%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP188^2 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:56:16 AM UTC 2026
% Result : Theorem 111.32s 17.12s
% Output : Refutation 111.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP188^2 : TPTP v9.2.1. Released v7.5.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n009.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 08:29:10 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : ITP188^2 : TPTP v9.2.1. Released v7.5.0.
% 0.20/0.46 % Domain : Interactive Theorem Proving
% 0.20/0.46 % Problem : Sledgehammer Strong_Late_Sim_SC problem prob_690__3415376_1
% 0.20/0.46 % Version : Especial.
% 0.20/0.46 % English :
% 0.20/0.46
% 0.20/0.46 % Refs : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.20/0.46 % : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.20/0.46 % Source : [Des21]
% 0.20/0.46 % Names : Strong_Late_Sim_SC/prob_690__3415376_1 [Des21]
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % Rating : 0.33 v8.1.0, 0.25 v7.5.0
% 0.20/0.46 % Syntax : Number of formulae : 317 ( 168 unt; 50 typ; 0 def)
% 0.20/0.46 % Number of atoms : 639 ( 265 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 17 ( 2 avg)
% 0.20/0.46 % Number of connectives : 4014 ( 149 ~; 5 |; 48 &;3470 @)
% 0.20/0.46 % ( 0 <=>; 342 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 28 ( 9 avg)
% 0.20/0.46 % Number of types : 6 ( 5 usr)
% 0.20/0.46 % Number of type conns : 142 ( 142 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 48 ( 45 usr; 13 con; 0-5 aty)
% 0.20/0.46 % Number of variables : 1294 ( 9 ^;1253 !; 13 ?;1294 :)
% 0.20/0.46 % ( 19 !>; 0 ?*; 0 @-; 0 @+)
% 0.20/0.46 % SPC : TH1_THM_EQU_NAR
% 0.20/0.46
% 0.20/0.46 % Comments : This file was generated by Sledgehammer 2021-02-23 16:17:18.163
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % Could-be-implicit typings (8)
% 0.20/0.46 thf(ty_t_Late__Semantics_Oresidual,type,
% 0.20/0.46 late_residual: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Late__Semantics_Osubject,type,
% 0.20/0.46 late_subject: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Late__Semantics_OfreeRes,type,
% 0.20/0.46 late_freeRes: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Product__Type_Oprod,type,
% 0.20/0.46 product_prod: $tType > $tType > $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Nominal_Onoption,type,
% 0.20/0.46 noption: $tType > $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Agent_Oname,type,
% 0.20/0.46 name: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Agent_Opi,type,
% 0.20/0.46 pi: $tType ).
% 0.20/0.46
% 0.20/0.46 thf(ty_t_Set_Oset,type,
% 0.20/0.46 set: $tType > $tType ).
% 0.20/0.46
% 0.20/0.46 % Explicit typings (42)
% 0.20/0.46 thf(sy_cl_Agent_Ofs__name,type,
% 0.20/0.46 fs_name:
% 0.20/0.46 !>[A: $tType] : $o ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OBang,type,
% 0.20/0.46 bang: pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OInput,type,
% 0.20/0.46 input: name > name > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OMatch,type,
% 0.20/0.46 match: name > name > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OMismatch,type,
% 0.20/0.46 mismatch: name > name > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OOutput,type,
% 0.20/0.46 output: name > name > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OPar,type,
% 0.20/0.46 par: pi > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OPiNil,type,
% 0.20/0.46 piNil: pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_ORes,type,
% 0.20/0.46 res: name > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OSum,type,
% 0.20/0.46 sum: pi > pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Opi_OTau,type,
% 0.20/0.46 tau: pi > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Osubs,type,
% 0.20/0.46 subs: pi > name > name > pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Agent_Osubst__name,type,
% 0.20/0.46 subst_name: name > name > name > name ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_If,type,
% 0.20/0.46 if:
% 0.20/0.46 !>[A: $tType] : ( $o > A > A > A ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_OfreeRes_OOutputR,type,
% 0.20/0.46 late_OutputR: name > name > late_freeRes ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_OfreeRes_OTauR,type,
% 0.20/0.46 late_TauR: late_freeRes ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_OfreeRes_OfreeRes__rec,type,
% 0.20/0.46 late_freeRes_rec:
% 0.20/0.46 !>[T: $tType] : ( ( name > name > T ) > T > late_freeRes > T ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Oresidual_OBoundR,type,
% 0.20/0.46 late_BoundR: late_subject > name > pi > late_residual ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Oresidual_OFreeR,type,
% 0.20/0.46 late_FreeR: late_freeRes > pi > late_residual ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Osubject_OBoundOutputS,type,
% 0.20/0.46 late_BoundOutputS: name > late_subject ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Osubject_OInputS,type,
% 0.20/0.46 late_InputS: name > late_subject ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Osubject_Osubject__rec,type,
% 0.20/0.46 late_subject_rec:
% 0.20/0.46 !>[T: $tType] : ( ( name > T ) > ( name > T ) > late_subject > T ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Late__Semantics_Otransitions,type,
% 0.20/0.46 late_transitions: pi > late_residual > $o ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Nominal_Oabs__fun,type,
% 0.20/0.46 abs_fun:
% 0.20/0.46 !>[X: $tType,A: $tType] : ( X > A > X > ( noption @ A ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Nominal_Ofresh,type,
% 0.20/0.46 fresh:
% 0.20/0.46 !>[X: $tType,A: $tType] : ( X > A > $o ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Product__Type_OPair,type,
% 0.20/0.46 product_Pair:
% 0.20/0.46 !>[A: $tType,B: $tType] : ( A > B > ( product_prod @ A @ B ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Product__Type_Ointernal__case__prod,type,
% 0.20/0.46 produc2004651681e_prod:
% 0.20/0.46 !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( product_prod @ A @ B ) > C ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Product__Type_Oold_Oprod_Orec__prod,type,
% 0.20/0.46 product_rec_prod:
% 0.20/0.46 !>[A: $tType,B: $tType,T: $tType] : ( ( A > B > T ) > ( product_prod @ A @ B ) > T ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Rel_Oeqvt,type,
% 0.20/0.46 eqvt:
% 0.20/0.46 !>[A: $tType] : ( ( set @ ( product_prod @ A @ A ) ) > $o ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Set_OCollect,type,
% 0.20/0.46 collect:
% 0.20/0.46 !>[A: $tType] : ( ( A > $o ) > ( set @ A ) ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Strong__Late__Sim_Oderivative,type,
% 0.20/0.46 strong2129052853vative: pi > pi > late_subject > name > ( set @ ( product_prod @ pi @ pi ) ) > $o ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_Strong__Late__Sim_Osimulation,type,
% 0.20/0.46 strong743114133lation: pi > ( set @ ( product_prod @ pi @ pi ) ) > pi > $o ).
% 0.20/0.46
% 0.20/0.46 thf(sy_c_member,type,
% 0.20/0.46 member:
% 0.20/0.46 !>[A: $tType] : ( A > ( set @ A ) > $o ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_P,type,
% 0.20/0.46 p: pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_P_H____,type,
% 0.20/0.46 p2: pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_PxQ____,type,
% 0.20/0.46 pxQ: pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_Q,type,
% 0.20/0.46 q: pi ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_Rel,type,
% 0.20/0.46 rel: set @ ( product_prod @ pi @ pi ) ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_aa____,type,
% 0.20/0.46 aa: late_subject ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_u____,type,
% 0.20/0.46 u: name ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_x,type,
% 0.20/0.46 x: name ).
% 0.20/0.46
% 0.20/0.46 thf(sy_v_y____,type,
% 0.20/0.46 y: name ).
% 0.20/0.46
% 0.20/0.46 % Relevant facts (256)
% 0.20/0.46 thf(fact_0_False,axiom,
% 0.20/0.46 x != u ).
% 0.20/0.46
% 0.20/0.46 % False
% 0.20/0.46 thf(fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062,axiom,
% 0.20/0.46 ( ( subs @ ( res @ x @ q ) @ y @ u )
% 0.20/0.46 = ( res @ x @ ( subs @ q @ y @ u ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % \<open><\<nu>x>Q[y::=u] = <\<nu>x>Q[y::=u]\<close>
% 0.20/0.46 thf(fact_2__092_060open_062y_A_092_060noteq_062_Ax_092_060close_062,axiom,
% 0.20/0.46 y != x ).
% 0.20/0.46
% 0.20/0.46 % \<open>y \<noteq> x\<close>
% 0.20/0.46 thf(fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ pi @ x @ ( subs @ p2 @ y @ u ) ).
% 0.20/0.46
% 0.20/0.46 % \<open>x \<sharp> P'[y::=u]\<close>
% 0.20/0.46 thf(fact_4_EqvtRel,axiom,
% 0.20/0.46 eqvt @ pi @ rel ).
% 0.20/0.46
% 0.20/0.46 % EqvtRel
% 0.20/0.46 thf(fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062,axiom,
% 0.20/0.46 ( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
% 0.20/0.46 = ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % \<open><\<nu>x>(P' \<parallel> Q)[y::=u] = <\<nu>x>(P'[y::=u] \<parallel> Q[y::=u])\<close>
% 0.20/0.46 thf(fact_6__092_060open_062y_A_092_060sharp_062_AQ_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ pi @ y @ q ).
% 0.20/0.46
% 0.20/0.46 % \<open>y \<sharp> Q\<close>
% 0.20/0.46 thf(fact_7__092_060open_062x_A_092_060sharp_062_AP_H_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ pi @ x @ p2 ).
% 0.20/0.46
% 0.20/0.46 % \<open>x \<sharp> P'\<close>
% 0.20/0.46 thf(fact_8_Res,axiom,
% 0.20/0.46 ! [Y: name,R: pi,S: pi] :
% 0.20/0.46 ( ( fresh @ name @ pi @ Y @ R )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ Y @ ( par @ R @ S ) ) @ ( par @ R @ ( res @ Y @ S ) ) ) @ rel ) ) ).
% 0.20/0.46
% 0.20/0.46 % Res
% 0.20/0.46 thf(fact_9_ScopeExt,axiom,
% 0.20/0.46 ! [Y: name,R: pi,Z: name,S: pi] :
% 0.20/0.46 ( ( fresh @ name @ pi @ Y @ R )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ Y @ ( res @ Z @ ( par @ R @ S ) ) ) @ ( res @ Z @ ( par @ R @ ( res @ Y @ S ) ) ) ) @ rel ) ) ).
% 0.20/0.46
% 0.20/0.46 % ScopeExt
% 0.20/0.46 thf(fact_10__092_060open_062y_A_092_060sharp_062_A_060_092_060nu_062x_062Q_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ pi @ y @ ( res @ x @ q ) ).
% 0.20/0.46
% 0.20/0.46 % \<open>y \<sharp> <\<nu>x>Q\<close>
% 0.20/0.46 thf(fact_11_assms_I1_J,axiom,
% 0.20/0.46 fresh @ name @ pi @ x @ p ).
% 0.20/0.46
% 0.20/0.46 % assms(1)
% 0.20/0.46 thf(fact_12_Bound_Ohyps_I3_J,axiom,
% 0.20/0.46 fresh @ name @ pi @ y @ ( par @ p @ ( res @ x @ q ) ) ).
% 0.20/0.46
% 0.20/0.46 % Bound.hyps(3)
% 0.20/0.46 thf(fact_13_Bound_Ohyps_I2_J,axiom,
% 0.20/0.46 fresh @ name @ pi @ y @ ( res @ x @ ( par @ p @ q ) ) ).
% 0.20/0.46
% 0.20/0.46 % Bound.hyps(2)
% 0.20/0.46 thf(fact_14_simps_I8_J,axiom,
% 0.20/0.46 ! [P: pi,Q: pi,C2: name,D: name] :
% 0.20/0.46 ( ( subs @ ( par @ P @ Q ) @ C2 @ D )
% 0.20/0.46 = ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simps(8)
% 0.20/0.46 thf(fact_15_simps_I9_J,axiom,
% 0.20/0.46 ! [X2: name,C2: name,D: name,P: pi] :
% 0.20/0.46 ( ( X2 != C2 )
% 0.20/0.46 => ( ( X2 != D )
% 0.20/0.46 => ( ( subs @ ( res @ X2 @ P ) @ C2 @ D )
% 0.20/0.46 = ( res @ X2 @ ( subs @ P @ C2 @ D ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simps(9)
% 0.20/0.46 thf(fact_16_subst__identity,axiom,
% 0.20/0.46 ! [P: pi,A2: name] :
% 0.20/0.46 ( ( subs @ P @ A2 @ A2 )
% 0.20/0.46 = P ) ).
% 0.20/0.46
% 0.20/0.46 % subst_identity
% 0.20/0.46 thf(fact_17_prod_Oinject,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,X1: A,X22: B,Y1: A,Y2: B] :
% 0.20/0.46 ( ( ( product_Pair @ A @ B @ X1 @ X22 )
% 0.20/0.46 = ( product_Pair @ A @ B @ Y1 @ Y2 ) )
% 0.20/0.46 = ( ( X1 = Y1 )
% 0.20/0.46 & ( X22 = Y2 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod.inject
% 0.20/0.46 thf(fact_18_old_Oprod_Oinject,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,A2: A,B2: B,A3: A,B3: B] :
% 0.20/0.46 ( ( ( product_Pair @ A @ B @ A2 @ B2 )
% 0.20/0.46 = ( product_Pair @ A @ B @ A3 @ B3 ) )
% 0.20/0.46 = ( ( A2 = A3 )
% 0.20/0.46 & ( B2 = B3 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % old.prod.inject
% 0.20/0.46 thf(fact_19_pi_Odistinct_I85_J,axiom,
% 0.20/0.46 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 0.20/0.46 ( ( par @ Pi1 @ Pi2 )
% 0.20/0.46 != ( res @ Name @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(85)
% 0.20/0.46 thf(fact_20__092_060open_062y_A_092_060sharp_062_AP_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ pi @ y @ p ).
% 0.20/0.46
% 0.20/0.46 % \<open>y \<sharp> P\<close>
% 0.20/0.46 thf(fact_21_Bound_Ohyps_I5_J,axiom,
% 0.20/0.46 fresh @ name @ ( product_prod @ name @ ( product_prod @ pi @ pi ) ) @ y @ ( product_Pair @ name @ ( product_prod @ pi @ pi ) @ x @ ( product_Pair @ pi @ pi @ p @ q ) ) ).
% 0.20/0.46
% 0.20/0.46 % Bound.hyps(5)
% 0.20/0.46 thf(fact_22_parSym,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi,Q: pi] :
% 0.20/0.46 ( ! [R2: pi,S2: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ R2 @ S2 ) @ ( par @ S2 @ R2 ) ) @ Rel )
% 0.20/0.46 => ( ! [R2: pi,S2: pi,X3: name] :
% 0.20/0.46 ( ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ R2 @ S2 ) @ Rel )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ R2 ) @ ( res @ X3 @ S2 ) ) @ Rel ) )
% 0.20/0.46 => ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % parSym
% 0.20/0.46 thf(fact_23_substRes2,axiom,
% 0.20/0.46 ! [B2: name,P: pi,A2: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ B2 @ P )
% 0.20/0.46 => ( ( res @ A2 @ P )
% 0.20/0.46 = ( res @ B2 @ ( subs @ P @ A2 @ B2 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % substRes2
% 0.20/0.46 thf(fact_24_Agent_OsubstRes3,axiom,
% 0.20/0.46 ! [B2: name,P: pi,A2: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ B2 @ P )
% 0.20/0.46 => ( ( subs @ ( res @ A2 @ P ) @ A2 @ B2 )
% 0.20/0.46 = ( res @ B2 @ ( subs @ P @ A2 @ B2 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Agent.substRes3
% 0.20/0.46 thf(fact_25_Bound_Ohyps_I4_J,axiom,
% 0.20/0.46 fresh @ name @ late_subject @ y @ aa ).
% 0.20/0.46
% 0.20/0.46 % Bound.hyps(4)
% 0.20/0.46 thf(fact_26__092_060open_062x_A_092_060sharp_062_Aa_092_060close_062,axiom,
% 0.20/0.46 fresh @ name @ late_subject @ x @ aa ).
% 0.20/0.46
% 0.20/0.46 % \<open>x \<sharp> a\<close>
% 0.20/0.46 thf(fact_27_pi_Ofresh_I8_J,axiom,
% 0.20/0.46 ! [A2: name,X22: pi,X1: pi] :
% 0.20/0.46 ( ( fresh @ name @ pi @ A2 @ ( par @ X22 @ X1 ) )
% 0.20/0.46 = ( ( fresh @ name @ pi @ A2 @ X22 )
% 0.20/0.46 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.fresh(8)
% 0.20/0.46 thf(fact_28_name__exists__fresh,axiom,
% 0.20/0.46 ! [A: $tType] :
% 0.20/0.46 ( ( fs_name @ A )
% 0.20/0.46 => ! [X2: A] :
% 0.20/0.46 ~ ! [C3: name] :
% 0.20/0.46 ~ ( fresh @ name @ A @ C3 @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % name_exists_fresh
% 0.20/0.46 thf(fact_29_freshRes,axiom,
% 0.20/0.46 ! [A2: name,P: pi] : ( fresh @ name @ pi @ A2 @ ( res @ A2 @ P ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshRes
% 0.20/0.46 thf(fact_30_fresh__fact2,axiom,
% 0.20/0.46 ! [A2: name,B2: name,P: pi] :
% 0.20/0.46 ( ( A2 != B2 )
% 0.20/0.46 => ( fresh @ name @ pi @ A2 @ ( subs @ P @ A2 @ B2 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % fresh_fact2
% 0.20/0.46 thf(fact_31_fresh__fact1,axiom,
% 0.20/0.46 ! [A2: name,P: pi,C2: name,B2: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ A2 @ P )
% 0.20/0.46 => ( ( A2 != C2 )
% 0.20/0.46 => ( fresh @ name @ pi @ A2 @ ( subs @ P @ B2 @ C2 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % fresh_fact1
% 0.20/0.46 thf(fact_32_forget,axiom,
% 0.20/0.46 ! [A2: name,P: pi,B2: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ A2 @ P )
% 0.20/0.46 => ( ( subs @ P @ A2 @ B2 )
% 0.20/0.46 = P ) ) ).
% 0.20/0.46
% 0.20/0.46 % forget
% 0.20/0.46 thf(fact_33_parAssocLeft,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi,Q: pi,R: pi] :
% 0.20/0.46 ( ! [S2: pi,T2: pi,U: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ ( par @ S2 @ T2 ) @ U ) @ ( par @ S2 @ ( par @ T2 @ U ) ) ) @ Rel )
% 0.20/0.46 => ( ! [S2: pi,T2: pi,X3: name] :
% 0.20/0.46 ( ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ S2 @ T2 ) @ Rel )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ S2 ) @ ( res @ X3 @ T2 ) ) @ Rel ) )
% 0.20/0.46 => ( ! [S2: pi,T2: pi,U: pi,X3: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ X3 @ S2 )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ ( par @ ( par @ S2 @ T2 ) @ U ) ) @ ( par @ S2 @ ( res @ X3 @ ( par @ T2 @ U ) ) ) ) @ Rel ) )
% 0.20/0.46 => ( ! [S2: pi,T2: pi,U: pi,X3: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ X3 @ U )
% 0.20/0.46 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ ( res @ X3 @ ( par @ S2 @ T2 ) ) @ U ) @ ( res @ X3 @ ( par @ S2 @ ( par @ T2 @ U ) ) ) ) @ Rel ) )
% 0.20/0.46 => ( strong743114133lation @ ( par @ ( par @ P @ Q ) @ R ) @ Rel @ ( par @ P @ ( par @ Q @ R ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % parAssocLeft
% 0.20/0.46 thf(fact_34_old_Oprod_Oinducts,axiom,
% 0.20/0.46 ! [B: $tType,A: $tType,P: ( product_prod @ A @ B ) > $o,Prod: product_prod @ A @ B] :
% 0.20/0.46 ( ! [A4: A,B4: B] : ( P @ ( product_Pair @ A @ B @ A4 @ B4 ) )
% 0.20/0.46 => ( P @ Prod ) ) ).
% 0.20/0.46
% 0.20/0.46 % old.prod.inducts
% 0.20/0.46 thf(fact_35_old_Oprod_Oexhaust,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,Y: product_prod @ A @ B] :
% 0.20/0.46 ~ ! [A4: A,B4: B] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ B @ A4 @ B4 ) ) ).
% 0.20/0.46
% 0.20/0.46 % old.prod.exhaust
% 0.20/0.46 thf(fact_36_prod__induct7,axiom,
% 0.20/0.46 ! [G: $tType,F: $tType,E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) )] :
% 0.20/0.46 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F,G2: G] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) @ D3 @ ( product_Pair @ E @ ( product_prod @ F @ G ) @ E2 @ ( product_Pair @ F @ G @ F2 @ G2 ) ) ) ) ) ) )
% 0.20/0.46 => ( P @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_induct7
% 0.20/0.46 thf(fact_37_prod__induct6,axiom,
% 0.20/0.46 ! [F: $tType,E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) )] :
% 0.20/0.46 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ F ) @ D3 @ ( product_Pair @ E @ F @ E2 @ F2 ) ) ) ) ) )
% 0.20/0.46 => ( P @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_induct6
% 0.20/0.46 thf(fact_38_prod__induct5,axiom,
% 0.20/0.46 ! [E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) )] :
% 0.20/0.46 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ E ) @ C3 @ ( product_Pair @ D2 @ E @ D3 @ E2 ) ) ) ) )
% 0.20/0.46 => ( P @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_induct5
% 0.20/0.46 thf(fact_39_prod__induct4,axiom,
% 0.20/0.46 ! [D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) )] :
% 0.20/0.46 ( ! [A4: A,B4: B,C3: C,D3: D2] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ D2 ) @ B4 @ ( product_Pair @ C @ D2 @ C3 @ D3 ) ) ) )
% 0.20/0.46 => ( P @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_induct4
% 0.20/0.46 thf(fact_40_prod__induct3,axiom,
% 0.20/0.46 ! [C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ C ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ C )] :
% 0.20/0.46 ( ! [A4: A,B4: B,C3: C] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ C ) @ A4 @ ( product_Pair @ B @ C @ B4 @ C3 ) ) )
% 0.20/0.46 => ( P @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_induct3
% 0.20/0.46 thf(fact_41_prod__cases7,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,F: $tType,G: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) )] :
% 0.20/0.46 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F,G2: G] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) @ D3 @ ( product_Pair @ E @ ( product_prod @ F @ G ) @ E2 @ ( product_Pair @ F @ G @ F2 @ G2 ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases7
% 0.20/0.46 thf(fact_42_prod__cases6,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,F: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) )] :
% 0.20/0.46 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ F ) @ D3 @ ( product_Pair @ E @ F @ E2 @ F2 ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases6
% 0.20/0.46 thf(fact_43_prod__cases5,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) )] :
% 0.20/0.46 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ E ) @ C3 @ ( product_Pair @ D2 @ E @ D3 @ E2 ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases5
% 0.20/0.46 thf(fact_44_prod__cases4,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,C: $tType,D2: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) )] :
% 0.20/0.46 ~ ! [A4: A,B4: B,C3: C,D3: D2] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ D2 ) @ B4 @ ( product_Pair @ C @ D2 @ C3 @ D3 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases4
% 0.20/0.46 thf(fact_45_mem__Collect__eq,axiom,
% 0.20/0.46 ! [A: $tType,A2: A,P: A > $o] :
% 0.20/0.46 ( ( member @ A @ A2 @ ( collect @ A @ P ) )
% 0.20/0.46 = ( P @ A2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % mem_Collect_eq
% 0.20/0.46 thf(fact_46_Collect__mem__eq,axiom,
% 0.20/0.46 ! [A: $tType,A5: set @ A] :
% 0.20/0.46 ( ( collect @ A
% 0.20/0.46 @ ^ [X4: A] : ( member @ A @ X4 @ A5 ) )
% 0.20/0.46 = A5 ) ).
% 0.20/0.46
% 0.20/0.46 % Collect_mem_eq
% 0.20/0.46 thf(fact_47_Collect__cong,axiom,
% 0.20/0.46 ! [A: $tType,P: A > $o,Q: A > $o] :
% 0.20/0.46 ( ! [X3: A] :
% 0.20/0.46 ( ( P @ X3 )
% 0.20/0.46 = ( Q @ X3 ) )
% 0.20/0.46 => ( ( collect @ A @ P )
% 0.20/0.46 = ( collect @ A @ Q ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Collect_cong
% 0.20/0.46 thf(fact_48_prod__cases3,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,C: $tType,Y: product_prod @ A @ ( product_prod @ B @ C )] :
% 0.20/0.46 ~ ! [A4: A,B4: B,C3: C] :
% 0.20/0.46 ( Y
% 0.20/0.46 != ( product_Pair @ A @ ( product_prod @ B @ C ) @ A4 @ ( product_Pair @ B @ C @ B4 @ C3 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases3
% 0.20/0.46 thf(fact_49_Pair__inject,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,A2: A,B2: B,A3: A,B3: B] :
% 0.20/0.46 ( ( ( product_Pair @ A @ B @ A2 @ B2 )
% 0.20/0.46 = ( product_Pair @ A @ B @ A3 @ B3 ) )
% 0.20/0.46 => ~ ( ( A2 = A3 )
% 0.20/0.46 => ( B2 != B3 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Pair_inject
% 0.20/0.46 thf(fact_50_prod__cases,axiom,
% 0.20/0.46 ! [B: $tType,A: $tType,P: ( product_prod @ A @ B ) > $o,P2: product_prod @ A @ B] :
% 0.20/0.46 ( ! [A4: A,B4: B] : ( P @ ( product_Pair @ A @ B @ A4 @ B4 ) )
% 0.20/0.46 => ( P @ P2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % prod_cases
% 0.20/0.46 thf(fact_51_surj__pair,axiom,
% 0.20/0.46 ! [A: $tType,B: $tType,P2: product_prod @ A @ B] :
% 0.20/0.46 ? [X3: A,Y3: B] :
% 0.20/0.46 ( P2
% 0.20/0.46 = ( product_Pair @ A @ B @ X3 @ Y3 ) ) ).
% 0.20/0.46
% 0.20/0.46 % surj_pair
% 0.20/0.46 thf(fact_52_pi_Oinject_I7_J,axiom,
% 0.20/0.46 ! [X22: pi,X1: pi,Y2: pi,Y1: pi] :
% 0.20/0.46 ( ( ( par @ X22 @ X1 )
% 0.20/0.46 = ( par @ Y2 @ Y1 ) )
% 0.20/0.46 = ( ( X22 = Y2 )
% 0.20/0.46 & ( X1 = Y1 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.inject(7)
% 0.20/0.46 thf(fact_53_fresh__prod,axiom,
% 0.20/0.46 ! [A: $tType,X: $tType,B: $tType,A2: X,X2: A,Y: B] :
% 0.20/0.46 ( ( fresh @ X @ ( product_prod @ A @ B ) @ A2 @ ( product_Pair @ A @ B @ X2 @ Y ) )
% 0.20/0.46 = ( ( fresh @ X @ A @ A2 @ X2 )
% 0.20/0.46 & ( fresh @ X @ B @ A2 @ Y ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % fresh_prod
% 0.20/0.46 thf(fact_54_substTrans,axiom,
% 0.20/0.46 ! [B2: name,P: pi,A2: name,C2: name] :
% 0.20/0.46 ( ( fresh @ name @ pi @ B2 @ P )
% 0.20/0.46 => ( ( subs @ ( subs @ P @ A2 @ B2 ) @ B2 @ C2 )
% 0.20/0.46 = ( subs @ P @ A2 @ C2 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % substTrans
% 0.20/0.46 thf(fact_55_fresh__prodD_I1_J,axiom,
% 0.20/0.46 ! [C: $tType,A: $tType,B: $tType,A2: A,X2: B,Y: C] :
% 0.20/0.46 ( ( fresh @ A @ ( product_prod @ B @ C ) @ A2 @ ( product_Pair @ B @ C @ X2 @ Y ) )
% 0.20/0.46 => ( fresh @ A @ B @ A2 @ X2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % fresh_prodD(1)
% 0.20/0.46 thf(fact_56_fresh__prodD_I2_J,axiom,
% 0.20/0.46 ! [B: $tType,A: $tType,C: $tType,A2: A,X2: B,Y: C] :
% 0.20/0.46 ( ( fresh @ A @ ( product_prod @ B @ C ) @ A2 @ ( product_Pair @ B @ C @ X2 @ Y ) )
% 0.20/0.46 => ( fresh @ A @ C @ A2 @ Y ) ) ).
% 0.20/0.46
% 0.20/0.46 % fresh_prodD(2)
% 0.20/0.46 thf(fact_57_old_Oprod_Orec,axiom,
% 0.20/0.46 ! [A: $tType,T: $tType,B: $tType,F1: A > B > T,A2: A,B2: B] :
% 0.20/0.46 ( ( product_rec_prod @ A @ B @ T @ F1 @ ( product_Pair @ A @ B @ A2 @ B2 ) )
% 0.20/0.46 = ( F1 @ A2 @ B2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % old.prod.rec
% 0.20/0.46 thf(fact_58_Bound_Ohyps_I1_J,axiom,
% 0.20/0.46 late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ aa @ y @ pxQ ) ).
% 0.20/0.46
% 0.20/0.46 % Bound.hyps(1)
% 0.20/0.46 thf(fact_59__092_060open_062_060_092_060nu_062x_062_IP_A_092_060parallel_062_AQ_J_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_A_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_092_060close_062,axiom,
% 0.20/0.46 late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_BoundR @ aa @ y @ ( res @ x @ ( par @ p2 @ q ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % \<open><\<nu>x>(P \<parallel> Q) \<longmapsto> a\<guillemotleft>y\<guillemotright> \<prec> <\<nu>x>(P' \<parallel> Q)\<close>
% 0.20/0.46 thf(fact_60_cPar1_Ohyps,axiom,
% 0.20/0.46 late_transitions @ p @ ( late_BoundR @ aa @ y @ p2 ) ).
% 0.20/0.46
% 0.20/0.46 % cPar1.hyps
% 0.20/0.46 thf(fact_61__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062,axiom,
% 0.20/0.46 late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ aa @ y @ ( par @ p2 @ q ) ) ).
% 0.20/0.46
% 0.20/0.46 % \<open>P \<parallel> Q \<longmapsto> a\<guillemotleft>y\<guillemotright> \<prec> P' \<parallel> Q\<close>
% 0.20/0.46 thf(fact_62_freshBoundDerivative_I2_J,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.46 => ( ( Y != X2 )
% 0.20/0.46 => ( fresh @ name @ pi @ Y @ P3 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshBoundDerivative(2)
% 0.20/0.46 thf(fact_63_freshResidual,axiom,
% 0.20/0.46 ! [P: pi,Rs: late_residual,X2: name] :
% 0.20/0.46 ( ( late_transitions @ P @ Rs )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( fresh @ name @ late_residual @ X2 @ Rs ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshResidual
% 0.20/0.46 thf(fact_64_parCasesB,axiom,
% 0.20/0.46 ! [P: pi,Q: pi,A2: late_subject,X2: name,PQ: pi,Prop: pi > $o] :
% 0.20/0.46 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ PQ ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.46 => ( ! [P4: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P4 ) )
% 0.20/0.46 => ( Prop @ ( par @ P4 @ Q ) ) )
% 0.20/0.46 => ( ! [Q2: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q2 ) )
% 0.20/0.46 => ( Prop @ ( par @ P @ Q2 ) ) )
% 0.20/0.46 => ( Prop @ PQ ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % parCasesB
% 0.20/0.46 thf(fact_65_Late__Semantics_OPar2B,axiom,
% 0.20/0.46 ! [Q: pi,A2: late_subject,X2: name,Q3: pi,P: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P @ Q3 ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Late_Semantics.Par2B
% 0.20/0.46 thf(fact_66_Late__Semantics_OPar1B,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Q: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P3 @ Q ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Late_Semantics.Par1B
% 0.20/0.46 thf(fact_67_Late__Semantics_OResB,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ Y @ A2 )
% 0.20/0.46 => ( ( Y != X2 )
% 0.20/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A2 @ X2 @ ( res @ Y @ P3 ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Late_Semantics.ResB
% 0.20/0.46 thf(fact_68_freshBoundDerivative_I1_J,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.46 => ( fresh @ name @ late_subject @ Y @ A2 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshBoundDerivative(1)
% 0.20/0.46 thf(fact_69_transitions_OResB,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ Y @ A2 )
% 0.20/0.46 => ( ( Y != X2 )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 0.20/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A2 @ X2 @ ( res @ Y @ P3 ) ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % transitions.ResB
% 0.20/0.46 thf(fact_70_transitions_OPar2B,axiom,
% 0.20/0.46 ! [Q: pi,A2: late_subject,X2: name,Q3: pi,P: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P @ Q3 ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % transitions.Par2B
% 0.20/0.46 thf(fact_71_transitions_OPar1B,axiom,
% 0.20/0.46 ! [P: pi,A2: late_subject,X2: name,P3: pi,Q: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P3 @ Q ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % transitions.Par1B
% 0.20/0.46 thf(fact_72_parCasesB_H,axiom,
% 0.20/0.46 ! [P: pi,Q: pi,B2: late_subject,Y: name,P3: pi] :
% 0.20/0.46 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B2 @ Y @ P3 ) )
% 0.20/0.46 => ( ! [P5: pi,A4: late_subject,X3: name,P4: pi,Q4: pi] :
% 0.20/0.46 ( ( ( par @ P @ Q )
% 0.20/0.46 = ( par @ P5 @ Q4 ) )
% 0.20/0.46 => ( ( ( late_BoundR @ B2 @ Y @ P3 )
% 0.20/0.46 = ( late_BoundR @ A4 @ X3 @ ( par @ P4 @ Q4 ) ) )
% 0.20/0.46 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ Q4 )
% 0.20/0.46 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) )
% 0.20/0.46 => ~ ! [Q4: pi,A4: late_subject,X3: name,Q2: pi,P5: pi] :
% 0.20/0.46 ( ( ( par @ P @ Q )
% 0.20/0.46 = ( par @ P5 @ Q4 ) )
% 0.20/0.46 => ( ( ( late_BoundR @ B2 @ Y @ P3 )
% 0.20/0.46 = ( late_BoundR @ A4 @ X3 @ ( par @ P5 @ Q2 ) ) )
% 0.20/0.46 => ( ( late_transitions @ Q4 @ ( late_BoundR @ A4 @ X3 @ Q2 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ Q4 )
% 0.20/0.46 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % parCasesB'
% 0.20/0.46 thf(fact_73_simE_I1_J,axiom,
% 0.20/0.46 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi ),Q: pi,A2: late_subject,X2: name,Q3: pi] :
% 0.20/0.46 ( ( strong743114133lation @ P @ Rel @ Q )
% 0.20/0.46 => ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.46 => ? [P4: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P4 ) )
% 0.20/0.46 & ( strong2129052853vative @ P4 @ Q3 @ A2 @ X2 @ Rel ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simE(1)
% 0.20/0.46 thf(fact_74_internal__case__prod__conv,axiom,
% 0.20/0.46 ! [B: $tType,A: $tType,C: $tType,C2: B > C > A,A2: B,B2: C] :
% 0.20/0.46 ( ( produc2004651681e_prod @ B @ C @ A @ C2 @ ( product_Pair @ B @ C @ A2 @ B2 ) )
% 0.20/0.46 = ( C2 @ A2 @ B2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % internal_case_prod_conv
% 0.20/0.46 thf(fact_75_simCasesCont,axiom,
% 0.20/0.46 ! [A: $tType] :
% 0.20/0.46 ( ( fs_name @ A )
% 0.20/0.46 => ! [Rel: set @ ( product_prod @ pi @ pi ),Q: pi,P: pi,C4: A] :
% 0.20/0.46 ( ( eqvt @ pi @ Rel )
% 0.20/0.46 => ( ! [A4: late_subject,X3: name,Q2: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ X3 @ Q2 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ P )
% 0.20/0.46 => ( ( fresh @ name @ pi @ X3 @ Q )
% 0.20/0.46 => ( ( fresh @ name @ late_subject @ X3 @ A4 )
% 0.20/0.46 => ( ( fresh @ name @ A @ X3 @ C4 )
% 0.20/0.46 => ? [P6: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ X3 @ P6 ) )
% 0.20/0.46 & ( strong2129052853vative @ P6 @ Q2 @ A4 @ X3 @ Rel ) ) ) ) ) ) )
% 0.20/0.46 => ( ! [Alpha: late_freeRes,Q2: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.20/0.46 => ? [P6: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 0.20/0.46 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) )
% 0.20/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simCasesCont
% 0.20/0.46 thf(fact_76_parZeroLeft,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 0.20/0.46 ( ! [Q4: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ Q4 @ piNil ) @ Q4 ) @ Rel )
% 0.20/0.46 => ( strong743114133lation @ ( par @ P @ piNil ) @ Rel @ P ) ) ).
% 0.20/0.46
% 0.20/0.46 % parZeroLeft
% 0.20/0.46 thf(fact_77_parZeroRight,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 0.20/0.46 ( ! [Q4: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ Q4 @ ( par @ Q4 @ piNil ) ) @ Rel )
% 0.20/0.46 => ( strong743114133lation @ P @ Rel @ ( par @ P @ piNil ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % parZeroRight
% 0.20/0.46 thf(fact_78_inputIneqTrans,axiom,
% 0.20/0.46 ! [A2: name,X2: name,P: pi,B2: late_subject,Y: name,P3: pi] :
% 0.20/0.46 ( ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ B2 @ Y @ P3 ) )
% 0.20/0.46 => ~ ( fresh @ name @ late_subject @ A2 @ B2 ) ) ).
% 0.20/0.46
% 0.20/0.46 % inputIneqTrans
% 0.20/0.46 thf(fact_79_resTauBoundTrans,axiom,
% 0.20/0.46 ! [X2: name,P: pi,A2: late_subject,Y: name,P3: pi] :
% 0.20/0.46 ~ ( late_transitions @ ( res @ X2 @ ( tau @ P ) ) @ ( late_BoundR @ A2 @ Y @ P3 ) ) ).
% 0.20/0.46
% 0.20/0.46 % resTauBoundTrans
% 0.20/0.46 thf(fact_80_pi_Ofresh_I1_J,axiom,
% 0.20/0.46 ! [A2: name] : ( fresh @ name @ pi @ A2 @ piNil ) ).
% 0.20/0.46
% 0.20/0.46 % pi.fresh(1)
% 0.20/0.46 thf(fact_81_pi_Ofresh_I3_J,axiom,
% 0.20/0.46 ! [A2: name,X1: pi] :
% 0.20/0.46 ( ( fresh @ name @ pi @ A2 @ ( tau @ X1 ) )
% 0.20/0.46 = ( fresh @ name @ pi @ A2 @ X1 ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.fresh(3)
% 0.20/0.46 thf(fact_82_simps_I1_J,axiom,
% 0.20/0.46 ! [C2: name,D: name] :
% 0.20/0.46 ( ( subs @ piNil @ C2 @ D )
% 0.20/0.46 = piNil ) ).
% 0.20/0.46
% 0.20/0.46 % simps(1)
% 0.20/0.46 thf(fact_83_simps_I2_J,axiom,
% 0.20/0.46 ! [P: pi,C2: name,D: name] :
% 0.20/0.46 ( ( subs @ ( tau @ P ) @ C2 @ D )
% 0.20/0.46 = ( tau @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simps(2)
% 0.20/0.46 thf(fact_84_residual_Ofresh_I2_J,axiom,
% 0.20/0.46 ! [A2: name,X22: late_freeRes,X1: pi] :
% 0.20/0.46 ( ( fresh @ name @ late_residual @ A2 @ ( late_FreeR @ X22 @ X1 ) )
% 0.20/0.46 = ( ( fresh @ name @ late_freeRes @ A2 @ X22 )
% 0.20/0.46 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % residual.fresh(2)
% 0.20/0.46 thf(fact_85_inputFreeTrans,axiom,
% 0.20/0.46 ! [A2: name,X2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 0.20/0.46 ~ ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) ) ).
% 0.20/0.46
% 0.20/0.46 % inputFreeTrans
% 0.20/0.46 thf(fact_86_residual_Oinject_I2_J,axiom,
% 0.20/0.46 ! [X22: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
% 0.20/0.46 ( ( ( late_FreeR @ X22 @ X1 )
% 0.20/0.46 = ( late_FreeR @ Y2 @ Y1 ) )
% 0.20/0.46 = ( ( X22 = Y2 )
% 0.20/0.46 & ( X1 = Y1 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % residual.inject(2)
% 0.20/0.46 thf(fact_87_nilSim_I2_J,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,X2: name,P: pi] :
% 0.20/0.46 ~ ( strong743114133lation @ piNil @ Rel @ ( input @ A2 @ X2 @ P ) ) ).
% 0.20/0.46
% 0.20/0.46 % nilSim(2)
% 0.20/0.46 thf(fact_88_nilSim_I1_J,axiom,
% 0.20/0.46 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 0.20/0.46 ~ ( strong743114133lation @ piNil @ Rel @ ( tau @ P ) ) ).
% 0.20/0.46
% 0.20/0.46 % nilSim(1)
% 0.20/0.46 thf(fact_89_pi_Odistinct_I3_J,axiom,
% 0.20/0.46 ! [Pi: pi] :
% 0.20/0.46 ( piNil
% 0.20/0.46 != ( tau @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(3)
% 0.20/0.46 thf(fact_90_pi_Odistinct_I5_J,axiom,
% 0.20/0.46 ! [Name1: name,Name2: name,Pi: pi] :
% 0.20/0.46 ( piNil
% 0.20/0.46 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(5)
% 0.20/0.46 thf(fact_91_pi_Odistinct_I35_J,axiom,
% 0.20/0.46 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.46 ( ( tau @ Pi3 )
% 0.20/0.46 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(35)
% 0.20/0.46 thf(fact_92_pi_Oinject_I2_J,axiom,
% 0.20/0.46 ! [X1: pi,Y1: pi] :
% 0.20/0.46 ( ( ( tau @ X1 )
% 0.20/0.46 = ( tau @ Y1 ) )
% 0.20/0.46 = ( X1 = Y1 ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.inject(2)
% 0.20/0.46 thf(fact_93_resInputFreeTrans,axiom,
% 0.20/0.46 ! [X2: name,A2: name,Y: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 0.20/0.46 ~ ( late_transitions @ ( res @ X2 @ ( input @ A2 @ Y @ P ) ) @ ( late_FreeR @ Alpha2 @ P3 ) ) ).
% 0.20/0.46
% 0.20/0.46 % resInputFreeTrans
% 0.20/0.46 thf(fact_94_residual_Odistinct_I1_J,axiom,
% 0.20/0.46 ! [Subject: late_subject,Name3: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
% 0.20/0.46 ( ( late_BoundR @ Subject @ Name3 @ Pi3 )
% 0.20/0.46 != ( late_FreeR @ FreeRes @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % residual.distinct(1)
% 0.20/0.46 thf(fact_95_residual_Oinducts,axiom,
% 0.20/0.46 ! [P: late_residual > $o,Residual: late_residual] :
% 0.20/0.46 ( ! [Subject2: late_subject,Name4: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) )
% 0.20/0.46 => ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 0.20/0.46 => ( P @ Residual ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % residual.inducts
% 0.20/0.46 thf(fact_96_pi_Odistinct_I57_J,axiom,
% 0.20/0.46 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 0.20/0.46 ( ( input @ Name12 @ Name22 @ Pi3 )
% 0.20/0.46 != ( res @ Name @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(57)
% 0.20/0.46 thf(fact_97_pi_Odistinct_I55_J,axiom,
% 0.20/0.46 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.46 ( ( input @ Name12 @ Name22 @ Pi3 )
% 0.20/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(55)
% 0.20/0.46 thf(fact_98_pi_Odistinct_I45_J,axiom,
% 0.20/0.46 ! [Pi3: pi,Name: name,Pi: pi] :
% 0.20/0.46 ( ( tau @ Pi3 )
% 0.20/0.46 != ( res @ Name @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(45)
% 0.20/0.46 thf(fact_99_pi_Odistinct_I43_J,axiom,
% 0.20/0.46 ! [Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.46 ( ( tau @ Pi3 )
% 0.20/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(43)
% 0.20/0.46 thf(fact_100_nilCases_H,axiom,
% 0.20/0.46 ! [Rs: late_residual] :
% 0.20/0.46 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.20/0.46
% 0.20/0.46 % nilCases'
% 0.20/0.46 thf(fact_101_zeroTrans,axiom,
% 0.20/0.46 ! [Rs: late_residual] :
% 0.20/0.46 ~ ( late_transitions @ piNil @ Rs ) ).
% 0.20/0.46
% 0.20/0.46 % zeroTrans
% 0.20/0.46 thf(fact_102_pi_Odistinct_I15_J,axiom,
% 0.20/0.46 ! [Name: name,Pi: pi] :
% 0.20/0.46 ( piNil
% 0.20/0.46 != ( res @ Name @ Pi ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(15)
% 0.20/0.46 thf(fact_103_pi_Odistinct_I13_J,axiom,
% 0.20/0.46 ! [Pi12: pi,Pi22: pi] :
% 0.20/0.46 ( piNil
% 0.20/0.46 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.46
% 0.20/0.46 % pi.distinct(13)
% 0.20/0.46 thf(fact_104_nilSimRight,axiom,
% 0.20/0.46 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi )] : ( strong743114133lation @ P @ Rel @ piNil ) ).
% 0.20/0.46
% 0.20/0.46 % nilSimRight
% 0.20/0.46 thf(fact_105_ResF,axiom,
% 0.20/0.46 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ late_freeRes @ Y @ Alpha2 )
% 0.20/0.46 => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha2 @ ( res @ Y @ P3 ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % ResF
% 0.20/0.46 thf(fact_106_resCasesF_H,axiom,
% 0.20/0.46 ! [X2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 0.20/0.46 ( ( late_transitions @ ( res @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.46 => ~ ! [P5: pi,Alpha: late_freeRes,P4: pi,Y3: name] :
% 0.20/0.46 ( ( ( res @ X2 @ P )
% 0.20/0.46 = ( res @ Y3 @ P5 ) )
% 0.20/0.46 => ( ( ( late_FreeR @ Alpha2 @ P3 )
% 0.20/0.46 = ( late_FreeR @ Alpha @ ( res @ Y3 @ P4 ) ) )
% 0.20/0.46 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha @ P4 ) )
% 0.20/0.46 => ~ ( fresh @ name @ late_freeRes @ Y3 @ Alpha ) ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % resCasesF'
% 0.20/0.46 thf(fact_107_resCasesF,axiom,
% 0.20/0.46 ! [X2: name,P: pi,Alpha2: late_freeRes,XP: pi,F3: pi > $o] :
% 0.20/0.46 ( ( late_transitions @ ( res @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ XP ) )
% 0.20/0.46 => ( ! [P4: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P4 ) )
% 0.20/0.46 => ( ( fresh @ name @ late_freeRes @ X2 @ Alpha2 )
% 0.20/0.46 => ( F3 @ ( res @ X2 @ P4 ) ) ) )
% 0.20/0.46 => ( F3 @ XP ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % resCasesF
% 0.20/0.46 thf(fact_108_Par1F,axiom,
% 0.20/0.46 ! [P: pi,Alpha2: late_freeRes,P3: pi,Q: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha2 @ ( par @ P3 @ Q ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Par1F
% 0.20/0.46 thf(fact_109_Par2F,axiom,
% 0.20/0.46 ! [Q: pi,Alpha2: late_freeRes,Q3: pi,P: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.20/0.46 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha2 @ ( par @ P @ Q3 ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % Par2F
% 0.20/0.46 thf(fact_110_freshFreeDerivative_I1_J,axiom,
% 0.20/0.46 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.46 => ( fresh @ name @ late_freeRes @ Y @ Alpha2 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshFreeDerivative(1)
% 0.20/0.46 thf(fact_111_freshFreeDerivative_I2_J,axiom,
% 0.20/0.46 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.46 => ( fresh @ name @ pi @ Y @ P3 ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % freshFreeDerivative(2)
% 0.20/0.46 thf(fact_112_simE_I2_J,axiom,
% 0.20/0.46 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi ),Q: pi,Alpha2: late_freeRes,Q3: pi] :
% 0.20/0.46 ( ( strong743114133lation @ P @ Rel @ Q )
% 0.20/0.46 => ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 0.20/0.46 => ? [P4: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P4 ) )
% 0.20/0.46 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P4 @ Q3 ) @ Rel ) ) ) ) ).
% 0.20/0.46
% 0.20/0.46 % simE(2)
% 0.20/0.46 thf(fact_113_resTrans_I2_J,axiom,
% 0.20/0.46 ! [X2: name,Y: name,P: pi,Rs: late_residual] :
% 0.20/0.46 ~ ( late_transitions @ ( res @ X2 @ ( input @ X2 @ Y @ P ) ) @ Rs ) ).
% 0.20/0.46
% 0.20/0.46 % resTrans(2)
% 0.20/0.46 thf(fact_114_simCases,axiom,
% 0.20/0.46 ! [Q: pi,P: pi,Rel: set @ ( product_prod @ pi @ pi )] :
% 0.20/0.46 ( ! [A4: late_subject,Y3: name,Q2: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ Y3 @ Q2 ) )
% 0.20/0.46 => ( ( fresh @ name @ pi @ Y3 @ P )
% 0.20/0.46 => ? [P6: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ Y3 @ P6 ) )
% 0.20/0.46 & ( strong2129052853vative @ P6 @ Q2 @ A4 @ Y3 @ Rel ) ) ) )
% 0.20/0.46 => ( ! [Alpha: late_freeRes,Q2: pi] :
% 0.20/0.46 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.20/0.46 => ? [P6: pi] :
% 0.20/0.46 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 0.20/0.46 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) )
% 0.20/0.46 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simCases
% 0.20/0.47 thf(fact_115_simulation__def,axiom,
% 0.20/0.47 ( strong743114133lation
% 0.20/0.47 = ( ^ [P7: pi,Rel2: set @ ( product_prod @ pi @ pi ),Q5: pi] :
% 0.20/0.47 ( ! [A6: late_subject,X4: name,Q6: pi] :
% 0.20/0.47 ( ( ( late_transitions @ Q5 @ ( late_BoundR @ A6 @ X4 @ Q6 ) )
% 0.20/0.47 & ( fresh @ name @ pi @ X4 @ P7 ) )
% 0.20/0.47 => ? [P8: pi] :
% 0.20/0.47 ( ( late_transitions @ P7 @ ( late_BoundR @ A6 @ X4 @ P8 ) )
% 0.20/0.47 & ( strong2129052853vative @ P8 @ Q6 @ A6 @ X4 @ Rel2 ) ) )
% 0.20/0.47 & ! [Alpha3: late_freeRes,Q6: pi] :
% 0.20/0.47 ( ( late_transitions @ Q5 @ ( late_FreeR @ Alpha3 @ Q6 ) )
% 0.20/0.47 => ? [P8: pi] :
% 0.20/0.47 ( ( late_transitions @ P7 @ ( late_FreeR @ Alpha3 @ P8 ) )
% 0.20/0.47 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P8 @ Q6 ) @ Rel2 ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simulation_def
% 0.20/0.47 thf(fact_116_tauBoundTrans,axiom,
% 0.20/0.47 ! [P: pi,A2: late_subject,X2: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A2 @ X2 @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % tauBoundTrans
% 0.20/0.47 thf(fact_117_resZeroTrans,axiom,
% 0.20/0.47 ! [X2: name,Rs: late_residual] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ piNil ) @ Rs ) ).
% 0.20/0.47
% 0.20/0.47 % resZeroTrans
% 0.20/0.47 thf(fact_118_residual_Ostrong__induct,axiom,
% 0.20/0.47 ! [N: $tType] :
% 0.20/0.47 ( ( fs_name @ N )
% 0.20/0.47 => ! [P: N > late_residual > $o,Z: N,Residual: late_residual] :
% 0.20/0.47 ( ! [Subject2: late_subject,Name4: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ( fresh @ name @ N @ Name4 @ Z2 )
% 0.20/0.47 => ( ( fresh @ name @ late_subject @ Name4 @ Subject2 )
% 0.20/0.47 => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) ) ) )
% 0.20/0.47 => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: N] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 0.20/0.47 => ( P @ Z @ Residual ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % residual.strong_induct
% 0.20/0.47 thf(fact_119_residual_Ostrong__inducts,axiom,
% 0.20/0.47 ! [A: $tType] :
% 0.20/0.47 ( ( fs_name @ A )
% 0.20/0.47 => ! [P: A > late_residual > $o,Z: A,Residual: late_residual] :
% 0.20/0.47 ( ! [Subject2: late_subject,Name4: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ( fresh @ name @ A @ Name4 @ Z2 )
% 0.20/0.47 => ( ( fresh @ name @ late_subject @ Name4 @ Subject2 )
% 0.20/0.47 => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) ) ) )
% 0.20/0.47 => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: A] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 0.20/0.47 => ( P @ Z @ Residual ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % residual.strong_inducts
% 0.20/0.47 thf(fact_120_resSimCases,axiom,
% 0.20/0.47 ! [A: $tType] :
% 0.20/0.47 ( ( fs_name @ A )
% 0.20/0.47 => ! [Rel: set @ ( product_prod @ pi @ pi ),Q: pi,X2: name,P: pi,C4: A] :
% 0.20/0.47 ( ( eqvt @ pi @ Rel )
% 0.20/0.47 => ( ! [Q2: pi,A4: name] :
% 0.20/0.47 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A4 @ X2 ) @ Q2 ) )
% 0.20/0.47 => ( ( A4 != X2 )
% 0.20/0.47 => ? [P6: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ X2 @ P6 ) )
% 0.20/0.47 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) ) )
% 0.20/0.47 => ( ! [Q2: pi,A4: late_subject,Y3: name] :
% 0.20/0.47 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ Y3 @ Q2 ) )
% 0.20/0.47 => ( ( fresh @ name @ late_subject @ X2 @ A4 )
% 0.20/0.47 => ( ( X2 != Y3 )
% 0.20/0.47 => ( ( fresh @ name @ A @ Y3 @ C4 )
% 0.20/0.47 => ? [P6: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ Y3 @ P6 ) )
% 0.20/0.47 & ( strong2129052853vative @ P6 @ ( res @ X2 @ Q2 ) @ A4 @ Y3 @ Rel ) ) ) ) ) )
% 0.20/0.47 => ( ! [Q2: pi,Alpha: late_freeRes] :
% 0.20/0.47 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 0.20/0.47 => ( ( fresh @ name @ late_freeRes @ X2 @ Alpha )
% 0.20/0.47 => ? [P6: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 0.20/0.47 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ ( res @ X2 @ Q2 ) ) @ Rel ) ) ) )
% 0.20/0.47 => ( strong743114133lation @ P @ Rel @ ( res @ X2 @ Q ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % resSimCases
% 0.20/0.47 thf(fact_121_resInputBoundOutputTrans,axiom,
% 0.20/0.47 ! [X2: name,A2: name,Y: name,P: pi,B2: name,Z: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( input @ A2 @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Z @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % resInputBoundOutputTrans
% 0.20/0.47 thf(fact_122_resTauOutputTrans,axiom,
% 0.20/0.47 ! [X2: name,P: pi,A2: name,B2: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( tau @ P ) ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % resTauOutputTrans
% 0.20/0.47 thf(fact_123_residual_Ofresh_I1_J,axiom,
% 0.20/0.47 ! [A2: name,X32: late_subject,X1: name,X22: pi] :
% 0.20/0.47 ( ( fresh @ name @ late_residual @ A2 @ ( late_BoundR @ X32 @ X1 @ X22 ) )
% 0.20/0.47 = ( ( fresh @ name @ late_subject @ A2 @ X32 )
% 0.20/0.47 & ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % residual.fresh(1)
% 0.20/0.47 thf(fact_124_Tau,axiom,
% 0.20/0.47 ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) ).
% 0.20/0.47
% 0.20/0.47 % Tau
% 0.20/0.47 thf(fact_125_tauCases_H,axiom,
% 0.20/0.47 ! [P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( tau @ P ) @ Rs )
% 0.20/0.47 => ~ ! [P5: pi] :
% 0.20/0.47 ( ( ( tau @ P )
% 0.20/0.47 = ( tau @ P5 ) )
% 0.20/0.47 => ( Rs
% 0.20/0.47 != ( late_FreeR @ late_TauR @ P5 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % tauCases'
% 0.20/0.47 thf(fact_126_Late__Semantics_OfreeRes_Oinject,axiom,
% 0.20/0.47 ! [X22: name,X1: name,Y2: name,Y1: name] :
% 0.20/0.47 ( ( ( late_OutputR @ X22 @ X1 )
% 0.20/0.47 = ( late_OutputR @ Y2 @ Y1 ) )
% 0.20/0.47 = ( ( X22 = Y2 )
% 0.20/0.47 & ( X1 = Y1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.freeRes.inject
% 0.20/0.47 thf(fact_127_Late__Semantics_Osubject_Oinject_I2_J,axiom,
% 0.20/0.47 ! [X1: name,Y1: name] :
% 0.20/0.47 ( ( ( late_BoundOutputS @ X1 )
% 0.20/0.47 = ( late_BoundOutputS @ Y1 ) )
% 0.20/0.47 = ( X1 = Y1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.subject.inject(2)
% 0.20/0.47 thf(fact_128_subject_Ofresh_I2_J,axiom,
% 0.20/0.47 ! [A2: name,X1: name] :
% 0.20/0.47 ( ( fresh @ name @ late_subject @ A2 @ ( late_BoundOutputS @ X1 ) )
% 0.20/0.47 = ( fresh @ name @ name @ A2 @ X1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.fresh(2)
% 0.20/0.47 thf(fact_129_freeRes_Ofresh_I1_J,axiom,
% 0.20/0.47 ! [A2: name,X22: name,X1: name] :
% 0.20/0.47 ( ( fresh @ name @ late_freeRes @ A2 @ ( late_OutputR @ X22 @ X1 ) )
% 0.20/0.47 = ( ( fresh @ name @ name @ A2 @ X22 )
% 0.20/0.47 & ( fresh @ name @ name @ A2 @ X1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.fresh(1)
% 0.20/0.47 thf(fact_130_freeRes_Ofresh_I2_J,axiom,
% 0.20/0.47 ! [A2: name] : ( fresh @ name @ late_freeRes @ A2 @ late_TauR ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.fresh(2)
% 0.20/0.47 thf(fact_131_pi_Ofresh_I9_J,axiom,
% 0.20/0.47 ! [A2: name,X1: name,X22: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( res @ X1 @ X22 ) )
% 0.20/0.47 = ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(9)
% 0.20/0.47 thf(fact_132_pi_Ofresh_I4_J,axiom,
% 0.20/0.47 ! [A2: name,X32: name,X1: name,X22: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( input @ X32 @ X1 @ X22 ) )
% 0.20/0.47 = ( ( fresh @ name @ name @ A2 @ X32 )
% 0.20/0.47 & ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(4)
% 0.20/0.47 thf(fact_133_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name] :
% 0.20/0.47 ( ( late_OutputR @ Name12 @ Name22 )
% 0.20/0.47 != late_TauR ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.freeRes.distinct(1)
% 0.20/0.47 thf(fact_134_abs__fun__eq1,axiom,
% 0.20/0.47 ! [X: $tType,A: $tType,A2: X,X2: A,Y: A] :
% 0.20/0.47 ( ( ( abs_fun @ X @ A @ A2 @ X2 )
% 0.20/0.47 = ( abs_fun @ X @ A @ A2 @ Y ) )
% 0.20/0.47 = ( X2 = Y ) ) ).
% 0.20/0.47
% 0.20/0.47 % abs_fun_eq1
% 0.20/0.47 thf(fact_135_freeRes_Oinducts,axiom,
% 0.20/0.47 ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
% 0.20/0.47 ( ! [Name13: name,Name23: name] : ( P @ ( late_OutputR @ Name13 @ Name23 ) )
% 0.20/0.47 => ( ( P @ late_TauR )
% 0.20/0.47 => ( P @ FreeRes3 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.inducts
% 0.20/0.47 thf(fact_136_freeRes_Ostrong__induct_H,axiom,
% 0.20/0.47 ! [N: $tType,P: N > late_freeRes > $o,Z: N,FreeRes3: late_freeRes] :
% 0.20/0.47 ( ! [Name13: name,Name23: name,Z2: N] : ( P @ Z2 @ ( late_OutputR @ Name13 @ Name23 ) )
% 0.20/0.47 => ( ! [Z2: N] : ( P @ Z2 @ late_TauR )
% 0.20/0.47 => ( P @ Z @ FreeRes3 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.strong_induct'
% 0.20/0.47 thf(fact_137_freeRes_Ostrong__inducts,axiom,
% 0.20/0.47 ! [A: $tType,P: A > late_freeRes > $o,Z: A,FreeRes3: late_freeRes] :
% 0.20/0.47 ( ! [Name13: name,Name23: name,Z2: A] : ( P @ Z2 @ ( late_OutputR @ Name13 @ Name23 ) )
% 0.20/0.47 => ( ! [Z2: A] : ( P @ Z2 @ late_TauR )
% 0.20/0.47 => ( P @ Z @ FreeRes3 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.strong_inducts
% 0.20/0.47 thf(fact_138_pi_Oinject_I8_J,axiom,
% 0.20/0.47 ! [X1: name,X22: pi,Y1: name,Y2: pi] :
% 0.20/0.47 ( ( ( res @ X1 @ X22 )
% 0.20/0.47 = ( res @ Y1 @ Y2 ) )
% 0.20/0.47 = ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 0.20/0.47 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(8)
% 0.20/0.47 thf(fact_139_residual_Oinject_I1_J,axiom,
% 0.20/0.47 ! [X32: late_subject,X1: name,X22: pi,Y32: late_subject,Y1: name,Y2: pi] :
% 0.20/0.47 ( ( ( late_BoundR @ X32 @ X1 @ X22 )
% 0.20/0.47 = ( late_BoundR @ Y32 @ Y1 @ Y2 ) )
% 0.20/0.47 = ( ( X32 = Y32 )
% 0.20/0.47 & ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 0.20/0.47 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % residual.inject(1)
% 0.20/0.47 thf(fact_140_name__fresh__abs,axiom,
% 0.20/0.47 ! [A: $tType] :
% 0.20/0.47 ( ( fs_name @ A )
% 0.20/0.47 => ! [B2: name,A2: name,X2: A] :
% 0.20/0.47 ( ( fresh @ name @ ( name > ( noption @ A ) ) @ B2 @ ( abs_fun @ name @ A @ A2 @ X2 ) )
% 0.20/0.47 = ( ( B2 = A2 )
% 0.20/0.47 | ( fresh @ name @ A @ B2 @ X2 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % name_fresh_abs
% 0.20/0.47 thf(fact_141_abs__fresh_I1_J,axiom,
% 0.20/0.47 ! [X5: $tType] :
% 0.20/0.47 ( ( fs_name @ X5 )
% 0.20/0.47 => ! [B2: name,A2: name,X2: X5] :
% 0.20/0.47 ( ( fresh @ name @ ( name > ( noption @ X5 ) ) @ B2 @ ( abs_fun @ name @ X5 @ A2 @ X2 ) )
% 0.20/0.47 = ( ( B2 = A2 )
% 0.20/0.47 | ( fresh @ name @ X5 @ B2 @ X2 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % abs_fresh(1)
% 0.20/0.47 thf(fact_142_pi_Oinject_I3_J,axiom,
% 0.20/0.47 ! [X32: name,X1: name,X22: pi,Y32: name,Y1: name,Y2: pi] :
% 0.20/0.47 ( ( ( input @ X32 @ X1 @ X22 )
% 0.20/0.47 = ( input @ Y32 @ Y1 @ Y2 ) )
% 0.20/0.47 = ( ( X32 = Y32 )
% 0.20/0.47 & ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 0.20/0.47 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(3)
% 0.20/0.47 thf(fact_143_Open,axiom,
% 0.20/0.47 ! [P: pi,A2: name,B2: name,P3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 0.20/0.47 => ( ( A2 != B2 )
% 0.20/0.47 => ( late_transitions @ ( res @ B2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ B2 @ P3 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Open
% 0.20/0.47 thf(fact_144_resCases_H,axiom,
% 0.20/0.47 ! [X2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( res @ X2 @ P ) @ Rs )
% 0.20/0.47 => ( ! [P5: pi,A4: name,B4: name] :
% 0.20/0.47 ( ( ( res @ X2 @ P )
% 0.20/0.47 = ( res @ B4 @ P5 ) )
% 0.20/0.47 => ! [P4: pi] :
% 0.20/0.47 ( ( Rs
% 0.20/0.47 = ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ B4 @ P4 ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P4 ) )
% 0.20/0.47 => ( A4 = B4 ) ) ) )
% 0.20/0.47 => ( ! [P5: pi,A4: late_subject,X3: name,P4: pi,Y3: name] :
% 0.20/0.47 ( ( ( res @ X2 @ P )
% 0.20/0.47 = ( res @ Y3 @ P5 ) )
% 0.20/0.47 => ( ( Rs
% 0.20/0.47 = ( late_BoundR @ A4 @ X3 @ ( res @ Y3 @ P4 ) ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 0.20/0.47 => ( ( fresh @ name @ late_subject @ Y3 @ A4 )
% 0.20/0.47 => ( ( Y3 != X3 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 0.20/0.47 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) )
% 0.20/0.47 => ~ ! [P5: pi,Alpha: late_freeRes,P4: pi,Y3: name] :
% 0.20/0.47 ( ( ( res @ X2 @ P )
% 0.20/0.47 = ( res @ Y3 @ P5 ) )
% 0.20/0.47 => ( ( Rs
% 0.20/0.47 = ( late_FreeR @ Alpha @ ( res @ Y3 @ P4 ) ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha @ P4 ) )
% 0.20/0.47 => ~ ( fresh @ name @ late_freeRes @ Y3 @ Alpha ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % resCases'
% 0.20/0.47 thf(fact_145_resCasesB_H,axiom,
% 0.20/0.47 ! [X6: name,P: pi,A2: late_subject,Y4: name,P3: pi] :
% 0.20/0.47 ( ( late_transitions @ ( res @ X6 @ P ) @ ( late_BoundR @ A2 @ Y4 @ P3 ) )
% 0.20/0.47 => ( ! [P5: pi,A4: name,B4: name] :
% 0.20/0.47 ( ( ( res @ X6 @ P )
% 0.20/0.47 = ( res @ B4 @ P5 ) )
% 0.20/0.47 => ! [P4: pi] :
% 0.20/0.47 ( ( ( late_BoundR @ A2 @ Y4 @ P3 )
% 0.20/0.47 = ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ B4 @ P4 ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P4 ) )
% 0.20/0.47 => ( A4 = B4 ) ) ) )
% 0.20/0.47 => ~ ! [P5: pi,A4: late_subject,X3: name,P4: pi,Y3: name] :
% 0.20/0.47 ( ( ( res @ X6 @ P )
% 0.20/0.47 = ( res @ Y3 @ P5 ) )
% 0.20/0.47 => ( ( ( late_BoundR @ A2 @ Y4 @ P3 )
% 0.20/0.47 = ( late_BoundR @ A4 @ X3 @ ( res @ Y3 @ P4 ) ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 0.20/0.47 => ( ( fresh @ name @ late_subject @ Y3 @ A4 )
% 0.20/0.47 => ( ( Y3 != X3 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 0.20/0.47 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % resCasesB'
% 0.20/0.47 thf(fact_146_tauOutputTrans,axiom,
% 0.20/0.47 ! [P: pi,A2: name,B2: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % tauOutputTrans
% 0.20/0.47 thf(fact_147_inputBoundOutputTrans,axiom,
% 0.20/0.47 ! [A2: name,X2: name,P: pi,B2: name,Y: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Y @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % inputBoundOutputTrans
% 0.20/0.47 thf(fact_148_tauCases,axiom,
% 0.20/0.47 ! [P: pi,Alpha2: late_freeRes,P3: pi,Prop: late_freeRes > pi > $o] :
% 0.20/0.47 ( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.47 => ( ( ( Alpha2 = late_TauR )
% 0.20/0.47 => ( ( P = P3 )
% 0.20/0.47 => ( Prop @ late_TauR @ P ) ) )
% 0.20/0.47 => ( Prop @ Alpha2 @ P3 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % tauCases
% 0.20/0.47 thf(fact_149_transitions_OClose2,axiom,
% 0.20/0.47 ! [P: pi,A2: name,Y: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ Q )
% 0.20/0.47 => ( ( X2 != A2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P3 )
% 0.20/0.47 => ( ( Y != A2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ Q3 )
% 0.20/0.47 => ( ( X2 != Y )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q3 @ X2 @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % transitions.Close2
% 0.20/0.47 thf(fact_150_transitions_OClose1,axiom,
% 0.20/0.47 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,Y: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ Q )
% 0.20/0.47 => ( ( X2 != A2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q3 )
% 0.20/0.47 => ( ( Y != A2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ P3 )
% 0.20/0.47 => ( ( X2 != Y )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X2 @ Y ) @ Q3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % transitions.Close1
% 0.20/0.47 thf(fact_151_Late__Semantics_OClose2,axiom,
% 0.20/0.47 ! [P: pi,A2: name,Y: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ Q )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q3 @ X2 @ Y ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.Close2
% 0.20/0.47 thf(fact_152_Late__Semantics_OClose1,axiom,
% 0.20/0.47 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,Y: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ Y @ P )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X2 @ Y ) @ Q3 ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.Close1
% 0.20/0.47 thf(fact_153_name__fresh,axiom,
% 0.20/0.47 ( ( fresh @ name @ name )
% 0.20/0.47 = ( ^ [A6: name,B5: name] : ( A6 != B5 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % name_fresh
% 0.20/0.47 thf(fact_154_subject_Ofresh_I1_J,axiom,
% 0.20/0.47 ! [A2: name,X1: name] :
% 0.20/0.47 ( ( fresh @ name @ late_subject @ A2 @ ( late_InputS @ X1 ) )
% 0.20/0.47 = ( fresh @ name @ name @ A2 @ X1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.fresh(1)
% 0.20/0.47 thf(fact_155_subject_Ostrong__inducts,axiom,
% 0.20/0.47 ! [A: $tType,P: A > late_subject > $o,Z: A,Subject: late_subject] :
% 0.20/0.47 ( ! [Name4: name,Z2: A] : ( P @ Z2 @ ( late_InputS @ Name4 ) )
% 0.20/0.47 => ( ! [Name4: name,Z2: A] : ( P @ Z2 @ ( late_BoundOutputS @ Name4 ) )
% 0.20/0.47 => ( P @ Z @ Subject ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.strong_inducts
% 0.20/0.47 thf(fact_156_subject_Ostrong__induct_H,axiom,
% 0.20/0.47 ! [N: $tType,P: N > late_subject > $o,Z: N,Subject: late_subject] :
% 0.20/0.47 ( ! [Name4: name,Z2: N] : ( P @ Z2 @ ( late_InputS @ Name4 ) )
% 0.20/0.47 => ( ! [Name4: name,Z2: N] : ( P @ Z2 @ ( late_BoundOutputS @ Name4 ) )
% 0.20/0.47 => ( P @ Z @ Subject ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.strong_induct'
% 0.20/0.47 thf(fact_157_subject_Oinducts,axiom,
% 0.20/0.47 ! [P: late_subject > $o,Subject: late_subject] :
% 0.20/0.47 ( ! [Name4: name] : ( P @ ( late_InputS @ Name4 ) )
% 0.20/0.47 => ( ! [Name4: name] : ( P @ ( late_BoundOutputS @ Name4 ) )
% 0.20/0.47 => ( P @ Subject ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.inducts
% 0.20/0.47 thf(fact_158_Late__Semantics_Osubject_Odistinct_I1_J,axiom,
% 0.20/0.47 ! [Name3: name,Name: name] :
% 0.20/0.47 ( ( late_InputS @ Name3 )
% 0.20/0.47 != ( late_BoundOutputS @ Name ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.subject.distinct(1)
% 0.20/0.47 thf(fact_159_Late__Semantics_OInput,axiom,
% 0.20/0.47 ! [A2: name,X2: name,P: pi] : ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.Input
% 0.20/0.47 thf(fact_160_transitions_OInput,axiom,
% 0.20/0.47 ! [X2: name,A2: name,P: pi] :
% 0.20/0.47 ( ( X2 != A2 )
% 0.20/0.47 => ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % transitions.Input
% 0.20/0.47 thf(fact_161_inputCases_H,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( input @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ~ ! [X3: name,A4: name,P5: pi] :
% 0.20/0.47 ( ( ( A2 = A4 )
% 0.20/0.47 & ( ( abs_fun @ name @ pi @ B2 @ P )
% 0.20/0.47 = ( abs_fun @ name @ pi @ X3 @ P5 ) ) )
% 0.20/0.47 => ( ( Rs
% 0.20/0.47 = ( late_BoundR @ ( late_InputS @ A4 ) @ X3 @ P5 ) )
% 0.20/0.47 => ( X3 = A4 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % inputCases'
% 0.20/0.47 thf(fact_162_Late__Semantics_OComm1,axiom,
% 0.20/0.47 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,B2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ Q3 ) )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X2 @ B2 ) @ Q3 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.Comm1
% 0.20/0.47 thf(fact_163_Late__Semantics_OComm2,axiom,
% 0.20/0.47 ! [P: pi,A2: name,B2: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q3 @ X2 @ B2 ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics.Comm2
% 0.20/0.47 thf(fact_164_transitions_OComm2,axiom,
% 0.20/0.47 ! [P: pi,A2: name,B2: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.47 => ( ( X2 != A2 )
% 0.20/0.47 => ( ( X2 != B2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P3 )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q3 @ X2 @ B2 ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % transitions.Comm2
% 0.20/0.47 thf(fact_165_transitions_OComm1,axiom,
% 0.20/0.47 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,B2: name,Q3: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 0.20/0.47 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ Q3 ) )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ P )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q )
% 0.20/0.47 => ( ( X2 != A2 )
% 0.20/0.47 => ( ( X2 != B2 )
% 0.20/0.47 => ( ( fresh @ name @ pi @ X2 @ Q3 )
% 0.20/0.47 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X2 @ B2 ) @ Q3 ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % transitions.Comm1
% 0.20/0.47 thf(fact_166_Late__Semantics1_Osubject_Oinject_I1_J,axiom,
% 0.20/0.47 ! [X1: name,Y1: name] :
% 0.20/0.47 ( ( ( late_InputS @ X1 )
% 0.20/0.47 = ( late_InputS @ Y1 ) )
% 0.20/0.47 = ( X1 = Y1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics1.subject.inject(1)
% 0.20/0.47 thf(fact_167_Late__Semantics1_Osubject_Oinject_I2_J,axiom,
% 0.20/0.47 ! [X22: name,Y2: name] :
% 0.20/0.47 ( ( ( late_BoundOutputS @ X22 )
% 0.20/0.47 = ( late_BoundOutputS @ Y2 ) )
% 0.20/0.47 = ( X22 = Y2 ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics1.subject.inject(2)
% 0.20/0.47 thf(fact_168_Late__Semantics1_OfreeRes_Oinject,axiom,
% 0.20/0.47 ! [X11: name,X12: name,Y11: name,Y12: name] :
% 0.20/0.47 ( ( ( late_OutputR @ X11 @ X12 )
% 0.20/0.47 = ( late_OutputR @ Y11 @ Y12 ) )
% 0.20/0.47 = ( ( X11 = Y11 )
% 0.20/0.47 & ( X12 = Y12 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics1.freeRes.inject
% 0.20/0.47 thf(fact_169_freeRes_Oexhaust,axiom,
% 0.20/0.47 ! [Y: late_freeRes] :
% 0.20/0.47 ( ! [X112: name,X122: name] :
% 0.20/0.47 ( Y
% 0.20/0.47 != ( late_OutputR @ X112 @ X122 ) )
% 0.20/0.47 => ( Y = late_TauR ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.exhaust
% 0.20/0.47 thf(fact_170_Late__Semantics1_OfreeRes_Odistinct_I1_J,axiom,
% 0.20/0.47 ! [X11: name,X12: name] :
% 0.20/0.47 ( ( late_OutputR @ X11 @ X12 )
% 0.20/0.47 != late_TauR ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics1.freeRes.distinct(1)
% 0.20/0.47 thf(fact_171_Late__Semantics1_Osubject_Odistinct_I1_J,axiom,
% 0.20/0.47 ! [X1: name,X22: name] :
% 0.20/0.47 ( ( late_InputS @ X1 )
% 0.20/0.47 != ( late_BoundOutputS @ X22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % Late_Semantics1.subject.distinct(1)
% 0.20/0.47 thf(fact_172_subject_Oexhaust,axiom,
% 0.20/0.47 ! [Y: late_subject] :
% 0.20/0.47 ( ! [X13: name] :
% 0.20/0.47 ( Y
% 0.20/0.47 != ( late_InputS @ X13 ) )
% 0.20/0.47 => ~ ! [X23: name] :
% 0.20/0.47 ( Y
% 0.20/0.47 != ( late_BoundOutputS @ X23 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.exhaust
% 0.20/0.47 thf(fact_173_freeRes_Orecs_I2_J,axiom,
% 0.20/0.47 ! [T: $tType,P: T > $o,F1: name > name > T,F22: T] :
% 0.20/0.47 ( ! [X13: name,X23: name] : ( P @ ( F1 @ X13 @ X23 ) )
% 0.20/0.47 => ( ( P @ F22 )
% 0.20/0.47 => ( ( late_freeRes_rec @ T @ F1 @ F22 @ late_TauR )
% 0.20/0.47 = F22 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.recs(2)
% 0.20/0.47 thf(fact_174_subject_Orecs_I2_J,axiom,
% 0.20/0.47 ! [T: $tType,P: T > $o,F1: name > T,F22: name > T,Name3: name] :
% 0.20/0.47 ( ! [X13: name] : ( P @ ( F1 @ X13 ) )
% 0.20/0.47 => ( ! [X13: name] : ( P @ ( F22 @ X13 ) )
% 0.20/0.47 => ( ( late_subject_rec @ T @ F1 @ F22 @ ( late_BoundOutputS @ Name3 ) )
% 0.20/0.47 = ( F22 @ Name3 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.recs(2)
% 0.20/0.47 thf(fact_175_subject_Orecs_I1_J,axiom,
% 0.20/0.47 ! [T: $tType,P: T > $o,F1: name > T,F22: name > T,Name3: name] :
% 0.20/0.47 ( ! [X13: name] : ( P @ ( F1 @ X13 ) )
% 0.20/0.47 => ( ! [X13: name] : ( P @ ( F22 @ X13 ) )
% 0.20/0.47 => ( ( late_subject_rec @ T @ F1 @ F22 @ ( late_InputS @ Name3 ) )
% 0.20/0.47 = ( F1 @ Name3 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subject.recs(1)
% 0.20/0.47 thf(fact_176_freeRes_Orecs_I1_J,axiom,
% 0.20/0.47 ! [T: $tType,P: T > $o,F1: name > name > T,F22: T,Name12: name,Name22: name] :
% 0.20/0.47 ( ! [X13: name,X23: name] : ( P @ ( F1 @ X13 @ X23 ) )
% 0.20/0.47 => ( ( P @ F22 )
% 0.20/0.47 => ( ( late_freeRes_rec @ T @ F1 @ F22 @ ( late_OutputR @ Name12 @ Name22 ) )
% 0.20/0.47 = ( F1 @ Name12 @ Name22 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % freeRes.recs(1)
% 0.20/0.47 thf(fact_177_resOutputTauTrans,axiom,
% 0.20/0.47 ! [X2: name,A2: name,B2: name,P: pi,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ B2 @ P ) ) @ ( late_FreeR @ late_TauR @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % resOutputTauTrans
% 0.20/0.47 thf(fact_178_resOutputInputTrans,axiom,
% 0.20/0.47 ! [X2: name,A2: name,B2: name,P: pi,C2: name,Y: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ B2 @ P ) ) @ ( late_BoundR @ ( late_InputS @ C2 ) @ Y @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % resOutputInputTrans
% 0.20/0.47 thf(fact_179_resOutputOutputTrans,axiom,
% 0.20/0.47 ! [X2: name,A2: name,P: pi,B2: name,Y: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ X2 @ P ) ) @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % resOutputOutputTrans
% 0.20/0.47 thf(fact_180_pi_Ofresh_I2_J,axiom,
% 0.20/0.47 ! [A2: name,X32: name,X22: name,X1: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( output @ X32 @ X22 @ X1 ) )
% 0.20/0.47 = ( ( fresh @ name @ name @ A2 @ X32 )
% 0.20/0.47 & ( fresh @ name @ name @ A2 @ X22 )
% 0.20/0.47 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(2)
% 0.20/0.47 thf(fact_181_pi_Odistinct_I31_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( res @ Name @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(31)
% 0.20/0.47 thf(fact_182_pi_Odistinct_I29_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(29)
% 0.20/0.47 thf(fact_183_pi_Odistinct_I21_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(21)
% 0.20/0.47 thf(fact_184_pi_Odistinct_I1_J,axiom,
% 0.20/0.47 ! [Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( piNil
% 0.20/0.47 != ( output @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(1)
% 0.20/0.47 thf(fact_185_pi_Odistinct_I19_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( tau @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(19)
% 0.20/0.47 thf(fact_186_pi_Oinject_I1_J,axiom,
% 0.20/0.47 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.20/0.47 ( ( ( output @ X32 @ X22 @ X1 )
% 0.20/0.47 = ( output @ Y32 @ Y2 @ Y1 ) )
% 0.20/0.47 = ( ( X32 = Y32 )
% 0.20/0.47 & ( X22 = Y2 )
% 0.20/0.47 & ( X1 = Y1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(1)
% 0.20/0.47 thf(fact_187_resTrans_I1_J,axiom,
% 0.20/0.47 ! [X2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ~ ( late_transitions @ ( res @ X2 @ ( output @ X2 @ B2 @ P ) ) @ Rs ) ).
% 0.20/0.47
% 0.20/0.47 % resTrans(1)
% 0.20/0.47 thf(fact_188_outputBoundTrans,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,C2: late_subject,X2: name,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_BoundR @ C2 @ X2 @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputBoundTrans
% 0.20/0.47 thf(fact_189_nilSim_I3_J,axiom,
% 0.20/0.47 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,B2: name,P: pi] :
% 0.20/0.47 ~ ( strong743114133lation @ piNil @ Rel @ ( output @ A2 @ B2 @ P ) ) ).
% 0.20/0.47
% 0.20/0.47 % nilSim(3)
% 0.20/0.47 thf(fact_190_outputCases,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Alpha2: late_freeRes,P3: pi,Prop: late_freeRes > pi > $o] :
% 0.20/0.47 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.47 => ( ( ( Alpha2
% 0.20/0.47 = ( late_OutputR @ A2 @ B2 ) )
% 0.20/0.47 => ( ( P = P3 )
% 0.20/0.47 => ( Prop @ ( late_OutputR @ A2 @ B2 ) @ P ) ) )
% 0.20/0.47 => ( Prop @ Alpha2 @ P3 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputCases
% 0.20/0.47 thf(fact_191_outputCases_H,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ~ ! [A4: name,B4: name,P5: pi] :
% 0.20/0.47 ( ( ( A2 = A4 )
% 0.20/0.47 & ( B2 = B4 )
% 0.20/0.47 & ( P = P5 ) )
% 0.20/0.47 => ( Rs
% 0.20/0.47 != ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P5 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputCases'
% 0.20/0.47 thf(fact_192_outputIneqTrans,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,C2: name,D: name,P3: pi] :
% 0.20/0.47 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ C2 @ D ) @ P3 ) )
% 0.20/0.47 => ~ ( ( A2 != C2 )
% 0.20/0.47 | ( B2 != D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputIneqTrans
% 0.20/0.47 thf(fact_193_Output,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi] : ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P ) ) ).
% 0.20/0.47
% 0.20/0.47 % Output
% 0.20/0.47 thf(fact_194_outputTauTrans,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,P3: pi] :
% 0.20/0.47 ~ ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ late_TauR @ P3 ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputTauTrans
% 0.20/0.47 thf(fact_195_outputFreshTrans,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 0.20/0.47 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 0.20/0.47 => ~ ( ( fresh @ name @ late_freeRes @ A2 @ Alpha2 )
% 0.20/0.47 | ( fresh @ name @ late_freeRes @ B2 @ Alpha2 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % outputFreshTrans
% 0.20/0.47 thf(fact_196_simps_I3_J,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 0.20/0.47 ( ( subs @ ( output @ A2 @ B2 @ P ) @ C2 @ D )
% 0.20/0.47 = ( output @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(3)
% 0.20/0.47 thf(fact_197_simps_I4_J,axiom,
% 0.20/0.47 ! [X2: name,A2: name,C2: name,D: name,P: pi] :
% 0.20/0.47 ( ( X2 != A2 )
% 0.20/0.47 => ( ( X2 != C2 )
% 0.20/0.47 => ( ( X2 != D )
% 0.20/0.47 => ( ( subs @ ( input @ A2 @ X2 @ P ) @ C2 @ D )
% 0.20/0.47 = ( input @ ( subst_name @ A2 @ C2 @ D ) @ X2 @ ( subs @ P @ C2 @ D ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(4)
% 0.20/0.47 thf(fact_198_substInput,axiom,
% 0.20/0.47 ! [X2: name,B2: name,C2: name,A2: name,P: pi] :
% 0.20/0.47 ( ( X2 != B2 )
% 0.20/0.47 => ( ( X2 != C2 )
% 0.20/0.47 => ( ( subs @ ( input @ A2 @ X2 @ P ) @ B2 @ C2 )
% 0.20/0.47 = ( input @ ( subst_name @ A2 @ B2 @ C2 ) @ X2 @ ( subs @ P @ B2 @ C2 ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % substInput
% 0.20/0.47 thf(fact_199_subst__name__def,axiom,
% 0.20/0.47 ( subst_name
% 0.20/0.47 = ( ^ [A6: name,B5: name,C5: name] : ( if @ name @ ( A6 = B5 ) @ C5 @ A6 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % subst_name_def
% 0.20/0.47 thf(fact_200_simps_I6_J,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 0.20/0.47 ( ( subs @ ( mismatch @ A2 @ B2 @ P ) @ C2 @ D )
% 0.20/0.47 = ( mismatch @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(6)
% 0.20/0.47 thf(fact_201_simps_I5_J,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 0.20/0.47 ( ( subs @ ( match @ A2 @ B2 @ P ) @ C2 @ D )
% 0.20/0.47 = ( match @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(5)
% 0.20/0.47 thf(fact_202_pi_Ofresh_I5_J,axiom,
% 0.20/0.47 ! [A2: name,X32: name,X22: name,X1: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( match @ X32 @ X22 @ X1 ) )
% 0.20/0.47 = ( ( fresh @ name @ name @ A2 @ X32 )
% 0.20/0.47 & ( fresh @ name @ name @ A2 @ X22 )
% 0.20/0.47 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(5)
% 0.20/0.47 thf(fact_203_pi_Ofresh_I6_J,axiom,
% 0.20/0.47 ! [A2: name,X32: name,X22: name,X1: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( mismatch @ X32 @ X22 @ X1 ) )
% 0.20/0.47 = ( ( fresh @ name @ name @ A2 @ X32 )
% 0.20/0.47 & ( fresh @ name @ name @ A2 @ X22 )
% 0.20/0.47 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(6)
% 0.20/0.47 thf(fact_204_matchCases,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual,F3: name > name > $o] :
% 0.20/0.47 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ( ( ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( ( A2 = B2 )
% 0.20/0.47 => ( F3 @ A2 @ A2 ) ) )
% 0.20/0.47 => ( F3 @ A2 @ B2 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % matchCases
% 0.20/0.47 thf(fact_205_matchTrans,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ( A2 = B2 ) ) ).
% 0.20/0.47
% 0.20/0.47 % matchTrans
% 0.20/0.47 thf(fact_206_matchCases_H,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ~ ! [P5: pi] :
% 0.20/0.47 ( ( ( B2 = A2 )
% 0.20/0.47 & ( P = P5 ) )
% 0.20/0.47 => ~ ( late_transitions @ P5 @ Rs ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % matchCases'
% 0.20/0.47 thf(fact_207_mismatchCases,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual,F3: name > name > $o] :
% 0.20/0.47 ( ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ( ( ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( ( A2 != B2 )
% 0.20/0.47 => ( F3 @ A2 @ B2 ) ) )
% 0.20/0.47 => ( F3 @ A2 @ B2 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % mismatchCases
% 0.20/0.47 thf(fact_208_mismatchTrans,axiom,
% 0.20/0.47 ! [A2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ~ ( late_transitions @ ( mismatch @ A2 @ A2 @ P ) @ Rs ) ).
% 0.20/0.47
% 0.20/0.47 % mismatchTrans
% 0.20/0.47 thf(fact_209_mismatchCases_H,axiom,
% 0.20/0.47 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs )
% 0.20/0.47 => ~ ! [P5: pi,A4: name,B4: name] :
% 0.20/0.47 ( ( ( A2 = A4 )
% 0.20/0.47 & ( B2 = B4 )
% 0.20/0.47 & ( P = P5 ) )
% 0.20/0.47 => ( ( late_transitions @ P5 @ Rs )
% 0.20/0.47 => ( A4 = B4 ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % mismatchCases'
% 0.20/0.47 thf(fact_210_Match,axiom,
% 0.20/0.47 ! [P: pi,Rs: late_residual,B2: name] :
% 0.20/0.47 ( ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( late_transitions @ ( match @ B2 @ B2 @ P ) @ Rs ) ) ).
% 0.20/0.47
% 0.20/0.47 % Match
% 0.20/0.47 thf(fact_211_Mismatch,axiom,
% 0.20/0.47 ! [P: pi,Rs: late_residual,A2: name,B2: name] :
% 0.20/0.47 ( ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( ( A2 != B2 )
% 0.20/0.47 => ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % Mismatch
% 0.20/0.47 thf(fact_212_pi_Odistinct_I67_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 0.20/0.47 ( ( match @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( res @ Name @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(67)
% 0.20/0.47 thf(fact_213_pi_Odistinct_I75_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 0.20/0.47 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( res @ Name @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(75)
% 0.20/0.47 thf(fact_214_pi_Odistinct_I65_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( match @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(65)
% 0.20/0.47 thf(fact_215_pi_Odistinct_I73_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(73)
% 0.20/0.47 thf(fact_216_pi_Odistinct_I49_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( input @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(49)
% 0.20/0.47 thf(fact_217_pi_Odistinct_I51_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( input @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(51)
% 0.20/0.47 thf(fact_218_pi_Odistinct_I7_J,axiom,
% 0.20/0.47 ! [Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( piNil
% 0.20/0.47 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(7)
% 0.20/0.47 thf(fact_219_pi_Odistinct_I9_J,axiom,
% 0.20/0.47 ! [Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( piNil
% 0.20/0.47 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(9)
% 0.20/0.47 thf(fact_220_pi_Odistinct_I37_J,axiom,
% 0.20/0.47 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( tau @ Pi3 )
% 0.20/0.47 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(37)
% 0.20/0.47 thf(fact_221_pi_Odistinct_I39_J,axiom,
% 0.20/0.47 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( tau @ Pi3 )
% 0.20/0.47 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(39)
% 0.20/0.47 thf(fact_222_pi_Oinject_I5_J,axiom,
% 0.20/0.47 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.20/0.47 ( ( ( mismatch @ X32 @ X22 @ X1 )
% 0.20/0.47 = ( mismatch @ Y32 @ Y2 @ Y1 ) )
% 0.20/0.47 = ( ( X32 = Y32 )
% 0.20/0.47 & ( X22 = Y2 )
% 0.20/0.47 & ( X1 = Y1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(5)
% 0.20/0.47 thf(fact_223_pi_Oinject_I4_J,axiom,
% 0.20/0.47 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 0.20/0.47 ( ( ( match @ X32 @ X22 @ X1 )
% 0.20/0.47 = ( match @ Y32 @ Y2 @ Y1 ) )
% 0.20/0.47 = ( ( X32 = Y32 )
% 0.20/0.47 & ( X22 = Y2 )
% 0.20/0.47 & ( X1 = Y1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(4)
% 0.20/0.47 thf(fact_224_pi_Odistinct_I61_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( match @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(61)
% 0.20/0.47 thf(fact_225_pi_Odistinct_I23_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(23)
% 0.20/0.47 thf(fact_226_pi_Odistinct_I25_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(25)
% 0.20/0.47 thf(fact_227_matchNilLeft,axiom,
% 0.20/0.47 ! [A2: name,B2: name,Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 0.20/0.47 ( ( A2 != B2 )
% 0.20/0.47 => ( strong743114133lation @ piNil @ Rel @ ( match @ A2 @ B2 @ P ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % matchNilLeft
% 0.20/0.47 thf(fact_228_mismatchNilLeft,axiom,
% 0.20/0.47 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,P: pi] : ( strong743114133lation @ piNil @ Rel @ ( mismatch @ A2 @ A2 @ P ) ) ).
% 0.20/0.47
% 0.20/0.47 % mismatchNilLeft
% 0.20/0.47 thf(fact_229_pi_Ostrong__induct,axiom,
% 0.20/0.47 ! [N: $tType] :
% 0.20/0.47 ( ( fs_name @ N )
% 0.20/0.47 => ! [P: N > pi > $o,Z: N,Pi3: pi] :
% 0.20/0.47 ( ! [Z2: N] : ( P @ Z2 @ piNil )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( output @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Pi4: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( tau @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ( fresh @ name @ N @ Name23 @ Z2 )
% 0.20/0.47 => ( ( fresh @ name @ name @ Name23 @ Name13 )
% 0.20/0.47 => ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( input @ Name13 @ Name23 @ Pi4 ) ) ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( match @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( mismatch @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi13 )
% 0.20/0.47 => ( ! [Za: N] : ( P @ Za @ Pi23 )
% 0.20/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.20/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi13 )
% 0.20/0.47 => ( ! [Za: N] : ( P @ Za @ Pi23 )
% 0.20/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.20/0.47 => ( ! [Name4: name,Pi4: pi,Z2: N] :
% 0.20/0.47 ( ( fresh @ name @ N @ Name4 @ Z2 )
% 0.20/0.47 => ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( res @ Name4 @ Pi4 ) ) ) )
% 0.20/0.47 => ( ! [Pi4: pi,Z2: N] :
% 0.20/0.47 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( bang @ Pi4 ) ) )
% 0.20/0.47 => ( P @ Z @ Pi3 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.strong_induct
% 0.20/0.47 thf(fact_230_pi_Ostrong__inducts,axiom,
% 0.20/0.47 ! [A: $tType] :
% 0.20/0.47 ( ( fs_name @ A )
% 0.20/0.47 => ! [P: A > pi > $o,Z: A,Pi3: pi] :
% 0.20/0.47 ( ! [Z2: A] : ( P @ Z2 @ piNil )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( output @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Pi4: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( tau @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ( fresh @ name @ A @ Name23 @ Z2 )
% 0.20/0.47 => ( ( fresh @ name @ name @ Name23 @ Name13 )
% 0.20/0.47 => ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( input @ Name13 @ Name23 @ Pi4 ) ) ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( match @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( mismatch @ Name13 @ Name23 @ Pi4 ) ) )
% 0.20/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi13 )
% 0.20/0.47 => ( ! [Za: A] : ( P @ Za @ Pi23 )
% 0.20/0.47 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 0.20/0.47 => ( ! [Pi13: pi,Pi23: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi13 )
% 0.20/0.47 => ( ! [Za: A] : ( P @ Za @ Pi23 )
% 0.20/0.47 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 0.20/0.47 => ( ! [Name4: name,Pi4: pi,Z2: A] :
% 0.20/0.47 ( ( fresh @ name @ A @ Name4 @ Z2 )
% 0.20/0.47 => ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( res @ Name4 @ Pi4 ) ) ) )
% 0.20/0.47 => ( ! [Pi4: pi,Z2: A] :
% 0.20/0.47 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 0.20/0.47 => ( P @ Z2 @ ( bang @ Pi4 ) ) )
% 0.20/0.47 => ( P @ Z @ Pi3 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.strong_inducts
% 0.20/0.47 thf(fact_231_pi_Ofresh_I10_J,axiom,
% 0.20/0.47 ! [A2: name,X1: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( bang @ X1 ) )
% 0.20/0.47 = ( fresh @ name @ pi @ A2 @ X1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(10)
% 0.20/0.47 thf(fact_232_pi_Ofresh_I7_J,axiom,
% 0.20/0.47 ! [A2: name,X22: pi,X1: pi] :
% 0.20/0.47 ( ( fresh @ name @ pi @ A2 @ ( sum @ X22 @ X1 ) )
% 0.20/0.47 = ( ( fresh @ name @ pi @ A2 @ X22 )
% 0.20/0.47 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.fresh(7)
% 0.20/0.47 thf(fact_233_simps_I10_J,axiom,
% 0.20/0.47 ! [P: pi,C2: name,D: name] :
% 0.20/0.47 ( ( subs @ ( bang @ P ) @ C2 @ D )
% 0.20/0.47 = ( bang @ ( subs @ P @ C2 @ D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(10)
% 0.20/0.47 thf(fact_234_simps_I7_J,axiom,
% 0.20/0.47 ! [P: pi,Q: pi,C2: name,D: name] :
% 0.20/0.47 ( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
% 0.20/0.47 = ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % simps(7)
% 0.20/0.47 thf(fact_235_pi_Odistinct_I77_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(77)
% 0.20/0.47 thf(fact_236_pi_Odistinct_I71_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(71)
% 0.20/0.47 thf(fact_237_pi_Odistinct_I69_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( match @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(69)
% 0.20/0.47 thf(fact_238_pi_Odistinct_I63_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( match @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(63)
% 0.20/0.47 thf(fact_239_pi_Odistinct_I33_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(33)
% 0.20/0.47 thf(fact_240_pi_Odistinct_I27_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( output @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(27)
% 0.20/0.47 thf(fact_241_pi_Odistinct_I89_J,axiom,
% 0.20/0.47 ! [Name3: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( res @ Name3 @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(89)
% 0.20/0.47 thf(fact_242_pi_Odistinct_I87_J,axiom,
% 0.20/0.47 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 0.20/0.47 ( ( par @ Pi1 @ Pi2 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(87)
% 0.20/0.47 thf(fact_243_pi_Odistinct_I59_J,axiom,
% 0.20/0.47 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( input @ Name12 @ Name22 @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(59)
% 0.20/0.47 thf(fact_244_pi_Odistinct_I17_J,axiom,
% 0.20/0.47 ! [Pi: pi] :
% 0.20/0.47 ( piNil
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(17)
% 0.20/0.47 thf(fact_245_Sum2,axiom,
% 0.20/0.47 ! [Q: pi,Rs: late_residual,P: pi] :
% 0.20/0.47 ( ( late_transitions @ Q @ Rs )
% 0.20/0.47 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.20/0.47
% 0.20/0.47 % Sum2
% 0.20/0.47 thf(fact_246_Sum1,axiom,
% 0.20/0.47 ! [P: pi,Rs: late_residual,Q: pi] :
% 0.20/0.47 ( ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 0.20/0.47
% 0.20/0.47 % Sum1
% 0.20/0.47 thf(fact_247_sumCases_H,axiom,
% 0.20/0.47 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.20/0.47 => ( ~ ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % sumCases'
% 0.20/0.47 thf(fact_248_sumCases,axiom,
% 0.20/0.47 ! [P: pi,Q: pi,Rs: late_residual] :
% 0.20/0.47 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 0.20/0.47 => ( ~ ( late_transitions @ P @ Rs )
% 0.20/0.47 => ( late_transitions @ Q @ Rs ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % sumCases
% 0.20/0.47 thf(fact_249_pi_Odistinct_I47_J,axiom,
% 0.20/0.47 ! [Pi3: pi,Pi: pi] :
% 0.20/0.47 ( ( tau @ Pi3 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(47)
% 0.20/0.47 thf(fact_250_pi_Odistinct_I81_J,axiom,
% 0.20/0.47 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 0.20/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.20/0.47 != ( res @ Name @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(81)
% 0.20/0.47 thf(fact_251_pi_Odistinct_I79_J,axiom,
% 0.20/0.47 ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.20/0.47 != ( par @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(79)
% 0.20/0.47 thf(fact_252_pi_Odistinct_I83_J,axiom,
% 0.20/0.47 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 0.20/0.47 ( ( sum @ Pi1 @ Pi2 )
% 0.20/0.47 != ( bang @ Pi ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(83)
% 0.20/0.47 thf(fact_253_pi_Oinject_I6_J,axiom,
% 0.20/0.47 ! [X22: pi,X1: pi,Y2: pi,Y1: pi] :
% 0.20/0.47 ( ( ( sum @ X22 @ X1 )
% 0.20/0.47 = ( sum @ Y2 @ Y1 ) )
% 0.20/0.47 = ( ( X22 = Y2 )
% 0.20/0.47 & ( X1 = Y1 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(6)
% 0.20/0.47 thf(fact_254_pi_Oinject_I9_J,axiom,
% 0.20/0.47 ! [X1: pi,Y1: pi] :
% 0.20/0.47 ( ( ( bang @ X1 )
% 0.20/0.47 = ( bang @ Y1 ) )
% 0.20/0.47 = ( X1 = Y1 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.inject(9)
% 0.20/0.47 thf(fact_255_pi_Odistinct_I41_J,axiom,
% 0.20/0.47 ! [Pi3: pi,Pi12: pi,Pi22: pi] :
% 0.20/0.47 ( ( tau @ Pi3 )
% 0.20/0.47 != ( sum @ Pi12 @ Pi22 ) ) ).
% 0.20/0.47
% 0.20/0.47 % pi.distinct(41)
% 0.20/0.47
% 0.20/0.47 % Type constructors (7)
% 0.20/0.47 thf(tcon_Agent_Opi___Agent_Ofs__name,axiom,
% 0.20/0.47 fs_name @ pi ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_HOL_Obool___Agent_Ofs__name_1,axiom,
% 0.20/0.47 fs_name @ $o ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_Agent_Oname___Agent_Ofs__name_2,axiom,
% 0.20/0.47 fs_name @ name ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_Product__Type_Oprod___Agent_Ofs__name_3,axiom,
% 0.20/0.47 ! [A7: $tType,A8: $tType] :
% 0.20/0.47 ( ( ( fs_name @ A7 )
% 0.20/0.47 & ( fs_name @ A8 ) )
% 0.20/0.47 => ( fs_name @ ( product_prod @ A7 @ A8 ) ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_Late__Semantics_OfreeRes___Agent_Ofs__name_4,axiom,
% 0.20/0.47 fs_name @ late_freeRes ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_Late__Semantics_Osubject___Agent_Ofs__name_5,axiom,
% 0.20/0.47 fs_name @ late_subject ).
% 0.20/0.47
% 0.20/0.47 thf(tcon_Late__Semantics_Oresidual___Agent_Ofs__name_6,axiom,
% 0.20/0.47 fs_name @ late_residual ).
% 0.20/0.47
% 0.20/0.47 % Helper facts (3)
% 0.20/0.47 thf(help_If_3_1_T,axiom,
% 0.20/0.47 ! [P: $o] :
% 0.20/0.47 ( ( P = $true )
% 0.20/0.47 | ( P = $false ) ) ).
% 0.20/0.47
% 0.20/0.47 thf(help_If_2_1_T,axiom,
% 0.20/0.47 ! [A: $tType,X2: A,Y: A] :
% 0.20/0.47 ( ( if @ A @ $false @ X2 @ Y )
% 0.20/0.47 = Y ) ).
% 0.20/0.47
% 0.20/0.47 thf(help_If_1_1_T,axiom,
% 0.20/0.47 ! [A: $tType,X2: A,Y: A] :
% 0.20/0.47 ( ( if @ A @ $true @ X2 @ Y )
% 0.20/0.47 = X2 ) ).
% 0.20/0.47
% 0.20/0.47 % Conjectures (1)
% 0.20/0.47 thf(conj_0,conjecture,
% 0.20/0.47 member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ).
% 0.20/0.47
% 0.20/0.47 %------------------------------------------------------------------------------
% 0.20/0.47 ------------------------
% 2.45/1.49 ---- Embedded in THF ---
% 2.45/1.49 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.45/1.49 %%% Generated on Tue Feb 24 08:29:11 EST 2026
% 2.45/1.49 %%% using '$$dhol' embedding, version 1.3.0.
% 2.45/1.49 %%% Logic specification used:
% 2.45/1.49 %%% thf(spec, logic, $$dhol).
% 2.45/1.49
% 2.45/1.49 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2DTF6827.p
% 2.45/1.49 thf(ty_t_Late__Semantics_Oresidual, type, late_residual: $tType).
% 2.45/1.49 thf(ty_t_Late__Semantics_Osubject, type, late_subject: $tType).
% 2.45/1.49 thf(ty_t_Late__Semantics_OfreeRes, type, late_freeRes: $tType).
% 2.45/1.49 thf(ty_t_Product__Type_Oprod, type, product_prod: ($tType > ($tType > $tType))).
% 2.45/1.49 thf(ty_t_Nominal_Onoption, type, noption: ($tType > $tType)).
% 2.45/1.49 thf(ty_t_Agent_Oname, type, name: $tType).
% 2.45/1.49 thf(ty_t_Agent_Opi, type, pi: $tType).
% 2.45/1.49 thf(ty_t_Set_Oset, type, set: ($tType > $tType)).
% 2.45/1.49 thf(sy_cl_Agent_Ofs__name, type, fs_name: (!> [A:$tType]: ($o))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OBang, type, bang: (pi > pi)).
% 2.45/1.49 thf(sy_c_Agent_Opi_OInput, type, input: (name > (name > (pi > pi)))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OMatch, type, match: (name > (name > (pi > pi)))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OMismatch, type, mismatch: (name > (name > (pi > pi)))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OOutput, type, output: (name > (name > (pi > pi)))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OPar, type, par: (pi > (pi > pi))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OPiNil, type, piNil: pi).
% 2.45/1.49 thf(sy_c_Agent_Opi_ORes, type, res: (name > (pi > pi))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OSum, type, sum: (pi > (pi > pi))).
% 2.45/1.49 thf(sy_c_Agent_Opi_OTau, type, tau: (pi > pi)).
% 2.45/1.49 thf(sy_c_Agent_Osubs, type, subs: (pi > (name > (name > pi)))).
% 2.45/1.49 thf(sy_c_Agent_Osubst__name, type, subst_name: (name > (name > (name > name)))).
% 2.45/1.49 thf(sy_c_If, type, if: (!> [A:$tType]: (($o > (A > (A > A)))))).
% 2.45/1.49 thf(sy_c_Late__Semantics_OfreeRes_OOutputR, type, late_OutputR: (name > (name > late_freeRes))).
% 2.45/1.49 thf(sy_c_Late__Semantics_OfreeRes_OTauR, type, late_TauR: late_freeRes).
% 2.45/1.49 thf(sy_c_Late__Semantics_OfreeRes_OfreeRes__rec, type, late_freeRes_rec: (!> [T:$tType]: (((name > (name > T)) > (T > (late_freeRes > T)))))).
% 2.45/1.49 thf(sy_c_Late__Semantics_Oresidual_OBoundR, type, late_BoundR: (late_subject > (name > (pi > late_residual)))).
% 2.45/1.49 thf(sy_c_Late__Semantics_Oresidual_OFreeR, type, late_FreeR: (late_freeRes > (pi > late_residual))).
% 2.45/1.49 thf(sy_c_Late__Semantics_Osubject_OBoundOutputS, type, late_BoundOutputS: (name > late_subject)).
% 2.45/1.49 thf(sy_c_Late__Semantics_Osubject_OInputS, type, late_InputS: (name > late_subject)).
% 2.45/1.49 thf(sy_c_Late__Semantics_Osubject_Osubject__rec, type, late_subject_rec: (!> [T:$tType]: (((name > T) > ((name > T) > (late_subject > T)))))).
% 2.45/1.49 thf(sy_c_Late__Semantics_Otransitions, type, late_transitions: (pi > (late_residual > $o))).
% 2.45/1.49 thf(sy_c_Nominal_Oabs__fun, type, abs_fun: (!> [X:$tType,A:$tType]: ((X > (A > (X > (noption @ A))))))).
% 2.45/1.49 thf(sy_c_Nominal_Ofresh, type, fresh: (!> [X:$tType,A:$tType]: ((X > (A > $o))))).
% 2.45/1.49 thf(sy_c_Product__Type_OPair, type, product_Pair: (!> [A:$tType,B:$tType]: ((A > (B > ((product_prod @ A) @ B)))))).
% 2.45/1.49 thf(sy_c_Product__Type_Ointernal__case__prod, type, produc2004651681e_prod: (!> [A:$tType,B:$tType,C:$tType]: (((A > (B > C)) > (((product_prod @ A) @ B) > C))))).
% 2.45/1.49 thf(sy_c_Product__Type_Oold_Oprod_Orec__prod, type, product_rec_prod: (!> [A:$tType,B:$tType,T:$tType]: (((A > (B > T)) > (((product_prod @ A) @ B) > T))))).
% 2.45/1.49 thf(sy_c_Rel_Oeqvt, type, eqvt: (!> [A:$tType]: (((set @ ((product_prod @ A) @ A)) > $o)))).
% 2.45/1.49 thf(sy_c_Set_OCollect, type, collect: (!> [A:$tType]: (((A > $o) > (set @ A))))).
% 2.45/1.49 thf(sy_c_Strong__Late__Sim_Oderivative, type, strong2129052853vative: (pi > (pi > (late_subject > (name > ((set @ ((product_prod @ pi) @ pi)) > $o)))))).
% 2.45/1.49 thf(sy_c_Strong__Late__Sim_Osimulation, type, strong743114133lation: (pi > ((set @ ((product_prod @ pi) @ pi)) > (pi > $o)))).
% 2.45/1.49 thf(sy_c_member, type, member: (!> [A:$tType]: ((A > ((set @ A) > $o))))).
% 2.45/1.49 thf(sy_v_P, type, p: pi).
% 2.45/1.49 thf(sy_v_P_H____, type, p2: pi).
% 2.45/1.49 thf(sy_v_PxQ____, type, pxQ: pi).
% 2.45/1.49 thf(sy_v_Q, type, q: pi).
% 2.45/1.49 thf(sy_v_Rel, type, rel: (set @ ((product_prod @ pi) @ pi))).
% 2.45/1.49 thf(sy_v_aa____, type, aa: late_subject).
% 2.45/1.49 thf(sy_v_u____, type, u: name).
% 2.45/1.49 thf(sy_v_x, type, x: name).
% 2.45/1.49 thf(sy_v_y____, type, y: name).
% 2.45/1.49 thf(fact_0_False, axiom, (x != u)).
% 2.45/1.49 thf(fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062, axiom, ((((subs @ ((res @ x) @ q)) @ y) @ u) = ((res @ x) @ (((subs @ q) @ y) @ u)))).
% 2.45/1.49 thf(fact_2__092_060open_062y_A_092_060noteq_062_Ax_092_060close_062, axiom, (y != x)).
% 2.45/1.49 thf(fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062, axiom, ((((fresh @ name) @ pi) @ x) @ (((subs @ p2) @ y) @ u))).
% 2.45/1.49 thf(fact_4_EqvtRel, axiom, ((eqvt @ pi) @ rel)).
% 2.45/1.49 thf(fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062, axiom, ((((subs @ ((res @ x) @ ((par @ p2) @ q))) @ y) @ u) = ((res @ x) @ ((par @ (((subs @ p2) @ y) @ u)) @ (((subs @ q) @ y) @ u))))).
% 2.45/1.49 thf(fact_6__092_060open_062y_A_092_060sharp_062_AQ_092_060close_062, axiom, ((((fresh @ name) @ pi) @ y) @ q)).
% 2.45/1.49 thf(fact_7__092_060open_062x_A_092_060sharp_062_AP_H_092_060close_062, axiom, ((((fresh @ name) @ pi) @ x) @ p2)).
% 2.45/1.49 thf(fact_8_Res, axiom, (! [Y:name,R:pi,S:pi]: ((((((fresh @ name) @ pi) @ Y) @ R) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((res @ Y) @ ((par @ R) @ S))) @ ((par @ R) @ ((res @ Y) @ S)))) @ rel))))).
% 2.45/1.49 thf(fact_9_ScopeExt, axiom, (! [Y:name,R:pi,Z:name,S:pi]: ((((((fresh @ name) @ pi) @ Y) @ R) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((res @ Y) @ ((res @ Z) @ ((par @ R) @ S)))) @ ((res @ Z) @ ((par @ R) @ ((res @ Y) @ S))))) @ rel))))).
% 2.45/1.49 thf(fact_10__092_060open_062y_A_092_060sharp_062_A_060_092_060nu_062x_062Q_092_060close_062, axiom, ((((fresh @ name) @ pi) @ y) @ ((res @ x) @ q))).
% 2.45/1.49 thf(fact_11_assms_I1_J, axiom, ((((fresh @ name) @ pi) @ x) @ p)).
% 2.45/1.49 thf(fact_12_Bound_Ohyps_I3_J, axiom, ((((fresh @ name) @ pi) @ y) @ ((par @ p) @ ((res @ x) @ q)))).
% 2.45/1.49 thf(fact_13_Bound_Ohyps_I2_J, axiom, ((((fresh @ name) @ pi) @ y) @ ((res @ x) @ ((par @ p) @ q)))).
% 2.45/1.49 thf(fact_14_simps_I8_J, axiom, (! [P:pi,Q:pi,C2:name,D:name]: (((((subs @ ((par @ P) @ Q)) @ C2) @ D) = ((par @ (((subs @ P) @ C2) @ D)) @ (((subs @ Q) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_15_simps_I9_J, axiom, (! [X2:name,C2:name,D:name,P:pi]: (((X2 != C2) => ((X2 != D) => ((((subs @ ((res @ X2) @ P)) @ C2) @ D) = ((res @ X2) @ (((subs @ P) @ C2) @ D)))))))).
% 2.45/1.49 thf(fact_16_subst__identity, axiom, (! [P:pi,A2:name]: (((((subs @ P) @ A2) @ A2) = P)))).
% 2.45/1.49 thf(fact_17_prod_Oinject, axiom, (! [A:$tType,B:$tType,X1:A,X22:B,Y1:A,Y2:B]: (((((((product_Pair @ A) @ B) @ X1) @ X22) = ((((product_Pair @ A) @ B) @ Y1) @ Y2)) = ((X1 = Y1) & (X22 = Y2)))))).
% 2.45/1.49 thf(fact_18_old_Oprod_Oinject, axiom, (! [A:$tType,B:$tType,A2:A,B2:B,A3:A,B3:B]: (((((((product_Pair @ A) @ B) @ A2) @ B2) = ((((product_Pair @ A) @ B) @ A3) @ B3)) = ((A2 = A3) & (B2 = B3)))))).
% 2.45/1.49 thf(fact_19_pi_Odistinct_I85_J, axiom, (! [Pi1:pi,Pi2:pi,Name:name,Pi:pi]: ((((par @ Pi1) @ Pi2) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_20__092_060open_062y_A_092_060sharp_062_AP_092_060close_062, axiom, ((((fresh @ name) @ pi) @ y) @ p)).
% 2.45/1.49 thf(fact_21_Bound_Ohyps_I5_J, axiom, ((((fresh @ name) @ ((product_prod @ name) @ ((product_prod @ pi) @ pi))) @ y) @ ((((product_Pair @ name) @ ((product_prod @ pi) @ pi)) @ x) @ ((((product_Pair @ pi) @ pi) @ p) @ q)))).
% 2.45/1.49 thf(fact_22_parSym, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),P:pi,Q:pi]: (((! [R2:pi,S2:pi]: ((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((par @ R2) @ S2)) @ ((par @ S2) @ R2))) @ Rel))) => ((! [R2:pi,S2:pi,X3:name]: (((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ R2) @ S2)) @ Rel) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((res @ X3) @ R2)) @ ((res @ X3) @ S2))) @ Rel)))) => (((strong743114133lation @ ((par @ P) @ Q)) @ Rel) @ ((par @ Q) @ P))))))).
% 2.45/1.49 thf(fact_23_substRes2, axiom, (! [B2:name,P:pi,A2:name]: ((((((fresh @ name) @ pi) @ B2) @ P) => (((res @ A2) @ P) = ((res @ B2) @ (((subs @ P) @ A2) @ B2))))))).
% 2.45/1.49 thf(fact_24_Agent_OsubstRes3, axiom, (! [B2:name,P:pi,A2:name]: ((((((fresh @ name) @ pi) @ B2) @ P) => ((((subs @ ((res @ A2) @ P)) @ A2) @ B2) = ((res @ B2) @ (((subs @ P) @ A2) @ B2))))))).
% 2.45/1.49 thf(fact_25_Bound_Ohyps_I4_J, axiom, ((((fresh @ name) @ late_subject) @ y) @ aa)).
% 2.45/1.49 thf(fact_26__092_060open_062x_A_092_060sharp_062_Aa_092_060close_062, axiom, ((((fresh @ name) @ late_subject) @ x) @ aa)).
% 2.45/1.49 thf(fact_27_pi_Ofresh_I8_J, axiom, (! [A2:name,X22:pi,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ ((par @ X22) @ X1)) = (((((fresh @ name) @ pi) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1)))))).
% 2.45/1.49 thf(fact_28_name__exists__fresh, axiom, (! [A:$tType]: (((fs_name @ A) => (! [X2:A]: ((~ ((! [C3:name]: ((~ (((((fresh @ name) @ A) @ C3) @ X2))))))))))))).
% 2.45/1.49 thf(fact_29_freshRes, axiom, (! [A2:name,P:pi]: (((((fresh @ name) @ pi) @ A2) @ ((res @ A2) @ P))))).
% 2.45/1.49 thf(fact_30_fresh__fact2, axiom, (! [A2:name,B2:name,P:pi]: (((A2 != B2) => ((((fresh @ name) @ pi) @ A2) @ (((subs @ P) @ A2) @ B2)))))).
% 2.45/1.49 thf(fact_31_fresh__fact1, axiom, (! [A2:name,P:pi,C2:name,B2:name]: ((((((fresh @ name) @ pi) @ A2) @ P) => ((A2 != C2) => ((((fresh @ name) @ pi) @ A2) @ (((subs @ P) @ B2) @ C2))))))).
% 2.45/1.49 thf(fact_32_forget, axiom, (! [A2:name,P:pi,B2:name]: ((((((fresh @ name) @ pi) @ A2) @ P) => ((((subs @ P) @ A2) @ B2) = P))))).
% 2.45/1.49 thf(fact_33_parAssocLeft, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),P:pi,Q:pi,R:pi]: (((! [S2:pi,T2:pi,U:pi]: ((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((par @ ((par @ S2) @ T2)) @ U)) @ ((par @ S2) @ ((par @ T2) @ U)))) @ Rel))) => ((! [S2:pi,T2:pi,X3:name]: (((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ S2) @ T2)) @ Rel) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((res @ X3) @ S2)) @ ((res @ X3) @ T2))) @ Rel)))) => ((! [S2:pi,T2:pi,U:pi,X3:name]: ((((((fresh @ name) @ pi) @ X3) @ S2) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((res @ X3) @ ((par @ ((par @ S2) @ T2)) @ U))) @ ((par @ S2) @ ((res @ X3) @ ((par @ T2) @ U))))) @ Rel)))) => ((! [S2:pi,T2:pi,U:pi,X3:name]: ((((((fresh @ name) @ pi) @ X3) @ U) => (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((par @ ((res @ X3) @ ((par @ S2) @ T2))) @ U)) @ ((res @ X3) @ ((par @ S2) @ ((par @ T2) @ U))))) @ Rel)))) => (((strong743114133lation @ ((par @ ((par @ P) @ Q)) @ R)) @ Rel) @ ((par @ P) @ ((par @ Q) @ R)))))))))).
% 2.45/1.49 thf(fact_34_old_Oprod_Oinducts, axiom, (! [B:$tType,A:$tType,P:(((product_prod @ A) @ B) > $o),Prod:((product_prod @ A) @ B)]: (((! [A4:A,B4:B]: ((P @ ((((product_Pair @ A) @ B) @ A4) @ B4)))) => (P @ Prod))))).
% 2.45/1.49 thf(fact_35_old_Oprod_Oexhaust, axiom, (! [A:$tType,B:$tType,Y:((product_prod @ A) @ B)]: ((~ ((! [A4:A,B4:B]: ((Y != ((((product_Pair @ A) @ B) @ A4) @ B4))))))))).
% 2.45/1.49 thf(fact_36_prod__induct7, axiom, (! [G:$tType,F:$tType,E:$tType,D2:$tType,C:$tType,B:$tType,A:$tType,P:(((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G)))))) > $o),X2:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))))))]: (((! [A4:A,B4:B,C3:C,D3:D2,E2:E,F2:F,G2:G]: ((P @ ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G)))))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G)))) @ C3) @ ((((product_Pair @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))) @ D3) @ ((((product_Pair @ E) @ ((product_prod @ F) @ G)) @ E2) @ ((((product_Pair @ F) @ G) @ F2) @ G2))))))))) => (P @ X2))))).
% 2.45/1.49 thf(fact_37_prod__induct6, axiom, (! [F:$tType,E:$tType,D2:$tType,C:$tType,B:$tType,A:$tType,P:(((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F))))) > $o),X2:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F)))))]: (((! [A4:A,B4:B,C3:C,D3:D2,E2:E,F2:F]: ((P @ ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F))))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F)))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F))) @ C3) @ ((((product_Pair @ D2) @ ((product_prod @ E) @ F)) @ D3) @ ((((product_Pair @ E) @ F) @ E2) @ F2)))))))) => (P @ X2))))).
% 2.45/1.49 thf(fact_38_prod__induct5, axiom, (! [E:$tType,D2:$tType,C:$tType,B:$tType,A:$tType,P:(((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E)))) > $o),X2:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E))))]: (((! [A4:A,B4:B,C3:C,D3:D2,E2:E]: ((P @ ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E)))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ E)) @ C3) @ ((((product_Pair @ D2) @ E) @ D3) @ E2))))))) => (P @ X2))))).
% 2.45/1.49 thf(fact_39_prod__induct4, axiom, (! [D2:$tType,C:$tType,B:$tType,A:$tType,P:(((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ D2))) > $o),X2:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ D2)))]: (((! [A4:A,B4:B,C3:C,D3:D2]: ((P @ ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ D2))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ D2)) @ B4) @ ((((product_Pair @ C) @ D2) @ C3) @ D3)))))) => (P @ X2))))).
% 2.45/1.49 thf(fact_40_prod__induct3, axiom, (! [C:$tType,B:$tType,A:$tType,P:(((product_prod @ A) @ ((product_prod @ B) @ C)) > $o),X2:((product_prod @ A) @ ((product_prod @ B) @ C))]: (((! [A4:A,B4:B,C3:C]: ((P @ ((((product_Pair @ A) @ ((product_prod @ B) @ C)) @ A4) @ ((((product_Pair @ B) @ C) @ B4) @ C3))))) => (P @ X2))))).
% 2.45/1.49 thf(fact_41_prod__cases7, axiom, (! [A:$tType,B:$tType,C:$tType,D2:$tType,E:$tType,F:$tType,G:$tType,Y:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))))))]: ((~ ((! [A4:A,B4:B,C3:C,D3:D2,E2:E,F2:F,G2:G]: ((Y != ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G)))))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G)))) @ C3) @ ((((product_Pair @ D2) @ ((product_prod @ E) @ ((product_prod @ F) @ G))) @ D3) @ ((((product_Pair @ E) @ ((product_prod @ F) @ G)) @ E2) @ ((((product_Pair @ F) @ G) @ F2) @ G2)))))))))))))).
% 2.45/1.49 thf(fact_42_prod__cases6, axiom, (! [A:$tType,B:$tType,C:$tType,D2:$tType,E:$tType,F:$tType,Y:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F)))))]: ((~ ((! [A4:A,B4:B,C3:C,D3:D2,E2:E,F2:F]: ((Y != ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F))))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F)))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ ((product_prod @ E) @ F))) @ C3) @ ((((product_Pair @ D2) @ ((product_prod @ E) @ F)) @ D3) @ ((((product_Pair @ E) @ F) @ E2) @ F2))))))))))))).
% 2.45/1.49 thf(fact_43_prod__cases5, axiom, (! [A:$tType,B:$tType,C:$tType,D2:$tType,E:$tType,Y:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E))))]: ((~ ((! [A4:A,B4:B,C3:C,D3:D2,E2:E]: ((Y != ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E)))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ ((product_prod @ D2) @ E))) @ B4) @ ((((product_Pair @ C) @ ((product_prod @ D2) @ E)) @ C3) @ ((((product_Pair @ D2) @ E) @ D3) @ E2)))))))))))).
% 2.45/1.49 thf(fact_44_prod__cases4, axiom, (! [A:$tType,B:$tType,C:$tType,D2:$tType,Y:((product_prod @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ D2)))]: ((~ ((! [A4:A,B4:B,C3:C,D3:D2]: ((Y != ((((product_Pair @ A) @ ((product_prod @ B) @ ((product_prod @ C) @ D2))) @ A4) @ ((((product_Pair @ B) @ ((product_prod @ C) @ D2)) @ B4) @ ((((product_Pair @ C) @ D2) @ C3) @ D3))))))))))).
% 2.45/1.49 thf(fact_45_mem__Collect__eq, axiom, (! [A:$tType,A2:A,P:(A > $o)]: (((((member @ A) @ A2) @ ((collect @ A) @ P)) = (P @ A2))))).
% 2.45/1.49 thf(fact_46_Collect__mem__eq, axiom, (! [A:$tType,A5:(set @ A)]: ((((collect @ A) @ (^ [X4:A]: ((((member @ A) @ X4) @ A5)))) = A5)))).
% 2.45/1.49 thf(fact_47_Collect__cong, axiom, (! [A:$tType,P:(A > $o),Q:(A > $o)]: (((! [X3:A]: (((P @ X3) = (Q @ X3)))) => (((collect @ A) @ P) = ((collect @ A) @ Q)))))).
% 2.45/1.49 thf(fact_48_prod__cases3, axiom, (! [A:$tType,B:$tType,C:$tType,Y:((product_prod @ A) @ ((product_prod @ B) @ C))]: ((~ ((! [A4:A,B4:B,C3:C]: ((Y != ((((product_Pair @ A) @ ((product_prod @ B) @ C)) @ A4) @ ((((product_Pair @ B) @ C) @ B4) @ C3)))))))))).
% 2.45/1.49 thf(fact_49_Pair__inject, axiom, (! [A:$tType,B:$tType,A2:A,B2:B,A3:A,B3:B]: (((((((product_Pair @ A) @ B) @ A2) @ B2) = ((((product_Pair @ A) @ B) @ A3) @ B3)) => (~ (((A2 = A3) => (B2 != B3)))))))).
% 2.45/1.49 thf(fact_50_prod__cases, axiom, (! [B:$tType,A:$tType,P:(((product_prod @ A) @ B) > $o),P2:((product_prod @ A) @ B)]: (((! [A4:A,B4:B]: ((P @ ((((product_Pair @ A) @ B) @ A4) @ B4)))) => (P @ P2))))).
% 2.45/1.49 thf(fact_51_surj__pair, axiom, (! [A:$tType,B:$tType,P2:((product_prod @ A) @ B)]: ((? [X3:A,Y3:B]: ((P2 = ((((product_Pair @ A) @ B) @ X3) @ Y3))))))).
% 2.45/1.49 thf(fact_52_pi_Oinject_I7_J, axiom, (! [X22:pi,X1:pi,Y2:pi,Y1:pi]: (((((par @ X22) @ X1) = ((par @ Y2) @ Y1)) = ((X22 = Y2) & (X1 = Y1)))))).
% 2.45/1.49 thf(fact_53_fresh__prod, axiom, (! [A:$tType,X:$tType,B:$tType,A2:X,X2:A,Y:B]: ((((((fresh @ X) @ ((product_prod @ A) @ B)) @ A2) @ ((((product_Pair @ A) @ B) @ X2) @ Y)) = (((((fresh @ X) @ A) @ A2) @ X2) & ((((fresh @ X) @ B) @ A2) @ Y)))))).
% 2.45/1.49 thf(fact_54_substTrans, axiom, (! [B2:name,P:pi,A2:name,C2:name]: ((((((fresh @ name) @ pi) @ B2) @ P) => ((((subs @ (((subs @ P) @ A2) @ B2)) @ B2) @ C2) = (((subs @ P) @ A2) @ C2)))))).
% 2.45/1.49 thf(fact_55_fresh__prodD_I1_J, axiom, (! [C:$tType,A:$tType,B:$tType,A2:A,X2:B,Y:C]: ((((((fresh @ A) @ ((product_prod @ B) @ C)) @ A2) @ ((((product_Pair @ B) @ C) @ X2) @ Y)) => ((((fresh @ A) @ B) @ A2) @ X2))))).
% 2.45/1.49 thf(fact_56_fresh__prodD_I2_J, axiom, (! [B:$tType,A:$tType,C:$tType,A2:A,X2:B,Y:C]: ((((((fresh @ A) @ ((product_prod @ B) @ C)) @ A2) @ ((((product_Pair @ B) @ C) @ X2) @ Y)) => ((((fresh @ A) @ C) @ A2) @ Y))))).
% 2.45/1.49 thf(fact_57_old_Oprod_Orec, axiom, (! [A:$tType,T:$tType,B:$tType,F1:(A > (B > T)),A2:A,B2:B]: (((((((product_rec_prod @ A) @ B) @ T) @ F1) @ ((((product_Pair @ A) @ B) @ A2) @ B2)) = ((F1 @ A2) @ B2))))).
% 2.45/1.49 thf(fact_58_Bound_Ohyps_I1_J, axiom, ((late_transitions @ ((par @ p) @ ((res @ x) @ q))) @ (((late_BoundR @ aa) @ y) @ pxQ))).
% 2.45/1.49 thf(fact_59__092_060open_062_060_092_060nu_062x_062_IP_A_092_060parallel_062_AQ_J_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_A_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_092_060close_062, axiom, ((late_transitions @ ((res @ x) @ ((par @ p) @ q))) @ (((late_BoundR @ aa) @ y) @ ((res @ x) @ ((par @ p2) @ q))))).
% 2.45/1.49 thf(fact_60_cPar1_Ohyps, axiom, ((late_transitions @ p) @ (((late_BoundR @ aa) @ y) @ p2))).
% 2.45/1.49 thf(fact_61__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062, axiom, ((late_transitions @ ((par @ p) @ q)) @ (((late_BoundR @ aa) @ y) @ ((par @ p2) @ q)))).
% 2.45/1.49 thf(fact_62_freshBoundDerivative_I2_J, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Y:name]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ pi) @ Y) @ P) => ((Y != X2) => ((((fresh @ name) @ pi) @ Y) @ P3))))))).
% 2.45/1.49 thf(fact_63_freshResidual, axiom, (! [P:pi,Rs:late_residual,X2:name]: ((((late_transitions @ P) @ Rs) => (((((fresh @ name) @ pi) @ X2) @ P) => ((((fresh @ name) @ late_residual) @ X2) @ Rs)))))).
% 2.45/1.49 thf(fact_64_parCasesB, axiom, (! [P:pi,Q:pi,A2:late_subject,X2:name,PQ:pi,Prop:(pi > $o)]: ((((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ A2) @ X2) @ PQ)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => ((! [P4:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P4)) => (Prop @ ((par @ P4) @ Q))))) => ((! [Q2:pi]: ((((late_transitions @ Q) @ (((late_BoundR @ A2) @ X2) @ Q2)) => (Prop @ ((par @ P) @ Q2))))) => (Prop @ PQ))))))))).
% 2.45/1.49 thf(fact_65_Late__Semantics_OPar2B, axiom, (! [Q:pi,A2:late_subject,X2:name,Q3:pi,P:pi]: ((((late_transitions @ Q) @ (((late_BoundR @ A2) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => ((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ A2) @ X2) @ ((par @ P) @ Q3)))))))).
% 2.45/1.49 thf(fact_66_Late__Semantics_OPar1B, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Q:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ pi) @ X2) @ Q) => ((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ A2) @ X2) @ ((par @ P3) @ Q)))))))).
% 2.45/1.49 thf(fact_67_Late__Semantics_OResB, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Y:name]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ late_subject) @ Y) @ A2) => ((Y != X2) => ((late_transitions @ ((res @ Y) @ P)) @ (((late_BoundR @ A2) @ X2) @ ((res @ Y) @ P3))))))))).
% 2.45/1.49 thf(fact_68_freshBoundDerivative_I1_J, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Y:name]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ pi) @ Y) @ P) => ((((fresh @ name) @ late_subject) @ Y) @ A2)))))).
% 2.45/1.49 thf(fact_69_transitions_OResB, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Y:name]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ late_subject) @ Y) @ A2) => ((Y != X2) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ late_subject) @ X2) @ A2) => ((late_transitions @ ((res @ Y) @ P)) @ (((late_BoundR @ A2) @ X2) @ ((res @ Y) @ P3))))))))))).
% 2.45/1.49 thf(fact_70_transitions_OPar2B, axiom, (! [Q:pi,A2:late_subject,X2:name,Q3:pi,P:pi]: ((((late_transitions @ Q) @ (((late_BoundR @ A2) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => (((((fresh @ name) @ late_subject) @ X2) @ A2) => ((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ A2) @ X2) @ ((par @ P) @ Q3)))))))))).
% 2.45/1.49 thf(fact_71_transitions_OPar1B, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi,Q:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => (((((fresh @ name) @ late_subject) @ X2) @ A2) => ((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ A2) @ X2) @ ((par @ P3) @ Q)))))))))).
% 2.45/1.49 thf(fact_72_parCasesB_H, axiom, (! [P:pi,Q:pi,B2:late_subject,Y:name,P3:pi]: ((((late_transitions @ ((par @ P) @ Q)) @ (((late_BoundR @ B2) @ Y) @ P3)) => ((! [P5:pi,A4:late_subject,X3:name,P4:pi,Q4:pi]: (((((par @ P) @ Q) = ((par @ P5) @ Q4)) => (((((late_BoundR @ B2) @ Y) @ P3) = (((late_BoundR @ A4) @ X3) @ ((par @ P4) @ Q4))) => (((late_transitions @ P5) @ (((late_BoundR @ A4) @ X3) @ P4)) => (((((fresh @ name) @ pi) @ X3) @ P5) => (((((fresh @ name) @ pi) @ X3) @ Q4) => (~ (((((fresh @ name) @ late_subject) @ X3) @ A4)))))))))) => (~ ((! [Q4:pi,A4:late_subject,X3:name,Q2:pi,P5:pi]: (((((par @ P) @ Q) = ((par @ P5) @ Q4)) => (((((late_BoundR @ B2) @ Y) @ P3) = (((late_BoundR @ A4) @ X3) @ ((par @ P5) @ Q2))) => (((late_transitions @ Q4) @ (((late_BoundR @ A4) @ X3) @ Q2)) => (((((fresh @ name) @ pi) @ X3) @ P5) => (((((fresh @ name) @ pi) @ X3) @ Q4) => (~ (((((fresh @ name) @ late_subject) @ X3) @ A4))))))))))))))))).
% 2.45/1.49 thf(fact_73_simE_I1_J, axiom, (! [P:pi,Rel:(set @ ((product_prod @ pi) @ pi)),Q:pi,A2:late_subject,X2:name,Q3:pi]: (((((strong743114133lation @ P) @ Rel) @ Q) => (((late_transitions @ Q) @ (((late_BoundR @ A2) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (? [P4:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A2) @ X2) @ P4)) & (((((strong2129052853vative @ P4) @ Q3) @ A2) @ X2) @ Rel)))))))))).
% 2.45/1.49 thf(fact_74_internal__case__prod__conv, axiom, (! [B:$tType,A:$tType,C:$tType,C2:(B > (C > A)),A2:B,B2:C]: (((((((produc2004651681e_prod @ B) @ C) @ A) @ C2) @ ((((product_Pair @ B) @ C) @ A2) @ B2)) = ((C2 @ A2) @ B2))))).
% 2.45/1.49 thf(fact_75_simCasesCont, axiom, (! [A:$tType]: (((fs_name @ A) => (! [Rel:(set @ ((product_prod @ pi) @ pi)),Q:pi,P:pi,C4:A]: ((((eqvt @ pi) @ Rel) => ((! [A4:late_subject,X3:name,Q2:pi]: ((((late_transitions @ Q) @ (((late_BoundR @ A4) @ X3) @ Q2)) => (((((fresh @ name) @ pi) @ X3) @ P) => (((((fresh @ name) @ pi) @ X3) @ Q) => (((((fresh @ name) @ late_subject) @ X3) @ A4) => (((((fresh @ name) @ A) @ X3) @ C4) => (? [P6:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A4) @ X3) @ P6)) & (((((strong2129052853vative @ P6) @ Q2) @ A4) @ X3) @ Rel))))))))))) => ((! [Alpha:late_freeRes,Q2:pi]: ((((late_transitions @ Q) @ ((late_FreeR @ Alpha) @ Q2)) => (? [P6:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha) @ P6)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P6) @ Q2)) @ Rel))))))) => (((strong743114133lation @ P) @ Rel) @ Q)))))))))).
% 2.45/1.49 thf(fact_76_parZeroLeft, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),P:pi]: (((! [Q4:pi]: ((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ ((par @ Q4) @ piNil)) @ Q4)) @ Rel))) => (((strong743114133lation @ ((par @ P) @ piNil)) @ Rel) @ P))))).
% 2.45/1.49 thf(fact_77_parZeroRight, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),P:pi]: (((! [Q4:pi]: ((((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ Q4) @ ((par @ Q4) @ piNil))) @ Rel))) => (((strong743114133lation @ P) @ Rel) @ ((par @ P) @ piNil)))))).
% 2.45/1.49 thf(fact_78_inputIneqTrans, axiom, (! [A2:name,X2:name,P:pi,B2:late_subject,Y:name,P3:pi]: ((((late_transitions @ (((input @ A2) @ X2) @ P)) @ (((late_BoundR @ B2) @ Y) @ P3)) => (~ (((((fresh @ name) @ late_subject) @ A2) @ B2))))))).
% 2.45/1.49 thf(fact_79_resTauBoundTrans, axiom, (! [X2:name,P:pi,A2:late_subject,Y:name,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (tau @ P))) @ (((late_BoundR @ A2) @ Y) @ P3))))))).
% 2.45/1.49 thf(fact_80_pi_Ofresh_I1_J, axiom, (! [A2:name]: (((((fresh @ name) @ pi) @ A2) @ piNil)))).
% 2.45/1.49 thf(fact_81_pi_Ofresh_I3_J, axiom, (! [A2:name,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ (tau @ X1)) = ((((fresh @ name) @ pi) @ A2) @ X1))))).
% 2.45/1.49 thf(fact_82_simps_I1_J, axiom, (! [C2:name,D:name]: (((((subs @ piNil) @ C2) @ D) = piNil)))).
% 2.45/1.49 thf(fact_83_simps_I2_J, axiom, (! [P:pi,C2:name,D:name]: (((((subs @ (tau @ P)) @ C2) @ D) = (tau @ (((subs @ P) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_84_residual_Ofresh_I2_J, axiom, (! [A2:name,X22:late_freeRes,X1:pi]: ((((((fresh @ name) @ late_residual) @ A2) @ ((late_FreeR @ X22) @ X1)) = (((((fresh @ name) @ late_freeRes) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1)))))).
% 2.45/1.49 thf(fact_85_inputFreeTrans, axiom, (! [A2:name,X2:name,P:pi,Alpha2:late_freeRes,P3:pi]: ((~ (((late_transitions @ (((input @ A2) @ X2) @ P)) @ ((late_FreeR @ Alpha2) @ P3))))))).
% 2.45/1.49 thf(fact_86_residual_Oinject_I2_J, axiom, (! [X22:late_freeRes,X1:pi,Y2:late_freeRes,Y1:pi]: (((((late_FreeR @ X22) @ X1) = ((late_FreeR @ Y2) @ Y1)) = ((X22 = Y2) & (X1 = Y1)))))).
% 2.45/1.49 thf(fact_87_nilSim_I2_J, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),A2:name,X2:name,P:pi]: ((~ ((((strong743114133lation @ piNil) @ Rel) @ (((input @ A2) @ X2) @ P))))))).
% 2.45/1.49 thf(fact_88_nilSim_I1_J, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),P:pi]: ((~ ((((strong743114133lation @ piNil) @ Rel) @ (tau @ P))))))).
% 2.45/1.49 thf(fact_89_pi_Odistinct_I3_J, axiom, (! [Pi:pi]: ((piNil != (tau @ Pi))))).
% 2.45/1.49 thf(fact_90_pi_Odistinct_I5_J, axiom, (! [Name1:name,Name2:name,Pi:pi]: ((piNil != (((input @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_91_pi_Odistinct_I35_J, axiom, (! [Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((tau @ Pi3) != (((input @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_92_pi_Oinject_I2_J, axiom, (! [X1:pi,Y1:pi]: ((((tau @ X1) = (tau @ Y1)) = (X1 = Y1))))).
% 2.45/1.49 thf(fact_93_resInputFreeTrans, axiom, (! [X2:name,A2:name,Y:name,P:pi,Alpha2:late_freeRes,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (((input @ A2) @ Y) @ P))) @ ((late_FreeR @ Alpha2) @ P3))))))).
% 2.45/1.49 thf(fact_94_residual_Odistinct_I1_J, axiom, (! [Subject:late_subject,Name3:name,Pi3:pi,FreeRes:late_freeRes,Pi:pi]: (((((late_BoundR @ Subject) @ Name3) @ Pi3) != ((late_FreeR @ FreeRes) @ Pi))))).
% 2.45/1.49 thf(fact_95_residual_Oinducts, axiom, (! [P:(late_residual > $o),Residual:late_residual]: (((! [Subject2:late_subject,Name4:name,Pi4:pi]: ((P @ (((late_BoundR @ Subject2) @ Name4) @ Pi4)))) => ((! [FreeRes2:late_freeRes,Pi4:pi]: ((P @ ((late_FreeR @ FreeRes2) @ Pi4)))) => (P @ Residual)))))).
% 2.45/1.49 thf(fact_96_pi_Odistinct_I57_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name:name,Pi:pi]: (((((input @ Name12) @ Name22) @ Pi3) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_97_pi_Odistinct_I55_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((input @ Name12) @ Name22) @ Pi3) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_98_pi_Odistinct_I45_J, axiom, (! [Pi3:pi,Name:name,Pi:pi]: (((tau @ Pi3) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_99_pi_Odistinct_I43_J, axiom, (! [Pi3:pi,Pi12:pi,Pi22:pi]: (((tau @ Pi3) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_100_nilCases_H, axiom, (! [Rs:late_residual]: ((~ (((late_transitions @ piNil) @ Rs)))))).
% 2.45/1.49 thf(fact_101_zeroTrans, axiom, (! [Rs:late_residual]: ((~ (((late_transitions @ piNil) @ Rs)))))).
% 2.45/1.49 thf(fact_102_pi_Odistinct_I15_J, axiom, (! [Name:name,Pi:pi]: ((piNil != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_103_pi_Odistinct_I13_J, axiom, (! [Pi12:pi,Pi22:pi]: ((piNil != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_104_nilSimRight, axiom, (! [P:pi,Rel:(set @ ((product_prod @ pi) @ pi))]: ((((strong743114133lation @ P) @ Rel) @ piNil)))).
% 2.45/1.49 thf(fact_105_ResF, axiom, (! [P:pi,Alpha2:late_freeRes,P3:pi,Y:name]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P3)) => (((((fresh @ name) @ late_freeRes) @ Y) @ Alpha2) => ((late_transitions @ ((res @ Y) @ P)) @ ((late_FreeR @ Alpha2) @ ((res @ Y) @ P3)))))))).
% 2.45/1.49 thf(fact_106_resCasesF_H, axiom, (! [X2:name,P:pi,Alpha2:late_freeRes,P3:pi]: ((((late_transitions @ ((res @ X2) @ P)) @ ((late_FreeR @ Alpha2) @ P3)) => (~ ((! [P5:pi,Alpha:late_freeRes,P4:pi,Y3:name]: (((((res @ X2) @ P) = ((res @ Y3) @ P5)) => ((((late_FreeR @ Alpha2) @ P3) = ((late_FreeR @ Alpha) @ ((res @ Y3) @ P4))) => (((late_transitions @ P5) @ ((late_FreeR @ Alpha) @ P4)) => (~ (((((fresh @ name) @ late_freeRes) @ Y3) @ Alpha)))))))))))))).
% 2.45/1.49 thf(fact_107_resCasesF, axiom, (! [X2:name,P:pi,Alpha2:late_freeRes,XP:pi,F3:(pi > $o)]: ((((late_transitions @ ((res @ X2) @ P)) @ ((late_FreeR @ Alpha2) @ XP)) => ((! [P4:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P4)) => (((((fresh @ name) @ late_freeRes) @ X2) @ Alpha2) => (F3 @ ((res @ X2) @ P4)))))) => (F3 @ XP)))))).
% 2.45/1.49 thf(fact_108_Par1F, axiom, (! [P:pi,Alpha2:late_freeRes,P3:pi,Q:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P3)) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ Alpha2) @ ((par @ P3) @ Q))))))).
% 2.45/1.49 thf(fact_109_Par2F, axiom, (! [Q:pi,Alpha2:late_freeRes,Q3:pi,P:pi]: ((((late_transitions @ Q) @ ((late_FreeR @ Alpha2) @ Q3)) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ Alpha2) @ ((par @ P) @ Q3))))))).
% 2.45/1.49 thf(fact_110_freshFreeDerivative_I1_J, axiom, (! [P:pi,Alpha2:late_freeRes,P3:pi,Y:name]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P3)) => (((((fresh @ name) @ pi) @ Y) @ P) => ((((fresh @ name) @ late_freeRes) @ Y) @ Alpha2)))))).
% 2.45/1.49 thf(fact_111_freshFreeDerivative_I2_J, axiom, (! [P:pi,Alpha2:late_freeRes,P3:pi,Y:name]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P3)) => (((((fresh @ name) @ pi) @ Y) @ P) => ((((fresh @ name) @ pi) @ Y) @ P3)))))).
% 2.45/1.49 thf(fact_112_simE_I2_J, axiom, (! [P:pi,Rel:(set @ ((product_prod @ pi) @ pi)),Q:pi,Alpha2:late_freeRes,Q3:pi]: (((((strong743114133lation @ P) @ Rel) @ Q) => (((late_transitions @ Q) @ ((late_FreeR @ Alpha2) @ Q3)) => (? [P4:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha2) @ P4)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P4) @ Q3)) @ Rel))))))))).
% 2.45/1.49 thf(fact_113_resTrans_I2_J, axiom, (! [X2:name,Y:name,P:pi,Rs:late_residual]: ((~ (((late_transitions @ ((res @ X2) @ (((input @ X2) @ Y) @ P))) @ Rs)))))).
% 2.45/1.49 thf(fact_114_simCases, axiom, (! [Q:pi,P:pi,Rel:(set @ ((product_prod @ pi) @ pi))]: (((! [A4:late_subject,Y3:name,Q2:pi]: ((((late_transitions @ Q) @ (((late_BoundR @ A4) @ Y3) @ Q2)) => (((((fresh @ name) @ pi) @ Y3) @ P) => (? [P6:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A4) @ Y3) @ P6)) & (((((strong2129052853vative @ P6) @ Q2) @ A4) @ Y3) @ Rel)))))))) => ((! [Alpha:late_freeRes,Q2:pi]: ((((late_transitions @ Q) @ ((late_FreeR @ Alpha) @ Q2)) => (? [P6:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha) @ P6)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P6) @ Q2)) @ Rel))))))) => (((strong743114133lation @ P) @ Rel) @ Q)))))).
% 2.45/1.49 thf(fact_115_simulation__def, axiom, (strong743114133lation = (^ [P7:pi,Rel2:(set @ ((product_prod @ pi) @ pi)),Q5:pi]: (((! [A6:late_subject,X4:name,Q6:pi]: (((((late_transitions @ Q5) @ (((late_BoundR @ A6) @ X4) @ Q6)) & ((((fresh @ name) @ pi) @ X4) @ P7)) => (? [P8:pi]: ((((late_transitions @ P7) @ (((late_BoundR @ A6) @ X4) @ P8)) & (((((strong2129052853vative @ P8) @ Q6) @ A6) @ X4) @ Rel2))))))) & (! [Alpha3:late_freeRes,Q6:pi]: ((((late_transitions @ Q5) @ ((late_FreeR @ Alpha3) @ Q6)) => (? [P8:pi]: ((((late_transitions @ P7) @ ((late_FreeR @ Alpha3) @ P8)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P8) @ Q6)) @ Rel2)))))))))))).
% 2.45/1.49 thf(fact_116_tauBoundTrans, axiom, (! [P:pi,A2:late_subject,X2:name,P3:pi]: ((~ (((late_transitions @ (tau @ P)) @ (((late_BoundR @ A2) @ X2) @ P3))))))).
% 2.45/1.49 thf(fact_117_resZeroTrans, axiom, (! [X2:name,Rs:late_residual]: ((~ (((late_transitions @ ((res @ X2) @ piNil)) @ Rs)))))).
% 2.45/1.49 thf(fact_118_residual_Ostrong__induct, axiom, (! [N:$tType]: (((fs_name @ N) => (! [P:(N > (late_residual > $o)),Z:N,Residual:late_residual]: (((! [Subject2:late_subject,Name4:name,Pi4:pi,Z2:N]: ((((((fresh @ name) @ N) @ Name4) @ Z2) => (((((fresh @ name) @ late_subject) @ Name4) @ Subject2) => ((P @ Z2) @ (((late_BoundR @ Subject2) @ Name4) @ Pi4)))))) => ((! [FreeRes2:late_freeRes,Pi4:pi,Z2:N]: (((P @ Z2) @ ((late_FreeR @ FreeRes2) @ Pi4)))) => ((P @ Z) @ Residual))))))))).
% 2.45/1.49 thf(fact_119_residual_Ostrong__inducts, axiom, (! [A:$tType]: (((fs_name @ A) => (! [P:(A > (late_residual > $o)),Z:A,Residual:late_residual]: (((! [Subject2:late_subject,Name4:name,Pi4:pi,Z2:A]: ((((((fresh @ name) @ A) @ Name4) @ Z2) => (((((fresh @ name) @ late_subject) @ Name4) @ Subject2) => ((P @ Z2) @ (((late_BoundR @ Subject2) @ Name4) @ Pi4)))))) => ((! [FreeRes2:late_freeRes,Pi4:pi,Z2:A]: (((P @ Z2) @ ((late_FreeR @ FreeRes2) @ Pi4)))) => ((P @ Z) @ Residual))))))))).
% 2.45/1.49 thf(fact_120_resSimCases, axiom, (! [A:$tType]: (((fs_name @ A) => (! [Rel:(set @ ((product_prod @ pi) @ pi)),Q:pi,X2:name,P:pi,C4:A]: ((((eqvt @ pi) @ Rel) => ((! [Q2:pi,A4:name]: ((((late_transitions @ Q) @ ((late_FreeR @ ((late_OutputR @ A4) @ X2)) @ Q2)) => ((A4 != X2) => (? [P6:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_BoundOutputS @ A4)) @ X2) @ P6)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P6) @ Q2)) @ Rel)))))))) => ((! [Q2:pi,A4:late_subject,Y3:name]: ((((late_transitions @ Q) @ (((late_BoundR @ A4) @ Y3) @ Q2)) => (((((fresh @ name) @ late_subject) @ X2) @ A4) => ((X2 != Y3) => (((((fresh @ name) @ A) @ Y3) @ C4) => (? [P6:pi]: ((((late_transitions @ P) @ (((late_BoundR @ A4) @ Y3) @ P6)) & (((((strong2129052853vative @ P6) @ ((res @ X2) @ Q2)) @ A4) @ Y3) @ Rel)))))))))) => ((! [Q2:pi,Alpha:late_freeRes]: ((((late_transitions @ Q) @ ((late_FreeR @ Alpha) @ Q2)) => (((((fresh @ name) @ late_freeRes) @ X2) @ Alpha) => (? [P6:pi]: ((((late_transitions @ P) @ ((late_FreeR @ Alpha) @ P6)) & (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ P6) @ ((res @ X2) @ Q2))) @ Rel)))))))) => (((strong743114133lation @ P) @ Rel) @ ((res @ X2) @ Q)))))))))))).
% 2.45/1.49 thf(fact_121_resInputBoundOutputTrans, axiom, (! [X2:name,A2:name,Y:name,P:pi,B2:name,Z:name,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (((input @ A2) @ Y) @ P))) @ (((late_BoundR @ (late_BoundOutputS @ B2)) @ Z) @ P3))))))).
% 2.45/1.49 thf(fact_122_resTauOutputTrans, axiom, (! [X2:name,P:pi,A2:name,B2:name,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (tau @ P))) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P3))))))).
% 2.45/1.49 thf(fact_123_residual_Ofresh_I1_J, axiom, (! [A2:name,X32:late_subject,X1:name,X22:pi]: ((((((fresh @ name) @ late_residual) @ A2) @ (((late_BoundR @ X32) @ X1) @ X22)) = (((((fresh @ name) @ late_subject) @ A2) @ X32) & ((((fresh @ name) @ (name > (noption @ pi))) @ A2) @ ((((abs_fun @ name) @ pi) @ X1) @ X22))))))).
% 2.45/1.49 thf(fact_124_Tau, axiom, (! [P:pi]: (((late_transitions @ (tau @ P)) @ ((late_FreeR @ late_TauR) @ P))))).
% 2.45/1.49 thf(fact_125_tauCases_H, axiom, (! [P:pi,Rs:late_residual]: ((((late_transitions @ (tau @ P)) @ Rs) => (~ ((! [P5:pi]: ((((tau @ P) = (tau @ P5)) => (Rs != ((late_FreeR @ late_TauR) @ P5))))))))))).
% 2.45/1.49 thf(fact_126_Late__Semantics_OfreeRes_Oinject, axiom, (! [X22:name,X1:name,Y2:name,Y1:name]: (((((late_OutputR @ X22) @ X1) = ((late_OutputR @ Y2) @ Y1)) = ((X22 = Y2) & (X1 = Y1)))))).
% 2.45/1.49 thf(fact_127_Late__Semantics_Osubject_Oinject_I2_J, axiom, (! [X1:name,Y1:name]: ((((late_BoundOutputS @ X1) = (late_BoundOutputS @ Y1)) = (X1 = Y1))))).
% 2.45/1.49 thf(fact_128_subject_Ofresh_I2_J, axiom, (! [A2:name,X1:name]: ((((((fresh @ name) @ late_subject) @ A2) @ (late_BoundOutputS @ X1)) = ((((fresh @ name) @ name) @ A2) @ X1))))).
% 2.45/1.49 thf(fact_129_freeRes_Ofresh_I1_J, axiom, (! [A2:name,X22:name,X1:name]: ((((((fresh @ name) @ late_freeRes) @ A2) @ ((late_OutputR @ X22) @ X1)) = (((((fresh @ name) @ name) @ A2) @ X22) & ((((fresh @ name) @ name) @ A2) @ X1)))))).
% 2.45/1.49 thf(fact_130_freeRes_Ofresh_I2_J, axiom, (! [A2:name]: (((((fresh @ name) @ late_freeRes) @ A2) @ late_TauR)))).
% 2.45/1.49 thf(fact_131_pi_Ofresh_I9_J, axiom, (! [A2:name,X1:name,X22:pi]: ((((((fresh @ name) @ pi) @ A2) @ ((res @ X1) @ X22)) = ((((fresh @ name) @ (name > (noption @ pi))) @ A2) @ ((((abs_fun @ name) @ pi) @ X1) @ X22)))))).
% 2.45/1.49 thf(fact_132_pi_Ofresh_I4_J, axiom, (! [A2:name,X32:name,X1:name,X22:pi]: ((((((fresh @ name) @ pi) @ A2) @ (((input @ X32) @ X1) @ X22)) = (((((fresh @ name) @ name) @ A2) @ X32) & ((((fresh @ name) @ (name > (noption @ pi))) @ A2) @ ((((abs_fun @ name) @ pi) @ X1) @ X22))))))).
% 2.45/1.49 thf(fact_133_Late__Semantics_OfreeRes_Odistinct_I1_J, axiom, (! [Name12:name,Name22:name]: ((((late_OutputR @ Name12) @ Name22) != late_TauR)))).
% 2.45/1.49 thf(fact_134_abs__fun__eq1, axiom, (! [X:$tType,A:$tType,A2:X,X2:A,Y:A]: (((((((abs_fun @ X) @ A) @ A2) @ X2) = ((((abs_fun @ X) @ A) @ A2) @ Y)) = (X2 = Y))))).
% 2.45/1.49 thf(fact_135_freeRes_Oinducts, axiom, (! [P:(late_freeRes > $o),FreeRes3:late_freeRes]: (((! [Name13:name,Name23:name]: ((P @ ((late_OutputR @ Name13) @ Name23)))) => ((P @ late_TauR) => (P @ FreeRes3)))))).
% 2.45/1.49 thf(fact_136_freeRes_Ostrong__induct_H, axiom, (! [N:$tType,P:(N > (late_freeRes > $o)),Z:N,FreeRes3:late_freeRes]: (((! [Name13:name,Name23:name,Z2:N]: (((P @ Z2) @ ((late_OutputR @ Name13) @ Name23)))) => ((! [Z2:N]: (((P @ Z2) @ late_TauR))) => ((P @ Z) @ FreeRes3)))))).
% 2.45/1.49 thf(fact_137_freeRes_Ostrong__inducts, axiom, (! [A:$tType,P:(A > (late_freeRes > $o)),Z:A,FreeRes3:late_freeRes]: (((! [Name13:name,Name23:name,Z2:A]: (((P @ Z2) @ ((late_OutputR @ Name13) @ Name23)))) => ((! [Z2:A]: (((P @ Z2) @ late_TauR))) => ((P @ Z) @ FreeRes3)))))).
% 2.45/1.49 thf(fact_138_pi_Oinject_I8_J, axiom, (! [X1:name,X22:pi,Y1:name,Y2:pi]: (((((res @ X1) @ X22) = ((res @ Y1) @ Y2)) = (((((abs_fun @ name) @ pi) @ X1) @ X22) = ((((abs_fun @ name) @ pi) @ Y1) @ Y2)))))).
% 2.45/1.49 thf(fact_139_residual_Oinject_I1_J, axiom, (! [X32:late_subject,X1:name,X22:pi,Y32:late_subject,Y1:name,Y2:pi]: ((((((late_BoundR @ X32) @ X1) @ X22) = (((late_BoundR @ Y32) @ Y1) @ Y2)) = ((X32 = Y32) & (((((abs_fun @ name) @ pi) @ X1) @ X22) = ((((abs_fun @ name) @ pi) @ Y1) @ Y2))))))).
% 2.45/1.49 thf(fact_140_name__fresh__abs, axiom, (! [A:$tType]: (((fs_name @ A) => (! [B2:name,A2:name,X2:A]: ((((((fresh @ name) @ (name > (noption @ A))) @ B2) @ ((((abs_fun @ name) @ A) @ A2) @ X2)) = ((B2 = A2) | ((((fresh @ name) @ A) @ B2) @ X2))))))))).
% 2.45/1.49 thf(fact_141_abs__fresh_I1_J, axiom, (! [X5:$tType]: (((fs_name @ X5) => (! [B2:name,A2:name,X2:X5]: ((((((fresh @ name) @ (name > (noption @ X5))) @ B2) @ ((((abs_fun @ name) @ X5) @ A2) @ X2)) = ((B2 = A2) | ((((fresh @ name) @ X5) @ B2) @ X2))))))))).
% 2.45/1.49 thf(fact_142_pi_Oinject_I3_J, axiom, (! [X32:name,X1:name,X22:pi,Y32:name,Y1:name,Y2:pi]: ((((((input @ X32) @ X1) @ X22) = (((input @ Y32) @ Y1) @ Y2)) = ((X32 = Y32) & (((((abs_fun @ name) @ pi) @ X1) @ X22) = ((((abs_fun @ name) @ pi) @ Y1) @ Y2))))))).
% 2.45/1.49 thf(fact_143_Open, axiom, (! [P:pi,A2:name,B2:name,P3:pi]: ((((late_transitions @ P) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P3)) => ((A2 != B2) => ((late_transitions @ ((res @ B2) @ P)) @ (((late_BoundR @ (late_BoundOutputS @ A2)) @ B2) @ P3))))))).
% 2.45/1.49 thf(fact_144_resCases_H, axiom, (! [X2:name,P:pi,Rs:late_residual]: ((((late_transitions @ ((res @ X2) @ P)) @ Rs) => ((! [P5:pi,A4:name,B4:name]: (((((res @ X2) @ P) = ((res @ B4) @ P5)) => (! [P4:pi]: (((Rs = (((late_BoundR @ (late_BoundOutputS @ A4)) @ B4) @ P4)) => (((late_transitions @ P5) @ ((late_FreeR @ ((late_OutputR @ A4) @ B4)) @ P4)) => (A4 = B4)))))))) => ((! [P5:pi,A4:late_subject,X3:name,P4:pi,Y3:name]: (((((res @ X2) @ P) = ((res @ Y3) @ P5)) => ((Rs = (((late_BoundR @ A4) @ X3) @ ((res @ Y3) @ P4))) => (((late_transitions @ P5) @ (((late_BoundR @ A4) @ X3) @ P4)) => (((((fresh @ name) @ late_subject) @ Y3) @ A4) => ((Y3 != X3) => (((((fresh @ name) @ pi) @ X3) @ P5) => (~ (((((fresh @ name) @ late_subject) @ X3) @ A4))))))))))) => (~ ((! [P5:pi,Alpha:late_freeRes,P4:pi,Y3:name]: (((((res @ X2) @ P) = ((res @ Y3) @ P5)) => ((Rs = ((late_FreeR @ Alpha) @ ((res @ Y3) @ P4))) => (((late_transitions @ P5) @ ((late_FreeR @ Alpha) @ P4)) => (~ (((((fresh @ name) @ late_freeRes) @ Y3) @ Alpha)))))))))))))))).
% 2.45/1.49 thf(fact_145_resCasesB_H, axiom, (! [X6:name,P:pi,A2:late_subject,Y4:name,P3:pi]: ((((late_transitions @ ((res @ X6) @ P)) @ (((late_BoundR @ A2) @ Y4) @ P3)) => ((! [P5:pi,A4:name,B4:name]: (((((res @ X6) @ P) = ((res @ B4) @ P5)) => (! [P4:pi]: ((((((late_BoundR @ A2) @ Y4) @ P3) = (((late_BoundR @ (late_BoundOutputS @ A4)) @ B4) @ P4)) => (((late_transitions @ P5) @ ((late_FreeR @ ((late_OutputR @ A4) @ B4)) @ P4)) => (A4 = B4)))))))) => (~ ((! [P5:pi,A4:late_subject,X3:name,P4:pi,Y3:name]: (((((res @ X6) @ P) = ((res @ Y3) @ P5)) => (((((late_BoundR @ A2) @ Y4) @ P3) = (((late_BoundR @ A4) @ X3) @ ((res @ Y3) @ P4))) => (((late_transitions @ P5) @ (((late_BoundR @ A4) @ X3) @ P4)) => (((((fresh @ name) @ late_subject) @ Y3) @ A4) => ((Y3 != X3) => (((((fresh @ name) @ pi) @ X3) @ P5) => (~ (((((fresh @ name) @ late_subject) @ X3) @ A4)))))))))))))))))).
% 2.45/1.49 thf(fact_146_tauOutputTrans, axiom, (! [P:pi,A2:name,B2:name,P3:pi]: ((~ (((late_transitions @ (tau @ P)) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P3))))))).
% 2.45/1.49 thf(fact_147_inputBoundOutputTrans, axiom, (! [A2:name,X2:name,P:pi,B2:name,Y:name,P3:pi]: ((~ (((late_transitions @ (((input @ A2) @ X2) @ P)) @ (((late_BoundR @ (late_BoundOutputS @ B2)) @ Y) @ P3))))))).
% 2.45/1.49 thf(fact_148_tauCases, axiom, (! [P:pi,Alpha2:late_freeRes,P3:pi,Prop:(late_freeRes > (pi > $o))]: ((((late_transitions @ (tau @ P)) @ ((late_FreeR @ Alpha2) @ P3)) => (((Alpha2 = late_TauR) => ((P = P3) => ((Prop @ late_TauR) @ P))) => ((Prop @ Alpha2) @ P3)))))).
% 2.45/1.49 thf(fact_149_transitions_OClose2, axiom, (! [P:pi,A2:name,Y:name,P3:pi,Q:pi,X2:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_BoundOutputS @ A2)) @ Y) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => (((((fresh @ name) @ pi) @ Y) @ P) => (((((fresh @ name) @ pi) @ Y) @ Q) => ((X2 != A2) => (((((fresh @ name) @ pi) @ X2) @ P3) => ((Y != A2) => (((((fresh @ name) @ pi) @ Y) @ Q3) => ((X2 != Y) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((res @ Y) @ ((par @ P3) @ (((subs @ Q3) @ X2) @ Y))))))))))))))))))).
% 2.45/1.49 thf(fact_150_transitions_OClose1, axiom, (! [P:pi,A2:name,X2:name,P3:pi,Q:pi,Y:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_BoundOutputS @ A2)) @ Y) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => (((((fresh @ name) @ pi) @ Y) @ P) => (((((fresh @ name) @ pi) @ Y) @ Q) => ((X2 != A2) => (((((fresh @ name) @ pi) @ X2) @ Q3) => ((Y != A2) => (((((fresh @ name) @ pi) @ Y) @ P3) => ((X2 != Y) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((res @ Y) @ ((par @ (((subs @ P3) @ X2) @ Y)) @ Q3)))))))))))))))))).
% 2.45/1.49 thf(fact_151_Late__Semantics_OClose2, axiom, (! [P:pi,A2:name,Y:name,P3:pi,Q:pi,X2:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_BoundOutputS @ A2)) @ Y) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ Y) @ Q) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((res @ Y) @ ((par @ P3) @ (((subs @ Q3) @ X2) @ Y))))))))))).
% 2.45/1.49 thf(fact_152_Late__Semantics_OClose1, axiom, (! [P:pi,A2:name,X2:name,P3:pi,Q:pi,Y:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_BoundOutputS @ A2)) @ Y) @ Q3)) => (((((fresh @ name) @ pi) @ Y) @ P) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((res @ Y) @ ((par @ (((subs @ P3) @ X2) @ Y)) @ Q3)))))))))).
% 2.45/1.49 thf(fact_153_name__fresh, axiom, (((fresh @ name) @ name) = (^ [A6:name,B5:name]: ((A6 != B5))))).
% 2.45/1.49 thf(fact_154_subject_Ofresh_I1_J, axiom, (! [A2:name,X1:name]: ((((((fresh @ name) @ late_subject) @ A2) @ (late_InputS @ X1)) = ((((fresh @ name) @ name) @ A2) @ X1))))).
% 2.45/1.49 thf(fact_155_subject_Ostrong__inducts, axiom, (! [A:$tType,P:(A > (late_subject > $o)),Z:A,Subject:late_subject]: (((! [Name4:name,Z2:A]: (((P @ Z2) @ (late_InputS @ Name4)))) => ((! [Name4:name,Z2:A]: (((P @ Z2) @ (late_BoundOutputS @ Name4)))) => ((P @ Z) @ Subject)))))).
% 2.45/1.49 thf(fact_156_subject_Ostrong__induct_H, axiom, (! [N:$tType,P:(N > (late_subject > $o)),Z:N,Subject:late_subject]: (((! [Name4:name,Z2:N]: (((P @ Z2) @ (late_InputS @ Name4)))) => ((! [Name4:name,Z2:N]: (((P @ Z2) @ (late_BoundOutputS @ Name4)))) => ((P @ Z) @ Subject)))))).
% 2.45/1.49 thf(fact_157_subject_Oinducts, axiom, (! [P:(late_subject > $o),Subject:late_subject]: (((! [Name4:name]: ((P @ (late_InputS @ Name4)))) => ((! [Name4:name]: ((P @ (late_BoundOutputS @ Name4)))) => (P @ Subject)))))).
% 2.45/1.49 thf(fact_158_Late__Semantics_Osubject_Odistinct_I1_J, axiom, (! [Name3:name,Name:name]: (((late_InputS @ Name3) != (late_BoundOutputS @ Name))))).
% 2.45/1.49 thf(fact_159_Late__Semantics_OInput, axiom, (! [A2:name,X2:name,P:pi]: (((late_transitions @ (((input @ A2) @ X2) @ P)) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P))))).
% 2.45/1.49 thf(fact_160_transitions_OInput, axiom, (! [X2:name,A2:name,P:pi]: (((X2 != A2) => ((late_transitions @ (((input @ A2) @ X2) @ P)) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P)))))).
% 2.45/1.49 thf(fact_161_inputCases_H, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual]: ((((late_transitions @ (((input @ A2) @ B2) @ P)) @ Rs) => (~ ((! [X3:name,A4:name,P5:pi]: ((((A2 = A4) & (((((abs_fun @ name) @ pi) @ B2) @ P) = ((((abs_fun @ name) @ pi) @ X3) @ P5))) => ((Rs = (((late_BoundR @ (late_InputS @ A4)) @ X3) @ P5)) => (X3 = A4))))))))))).
% 2.45/1.49 thf(fact_162_Late__Semantics_OComm1, axiom, (! [P:pi,A2:name,X2:name,P3:pi,Q:pi,B2:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P3)) => (((late_transitions @ Q) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ Q3)) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((par @ (((subs @ P3) @ X2) @ B2)) @ Q3)))))))).
% 2.45/1.49 thf(fact_163_Late__Semantics_OComm2, axiom, (! [P:pi,A2:name,B2:name,P3:pi,Q:pi,X2:name,Q3:pi]: ((((late_transitions @ P) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ Q3)) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((par @ P3) @ (((subs @ Q3) @ X2) @ B2))))))))).
% 2.45/1.49 thf(fact_164_transitions_OComm2, axiom, (! [P:pi,A2:name,B2:name,P3:pi,Q:pi,X2:name,Q3:pi]: ((((late_transitions @ P) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P3)) => (((late_transitions @ Q) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => ((X2 != A2) => ((X2 != B2) => (((((fresh @ name) @ pi) @ X2) @ P3) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((par @ P3) @ (((subs @ Q3) @ X2) @ B2)))))))))))))).
% 2.45/1.49 thf(fact_165_transitions_OComm1, axiom, (! [P:pi,A2:name,X2:name,P3:pi,Q:pi,B2:name,Q3:pi]: ((((late_transitions @ P) @ (((late_BoundR @ (late_InputS @ A2)) @ X2) @ P3)) => (((late_transitions @ Q) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ Q3)) => (((((fresh @ name) @ pi) @ X2) @ P) => (((((fresh @ name) @ pi) @ X2) @ Q) => ((X2 != A2) => ((X2 != B2) => (((((fresh @ name) @ pi) @ X2) @ Q3) => ((late_transitions @ ((par @ P) @ Q)) @ ((late_FreeR @ late_TauR) @ ((par @ (((subs @ P3) @ X2) @ B2)) @ Q3))))))))))))).
% 2.45/1.49 thf(fact_166_Late__Semantics1_Osubject_Oinject_I1_J, axiom, (! [X1:name,Y1:name]: ((((late_InputS @ X1) = (late_InputS @ Y1)) = (X1 = Y1))))).
% 2.45/1.49 thf(fact_167_Late__Semantics1_Osubject_Oinject_I2_J, axiom, (! [X22:name,Y2:name]: ((((late_BoundOutputS @ X22) = (late_BoundOutputS @ Y2)) = (X22 = Y2))))).
% 2.45/1.49 thf(fact_168_Late__Semantics1_OfreeRes_Oinject, axiom, (! [X11:name,X12:name,Y11:name,Y12:name]: (((((late_OutputR @ X11) @ X12) = ((late_OutputR @ Y11) @ Y12)) = ((X11 = Y11) & (X12 = Y12)))))).
% 2.45/1.49 thf(fact_169_freeRes_Oexhaust, axiom, (! [Y:late_freeRes]: (((! [X112:name,X122:name]: ((Y != ((late_OutputR @ X112) @ X122)))) => (Y = late_TauR))))).
% 2.45/1.49 thf(fact_170_Late__Semantics1_OfreeRes_Odistinct_I1_J, axiom, (! [X11:name,X12:name]: ((((late_OutputR @ X11) @ X12) != late_TauR)))).
% 2.45/1.49 thf(fact_171_Late__Semantics1_Osubject_Odistinct_I1_J, axiom, (! [X1:name,X22:name]: (((late_InputS @ X1) != (late_BoundOutputS @ X22))))).
% 2.45/1.49 thf(fact_172_subject_Oexhaust, axiom, (! [Y:late_subject]: (((! [X13:name]: ((Y != (late_InputS @ X13)))) => (~ ((! [X23:name]: ((Y != (late_BoundOutputS @ X23)))))))))).
% 2.45/1.49 thf(fact_173_freeRes_Orecs_I2_J, axiom, (! [T:$tType,P:(T > $o),F1:(name > (name > T)),F22:T]: (((! [X13:name,X23:name]: ((P @ ((F1 @ X13) @ X23)))) => ((P @ F22) => (((((late_freeRes_rec @ T) @ F1) @ F22) @ late_TauR) = F22)))))).
% 2.45/1.49 thf(fact_174_subject_Orecs_I2_J, axiom, (! [T:$tType,P:(T > $o),F1:(name > T),F22:(name > T),Name3:name]: (((! [X13:name]: ((P @ (F1 @ X13)))) => ((! [X13:name]: ((P @ (F22 @ X13)))) => (((((late_subject_rec @ T) @ F1) @ F22) @ (late_BoundOutputS @ Name3)) = (F22 @ Name3))))))).
% 2.45/1.49 thf(fact_175_subject_Orecs_I1_J, axiom, (! [T:$tType,P:(T > $o),F1:(name > T),F22:(name > T),Name3:name]: (((! [X13:name]: ((P @ (F1 @ X13)))) => ((! [X13:name]: ((P @ (F22 @ X13)))) => (((((late_subject_rec @ T) @ F1) @ F22) @ (late_InputS @ Name3)) = (F1 @ Name3))))))).
% 2.45/1.49 thf(fact_176_freeRes_Orecs_I1_J, axiom, (! [T:$tType,P:(T > $o),F1:(name > (name > T)),F22:T,Name12:name,Name22:name]: (((! [X13:name,X23:name]: ((P @ ((F1 @ X13) @ X23)))) => ((P @ F22) => (((((late_freeRes_rec @ T) @ F1) @ F22) @ ((late_OutputR @ Name12) @ Name22)) = ((F1 @ Name12) @ Name22))))))).
% 2.45/1.49 thf(fact_177_resOutputTauTrans, axiom, (! [X2:name,A2:name,B2:name,P:pi,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (((output @ A2) @ B2) @ P))) @ ((late_FreeR @ late_TauR) @ P3))))))).
% 2.45/1.49 thf(fact_178_resOutputInputTrans, axiom, (! [X2:name,A2:name,B2:name,P:pi,C2:name,Y:name,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (((output @ A2) @ B2) @ P))) @ (((late_BoundR @ (late_InputS @ C2)) @ Y) @ P3))))))).
% 2.45/1.49 thf(fact_179_resOutputOutputTrans, axiom, (! [X2:name,A2:name,P:pi,B2:name,Y:name,P3:pi]: ((~ (((late_transitions @ ((res @ X2) @ (((output @ A2) @ X2) @ P))) @ ((late_FreeR @ ((late_OutputR @ B2) @ Y)) @ P3))))))).
% 2.45/1.49 thf(fact_180_pi_Ofresh_I2_J, axiom, (! [A2:name,X32:name,X22:name,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ (((output @ X32) @ X22) @ X1)) = (((((fresh @ name) @ name) @ A2) @ X32) & (((((fresh @ name) @ name) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1))))))).
% 2.45/1.49 thf(fact_181_pi_Odistinct_I31_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name:name,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_182_pi_Odistinct_I29_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((output @ Name12) @ Name22) @ Pi3) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_183_pi_Odistinct_I21_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != (((input @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_184_pi_Odistinct_I1_J, axiom, (! [Name1:name,Name2:name,Pi:pi]: ((piNil != (((output @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_185_pi_Odistinct_I19_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != (tau @ Pi))))).
% 2.45/1.49 thf(fact_186_pi_Oinject_I1_J, axiom, (! [X32:name,X22:name,X1:pi,Y32:name,Y2:name,Y1:pi]: ((((((output @ X32) @ X22) @ X1) = (((output @ Y32) @ Y2) @ Y1)) = ((X32 = Y32) & ((X22 = Y2) & (X1 = Y1))))))).
% 2.45/1.49 thf(fact_187_resTrans_I1_J, axiom, (! [X2:name,B2:name,P:pi,Rs:late_residual]: ((~ (((late_transitions @ ((res @ X2) @ (((output @ X2) @ B2) @ P))) @ Rs)))))).
% 2.45/1.49 thf(fact_188_outputBoundTrans, axiom, (! [A2:name,B2:name,P:pi,C2:late_subject,X2:name,P3:pi]: ((~ (((late_transitions @ (((output @ A2) @ B2) @ P)) @ (((late_BoundR @ C2) @ X2) @ P3))))))).
% 2.45/1.49 thf(fact_189_nilSim_I3_J, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),A2:name,B2:name,P:pi]: ((~ ((((strong743114133lation @ piNil) @ Rel) @ (((output @ A2) @ B2) @ P))))))).
% 2.45/1.49 thf(fact_190_outputCases, axiom, (! [A2:name,B2:name,P:pi,Alpha2:late_freeRes,P3:pi,Prop:(late_freeRes > (pi > $o))]: ((((late_transitions @ (((output @ A2) @ B2) @ P)) @ ((late_FreeR @ Alpha2) @ P3)) => (((Alpha2 = ((late_OutputR @ A2) @ B2)) => ((P = P3) => ((Prop @ ((late_OutputR @ A2) @ B2)) @ P))) => ((Prop @ Alpha2) @ P3)))))).
% 2.45/1.49 thf(fact_191_outputCases_H, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual]: ((((late_transitions @ (((output @ A2) @ B2) @ P)) @ Rs) => (~ ((! [A4:name,B4:name,P5:pi]: ((((A2 = A4) & ((B2 = B4) & (P = P5))) => (Rs != ((late_FreeR @ ((late_OutputR @ A4) @ B4)) @ P5))))))))))).
% 2.45/1.49 thf(fact_192_outputIneqTrans, axiom, (! [A2:name,B2:name,P:pi,C2:name,D:name,P3:pi]: ((((late_transitions @ (((output @ A2) @ B2) @ P)) @ ((late_FreeR @ ((late_OutputR @ C2) @ D)) @ P3)) => (~ (((A2 != C2) | (B2 != D)))))))).
% 2.45/1.49 thf(fact_193_Output, axiom, (! [A2:name,B2:name,P:pi]: (((late_transitions @ (((output @ A2) @ B2) @ P)) @ ((late_FreeR @ ((late_OutputR @ A2) @ B2)) @ P))))).
% 2.45/1.49 thf(fact_194_outputTauTrans, axiom, (! [A2:name,B2:name,P:pi,P3:pi]: ((~ (((late_transitions @ (((output @ A2) @ B2) @ P)) @ ((late_FreeR @ late_TauR) @ P3))))))).
% 2.45/1.49 thf(fact_195_outputFreshTrans, axiom, (! [A2:name,B2:name,P:pi,Alpha2:late_freeRes,P3:pi]: ((((late_transitions @ (((output @ A2) @ B2) @ P)) @ ((late_FreeR @ Alpha2) @ P3)) => (~ ((((((fresh @ name) @ late_freeRes) @ A2) @ Alpha2) | ((((fresh @ name) @ late_freeRes) @ B2) @ Alpha2)))))))).
% 2.45/1.49 thf(fact_196_simps_I3_J, axiom, (! [A2:name,B2:name,P:pi,C2:name,D:name]: (((((subs @ (((output @ A2) @ B2) @ P)) @ C2) @ D) = (((output @ (((subst_name @ A2) @ C2) @ D)) @ (((subst_name @ B2) @ C2) @ D)) @ (((subs @ P) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_197_simps_I4_J, axiom, (! [X2:name,A2:name,C2:name,D:name,P:pi]: (((X2 != A2) => ((X2 != C2) => ((X2 != D) => ((((subs @ (((input @ A2) @ X2) @ P)) @ C2) @ D) = (((input @ (((subst_name @ A2) @ C2) @ D)) @ X2) @ (((subs @ P) @ C2) @ D))))))))).
% 2.45/1.49 thf(fact_198_substInput, axiom, (! [X2:name,B2:name,C2:name,A2:name,P:pi]: (((X2 != B2) => ((X2 != C2) => ((((subs @ (((input @ A2) @ X2) @ P)) @ B2) @ C2) = (((input @ (((subst_name @ A2) @ B2) @ C2)) @ X2) @ (((subs @ P) @ B2) @ C2)))))))).
% 2.45/1.49 thf(fact_199_subst__name__def, axiom, (subst_name = (^ [A6:name,B5:name,C5:name]: (((((if @ name) @ (A6 = B5)) @ C5) @ A6))))).
% 2.45/1.49 thf(fact_200_simps_I6_J, axiom, (! [A2:name,B2:name,P:pi,C2:name,D:name]: (((((subs @ (((mismatch @ A2) @ B2) @ P)) @ C2) @ D) = (((mismatch @ (((subst_name @ A2) @ C2) @ D)) @ (((subst_name @ B2) @ C2) @ D)) @ (((subs @ P) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_201_simps_I5_J, axiom, (! [A2:name,B2:name,P:pi,C2:name,D:name]: (((((subs @ (((match @ A2) @ B2) @ P)) @ C2) @ D) = (((match @ (((subst_name @ A2) @ C2) @ D)) @ (((subst_name @ B2) @ C2) @ D)) @ (((subs @ P) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_202_pi_Ofresh_I5_J, axiom, (! [A2:name,X32:name,X22:name,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ (((match @ X32) @ X22) @ X1)) = (((((fresh @ name) @ name) @ A2) @ X32) & (((((fresh @ name) @ name) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1))))))).
% 2.45/1.49 thf(fact_203_pi_Ofresh_I6_J, axiom, (! [A2:name,X32:name,X22:name,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ (((mismatch @ X32) @ X22) @ X1)) = (((((fresh @ name) @ name) @ A2) @ X32) & (((((fresh @ name) @ name) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1))))))).
% 2.45/1.49 thf(fact_204_matchCases, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual,F3:(name > (name > $o))]: ((((late_transitions @ (((match @ A2) @ B2) @ P)) @ Rs) => ((((late_transitions @ P) @ Rs) => ((A2 = B2) => ((F3 @ A2) @ A2))) => ((F3 @ A2) @ B2)))))).
% 2.45/1.49 thf(fact_205_matchTrans, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual]: ((((late_transitions @ (((match @ A2) @ B2) @ P)) @ Rs) => (A2 = B2))))).
% 2.45/1.49 thf(fact_206_matchCases_H, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual]: ((((late_transitions @ (((match @ A2) @ B2) @ P)) @ Rs) => (~ ((! [P5:pi]: ((((B2 = A2) & (P = P5)) => (~ (((late_transitions @ P5) @ Rs)))))))))))).
% 2.45/1.49 thf(fact_207_mismatchCases, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual,F3:(name > (name > $o))]: ((((late_transitions @ (((mismatch @ A2) @ B2) @ P)) @ Rs) => ((((late_transitions @ P) @ Rs) => ((A2 != B2) => ((F3 @ A2) @ B2))) => ((F3 @ A2) @ B2)))))).
% 2.45/1.49 thf(fact_208_mismatchTrans, axiom, (! [A2:name,P:pi,Rs:late_residual]: ((~ (((late_transitions @ (((mismatch @ A2) @ A2) @ P)) @ Rs)))))).
% 2.45/1.49 thf(fact_209_mismatchCases_H, axiom, (! [A2:name,B2:name,P:pi,Rs:late_residual]: ((((late_transitions @ (((mismatch @ A2) @ B2) @ P)) @ Rs) => (~ ((! [P5:pi,A4:name,B4:name]: ((((A2 = A4) & ((B2 = B4) & (P = P5))) => (((late_transitions @ P5) @ Rs) => (A4 = B4))))))))))).
% 2.45/1.49 thf(fact_210_Match, axiom, (! [P:pi,Rs:late_residual,B2:name]: ((((late_transitions @ P) @ Rs) => ((late_transitions @ (((match @ B2) @ B2) @ P)) @ Rs))))).
% 2.45/1.49 thf(fact_211_Mismatch, axiom, (! [P:pi,Rs:late_residual,A2:name,B2:name]: ((((late_transitions @ P) @ Rs) => ((A2 != B2) => ((late_transitions @ (((mismatch @ A2) @ B2) @ P)) @ Rs)))))).
% 2.45/1.49 thf(fact_212_pi_Odistinct_I67_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name:name,Pi:pi]: (((((match @ Name12) @ Name22) @ Pi3) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_213_pi_Odistinct_I75_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name:name,Pi:pi]: (((((mismatch @ Name12) @ Name22) @ Pi3) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_214_pi_Odistinct_I65_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((match @ Name12) @ Name22) @ Pi3) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_215_pi_Odistinct_I73_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((mismatch @ Name12) @ Name22) @ Pi3) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_216_pi_Odistinct_I49_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((input @ Name12) @ Name22) @ Pi3) != (((match @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_217_pi_Odistinct_I51_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((input @ Name12) @ Name22) @ Pi3) != (((mismatch @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_218_pi_Odistinct_I7_J, axiom, (! [Name1:name,Name2:name,Pi:pi]: ((piNil != (((match @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_219_pi_Odistinct_I9_J, axiom, (! [Name1:name,Name2:name,Pi:pi]: ((piNil != (((mismatch @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_220_pi_Odistinct_I37_J, axiom, (! [Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((tau @ Pi3) != (((match @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_221_pi_Odistinct_I39_J, axiom, (! [Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((tau @ Pi3) != (((mismatch @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_222_pi_Oinject_I5_J, axiom, (! [X32:name,X22:name,X1:pi,Y32:name,Y2:name,Y1:pi]: ((((((mismatch @ X32) @ X22) @ X1) = (((mismatch @ Y32) @ Y2) @ Y1)) = ((X32 = Y32) & ((X22 = Y2) & (X1 = Y1))))))).
% 2.45/1.49 thf(fact_223_pi_Oinject_I4_J, axiom, (! [X32:name,X22:name,X1:pi,Y32:name,Y2:name,Y1:pi]: ((((((match @ X32) @ X22) @ X1) = (((match @ Y32) @ Y2) @ Y1)) = ((X32 = Y32) & ((X22 = Y2) & (X1 = Y1))))))).
% 2.45/1.49 thf(fact_224_pi_Odistinct_I61_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((match @ Name12) @ Name22) @ Pi3) != (((mismatch @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_225_pi_Odistinct_I23_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != (((match @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_226_pi_Odistinct_I25_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Name1:name,Name2:name,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != (((mismatch @ Name1) @ Name2) @ Pi))))).
% 2.45/1.49 thf(fact_227_matchNilLeft, axiom, (! [A2:name,B2:name,Rel:(set @ ((product_prod @ pi) @ pi)),P:pi]: (((A2 != B2) => (((strong743114133lation @ piNil) @ Rel) @ (((match @ A2) @ B2) @ P)))))).
% 2.45/1.49 thf(fact_228_mismatchNilLeft, axiom, (! [Rel:(set @ ((product_prod @ pi) @ pi)),A2:name,P:pi]: ((((strong743114133lation @ piNil) @ Rel) @ (((mismatch @ A2) @ A2) @ P))))).
% 2.45/1.49 thf(fact_229_pi_Ostrong__induct, axiom, (! [N:$tType]: (((fs_name @ N) => (! [P:(N > (pi > $o)),Z:N,Pi3:pi]: (((! [Z2:N]: (((P @ Z2) @ piNil))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((output @ Name13) @ Name23) @ Pi4))))) => ((! [Pi4:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (tau @ Pi4))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:N]: ((((((fresh @ name) @ N) @ Name23) @ Z2) => (((((fresh @ name) @ name) @ Name23) @ Name13) => ((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((input @ Name13) @ Name23) @ Pi4))))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((match @ Name13) @ Name23) @ Pi4))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((mismatch @ Name13) @ Name23) @ Pi4))))) => ((! [Pi13:pi,Pi23:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi13))) => ((! [Za:N]: (((P @ Za) @ Pi23))) => ((P @ Z2) @ ((sum @ Pi13) @ Pi23)))))) => ((! [Pi13:pi,Pi23:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi13))) => ((! [Za:N]: (((P @ Za) @ Pi23))) => ((P @ Z2) @ ((par @ Pi13) @ Pi23)))))) => ((! [Name4:name,Pi4:pi,Z2:N]: ((((((fresh @ name) @ N) @ Name4) @ Z2) => ((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ ((res @ Name4) @ Pi4)))))) => ((! [Pi4:pi,Z2:N]: (((! [Za:N]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (bang @ Pi4))))) => ((P @ Z) @ Pi3))))))))))))))))).
% 2.45/1.49 thf(fact_230_pi_Ostrong__inducts, axiom, (! [A:$tType]: (((fs_name @ A) => (! [P:(A > (pi > $o)),Z:A,Pi3:pi]: (((! [Z2:A]: (((P @ Z2) @ piNil))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((output @ Name13) @ Name23) @ Pi4))))) => ((! [Pi4:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (tau @ Pi4))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:A]: ((((((fresh @ name) @ A) @ Name23) @ Z2) => (((((fresh @ name) @ name) @ Name23) @ Name13) => ((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((input @ Name13) @ Name23) @ Pi4))))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((match @ Name13) @ Name23) @ Pi4))))) => ((! [Name13:name,Name23:name,Pi4:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (((mismatch @ Name13) @ Name23) @ Pi4))))) => ((! [Pi13:pi,Pi23:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi13))) => ((! [Za:A]: (((P @ Za) @ Pi23))) => ((P @ Z2) @ ((sum @ Pi13) @ Pi23)))))) => ((! [Pi13:pi,Pi23:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi13))) => ((! [Za:A]: (((P @ Za) @ Pi23))) => ((P @ Z2) @ ((par @ Pi13) @ Pi23)))))) => ((! [Name4:name,Pi4:pi,Z2:A]: ((((((fresh @ name) @ A) @ Name4) @ Z2) => ((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ ((res @ Name4) @ Pi4)))))) => ((! [Pi4:pi,Z2:A]: (((! [Za:A]: (((P @ Za) @ Pi4))) => ((P @ Z2) @ (bang @ Pi4))))) => ((P @ Z) @ Pi3))))))))))))))))).
% 2.45/1.49 thf(fact_231_pi_Ofresh_I10_J, axiom, (! [A2:name,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ (bang @ X1)) = ((((fresh @ name) @ pi) @ A2) @ X1))))).
% 2.45/1.49 thf(fact_232_pi_Ofresh_I7_J, axiom, (! [A2:name,X22:pi,X1:pi]: ((((((fresh @ name) @ pi) @ A2) @ ((sum @ X22) @ X1)) = (((((fresh @ name) @ pi) @ A2) @ X22) & ((((fresh @ name) @ pi) @ A2) @ X1)))))).
% 2.45/1.49 thf(fact_233_simps_I10_J, axiom, (! [P:pi,C2:name,D:name]: (((((subs @ (bang @ P)) @ C2) @ D) = (bang @ (((subs @ P) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_234_simps_I7_J, axiom, (! [P:pi,Q:pi,C2:name,D:name]: (((((subs @ ((sum @ P) @ Q)) @ C2) @ D) = ((sum @ (((subs @ P) @ C2) @ D)) @ (((subs @ Q) @ C2) @ D)))))).
% 2.45/1.49 thf(fact_235_pi_Odistinct_I77_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi:pi]: (((((mismatch @ Name12) @ Name22) @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_236_pi_Odistinct_I71_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((mismatch @ Name12) @ Name22) @ Pi3) != ((sum @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_237_pi_Odistinct_I69_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi:pi]: (((((match @ Name12) @ Name22) @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_238_pi_Odistinct_I63_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((match @ Name12) @ Name22) @ Pi3) != ((sum @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_239_pi_Odistinct_I33_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi:pi]: (((((output @ Name12) @ Name22) @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_240_pi_Odistinct_I27_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi12:pi,Pi22:pi]: (((((output @ Name12) @ Name22) @ Pi3) != ((sum @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_241_pi_Odistinct_I89_J, axiom, (! [Name3:name,Pi3:pi,Pi:pi]: ((((res @ Name3) @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_242_pi_Odistinct_I87_J, axiom, (! [Pi1:pi,Pi2:pi,Pi:pi]: ((((par @ Pi1) @ Pi2) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_243_pi_Odistinct_I59_J, axiom, (! [Name12:name,Name22:name,Pi3:pi,Pi:pi]: (((((input @ Name12) @ Name22) @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_244_pi_Odistinct_I17_J, axiom, (! [Pi:pi]: ((piNil != (bang @ Pi))))).
% 2.45/1.49 thf(fact_245_Sum2, axiom, (! [Q:pi,Rs:late_residual,P:pi]: ((((late_transitions @ Q) @ Rs) => ((late_transitions @ ((sum @ P) @ Q)) @ Rs))))).
% 2.45/1.49 thf(fact_246_Sum1, axiom, (! [P:pi,Rs:late_residual,Q:pi]: ((((late_transitions @ P) @ Rs) => ((late_transitions @ ((sum @ P) @ Q)) @ Rs))))).
% 2.45/1.49 thf(fact_247_sumCases_H, axiom, (! [P:pi,Q:pi,Rs:late_residual]: ((((late_transitions @ ((sum @ P) @ Q)) @ Rs) => ((~ (((late_transitions @ P) @ Rs))) => ((late_transitions @ Q) @ Rs)))))).
% 2.45/1.49 thf(fact_248_sumCases, axiom, (! [P:pi,Q:pi,Rs:late_residual]: ((((late_transitions @ ((sum @ P) @ Q)) @ Rs) => ((~ (((late_transitions @ P) @ Rs))) => ((late_transitions @ Q) @ Rs)))))).
% 2.45/1.49 thf(fact_249_pi_Odistinct_I47_J, axiom, (! [Pi3:pi,Pi:pi]: (((tau @ Pi3) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_250_pi_Odistinct_I81_J, axiom, (! [Pi1:pi,Pi2:pi,Name:name,Pi:pi]: ((((sum @ Pi1) @ Pi2) != ((res @ Name) @ Pi))))).
% 2.45/1.49 thf(fact_251_pi_Odistinct_I79_J, axiom, (! [Pi1:pi,Pi2:pi,Pi12:pi,Pi22:pi]: ((((sum @ Pi1) @ Pi2) != ((par @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(fact_252_pi_Odistinct_I83_J, axiom, (! [Pi1:pi,Pi2:pi,Pi:pi]: ((((sum @ Pi1) @ Pi2) != (bang @ Pi))))).
% 2.45/1.49 thf(fact_253_pi_Oinject_I6_J, axiom, (! [X22:pi,X1:pi,Y2:pi,Y1:pi]: (((((sum @ X22) @ X1) = ((sum @ Y2) @ Y1)) = ((X22 = Y2) & (X1 = Y1)))))).
% 2.45/1.49 thf(fact_254_pi_Oinject_I9_J, axiom, (! [X1:pi,Y1:pi]: ((((bang @ X1) = (bang @ Y1)) = (X1 = Y1))))).
% 2.45/1.49 thf(fact_255_pi_Odistinct_I41_J, axiom, (! [Pi3:pi,Pi12:pi,Pi22:pi]: (((tau @ Pi3) != ((sum @ Pi12) @ Pi22))))).
% 2.45/1.49 thf(tcon_Agent_Opi___Agent_Ofs__name, axiom, (fs_name @ pi)).
% 2.45/1.49 thf(tcon_HOL_Obool___Agent_Ofs__name_1, axiom, (fs_name @ $o)).
% 2.45/1.49 thf(tcon_Agent_Oname___Agent_Ofs__name_2, axiom, (fs_name @ name)).
% 2.45/1.49 thf(tcon_Product__Type_Oprod___Agent_Ofs__name_3, axiom, (! [A7:$tType,A8:$tType]: ((((fs_name @ A7) & (fs_name @ A8)) => (fs_name @ ((product_prod @ A7) @ A8)))))).
% 2.45/1.49 thf(tcon_Late__Semantics_OfreeRes___Agent_Ofs__name_4, axiom, (fs_name @ late_freeRes)).
% 2.45/1.49 thf(tcon_Late__Semantics_Osubject___Agent_Ofs__name_5, axiom, (fs_name @ late_subject)).
% 2.45/1.49 thf(tcon_Late__Semantics_Oresidual___Agent_Ofs__name_6, axiom, (fs_name @ late_residual)).
% 2.45/1.49 thf(help_If_3_1_T, axiom, (! [P:$o]: (((P = $true) | (P = $false))))).
% 2.45/1.49 thf(help_If_2_1_T, axiom, (! [A:$tType,X2:A,Y:A]: ((((((if @ A) @ $false) @ X2) @ Y) = Y)))).
% 2.45/1.49 thf(help_If_1_1_T, axiom, (! [A:$tType,X2:A,Y:A]: ((((((if @ A) @ $true) @ X2) @ Y) = X2)))).
% 2.45/1.49 thf(conj_0, conjecture, (((member @ ((product_prod @ pi) @ pi)) @ ((((product_Pair @ pi) @ pi) @ (((subs @ ((res @ x) @ ((par @ p2) @ q))) @ y) @ u)) @ ((par @ (((subs @ p2) @ y) @ u)) @ (((subs @ ((res @ x) @ q)) @ y) @ u)))) @ rel)).
% 2.45/1.49 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2DTF6827.p
% 2.45/1.49 ------------------------
% 2.66/1.52 ---- Cleaned THF ---
% 2.66/1.52 thf(ty_t_Late__Semantics_Oresidual,type,
% 2.66/1.52 late_residual: $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Late__Semantics_Osubject,type,
% 2.66/1.52 late_subject: $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Late__Semantics_OfreeRes,type,
% 2.66/1.52 late_freeRes: $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Product__Type_Oprod,type,
% 2.66/1.52 product_prod: $tType > $tType > $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Nominal_Onoption,type,
% 2.66/1.52 noption: $tType > $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Agent_Oname,type,
% 2.66/1.52 name: $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Agent_Opi,type,
% 2.66/1.52 pi: $tType ).
% 2.66/1.52
% 2.66/1.52 thf(ty_t_Set_Oset,type,
% 2.66/1.52 set: $tType > $tType ).
% 2.66/1.52
% 2.66/1.52 thf(sy_cl_Agent_Ofs__name,type,
% 2.66/1.52 fs_name:
% 2.66/1.52 !>[A: $tType] : $o ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OBang,type,
% 2.66/1.52 bang: pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OInput,type,
% 2.66/1.52 input: name > name > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OMatch,type,
% 2.66/1.52 match: name > name > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OMismatch,type,
% 2.66/1.52 mismatch: name > name > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OOutput,type,
% 2.66/1.52 output: name > name > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OPar,type,
% 2.66/1.52 par: pi > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OPiNil,type,
% 2.66/1.52 piNil: pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_ORes,type,
% 2.66/1.52 res: name > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OSum,type,
% 2.66/1.52 sum: pi > pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Opi_OTau,type,
% 2.66/1.52 tau: pi > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Osubs,type,
% 2.66/1.52 subs: pi > name > name > pi ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Agent_Osubst__name,type,
% 2.66/1.52 subst_name: name > name > name > name ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_If,type,
% 2.66/1.52 if:
% 2.66/1.52 !>[A: $tType] : ( $o > A > A > A ) ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_OfreeRes_OOutputR,type,
% 2.66/1.52 late_OutputR: name > name > late_freeRes ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_OfreeRes_OTauR,type,
% 2.66/1.52 late_TauR: late_freeRes ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_OfreeRes_OfreeRes__rec,type,
% 2.66/1.52 late_freeRes_rec:
% 2.66/1.52 !>[T: $tType] : ( ( name > name > T ) > T > late_freeRes > T ) ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_Oresidual_OBoundR,type,
% 2.66/1.52 late_BoundR: late_subject > name > pi > late_residual ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_Oresidual_OFreeR,type,
% 2.66/1.52 late_FreeR: late_freeRes > pi > late_residual ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_Osubject_OBoundOutputS,type,
% 2.66/1.52 late_BoundOutputS: name > late_subject ).
% 2.66/1.52
% 2.66/1.52 thf(sy_c_Late__Semantics_Osubject_OInputS,type,
% 2.66/1.53 late_InputS: name > late_subject ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Late__Semantics_Osubject_Osubject__rec,type,
% 2.66/1.53 late_subject_rec:
% 2.66/1.53 !>[T: $tType] : ( ( name > T ) > ( name > T ) > late_subject > T ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Late__Semantics_Otransitions,type,
% 2.66/1.53 late_transitions: pi > late_residual > $o ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Nominal_Oabs__fun,type,
% 2.66/1.53 abs_fun:
% 2.66/1.53 !>[X: $tType,A: $tType] : ( X > A > X > ( noption @ A ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Nominal_Ofresh,type,
% 2.66/1.53 fresh:
% 2.66/1.53 !>[X: $tType,A: $tType] : ( X > A > $o ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Product__Type_OPair,type,
% 2.66/1.53 product_Pair:
% 2.66/1.53 !>[A: $tType,B: $tType] : ( A > B > ( product_prod @ A @ B ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Product__Type_Ointernal__case__prod,type,
% 2.66/1.53 produc2004651681e_prod:
% 2.66/1.53 !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( product_prod @ A @ B ) > C ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Product__Type_Oold_Oprod_Orec__prod,type,
% 2.66/1.53 product_rec_prod:
% 2.66/1.53 !>[A: $tType,B: $tType,T: $tType] : ( ( A > B > T ) > ( product_prod @ A @ B ) > T ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Rel_Oeqvt,type,
% 2.66/1.53 eqvt:
% 2.66/1.53 !>[A: $tType] : ( ( set @ ( product_prod @ A @ A ) ) > $o ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Set_OCollect,type,
% 2.66/1.53 collect:
% 2.66/1.53 !>[A: $tType] : ( ( A > $o ) > ( set @ A ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Strong__Late__Sim_Oderivative,type,
% 2.66/1.53 strong2129052853vative: pi > pi > late_subject > name > ( set @ ( product_prod @ pi @ pi ) ) > $o ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_Strong__Late__Sim_Osimulation,type,
% 2.66/1.53 strong743114133lation: pi > ( set @ ( product_prod @ pi @ pi ) ) > pi > $o ).
% 2.66/1.53
% 2.66/1.53 thf(sy_c_member,type,
% 2.66/1.53 member:
% 2.66/1.53 !>[A: $tType] : ( A > ( set @ A ) > $o ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_P,type,
% 2.66/1.53 p: pi ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_P_H____,type,
% 2.66/1.53 p2: pi ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_PxQ____,type,
% 2.66/1.53 pxQ: pi ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_Q,type,
% 2.66/1.53 q: pi ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_Rel,type,
% 2.66/1.53 rel: set @ ( product_prod @ pi @ pi ) ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_aa____,type,
% 2.66/1.53 aa: late_subject ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_u____,type,
% 2.66/1.53 u: name ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_x,type,
% 2.66/1.53 x: name ).
% 2.66/1.53
% 2.66/1.53 thf(sy_v_y____,type,
% 2.66/1.53 y: name ).
% 2.66/1.53
% 2.66/1.53 thf(fact_0_False,axiom,
% 2.66/1.53 x != u ).
% 2.66/1.53
% 2.66/1.53 thf(fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062,axiom,
% 2.66/1.53 ( ( subs @ ( res @ x @ q ) @ y @ u )
% 2.66/1.53 = ( res @ x @ ( subs @ q @ y @ u ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_2__092_060open_062y_A_092_060noteq_062_Ax_092_060close_062,axiom,
% 2.66/1.53 y != x ).
% 2.66/1.53
% 2.66/1.53 thf(fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ pi @ x @ ( subs @ p2 @ y @ u ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_4_EqvtRel,axiom,
% 2.66/1.53 eqvt @ pi @ rel ).
% 2.66/1.53
% 2.66/1.53 thf(fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062,axiom,
% 2.66/1.53 ( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
% 2.66/1.53 = ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_6__092_060open_062y_A_092_060sharp_062_AQ_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ pi @ y @ q ).
% 2.66/1.53
% 2.66/1.53 thf(fact_7__092_060open_062x_A_092_060sharp_062_AP_H_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ pi @ x @ p2 ).
% 2.66/1.53
% 2.66/1.53 thf(fact_8_Res,axiom,
% 2.66/1.53 ! [Y: name,R: pi,S: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ Y @ R )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ Y @ ( par @ R @ S ) ) @ ( par @ R @ ( res @ Y @ S ) ) ) @ rel ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_9_ScopeExt,axiom,
% 2.66/1.53 ! [Y: name,R: pi,Z: name,S: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ Y @ R )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ Y @ ( res @ Z @ ( par @ R @ S ) ) ) @ ( res @ Z @ ( par @ R @ ( res @ Y @ S ) ) ) ) @ rel ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_10__092_060open_062y_A_092_060sharp_062_A_060_092_060nu_062x_062Q_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ pi @ y @ ( res @ x @ q ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_11_assms_I1_J,axiom,
% 2.66/1.53 fresh @ name @ pi @ x @ p ).
% 2.66/1.53
% 2.66/1.53 thf(fact_12_Bound_Ohyps_I3_J,axiom,
% 2.66/1.53 fresh @ name @ pi @ y @ ( par @ p @ ( res @ x @ q ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_13_Bound_Ohyps_I2_J,axiom,
% 2.66/1.53 fresh @ name @ pi @ y @ ( res @ x @ ( par @ p @ q ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_14_simps_I8_J,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( par @ P @ Q ) @ C2 @ D )
% 2.66/1.53 = ( par @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_15_simps_I9_J,axiom,
% 2.66/1.53 ! [X2: name,C2: name,D: name,P: pi] :
% 2.66/1.53 ( ( X2 != C2 )
% 2.66/1.53 => ( ( X2 != D )
% 2.66/1.53 => ( ( subs @ ( res @ X2 @ P ) @ C2 @ D )
% 2.66/1.53 = ( res @ X2 @ ( subs @ P @ C2 @ D ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_16_subst__identity,axiom,
% 2.66/1.53 ! [P: pi,A2: name] :
% 2.66/1.53 ( ( subs @ P @ A2 @ A2 )
% 2.66/1.53 = P ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_17_prod_Oinject,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,X1: A,X22: B,Y1: A,Y2: B] :
% 2.66/1.53 ( ( ( product_Pair @ A @ B @ X1 @ X22 )
% 2.66/1.53 = ( product_Pair @ A @ B @ Y1 @ Y2 ) )
% 2.66/1.53 = ( ( X1 = Y1 )
% 2.66/1.53 & ( X22 = Y2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_18_old_Oprod_Oinject,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,A2: A,B2: B,A3: A,B3: B] :
% 2.66/1.53 ( ( ( product_Pair @ A @ B @ A2 @ B2 )
% 2.66/1.53 = ( product_Pair @ A @ B @ A3 @ B3 ) )
% 2.66/1.53 = ( ( A2 = A3 )
% 2.66/1.53 & ( B2 = B3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_19_pi_Odistinct_I85_J,axiom,
% 2.66/1.53 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( par @ Pi1 @ Pi2 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_20__092_060open_062y_A_092_060sharp_062_AP_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ pi @ y @ p ).
% 2.66/1.53
% 2.66/1.53 thf(fact_21_Bound_Ohyps_I5_J,axiom,
% 2.66/1.53 fresh @ name @ ( product_prod @ name @ ( product_prod @ pi @ pi ) ) @ y @ ( product_Pair @ name @ ( product_prod @ pi @ pi ) @ x @ ( product_Pair @ pi @ pi @ p @ q ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_22_parSym,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi,Q: pi] :
% 2.66/1.53 ( ! [R2: pi,S2: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ R2 @ S2 ) @ ( par @ S2 @ R2 ) ) @ Rel )
% 2.66/1.53 => ( ! [R2: pi,S2: pi,X3: name] :
% 2.66/1.53 ( ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ R2 @ S2 ) @ Rel )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ R2 ) @ ( res @ X3 @ S2 ) ) @ Rel ) )
% 2.66/1.53 => ( strong743114133lation @ ( par @ P @ Q ) @ Rel @ ( par @ Q @ P ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_23_substRes2,axiom,
% 2.66/1.53 ! [B2: name,P: pi,A2: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ B2 @ P )
% 2.66/1.53 => ( ( res @ A2 @ P )
% 2.66/1.53 = ( res @ B2 @ ( subs @ P @ A2 @ B2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_24_Agent_OsubstRes3,axiom,
% 2.66/1.53 ! [B2: name,P: pi,A2: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ B2 @ P )
% 2.66/1.53 => ( ( subs @ ( res @ A2 @ P ) @ A2 @ B2 )
% 2.66/1.53 = ( res @ B2 @ ( subs @ P @ A2 @ B2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_25_Bound_Ohyps_I4_J,axiom,
% 2.66/1.53 fresh @ name @ late_subject @ y @ aa ).
% 2.66/1.53
% 2.66/1.53 thf(fact_26__092_060open_062x_A_092_060sharp_062_Aa_092_060close_062,axiom,
% 2.66/1.53 fresh @ name @ late_subject @ x @ aa ).
% 2.66/1.53
% 2.66/1.53 thf(fact_27_pi_Ofresh_I8_J,axiom,
% 2.66/1.53 ! [A2: name,X22: pi,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( par @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ pi @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_28_name__exists__fresh,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [X2: A] :
% 2.66/1.53 ~ ! [C3: name] :
% 2.66/1.53 ~ ( fresh @ name @ A @ C3 @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_29_freshRes,axiom,
% 2.66/1.53 ! [A2: name,P: pi] : ( fresh @ name @ pi @ A2 @ ( res @ A2 @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_30_fresh__fact2,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi] :
% 2.66/1.53 ( ( A2 != B2 )
% 2.66/1.53 => ( fresh @ name @ pi @ A2 @ ( subs @ P @ A2 @ B2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_31_fresh__fact1,axiom,
% 2.66/1.53 ! [A2: name,P: pi,C2: name,B2: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ P )
% 2.66/1.53 => ( ( A2 != C2 )
% 2.66/1.53 => ( fresh @ name @ pi @ A2 @ ( subs @ P @ B2 @ C2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_32_forget,axiom,
% 2.66/1.53 ! [A2: name,P: pi,B2: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ P )
% 2.66/1.53 => ( ( subs @ P @ A2 @ B2 )
% 2.66/1.53 = P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_33_parAssocLeft,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi,Q: pi,R: pi] :
% 2.66/1.53 ( ! [S2: pi,T2: pi,U: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ ( par @ S2 @ T2 ) @ U ) @ ( par @ S2 @ ( par @ T2 @ U ) ) ) @ Rel )
% 2.66/1.53 => ( ! [S2: pi,T2: pi,X3: name] :
% 2.66/1.53 ( ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ S2 @ T2 ) @ Rel )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ S2 ) @ ( res @ X3 @ T2 ) ) @ Rel ) )
% 2.66/1.53 => ( ! [S2: pi,T2: pi,U: pi,X3: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ X3 @ S2 )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( res @ X3 @ ( par @ ( par @ S2 @ T2 ) @ U ) ) @ ( par @ S2 @ ( res @ X3 @ ( par @ T2 @ U ) ) ) ) @ Rel ) )
% 2.66/1.53 => ( ! [S2: pi,T2: pi,U: pi,X3: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ X3 @ U )
% 2.66/1.53 => ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ ( res @ X3 @ ( par @ S2 @ T2 ) ) @ U ) @ ( res @ X3 @ ( par @ S2 @ ( par @ T2 @ U ) ) ) ) @ Rel ) )
% 2.66/1.53 => ( strong743114133lation @ ( par @ ( par @ P @ Q ) @ R ) @ Rel @ ( par @ P @ ( par @ Q @ R ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_34_old_Oprod_Oinducts,axiom,
% 2.66/1.53 ! [B: $tType,A: $tType,P: ( product_prod @ A @ B ) > $o,Prod: product_prod @ A @ B] :
% 2.66/1.53 ( ! [A4: A,B4: B] : ( P @ ( product_Pair @ A @ B @ A4 @ B4 ) )
% 2.66/1.53 => ( P @ Prod ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_35_old_Oprod_Oexhaust,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,Y: product_prod @ A @ B] :
% 2.66/1.53 ~ ! [A4: A,B4: B] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ B @ A4 @ B4 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_36_prod__induct7,axiom,
% 2.66/1.53 ! [G: $tType,F: $tType,E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) )] :
% 2.66/1.53 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F,G2: G] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) @ D3 @ ( product_Pair @ E @ ( product_prod @ F @ G ) @ E2 @ ( product_Pair @ F @ G @ F2 @ G2 ) ) ) ) ) ) )
% 2.66/1.53 => ( P @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_37_prod__induct6,axiom,
% 2.66/1.53 ! [F: $tType,E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) )] :
% 2.66/1.53 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ F ) @ D3 @ ( product_Pair @ E @ F @ E2 @ F2 ) ) ) ) ) )
% 2.66/1.53 => ( P @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_38_prod__induct5,axiom,
% 2.66/1.53 ! [E: $tType,D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) )] :
% 2.66/1.53 ( ! [A4: A,B4: B,C3: C,D3: D2,E2: E] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ E ) @ C3 @ ( product_Pair @ D2 @ E @ D3 @ E2 ) ) ) ) )
% 2.66/1.53 => ( P @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_39_prod__induct4,axiom,
% 2.66/1.53 ! [D2: $tType,C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) )] :
% 2.66/1.53 ( ! [A4: A,B4: B,C3: C,D3: D2] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ D2 ) @ B4 @ ( product_Pair @ C @ D2 @ C3 @ D3 ) ) ) )
% 2.66/1.53 => ( P @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_40_prod__induct3,axiom,
% 2.66/1.53 ! [C: $tType,B: $tType,A: $tType,P: ( product_prod @ A @ ( product_prod @ B @ C ) ) > $o,X2: product_prod @ A @ ( product_prod @ B @ C )] :
% 2.66/1.53 ( ! [A4: A,B4: B,C3: C] : ( P @ ( product_Pair @ A @ ( product_prod @ B @ C ) @ A4 @ ( product_Pair @ B @ C @ B4 @ C3 ) ) )
% 2.66/1.53 => ( P @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_41_prod__cases7,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,F: $tType,G: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) )] :
% 2.66/1.53 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F,G2: G] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ ( product_prod @ F @ G ) ) @ D3 @ ( product_Pair @ E @ ( product_prod @ F @ G ) @ E2 @ ( product_Pair @ F @ G @ F2 @ G2 ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_42_prod__cases6,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,F: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) )] :
% 2.66/1.53 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E,F2: F] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ ( product_prod @ E @ F ) ) @ C3 @ ( product_Pair @ D2 @ ( product_prod @ E @ F ) @ D3 @ ( product_Pair @ E @ F @ E2 @ F2 ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_43_prod__cases5,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,C: $tType,D2: $tType,E: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) )] :
% 2.66/1.53 ~ ! [A4: A,B4: B,C3: C,D3: D2,E2: E] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ ( product_prod @ D2 @ E ) ) @ B4 @ ( product_Pair @ C @ ( product_prod @ D2 @ E ) @ C3 @ ( product_Pair @ D2 @ E @ D3 @ E2 ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_44_prod__cases4,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,C: $tType,D2: $tType,Y: product_prod @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) )] :
% 2.66/1.53 ~ ! [A4: A,B4: B,C3: C,D3: D2] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ ( product_prod @ B @ ( product_prod @ C @ D2 ) ) @ A4 @ ( product_Pair @ B @ ( product_prod @ C @ D2 ) @ B4 @ ( product_Pair @ C @ D2 @ C3 @ D3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_45_mem__Collect__eq,axiom,
% 2.66/1.53 ! [A: $tType,A2: A,P: A > $o] :
% 2.66/1.53 ( ( member @ A @ A2 @ ( collect @ A @ P ) )
% 2.66/1.53 = ( P @ A2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_46_Collect__mem__eq,axiom,
% 2.66/1.53 ! [A: $tType,A5: set @ A] :
% 2.66/1.53 ( ( collect @ A
% 2.66/1.53 @ ^ [X4: A] : ( member @ A @ X4 @ A5 ) )
% 2.66/1.53 = A5 ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_47_Collect__cong,axiom,
% 2.66/1.53 ! [A: $tType,P: A > $o,Q: A > $o] :
% 2.66/1.53 ( ! [X3: A] :
% 2.66/1.53 ( ( P @ X3 )
% 2.66/1.53 = ( Q @ X3 ) )
% 2.66/1.53 => ( ( collect @ A @ P )
% 2.66/1.53 = ( collect @ A @ Q ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_48_prod__cases3,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,C: $tType,Y: product_prod @ A @ ( product_prod @ B @ C )] :
% 2.66/1.53 ~ ! [A4: A,B4: B,C3: C] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( product_Pair @ A @ ( product_prod @ B @ C ) @ A4 @ ( product_Pair @ B @ C @ B4 @ C3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_49_Pair__inject,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,A2: A,B2: B,A3: A,B3: B] :
% 2.66/1.53 ( ( ( product_Pair @ A @ B @ A2 @ B2 )
% 2.66/1.53 = ( product_Pair @ A @ B @ A3 @ B3 ) )
% 2.66/1.53 => ~ ( ( A2 = A3 )
% 2.66/1.53 => ( B2 != B3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_50_prod__cases,axiom,
% 2.66/1.53 ! [B: $tType,A: $tType,P: ( product_prod @ A @ B ) > $o,P2: product_prod @ A @ B] :
% 2.66/1.53 ( ! [A4: A,B4: B] : ( P @ ( product_Pair @ A @ B @ A4 @ B4 ) )
% 2.66/1.53 => ( P @ P2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_51_surj__pair,axiom,
% 2.66/1.53 ! [A: $tType,B: $tType,P2: product_prod @ A @ B] :
% 2.66/1.53 ? [X3: A,Y3: B] :
% 2.66/1.53 ( P2
% 2.66/1.53 = ( product_Pair @ A @ B @ X3 @ Y3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_52_pi_Oinject_I7_J,axiom,
% 2.66/1.53 ! [X22: pi,X1: pi,Y2: pi,Y1: pi] :
% 2.66/1.53 ( ( ( par @ X22 @ X1 )
% 2.66/1.53 = ( par @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_53_fresh__prod,axiom,
% 2.66/1.53 ! [A: $tType,X: $tType,B: $tType,A2: X,X2: A,Y: B] :
% 2.66/1.53 ( ( fresh @ X @ ( product_prod @ A @ B ) @ A2 @ ( product_Pair @ A @ B @ X2 @ Y ) )
% 2.66/1.53 = ( ( fresh @ X @ A @ A2 @ X2 )
% 2.66/1.53 & ( fresh @ X @ B @ A2 @ Y ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_54_substTrans,axiom,
% 2.66/1.53 ! [B2: name,P: pi,A2: name,C2: name] :
% 2.66/1.53 ( ( fresh @ name @ pi @ B2 @ P )
% 2.66/1.53 => ( ( subs @ ( subs @ P @ A2 @ B2 ) @ B2 @ C2 )
% 2.66/1.53 = ( subs @ P @ A2 @ C2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_55_fresh__prodD_I1_J,axiom,
% 2.66/1.53 ! [C: $tType,A: $tType,B: $tType,A2: A,X2: B,Y: C] :
% 2.66/1.53 ( ( fresh @ A @ ( product_prod @ B @ C ) @ A2 @ ( product_Pair @ B @ C @ X2 @ Y ) )
% 2.66/1.53 => ( fresh @ A @ B @ A2 @ X2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_56_fresh__prodD_I2_J,axiom,
% 2.66/1.53 ! [B: $tType,A: $tType,C: $tType,A2: A,X2: B,Y: C] :
% 2.66/1.53 ( ( fresh @ A @ ( product_prod @ B @ C ) @ A2 @ ( product_Pair @ B @ C @ X2 @ Y ) )
% 2.66/1.53 => ( fresh @ A @ C @ A2 @ Y ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_57_old_Oprod_Orec,axiom,
% 2.66/1.53 ! [A: $tType,T: $tType,B: $tType,F1: A > B > T,A2: A,B2: B] :
% 2.66/1.53 ( ( product_rec_prod @ A @ B @ T @ F1 @ ( product_Pair @ A @ B @ A2 @ B2 ) )
% 2.66/1.53 = ( F1 @ A2 @ B2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_58_Bound_Ohyps_I1_J,axiom,
% 2.66/1.53 late_transitions @ ( par @ p @ ( res @ x @ q ) ) @ ( late_BoundR @ aa @ y @ pxQ ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_59__092_060open_062_060_092_060nu_062x_062_IP_A_092_060parallel_062_AQ_J_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_A_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_092_060close_062,axiom,
% 2.66/1.53 late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_BoundR @ aa @ y @ ( res @ x @ ( par @ p2 @ q ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_60_cPar1_Ohyps,axiom,
% 2.66/1.53 late_transitions @ p @ ( late_BoundR @ aa @ y @ p2 ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_61__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_092_060guillemotleft_062y_092_060guillemotright_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062,axiom,
% 2.66/1.53 late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ aa @ y @ ( par @ p2 @ q ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_62_freshBoundDerivative_I2_J,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( ( Y != X2 )
% 2.66/1.53 => ( fresh @ name @ pi @ Y @ P3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_63_freshResidual,axiom,
% 2.66/1.53 ! [P: pi,Rs: late_residual,X2: name] :
% 2.66/1.53 ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( fresh @ name @ late_residual @ X2 @ Rs ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_64_parCasesB,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,A2: late_subject,X2: name,PQ: pi,Prop: pi > $o] :
% 2.66/1.53 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ PQ ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ! [P4: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P4 ) )
% 2.66/1.53 => ( Prop @ ( par @ P4 @ Q ) ) )
% 2.66/1.53 => ( ! [Q2: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q2 ) )
% 2.66/1.53 => ( Prop @ ( par @ P @ Q2 ) ) )
% 2.66/1.53 => ( Prop @ PQ ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_65_Late__Semantics_OPar2B,axiom,
% 2.66/1.53 ! [Q: pi,A2: late_subject,X2: name,Q3: pi,P: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P @ Q3 ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_66_Late__Semantics_OPar1B,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Q: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P3 @ Q ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_67_Late__Semantics_OResB,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Y @ A2 )
% 2.66/1.53 => ( ( Y != X2 )
% 2.66/1.53 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A2 @ X2 @ ( res @ Y @ P3 ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_68_freshBoundDerivative_I1_J,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( fresh @ name @ late_subject @ Y @ A2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_69_transitions_OResB,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Y @ A2 )
% 2.66/1.53 => ( ( Y != X2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 2.66/1.53 => ( late_transitions @ ( res @ Y @ P ) @ ( late_BoundR @ A2 @ X2 @ ( res @ Y @ P3 ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_70_transitions_OPar2B,axiom,
% 2.66/1.53 ! [Q: pi,A2: late_subject,X2: name,Q3: pi,P: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P @ Q3 ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_71_transitions_OPar1B,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi,Q: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ X2 @ A2 )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ A2 @ X2 @ ( par @ P3 @ Q ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_72_parCasesB_H,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,B2: late_subject,Y: name,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( par @ P @ Q ) @ ( late_BoundR @ B2 @ Y @ P3 ) )
% 2.66/1.53 => ( ! [P5: pi,A4: late_subject,X3: name,P4: pi,Q4: pi] :
% 2.66/1.53 ( ( ( par @ P @ Q )
% 2.66/1.53 = ( par @ P5 @ Q4 ) )
% 2.66/1.53 => ( ( ( late_BoundR @ B2 @ Y @ P3 )
% 2.66/1.53 = ( late_BoundR @ A4 @ X3 @ ( par @ P4 @ Q4 ) ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ Q4 )
% 2.66/1.53 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) )
% 2.66/1.53 => ~ ! [Q4: pi,A4: late_subject,X3: name,Q2: pi,P5: pi] :
% 2.66/1.53 ( ( ( par @ P @ Q )
% 2.66/1.53 = ( par @ P5 @ Q4 ) )
% 2.66/1.53 => ( ( ( late_BoundR @ B2 @ Y @ P3 )
% 2.66/1.53 = ( late_BoundR @ A4 @ X3 @ ( par @ P5 @ Q2 ) ) )
% 2.66/1.53 => ( ( late_transitions @ Q4 @ ( late_BoundR @ A4 @ X3 @ Q2 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ Q4 )
% 2.66/1.53 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_73_simE_I1_J,axiom,
% 2.66/1.53 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi ),Q: pi,A2: late_subject,X2: name,Q3: pi] :
% 2.66/1.53 ( ( strong743114133lation @ P @ Rel @ Q )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ A2 @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ? [P4: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A2 @ X2 @ P4 ) )
% 2.66/1.53 & ( strong2129052853vative @ P4 @ Q3 @ A2 @ X2 @ Rel ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_74_internal__case__prod__conv,axiom,
% 2.66/1.53 ! [B: $tType,A: $tType,C: $tType,C2: B > C > A,A2: B,B2: C] :
% 2.66/1.53 ( ( produc2004651681e_prod @ B @ C @ A @ C2 @ ( product_Pair @ B @ C @ A2 @ B2 ) )
% 2.66/1.53 = ( C2 @ A2 @ B2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_75_simCasesCont,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [Rel: set @ ( product_prod @ pi @ pi ),Q: pi,P: pi,C4: A] :
% 2.66/1.53 ( ( eqvt @ pi @ Rel )
% 2.66/1.53 => ( ! [A4: late_subject,X3: name,Q2: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ X3 @ Q2 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ Q )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ X3 @ A4 )
% 2.66/1.53 => ( ( fresh @ name @ A @ X3 @ C4 )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ X3 @ P6 ) )
% 2.66/1.53 & ( strong2129052853vative @ P6 @ Q2 @ A4 @ X3 @ Rel ) ) ) ) ) ) )
% 2.66/1.53 => ( ! [Alpha: late_freeRes,Q2: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) )
% 2.66/1.53 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_76_parZeroLeft,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 2.66/1.53 ( ! [Q4: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( par @ Q4 @ piNil ) @ Q4 ) @ Rel )
% 2.66/1.53 => ( strong743114133lation @ ( par @ P @ piNil ) @ Rel @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_77_parZeroRight,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 2.66/1.53 ( ! [Q4: pi] : ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ Q4 @ ( par @ Q4 @ piNil ) ) @ Rel )
% 2.66/1.53 => ( strong743114133lation @ P @ Rel @ ( par @ P @ piNil ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_78_inputIneqTrans,axiom,
% 2.66/1.53 ! [A2: name,X2: name,P: pi,B2: late_subject,Y: name,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ B2 @ Y @ P3 ) )
% 2.66/1.53 => ~ ( fresh @ name @ late_subject @ A2 @ B2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_79_resTauBoundTrans,axiom,
% 2.66/1.53 ! [X2: name,P: pi,A2: late_subject,Y: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( tau @ P ) ) @ ( late_BoundR @ A2 @ Y @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_80_pi_Ofresh_I1_J,axiom,
% 2.66/1.53 ! [A2: name] : ( fresh @ name @ pi @ A2 @ piNil ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_81_pi_Ofresh_I3_J,axiom,
% 2.66/1.53 ! [A2: name,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( tau @ X1 ) )
% 2.66/1.53 = ( fresh @ name @ pi @ A2 @ X1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_82_simps_I1_J,axiom,
% 2.66/1.53 ! [C2: name,D: name] :
% 2.66/1.53 ( ( subs @ piNil @ C2 @ D )
% 2.66/1.53 = piNil ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_83_simps_I2_J,axiom,
% 2.66/1.53 ! [P: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( tau @ P ) @ C2 @ D )
% 2.66/1.53 = ( tau @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_84_residual_Ofresh_I2_J,axiom,
% 2.66/1.53 ! [A2: name,X22: late_freeRes,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ late_residual @ A2 @ ( late_FreeR @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ late_freeRes @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_85_inputFreeTrans,axiom,
% 2.66/1.53 ! [A2: name,X2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_86_residual_Oinject_I2_J,axiom,
% 2.66/1.53 ! [X22: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
% 2.66/1.53 ( ( ( late_FreeR @ X22 @ X1 )
% 2.66/1.53 = ( late_FreeR @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_87_nilSim_I2_J,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,X2: name,P: pi] :
% 2.66/1.53 ~ ( strong743114133lation @ piNil @ Rel @ ( input @ A2 @ X2 @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_88_nilSim_I1_J,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 2.66/1.53 ~ ( strong743114133lation @ piNil @ Rel @ ( tau @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_89_pi_Odistinct_I3_J,axiom,
% 2.66/1.53 ! [Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( tau @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_90_pi_Odistinct_I5_J,axiom,
% 2.66/1.53 ! [Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_91_pi_Odistinct_I35_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_92_pi_Oinject_I2_J,axiom,
% 2.66/1.53 ! [X1: pi,Y1: pi] :
% 2.66/1.53 ( ( ( tau @ X1 )
% 2.66/1.53 = ( tau @ Y1 ) )
% 2.66/1.53 = ( X1 = Y1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_93_resInputFreeTrans,axiom,
% 2.66/1.53 ! [X2: name,A2: name,Y: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( input @ A2 @ Y @ P ) ) @ ( late_FreeR @ Alpha2 @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_94_residual_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [Subject: late_subject,Name3: name,Pi3: pi,FreeRes: late_freeRes,Pi: pi] :
% 2.66/1.53 ( ( late_BoundR @ Subject @ Name3 @ Pi3 )
% 2.66/1.53 != ( late_FreeR @ FreeRes @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_95_residual_Oinducts,axiom,
% 2.66/1.53 ! [P: late_residual > $o,Residual: late_residual] :
% 2.66/1.53 ( ! [Subject2: late_subject,Name4: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) )
% 2.66/1.53 => ( ! [FreeRes2: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 2.66/1.53 => ( P @ Residual ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_96_pi_Odistinct_I57_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( input @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_97_pi_Odistinct_I55_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( input @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_98_pi_Odistinct_I45_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_99_pi_Odistinct_I43_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_100_nilCases_H,axiom,
% 2.66/1.53 ! [Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ piNil @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_101_zeroTrans,axiom,
% 2.66/1.53 ! [Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ piNil @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_102_pi_Odistinct_I15_J,axiom,
% 2.66/1.53 ! [Name: name,Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_103_pi_Odistinct_I13_J,axiom,
% 2.66/1.53 ! [Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_104_nilSimRight,axiom,
% 2.66/1.53 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi )] : ( strong743114133lation @ P @ Rel @ piNil ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_105_ResF,axiom,
% 2.66/1.53 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_freeRes @ Y @ Alpha2 )
% 2.66/1.53 => ( late_transitions @ ( res @ Y @ P ) @ ( late_FreeR @ Alpha2 @ ( res @ Y @ P3 ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_106_resCasesF_H,axiom,
% 2.66/1.53 ! [X2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( res @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ~ ! [P5: pi,Alpha: late_freeRes,P4: pi,Y3: name] :
% 2.66/1.53 ( ( ( res @ X2 @ P )
% 2.66/1.53 = ( res @ Y3 @ P5 ) )
% 2.66/1.53 => ( ( ( late_FreeR @ Alpha2 @ P3 )
% 2.66/1.53 = ( late_FreeR @ Alpha @ ( res @ Y3 @ P4 ) ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha @ P4 ) )
% 2.66/1.53 => ~ ( fresh @ name @ late_freeRes @ Y3 @ Alpha ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_107_resCasesF,axiom,
% 2.66/1.53 ! [X2: name,P: pi,Alpha2: late_freeRes,XP: pi,F3: pi > $o] :
% 2.66/1.53 ( ( late_transitions @ ( res @ X2 @ P ) @ ( late_FreeR @ Alpha2 @ XP ) )
% 2.66/1.53 => ( ! [P4: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P4 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_freeRes @ X2 @ Alpha2 )
% 2.66/1.53 => ( F3 @ ( res @ X2 @ P4 ) ) ) )
% 2.66/1.53 => ( F3 @ XP ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_108_Par1F,axiom,
% 2.66/1.53 ! [P: pi,Alpha2: late_freeRes,P3: pi,Q: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha2 @ ( par @ P3 @ Q ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_109_Par2F,axiom,
% 2.66/1.53 ! [Q: pi,Alpha2: late_freeRes,Q3: pi,P: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha2 @ ( par @ P @ Q3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_110_freshFreeDerivative_I1_J,axiom,
% 2.66/1.53 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( fresh @ name @ late_freeRes @ Y @ Alpha2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_111_freshFreeDerivative_I2_J,axiom,
% 2.66/1.53 ! [P: pi,Alpha2: late_freeRes,P3: pi,Y: name] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( fresh @ name @ pi @ Y @ P3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_112_simE_I2_J,axiom,
% 2.66/1.53 ! [P: pi,Rel: set @ ( product_prod @ pi @ pi ),Q: pi,Alpha2: late_freeRes,Q3: pi] :
% 2.66/1.53 ( ( strong743114133lation @ P @ Rel @ Q )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_FreeR @ Alpha2 @ Q3 ) )
% 2.66/1.53 => ? [P4: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha2 @ P4 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P4 @ Q3 ) @ Rel ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_113_resTrans_I2_J,axiom,
% 2.66/1.53 ! [X2: name,Y: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( input @ X2 @ Y @ P ) ) @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_114_simCases,axiom,
% 2.66/1.53 ! [Q: pi,P: pi,Rel: set @ ( product_prod @ pi @ pi )] :
% 2.66/1.53 ( ! [A4: late_subject,Y3: name,Q2: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ Y3 @ Q2 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y3 @ P )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ Y3 @ P6 ) )
% 2.66/1.53 & ( strong2129052853vative @ P6 @ Q2 @ A4 @ Y3 @ Rel ) ) ) )
% 2.66/1.53 => ( ! [Alpha: late_freeRes,Q2: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) )
% 2.66/1.53 => ( strong743114133lation @ P @ Rel @ Q ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_115_simulation__def,axiom,
% 2.66/1.53 ( strong743114133lation
% 2.66/1.53 = ( ^ [P7: pi,Rel2: set @ ( product_prod @ pi @ pi ),Q5: pi] :
% 2.66/1.53 ( ! [A6: late_subject,X4: name,Q6: pi] :
% 2.66/1.53 ( ( ( late_transitions @ Q5 @ ( late_BoundR @ A6 @ X4 @ Q6 ) )
% 2.66/1.53 & ( fresh @ name @ pi @ X4 @ P7 ) )
% 2.66/1.53 => ? [P8: pi] :
% 2.66/1.53 ( ( late_transitions @ P7 @ ( late_BoundR @ A6 @ X4 @ P8 ) )
% 2.66/1.53 & ( strong2129052853vative @ P8 @ Q6 @ A6 @ X4 @ Rel2 ) ) )
% 2.66/1.53 & ! [Alpha3: late_freeRes,Q6: pi] :
% 2.66/1.53 ( ( late_transitions @ Q5 @ ( late_FreeR @ Alpha3 @ Q6 ) )
% 2.66/1.53 => ? [P8: pi] :
% 2.66/1.53 ( ( late_transitions @ P7 @ ( late_FreeR @ Alpha3 @ P8 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P8 @ Q6 ) @ Rel2 ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_116_tauBoundTrans,axiom,
% 2.66/1.53 ! [P: pi,A2: late_subject,X2: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( tau @ P ) @ ( late_BoundR @ A2 @ X2 @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_117_resZeroTrans,axiom,
% 2.66/1.53 ! [X2: name,Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ piNil ) @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_118_residual_Ostrong__induct,axiom,
% 2.66/1.53 ! [N: $tType] :
% 2.66/1.53 ( ( fs_name @ N )
% 2.66/1.53 => ! [P: N > late_residual > $o,Z: N,Residual: late_residual] :
% 2.66/1.53 ( ! [Subject2: late_subject,Name4: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ( fresh @ name @ N @ Name4 @ Z2 )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Name4 @ Subject2 )
% 2.66/1.53 => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) ) ) )
% 2.66/1.53 => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: N] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 2.66/1.53 => ( P @ Z @ Residual ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_119_residual_Ostrong__inducts,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [P: A > late_residual > $o,Z: A,Residual: late_residual] :
% 2.66/1.53 ( ! [Subject2: late_subject,Name4: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ( fresh @ name @ A @ Name4 @ Z2 )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Name4 @ Subject2 )
% 2.66/1.53 => ( P @ Z2 @ ( late_BoundR @ Subject2 @ Name4 @ Pi4 ) ) ) )
% 2.66/1.53 => ( ! [FreeRes2: late_freeRes,Pi4: pi,Z2: A] : ( P @ Z2 @ ( late_FreeR @ FreeRes2 @ Pi4 ) )
% 2.66/1.53 => ( P @ Z @ Residual ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_120_resSimCases,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [Rel: set @ ( product_prod @ pi @ pi ),Q: pi,X2: name,P: pi,C4: A] :
% 2.66/1.53 ( ( eqvt @ pi @ Rel )
% 2.66/1.53 => ( ! [Q2: pi,A4: name] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A4 @ X2 ) @ Q2 ) )
% 2.66/1.53 => ( ( A4 != X2 )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ X2 @ P6 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ Q2 ) @ Rel ) ) ) )
% 2.66/1.53 => ( ! [Q2: pi,A4: late_subject,Y3: name] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_BoundR @ A4 @ Y3 @ Q2 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ X2 @ A4 )
% 2.66/1.53 => ( ( X2 != Y3 )
% 2.66/1.53 => ( ( fresh @ name @ A @ Y3 @ C4 )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ A4 @ Y3 @ P6 ) )
% 2.66/1.53 & ( strong2129052853vative @ P6 @ ( res @ X2 @ Q2 ) @ A4 @ Y3 @ Rel ) ) ) ) ) )
% 2.66/1.53 => ( ! [Q2: pi,Alpha: late_freeRes] :
% 2.66/1.53 ( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_freeRes @ X2 @ Alpha )
% 2.66/1.53 => ? [P6: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P6 ) )
% 2.66/1.53 & ( member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ P6 @ ( res @ X2 @ Q2 ) ) @ Rel ) ) ) )
% 2.66/1.53 => ( strong743114133lation @ P @ Rel @ ( res @ X2 @ Q ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_121_resInputBoundOutputTrans,axiom,
% 2.66/1.53 ! [X2: name,A2: name,Y: name,P: pi,B2: name,Z: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( input @ A2 @ Y @ P ) ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Z @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_122_resTauOutputTrans,axiom,
% 2.66/1.53 ! [X2: name,P: pi,A2: name,B2: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( tau @ P ) ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_123_residual_Ofresh_I1_J,axiom,
% 2.66/1.53 ! [A2: name,X32: late_subject,X1: name,X22: pi] :
% 2.66/1.53 ( ( fresh @ name @ late_residual @ A2 @ ( late_BoundR @ X32 @ X1 @ X22 ) )
% 2.66/1.53 = ( ( fresh @ name @ late_subject @ A2 @ X32 )
% 2.66/1.53 & ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_124_Tau,axiom,
% 2.66/1.53 ! [P: pi] : ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ late_TauR @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_125_tauCases_H,axiom,
% 2.66/1.53 ! [P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( tau @ P ) @ Rs )
% 2.66/1.53 => ~ ! [P5: pi] :
% 2.66/1.53 ( ( ( tau @ P )
% 2.66/1.53 = ( tau @ P5 ) )
% 2.66/1.53 => ( Rs
% 2.66/1.53 != ( late_FreeR @ late_TauR @ P5 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_126_Late__Semantics_OfreeRes_Oinject,axiom,
% 2.66/1.53 ! [X22: name,X1: name,Y2: name,Y1: name] :
% 2.66/1.53 ( ( ( late_OutputR @ X22 @ X1 )
% 2.66/1.53 = ( late_OutputR @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_127_Late__Semantics_Osubject_Oinject_I2_J,axiom,
% 2.66/1.53 ! [X1: name,Y1: name] :
% 2.66/1.53 ( ( ( late_BoundOutputS @ X1 )
% 2.66/1.53 = ( late_BoundOutputS @ Y1 ) )
% 2.66/1.53 = ( X1 = Y1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_128_subject_Ofresh_I2_J,axiom,
% 2.66/1.53 ! [A2: name,X1: name] :
% 2.66/1.53 ( ( fresh @ name @ late_subject @ A2 @ ( late_BoundOutputS @ X1 ) )
% 2.66/1.53 = ( fresh @ name @ name @ A2 @ X1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_129_freeRes_Ofresh_I1_J,axiom,
% 2.66/1.53 ! [A2: name,X22: name,X1: name] :
% 2.66/1.53 ( ( fresh @ name @ late_freeRes @ A2 @ ( late_OutputR @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ name @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ name @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_130_freeRes_Ofresh_I2_J,axiom,
% 2.66/1.53 ! [A2: name] : ( fresh @ name @ late_freeRes @ A2 @ late_TauR ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_131_pi_Ofresh_I9_J,axiom,
% 2.66/1.53 ! [A2: name,X1: name,X22: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( res @ X1 @ X22 ) )
% 2.66/1.53 = ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_132_pi_Ofresh_I4_J,axiom,
% 2.66/1.53 ! [A2: name,X32: name,X1: name,X22: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( input @ X32 @ X1 @ X22 ) )
% 2.66/1.53 = ( ( fresh @ name @ name @ A2 @ X32 )
% 2.66/1.53 & ( fresh @ name @ ( name > ( noption @ pi ) ) @ A2 @ ( abs_fun @ name @ pi @ X1 @ X22 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_133_Late__Semantics_OfreeRes_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name] :
% 2.66/1.53 ( ( late_OutputR @ Name12 @ Name22 )
% 2.66/1.53 != late_TauR ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_134_abs__fun__eq1,axiom,
% 2.66/1.53 ! [X: $tType,A: $tType,A2: X,X2: A,Y: A] :
% 2.66/1.53 ( ( ( abs_fun @ X @ A @ A2 @ X2 )
% 2.66/1.53 = ( abs_fun @ X @ A @ A2 @ Y ) )
% 2.66/1.53 = ( X2 = Y ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_135_freeRes_Oinducts,axiom,
% 2.66/1.53 ! [P: late_freeRes > $o,FreeRes3: late_freeRes] :
% 2.66/1.53 ( ! [Name13: name,Name23: name] : ( P @ ( late_OutputR @ Name13 @ Name23 ) )
% 2.66/1.53 => ( ( P @ late_TauR )
% 2.66/1.53 => ( P @ FreeRes3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_136_freeRes_Ostrong__induct_H,axiom,
% 2.66/1.53 ! [N: $tType,P: N > late_freeRes > $o,Z: N,FreeRes3: late_freeRes] :
% 2.66/1.53 ( ! [Name13: name,Name23: name,Z2: N] : ( P @ Z2 @ ( late_OutputR @ Name13 @ Name23 ) )
% 2.66/1.53 => ( ! [Z2: N] : ( P @ Z2 @ late_TauR )
% 2.66/1.53 => ( P @ Z @ FreeRes3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_137_freeRes_Ostrong__inducts,axiom,
% 2.66/1.53 ! [A: $tType,P: A > late_freeRes > $o,Z: A,FreeRes3: late_freeRes] :
% 2.66/1.53 ( ! [Name13: name,Name23: name,Z2: A] : ( P @ Z2 @ ( late_OutputR @ Name13 @ Name23 ) )
% 2.66/1.53 => ( ! [Z2: A] : ( P @ Z2 @ late_TauR )
% 2.66/1.53 => ( P @ Z @ FreeRes3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_138_pi_Oinject_I8_J,axiom,
% 2.66/1.53 ! [X1: name,X22: pi,Y1: name,Y2: pi] :
% 2.66/1.53 ( ( ( res @ X1 @ X22 )
% 2.66/1.53 = ( res @ Y1 @ Y2 ) )
% 2.66/1.53 = ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 2.66/1.53 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_139_residual_Oinject_I1_J,axiom,
% 2.66/1.53 ! [X32: late_subject,X1: name,X22: pi,Y32: late_subject,Y1: name,Y2: pi] :
% 2.66/1.53 ( ( ( late_BoundR @ X32 @ X1 @ X22 )
% 2.66/1.53 = ( late_BoundR @ Y32 @ Y1 @ Y2 ) )
% 2.66/1.53 = ( ( X32 = Y32 )
% 2.66/1.53 & ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 2.66/1.53 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_140_name__fresh__abs,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [B2: name,A2: name,X2: A] :
% 2.66/1.53 ( ( fresh @ name @ ( name > ( noption @ A ) ) @ B2 @ ( abs_fun @ name @ A @ A2 @ X2 ) )
% 2.66/1.53 = ( ( B2 = A2 )
% 2.66/1.53 | ( fresh @ name @ A @ B2 @ X2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_141_abs__fresh_I1_J,axiom,
% 2.66/1.53 ! [X5: $tType] :
% 2.66/1.53 ( ( fs_name @ X5 )
% 2.66/1.53 => ! [B2: name,A2: name,X2: X5] :
% 2.66/1.53 ( ( fresh @ name @ ( name > ( noption @ X5 ) ) @ B2 @ ( abs_fun @ name @ X5 @ A2 @ X2 ) )
% 2.66/1.53 = ( ( B2 = A2 )
% 2.66/1.53 | ( fresh @ name @ X5 @ B2 @ X2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_142_pi_Oinject_I3_J,axiom,
% 2.66/1.53 ! [X32: name,X1: name,X22: pi,Y32: name,Y1: name,Y2: pi] :
% 2.66/1.53 ( ( ( input @ X32 @ X1 @ X22 )
% 2.66/1.53 = ( input @ Y32 @ Y1 @ Y2 ) )
% 2.66/1.53 = ( ( X32 = Y32 )
% 2.66/1.53 & ( ( abs_fun @ name @ pi @ X1 @ X22 )
% 2.66/1.53 = ( abs_fun @ name @ pi @ Y1 @ Y2 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_143_Open,axiom,
% 2.66/1.53 ! [P: pi,A2: name,B2: name,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 2.66/1.53 => ( ( A2 != B2 )
% 2.66/1.53 => ( late_transitions @ ( res @ B2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ B2 @ P3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_144_resCases_H,axiom,
% 2.66/1.53 ! [X2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( res @ X2 @ P ) @ Rs )
% 2.66/1.53 => ( ! [P5: pi,A4: name,B4: name] :
% 2.66/1.53 ( ( ( res @ X2 @ P )
% 2.66/1.53 = ( res @ B4 @ P5 ) )
% 2.66/1.53 => ! [P4: pi] :
% 2.66/1.53 ( ( Rs
% 2.66/1.53 = ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ B4 @ P4 ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P4 ) )
% 2.66/1.53 => ( A4 = B4 ) ) ) )
% 2.66/1.53 => ( ! [P5: pi,A4: late_subject,X3: name,P4: pi,Y3: name] :
% 2.66/1.53 ( ( ( res @ X2 @ P )
% 2.66/1.53 = ( res @ Y3 @ P5 ) )
% 2.66/1.53 => ( ( Rs
% 2.66/1.53 = ( late_BoundR @ A4 @ X3 @ ( res @ Y3 @ P4 ) ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Y3 @ A4 )
% 2.66/1.53 => ( ( Y3 != X3 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 2.66/1.53 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) )
% 2.66/1.53 => ~ ! [P5: pi,Alpha: late_freeRes,P4: pi,Y3: name] :
% 2.66/1.53 ( ( ( res @ X2 @ P )
% 2.66/1.53 = ( res @ Y3 @ P5 ) )
% 2.66/1.53 => ( ( Rs
% 2.66/1.53 = ( late_FreeR @ Alpha @ ( res @ Y3 @ P4 ) ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_FreeR @ Alpha @ P4 ) )
% 2.66/1.53 => ~ ( fresh @ name @ late_freeRes @ Y3 @ Alpha ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_145_resCasesB_H,axiom,
% 2.66/1.53 ! [X6: name,P: pi,A2: late_subject,Y4: name,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( res @ X6 @ P ) @ ( late_BoundR @ A2 @ Y4 @ P3 ) )
% 2.66/1.53 => ( ! [P5: pi,A4: name,B4: name] :
% 2.66/1.53 ( ( ( res @ X6 @ P )
% 2.66/1.53 = ( res @ B4 @ P5 ) )
% 2.66/1.53 => ! [P4: pi] :
% 2.66/1.53 ( ( ( late_BoundR @ A2 @ Y4 @ P3 )
% 2.66/1.53 = ( late_BoundR @ ( late_BoundOutputS @ A4 ) @ B4 @ P4 ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P4 ) )
% 2.66/1.53 => ( A4 = B4 ) ) ) )
% 2.66/1.53 => ~ ! [P5: pi,A4: late_subject,X3: name,P4: pi,Y3: name] :
% 2.66/1.53 ( ( ( res @ X6 @ P )
% 2.66/1.53 = ( res @ Y3 @ P5 ) )
% 2.66/1.53 => ( ( ( late_BoundR @ A2 @ Y4 @ P3 )
% 2.66/1.53 = ( late_BoundR @ A4 @ X3 @ ( res @ Y3 @ P4 ) ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ ( late_BoundR @ A4 @ X3 @ P4 ) )
% 2.66/1.53 => ( ( fresh @ name @ late_subject @ Y3 @ A4 )
% 2.66/1.53 => ( ( Y3 != X3 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X3 @ P5 )
% 2.66/1.53 => ~ ( fresh @ name @ late_subject @ X3 @ A4 ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_146_tauOutputTrans,axiom,
% 2.66/1.53 ! [P: pi,A2: name,B2: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_147_inputBoundOutputTrans,axiom,
% 2.66/1.53 ! [A2: name,X2: name,P: pi,B2: name,Y: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_BoundOutputS @ B2 ) @ Y @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_148_tauCases,axiom,
% 2.66/1.53 ! [P: pi,Alpha2: late_freeRes,P3: pi,Prop: late_freeRes > pi > $o] :
% 2.66/1.53 ( ( late_transitions @ ( tau @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( ( ( Alpha2 = late_TauR )
% 2.66/1.53 => ( ( P = P3 )
% 2.66/1.53 => ( Prop @ late_TauR @ P ) ) )
% 2.66/1.53 => ( Prop @ Alpha2 @ P3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_149_transitions_OClose2,axiom,
% 2.66/1.53 ! [P: pi,A2: name,Y: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ Q )
% 2.66/1.53 => ( ( X2 != A2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P3 )
% 2.66/1.53 => ( ( Y != A2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ Q3 )
% 2.66/1.53 => ( ( X2 != Y )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q3 @ X2 @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_150_transitions_OClose1,axiom,
% 2.66/1.53 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,Y: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ Q )
% 2.66/1.53 => ( ( X2 != A2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q3 )
% 2.66/1.53 => ( ( Y != A2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P3 )
% 2.66/1.53 => ( ( X2 != Y )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X2 @ Y ) @ Q3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_151_Late__Semantics_OClose2,axiom,
% 2.66/1.53 ! [P: pi,A2: name,Y: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ Q )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ P3 @ ( subs @ Q3 @ X2 @ Y ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_152_Late__Semantics_OClose1,axiom,
% 2.66/1.53 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,Y: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_BoundOutputS @ A2 ) @ Y @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ Y @ P )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( res @ Y @ ( par @ ( subs @ P3 @ X2 @ Y ) @ Q3 ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_153_name__fresh,axiom,
% 2.66/1.53 ( ( fresh @ name @ name )
% 2.66/1.53 = ( ^ [A6: name,B5: name] : ( A6 != B5 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_154_subject_Ofresh_I1_J,axiom,
% 2.66/1.53 ! [A2: name,X1: name] :
% 2.66/1.53 ( ( fresh @ name @ late_subject @ A2 @ ( late_InputS @ X1 ) )
% 2.66/1.53 = ( fresh @ name @ name @ A2 @ X1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_155_subject_Ostrong__inducts,axiom,
% 2.66/1.53 ! [A: $tType,P: A > late_subject > $o,Z: A,Subject: late_subject] :
% 2.66/1.53 ( ! [Name4: name,Z2: A] : ( P @ Z2 @ ( late_InputS @ Name4 ) )
% 2.66/1.53 => ( ! [Name4: name,Z2: A] : ( P @ Z2 @ ( late_BoundOutputS @ Name4 ) )
% 2.66/1.53 => ( P @ Z @ Subject ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_156_subject_Ostrong__induct_H,axiom,
% 2.66/1.53 ! [N: $tType,P: N > late_subject > $o,Z: N,Subject: late_subject] :
% 2.66/1.53 ( ! [Name4: name,Z2: N] : ( P @ Z2 @ ( late_InputS @ Name4 ) )
% 2.66/1.53 => ( ! [Name4: name,Z2: N] : ( P @ Z2 @ ( late_BoundOutputS @ Name4 ) )
% 2.66/1.53 => ( P @ Z @ Subject ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_157_subject_Oinducts,axiom,
% 2.66/1.53 ! [P: late_subject > $o,Subject: late_subject] :
% 2.66/1.53 ( ! [Name4: name] : ( P @ ( late_InputS @ Name4 ) )
% 2.66/1.53 => ( ! [Name4: name] : ( P @ ( late_BoundOutputS @ Name4 ) )
% 2.66/1.53 => ( P @ Subject ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_158_Late__Semantics_Osubject_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [Name3: name,Name: name] :
% 2.66/1.53 ( ( late_InputS @ Name3 )
% 2.66/1.53 != ( late_BoundOutputS @ Name ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_159_Late__Semantics_OInput,axiom,
% 2.66/1.53 ! [A2: name,X2: name,P: pi] : ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_160_transitions_OInput,axiom,
% 2.66/1.53 ! [X2: name,A2: name,P: pi] :
% 2.66/1.53 ( ( X2 != A2 )
% 2.66/1.53 => ( late_transitions @ ( input @ A2 @ X2 @ P ) @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_161_inputCases_H,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( input @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ~ ! [X3: name,A4: name,P5: pi] :
% 2.66/1.53 ( ( ( A2 = A4 )
% 2.66/1.53 & ( ( abs_fun @ name @ pi @ B2 @ P )
% 2.66/1.53 = ( abs_fun @ name @ pi @ X3 @ P5 ) ) )
% 2.66/1.53 => ( ( Rs
% 2.66/1.53 = ( late_BoundR @ ( late_InputS @ A4 ) @ X3 @ P5 ) )
% 2.66/1.53 => ( X3 = A4 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_162_Late__Semantics_OComm1,axiom,
% 2.66/1.53 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,B2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ Q3 ) )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X2 @ B2 ) @ Q3 ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_163_Late__Semantics_OComm2,axiom,
% 2.66/1.53 ! [P: pi,A2: name,B2: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q3 @ X2 @ B2 ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_164_transitions_OComm2,axiom,
% 2.66/1.53 ! [P: pi,A2: name,B2: name,P3: pi,Q: pi,X2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( X2 != A2 )
% 2.66/1.53 => ( ( X2 != B2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P3 )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ P3 @ ( subs @ Q3 @ X2 @ B2 ) ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_165_transitions_OComm1,axiom,
% 2.66/1.53 ! [P: pi,A2: name,X2: name,P3: pi,Q: pi,B2: name,Q3: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ ( late_BoundR @ ( late_InputS @ A2 ) @ X2 @ P3 ) )
% 2.66/1.53 => ( ( late_transitions @ Q @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ Q3 ) )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ P )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q )
% 2.66/1.53 => ( ( X2 != A2 )
% 2.66/1.53 => ( ( X2 != B2 )
% 2.66/1.53 => ( ( fresh @ name @ pi @ X2 @ Q3 )
% 2.66/1.53 => ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ late_TauR @ ( par @ ( subs @ P3 @ X2 @ B2 ) @ Q3 ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_166_Late__Semantics1_Osubject_Oinject_I1_J,axiom,
% 2.66/1.53 ! [X1: name,Y1: name] :
% 2.66/1.53 ( ( ( late_InputS @ X1 )
% 2.66/1.53 = ( late_InputS @ Y1 ) )
% 2.66/1.53 = ( X1 = Y1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_167_Late__Semantics1_Osubject_Oinject_I2_J,axiom,
% 2.66/1.53 ! [X22: name,Y2: name] :
% 2.66/1.53 ( ( ( late_BoundOutputS @ X22 )
% 2.66/1.53 = ( late_BoundOutputS @ Y2 ) )
% 2.66/1.53 = ( X22 = Y2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_168_Late__Semantics1_OfreeRes_Oinject,axiom,
% 2.66/1.53 ! [X11: name,X12: name,Y11: name,Y12: name] :
% 2.66/1.53 ( ( ( late_OutputR @ X11 @ X12 )
% 2.66/1.53 = ( late_OutputR @ Y11 @ Y12 ) )
% 2.66/1.53 = ( ( X11 = Y11 )
% 2.66/1.53 & ( X12 = Y12 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_169_freeRes_Oexhaust,axiom,
% 2.66/1.53 ! [Y: late_freeRes] :
% 2.66/1.53 ( ! [X112: name,X122: name] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( late_OutputR @ X112 @ X122 ) )
% 2.66/1.53 => ( Y = late_TauR ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_170_Late__Semantics1_OfreeRes_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [X11: name,X12: name] :
% 2.66/1.53 ( ( late_OutputR @ X11 @ X12 )
% 2.66/1.53 != late_TauR ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_171_Late__Semantics1_Osubject_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [X1: name,X22: name] :
% 2.66/1.53 ( ( late_InputS @ X1 )
% 2.66/1.53 != ( late_BoundOutputS @ X22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_172_subject_Oexhaust,axiom,
% 2.66/1.53 ! [Y: late_subject] :
% 2.66/1.53 ( ! [X13: name] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( late_InputS @ X13 ) )
% 2.66/1.53 => ~ ! [X23: name] :
% 2.66/1.53 ( Y
% 2.66/1.53 != ( late_BoundOutputS @ X23 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_173_freeRes_Orecs_I2_J,axiom,
% 2.66/1.53 ! [T: $tType,P: T > $o,F1: name > name > T,F22: T] :
% 2.66/1.53 ( ! [X13: name,X23: name] : ( P @ ( F1 @ X13 @ X23 ) )
% 2.66/1.53 => ( ( P @ F22 )
% 2.66/1.53 => ( ( late_freeRes_rec @ T @ F1 @ F22 @ late_TauR )
% 2.66/1.53 = F22 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_174_subject_Orecs_I2_J,axiom,
% 2.66/1.53 ! [T: $tType,P: T > $o,F1: name > T,F22: name > T,Name3: name] :
% 2.66/1.53 ( ! [X13: name] : ( P @ ( F1 @ X13 ) )
% 2.66/1.53 => ( ! [X13: name] : ( P @ ( F22 @ X13 ) )
% 2.66/1.53 => ( ( late_subject_rec @ T @ F1 @ F22 @ ( late_BoundOutputS @ Name3 ) )
% 2.66/1.53 = ( F22 @ Name3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_175_subject_Orecs_I1_J,axiom,
% 2.66/1.53 ! [T: $tType,P: T > $o,F1: name > T,F22: name > T,Name3: name] :
% 2.66/1.53 ( ! [X13: name] : ( P @ ( F1 @ X13 ) )
% 2.66/1.53 => ( ! [X13: name] : ( P @ ( F22 @ X13 ) )
% 2.66/1.53 => ( ( late_subject_rec @ T @ F1 @ F22 @ ( late_InputS @ Name3 ) )
% 2.66/1.53 = ( F1 @ Name3 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_176_freeRes_Orecs_I1_J,axiom,
% 2.66/1.53 ! [T: $tType,P: T > $o,F1: name > name > T,F22: T,Name12: name,Name22: name] :
% 2.66/1.53 ( ! [X13: name,X23: name] : ( P @ ( F1 @ X13 @ X23 ) )
% 2.66/1.53 => ( ( P @ F22 )
% 2.66/1.53 => ( ( late_freeRes_rec @ T @ F1 @ F22 @ ( late_OutputR @ Name12 @ Name22 ) )
% 2.66/1.53 = ( F1 @ Name12 @ Name22 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_177_resOutputTauTrans,axiom,
% 2.66/1.53 ! [X2: name,A2: name,B2: name,P: pi,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ B2 @ P ) ) @ ( late_FreeR @ late_TauR @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_178_resOutputInputTrans,axiom,
% 2.66/1.53 ! [X2: name,A2: name,B2: name,P: pi,C2: name,Y: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ B2 @ P ) ) @ ( late_BoundR @ ( late_InputS @ C2 ) @ Y @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_179_resOutputOutputTrans,axiom,
% 2.66/1.53 ! [X2: name,A2: name,P: pi,B2: name,Y: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( output @ A2 @ X2 @ P ) ) @ ( late_FreeR @ ( late_OutputR @ B2 @ Y ) @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_180_pi_Ofresh_I2_J,axiom,
% 2.66/1.53 ! [A2: name,X32: name,X22: name,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( output @ X32 @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ name @ A2 @ X32 )
% 2.66/1.53 & ( fresh @ name @ name @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_181_pi_Odistinct_I31_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_182_pi_Odistinct_I29_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_183_pi_Odistinct_I21_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( input @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_184_pi_Odistinct_I1_J,axiom,
% 2.66/1.53 ! [Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( output @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_185_pi_Odistinct_I19_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( tau @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_186_pi_Oinject_I1_J,axiom,
% 2.66/1.53 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 2.66/1.53 ( ( ( output @ X32 @ X22 @ X1 )
% 2.66/1.53 = ( output @ Y32 @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X32 = Y32 )
% 2.66/1.53 & ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_187_resTrans_I1_J,axiom,
% 2.66/1.53 ! [X2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ ( res @ X2 @ ( output @ X2 @ B2 @ P ) ) @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_188_outputBoundTrans,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,C2: late_subject,X2: name,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_BoundR @ C2 @ X2 @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_189_nilSim_I3_J,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,B2: name,P: pi] :
% 2.66/1.53 ~ ( strong743114133lation @ piNil @ Rel @ ( output @ A2 @ B2 @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_190_outputCases,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Alpha2: late_freeRes,P3: pi,Prop: late_freeRes > pi > $o] :
% 2.66/1.53 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ( ( ( Alpha2
% 2.66/1.53 = ( late_OutputR @ A2 @ B2 ) )
% 2.66/1.53 => ( ( P = P3 )
% 2.66/1.53 => ( Prop @ ( late_OutputR @ A2 @ B2 ) @ P ) ) )
% 2.66/1.53 => ( Prop @ Alpha2 @ P3 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_191_outputCases_H,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ~ ! [A4: name,B4: name,P5: pi] :
% 2.66/1.53 ( ( ( A2 = A4 )
% 2.66/1.53 & ( B2 = B4 )
% 2.66/1.53 & ( P = P5 ) )
% 2.66/1.53 => ( Rs
% 2.66/1.53 != ( late_FreeR @ ( late_OutputR @ A4 @ B4 ) @ P5 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_192_outputIneqTrans,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,C2: name,D: name,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ C2 @ D ) @ P3 ) )
% 2.66/1.53 => ~ ( ( A2 != C2 )
% 2.66/1.53 | ( B2 != D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_193_Output,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi] : ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ ( late_OutputR @ A2 @ B2 ) @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_194_outputTauTrans,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,P3: pi] :
% 2.66/1.53 ~ ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ late_TauR @ P3 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_195_outputFreshTrans,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Alpha2: late_freeRes,P3: pi] :
% 2.66/1.53 ( ( late_transitions @ ( output @ A2 @ B2 @ P ) @ ( late_FreeR @ Alpha2 @ P3 ) )
% 2.66/1.53 => ~ ( ( fresh @ name @ late_freeRes @ A2 @ Alpha2 )
% 2.66/1.53 | ( fresh @ name @ late_freeRes @ B2 @ Alpha2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_196_simps_I3_J,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( output @ A2 @ B2 @ P ) @ C2 @ D )
% 2.66/1.53 = ( output @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_197_simps_I4_J,axiom,
% 2.66/1.53 ! [X2: name,A2: name,C2: name,D: name,P: pi] :
% 2.66/1.53 ( ( X2 != A2 )
% 2.66/1.53 => ( ( X2 != C2 )
% 2.66/1.53 => ( ( X2 != D )
% 2.66/1.53 => ( ( subs @ ( input @ A2 @ X2 @ P ) @ C2 @ D )
% 2.66/1.53 = ( input @ ( subst_name @ A2 @ C2 @ D ) @ X2 @ ( subs @ P @ C2 @ D ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_198_substInput,axiom,
% 2.66/1.53 ! [X2: name,B2: name,C2: name,A2: name,P: pi] :
% 2.66/1.53 ( ( X2 != B2 )
% 2.66/1.53 => ( ( X2 != C2 )
% 2.66/1.53 => ( ( subs @ ( input @ A2 @ X2 @ P ) @ B2 @ C2 )
% 2.66/1.53 = ( input @ ( subst_name @ A2 @ B2 @ C2 ) @ X2 @ ( subs @ P @ B2 @ C2 ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_199_subst__name__def,axiom,
% 2.66/1.53 ( subst_name
% 2.66/1.53 = ( ^ [A6: name,B5: name,C5: name] : ( if @ name @ ( A6 = B5 ) @ C5 @ A6 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_200_simps_I6_J,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( mismatch @ A2 @ B2 @ P ) @ C2 @ D )
% 2.66/1.53 = ( mismatch @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_201_simps_I5_J,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( match @ A2 @ B2 @ P ) @ C2 @ D )
% 2.66/1.53 = ( match @ ( subst_name @ A2 @ C2 @ D ) @ ( subst_name @ B2 @ C2 @ D ) @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_202_pi_Ofresh_I5_J,axiom,
% 2.66/1.53 ! [A2: name,X32: name,X22: name,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( match @ X32 @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ name @ A2 @ X32 )
% 2.66/1.53 & ( fresh @ name @ name @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_203_pi_Ofresh_I6_J,axiom,
% 2.66/1.53 ! [A2: name,X32: name,X22: name,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( mismatch @ X32 @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ name @ A2 @ X32 )
% 2.66/1.53 & ( fresh @ name @ name @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_204_matchCases,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual,F3: name > name > $o] :
% 2.66/1.53 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ( ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( ( A2 = B2 )
% 2.66/1.53 => ( F3 @ A2 @ A2 ) ) )
% 2.66/1.53 => ( F3 @ A2 @ B2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_205_matchTrans,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ( A2 = B2 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_206_matchCases_H,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( match @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ~ ! [P5: pi] :
% 2.66/1.53 ( ( ( B2 = A2 )
% 2.66/1.53 & ( P = P5 ) )
% 2.66/1.53 => ~ ( late_transitions @ P5 @ Rs ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_207_mismatchCases,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual,F3: name > name > $o] :
% 2.66/1.53 ( ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ( ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( ( A2 != B2 )
% 2.66/1.53 => ( F3 @ A2 @ B2 ) ) )
% 2.66/1.53 => ( F3 @ A2 @ B2 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_208_mismatchTrans,axiom,
% 2.66/1.53 ! [A2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ~ ( late_transitions @ ( mismatch @ A2 @ A2 @ P ) @ Rs ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_209_mismatchCases_H,axiom,
% 2.66/1.53 ! [A2: name,B2: name,P: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs )
% 2.66/1.53 => ~ ! [P5: pi,A4: name,B4: name] :
% 2.66/1.53 ( ( ( A2 = A4 )
% 2.66/1.53 & ( B2 = B4 )
% 2.66/1.53 & ( P = P5 ) )
% 2.66/1.53 => ( ( late_transitions @ P5 @ Rs )
% 2.66/1.53 => ( A4 = B4 ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_210_Match,axiom,
% 2.66/1.53 ! [P: pi,Rs: late_residual,B2: name] :
% 2.66/1.53 ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( late_transitions @ ( match @ B2 @ B2 @ P ) @ Rs ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_211_Mismatch,axiom,
% 2.66/1.53 ! [P: pi,Rs: late_residual,A2: name,B2: name] :
% 2.66/1.53 ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( ( A2 != B2 )
% 2.66/1.53 => ( late_transitions @ ( mismatch @ A2 @ B2 @ P ) @ Rs ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_212_pi_Odistinct_I67_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( match @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_213_pi_Odistinct_I75_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_214_pi_Odistinct_I65_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( match @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_215_pi_Odistinct_I73_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_216_pi_Odistinct_I49_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( input @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_217_pi_Odistinct_I51_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( input @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_218_pi_Odistinct_I7_J,axiom,
% 2.66/1.53 ! [Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_219_pi_Odistinct_I9_J,axiom,
% 2.66/1.53 ! [Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_220_pi_Odistinct_I37_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_221_pi_Odistinct_I39_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_222_pi_Oinject_I5_J,axiom,
% 2.66/1.53 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 2.66/1.53 ( ( ( mismatch @ X32 @ X22 @ X1 )
% 2.66/1.53 = ( mismatch @ Y32 @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X32 = Y32 )
% 2.66/1.53 & ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_223_pi_Oinject_I4_J,axiom,
% 2.66/1.53 ! [X32: name,X22: name,X1: pi,Y32: name,Y2: name,Y1: pi] :
% 2.66/1.53 ( ( ( match @ X32 @ X22 @ X1 )
% 2.66/1.53 = ( match @ Y32 @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X32 = Y32 )
% 2.66/1.53 & ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_224_pi_Odistinct_I61_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( match @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_225_pi_Odistinct_I23_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( match @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_226_pi_Odistinct_I25_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Name1: name,Name2: name,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( mismatch @ Name1 @ Name2 @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_227_matchNilLeft,axiom,
% 2.66/1.53 ! [A2: name,B2: name,Rel: set @ ( product_prod @ pi @ pi ),P: pi] :
% 2.66/1.53 ( ( A2 != B2 )
% 2.66/1.53 => ( strong743114133lation @ piNil @ Rel @ ( match @ A2 @ B2 @ P ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_228_mismatchNilLeft,axiom,
% 2.66/1.53 ! [Rel: set @ ( product_prod @ pi @ pi ),A2: name,P: pi] : ( strong743114133lation @ piNil @ Rel @ ( mismatch @ A2 @ A2 @ P ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_229_pi_Ostrong__induct,axiom,
% 2.66/1.53 ! [N: $tType] :
% 2.66/1.53 ( ( fs_name @ N )
% 2.66/1.53 => ! [P: N > pi > $o,Z: N,Pi3: pi] :
% 2.66/1.53 ( ! [Z2: N] : ( P @ Z2 @ piNil )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( output @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Pi4: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( tau @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ( fresh @ name @ N @ Name23 @ Z2 )
% 2.66/1.53 => ( ( fresh @ name @ name @ Name23 @ Name13 )
% 2.66/1.53 => ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( input @ Name13 @ Name23 @ Pi4 ) ) ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( match @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( mismatch @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Pi13: pi,Pi23: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi13 )
% 2.66/1.53 => ( ! [Za: N] : ( P @ Za @ Pi23 )
% 2.66/1.53 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.66/1.53 => ( ! [Pi13: pi,Pi23: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi13 )
% 2.66/1.53 => ( ! [Za: N] : ( P @ Za @ Pi23 )
% 2.66/1.53 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.66/1.53 => ( ! [Name4: name,Pi4: pi,Z2: N] :
% 2.66/1.53 ( ( fresh @ name @ N @ Name4 @ Z2 )
% 2.66/1.53 => ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( res @ Name4 @ Pi4 ) ) ) )
% 2.66/1.53 => ( ! [Pi4: pi,Z2: N] :
% 2.66/1.53 ( ! [Za: N] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( bang @ Pi4 ) ) )
% 2.66/1.53 => ( P @ Z @ Pi3 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_230_pi_Ostrong__inducts,axiom,
% 2.66/1.53 ! [A: $tType] :
% 2.66/1.53 ( ( fs_name @ A )
% 2.66/1.53 => ! [P: A > pi > $o,Z: A,Pi3: pi] :
% 2.66/1.53 ( ! [Z2: A] : ( P @ Z2 @ piNil )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( output @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Pi4: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( tau @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ( fresh @ name @ A @ Name23 @ Z2 )
% 2.66/1.53 => ( ( fresh @ name @ name @ Name23 @ Name13 )
% 2.66/1.53 => ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( input @ Name13 @ Name23 @ Pi4 ) ) ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( match @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Name13: name,Name23: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( mismatch @ Name13 @ Name23 @ Pi4 ) ) )
% 2.66/1.53 => ( ! [Pi13: pi,Pi23: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi13 )
% 2.66/1.53 => ( ! [Za: A] : ( P @ Za @ Pi23 )
% 2.66/1.53 => ( P @ Z2 @ ( sum @ Pi13 @ Pi23 ) ) ) )
% 2.66/1.53 => ( ! [Pi13: pi,Pi23: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi13 )
% 2.66/1.53 => ( ! [Za: A] : ( P @ Za @ Pi23 )
% 2.66/1.53 => ( P @ Z2 @ ( par @ Pi13 @ Pi23 ) ) ) )
% 2.66/1.53 => ( ! [Name4: name,Pi4: pi,Z2: A] :
% 2.66/1.53 ( ( fresh @ name @ A @ Name4 @ Z2 )
% 2.66/1.53 => ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( res @ Name4 @ Pi4 ) ) ) )
% 2.66/1.53 => ( ! [Pi4: pi,Z2: A] :
% 2.66/1.53 ( ! [Za: A] : ( P @ Za @ Pi4 )
% 2.66/1.53 => ( P @ Z2 @ ( bang @ Pi4 ) ) )
% 2.66/1.53 => ( P @ Z @ Pi3 ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_231_pi_Ofresh_I10_J,axiom,
% 2.66/1.53 ! [A2: name,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( bang @ X1 ) )
% 2.66/1.53 = ( fresh @ name @ pi @ A2 @ X1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_232_pi_Ofresh_I7_J,axiom,
% 2.66/1.53 ! [A2: name,X22: pi,X1: pi] :
% 2.66/1.53 ( ( fresh @ name @ pi @ A2 @ ( sum @ X22 @ X1 ) )
% 2.66/1.53 = ( ( fresh @ name @ pi @ A2 @ X22 )
% 2.66/1.53 & ( fresh @ name @ pi @ A2 @ X1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_233_simps_I10_J,axiom,
% 2.66/1.53 ! [P: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( bang @ P ) @ C2 @ D )
% 2.66/1.53 = ( bang @ ( subs @ P @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_234_simps_I7_J,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,C2: name,D: name] :
% 2.66/1.53 ( ( subs @ ( sum @ P @ Q ) @ C2 @ D )
% 2.66/1.53 = ( sum @ ( subs @ P @ C2 @ D ) @ ( subs @ Q @ C2 @ D ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_235_pi_Odistinct_I77_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_236_pi_Odistinct_I71_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( mismatch @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_237_pi_Odistinct_I69_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( match @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_238_pi_Odistinct_I63_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( match @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_239_pi_Odistinct_I33_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_240_pi_Odistinct_I27_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( output @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_241_pi_Odistinct_I89_J,axiom,
% 2.66/1.53 ! [Name3: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( res @ Name3 @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_242_pi_Odistinct_I87_J,axiom,
% 2.66/1.53 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 2.66/1.53 ( ( par @ Pi1 @ Pi2 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_243_pi_Odistinct_I59_J,axiom,
% 2.66/1.53 ! [Name12: name,Name22: name,Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( input @ Name12 @ Name22 @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_244_pi_Odistinct_I17_J,axiom,
% 2.66/1.53 ! [Pi: pi] :
% 2.66/1.53 ( piNil
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_245_Sum2,axiom,
% 2.66/1.53 ! [Q: pi,Rs: late_residual,P: pi] :
% 2.66/1.53 ( ( late_transitions @ Q @ Rs )
% 2.66/1.53 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_246_Sum1,axiom,
% 2.66/1.53 ! [P: pi,Rs: late_residual,Q: pi] :
% 2.66/1.53 ( ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( late_transitions @ ( sum @ P @ Q ) @ Rs ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_247_sumCases_H,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 2.66/1.53 => ( ~ ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( late_transitions @ Q @ Rs ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_248_sumCases,axiom,
% 2.66/1.53 ! [P: pi,Q: pi,Rs: late_residual] :
% 2.66/1.53 ( ( late_transitions @ ( sum @ P @ Q ) @ Rs )
% 2.66/1.53 => ( ~ ( late_transitions @ P @ Rs )
% 2.66/1.53 => ( late_transitions @ Q @ Rs ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_249_pi_Odistinct_I47_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Pi: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_250_pi_Odistinct_I81_J,axiom,
% 2.66/1.53 ! [Pi1: pi,Pi2: pi,Name: name,Pi: pi] :
% 2.66/1.53 ( ( sum @ Pi1 @ Pi2 )
% 2.66/1.53 != ( res @ Name @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_251_pi_Odistinct_I79_J,axiom,
% 2.66/1.53 ! [Pi1: pi,Pi2: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( sum @ Pi1 @ Pi2 )
% 2.66/1.53 != ( par @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_252_pi_Odistinct_I83_J,axiom,
% 2.66/1.53 ! [Pi1: pi,Pi2: pi,Pi: pi] :
% 2.66/1.53 ( ( sum @ Pi1 @ Pi2 )
% 2.66/1.53 != ( bang @ Pi ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_253_pi_Oinject_I6_J,axiom,
% 2.66/1.53 ! [X22: pi,X1: pi,Y2: pi,Y1: pi] :
% 2.66/1.53 ( ( ( sum @ X22 @ X1 )
% 2.66/1.53 = ( sum @ Y2 @ Y1 ) )
% 2.66/1.53 = ( ( X22 = Y2 )
% 2.66/1.53 & ( X1 = Y1 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_254_pi_Oinject_I9_J,axiom,
% 2.66/1.53 ! [X1: pi,Y1: pi] :
% 2.66/1.53 ( ( ( bang @ X1 )
% 2.66/1.53 = ( bang @ Y1 ) )
% 2.66/1.53 = ( X1 = Y1 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(fact_255_pi_Odistinct_I41_J,axiom,
% 2.66/1.53 ! [Pi3: pi,Pi12: pi,Pi22: pi] :
% 2.66/1.53 ( ( tau @ Pi3 )
% 2.66/1.53 != ( sum @ Pi12 @ Pi22 ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Agent_Opi___Agent_Ofs__name,axiom,
% 2.66/1.53 fs_name @ pi ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_HOL_Obool___Agent_Ofs__name_1,axiom,
% 2.66/1.53 fs_name @ $o ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Agent_Oname___Agent_Ofs__name_2,axiom,
% 2.66/1.53 fs_name @ name ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Product__Type_Oprod___Agent_Ofs__name_3,axiom,
% 2.66/1.53 ! [A7: $tType,A8: $tType] :
% 2.66/1.53 ( ( ( fs_name @ A7 )
% 2.66/1.53 & ( fs_name @ A8 ) )
% 2.66/1.53 => ( fs_name @ ( product_prod @ A7 @ A8 ) ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Late__Semantics_OfreeRes___Agent_Ofs__name_4,axiom,
% 2.66/1.53 fs_name @ late_freeRes ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Late__Semantics_Osubject___Agent_Ofs__name_5,axiom,
% 2.66/1.53 fs_name @ late_subject ).
% 2.66/1.53
% 2.66/1.53 thf(tcon_Late__Semantics_Oresidual___Agent_Ofs__name_6,axiom,
% 2.66/1.53 fs_name @ late_residual ).
% 2.66/1.53
% 2.66/1.53 thf(help_If_3_1_T,axiom,
% 2.66/1.53 ! [P: $o] :
% 2.66/1.53 ( ( P = $true )
% 2.66/1.53 | ( P = $false ) ) ).
% 2.66/1.53
% 2.66/1.53 thf(help_If_2_1_T,axiom,
% 2.66/1.53 ! [A: $tType,X2: A,Y: A] :
% 2.66/1.53 ( ( if @ A @ $false @ X2 @ Y )
% 2.66/1.53 = Y ) ).
% 2.66/1.53
% 2.66/1.53 thf(help_If_1_1_T,axiom,
% 2.66/1.53 ! [A: $tType,X2: A,Y: A] :
% 2.66/1.53 ( ( if @ A @ $true @ X2 @ Y )
% 2.66/1.53 = X2 ) ).
% 2.66/1.53
% 2.66/1.53 thf(conj_0,conjecture,
% 2.66/1.53 member @ ( product_prod @ pi @ pi ) @ ( product_Pair @ pi @ pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ).
% 2.66/1.53 ------------------------
% 2.66/1.55 % (7157)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/183Mi)
% 2.66/1.55 % (7158)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/4Mi)
% 2.66/1.55 % (7160)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/2Mi)
% 2.66/1.55 % (7160)Instruction limit reached!
% 2.66/1.55 % (7160)------------------------------
% 2.66/1.55 % (7160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.55 % (7160)Termination reason: Unknown
% 2.66/1.55 % (7160)Termination phase: shuffling
% 2.66/1.55
% 2.66/1.55 % (7160)Memory used [KB]: 1407
% 2.66/1.55 % (7160)Time elapsed: 0.002 s
% 2.66/1.55 % (7160)Instructions burned: 3 (million)
% 2.66/1.55 % (7160)------------------------------
% 2.66/1.55 % (7160)------------------------------
% 2.66/1.55 % (7158)Instruction limit reached!
% 2.66/1.55 % (7158)------------------------------
% 2.66/1.55 % (7158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.55 % (7158)Termination reason: Unknown
% 2.66/1.55 % (7158)Termination phase: shuffling
% 2.66/1.55
% 2.66/1.55 % (7158)Memory used [KB]: 1535
% 2.66/1.55 % (7158)Time elapsed: 0.003 s
% 2.66/1.55 % (7158)Instructions burned: 7 (million)
% 2.66/1.55 % (7158)------------------------------
% 2.66/1.55 % (7158)------------------------------
% 2.66/1.56 % (7159)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/27Mi)
% 2.66/1.56 % (7161)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/2Mi)
% 2.66/1.56 % (7162)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/275Mi)
% 2.66/1.56 % (7163)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/18Mi)
% 2.66/1.56 % (7161)Instruction limit reached!
% 2.66/1.56 % (7161)------------------------------
% 2.66/1.56 % (7161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.56 % (7161)Termination reason: Unknown
% 2.66/1.56 % (7161)Termination phase: shuffling
% 2.66/1.56
% 2.66/1.56 % (7161)Memory used [KB]: 1407
% 2.66/1.56 % (7161)Time elapsed: 0.004 s
% 2.66/1.56 % (7161)Instructions burned: 3 (million)
% 2.66/1.56 % (7161)------------------------------
% 2.66/1.56 % (7161)------------------------------
% 2.66/1.56 % (7164)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/3Mi)
% 2.66/1.56 % (7165)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/37Mi)
% 2.66/1.56 % (7164)Instruction limit reached!
% 2.66/1.56 % (7164)------------------------------
% 2.66/1.56 % (7164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.56 % (7164)Termination reason: Unknown
% 2.66/1.56 % (7164)Termination phase: shuffling
% 2.66/1.56
% 2.66/1.56 % (7164)Memory used [KB]: 1407
% 2.66/1.56 % (7164)Time elapsed: 0.003 s
% 2.66/1.56 % (7164)Instructions burned: 4 (million)
% 2.66/1.56 % (7164)------------------------------
% 2.66/1.56 % (7164)------------------------------
% 2.66/1.57 % (7163)Instruction limit reached!
% 2.66/1.57 % (7163)------------------------------
% 2.66/1.57 % (7163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.57 % (7163)Termination reason: Unknown
% 2.66/1.57 % (7163)Termination phase: shuffling
% 2.66/1.57
% 2.66/1.57 % (7163)Memory used [KB]: 1663
% 2.66/1.57 % (7163)Time elapsed: 0.013 s
% 2.66/1.57 % (7163)Instructions burned: 18 (million)
% 2.66/1.57 % (7163)------------------------------
% 2.66/1.57 % (7163)------------------------------
% 2.66/1.57 % (7167)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/3Mi)
% 2.66/1.57 % (7165)Instruction limit reached!
% 2.66/1.57 % (7165)------------------------------
% 2.66/1.57 % (7165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.57 % (7165)Termination reason: Unknown
% 2.66/1.57 % (7165)Termination phase: shuffling
% 2.66/1.57
% 2.66/1.57 % (7165)Memory used [KB]: 2174
% 2.66/1.57 % (7165)Time elapsed: 0.013 s
% 2.66/1.57 % (7165)Instructions burned: 39 (million)
% 2.66/1.57 % (7165)------------------------------
% 2.66/1.57 % (7165)------------------------------
% 2.66/1.57 % (7167)Instruction limit reached!
% 2.66/1.57 % (7167)------------------------------
% 2.66/1.57 % (7167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.57 % (7167)Termination reason: Unknown
% 2.66/1.57 % (7167)Termination phase: shuffling
% 2.66/1.57
% 2.66/1.57 % (7167)Memory used [KB]: 1407
% 2.66/1.57 % (7167)Time elapsed: 0.003 s
% 2.66/1.57 % (7167)Instructions burned: 4 (million)
% 2.66/1.57 % (7167)------------------------------
% 2.66/1.57 % (7167)------------------------------
% 2.66/1.57 % (7159)Instruction limit reached!
% 2.66/1.57 % (7159)------------------------------
% 2.66/1.57 % (7159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.57 % (7159)Termination reason: Unknown
% 2.66/1.57 % (7159)Termination phase: Property scanning
% 2.66/1.57
% 2.66/1.57 % (7159)Memory used [KB]: 1918
% 2.66/1.57 % (7159)Time elapsed: 0.019 s
% 2.66/1.57 % (7159)Instructions burned: 28 (million)
% 2.66/1.57 % (7159)------------------------------
% 2.66/1.57 % (7159)------------------------------
% 2.66/1.57 % (7166)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/15Mi)
% 2.66/1.58 % (7170)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/16Mi)
% 2.66/1.58 % (7169)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/7Mi)
% 2.66/1.58 % (7166)Instruction limit reached!
% 2.66/1.58 % (7166)------------------------------
% 2.66/1.58 % (7166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.58 % (7166)Termination reason: Unknown
% 2.66/1.58 % (7166)Termination phase: shuffling
% 2.66/1.58
% 2.66/1.58 % (7166)Memory used [KB]: 1663
% 2.66/1.58 % (7166)Time elapsed: 0.011 s
% 2.66/1.58 % (7166)Instructions burned: 15 (million)
% 2.66/1.58 % (7166)------------------------------
% 2.66/1.58 % (7166)------------------------------
% 2.66/1.58 % (7168)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/1041Mi)
% 2.66/1.58 % (7169)Instruction limit reached!
% 2.66/1.58 % (7169)------------------------------
% 2.66/1.58 % (7169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.58 % (7169)Termination reason: Unknown
% 2.66/1.58 % (7169)Termination phase: shuffling
% 2.66/1.58
% 2.66/1.58 % (7169)Memory used [KB]: 1535
% 2.66/1.58 % (7169)Time elapsed: 0.005 s
% 2.66/1.58 % (7169)Instructions burned: 9 (million)
% 2.66/1.58 % (7169)------------------------------
% 2.66/1.58 % (7169)------------------------------
% 2.66/1.59 % (7170)Instruction limit reached!
% 2.66/1.59 % (7170)------------------------------
% 2.66/1.59 % (7170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.59 % (7170)Termination reason: Unknown
% 2.66/1.59 % (7170)Termination phase: shuffling
% 2.66/1.59
% 2.66/1.59 % (7170)Memory used [KB]: 1663
% 2.66/1.59 % (7170)Time elapsed: 0.007 s
% 2.66/1.59 % (7170)Instructions burned: 18 (million)
% 2.66/1.59 % (7170)------------------------------
% 2.66/1.59 % (7170)------------------------------
% 2.66/1.59 % (7171)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/3Mi)
% 2.66/1.59 % (7171)Instruction limit reached!
% 2.66/1.59 % (7171)------------------------------
% 2.66/1.59 % (7171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.66/1.59 % (7171)Termination reason: Unknown
% 2.66/1.59 % (7171)Termination phase: shuffling
% 2.66/1.59
% 2.66/1.59 % (7171)Memory used [KB]: 1407
% 2.66/1.59 % (7171)Time elapsed: 0.004 s
% 2.66/1.59 % (7171)Instructions burned: 3 (million)
% 2.66/1.59 % (7171)------------------------------
% 2.66/1.59 % (7171)------------------------------
% 2.66/1.59 % (7173)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/7Mi)
% 2.66/1.60 % (7174)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/3Mi)
% 2.69/1.60 % (7173)Instruction limit reached!
% 2.69/1.60 % (7173)------------------------------
% 2.69/1.60 % (7173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.60 % (7173)Termination reason: Unknown
% 2.69/1.60 % (7173)Termination phase: shuffling
% 2.69/1.60
% 2.69/1.60 % (7173)Memory used [KB]: 1535
% 2.69/1.60 % (7173)Time elapsed: 0.004 s
% 2.69/1.60 % (7173)Instructions burned: 7 (million)
% 2.69/1.60 % (7173)------------------------------
% 2.69/1.60 % (7173)------------------------------
% 2.69/1.60 % (7174)Instruction limit reached!
% 2.69/1.60 % (7174)------------------------------
% 2.69/1.60 % (7174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.60 % (7174)Termination reason: Unknown
% 2.69/1.60 % (7174)Termination phase: shuffling
% 2.69/1.60
% 2.69/1.60 % (7174)Memory used [KB]: 1407
% 2.69/1.60 % (7174)Time elapsed: 0.002 s
% 2.69/1.60 % (7174)Instructions burned: 3 (million)
% 2.69/1.60 % (7174)------------------------------
% 2.69/1.60 % (7174)------------------------------
% 2.69/1.60 % (7157)Instruction limit reached!
% 2.69/1.60 % (7157)------------------------------
% 2.69/1.60 % (7157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.60 % (7157)Termination reason: Unknown
% 2.69/1.60 % (7157)Termination phase: Saturation
% 2.69/1.60
% 2.69/1.60 % (7157)Memory used [KB]: 7291
% 2.69/1.60 % (7157)Time elapsed: 0.052 s
% 2.69/1.60 % (7157)Instructions burned: 184 (million)
% 2.69/1.60 % (7157)------------------------------
% 2.69/1.60 % (7157)------------------------------
% 2.69/1.60 % (7172)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/3Mi)
% 2.69/1.60 % (7172)Instruction limit reached!
% 2.69/1.60 % (7172)------------------------------
% 2.69/1.60 % (7172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.60 % (7172)Termination reason: Unknown
% 2.69/1.60 % (7172)Termination phase: shuffling
% 2.69/1.60
% 2.69/1.60 % (7172)Memory used [KB]: 1407
% 2.69/1.60 % (7172)Time elapsed: 0.004 s
% 2.69/1.60 % (7172)Instructions burned: 3 (million)
% 2.69/1.60 % (7172)------------------------------
% 2.69/1.60 % (7172)------------------------------
% 2.69/1.61 % (7177)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/710Mi)
% 2.69/1.61 % (7176)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/18Mi)
% 2.69/1.61 % (7178)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/6Mi)
% 2.69/1.61 % (7175)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/4Mi)
% 2.69/1.61 % (7178)Instruction limit reached!
% 2.69/1.61 % (7178)------------------------------
% 2.69/1.61 % (7178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.61 % (7178)Termination reason: Unknown
% 2.69/1.61 % (7178)Termination phase: shuffling
% 2.69/1.61
% 2.69/1.61 % (7178)Memory used [KB]: 1407
% 2.69/1.61 % (7178)Time elapsed: 0.003 s
% 2.69/1.61 % (7178)Instructions burned: 6 (million)
% 2.69/1.61 % (7178)------------------------------
% 2.69/1.61 % (7178)------------------------------
% 2.69/1.61 % (7175)Instruction limit reached!
% 2.69/1.61 % (7175)------------------------------
% 2.69/1.61 % (7175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.61 % (7175)Termination reason: Unknown
% 2.69/1.61 % (7175)Termination phase: shuffling
% 2.69/1.61
% 2.69/1.61 % (7175)Memory used [KB]: 1407
% 2.69/1.61 % (7175)Time elapsed: 0.004 s
% 2.69/1.61 % (7175)Instructions burned: 4 (million)
% 2.69/1.61 % (7175)------------------------------
% 2.69/1.61 % (7175)------------------------------
% 2.69/1.61 % (7176)Instruction limit reached!
% 2.69/1.61 % (7176)------------------------------
% 2.69/1.61 % (7176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.61 % (7176)Termination reason: Unknown
% 2.69/1.61 % (7176)Termination phase: shuffling
% 2.69/1.61
% 2.69/1.61 % (7176)Memory used [KB]: 1663
% 2.69/1.61 % (7176)Time elapsed: 0.008 s
% 2.69/1.61 % (7176)Instructions burned: 18 (million)
% 2.69/1.61 % (7176)------------------------------
% 2.69/1.61 % (7176)------------------------------
% 2.69/1.62 % (7162)Refutation not found, incomplete strategy
% 2.69/1.62 % (7162)------------------------------
% 2.69/1.62 % (7162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.62 % (7162)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.62
% 2.69/1.62
% 2.69/1.62 % (7162)Memory used [KB]: 7164
% 2.69/1.62 % (7162)Time elapsed: 0.063 s
% 2.69/1.62 % (7162)Instructions burned: 107 (million)
% 2.69/1.62 % (7162)------------------------------
% 2.69/1.62 % (7162)------------------------------
% 2.69/1.62 % (7180)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/21Mi)
% 2.69/1.62 % (7179)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/902Mi)
% 2.69/1.62 % (7182)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/6Mi)
% 2.69/1.63 % (7182)Instruction limit reached!
% 2.69/1.63 % (7182)------------------------------
% 2.69/1.63 % (7182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.63 % (7182)Termination reason: Unknown
% 2.69/1.63 % (7182)Termination phase: shuffling
% 2.69/1.63
% 2.69/1.63 % (7182)Memory used [KB]: 1535
% 2.69/1.63 % (7182)Time elapsed: 0.004 s
% 2.69/1.63 % (7182)Instructions burned: 8 (million)
% 2.69/1.63 % (7182)------------------------------
% 2.69/1.63 % (7182)------------------------------
% 2.69/1.63 % (7180)Instruction limit reached!
% 2.69/1.63 % (7180)------------------------------
% 2.69/1.63 % (7180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.63 % (7180)Termination reason: Unknown
% 2.69/1.63 % (7180)Termination phase: shuffling
% 2.69/1.63
% 2.69/1.63 % (7180)Memory used [KB]: 1791
% 2.69/1.63 % (7180)Time elapsed: 0.008 s
% 2.69/1.63 % (7180)Instructions burned: 21 (million)
% 2.69/1.63 % (7180)------------------------------
% 2.69/1.63 % (7180)------------------------------
% 2.69/1.63 % (7181)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/5Mi)
% 2.69/1.63 % (7181)Instruction limit reached!
% 2.69/1.63 % (7181)------------------------------
% 2.69/1.63 % (7181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.63 % (7181)Termination reason: Unknown
% 2.69/1.63 % (7181)Termination phase: shuffling
% 2.69/1.63
% 2.69/1.63 % (7181)Memory used [KB]: 1535
% 2.69/1.63 % (7181)Time elapsed: 0.005 s
% 2.69/1.63 % (7181)Instructions burned: 6 (million)
% 2.69/1.63 % (7181)------------------------------
% 2.69/1.63 % (7181)------------------------------
% 2.69/1.63 % (7185)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/19Mi)
% 2.69/1.63 % (7183)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/377Mi)
% 2.69/1.64 % (7184)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/779Mi)
% 2.69/1.64 % (7185)Instruction limit reached!
% 2.69/1.64 % (7185)------------------------------
% 2.69/1.64 % (7185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.64 % (7185)Termination reason: Unknown
% 2.69/1.64 % (7185)Termination phase: shuffling
% 2.69/1.64
% 2.69/1.64 % (7185)Memory used [KB]: 1791
% 2.69/1.64 % (7185)Time elapsed: 0.006 s
% 2.69/1.64 % (7185)Instructions burned: 19 (million)
% 2.69/1.64 % (7185)------------------------------
% 2.69/1.64 % (7185)------------------------------
% 2.69/1.65 % (7186)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/879Mi)
% 2.69/1.65 % (7187)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_6827 for (2999ds/17Mi)
% 2.69/1.65 % (7187)Instruction limit reached!
% 2.69/1.65 % (7187)------------------------------
% 2.69/1.65 % (7187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.65 % (7187)Termination reason: Unknown
% 2.69/1.66 % (7187)Termination phase: shuffling
% 2.69/1.66
% 2.69/1.66 % (7187)Memory used [KB]: 1791
% 2.69/1.66 % (7187)Time elapsed: 0.007 s
% 2.69/1.66 % (7187)Instructions burned: 19 (million)
% 2.69/1.66 % (7187)------------------------------
% 2.69/1.66 % (7187)------------------------------
% 2.69/1.66 % (7188)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/3Mi)
% 2.69/1.67 % (7188)Instruction limit reached!
% 2.69/1.67 % (7188)------------------------------
% 2.69/1.67 % (7188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.67 % (7188)Termination reason: Unknown
% 2.69/1.67 % (7188)Termination phase: shuffling
% 2.69/1.67
% 2.69/1.67 % (7188)Memory used [KB]: 1407
% 2.69/1.67 % (7188)Time elapsed: 0.003 s
% 2.69/1.67 % (7188)Instructions burned: 5 (million)
% 2.69/1.67 % (7188)------------------------------
% 2.69/1.67 % (7188)------------------------------
% 2.69/1.68 % (7189)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/30Mi)
% 2.69/1.68 % (7179)Refutation not found, incomplete strategy
% 2.69/1.68 % (7179)------------------------------
% 2.69/1.68 % (7179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.68 % (7179)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.68
% 2.69/1.68
% 2.69/1.68 % (7179)Memory used [KB]: 7931
% 2.69/1.68 % (7179)Time elapsed: 0.065 s
% 2.69/1.68 % (7179)Instructions burned: 192 (million)
% 2.69/1.68 % (7179)------------------------------
% 2.69/1.68 % (7179)------------------------------
% 2.69/1.69 % (7189)Instruction limit reached!
% 2.69/1.69 % (7189)------------------------------
% 2.69/1.69 % (7189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.69 % (7189)Termination reason: Unknown
% 2.69/1.69 % (7189)Termination phase: shuffling
% 2.69/1.69
% 2.69/1.69 % (7189)Memory used [KB]: 1918
% 2.69/1.69 % (7189)Time elapsed: 0.011 s
% 2.69/1.69 % (7189)Instructions burned: 31 (million)
% 2.69/1.69 % (7189)------------------------------
% 2.69/1.69 % (7189)------------------------------
% 2.69/1.69 % (7190)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/127Mi)
% 2.69/1.69 % (7191)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/100Mi)
% 2.69/1.72 % (7191)Instruction limit reached!
% 2.69/1.72 % (7191)------------------------------
% 2.69/1.72 % (7191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.72 % (7191)Termination reason: Unknown
% 2.69/1.72 % (7191)Termination phase: Property scanning
% 2.69/1.72
% 2.69/1.72 % (7191)Memory used [KB]: 2686
% 2.69/1.72 % (7191)Time elapsed: 0.028 s
% 2.69/1.72 % (7191)Instructions burned: 103 (million)
% 2.69/1.72 % (7191)------------------------------
% 2.69/1.72 % (7191)------------------------------
% 2.69/1.73 % (7190)Instruction limit reached!
% 2.69/1.73 % (7190)------------------------------
% 2.69/1.73 % (7190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.73 % (7190)Termination reason: Unknown
% 2.69/1.73 % (7190)Termination phase: Property scanning
% 2.69/1.73
% 2.69/1.73 % (7190)Memory used [KB]: 2558
% 2.69/1.73 % (7190)Time elapsed: 0.040 s
% 2.69/1.73 % (7190)Instructions burned: 127 (million)
% 2.69/1.73 % (7190)------------------------------
% 2.69/1.73 % (7190)------------------------------
% 2.69/1.73 % (7192)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/3Mi)
% 2.69/1.73 % (7192)Instruction limit reached!
% 2.69/1.73 % (7192)------------------------------
% 2.69/1.73 % (7192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.73 % (7192)Termination reason: Unknown
% 2.69/1.73 % (7192)Termination phase: shuffling
% 2.69/1.73
% 2.69/1.73 % (7192)Memory used [KB]: 1407
% 2.69/1.73 % (7192)Time elapsed: 0.002 s
% 2.69/1.73 % (7192)Instructions burned: 4 (million)
% 2.69/1.73 % (7192)------------------------------
% 2.69/1.73 % (7192)------------------------------
% 2.69/1.74 % (7193)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/20Mi)
% 2.69/1.74 % (7195)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_6827 for (2998ds/86Mi)
% 2.69/1.75 % (7193)Instruction limit reached!
% 2.69/1.75 % (7193)------------------------------
% 2.69/1.75 % (7193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.75 % (7193)Termination reason: Unknown
% 2.69/1.75 % (7193)Termination phase: shuffling
% 2.69/1.75
% 2.69/1.75 % (7193)Memory used [KB]: 1791
% 2.69/1.75 % (7193)Time elapsed: 0.009 s
% 2.69/1.75 % (7193)Instructions burned: 21 (million)
% 2.69/1.75 % (7193)------------------------------
% 2.69/1.75 % (7193)------------------------------
% 2.69/1.76 % (7196)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/107Mi)
% 2.69/1.77 % (7195)Instruction limit reached!
% 2.69/1.77 % (7195)------------------------------
% 2.69/1.77 % (7195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.77 % (7195)Termination reason: Unknown
% 2.69/1.77 % (7195)Termination phase: Property scanning
% 2.69/1.77
% 2.69/1.77 % (7195)Memory used [KB]: 2558
% 2.69/1.77 % (7195)Time elapsed: 0.026 s
% 2.69/1.77 % (7195)Instructions burned: 86 (million)
% 2.69/1.77 % (7195)------------------------------
% 2.69/1.77 % (7195)------------------------------
% 2.69/1.78 % (7197)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/39Mi)
% 2.69/1.78 % (7183)Instruction limit reached!
% 2.69/1.78 % (7183)------------------------------
% 2.69/1.78 % (7183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.78 % (7183)Termination reason: Unknown
% 2.69/1.78 % (7183)Termination phase: Saturation
% 2.69/1.78
% 2.69/1.78 % (7183)Memory used [KB]: 8699
% 2.69/1.78 % (7183)Time elapsed: 0.146 s
% 2.69/1.78 % (7183)Instructions burned: 378 (million)
% 2.69/1.78 % (7183)------------------------------
% 2.69/1.78 % (7183)------------------------------
% 2.69/1.79 % (7197)Instruction limit reached!
% 2.69/1.79 % (7197)------------------------------
% 2.69/1.79 % (7197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.79 % (7197)Termination reason: Unknown
% 2.69/1.79 % (7197)Termination phase: shuffling
% 2.69/1.79
% 2.69/1.79 % (7197)Memory used [KB]: 2174
% 2.69/1.79 % (7197)Time elapsed: 0.012 s
% 2.69/1.79 % (7197)Instructions burned: 40 (million)
% 2.69/1.79 % (7197)------------------------------
% 2.69/1.79 % (7197)------------------------------
% 2.69/1.79 % (7198)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/448Mi)
% 2.69/1.79 % (7196)Instruction limit reached!
% 2.69/1.79 % (7196)------------------------------
% 2.69/1.79 % (7196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.79 % (7196)Termination reason: Unknown
% 2.69/1.79 % (7196)Termination phase: Property scanning
% 2.69/1.79
% 2.69/1.79 % (7196)Memory used [KB]: 2558
% 2.69/1.79 % (7196)Time elapsed: 0.035 s
% 2.69/1.79 % (7196)Instructions burned: 108 (million)
% 2.69/1.79 % (7196)------------------------------
% 2.69/1.79 % (7196)------------------------------
% 2.69/1.80 % (7199)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/46Mi)
% 2.69/1.80 % (7200)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/98Mi)
% 2.69/1.81 % (7199)Instruction limit reached!
% 2.69/1.81 % (7199)------------------------------
% 2.69/1.81 % (7199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.81 % (7199)Termination reason: Unknown
% 2.69/1.81 % (7199)Termination phase: SInE selection
% 2.69/1.81
% 2.69/1.81 % (7199)Memory used [KB]: 1918
% 2.69/1.81 % (7199)Time elapsed: 0.015 s
% 2.69/1.81 % (7199)Instructions burned: 48 (million)
% 2.69/1.81 % (7199)------------------------------
% 2.69/1.81 % (7199)------------------------------
% 2.69/1.82 % (7201)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/507Mi)
% 2.69/1.82 % (7177)Instruction limit reached!
% 2.69/1.82 % (7177)------------------------------
% 2.69/1.82 % (7177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.82 % (7177)Termination reason: Unknown
% 2.69/1.82 % (7177)Termination phase: Saturation
% 2.69/1.82
% 2.69/1.82 % (7177)Memory used [KB]: 8315
% 2.69/1.82 % (7177)Time elapsed: 0.219 s
% 2.69/1.82 % (7177)Instructions burned: 710 (million)
% 2.69/1.82 % (7177)------------------------------
% 2.69/1.82 % (7177)------------------------------
% 2.69/1.83 % (7200)Instruction limit reached!
% 2.69/1.83 % (7200)------------------------------
% 2.69/1.83 % (7200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.83 % (7200)Termination reason: Unknown
% 2.69/1.83 % (7200)Termination phase: Property scanning
% 2.69/1.83
% 2.69/1.83 % (7200)Memory used [KB]: 2686
% 2.69/1.83 % (7200)Time elapsed: 0.030 s
% 2.69/1.83 % (7200)Instructions burned: 99 (million)
% 2.69/1.83 % (7200)------------------------------
% 2.69/1.83 % (7200)------------------------------
% 2.69/1.83 % (7202)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_6827 for (2997ds/149Mi)
% 2.69/1.84 % (7203)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/39Mi)
% 2.69/1.85 % (7203)Instruction limit reached!
% 2.69/1.85 % (7203)------------------------------
% 2.69/1.85 % (7203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.85 % (7203)Termination reason: Unknown
% 2.69/1.85 % (7203)Termination phase: Property scanning
% 2.69/1.85
% 2.69/1.85 % (7203)Memory used [KB]: 1791
% 2.69/1.85 % (7203)Time elapsed: 0.015 s
% 2.69/1.85 % (7203)Instructions burned: 42 (million)
% 2.69/1.85 % (7203)------------------------------
% 2.69/1.85 % (7203)------------------------------
% 2.69/1.86 % (7204)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/6Mi)
% 2.69/1.87 % (7204)Instruction limit reached!
% 2.69/1.87 % (7204)------------------------------
% 2.69/1.87 % (7204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.87 % (7204)Termination reason: Unknown
% 2.69/1.87 % (7204)Termination phase: shuffling
% 2.69/1.87
% 2.69/1.87 % (7204)Memory used [KB]: 1535
% 2.69/1.87 % (7204)Time elapsed: 0.004 s
% 2.69/1.87 % (7204)Instructions burned: 7 (million)
% 2.69/1.87 % (7204)------------------------------
% 2.69/1.87 % (7204)------------------------------
% 2.69/1.87 % (7184)Instruction limit reached!
% 2.69/1.87 % (7184)------------------------------
% 2.69/1.87 % (7184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.87 % (7184)Termination reason: Unknown
% 2.69/1.87 % (7184)Termination phase: Saturation
% 2.69/1.87
% 2.69/1.87 % (7184)Memory used [KB]: 8187
% 2.69/1.87 % (7184)Time elapsed: 0.240 s
% 2.69/1.87 % (7184)Instructions burned: 781 (million)
% 2.69/1.87 % (7184)------------------------------
% 2.69/1.87 % (7184)------------------------------
% 2.69/1.87 % (7202)Instruction limit reached!
% 2.69/1.87 % (7202)------------------------------
% 2.69/1.87 % (7202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.87 % (7202)Termination reason: Unknown
% 2.69/1.87 % (7202)Termination phase: Property scanning
% 2.69/1.87
% 2.69/1.87 % (7202)Memory used [KB]: 4093
% 2.69/1.87 % (7202)Time elapsed: 0.041 s
% 2.69/1.87 % (7202)Instructions burned: 152 (million)
% 2.69/1.87 % (7202)------------------------------
% 2.69/1.87 % (7202)------------------------------
% 2.69/1.88 % (7205)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/1087Mi)
% 2.69/1.88 % (7207)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/44Mi)
% 2.69/1.88 % (7206)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/47Mi)
% 2.69/1.90 % (7207)Instruction limit reached!
% 2.69/1.90 % (7207)------------------------------
% 2.69/1.90 % (7207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.90 % (7207)Termination reason: Unknown
% 2.69/1.90 % (7207)Termination phase: shuffling
% 2.69/1.90
% 2.69/1.90 % (7207)Memory used [KB]: 2302
% 2.69/1.90 % (7207)Time elapsed: 0.013 s
% 2.69/1.90 % (7207)Instructions burned: 44 (million)
% 2.69/1.90 % (7207)------------------------------
% 2.69/1.90 % (7207)------------------------------
% 2.69/1.90 % (7206)Instruction limit reached!
% 2.69/1.90 % (7206)------------------------------
% 2.69/1.90 % (7206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.90 % (7206)Termination reason: Unknown
% 2.69/1.90 % (7206)Termination phase: Preprocessing 3
% 2.69/1.90
% 2.69/1.90 % (7206)Memory used [KB]: 2046
% 2.69/1.90 % (7206)Time elapsed: 0.018 s
% 2.69/1.90 % (7206)Instructions burned: 49 (million)
% 2.69/1.90 % (7206)------------------------------
% 2.69/1.90 % (7206)------------------------------
% 2.69/1.90 % (7208)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/432Mi)
% 2.69/1.91 % (7209)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/62Mi)
% 2.69/1.92 % (7198)Instruction limit reached!
% 2.69/1.92 % (7198)------------------------------
% 2.69/1.92 % (7198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.92 % (7198)Termination reason: Unknown
% 2.69/1.92 % (7198)Termination phase: Saturation
% 2.69/1.92
% 2.69/1.92 % (7198)Memory used [KB]: 8443
% 2.69/1.92 % (7198)Time elapsed: 0.133 s
% 2.69/1.92 % (7198)Instructions burned: 449 (million)
% 2.69/1.92 % (7198)------------------------------
% 2.69/1.92 % (7198)------------------------------
% 2.69/1.93 % (7209)Instruction limit reached!
% 2.69/1.93 % (7209)------------------------------
% 2.69/1.93 % (7209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.93 % (7209)Termination reason: Unknown
% 2.69/1.93 % (7209)Termination phase: Property scanning
% 2.69/1.93
% 2.69/1.93 % (7209)Memory used [KB]: 2686
% 2.69/1.93 % (7209)Time elapsed: 0.019 s
% 2.69/1.93 % (7209)Instructions burned: 63 (million)
% 2.69/1.93 % (7209)------------------------------
% 2.69/1.93 % (7209)------------------------------
% 2.69/1.93 % (7210)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/31Mi)
% 2.69/1.94 % (7211)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_6827 for (2996ds/96Mi)
% 2.69/1.94 % (7210)Instruction limit reached!
% 2.69/1.94 % (7210)------------------------------
% 2.69/1.94 % (7210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.94 % (7210)Termination reason: Unknown
% 2.69/1.94 % (7210)Termination phase: Property scanning
% 2.69/1.94
% 2.69/1.94 % (7210)Memory used [KB]: 1791
% 2.69/1.94 % (7210)Time elapsed: 0.012 s
% 2.69/1.94 % (7210)Instructions burned: 33 (million)
% 2.69/1.94 % (7210)------------------------------
% 2.69/1.94 % (7210)------------------------------
% 2.69/1.95 % (7212)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/453Mi)
% 2.69/1.95 % (7186)Instruction limit reached!
% 2.69/1.95 % (7186)------------------------------
% 2.69/1.95 % (7186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.95 % (7186)Termination reason: Unknown
% 2.69/1.95 % (7186)Termination phase: Saturation
% 2.69/1.95
% 2.69/1.95 % (7186)Memory used [KB]: 9850
% 2.69/1.95 % (7186)Time elapsed: 0.307 s
% 2.69/1.95 % (7186)Instructions burned: 879 (million)
% 2.69/1.95 % (7186)------------------------------
% 2.69/1.95 % (7186)------------------------------
% 2.69/1.96 % (7168)Instruction limit reached!
% 2.69/1.96 % (7168)------------------------------
% 2.69/1.96 % (7168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.96 % (7168)Termination reason: Unknown
% 2.69/1.96 % (7168)Termination phase: Saturation
% 2.69/1.96
% 2.69/1.96 % (7168)Memory used [KB]: 10234
% 2.69/1.96 % (7168)Time elapsed: 0.378 s
% 2.69/1.96 % (7168)Instructions burned: 1043 (million)
% 2.69/1.96 % (7168)------------------------------
% 2.69/1.96 % (7168)------------------------------
% 2.69/1.96 % (7213)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/71Mi)
% 2.69/1.97 % (7211)Instruction limit reached!
% 2.69/1.97 % (7211)------------------------------
% 2.69/1.97 % (7211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.97 % (7211)Termination reason: Unknown
% 2.69/1.97 % (7211)Termination phase: Function definition elimination
% 2.69/1.97
% 2.69/1.97 % (7211)Memory used [KB]: 2558
% 2.69/1.97 % (7211)Time elapsed: 0.029 s
% 2.69/1.97 % (7211)Instructions burned: 99 (million)
% 2.69/1.97 % (7211)------------------------------
% 2.69/1.97 % (7211)------------------------------
% 2.69/1.97 % (7214)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/83Mi)
% 2.69/1.97 % (7201)Instruction limit reached!
% 2.69/1.97 % (7201)------------------------------
% 2.69/1.97 % (7201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.97 % (7201)Termination reason: Unknown
% 2.69/1.97 % (7201)Termination phase: Saturation
% 2.69/1.97
% 2.69/1.97 % (7201)Memory used [KB]: 8827
% 2.69/1.97 % (7201)Time elapsed: 0.153 s
% 2.69/1.97 % (7201)Instructions burned: 508 (million)
% 2.69/1.97 % (7201)------------------------------
% 2.69/1.97 % (7201)------------------------------
% 2.69/1.97 % (7215)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/11Mi)
% 2.69/1.98 % (7215)Instruction limit reached!
% 2.69/1.98 % (7215)------------------------------
% 2.69/1.98 % (7215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.98 % (7215)Termination reason: Unknown
% 2.69/1.98 % (7215)Termination phase: shuffling
% 2.69/1.98
% 2.69/1.98 % (7215)Memory used [KB]: 1663
% 2.69/1.98 % (7215)Time elapsed: 0.004 s
% 2.69/1.98 % (7215)Instructions burned: 11 (million)
% 2.69/1.98 % (7215)------------------------------
% 2.69/1.98 % (7215)------------------------------
% 2.69/1.98 % (7216)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/41Mi)
% 2.69/1.99 % (7217)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/6Mi)
% 2.69/1.99 % (7213)Instruction limit reached!
% 2.69/1.99 % (7213)------------------------------
% 2.69/1.99 % (7213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.99 % (7213)Termination reason: Unknown
% 2.69/1.99 % (7213)Termination phase: Clausification
% 2.69/1.99
% 2.69/1.99 % (7213)Memory used [KB]: 2558
% 2.69/1.99 % (7213)Time elapsed: 0.025 s
% 2.69/1.99 % (7213)Instructions burned: 71 (million)
% 2.69/1.99 % (7213)------------------------------
% 2.69/1.99 % (7213)------------------------------
% 2.69/1.99 % (7217)Instruction limit reached!
% 2.69/1.99 % (7217)------------------------------
% 2.69/1.99 % (7217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.99 % (7217)Termination reason: Unknown
% 2.69/1.99 % (7217)Termination phase: shuffling
% 2.69/1.99
% 2.69/1.99 % (7217)Memory used [KB]: 1535
% 2.69/1.99 % (7217)Time elapsed: 0.003 s
% 2.69/1.99 % (7217)Instructions burned: 7 (million)
% 2.69/1.99 % (7217)------------------------------
% 2.69/1.99 % (7217)------------------------------
% 2.69/1.99 % (7216)Instruction limit reached!
% 2.69/1.99 % (7216)------------------------------
% 2.69/1.99 % (7216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/1.99 % (7216)Termination reason: Unknown
% 2.69/1.99 % (7216)Termination phase: shuffling
% 2.69/1.99
% 2.69/1.99 % (7216)Memory used [KB]: 2174
% 2.69/1.99 % (7216)Time elapsed: 0.012 s
% 2.69/1.99 % (7216)Instructions burned: 41 (million)
% 2.69/1.99 % (7216)------------------------------
% 2.69/1.99 % (7216)------------------------------
% 2.69/2.00 % (7218)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/150Mi)
% 2.69/2.00 % (7219)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/343Mi)
% 2.69/2.00 % (7220)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/109Mi)
% 2.69/2.01 % (7214)Instruction limit reached!
% 2.69/2.01 % (7214)------------------------------
% 2.69/2.01 % (7214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.69/2.01 % (7214)Termination reason: Unknown
% 2.69/2.01 % (7214)Termination phase: Property scanning
% 2.69/2.01
% 2.69/2.01 % (7214)Memory used [KB]: 2046
% 2.69/2.01 % (7214)Time elapsed: 0.028 s
% 2.69/2.01 % (7214)Instructions burned: 83 (million)
% 2.69/2.01 % (7214)------------------------------
% 2.69/2.01 % (7214)------------------------------
% 5.95/2.03 % (7221)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/253Mi)
% 5.95/2.03 % (7208)Instruction limit reached!
% 5.95/2.03 % (7208)------------------------------
% 5.95/2.03 % (7208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.03 % (7208)Termination reason: Unknown
% 5.95/2.03 % (7208)Termination phase: Saturation
% 5.95/2.03
% 5.95/2.03 % (7208)Memory used [KB]: 4477
% 5.95/2.03 % (7208)Time elapsed: 0.128 s
% 5.95/2.03 % (7208)Instructions burned: 434 (million)
% 5.95/2.03 % (7208)------------------------------
% 5.95/2.03 % (7208)------------------------------
% 5.95/2.03 % (7220)Instruction limit reached!
% 5.95/2.03 % (7220)------------------------------
% 5.95/2.03 % (7220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.03 % (7220)Termination reason: Unknown
% 5.95/2.03 % (7220)Termination phase: Property scanning
% 5.95/2.03
% 5.95/2.03 % (7220)Memory used [KB]: 2558
% 5.95/2.03 % (7220)Time elapsed: 0.033 s
% 5.95/2.03 % (7220)Instructions burned: 112 (million)
% 5.95/2.03 % (7220)------------------------------
% 5.95/2.03 % (7220)------------------------------
% 5.95/2.04 % (7222)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/140Mi)
% 5.95/2.04 % (7218)Instruction limit reached!
% 5.95/2.04 % (7218)------------------------------
% 5.95/2.04 % (7218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.04 % (7218)Termination reason: Unknown
% 5.95/2.04 % (7218)Termination phase: Property scanning
% 5.95/2.04
% 5.95/2.04 % (7218)Memory used [KB]: 2686
% 5.95/2.04 % (7218)Time elapsed: 0.046 s
% 5.95/2.04 % (7218)Instructions burned: 151 (million)
% 5.95/2.04 % (7218)------------------------------
% 5.95/2.04 % (7218)------------------------------
% 5.95/2.04 % (7223)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_6827 for (2995ds/614Mi)
% 5.95/2.05 % (7224)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/202Mi)
% 5.95/2.08 % (7222)Instruction limit reached!
% 5.95/2.08 % (7222)------------------------------
% 5.95/2.08 % (7222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.08 % (7222)Termination reason: Unknown
% 5.95/2.08 % (7222)Termination phase: Saturation
% 5.95/2.08
% 5.95/2.08 % (7222)Memory used [KB]: 7164
% 5.95/2.08 % (7222)Time elapsed: 0.042 s
% 5.95/2.08 % (7222)Instructions burned: 143 (million)
% 5.95/2.08 % (7222)------------------------------
% 5.95/2.08 % (7222)------------------------------
% 5.95/2.09 % (7212)Instruction limit reached!
% 5.95/2.09 % (7212)------------------------------
% 5.95/2.09 % (7212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.09 % (7212)Termination reason: Unknown
% 5.95/2.09 % (7212)Termination phase: Saturation
% 5.95/2.09
% 5.95/2.09 % (7212)Memory used [KB]: 8187
% 5.95/2.09 % (7212)Time elapsed: 0.136 s
% 5.95/2.09 % (7212)Instructions burned: 454 (million)
% 5.95/2.09 % (7212)------------------------------
% 5.95/2.09 % (7212)------------------------------
% 5.95/2.09 % (7225)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/339Mi)
% 5.95/2.10 % (7226)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/283Mi)
% 5.95/2.10 % (7224)Refutation not found, incomplete strategy
% 5.95/2.10 % (7224)------------------------------
% 5.95/2.10 % (7224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.10 % (7224)Termination reason: Refutation not found, incomplete strategy
% 5.95/2.10
% 5.95/2.10
% 5.95/2.10 % (7224)Memory used [KB]: 7931
% 5.95/2.10 % (7224)Time elapsed: 0.047 s
% 5.95/2.10 % (7224)Instructions burned: 146 (million)
% 5.95/2.10 % (7224)------------------------------
% 5.95/2.10 % (7224)------------------------------
% 5.95/2.10 % (7219)Instruction limit reached!
% 5.95/2.10 % (7219)------------------------------
% 5.95/2.10 % (7219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.95/2.10 % (7219)Termination reason: Unknown
% 5.95/2.10 % (7219)Termination phase: Saturation
% 5.95/2.10
% 5.95/2.10 % (7219)Memory used [KB]: 8315
% 5.95/2.10 % (7219)Time elapsed: 0.105 s
% 5.95/2.10 % (7219)Instructions burned: 345 (million)
% 5.95/2.10 % (7219)------------------------------
% 5.95/2.10 % (7219)------------------------------
% 5.95/2.11 % (7227)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/134Mi)
% 5.95/2.11 % (7228)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/298Mi)
% 6.44/2.14 % (7221)Instruction limit reached!
% 6.44/2.14 % (7221)------------------------------
% 6.44/2.14 % (7221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.14 % (7221)Termination reason: Unknown
% 6.44/2.14 % (7221)Termination phase: Saturation
% 6.44/2.14
% 6.44/2.14 % (7221)Memory used [KB]: 8059
% 6.44/2.14 % (7221)Time elapsed: 0.116 s
% 6.44/2.14 % (7221)Instructions burned: 253 (million)
% 6.44/2.14 % (7221)------------------------------
% 6.44/2.14 % (7221)------------------------------
% 6.44/2.14 % (7227)Instruction limit reached!
% 6.44/2.14 % (7227)------------------------------
% 6.44/2.14 % (7227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.14 % (7227)Termination reason: Unknown
% 6.44/2.14 % (7227)Termination phase: Property scanning
% 6.44/2.14
% 6.44/2.14 % (7227)Memory used [KB]: 2558
% 6.44/2.14 % (7227)Time elapsed: 0.038 s
% 6.44/2.14 % (7227)Instructions burned: 137 (million)
% 6.44/2.14 % (7227)------------------------------
% 6.44/2.14 % (7227)------------------------------
% 6.44/2.15 % (7229)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/192Mi)
% 6.44/2.15 % (7230)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_6827 for (2994ds/258Mi)
% 6.44/2.17 % (7226)Instruction limit reached!
% 6.44/2.17 % (7226)------------------------------
% 6.44/2.17 % (7226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.17 % (7226)Termination reason: Unknown
% 6.44/2.17 % (7226)Termination phase: Saturation
% 6.44/2.17
% 6.44/2.17 % (7226)Memory used [KB]: 7675
% 6.44/2.17 % (7226)Time elapsed: 0.079 s
% 6.44/2.17 % (7226)Instructions burned: 285 (million)
% 6.44/2.17 % (7226)------------------------------
% 6.44/2.17 % (7226)------------------------------
% 6.44/2.18 % (7231)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/90Mi)
% 6.44/2.19 % (7228)Instruction limit reached!
% 6.44/2.19 % (7228)------------------------------
% 6.44/2.19 % (7228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.19 % (7228)Termination reason: Unknown
% 6.44/2.19 % (7228)Termination phase: Saturation
% 6.44/2.19
% 6.44/2.19 % (7228)Memory used [KB]: 7547
% 6.44/2.19 % (7228)Time elapsed: 0.078 s
% 6.44/2.19 % (7228)Instructions burned: 298 (million)
% 6.44/2.19 % (7228)------------------------------
% 6.44/2.19 % (7228)------------------------------
% 6.44/2.19 % (7225)Instruction limit reached!
% 6.44/2.19 % (7225)------------------------------
% 6.44/2.19 % (7225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.44/2.19 % (7225)Termination reason: Unknown
% 6.44/2.19 % (7225)Termination phase: Saturation
% 6.44/2.19
% 6.44/2.19 % (7225)Memory used [KB]: 7547
% 6.44/2.19 % (7225)Time elapsed: 0.104 s
% 6.44/2.19 % (7225)Instructions burned: 341 (million)
% 6.44/2.19 % (7225)------------------------------
% 6.44/2.19 % (7225)------------------------------
% 6.98/2.20 % (7232)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/231Mi)
% 6.98/2.20 % (7233)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/458Mi)
% 6.98/2.20 % (7229)Instruction limit reached!
% 6.98/2.20 % (7229)------------------------------
% 6.98/2.20 % (7229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.20 % (7229)Termination reason: Unknown
% 6.98/2.20 % (7229)Termination phase: Saturation
% 6.98/2.20
% 6.98/2.20 % (7229)Memory used [KB]: 3709
% 6.98/2.20 % (7229)Time elapsed: 0.057 s
% 6.98/2.20 % (7229)Instructions burned: 192 (million)
% 6.98/2.20 % (7229)------------------------------
% 6.98/2.20 % (7229)------------------------------
% 6.98/2.21 % (7231)Instruction limit reached!
% 6.98/2.21 % (7231)------------------------------
% 6.98/2.21 % (7231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.21 % (7231)Termination reason: Unknown
% 6.98/2.21 % (7231)Termination phase: Property scanning
% 6.98/2.21
% 6.98/2.21 % (7231)Memory used [KB]: 2558
% 6.98/2.21 % (7231)Time elapsed: 0.027 s
% 6.98/2.21 % (7231)Instructions burned: 91 (million)
% 6.98/2.21 % (7231)------------------------------
% 6.98/2.21 % (7231)------------------------------
% 6.98/2.21 % (7223)Instruction limit reached!
% 6.98/2.21 % (7223)------------------------------
% 6.98/2.21 % (7223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.21 % (7223)Termination reason: Unknown
% 6.98/2.21 % (7223)Termination phase: Saturation
% 6.98/2.21
% 6.98/2.21 % (7223)Memory used [KB]: 9466
% 6.98/2.21 % (7223)Time elapsed: 0.170 s
% 6.98/2.21 % (7223)Instructions burned: 616 (million)
% 6.98/2.21 % (7223)------------------------------
% 6.98/2.21 % (7223)------------------------------
% 6.98/2.21 % (7234)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/31Mi)
% 6.98/2.22 % (7230)Instruction limit reached!
% 6.98/2.22 % (7230)------------------------------
% 6.98/2.22 % (7230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.22 % (7230)Termination reason: Unknown
% 6.98/2.22 % (7230)Termination phase: Property scanning
% 6.98/2.22
% 6.98/2.22 % (7230)Memory used [KB]: 4093
% 6.98/2.22 % (7230)Time elapsed: 0.066 s
% 6.98/2.22 % (7230)Instructions burned: 259 (million)
% 6.98/2.22 % (7230)------------------------------
% 6.98/2.22 % (7230)------------------------------
% 6.98/2.22 % (7235)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/297Mi)
% 6.98/2.22 % (7205)Instruction limit reached!
% 6.98/2.22 % (7205)------------------------------
% 6.98/2.22 % (7205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.22 % (7205)Termination reason: Unknown
% 6.98/2.22 % (7205)Termination phase: Saturation
% 6.98/2.22
% 6.98/2.22 % (7205)Memory used [KB]: 8443
% 6.98/2.22 % (7205)Time elapsed: 0.347 s
% 6.98/2.22 % (7205)Instructions burned: 1089 (million)
% 6.98/2.22 % (7205)------------------------------
% 6.98/2.22 % (7205)------------------------------
% 6.98/2.22 % (7236)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/987Mi)
% 6.98/2.22 % (7234)Instruction limit reached!
% 6.98/2.22 % (7234)------------------------------
% 6.98/2.22 % (7234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.22 % (7234)Termination reason: Unknown
% 6.98/2.22 % (7234)Termination phase: Property scanning
% 6.98/2.22
% 6.98/2.22 % (7234)Memory used [KB]: 1918
% 6.98/2.22 % (7234)Time elapsed: 0.011 s
% 6.98/2.22 % (7234)Instructions burned: 31 (million)
% 6.98/2.22 % (7234)------------------------------
% 6.98/2.22 % (7234)------------------------------
% 6.98/2.23 % (7237)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/182Mi)
% 6.98/2.23 % (7238)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/182Mi)
% 6.98/2.23 % (7239)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_6827 for (2993ds/154Mi)
% 6.98/2.26 % (7232)Instruction limit reached!
% 6.98/2.26 % (7232)------------------------------
% 6.98/2.26 % (7232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.26 % (7232)Termination reason: Unknown
% 6.98/2.26 % (7232)Termination phase: Saturation
% 6.98/2.26
% 6.98/2.26 % (7232)Memory used [KB]: 7291
% 6.98/2.26 % (7232)Time elapsed: 0.061 s
% 6.98/2.26 % (7232)Instructions burned: 234 (million)
% 6.98/2.26 % (7232)------------------------------
% 6.98/2.26 % (7232)------------------------------
% 6.98/2.27 % (7240)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/79Mi)
% 6.98/2.27 % (7239)Instruction limit reached!
% 6.98/2.27 % (7239)------------------------------
% 6.98/2.27 % (7239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.27 % (7239)Termination reason: Unknown
% 6.98/2.27 % (7239)Termination phase: Property scanning
% 6.98/2.27
% 6.98/2.27 % (7239)Memory used [KB]: 2686
% 6.98/2.27 % (7239)Time elapsed: 0.041 s
% 6.98/2.27 % (7239)Instructions burned: 157 (million)
% 6.98/2.27 % (7239)------------------------------
% 6.98/2.27 % (7239)------------------------------
% 6.98/2.28 % (7237)Instruction limit reached!
% 6.98/2.28 % (7237)------------------------------
% 6.98/2.28 % (7237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.28 % (7237)Termination reason: Unknown
% 6.98/2.28 % (7237)Termination phase: Property scanning
% 6.98/2.28
% 6.98/2.28 % (7237)Memory used [KB]: 4093
% 6.98/2.28 % (7237)Time elapsed: 0.048 s
% 6.98/2.28 % (7237)Instructions burned: 183 (million)
% 6.98/2.28 % (7237)------------------------------
% 6.98/2.28 % (7237)------------------------------
% 6.98/2.28 % (7241)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/216Mi)
% 6.98/2.28 % (7238)Instruction limit reached!
% 6.98/2.28 % (7238)------------------------------
% 6.98/2.28 % (7238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.28 % (7238)Termination reason: Unknown
% 6.98/2.28 % (7238)Termination phase: Saturation
% 6.98/2.28
% 6.98/2.28 % (7238)Memory used [KB]: 7291
% 6.98/2.28 % (7238)Time elapsed: 0.077 s
% 6.98/2.28 % (7238)Instructions burned: 183 (million)
% 6.98/2.28 % (7238)------------------------------
% 6.98/2.28 % (7238)------------------------------
% 6.98/2.28 % (7242)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/114Mi)
% 6.98/2.29 % (7240)Instruction limit reached!
% 6.98/2.29 % (7240)------------------------------
% 6.98/2.29 % (7240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.98/2.29 % (7240)Termination reason: Unknown
% 6.98/2.29 % (7240)Termination phase: Property scanning
% 6.98/2.29
% 6.98/2.29 % (7240)Memory used [KB]: 2558
% 6.98/2.29 % (7240)Time elapsed: 0.024 s
% 6.98/2.29 % (7240)Instructions burned: 80 (million)
% 6.98/2.29 % (7240)------------------------------
% 6.98/2.29 % (7240)------------------------------
% 6.98/2.29 % (7243)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/922Mi)
% 7.66/2.30 % (7244)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/182Mi)
% 7.66/2.31 % (7235)Instruction limit reached!
% 7.66/2.31 % (7235)------------------------------
% 7.66/2.31 % (7235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.31 % (7235)Termination reason: Unknown
% 7.66/2.31 % (7235)Termination phase: Saturation
% 7.66/2.31
% 7.66/2.31 % (7235)Memory used [KB]: 7803
% 7.66/2.31 % (7235)Time elapsed: 0.108 s
% 7.66/2.31 % (7235)Instructions burned: 298 (million)
% 7.66/2.31 % (7235)------------------------------
% 7.66/2.31 % (7235)------------------------------
% 7.66/2.32 % (7245)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/164Mi)
% 7.66/2.32 % (7242)Instruction limit reached!
% 7.66/2.32 % (7242)------------------------------
% 7.66/2.32 % (7242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.32 % (7242)Termination reason: Unknown
% 7.66/2.32 % (7242)Termination phase: Property scanning
% 7.66/2.32
% 7.66/2.32 % (7242)Memory used [KB]: 2558
% 7.66/2.32 % (7242)Time elapsed: 0.033 s
% 7.66/2.32 % (7242)Instructions burned: 114 (million)
% 7.66/2.32 % (7242)------------------------------
% 7.66/2.32 % (7242)------------------------------
% 7.66/2.33 % (7246)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_6827 for (2992ds/50Mi)
% 7.66/2.34 % (7233)Instruction limit reached!
% 7.66/2.34 % (7233)------------------------------
% 7.66/2.34 % (7233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.34 % (7233)Termination reason: Unknown
% 7.66/2.34 % (7233)Termination phase: Saturation
% 7.66/2.34
% 7.66/2.34 % (7233)Memory used [KB]: 8699
% 7.66/2.34 % (7233)Time elapsed: 0.135 s
% 7.66/2.34 % (7233)Instructions burned: 458 (million)
% 7.66/2.34 % (7233)------------------------------
% 7.66/2.34 % (7233)------------------------------
% 7.66/2.34 % (7241)Instruction limit reached!
% 7.66/2.34 % (7241)------------------------------
% 7.66/2.34 % (7241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.34 % (7241)Termination reason: Unknown
% 7.66/2.34 % (7241)Termination phase: Saturation
% 7.66/2.34
% 7.66/2.34 % (7241)Memory used [KB]: 7291
% 7.66/2.34 % (7241)Time elapsed: 0.058 s
% 7.66/2.34 % (7241)Instructions burned: 218 (million)
% 7.66/2.34 % (7241)------------------------------
% 7.66/2.34 % (7241)------------------------------
% 7.66/2.34 % (7246)Instruction limit reached!
% 7.66/2.34 % (7246)------------------------------
% 7.66/2.34 % (7246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.34 % (7246)Termination reason: Unknown
% 7.66/2.34 % (7246)Termination phase: shuffling
% 7.66/2.34
% 7.66/2.34 % (7246)Memory used [KB]: 2430
% 7.66/2.34 % (7246)Time elapsed: 0.016 s
% 7.66/2.34 % (7246)Instructions burned: 53 (million)
% 7.66/2.34 % (7246)------------------------------
% 7.66/2.34 % (7246)------------------------------
% 7.66/2.35 % (7247)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/368Mi)
% 7.66/2.35 % (7244)Instruction limit reached!
% 7.66/2.35 % (7244)------------------------------
% 7.66/2.35 % (7244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.35 % (7244)Termination reason: Unknown
% 7.66/2.35 % (7244)Termination phase: Saturation
% 7.66/2.35
% 7.66/2.35 % (7244)Memory used [KB]: 7291
% 7.66/2.35 % (7244)Time elapsed: 0.049 s
% 7.66/2.35 % (7244)Instructions burned: 183 (million)
% 7.66/2.35 % (7244)------------------------------
% 7.66/2.35 % (7244)------------------------------
% 7.66/2.35 % (7248)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/1021Mi)
% 7.66/2.35 % (7249)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/267Mi)
% 7.66/2.36 % (7250)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/204Mi)
% 7.66/2.36 % (7245)Instruction limit reached!
% 7.66/2.36 % (7245)------------------------------
% 7.66/2.36 % (7245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.36 % (7245)Termination reason: Unknown
% 7.66/2.36 % (7245)Termination phase: Saturation
% 7.66/2.36
% 7.66/2.36 % (7245)Memory used [KB]: 2814
% 7.66/2.36 % (7245)Time elapsed: 0.046 s
% 7.66/2.36 % (7245)Instructions burned: 166 (million)
% 7.66/2.36 % (7245)------------------------------
% 7.66/2.36 % (7245)------------------------------
% 7.66/2.37 % (7251)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/26Mi)
% 7.66/2.38 % (7251)Instruction limit reached!
% 7.66/2.38 % (7251)------------------------------
% 7.66/2.38 % (7251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.66/2.38 % (7251)Termination reason: Unknown
% 7.66/2.38 % (7251)Termination phase: shuffling
% 7.66/2.38
% 7.66/2.38 % (7251)Memory used [KB]: 2046
% 7.66/2.38 % (7251)Time elapsed: 0.008 s
% 7.66/2.38 % (7251)Instructions burned: 26 (million)
% 7.66/2.38 % (7251)------------------------------
% 7.66/2.38 % (7251)------------------------------
% 7.66/2.39 % (7252)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/53Mi)
% 8.17/2.40 % (7252)Instruction limit reached!
% 8.17/2.40 % (7252)------------------------------
% 8.17/2.40 % (7252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.40 % (7252)Termination reason: Unknown
% 8.17/2.40 % (7252)Termination phase: shuffling
% 8.17/2.40
% 8.17/2.40 % (7252)Memory used [KB]: 2430
% 8.17/2.40 % (7252)Time elapsed: 0.016 s
% 8.17/2.40 % (7252)Instructions burned: 56 (million)
% 8.17/2.40 % (7252)------------------------------
% 8.17/2.40 % (7252)------------------------------
% 8.17/2.41 % (7253)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/4436Mi)
% 8.17/2.41 % (7250)Instruction limit reached!
% 8.17/2.41 % (7250)------------------------------
% 8.17/2.41 % (7250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.41 % (7250)Termination reason: Unknown
% 8.17/2.41 % (7250)Termination phase: Saturation
% 8.17/2.41
% 8.17/2.41 % (7250)Memory used [KB]: 7547
% 8.17/2.41 % (7250)Time elapsed: 0.058 s
% 8.17/2.41 % (7250)Instructions burned: 207 (million)
% 8.17/2.41 % (7250)------------------------------
% 8.17/2.41 % (7250)------------------------------
% 8.17/2.42 % (7249)Instruction limit reached!
% 8.17/2.42 % (7249)------------------------------
% 8.17/2.42 % (7249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.42 % (7249)Termination reason: Unknown
% 8.17/2.42 % (7249)Termination phase: Saturation
% 8.17/2.42
% 8.17/2.42 % (7249)Memory used [KB]: 7675
% 8.17/2.42 % (7249)Time elapsed: 0.074 s
% 8.17/2.42 % (7249)Instructions burned: 267 (million)
% 8.17/2.42 % (7249)------------------------------
% 8.17/2.42 % (7249)------------------------------
% 8.17/2.42 % (7254)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/1539Mi)
% 8.17/2.43 % (7255)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_6827 for (2991ds/408Mi)
% 8.17/2.46 % (7247)Instruction limit reached!
% 8.17/2.46 % (7247)------------------------------
% 8.17/2.46 % (7247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.46 % (7247)Termination reason: Unknown
% 8.17/2.46 % (7247)Termination phase: Saturation
% 8.17/2.46
% 8.17/2.46 % (7247)Memory used [KB]: 8571
% 8.17/2.46 % (7247)Time elapsed: 0.108 s
% 8.17/2.46 % (7247)Instructions burned: 369 (million)
% 8.17/2.46 % (7247)------------------------------
% 8.17/2.46 % (7247)------------------------------
% 8.17/2.46 % (7256)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_6827 for (2990ds/5205Mi)
% 8.46/2.53 % (7236)Instruction limit reached!
% 8.46/2.53 % (7236)------------------------------
% 8.46/2.53 % (7236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.53 % (7236)Termination reason: Unknown
% 8.46/2.53 % (7236)Termination phase: Saturation
% 8.46/2.53
% 8.46/2.53 % (7236)Memory used [KB]: 10874
% 8.46/2.53 % (7236)Time elapsed: 0.331 s
% 8.46/2.53 % (7236)Instructions burned: 988 (million)
% 8.46/2.53 % (7236)------------------------------
% 8.46/2.53 % (7236)------------------------------
% 8.46/2.54 % (7257)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_6827 for (2990ds/1913Mi)
% 8.46/2.56 % (7255)Instruction limit reached!
% 8.46/2.56 % (7255)------------------------------
% 8.46/2.56 % (7255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.56 % (7255)Termination reason: Unknown
% 8.46/2.56 % (7255)Termination phase: Saturation
% 8.46/2.56
% 8.46/2.56 % (7255)Memory used [KB]: 8699
% 8.46/2.56 % (7255)Time elapsed: 0.124 s
% 8.46/2.56 % (7255)Instructions burned: 409 (million)
% 8.46/2.56 % (7255)------------------------------
% 8.46/2.56 % (7255)------------------------------
% 8.46/2.57 % (7258)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_6827 for (2989ds/4350Mi)
% 8.46/2.58 % (7243)Instruction limit reached!
% 8.46/2.58 % (7243)------------------------------
% 8.46/2.58 % (7243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.58 % (7243)Termination reason: Unknown
% 8.46/2.58 % (7243)Termination phase: Saturation
% 8.46/2.58
% 8.46/2.58 % (7243)Memory used [KB]: 8315
% 8.46/2.58 % (7243)Time elapsed: 0.285 s
% 8.46/2.58 % (7243)Instructions burned: 924 (million)
% 8.46/2.58 % (7243)------------------------------
% 8.46/2.58 % (7243)------------------------------
% 8.46/2.59 % (7259)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_6827 for (2989ds/68Mi)
% 9.21/2.61 % (7259)Instruction limit reached!
% 9.21/2.61 % (7259)------------------------------
% 9.21/2.61 % (7259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.61 % (7259)Termination reason: Unknown
% 9.21/2.61 % (7259)Termination phase: Preprocessing 3
% 9.21/2.61
% 9.21/2.61 % (7259)Memory used [KB]: 2430
% 9.21/2.61 % (7259)Time elapsed: 0.022 s
% 9.21/2.61 % (7259)Instructions burned: 71 (million)
% 9.21/2.61 % (7259)------------------------------
% 9.21/2.61 % (7259)------------------------------
% 9.21/2.62 % (7260)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_6827 for (2989ds/358Mi)
% 9.21/2.65 % (7248)Instruction limit reached!
% 9.21/2.65 % (7248)------------------------------
% 9.21/2.65 % (7248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.65 % (7248)Termination reason: Unknown
% 9.21/2.65 % (7248)Termination phase: Saturation
% 9.21/2.65
% 9.21/2.65 % (7248)Memory used [KB]: 10106
% 9.21/2.65 % (7248)Time elapsed: 0.302 s
% 9.21/2.65 % (7248)Instructions burned: 1022 (million)
% 9.21/2.65 % (7248)------------------------------
% 9.21/2.65 % (7248)------------------------------
% 9.21/2.66 % (7261)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_6827 for (2988ds/31Mi)
% 9.21/2.67 % (7261)Instruction limit reached!
% 9.21/2.67 % (7261)------------------------------
% 9.21/2.67 % (7261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.67 % (7261)Termination reason: Unknown
% 9.21/2.67 % (7261)Termination phase: Property scanning
% 9.21/2.67
% 9.21/2.67 % (7261)Memory used [KB]: 1918
% 9.21/2.67 % (7261)Time elapsed: 0.011 s
% 9.21/2.67 % (7261)Instructions burned: 32 (million)
% 9.21/2.67 % (7261)------------------------------
% 9.21/2.67 % (7261)------------------------------
% 9.21/2.68 % (7262)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_6827 for (2988ds/279Mi)
% 9.57/2.73 % (7260)Instruction limit reached!
% 9.57/2.73 % (7260)------------------------------
% 9.57/2.73 % (7260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.73 % (7260)Termination reason: Unknown
% 9.57/2.73 % (7260)Termination phase: Saturation
% 9.57/2.73
% 9.57/2.73 % (7260)Memory used [KB]: 7931
% 9.57/2.73 % (7260)Time elapsed: 0.112 s
% 9.57/2.73 % (7260)Instructions burned: 360 (million)
% 9.57/2.73 % (7260)------------------------------
% 9.57/2.73 % (7260)------------------------------
% 9.57/2.74 % (7263)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_6827 for (2988ds/258Mi)
% 9.57/2.74 % (7262)Refutation not found, incomplete strategy
% 9.57/2.74 % (7262)------------------------------
% 9.57/2.74 % (7262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.74 % (7262)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.74
% 9.57/2.74
% 9.57/2.74 % (7262)Memory used [KB]: 7547
% 9.57/2.74 % (7262)Time elapsed: 0.059 s
% 9.57/2.74 % (7262)Instructions burned: 222 (million)
% 9.57/2.74 % (7262)------------------------------
% 9.57/2.74 % (7262)------------------------------
% 9.57/2.75 % (7264)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_6827 for (2988ds/26Mi)
% 9.57/2.76 % (7264)Instruction limit reached!
% 9.57/2.76 % (7264)------------------------------
% 9.57/2.76 % (7264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.76 % (7264)Termination reason: Unknown
% 9.57/2.76 % (7264)Termination phase: shuffling
% 9.57/2.76
% 9.57/2.76 % (7264)Memory used [KB]: 2046
% 9.57/2.76 % (7264)Time elapsed: 0.008 s
% 9.57/2.76 % (7264)Instructions burned: 26 (million)
% 9.57/2.76 % (7264)------------------------------
% 9.57/2.76 % (7264)------------------------------
% 9.57/2.76 % (7265)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_6827 for (2987ds/995Mi)
% 9.77/2.81 % (7263)Instruction limit reached!
% 9.77/2.81 % (7263)------------------------------
% 9.77/2.81 % (7263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.77/2.81 % (7263)Termination reason: Unknown
% 9.77/2.81 % (7263)Termination phase: Saturation
% 9.77/2.81
% 9.77/2.81 % (7263)Memory used [KB]: 8059
% 9.77/2.81 % (7263)Time elapsed: 0.077 s
% 9.77/2.81 % (7263)Instructions burned: 258 (million)
% 9.77/2.81 % (7263)------------------------------
% 9.77/2.81 % (7263)------------------------------
% 9.77/2.82 % (7266)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_6827 for (2987ds/373Mi)
% 9.77/2.88 % (7254)Instruction limit reached!
% 9.77/2.88 % (7254)------------------------------
% 9.77/2.88 % (7254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.77/2.88 % (7254)Termination reason: Unknown
% 9.77/2.88 % (7254)Termination phase: Saturation
% 9.77/2.88
% 9.77/2.88 % (7254)Memory used [KB]: 12792
% 9.77/2.88 % (7254)Time elapsed: 0.461 s
% 9.77/2.88 % (7254)Instructions burned: 1539 (million)
% 9.77/2.88 % (7254)------------------------------
% 9.77/2.88 % (7254)------------------------------
% 9.77/2.89 % (7267)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_6827 for (2986ds/253Mi)
% 10.34/2.94 % (7266)Instruction limit reached!
% 10.34/2.94 % (7266)------------------------------
% 10.34/2.94 % (7266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.34/2.94 % (7266)Termination reason: Unknown
% 10.34/2.94 % (7266)Termination phase: Saturation
% 10.34/2.94
% 10.34/2.94 % (7266)Memory used [KB]: 8827
% 10.34/2.94 % (7266)Time elapsed: 0.139 s
% 10.34/2.94 % (7266)Instructions burned: 374 (million)
% 10.34/2.94 % (7266)------------------------------
% 10.34/2.94 % (7266)------------------------------
% 10.34/2.95 % (7268)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_6827 for (2986ds/832Mi)
% 10.34/2.96 % (7267)Instruction limit reached!
% 10.34/2.96 % (7267)------------------------------
% 10.34/2.96 % (7267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.34/2.96 % (7267)Termination reason: Unknown
% 10.34/2.96 % (7267)Termination phase: Saturation
% 10.34/2.96
% 10.34/2.96 % (7267)Memory used [KB]: 7803
% 10.34/2.96 % (7267)Time elapsed: 0.069 s
% 10.34/2.96 % (7267)Instructions burned: 254 (million)
% 10.34/2.96 % (7267)------------------------------
% 10.34/2.96 % (7267)------------------------------
% 10.34/2.97 % (7269)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_6827 for (2985ds/668Mi)
% 10.34/3.01 % (7268)Refutation not found, incomplete strategy
% 10.34/3.01 % (7268)------------------------------
% 10.34/3.01 % (7268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.34/3.01 % (7268)Termination reason: Refutation not found, incomplete strategy
% 10.34/3.01
% 10.34/3.01
% 10.34/3.01 % (7268)Memory used [KB]: 8571
% 10.34/3.01 % (7268)Time elapsed: 0.086 s
% 10.34/3.01 % (7268)Instructions burned: 216 (million)
% 10.34/3.02 % (7268)------------------------------
% 10.34/3.02 % (7268)------------------------------
% 13.02/3.03 % (7270)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_6827 for (2985ds/40Mi)
% 13.02/3.04 % (7270)Instruction limit reached!
% 13.02/3.04 % (7270)------------------------------
% 13.02/3.04 % (7270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.02/3.04 % (7270)Termination reason: Unknown
% 13.02/3.04 % (7270)Termination phase: shuffling
% 13.02/3.04
% 13.02/3.04 % (7270)Memory used [KB]: 2174
% 13.02/3.04 % (7270)Time elapsed: 0.012 s
% 13.02/3.04 % (7270)Instructions burned: 40 (million)
% 13.02/3.04 % (7270)------------------------------
% 13.02/3.04 % (7270)------------------------------
% 13.02/3.05 % (7271)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_6827 for (2984ds/294Mi)
% 13.02/3.05 % (7265)Instruction limit reached!
% 13.02/3.05 % (7265)------------------------------
% 13.02/3.05 % (7265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.02/3.05 % (7265)Termination reason: Unknown
% 13.02/3.05 % (7265)Termination phase: Saturation
% 13.02/3.05
% 13.02/3.05 % (7265)Memory used [KB]: 8955
% 13.02/3.05 % (7265)Time elapsed: 0.283 s
% 13.02/3.05 % (7265)Instructions burned: 995 (million)
% 13.02/3.05 % (7265)------------------------------
% 13.02/3.05 % (7265)------------------------------
% 13.02/3.06 % (7272)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_6827 for (2984ds/187Mi)
% 13.02/3.09 % (7271)Refutation not found, incomplete strategy
% 13.02/3.09 % (7271)------------------------------
% 13.02/3.09 % (7271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.02/3.09 % (7271)Termination reason: Refutation not found, incomplete strategy
% 13.02/3.09
% 13.02/3.09
% 13.02/3.09 % (7271)Memory used [KB]: 7419
% 13.02/3.09 % (7271)Time elapsed: 0.046 s
% 13.02/3.09 % (7271)Instructions burned: 167 (million)
% 13.02/3.09 % (7271)------------------------------
% 13.02/3.09 % (7271)------------------------------
% 13.02/3.10 % (7273)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_6827 for (2984ds/371Mi)
% 13.02/3.11 % (7272)Instruction limit reached!
% 13.02/3.11 % (7272)------------------------------
% 13.02/3.11 % (7272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.02/3.11 % (7272)Termination reason: Unknown
% 13.02/3.11 % (7272)Termination phase: Saturation
% 13.02/3.11
% 13.02/3.11 % (7272)Memory used [KB]: 7291
% 13.02/3.11 % (7272)Time elapsed: 0.052 s
% 13.02/3.11 % (7272)Instructions burned: 187 (million)
% 13.02/3.11 % (7272)------------------------------
% 13.02/3.11 % (7272)------------------------------
% 13.02/3.12 % (7274)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_6827 for (2984ds/1827Mi)
% 13.71/3.14 % (7257)Instruction limit reached!
% 13.71/3.14 % (7257)------------------------------
% 13.71/3.14 % (7257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.14 % (7257)Termination reason: Unknown
% 13.71/3.14 % (7257)Termination phase: Saturation
% 13.71/3.14
% 13.71/3.14 % (7257)Memory used [KB]: 8443
% 13.71/3.14 % (7257)Time elapsed: 0.598 s
% 13.71/3.14 % (7257)Instructions burned: 1914 (million)
% 13.71/3.14 % (7257)------------------------------
% 13.71/3.14 % (7257)------------------------------
% 13.71/3.15 % (7275)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_6827 for (2983ds/70Mi)
% 13.71/3.16 % (7269)Instruction limit reached!
% 13.71/3.16 % (7269)------------------------------
% 13.71/3.16 % (7269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.16 % (7269)Termination reason: Unknown
% 13.71/3.16 % (7269)Termination phase: Saturation
% 13.71/3.16
% 13.71/3.16 % (7269)Memory used [KB]: 12409
% 13.71/3.16 % (7269)Time elapsed: 0.185 s
% 13.71/3.16 % (7269)Instructions burned: 668 (million)
% 13.71/3.16 % (7269)------------------------------
% 13.71/3.16 % (7269)------------------------------
% 13.71/3.17 % (7276)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_6827 for (2983ds/316Mi)
% 13.71/3.17 % (7275)Instruction limit reached!
% 13.71/3.17 % (7275)------------------------------
% 13.71/3.17 % (7275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.17 % (7275)Termination reason: Unknown
% 13.71/3.17 % (7275)Termination phase: Property scanning
% 13.71/3.17
% 13.71/3.17 % (7275)Memory used [KB]: 2686
% 13.71/3.17 % (7275)Time elapsed: 0.020 s
% 13.71/3.17 % (7275)Instructions burned: 70 (million)
% 13.71/3.17 % (7275)------------------------------
% 13.71/3.17 % (7275)------------------------------
% 13.71/3.18 % (7277)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_6827 for (2983ds/932Mi)
% 14.02/3.21 % (7273)Instruction limit reached!
% 14.02/3.21 % (7273)------------------------------
% 14.02/3.21 % (7273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.02/3.21 % (7273)Termination reason: Unknown
% 14.02/3.21 % (7273)Termination phase: Saturation
% 14.02/3.21
% 14.02/3.21 % (7273)Memory used [KB]: 8827
% 14.02/3.21 % (7273)Time elapsed: 0.113 s
% 14.02/3.21 % (7273)Instructions burned: 371 (million)
% 14.02/3.21 % (7273)------------------------------
% 14.02/3.21 % (7273)------------------------------
% 14.02/3.22 % (7278)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_6827 for (2983ds/4714Mi)
% 14.02/3.23 % (7276)Refutation not found, incomplete strategy
% 14.02/3.23 % (7276)------------------------------
% 14.02/3.23 % (7276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.02/3.23 % (7276)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.23
% 14.02/3.23
% 14.02/3.23 % (7276)Memory used [KB]: 7547
% 14.02/3.23 % (7276)Time elapsed: 0.065 s
% 14.02/3.23 % (7276)Instructions burned: 241 (million)
% 14.02/3.23 % (7276)------------------------------
% 14.02/3.23 % (7276)------------------------------
% 14.02/3.24 % (7279)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_6827 for (2983ds/8250Mi)
% 14.02/3.29 % (7278)Refutation not found, incomplete strategy
% 14.02/3.29 % (7278)------------------------------
% 14.02/3.29 % (7278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.02/3.29 % (7278)Termination reason: Refutation not found, incomplete strategy
% 14.02/3.29
% 14.02/3.29
% 14.02/3.29 % (7278)Memory used [KB]: 7803
% 14.02/3.29 % (7278)Time elapsed: 0.068 s
% 14.02/3.29 % (7278)Instructions burned: 250 (million)
% 14.02/3.29 % (7278)------------------------------
% 14.02/3.29 % (7278)------------------------------
% 14.60/3.30 % (7280)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_6827 for (2982ds/770Mi)
% 14.60/3.34 % (7280)Refutation not found, incomplete strategy
% 14.60/3.34 % (7280)------------------------------
% 14.60/3.34 % (7280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.60/3.34 % (7280)Termination reason: Refutation not found, incomplete strategy
% 14.60/3.34
% 14.60/3.34
% 14.60/3.34 % (7280)Memory used [KB]: 7547
% 14.60/3.34 % (7280)Time elapsed: 0.045 s
% 14.60/3.34 % (7280)Instructions burned: 145 (million)
% 14.60/3.34 % (7280)------------------------------
% 14.60/3.34 % (7280)------------------------------
% 14.60/3.35 % (7281)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_6827 for (2981ds/794Mi)
% 14.96/3.46 % (7277)Instruction limit reached!
% 14.96/3.46 % (7277)------------------------------
% 14.96/3.46 % (7277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.96/3.46 % (7277)Termination reason: Unknown
% 14.96/3.46 % (7277)Termination phase: Saturation
% 14.96/3.46
% 14.96/3.46 % (7277)Memory used [KB]: 11897
% 14.96/3.46 % (7277)Time elapsed: 0.283 s
% 14.96/3.46 % (7277)Instructions burned: 934 (million)
% 14.96/3.46 % (7277)------------------------------
% 14.96/3.46 % (7277)------------------------------
% 14.96/3.47 % (7282)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_6827 for (2980ds/464Mi)
% 15.85/3.60 % (7281)Instruction limit reached!
% 15.85/3.60 % (7281)------------------------------
% 15.85/3.60 % (7281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.85/3.60 % (7281)Termination reason: Unknown
% 15.85/3.60 % (7281)Termination phase: Saturation
% 15.85/3.60
% 15.85/3.60 % (7281)Memory used [KB]: 6652
% 15.85/3.60 % (7281)Time elapsed: 0.245 s
% 15.85/3.60 % (7281)Instructions burned: 796 (million)
% 15.85/3.60 % (7281)------------------------------
% 15.85/3.60 % (7281)------------------------------
% 15.85/3.61 % (7282)Instruction limit reached!
% 15.85/3.61 % (7282)------------------------------
% 15.85/3.61 % (7282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.85/3.61 % (7282)Termination reason: Unknown
% 15.85/3.61 % (7282)Termination phase: Saturation
% 15.85/3.61
% 15.85/3.61 % (7282)Memory used [KB]: 8187
% 15.85/3.61 % (7282)Time elapsed: 0.139 s
% 15.85/3.61 % (7282)Instructions burned: 466 (million)
% 15.85/3.61 % (7282)------------------------------
% 15.85/3.61 % (7282)------------------------------
% 15.85/3.61 % (7283)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_6827 for (2979ds/1376Mi)
% 15.85/3.62 % (7284)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_6827 for (2979ds/906Mi)
% 16.56/3.70 % (7274)Instruction limit reached!
% 16.56/3.70 % (7274)------------------------------
% 16.56/3.70 % (7274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.56/3.70 % (7274)Termination reason: Unknown
% 16.56/3.70 % (7274)Termination phase: Saturation
% 16.56/3.70
% 16.56/3.70 % (7274)Memory used [KB]: 13176
% 16.56/3.70 % (7274)Time elapsed: 0.588 s
% 16.56/3.70 % (7274)Instructions burned: 1828 (million)
% 16.56/3.70 % (7274)------------------------------
% 16.56/3.70 % (7274)------------------------------
% 16.56/3.71 % (7285)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_6827 for (2978ds/434Mi)
% 16.56/3.75 % (7285)Refutation not found, incomplete strategy
% 16.56/3.75 % (7285)------------------------------
% 16.56/3.75 % (7285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.56/3.75 % (7285)Termination reason: Refutation not found, incomplete strategy
% 16.56/3.75
% 16.56/3.75
% 16.56/3.75 % (7285)Memory used [KB]: 7291
% 16.56/3.75 % (7285)Time elapsed: 0.041 s
% 16.56/3.75 % (7285)Instructions burned: 124 (million)
% 16.56/3.75 % (7285)------------------------------
% 16.56/3.75 % (7285)------------------------------
% 16.56/3.76 % (7253)Instruction limit reached!
% 16.56/3.76 % (7253)------------------------------
% 16.56/3.76 % (7253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.56/3.76 % (7253)Termination reason: Unknown
% 16.56/3.76 % (7253)Termination phase: Saturation
% 16.56/3.76
% 16.56/3.76 % (7253)Memory used [KB]: 12920
% 16.56/3.76 % (7253)Time elapsed: 1.355 s
% 16.56/3.76 % (7253)Instructions burned: 4438 (million)
% 16.56/3.76 % (7253)------------------------------
% 16.56/3.76 % (7253)------------------------------
% 16.56/3.76 % (7286)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_6827 for (2977ds/865Mi)
% 16.56/3.77 % (7287)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_6827 for (2977ds/593Mi)
% 17.49/3.80 % (7258)Instruction limit reached!
% 17.49/3.80 % (7258)------------------------------
% 17.49/3.80 % (7258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.49/3.80 % (7258)Termination reason: Unknown
% 17.49/3.80 % (7258)Termination phase: Saturation
% 17.49/3.80
% 17.49/3.80 % (7258)Memory used [KB]: 16886
% 17.49/3.80 % (7258)Time elapsed: 1.239 s
% 17.49/3.80 % (7258)Instructions burned: 4351 (million)
% 17.49/3.80 % (7258)------------------------------
% 17.49/3.80 % (7258)------------------------------
% 17.49/3.81 % (7288)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_6827 for (2977ds/443Mi)
% 17.62/3.94 % (7287)Instruction limit reached!
% 17.62/3.94 % (7287)------------------------------
% 17.62/3.94 % (7287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/3.94 % (7287)Termination reason: Unknown
% 17.62/3.94 % (7287)Termination phase: Saturation
% 17.62/3.94
% 17.62/3.94 % (7287)Memory used [KB]: 8699
% 17.62/3.94 % (7287)Time elapsed: 0.169 s
% 17.62/3.94 % (7287)Instructions burned: 595 (million)
% 17.62/3.94 % (7287)------------------------------
% 17.62/3.94 % (7287)------------------------------
% 17.62/3.95 % (7284)Instruction limit reached!
% 17.62/3.95 % (7284)------------------------------
% 17.62/3.95 % (7284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/3.95 % (7284)Termination reason: Unknown
% 17.62/3.95 % (7284)Termination phase: Saturation
% 17.62/3.95
% 17.62/3.95 % (7284)Memory used [KB]: 12920
% 17.62/3.95 % (7284)Time elapsed: 0.333 s
% 17.62/3.95 % (7284)Instructions burned: 906 (million)
% 17.62/3.95 % (7284)------------------------------
% 17.62/3.95 % (7284)------------------------------
% 17.62/3.95 % (7289)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_6827 for (2975ds/594Mi)
% 17.62/3.95 % (7288)Instruction limit reached!
% 17.62/3.95 % (7288)------------------------------
% 17.62/3.95 % (7288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/3.95 % (7288)Termination reason: Unknown
% 17.62/3.95 % (7288)Termination phase: Saturation
% 17.62/3.95
% 17.62/3.95 % (7288)Memory used [KB]: 8699
% 17.62/3.95 % (7288)Time elapsed: 0.140 s
% 17.62/3.95 % (7288)Instructions burned: 446 (million)
% 17.62/3.95 % (7288)------------------------------
% 17.62/3.95 % (7288)------------------------------
% 17.62/3.96 % (7290)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_6827 for (2975ds/327Mi)
% 17.62/3.96 % (7291)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_6827 for (2975ds/5411Mi)
% 17.62/4.00 % (7291)Refutation not found, incomplete strategy
% 17.62/4.00 % (7291)------------------------------
% 17.62/4.00 % (7291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/4.00 % (7291)Termination reason: Refutation not found, incomplete strategy
% 17.62/4.00
% 17.62/4.00
% 17.62/4.00 % (7291)Memory used [KB]: 7164
% 17.62/4.00 % (7291)Time elapsed: 0.036 s
% 17.62/4.00 % (7291)Instructions burned: 114 (million)
% 17.62/4.00 % (7291)------------------------------
% 17.62/4.00 % (7291)------------------------------
% 17.62/4.01 % (7292)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_6827 for (2975ds/1762Mi)
% 17.62/4.02 % (7286)Instruction limit reached!
% 17.62/4.02 % (7286)------------------------------
% 17.62/4.02 % (7286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.62/4.02 % (7286)Termination reason: Unknown
% 17.62/4.02 % (7286)Termination phase: Saturation
% 17.62/4.02
% 17.62/4.02 % (7286)Memory used [KB]: 9338
% 17.62/4.02 % (7286)Time elapsed: 0.254 s
% 17.62/4.02 % (7286)Instructions burned: 866 (million)
% 17.62/4.02 % (7286)------------------------------
% 17.62/4.02 % (7286)------------------------------
% 20.03/4.03 % (7293)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_6827 for (2975ds/96Mi)
% 20.03/4.05 % (7283)Instruction limit reached!
% 20.03/4.05 % (7283)------------------------------
% 20.03/4.05 % (7283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.05 % (7283)Termination reason: Unknown
% 20.03/4.05 % (7283)Termination phase: Saturation
% 20.03/4.05
% 20.03/4.05 % (7283)Memory used [KB]: 13816
% 20.03/4.05 % (7283)Time elapsed: 0.445 s
% 20.03/4.05 % (7283)Instructions burned: 1376 (million)
% 20.03/4.05 % (7283)------------------------------
% 20.03/4.05 % (7283)------------------------------
% 20.03/4.05 % (7293)Instruction limit reached!
% 20.03/4.05 % (7293)------------------------------
% 20.03/4.05 % (7293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.05 % (7293)Termination reason: Unknown
% 20.03/4.05 % (7293)Termination phase: Preprocessing 3
% 20.03/4.05
% 20.03/4.05 % (7293)Memory used [KB]: 2686
% 20.03/4.05 % (7293)Time elapsed: 0.028 s
% 20.03/4.05 % (7293)Instructions burned: 98 (million)
% 20.03/4.05 % (7293)------------------------------
% 20.03/4.05 % (7293)------------------------------
% 20.03/4.06 % (7290)Instruction limit reached!
% 20.03/4.06 % (7290)------------------------------
% 20.03/4.06 % (7290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.06 % (7290)Termination reason: Unknown
% 20.03/4.06 % (7290)Termination phase: Saturation
% 20.03/4.06
% 20.03/4.06 % (7290)Memory used [KB]: 8059
% 20.03/4.06 % (7290)Time elapsed: 0.102 s
% 20.03/4.06 % (7290)Instructions burned: 329 (million)
% 20.03/4.06 % (7290)------------------------------
% 20.03/4.06 % (7290)------------------------------
% 20.03/4.06 % (7294)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/503Mi)
% 20.03/4.06 % (7295)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/90Mi)
% 20.03/4.07 % (7296)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/593Mi)
% 20.03/4.09 % (7295)Instruction limit reached!
% 20.03/4.09 % (7295)------------------------------
% 20.03/4.09 % (7295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.09 % (7295)Termination reason: Unknown
% 20.03/4.09 % (7295)Termination phase: Property scanning
% 20.03/4.09
% 20.03/4.09 % (7295)Memory used [KB]: 2558
% 20.03/4.09 % (7295)Time elapsed: 0.027 s
% 20.03/4.09 % (7295)Instructions burned: 92 (million)
% 20.03/4.09 % (7295)------------------------------
% 20.03/4.09 % (7295)------------------------------
% 20.03/4.10 % (7297)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/1512Mi)
% 20.03/4.10 % (7256)Instruction limit reached!
% 20.03/4.10 % (7256)------------------------------
% 20.03/4.10 % (7256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.10 % (7256)Termination reason: Unknown
% 20.03/4.10 % (7256)Termination phase: Saturation
% 20.03/4.10
% 20.03/4.10 % (7256)Memory used [KB]: 17654
% 20.03/4.10 % (7256)Time elapsed: 1.638 s
% 20.03/4.10 % (7256)Instructions burned: 5205 (million)
% 20.03/4.10 % (7256)------------------------------
% 20.03/4.10 % (7256)------------------------------
% 20.03/4.11 % (7298)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/569Mi)
% 20.03/4.11 % (7294)Refutation not found, incomplete strategy
% 20.03/4.11 % (7294)------------------------------
% 20.03/4.11 % (7294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.03/4.11 % (7294)Termination reason: Refutation not found, incomplete strategy
% 20.03/4.11
% 20.03/4.11
% 20.03/4.11 % (7294)Memory used [KB]: 7931
% 20.03/4.11 % (7294)Time elapsed: 0.051 s
% 20.03/4.11 % (7294)Instructions burned: 164 (million)
% 20.03/4.11 % (7294)------------------------------
% 20.03/4.11 % (7294)------------------------------
% 20.03/4.12 % (7299)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/501Mi)
% 20.54/4.14 % (7289)Instruction limit reached!
% 20.54/4.14 % (7289)------------------------------
% 20.54/4.14 % (7289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.54/4.14 % (7289)Termination reason: Unknown
% 20.54/4.14 % (7289)Termination phase: Saturation
% 20.54/4.14
% 20.54/4.14 % (7289)Memory used [KB]: 9594
% 20.54/4.14 % (7289)Time elapsed: 0.186 s
% 20.54/4.14 % (7289)Instructions burned: 595 (million)
% 20.54/4.14 % (7289)------------------------------
% 20.54/4.14 % (7289)------------------------------
% 20.54/4.15 % (7300)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_6827 for (2974ds/562Mi)
% 20.54/4.17 % (7297)Refutation not found, incomplete strategy
% 20.54/4.17 % (7297)------------------------------
% 20.54/4.17 % (7297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.54/4.17 % (7297)Termination reason: Refutation not found, incomplete strategy
% 20.54/4.17
% 20.54/4.17
% 20.54/4.17 % (7297)Memory used [KB]: 8571
% 20.54/4.17 % (7297)Time elapsed: 0.075 s
% 20.54/4.17 % (7297)Instructions burned: 246 (million)
% 20.54/4.17 % (7297)------------------------------
% 20.54/4.17 % (7297)------------------------------
% 20.54/4.19 % (7301)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_6827 for (2973ds/406Mi)
% 20.73/4.24 % (7296)Instruction limit reached!
% 20.73/4.24 % (7296)------------------------------
% 20.73/4.24 % (7296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.73/4.24 % (7296)Termination reason: Unknown
% 20.73/4.24 % (7296)Termination phase: Saturation
% 20.73/4.24
% 20.73/4.24 % (7296)Memory used [KB]: 9594
% 20.73/4.24 % (7296)Time elapsed: 0.176 s
% 20.73/4.24 % (7296)Instructions burned: 593 (million)
% 20.73/4.24 % (7296)------------------------------
% 20.73/4.24 % (7296)------------------------------
% 20.73/4.25 % (7302)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_6827 for (2973ds/582Mi)
% 20.73/4.27 % (7299)Instruction limit reached!
% 20.73/4.27 % (7299)------------------------------
% 20.73/4.27 % (7299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.73/4.27 % (7299)Termination reason: Unknown
% 20.73/4.27 % (7299)Termination phase: Saturation
% 20.73/4.27
% 20.73/4.27 % (7299)Memory used [KB]: 9722
% 20.73/4.27 % (7299)Time elapsed: 0.144 s
% 20.73/4.27 % (7299)Instructions burned: 501 (million)
% 20.73/4.27 % (7299)------------------------------
% 20.73/4.27 % (7299)------------------------------
% 20.73/4.27 % (7298)Instruction limit reached!
% 20.73/4.27 % (7298)------------------------------
% 20.73/4.27 % (7298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.73/4.27 % (7298)Termination reason: Unknown
% 20.73/4.27 % (7298)Termination phase: Saturation
% 20.73/4.27
% 20.73/4.27 % (7298)Memory used [KB]: 9338
% 20.73/4.27 % (7298)Time elapsed: 0.161 s
% 20.73/4.27 % (7298)Instructions burned: 569 (million)
% 20.73/4.27 % (7298)------------------------------
% 20.73/4.27 % (7298)------------------------------
% 20.73/4.28 % (7303)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_6827 for (2972ds/456Mi)
% 20.73/4.28 % (7304)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_6827 for (2972ds/393Mi)
% 21.33/4.31 % (7300)Instruction limit reached!
% 21.33/4.31 % (7300)------------------------------
% 21.33/4.31 % (7300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.33/4.31 % (7300)Termination reason: Unknown
% 21.33/4.31 % (7300)Termination phase: Saturation
% 21.33/4.31
% 21.33/4.31 % (7300)Memory used [KB]: 9083
% 21.33/4.31 % (7300)Time elapsed: 0.160 s
% 21.33/4.31 % (7300)Instructions burned: 563 (million)
% 21.33/4.31 % (7300)------------------------------
% 21.33/4.31 % (7300)------------------------------
% 21.33/4.32 % (7305)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_6827 for (2972ds/1335Mi)
% 21.33/4.37 % (7301)Instruction limit reached!
% 21.33/4.37 % (7301)------------------------------
% 21.33/4.37 % (7301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.33/4.37 % (7301)Termination reason: Unknown
% 21.33/4.37 % (7301)Termination phase: Saturation
% 21.33/4.37
% 21.33/4.37 % (7301)Memory used [KB]: 8699
% 21.33/4.37 % (7301)Time elapsed: 0.180 s
% 21.33/4.37 % (7301)Instructions burned: 407 (million)
% 21.33/4.37 % (7301)------------------------------
% 21.33/4.37 % (7301)------------------------------
% 21.33/4.38 % (7306)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_6827 for (2971ds/3373Mi)
% 21.33/4.39 % (7304)Instruction limit reached!
% 21.33/4.39 % (7304)------------------------------
% 21.33/4.39 % (7304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.33/4.39 % (7304)Termination reason: Unknown
% 21.33/4.39 % (7304)Termination phase: Saturation
% 21.33/4.39
% 21.33/4.39 % (7304)Memory used [KB]: 8443
% 21.33/4.39 % (7304)Time elapsed: 0.109 s
% 21.33/4.39 % (7304)Instructions burned: 395 (million)
% 21.33/4.39 % (7304)------------------------------
% 21.33/4.39 % (7304)------------------------------
% 21.92/4.40 % (7307)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_6827 for (2971ds/474Mi)
% 21.92/4.41 % (7303)Instruction limit reached!
% 21.92/4.41 % (7303)------------------------------
% 21.92/4.41 % (7303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.92/4.41 % (7303)Termination reason: Unknown
% 21.92/4.41 % (7303)Termination phase: Saturation
% 21.92/4.41
% 21.92/4.41 % (7303)Memory used [KB]: 9466
% 21.92/4.41 % (7303)Time elapsed: 0.137 s
% 21.92/4.41 % (7303)Instructions burned: 458 (million)
% 21.92/4.41 % (7303)------------------------------
% 21.92/4.41 % (7303)------------------------------
% 21.92/4.42 % (7308)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_6827 for (2971ds/157Mi)
% 21.92/4.43 % (7302)Instruction limit reached!
% 21.92/4.43 % (7302)------------------------------
% 21.92/4.43 % (7302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.92/4.43 % (7302)Termination reason: Unknown
% 21.92/4.43 % (7302)Termination phase: Saturation
% 21.92/4.43
% 21.92/4.43 % (7302)Memory used [KB]: 9210
% 21.92/4.43 % (7302)Time elapsed: 0.198 s
% 21.92/4.43 % (7302)Instructions burned: 582 (million)
% 21.92/4.43 % (7302)------------------------------
% 21.92/4.43 % (7302)------------------------------
% 21.92/4.44 % (7309)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_6827 for (2971ds/590Mi)
% 21.92/4.46 % (7308)Instruction limit reached!
% 21.92/4.46 % (7308)------------------------------
% 21.92/4.46 % (7308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.92/4.46 % (7308)Termination reason: Unknown
% 21.92/4.46 % (7308)Termination phase: Property scanning
% 21.92/4.46
% 21.92/4.46 % (7308)Memory used [KB]: 2686
% 21.92/4.46 % (7308)Time elapsed: 0.044 s
% 21.92/4.46 % (7308)Instructions burned: 159 (million)
% 21.92/4.46 % (7308)------------------------------
% 21.92/4.46 % (7308)------------------------------
% 21.92/4.47 % (7310)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_6827 for (2970ds/104Mi)
% 22.41/4.50 % (7310)Instruction limit reached!
% 22.41/4.50 % (7310)------------------------------
% 22.41/4.50 % (7310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.41/4.50 % (7310)Termination reason: Unknown
% 22.41/4.50 % (7310)Termination phase: Property scanning
% 22.41/4.50
% 22.41/4.50 % (7310)Memory used [KB]: 2558
% 22.41/4.50 % (7310)Time elapsed: 0.030 s
% 22.41/4.50 % (7310)Instructions burned: 104 (million)
% 22.41/4.50 % (7310)------------------------------
% 22.41/4.50 % (7310)------------------------------
% 22.41/4.51 % (7311)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_6827 for (2970ds/414Mi)
% 22.41/4.52 % (7292)Instruction limit reached!
% 22.41/4.52 % (7292)------------------------------
% 22.41/4.52 % (7292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.41/4.52 % (7292)Termination reason: Unknown
% 22.41/4.52 % (7292)Termination phase: Saturation
% 22.41/4.52
% 22.41/4.52 % (7292)Memory used [KB]: 11897
% 22.41/4.52 % (7292)Time elapsed: 0.517 s
% 22.41/4.52 % (7292)Instructions burned: 1765 (million)
% 22.41/4.52 % (7292)------------------------------
% 22.41/4.52 % (7292)------------------------------
% 22.41/4.53 % (7312)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_6827 for (2970ds/715Mi)
% 22.41/4.54 % (7307)Instruction limit reached!
% 22.41/4.54 % (7307)------------------------------
% 22.41/4.54 % (7307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.41/4.54 % (7307)Termination reason: Unknown
% 22.41/4.54 % (7307)Termination phase: Saturation
% 22.41/4.54
% 22.41/4.54 % (7307)Memory used [KB]: 9083
% 22.41/4.54 % (7307)Time elapsed: 0.141 s
% 22.41/4.54 % (7307)Instructions burned: 475 (million)
% 22.41/4.54 % (7307)------------------------------
% 22.41/4.54 % (7307)------------------------------
% 22.41/4.55 % (7313)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_6827 for (2969ds/961Mi)
% 23.23/4.61 % (7309)Instruction limit reached!
% 23.23/4.61 % (7309)------------------------------
% 23.23/4.61 % (7309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.23/4.61 % (7309)Termination reason: Unknown
% 23.23/4.61 % (7309)Termination phase: Saturation
% 23.23/4.61
% 23.23/4.61 % (7309)Memory used [KB]: 8315
% 23.23/4.61 % (7309)Time elapsed: 0.177 s
% 23.23/4.61 % (7309)Instructions burned: 590 (million)
% 23.23/4.61 % (7309)------------------------------
% 23.23/4.61 % (7309)------------------------------
% 23.23/4.62 % (7314)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_6827 for (2969ds/1213Mi)
% 23.23/4.63 % (7311)Instruction limit reached!
% 23.23/4.63 % (7311)------------------------------
% 23.23/4.63 % (7311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.23/4.63 % (7311)Termination reason: Unknown
% 23.23/4.63 % (7311)Termination phase: Saturation
% 23.23/4.63
% 23.23/4.63 % (7311)Memory used [KB]: 7931
% 23.23/4.63 % (7311)Time elapsed: 0.121 s
% 23.23/4.63 % (7311)Instructions burned: 417 (million)
% 23.23/4.63 % (7311)------------------------------
% 23.23/4.63 % (7311)------------------------------
% 23.23/4.64 % (7315)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_6827 for (2969ds/1979Mi)
% 23.65/4.71 % (7305)Instruction limit reached!
% 23.65/4.71 % (7305)------------------------------
% 23.65/4.71 % (7305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.65/4.71 % (7305)Termination reason: Unknown
% 23.65/4.71 % (7305)Termination phase: Saturation
% 23.65/4.71
% 23.65/4.71 % (7305)Memory used [KB]: 9466
% 23.65/4.71 % (7305)Time elapsed: 0.393 s
% 23.65/4.71 % (7305)Instructions burned: 1337 (million)
% 23.65/4.71 % (7305)------------------------------
% 23.65/4.71 % (7305)------------------------------
% 23.65/4.72 % (7316)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_6827 for (2968ds/481Mi)
% 23.65/4.75 % (7312)Instruction limit reached!
% 23.65/4.75 % (7312)------------------------------
% 23.65/4.75 % (7312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.65/4.75 % (7312)Termination reason: Unknown
% 23.65/4.75 % (7312)Termination phase: Saturation
% 23.65/4.75
% 23.65/4.75 % (7312)Memory used [KB]: 5756
% 23.65/4.75 % (7312)Time elapsed: 0.219 s
% 23.65/4.75 % (7312)Instructions burned: 716 (million)
% 23.65/4.75 % (7312)------------------------------
% 23.65/4.75 % (7312)------------------------------
% 23.65/4.76 % (7317)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_6827 for (2967ds/783Mi)
% 24.37/4.85 % (7313)Instruction limit reached!
% 24.37/4.85 % (7313)------------------------------
% 24.37/4.85 % (7313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.37/4.85 % (7313)Termination reason: Unknown
% 24.37/4.85 % (7313)Termination phase: Saturation
% 24.37/4.85
% 24.37/4.85 % (7313)Memory used [KB]: 8827
% 24.37/4.85 % (7313)Time elapsed: 0.299 s
% 24.37/4.85 % (7313)Instructions burned: 963 (million)
% 24.37/4.85 % (7313)------------------------------
% 24.37/4.85 % (7313)------------------------------
% 24.37/4.86 % (7318)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_6827 for (2966ds/432Mi)
% 24.37/4.86 % (7316)Instruction limit reached!
% 24.37/4.86 % (7316)------------------------------
% 24.37/4.86 % (7316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.37/4.86 % (7316)Termination reason: Unknown
% 24.37/4.86 % (7316)Termination phase: Saturation
% 24.37/4.86
% 24.37/4.86 % (7316)Memory used [KB]: 7931
% 24.37/4.86 % (7316)Time elapsed: 0.141 s
% 24.37/4.86 % (7316)Instructions burned: 481 (million)
% 24.37/4.86 % (7316)------------------------------
% 24.37/4.86 % (7316)------------------------------
% 24.37/4.87 % (7319)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_6827 for (2966ds/1670Mi)
% 24.93/4.99 % (7318)Instruction limit reached!
% 24.93/4.99 % (7318)------------------------------
% 24.93/4.99 % (7318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.93/4.99 % (7318)Termination reason: Unknown
% 24.93/4.99 % (7318)Termination phase: Saturation
% 24.93/4.99
% 24.93/4.99 % (7318)Memory used [KB]: 7931
% 24.93/4.99 % (7318)Time elapsed: 0.131 s
% 24.93/4.99 % (7318)Instructions burned: 433 (million)
% 24.93/4.99 % (7318)------------------------------
% 24.93/4.99 % (7318)------------------------------
% 24.93/4.99 % (7314)Instruction limit reached!
% 24.93/4.99 % (7314)------------------------------
% 24.93/4.99 % (7314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.93/4.99 % (7314)Termination reason: Unknown
% 24.93/4.99 % (7314)Termination phase: Saturation
% 24.93/4.99
% 24.93/4.99 % (7314)Memory used [KB]: 10234
% 24.93/4.99 % (7314)Time elapsed: 0.370 s
% 24.93/4.99 % (7314)Instructions burned: 1214 (million)
% 24.93/4.99 % (7314)------------------------------
% 24.93/4.99 % (7314)------------------------------
% 24.93/5.00 % (7320)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_6827 for (2965ds/90Mi)
% 24.93/5.00 % (7321)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_6827 for (2965ds/346Mi)
% 24.93/5.00 % (7317)Instruction limit reached!
% 24.93/5.00 % (7317)------------------------------
% 24.93/5.00 % (7317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.93/5.00 % (7317)Termination reason: Unknown
% 24.93/5.00 % (7317)Termination phase: Saturation
% 24.93/5.00
% 24.93/5.00 % (7317)Memory used [KB]: 8443
% 24.93/5.00 % (7317)Time elapsed: 0.241 s
% 24.93/5.00 % (7317)Instructions burned: 786 (million)
% 24.93/5.00 % (7317)------------------------------
% 24.93/5.00 % (7317)------------------------------
% 24.93/5.01 % (7322)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_6827 for (2965ds/401Mi)
% 26.98/5.02 % (7320)Instruction limit reached!
% 26.98/5.02 % (7320)------------------------------
% 26.98/5.02 % (7320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.98/5.02 % (7320)Termination reason: Unknown
% 26.98/5.02 % (7320)Termination phase: Property scanning
% 26.98/5.02
% 26.98/5.02 % (7320)Memory used [KB]: 2558
% 26.98/5.02 % (7320)Time elapsed: 0.027 s
% 26.98/5.02 % (7320)Instructions burned: 92 (million)
% 26.98/5.02 % (7320)------------------------------
% 26.98/5.02 % (7320)------------------------------
% 26.98/5.03 % (7323)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_6827 for (2965ds/6454Mi)
% 26.98/5.10 % (7321)Instruction limit reached!
% 26.98/5.10 % (7321)------------------------------
% 26.98/5.10 % (7321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.98/5.10 % (7321)Termination reason: Unknown
% 26.98/5.10 % (7321)Termination phase: Saturation
% 26.98/5.10
% 26.98/5.10 % (7321)Memory used [KB]: 8059
% 26.98/5.10 % (7321)Time elapsed: 0.099 s
% 26.98/5.10 % (7321)Instructions burned: 347 (million)
% 26.98/5.10 % (7321)------------------------------
% 26.98/5.10 % (7321)------------------------------
% 26.98/5.11 % (7324)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_6827 for (2964ds/283Mi)
% 27.51/5.12 % (7322)Instruction limit reached!
% 27.51/5.12 % (7322)------------------------------
% 27.51/5.12 % (7322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.51/5.12 % (7322)Termination reason: Unknown
% 27.51/5.12 % (7322)Termination phase: Saturation
% 27.51/5.12
% 27.51/5.12 % (7322)Memory used [KB]: 8827
% 27.51/5.12 % (7322)Time elapsed: 0.109 s
% 27.51/5.12 % (7322)Instructions burned: 403 (million)
% 27.51/5.12 % (7322)------------------------------
% 27.51/5.12 % (7322)------------------------------
% 27.51/5.13 % (7325)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_6827 for (2964ds/865Mi)
% 27.51/5.19 % (7324)Instruction limit reached!
% 27.51/5.19 % (7324)------------------------------
% 27.51/5.19 % (7324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.51/5.19 % (7324)Termination reason: Unknown
% 27.51/5.19 % (7324)Termination phase: Saturation
% 27.51/5.19
% 27.51/5.19 % (7324)Memory used [KB]: 7931
% 27.51/5.19 % (7324)Time elapsed: 0.085 s
% 27.51/5.19 % (7324)Instructions burned: 284 (million)
% 27.51/5.19 % (7324)------------------------------
% 27.51/5.19 % (7324)------------------------------
% 28.07/5.20 % (7326)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_6827 for (2963ds/4528Mi)
% 28.07/5.25 % (7315)Instruction limit reached!
% 28.07/5.25 % (7315)------------------------------
% 28.07/5.25 % (7315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.07/5.25 % (7315)Termination reason: Unknown
% 28.07/5.25 % (7315)Termination phase: Saturation
% 28.07/5.25
% 28.07/5.25 % (7315)Memory used [KB]: 9594
% 28.07/5.25 % (7315)Time elapsed: 0.607 s
% 28.07/5.25 % (7315)Instructions burned: 1980 (million)
% 28.07/5.25 % (7315)------------------------------
% 28.07/5.25 % (7315)------------------------------
% 28.07/5.26 % (7327)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_6827 for (2962ds/1001Mi)
% 28.07/5.28 % (7326)Refutation not found, incomplete strategy
% 28.07/5.28 % (7326)------------------------------
% 28.07/5.28 % (7326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.07/5.28 % (7326)Termination reason: Refutation not found, incomplete strategy
% 28.07/5.28
% 28.07/5.28
% 28.07/5.28 % (7326)Memory used [KB]: 3198
% 28.07/5.28 % (7326)Time elapsed: 0.102 s
% 28.07/5.28 % (7326)Instructions burned: 278 (million)
% 28.07/5.28 % (7326)------------------------------
% 28.07/5.28 % (7326)------------------------------
% 28.07/5.29 % (7328)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_6827 for (2962ds/102Mi)
% 28.52/5.32 % (7328)Instruction limit reached!
% 28.52/5.32 % (7328)------------------------------
% 28.52/5.32 % (7328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.52/5.32 % (7328)Termination reason: Unknown
% 28.52/5.32 % (7328)Termination phase: Property scanning
% 28.52/5.32
% 28.52/5.32 % (7328)Memory used [KB]: 2686
% 28.52/5.32 % (7328)Time elapsed: 0.028 s
% 28.52/5.32 % (7328)Instructions burned: 104 (million)
% 28.52/5.32 % (7328)------------------------------
% 28.52/5.32 % (7328)------------------------------
% 28.52/5.33 % (7319)Instruction limit reached!
% 28.52/5.33 % (7319)------------------------------
% 28.52/5.33 % (7319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.52/5.33 % (7319)Termination reason: Unknown
% 28.52/5.33 % (7319)Termination phase: Saturation
% 28.52/5.33
% 28.52/5.33 % (7319)Memory used [KB]: 8955
% 28.52/5.33 % (7319)Time elapsed: 0.460 s
% 28.52/5.33 % (7319)Instructions burned: 1671 (million)
% 28.52/5.33 % (7319)------------------------------
% 28.52/5.33 % (7319)------------------------------
% 28.52/5.33 % (7329)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_6827 for (2962ds/952Mi)
% 28.52/5.34 % (7330)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_6827 for (2962ds/578Mi)
% 28.52/5.38 % (7325)Instruction limit reached!
% 28.52/5.38 % (7325)------------------------------
% 28.52/5.38 % (7325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.52/5.38 % (7325)Termination reason: Unknown
% 28.52/5.38 % (7325)Termination phase: Saturation
% 28.52/5.38
% 28.52/5.38 % (7325)Memory used [KB]: 9722
% 28.52/5.38 % (7325)Time elapsed: 0.253 s
% 28.52/5.38 % (7325)Instructions burned: 867 (million)
% 28.52/5.38 % (7325)------------------------------
% 28.52/5.38 % (7325)------------------------------
% 28.52/5.39 % (7306)Instruction limit reached!
% 28.52/5.39 % (7306)------------------------------
% 28.52/5.39 % (7306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.52/5.39 % (7306)Termination reason: Unknown
% 28.52/5.39 % (7306)Termination phase: Saturation
% 28.52/5.39
% 28.52/5.39 % (7306)Memory used [KB]: 19445
% 28.52/5.39 % (7306)Time elapsed: 1.006 s
% 28.52/5.39 % (7306)Instructions burned: 3375 (million)
% 28.52/5.39 % (7306)------------------------------
% 28.52/5.39 % (7306)------------------------------
% 28.52/5.39 % (7331)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_6827 for (2961ds/643Mi)
% 28.52/5.40 % (7332)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_6827 for (2961ds/865Mi)
% 29.17/5.51 % (7330)Instruction limit reached!
% 29.17/5.51 % (7330)------------------------------
% 29.17/5.51 % (7330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.17/5.51 % (7330)Termination reason: Unknown
% 29.17/5.51 % (7330)Termination phase: Saturation
% 29.17/5.51
% 29.17/5.51 % (7330)Memory used [KB]: 8699
% 29.17/5.51 % (7330)Time elapsed: 0.172 s
% 29.17/5.51 % (7330)Instructions burned: 578 (million)
% 29.17/5.51 % (7330)------------------------------
% 29.17/5.51 % (7330)------------------------------
% 29.17/5.52 % (7333)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_6827 for (2960ds/1174Mi)
% 29.17/5.56 % (7327)Instruction limit reached!
% 29.17/5.56 % (7327)------------------------------
% 29.17/5.56 % (7327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.17/5.56 % (7327)Termination reason: Unknown
% 29.17/5.56 % (7327)Termination phase: Saturation
% 29.17/5.56
% 29.17/5.56 % (7327)Memory used [KB]: 10618
% 29.17/5.56 % (7327)Time elapsed: 0.323 s
% 29.17/5.56 % (7327)Instructions burned: 1002 (million)
% 29.17/5.56 % (7327)------------------------------
% 29.17/5.56 % (7327)------------------------------
% 29.17/5.57 % (7331)Instruction limit reached!
% 29.17/5.57 % (7331)------------------------------
% 29.17/5.57 % (7331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.17/5.57 % (7331)Termination reason: Unknown
% 29.17/5.57 % (7331)Termination phase: Saturation
% 29.17/5.57
% 29.17/5.57 % (7331)Memory used [KB]: 8955
% 29.17/5.57 % (7331)Time elapsed: 0.177 s
% 29.17/5.57 % (7331)Instructions burned: 644 (million)
% 29.17/5.57 % (7331)------------------------------
% 29.17/5.57 % (7331)------------------------------
% 29.17/5.57 % (7334)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_6827 for (2959ds/644Mi)
% 29.17/5.58 % (7335)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_6827 for (2959ds/1201Mi)
% 29.95/5.62 % (7329)Instruction limit reached!
% 29.95/5.62 % (7329)------------------------------
% 29.95/5.62 % (7329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.95/5.62 % (7329)Termination reason: Unknown
% 29.95/5.62 % (7329)Termination phase: Saturation
% 29.95/5.62
% 29.95/5.62 % (7329)Memory used [KB]: 10618
% 29.95/5.62 % (7329)Time elapsed: 0.292 s
% 29.95/5.62 % (7329)Instructions burned: 954 (million)
% 29.95/5.62 % (7329)------------------------------
% 29.95/5.62 % (7329)------------------------------
% 29.95/5.63 % (7336)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_6827 for (2959ds/1046Mi)
% 29.95/5.65 % (7334)Refutation not found, incomplete strategy
% 29.95/5.65 % (7334)------------------------------
% 29.95/5.65 % (7334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.95/5.65 % (7334)Termination reason: Refutation not found, incomplete strategy
% 29.95/5.65
% 29.95/5.65
% 29.95/5.65 % (7334)Memory used [KB]: 9210
% 29.95/5.65 % (7334)Time elapsed: 0.078 s
% 29.95/5.65 % (7334)Instructions burned: 258 (million)
% 29.95/5.65 % (7334)------------------------------
% 29.95/5.65 % (7334)------------------------------
% 29.95/5.66 % (7337)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_6827 for (2958ds/222Mi)
% 29.95/5.66 % (7332)Instruction limit reached!
% 29.95/5.66 % (7332)------------------------------
% 29.95/5.66 % (7332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.95/5.66 % (7332)Termination reason: Unknown
% 29.95/5.66 % (7332)Termination phase: Saturation
% 29.95/5.66
% 29.95/5.66 % (7332)Memory used [KB]: 10234
% 29.95/5.66 % (7332)Time elapsed: 0.264 s
% 29.95/5.66 % (7332)Instructions burned: 867 (million)
% 29.95/5.66 % (7332)------------------------------
% 29.95/5.66 % (7332)------------------------------
% 29.95/5.67 % (7338)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_6827 for (2958ds/68Mi)
% 29.95/5.69 % (7338)Instruction limit reached!
% 29.95/5.69 % (7338)------------------------------
% 29.95/5.69 % (7338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.95/5.69 % (7338)Termination reason: Unknown
% 29.95/5.69 % (7338)Termination phase: Preprocessing 3
% 29.95/5.69
% 29.95/5.69 % (7338)Memory used [KB]: 2430
% 29.95/5.69 % (7338)Time elapsed: 0.022 s
% 29.95/5.69 % (7338)Instructions burned: 70 (million)
% 29.95/5.69 % (7338)------------------------------
% 29.95/5.69 % (7338)------------------------------
% 30.74/5.70 % (7339)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_6827 for (2958ds/454Mi)
% 30.74/5.71 % (7337)Instruction limit reached!
% 30.74/5.71 % (7337)------------------------------
% 30.74/5.71 % (7337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.74/5.71 % (7337)Termination reason: Unknown
% 30.74/5.71 % (7337)Termination phase: Saturation
% 30.74/5.71
% 30.74/5.71 % (7337)Memory used [KB]: 7291
% 30.74/5.71 % (7337)Time elapsed: 0.059 s
% 30.74/5.71 % (7337)Instructions burned: 223 (million)
% 30.74/5.71 % (7337)------------------------------
% 30.74/5.71 % (7337)------------------------------
% 30.74/5.72 % (7340)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_6827 for (2958ds/360Mi)
% 30.90/5.80 % (7279)Instruction limit reached!
% 30.90/5.80 % (7279)------------------------------
% 30.90/5.80 % (7279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.80 % (7279)Termination reason: Unknown
% 30.90/5.80 % (7279)Termination phase: Saturation
% 30.90/5.80
% 30.90/5.80 % (7279)Memory used [KB]: 21236
% 30.90/5.80 % (7279)Time elapsed: 2.560 s
% 30.90/5.80 % (7279)Instructions burned: 8252 (million)
% 30.90/5.80 % (7279)------------------------------
% 30.90/5.80 % (7279)------------------------------
% 30.90/5.81 % (7341)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_6827 for (2957ds/157Mi)
% 30.90/5.82 % (7340)Instruction limit reached!
% 30.90/5.82 % (7340)------------------------------
% 30.90/5.82 % (7340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.82 % (7340)Termination reason: Unknown
% 30.90/5.82 % (7340)Termination phase: Saturation
% 30.90/5.82
% 30.90/5.82 % (7340)Memory used [KB]: 8443
% 30.90/5.82 % (7340)Time elapsed: 0.099 s
% 30.90/5.82 % (7340)Instructions burned: 361 (million)
% 30.90/5.82 % (7340)------------------------------
% 30.90/5.82 % (7340)------------------------------
% 30.90/5.83 % (7339)Instruction limit reached!
% 30.90/5.83 % (7339)------------------------------
% 30.90/5.83 % (7339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.83 % (7339)Termination reason: Unknown
% 30.90/5.83 % (7339)Termination phase: Saturation
% 30.90/5.83
% 30.90/5.83 % (7339)Memory used [KB]: 13688
% 30.90/5.83 % (7339)Time elapsed: 0.132 s
% 30.90/5.83 % (7339)Instructions burned: 455 (million)
% 30.90/5.83 % (7339)------------------------------
% 30.90/5.83 % (7339)------------------------------
% 30.90/5.83 % (7342)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_6827 for (2957ds/5061Mi)
% 30.90/5.84 % (7343)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_6827 for (2957ds/2401Mi)
% 30.90/5.85 % (7341)Instruction limit reached!
% 30.90/5.85 % (7341)------------------------------
% 30.90/5.85 % (7341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.85 % (7341)Termination reason: Unknown
% 30.90/5.85 % (7341)Termination phase: Property scanning
% 30.90/5.85
% 30.90/5.85 % (7341)Memory used [KB]: 2686
% 30.90/5.85 % (7341)Time elapsed: 0.042 s
% 30.90/5.85 % (7341)Instructions burned: 157 (million)
% 30.90/5.85 % (7341)------------------------------
% 30.90/5.85 % (7341)------------------------------
% 30.90/5.86 % (7344)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_6827 for (2956ds/5798Mi)
% 30.90/5.88 % (7333)Instruction limit reached!
% 30.90/5.88 % (7333)------------------------------
% 30.90/5.88 % (7333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.90/5.88 % (7333)Termination reason: Unknown
% 30.90/5.88 % (7333)Termination phase: Saturation
% 30.90/5.88
% 30.90/5.88 % (7333)Memory used [KB]: 12025
% 30.90/5.88 % (7333)Time elapsed: 0.367 s
% 30.90/5.88 % (7333)Instructions burned: 1175 (million)
% 30.90/5.88 % (7333)------------------------------
% 30.90/5.88 % (7333)------------------------------
% 30.90/5.89 % (7345)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_6827 for (2956ds/346Mi)
% 31.60/5.91 % (7335)Instruction limit reached!
% 31.60/5.91 % (7335)------------------------------
% 31.60/5.91 % (7335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.60/5.91 % (7335)Termination reason: Unknown
% 31.60/5.91 % (7335)Termination phase: Saturation
% 31.60/5.91
% 31.60/5.91 % (7335)Memory used [KB]: 11001
% 31.60/5.91 % (7335)Time elapsed: 0.336 s
% 31.60/5.91 % (7335)Instructions burned: 1202 (million)
% 31.60/5.91 % (7335)------------------------------
% 31.60/5.91 % (7335)------------------------------
% 31.60/5.92 % (7346)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_6827 for (2956ds/1321Mi)
% 31.60/5.94 % (7336)Instruction limit reached!
% 31.60/5.94 % (7336)------------------------------
% 31.60/5.94 % (7336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.60/5.94 % (7336)Termination reason: Unknown
% 31.60/5.94 % (7336)Termination phase: Saturation
% 31.60/5.94
% 31.60/5.94 % (7336)Memory used [KB]: 9850
% 31.60/5.94 % (7336)Time elapsed: 0.312 s
% 31.60/5.94 % (7336)Instructions burned: 1048 (million)
% 31.60/5.94 % (7336)------------------------------
% 31.60/5.94 % (7336)------------------------------
% 31.60/5.95 % (7347)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_6827 for (2955ds/1312Mi)
% 31.60/5.99 % (7345)Instruction limit reached!
% 31.60/5.99 % (7345)------------------------------
% 31.60/5.99 % (7345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.60/5.99 % (7345)Termination reason: Unknown
% 31.60/5.99 % (7345)Termination phase: Saturation
% 31.60/5.99
% 31.60/5.99 % (7345)Memory used [KB]: 7931
% 31.60/5.99 % (7345)Time elapsed: 0.101 s
% 31.60/5.99 % (7345)Instructions burned: 348 (million)
% 31.60/5.99 % (7345)------------------------------
% 31.60/5.99 % (7345)------------------------------
% 31.60/5.99 % (7346)Refutation not found, incomplete strategy
% 31.60/5.99 % (7346)------------------------------
% 31.60/5.99 % (7346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.60/5.99 % (7346)Termination reason: Refutation not found, incomplete strategy
% 31.60/5.99
% 31.60/5.99
% 31.60/5.99 % (7346)Memory used [KB]: 4221
% 31.60/5.99 % (7346)Time elapsed: 0.073 s
% 31.60/5.99 % (7346)Instructions burned: 244 (million)
% 31.60/5.99 % (7346)------------------------------
% 31.60/5.99 % (7346)------------------------------
% 31.60/6.00 % (7348)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_6827 for (2955ds/672Mi)
% 31.60/6.00 % (7349)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_6827 for (2955ds/1897Mi)
% 35.33/6.22 % (7348)Instruction limit reached!
% 35.33/6.22 % (7348)------------------------------
% 35.33/6.22 % (7348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.33/6.22 % (7348)Termination reason: Unknown
% 35.33/6.22 % (7348)Termination phase: Saturation
% 35.33/6.22
% 35.33/6.22 % (7348)Memory used [KB]: 8827
% 35.33/6.22 % (7348)Time elapsed: 0.217 s
% 35.33/6.22 % (7348)Instructions burned: 673 (million)
% 35.33/6.22 % (7348)------------------------------
% 35.33/6.22 % (7348)------------------------------
% 35.33/6.23 % (7350)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_6827 for (2953ds/1202Mi)
% 35.97/6.34 % (7347)Instruction limit reached!
% 35.97/6.34 % (7347)------------------------------
% 35.97/6.34 % (7347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.97/6.34 % (7347)Termination reason: Unknown
% 35.97/6.34 % (7347)Termination phase: Saturation
% 35.97/6.34
% 35.97/6.34 % (7347)Memory used [KB]: 9210
% 35.97/6.34 % (7347)Time elapsed: 0.387 s
% 35.97/6.34 % (7347)Instructions burned: 1315 (million)
% 35.97/6.34 % (7347)------------------------------
% 35.97/6.34 % (7347)------------------------------
% 35.97/6.35 % (7351)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_6827 for (2952ds/1493Mi)
% 35.97/6.39 % (7351)Refutation not found, incomplete strategy
% 35.97/6.39 % (7351)------------------------------
% 35.97/6.39 % (7351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.97/6.39 % (7351)Termination reason: Refutation not found, incomplete strategy
% 35.97/6.39
% 35.97/6.39
% 35.97/6.39 % (7351)Memory used [KB]: 7419
% 35.97/6.39 % (7351)Time elapsed: 0.041 s
% 35.97/6.39 % (7351)Instructions burned: 150 (million)
% 35.97/6.39 % (7351)------------------------------
% 35.97/6.39 % (7351)------------------------------
% 35.97/6.40 % (7352)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_6827 for (2951ds/7679Mi)
% 37.05/6.58 % (7343)Instruction limit reached!
% 37.05/6.58 % (7343)------------------------------
% 37.05/6.58 % (7343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.05/6.58 % (7343)Termination reason: Unknown
% 37.05/6.58 % (7343)Termination phase: Saturation
% 37.05/6.58
% 37.05/6.58 % (7343)Memory used [KB]: 8571
% 37.05/6.58 % (7343)Time elapsed: 0.745 s
% 37.05/6.58 % (7343)Instructions burned: 2402 (million)
% 37.05/6.58 % (7343)------------------------------
% 37.05/6.58 % (7343)------------------------------
% 37.05/6.58 % (7350)Instruction limit reached!
% 37.05/6.58 % (7350)------------------------------
% 37.05/6.58 % (7350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.05/6.58 % (7350)Termination reason: Unknown
% 37.05/6.58 % (7350)Termination phase: Saturation
% 37.05/6.58
% 37.05/6.58 % (7350)Memory used [KB]: 6012
% 37.05/6.58 % (7350)Time elapsed: 0.358 s
% 37.05/6.58 % (7350)Instructions burned: 1203 (million)
% 37.05/6.58 % (7350)------------------------------
% 37.05/6.58 % (7350)------------------------------
% 37.05/6.59 % (7353)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_6827 for (2949ds/340Mi)
% 37.05/6.59 % (7354)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_6827 for (2949ds/3672Mi)
% 37.91/6.60 % (7349)Instruction limit reached!
% 37.91/6.60 % (7349)------------------------------
% 37.91/6.60 % (7349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.91/6.60 % (7349)Termination reason: Unknown
% 37.91/6.60 % (7349)Termination phase: Saturation
% 37.91/6.60
% 37.91/6.60 % (7349)Memory used [KB]: 10746
% 37.91/6.60 % (7349)Time elapsed: 0.594 s
% 37.91/6.60 % (7349)Instructions burned: 1898 (million)
% 37.91/6.60 % (7349)------------------------------
% 37.91/6.60 % (7349)------------------------------
% 37.91/6.61 % (7355)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_6827 for (2949ds/1535Mi)
% 37.91/6.69 % (7353)Instruction limit reached!
% 37.91/6.69 % (7353)------------------------------
% 37.91/6.69 % (7353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.91/6.69 % (7353)Termination reason: Unknown
% 37.91/6.69 % (7353)Termination phase: Saturation
% 37.91/6.69
% 37.91/6.69 % (7353)Memory used [KB]: 8187
% 37.91/6.69 % (7353)Time elapsed: 0.098 s
% 37.91/6.69 % (7353)Instructions burned: 342 (million)
% 37.91/6.69 % (7353)------------------------------
% 37.91/6.69 % (7353)------------------------------
% 38.35/6.70 % (7356)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_6827 for (2948ds/4637Mi)
% 38.93/6.97 % (7323)Instruction limit reached!
% 38.93/6.97 % (7323)------------------------------
% 38.93/6.97 % (7323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.93/6.97 % (7323)Termination reason: Unknown
% 38.93/6.97 % (7323)Termination phase: Saturation
% 38.93/6.97
% 38.93/6.97 % (7323)Memory used [KB]: 16630
% 38.93/6.97 % (7323)Time elapsed: 1.937 s
% 38.93/6.97 % (7323)Instructions burned: 6454 (million)
% 38.93/6.97 % (7323)------------------------------
% 38.93/6.97 % (7323)------------------------------
% 38.93/6.98 % (7357)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_6827 for (2945ds/3174Mi)
% 41.08/7.04 % (7355)Instruction limit reached!
% 41.08/7.04 % (7355)------------------------------
% 41.08/7.04 % (7355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.08/7.04 % (7355)Termination reason: Unknown
% 41.08/7.04 % (7355)Termination phase: Saturation
% 41.08/7.04
% 41.08/7.04 % (7355)Memory used [KB]: 9978
% 41.08/7.04 % (7355)Time elapsed: 0.431 s
% 41.08/7.04 % (7355)Instructions burned: 1536 (million)
% 41.08/7.04 % (7355)------------------------------
% 41.08/7.04 % (7355)------------------------------
% 41.08/7.05 % (7358)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_6827 for (2944ds/307Mi)
% 41.74/7.13 % (7358)Instruction limit reached!
% 41.74/7.13 % (7358)------------------------------
% 41.74/7.13 % (7358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.74/7.13 % (7358)Termination reason: Unknown
% 41.74/7.13 % (7358)Termination phase: Saturation
% 41.74/7.13
% 41.74/7.13 % (7358)Memory used [KB]: 7675
% 41.74/7.13 % (7358)Time elapsed: 0.083 s
% 41.74/7.13 % (7358)Instructions burned: 308 (million)
% 41.74/7.13 % (7358)------------------------------
% 41.74/7.13 % (7358)------------------------------
% 41.74/7.14 % (7359)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_6827 for (2943ds/3619Mi)
% 41.74/7.19 % (7359)Refutation not found, incomplete strategy
% 41.74/7.19 % (7359)------------------------------
% 41.74/7.19 % (7359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.74/7.19 % (7359)Termination reason: Refutation not found, incomplete strategy
% 41.74/7.19
% 41.74/7.19
% 41.74/7.19 % (7359)Memory used [KB]: 7931
% 41.74/7.19 % (7359)Time elapsed: 0.057 s
% 41.74/7.19 % (7359)Instructions burned: 192 (million)
% 41.74/7.19 % (7359)------------------------------
% 41.74/7.19 % (7359)------------------------------
% 42.33/7.20 % (7360)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_6827 for (2943ds/2325Mi)
% 42.93/7.32 % (7342)Instruction limit reached!
% 42.93/7.32 % (7342)------------------------------
% 42.93/7.32 % (7342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.93/7.32 % (7342)Termination reason: Unknown
% 42.93/7.32 % (7342)Termination phase: Saturation
% 42.93/7.32
% 42.93/7.32 % (7342)Memory used [KB]: 13816
% 42.93/7.32 % (7342)Time elapsed: 1.487 s
% 42.93/7.32 % (7342)Instructions burned: 5061 (million)
% 42.93/7.32 % (7342)------------------------------
% 42.93/7.32 % (7342)------------------------------
% 42.93/7.33 % (7361)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_6827 for (2942ds/2341Mi)
% 43.97/7.50 % (7360)Refutation not found, non-redundant clauses discarded% (7360)------------------------------
% 43.97/7.50 % (7360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.97/7.50 % (7360)Termination reason: Refutation not found, non-redundant clauses discarded
% 43.97/7.50
% 43.97/7.50 % (7360)Memory used [KB]: 9978
% 43.97/7.50 % (7360)Time elapsed: 0.295 s
% 43.97/7.50 % (7360)Instructions burned: 957 (million)
% 43.97/7.50 % (7360)------------------------------
% 43.97/7.50 % (7360)------------------------------
% 43.97/7.51 % (7362)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_6827 for (2940ds/7257Mi)
% 43.97/7.55 % (7362)Refutation not found, incomplete strategy
% 43.97/7.55 % (7362)------------------------------
% 43.97/7.55 % (7362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.97/7.55 % (7362)Termination reason: Refutation not found, incomplete strategy
% 43.97/7.55
% 43.97/7.55
% 43.97/7.55 % (7362)Memory used [KB]: 7803
% 43.97/7.55 % (7362)Time elapsed: 0.045 s
% 43.97/7.55 % (7362)Instructions burned: 151 (million)
% 43.97/7.55 % (7362)------------------------------
% 43.97/7.55 % (7362)------------------------------
% 43.97/7.56 % (7363)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_6827 for (2939ds/3710Mi)
% 43.97/7.58 % (7344)Instruction limit reached!
% 43.97/7.58 % (7344)------------------------------
% 43.97/7.58 % (7344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.97/7.58 % (7344)Termination reason: Unknown
% 43.97/7.58 % (7344)Termination phase: Saturation
% 43.97/7.58
% 43.97/7.58 % (7344)Memory used [KB]: 15863
% 43.97/7.58 % (7344)Time elapsed: 1.716 s
% 43.97/7.58 % (7344)Instructions burned: 5799 (million)
% 43.97/7.58 % (7344)------------------------------
% 43.97/7.58 % (7344)------------------------------
% 43.97/7.59 % (7364)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_6827 for (2939ds/326Mi)
% 44.83/7.68 % (7364)Instruction limit reached!
% 44.83/7.68 % (7364)------------------------------
% 44.83/7.68 % (7364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.83/7.68 % (7364)Termination reason: Unknown
% 44.83/7.68 % (7364)Termination phase: Saturation
% 44.83/7.68
% 44.83/7.68 % (7364)Memory used [KB]: 7931
% 44.83/7.68 % (7364)Time elapsed: 0.100 s
% 44.83/7.68 % (7364)Instructions burned: 328 (million)
% 44.83/7.68 % (7364)------------------------------
% 44.83/7.68 % (7364)------------------------------
% 44.83/7.69 % (7365)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_6827 for (2938ds/1100Mi)
% 45.34/7.75 % (7354)Instruction limit reached!
% 45.34/7.75 % (7354)------------------------------
% 45.34/7.75 % (7354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.34/7.75 % (7354)Termination reason: Unknown
% 45.34/7.75 % (7354)Termination phase: Saturation
% 45.34/7.75
% 45.34/7.75 % (7354)Memory used [KB]: 12153
% 45.34/7.75 % (7354)Time elapsed: 1.176 s
% 45.34/7.75 % (7354)Instructions burned: 3675 (million)
% 45.34/7.75 % (7354)------------------------------
% 45.34/7.75 % (7354)------------------------------
% 45.34/7.76 % (7366)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_6827 for (2937ds/406Mi)
% 45.70/7.88 % (7366)Instruction limit reached!
% 45.70/7.88 % (7366)------------------------------
% 45.70/7.88 % (7366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.70/7.88 % (7366)Termination reason: Unknown
% 45.70/7.88 % (7366)Termination phase: Saturation
% 45.70/7.88
% 45.70/7.88 % (7366)Memory used [KB]: 8827
% 45.70/7.88 % (7366)Time elapsed: 0.124 s
% 45.70/7.88 % (7366)Instructions burned: 406 (million)
% 45.70/7.88 % (7366)------------------------------
% 45.70/7.88 % (7366)------------------------------
% 45.70/7.89 % (7367)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_6827 for (2936ds/1871Mi)
% 46.14/7.95 % (7357)Instruction limit reached!
% 46.14/7.95 % (7357)------------------------------
% 46.14/7.95 % (7357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 46.14/7.95 % (7357)Termination reason: Unknown
% 46.14/7.95 % (7357)Termination phase: Saturation
% 46.14/7.95
% 46.14/7.95 % (7357)Memory used [KB]: 18421
% 46.14/7.95 % (7357)Time elapsed: 0.993 s
% 46.14/7.95 % (7357)Instructions burned: 3174 (million)
% 46.14/7.95 % (7357)------------------------------
% 46.14/7.95 % (7357)------------------------------
% 46.14/7.96 % (7368)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_6827 for (2935ds/1194Mi)
% 48.10/8.04 % (7365)Instruction limit reached!
% 48.10/8.04 % (7365)------------------------------
% 48.10/8.04 % (7365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.10/8.04 % (7365)Termination reason: Unknown
% 48.10/8.04 % (7365)Termination phase: Saturation
% 48.10/8.04
% 48.10/8.04 % (7365)Memory used [KB]: 12153
% 48.10/8.04 % (7365)Time elapsed: 0.343 s
% 48.10/8.04 % (7365)Instructions burned: 1102 (million)
% 48.10/8.04 % (7365)------------------------------
% 48.10/8.04 % (7365)------------------------------
% 48.10/8.05 % (7369)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_6827 for (2934ds/474Mi)
% 48.10/8.08 % (7361)Instruction limit reached!
% 48.10/8.08 % (7361)------------------------------
% 48.10/8.08 % (7361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.10/8.08 % (7361)Termination reason: Unknown
% 48.10/8.08 % (7361)Termination phase: Saturation
% 48.10/8.08
% 48.10/8.08 % (7361)Memory used [KB]: 10362
% 48.10/8.08 % (7361)Time elapsed: 0.749 s
% 48.10/8.08 % (7361)Instructions burned: 2343 (million)
% 48.10/8.08 % (7361)------------------------------
% 48.10/8.08 % (7361)------------------------------
% 48.10/8.09 % (7370)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_6827 for (2934ds/3115Mi)
% 48.10/8.09 % (7356)Instruction limit reached!
% 48.10/8.09 % (7356)------------------------------
% 48.10/8.09 % (7356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.10/8.09 % (7356)Termination reason: Unknown
% 48.10/8.09 % (7356)Termination phase: Saturation
% 48.10/8.09
% 48.10/8.09 % (7356)Memory used [KB]: 17782
% 48.10/8.09 % (7356)Time elapsed: 1.415 s
% 48.10/8.09 % (7356)Instructions burned: 4637 (million)
% 48.10/8.09 % (7356)------------------------------
% 48.10/8.09 % (7356)------------------------------
% 48.10/8.10 % (7371)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_6827 for (2934ds/831Mi)
% 48.70/8.19 % (7369)Instruction limit reached!
% 48.70/8.19 % (7369)------------------------------
% 48.70/8.19 % (7369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.70/8.19 % (7369)Termination reason: Unknown
% 48.70/8.19 % (7369)Termination phase: Saturation
% 48.70/8.19
% 48.70/8.19 % (7369)Memory used [KB]: 9083
% 48.70/8.19 % (7369)Time elapsed: 0.143 s
% 48.70/8.19 % (7369)Instructions burned: 475 (million)
% 48.70/8.19 % (7369)------------------------------
% 48.70/8.19 % (7369)------------------------------
% 49.16/8.20 % (7372)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_6827 for (2933ds/1188Mi)
% 49.56/8.31 % (7368)Instruction limit reached!
% 49.56/8.31 % (7368)------------------------------
% 49.56/8.31 % (7368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.56/8.31 % (7368)Termination reason: Unknown
% 49.56/8.31 % (7368)Termination phase: Saturation
% 49.56/8.31
% 49.56/8.31 % (7368)Memory used [KB]: 10362
% 49.56/8.31 % (7368)Time elapsed: 0.354 s
% 49.56/8.31 % (7368)Instructions burned: 1194 (million)
% 49.56/8.31 % (7368)------------------------------
% 49.56/8.31 % (7368)------------------------------
% 49.56/8.32 % (7373)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_6827 for (2932ds/2868Mi)
% 49.56/8.35 % (7371)Instruction limit reached!
% 49.56/8.35 % (7371)------------------------------
% 49.56/8.35 % (7371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.56/8.35 % (7371)Termination reason: Unknown
% 49.56/8.35 % (7371)Termination phase: Saturation
% 49.56/8.35
% 49.56/8.35 % (7371)Memory used [KB]: 10874
% 49.56/8.35 % (7371)Time elapsed: 0.246 s
% 49.56/8.35 % (7371)Instructions burned: 832 (million)
% 49.56/8.35 % (7371)------------------------------
% 49.56/8.35 % (7371)------------------------------
% 49.56/8.36 % (7374)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_6827 for (2931ds/1516Mi)
% 49.56/8.39 % (7373)Refutation not found, incomplete strategy
% 49.56/8.39 % (7373)------------------------------
% 49.56/8.39 % (7373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.56/8.39 % (7373)Termination reason: Refutation not found, incomplete strategy
% 49.56/8.39
% 49.56/8.39
% 49.56/8.39 % (7373)Memory used [KB]: 7803
% 49.56/8.39 % (7373)Time elapsed: 0.069 s
% 49.56/8.39 % (7373)Instructions burned: 252 (million)
% 49.56/8.39 % (7373)------------------------------
% 49.56/8.39 % (7373)------------------------------
% 50.22/8.40 % (7375)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_6827 for (2931ds/2321Mi)
% 50.22/8.46 % (7367)Instruction limit reached!
% 50.22/8.46 % (7367)------------------------------
% 50.22/8.46 % (7367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.22/8.46 % (7367)Termination reason: Unknown
% 50.22/8.46 % (7367)Termination phase: Saturation
% 50.22/8.46
% 50.22/8.46 % (7367)Memory used [KB]: 14583
% 50.22/8.46 % (7367)Time elapsed: 0.573 s
% 50.22/8.46 % (7367)Instructions burned: 1871 (million)
% 50.22/8.46 % (7367)------------------------------
% 50.22/8.46 % (7367)------------------------------
% 50.22/8.47 % (7375)Refutation not found, incomplete strategy
% 50.22/8.47 % (7375)------------------------------
% 50.22/8.47 % (7375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.22/8.47 % (7375)Termination reason: Refutation not found, incomplete strategy
% 50.22/8.47
% 50.22/8.47
% 50.22/8.47 % (7375)Memory used [KB]: 7803
% 50.22/8.47 % (7375)Time elapsed: 0.068 s
% 50.22/8.47 % (7375)Instructions burned: 257 (million)
% 50.22/8.47 % (7375)------------------------------
% 50.22/8.47 % (7375)------------------------------
% 50.22/8.47 % (7376)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_6827 for (2930ds/2812Mi)
% 50.22/8.48 % (7377)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_6827 for (2930ds/4604Mi)
% 50.57/8.56 % (7372)Instruction limit reached!
% 50.57/8.56 % (7372)------------------------------
% 50.57/8.56 % (7372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.57/8.56 % (7372)Termination reason: Unknown
% 50.57/8.56 % (7372)Termination phase: Saturation
% 50.57/8.56
% 50.57/8.56 % (7372)Memory used [KB]: 11257
% 50.57/8.56 % (7372)Time elapsed: 0.361 s
% 50.57/8.56 % (7372)Instructions burned: 1191 (million)
% 50.57/8.56 % (7372)------------------------------
% 50.57/8.56 % (7372)------------------------------
% 50.57/8.57 % (7378)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_6827 for (2929ds/2678Mi)
% 51.15/8.63 % (7352)Instruction limit reached!
% 51.15/8.63 % (7352)------------------------------
% 51.15/8.63 % (7352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.15/8.63 % (7352)Termination reason: Unknown
% 51.15/8.63 % (7352)Termination phase: Saturation
% 51.15/8.63
% 51.15/8.63 % (7352)Memory used [KB]: 14967
% 51.15/8.63 % (7352)Time elapsed: 2.255 s
% 51.15/8.63 % (7352)Instructions burned: 7680 (million)
% 51.15/8.63 % (7352)------------------------------
% 51.15/8.63 % (7352)------------------------------
% 51.15/8.64 % (7379)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_6827 for (2929ds/643Mi)
% 51.15/8.67 % (7363)Instruction limit reached!
% 51.15/8.67 % (7363)------------------------------
% 51.15/8.67 % (7363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.15/8.67 % (7363)Termination reason: Unknown
% 51.15/8.67 % (7363)Termination phase: Saturation
% 51.15/8.67
% 51.15/8.67 % (7363)Memory used [KB]: 25841
% 51.15/8.67 % (7363)Time elapsed: 1.106 s
% 51.15/8.67 % (7363)Instructions burned: 3713 (million)
% 51.15/8.67 % (7363)------------------------------
% 51.15/8.67 % (7363)------------------------------
% 51.15/8.68 % (7380)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_6827 for (2928ds/458Mi)
% 51.28/8.81 % (7380)Instruction limit reached!
% 51.28/8.81 % (7380)------------------------------
% 51.28/8.81 % (7380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.28/8.81 % (7380)Termination reason: Unknown
% 51.28/8.81 % (7380)Termination phase: Saturation
% 51.28/8.81
% 51.28/8.81 % (7380)Memory used [KB]: 8571
% 51.28/8.81 % (7380)Time elapsed: 0.130 s
% 51.28/8.81 % (7380)Instructions burned: 461 (million)
% 51.28/8.81 % (7380)------------------------------
% 51.28/8.81 % (7380)------------------------------
% 51.28/8.82 % (7379)Instruction limit reached!
% 51.28/8.82 % (7379)------------------------------
% 51.28/8.82 % (7379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.28/8.82 % (7379)Termination reason: Unknown
% 51.28/8.82 % (7379)Termination phase: Saturation
% 51.28/8.82
% 51.28/8.82 % (7379)Memory used [KB]: 9083
% 51.28/8.82 % (7379)Time elapsed: 0.176 s
% 51.28/8.82 % (7379)Instructions burned: 645 (million)
% 51.28/8.82 % (7379)------------------------------
% 51.28/8.82 % (7379)------------------------------
% 51.28/8.82 % (7381)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_6827 for (2927ds/2546Mi)
% 51.28/8.83 % (7382)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_6827 for (2927ds/1432Mi)
% 51.28/8.83 % (7374)Instruction limit reached!
% 51.28/8.83 % (7374)------------------------------
% 51.28/8.83 % (7374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.28/8.83 % (7374)Termination reason: Unknown
% 51.28/8.83 % (7374)Termination phase: Saturation
% 51.28/8.83
% 51.28/8.83 % (7374)Memory used [KB]: 8187
% 51.28/8.83 % (7374)Time elapsed: 0.469 s
% 51.28/8.83 % (7374)Instructions burned: 1518 (million)
% 51.28/8.83 % (7374)------------------------------
% 51.28/8.83 % (7374)------------------------------
% 51.28/8.84 % (7383)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_6827 for (2927ds/386Mi)
% 52.08/8.94 % (7383)Instruction limit reached!
% 52.08/8.94 % (7383)------------------------------
% 52.08/8.94 % (7383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.08/8.94 % (7383)Termination reason: Unknown
% 52.08/8.94 % (7383)Termination phase: Saturation
% 52.08/8.94
% 52.08/8.94 % (7383)Memory used [KB]: 8699
% 52.08/8.94 % (7383)Time elapsed: 0.102 s
% 52.08/8.94 % (7383)Instructions burned: 387 (million)
% 52.08/8.94 % (7383)------------------------------
% 52.08/8.94 % (7383)------------------------------
% 52.08/8.95 % (7384)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_6827 for (2925ds/360Mi)
% 55.13/9.04 % (7384)Instruction limit reached!
% 55.13/9.04 % (7384)------------------------------
% 55.13/9.04 % (7384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.13/9.04 % (7384)Termination reason: Unknown
% 55.13/9.04 % (7384)Termination phase: Saturation
% 55.13/9.04
% 55.13/9.04 % (7384)Memory used [KB]: 7675
% 55.13/9.04 % (7384)Time elapsed: 0.096 s
% 55.13/9.04 % (7384)Instructions burned: 361 (million)
% 55.13/9.04 % (7384)------------------------------
% 55.13/9.04 % (7384)------------------------------
% 55.13/9.05 % (7370)Instruction limit reached!
% 55.13/9.05 % (7370)------------------------------
% 55.13/9.05 % (7370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.13/9.05 % (7370)Termination reason: Unknown
% 55.13/9.05 % (7370)Termination phase: Saturation
% 55.13/9.05
% 55.13/9.05 % (7370)Memory used [KB]: 14839
% 55.13/9.05 % (7370)Time elapsed: 0.965 s
% 55.13/9.05 % (7370)Instructions burned: 3116 (million)
% 55.13/9.05 % (7370)------------------------------
% 55.13/9.05 % (7370)------------------------------
% 55.13/9.05 % (7385)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_6827 for (2924ds/5446Mi)
% 55.13/9.06 % (7386)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_6827 for (2924ds/2573Mi)
% 55.75/9.17 % (7382)Instruction limit reached!
% 55.75/9.17 % (7382)------------------------------
% 55.75/9.17 % (7382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.75/9.17 % (7382)Termination reason: Unknown
% 55.75/9.17 % (7382)Termination phase: Saturation
% 55.75/9.17
% 55.75/9.17 % (7382)Memory used [KB]: 14839
% 55.75/9.17 % (7382)Time elapsed: 0.343 s
% 55.75/9.17 % (7382)Instructions burned: 1435 (million)
% 55.75/9.17 % (7382)------------------------------
% 55.75/9.17 % (7382)------------------------------
% 55.75/9.18 % (7387)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_6827 for (2923ds/2655Mi)
% 56.48/9.33 % (7378)Instruction limit reached!
% 56.48/9.33 % (7378)------------------------------
% 56.48/9.33 % (7378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.48/9.33 % (7378)Termination reason: Unknown
% 56.48/9.33 % (7378)Termination phase: Saturation
% 56.48/9.33
% 56.48/9.33 % (7378)Memory used [KB]: 9850
% 56.48/9.33 % (7378)Time elapsed: 0.761 s
% 56.48/9.33 % (7378)Instructions burned: 2679 (million)
% 56.48/9.33 % (7378)------------------------------
% 56.48/9.33 % (7378)------------------------------
% 56.48/9.34 % (7388)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_6827 for (2922ds/2781Mi)
% 56.48/9.37 % (7376)Instruction limit reached!
% 56.48/9.37 % (7376)------------------------------
% 56.48/9.37 % (7376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.48/9.37 % (7376)Termination reason: Unknown
% 56.48/9.37 % (7376)Termination phase: Saturation
% 56.48/9.37
% 56.48/9.37 % (7376)Memory used [KB]: 14072
% 56.48/9.37 % (7376)Time elapsed: 0.893 s
% 56.48/9.37 % (7376)Instructions burned: 2812 (million)
% 56.48/9.37 % (7376)------------------------------
% 56.48/9.37 % (7376)------------------------------
% 56.48/9.38 % (7389)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_6827 for (2921ds/307Mi)
% 56.81/9.46 % (7389)Instruction limit reached!
% 56.81/9.46 % (7389)------------------------------
% 56.81/9.46 % (7389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.81/9.46 % (7389)Termination reason: Unknown
% 56.81/9.46 % (7389)Termination phase: Saturation
% 56.81/9.46
% 56.81/9.46 % (7389)Memory used [KB]: 7675
% 56.81/9.46 % (7389)Time elapsed: 0.083 s
% 56.81/9.46 % (7389)Instructions burned: 308 (million)
% 56.81/9.46 % (7389)------------------------------
% 56.81/9.46 % (7389)------------------------------
% 56.81/9.47 % (7390)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_6827 for (2920ds/1548Mi)
% 57.31/9.63 % (7381)Instruction limit reached!
% 57.31/9.63 % (7381)------------------------------
% 57.31/9.63 % (7381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.63 % (7381)Termination reason: Unknown
% 57.31/9.63 % (7381)Termination phase: Saturation
% 57.31/9.63
% 57.31/9.63 % (7381)Memory used [KB]: 13688
% 57.31/9.63 % (7381)Time elapsed: 0.816 s
% 57.31/9.63 % (7381)Instructions burned: 2546 (million)
% 57.31/9.63 % (7381)------------------------------
% 57.31/9.63 % (7381)------------------------------
% 57.31/9.65 % (7391)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_6827 for (2919ds/5214Mi)
% 57.46/9.75 % (7377)Instruction limit reached!
% 57.46/9.75 % (7377)------------------------------
% 57.46/9.75 % (7377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.46/9.75 % (7377)Termination reason: Unknown
% 57.46/9.75 % (7377)Termination phase: Saturation
% 57.46/9.75
% 57.46/9.75 % (7377)Memory used [KB]: 13560
% 57.46/9.75 % (7377)Time elapsed: 1.274 s
% 57.46/9.75 % (7377)Instructions burned: 4607 (million)
% 57.46/9.75 % (7377)------------------------------
% 57.46/9.75 % (7377)------------------------------
% 57.46/9.76 % (7392)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_6827 for (2917ds/3201Mi)
% 57.51/9.87 % (7386)Instruction limit reached!
% 57.51/9.87 % (7386)------------------------------
% 57.51/9.87 % (7386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.51/9.87 % (7386)Termination reason: Unknown
% 57.51/9.87 % (7386)Termination phase: Saturation
% 57.51/9.87
% 57.51/9.87 % (7386)Memory used [KB]: 13560
% 57.51/9.87 % (7386)Time elapsed: 0.811 s
% 57.51/9.87 % (7386)Instructions burned: 2573 (million)
% 57.51/9.87 % (7386)------------------------------
% 57.51/9.87 % (7386)------------------------------
% 57.51/9.88 % (7393)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_6827 for (2916ds/454Mi)
% 58.34/9.94 % (7390)Instruction limit reached!
% 58.34/9.94 % (7390)------------------------------
% 58.34/9.94 % (7390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.34/9.94 % (7390)Termination reason: Unknown
% 58.34/9.94 % (7390)Termination phase: Saturation
% 58.34/9.94
% 58.34/9.94 % (7390)Memory used [KB]: 9850
% 58.34/9.94 % (7390)Time elapsed: 0.471 s
% 58.34/9.94 % (7390)Instructions burned: 1550 (million)
% 58.34/9.94 % (7390)------------------------------
% 58.34/9.94 % (7390)------------------------------
% 58.34/9.95 % (7394)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_6827 for (2916ds/3049Mi)
% 58.34/9.99 % (7387)Instruction limit reached!
% 58.34/9.99 % (7387)------------------------------
% 58.34/9.99 % (7387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.34/9.99 % (7387)Termination reason: Unknown
% 58.34/9.99 % (7387)Termination phase: Saturation
% 58.34/9.99
% 58.34/9.99 % (7387)Memory used [KB]: 16119
% 58.34/9.99 % (7387)Time elapsed: 0.810 s
% 58.34/9.99 % (7387)Instructions burned: 2655 (million)
% 58.34/9.99 % (7387)------------------------------
% 58.34/9.99 % (7387)------------------------------
% 58.34/10.00 % (7395)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_6827 for (2915ds/7311Mi)
% 58.34/10.00 % (7388)Instruction limit reached!
% 58.34/10.00 % (7388)------------------------------
% 58.34/10.00 % (7388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.34/10.00 % (7388)Termination reason: Unknown
% 58.34/10.00 % (7388)Termination phase: Property scanning
% 58.34/10.00
% 58.34/10.00 % (7388)Memory used [KB]: 4477
% 58.34/10.00 % (7388)Time elapsed: 0.661 s
% 58.34/10.00 % (7388)Instructions burned: 2783 (million)
% 58.34/10.00 % (7388)------------------------------
% 58.34/10.00 % (7388)------------------------------
% 58.34/10.01 % (7393)Instruction limit reached!
% 58.34/10.01 % (7393)------------------------------
% 58.34/10.01 % (7393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.34/10.01 % (7393)Termination reason: Unknown
% 58.34/10.01 % (7393)Termination phase: Saturation
% 58.34/10.01
% 58.34/10.01 % (7393)Memory used [KB]: 13560
% 58.34/10.01 % (7393)Time elapsed: 0.128 s
% 58.34/10.01 % (7393)Instructions burned: 454 (million)
% 58.34/10.01 % (7393)------------------------------
% 58.34/10.01 % (7393)------------------------------
% 58.34/10.01 % (7396)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_6827 for (2915ds/6804Mi)
% 58.34/10.02 % (7397)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_6827 for (2915ds/1683Mi)
% 62.15/10.07 % (7396)Refutation not found, incomplete strategy
% 62.15/10.07 % (7396)------------------------------
% 62.15/10.07 % (7396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.15/10.07 % (7396)Termination reason: Refutation not found, incomplete strategy
% 62.15/10.07
% 62.15/10.07
% 62.15/10.07 % (7396)Memory used [KB]: 8315
% 62.15/10.07 % (7396)Time elapsed: 0.064 s
% 62.15/10.07 % (7396)Instructions burned: 211 (million)
% 62.15/10.07 % (7396)------------------------------
% 62.15/10.07 % (7396)------------------------------
% 62.15/10.08 % (7398)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_6827 for (2914ds/4688Mi)
% 64.63/10.57 % (7397)Instruction limit reached!
% 64.63/10.57 % (7397)------------------------------
% 64.63/10.57 % (7397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.63/10.57 % (7397)Termination reason: Unknown
% 64.63/10.57 % (7397)Termination phase: Saturation
% 64.63/10.57
% 64.63/10.57 % (7397)Memory used [KB]: 12920
% 64.63/10.57 % (7397)Time elapsed: 0.558 s
% 64.63/10.57 % (7397)Instructions burned: 1685 (million)
% 64.63/10.57 % (7397)------------------------------
% 64.63/10.57 % (7397)------------------------------
% 64.63/10.58 % (7399)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_6827 for (2909ds/2207Mi)
% 65.69/10.68 % (7392)Instruction limit reached!
% 65.69/10.68 % (7392)------------------------------
% 65.69/10.68 % (7392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.69/10.68 % (7392)Termination reason: Unknown
% 65.69/10.68 % (7392)Termination phase: Saturation
% 65.69/10.68
% 65.69/10.68 % (7392)Memory used [KB]: 13688
% 65.69/10.68 % (7392)Time elapsed: 0.924 s
% 65.69/10.68 % (7392)Instructions burned: 3203 (million)
% 65.69/10.68 % (7392)------------------------------
% 65.69/10.68 % (7392)------------------------------
% 65.69/10.69 % (7400)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_6827 for (2908ds/8216Mi)
% 66.19/10.79 % (7385)Instruction limit reached!
% 66.19/10.79 % (7385)------------------------------
% 66.19/10.79 % (7385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.19/10.79 % (7385)Termination reason: Unknown
% 66.19/10.79 % (7385)Termination phase: Saturation
% 66.19/10.79
% 66.19/10.79 % (7385)Memory used [KB]: 17782
% 66.19/10.79 % (7385)Time elapsed: 1.742 s
% 66.19/10.79 % (7385)Instructions burned: 5446 (million)
% 66.19/10.79 % (7385)------------------------------
% 66.19/10.79 % (7385)------------------------------
% 66.60/10.80 % (7401)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_6827 for (2907ds/430Mi)
% 66.90/10.90 % (7394)Instruction limit reached!
% 66.90/10.90 % (7394)------------------------------
% 66.90/10.90 % (7394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.90/10.90 % (7394)Termination reason: Unknown
% 66.90/10.90 % (7394)Termination phase: Saturation
% 66.90/10.90
% 66.90/10.90 % (7394)Memory used [KB]: 11129
% 66.90/10.90 % (7394)Time elapsed: 0.954 s
% 66.90/10.90 % (7394)Instructions burned: 3050 (million)
% 66.90/10.90 % (7394)------------------------------
% 66.90/10.90 % (7394)------------------------------
% 66.90/10.91 % (7402)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_6827 for (2906ds/2012Mi)
% 66.90/10.92 % (7401)Instruction limit reached!
% 66.90/10.92 % (7401)------------------------------
% 66.90/10.92 % (7401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.90/10.92 % (7401)Termination reason: Unknown
% 66.90/10.92 % (7401)Termination phase: Saturation
% 66.90/10.92
% 66.90/10.92 % (7401)Memory used [KB]: 7803
% 66.90/10.92 % (7401)Time elapsed: 0.119 s
% 66.90/10.92 % (7401)Instructions burned: 433 (million)
% 66.90/10.92 % (7401)------------------------------
% 66.90/10.92 % (7401)------------------------------
% 66.90/10.93 % (7403)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_6827 for (2906ds/631Mi)
% 66.90/11.01 % (7403)Refutation not found, incomplete strategy
% 66.90/11.01 % (7403)------------------------------
% 66.90/11.01 % (7403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.90/11.01 % (7403)Termination reason: Refutation not found, incomplete strategy
% 66.90/11.01
% 66.90/11.01
% 66.90/11.01 % (7403)Memory used [KB]: 9338
% 66.90/11.01 % (7403)Time elapsed: 0.102 s
% 66.90/11.01 % (7403)Instructions burned: 258 (million)
% 66.90/11.01 % (7403)------------------------------
% 66.90/11.01 % (7403)------------------------------
% 66.90/11.02 % (7404)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_6827 for (2905ds/8785Mi)
% 70.26/11.23 % (7398)Instruction limit reached!
% 70.26/11.23 % (7398)------------------------------
% 70.26/11.23 % (7398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.26/11.23 % (7398)Termination reason: Unknown
% 70.26/11.23 % (7398)Termination phase: Saturation
% 70.26/11.23
% 70.26/11.23 % (7398)Memory used [KB]: 6268
% 70.26/11.23 % (7398)Time elapsed: 1.152 s
% 70.26/11.23 % (7398)Instructions burned: 4689 (million)
% 70.26/11.23 % (7398)------------------------------
% 70.26/11.23 % (7398)------------------------------
% 70.26/11.24 % (7405)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_6827 for (2903ds/739Mi)
% 70.26/11.25 % (7391)Instruction limit reached!
% 70.26/11.25 % (7391)------------------------------
% 70.26/11.25 % (7391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.26/11.25 % (7391)Termination reason: Unknown
% 70.26/11.25 % (7391)Termination phase: Saturation
% 70.26/11.25
% 70.26/11.25 % (7391)Memory used [KB]: 22003
% 70.26/11.25 % (7391)Time elapsed: 1.611 s
% 70.26/11.25 % (7391)Instructions burned: 5215 (million)
% 70.26/11.25 % (7391)------------------------------
% 70.26/11.25 % (7391)------------------------------
% 70.26/11.27 % (7406)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_6827 for (2902ds/5473Mi)
% 70.76/11.30 % (7399)Instruction limit reached!
% 70.76/11.30 % (7399)------------------------------
% 70.76/11.30 % (7399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.76/11.30 % (7399)Termination reason: Unknown
% 70.76/11.30 % (7399)Termination phase: Saturation
% 70.76/11.30
% 70.76/11.30 % (7399)Memory used [KB]: 13560
% 70.76/11.30 % (7399)Time elapsed: 0.720 s
% 70.76/11.30 % (7399)Instructions burned: 2207 (million)
% 70.76/11.30 % (7399)------------------------------
% 70.76/11.30 % (7399)------------------------------
% 70.76/11.31 % (7407)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_6827 for (2902ds/43570Mi)
% 70.76/11.34 % (7407)Refutation not found, incomplete strategy
% 70.76/11.34 % (7407)------------------------------
% 70.76/11.34 % (7407)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.76/11.34 % (7407)Termination reason: Refutation not found, incomplete strategy
% 70.76/11.34
% 70.76/11.34
% 70.76/11.34 % (7407)Memory used [KB]: 7164
% 70.76/11.34 % (7407)Time elapsed: 0.032 s
% 70.76/11.34 % (7407)Instructions burned: 105 (million)
% 70.76/11.34 % (7407)------------------------------
% 70.76/11.34 % (7407)------------------------------
% 70.76/11.35 % (7408)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_6827 for (2901ds/8382Mi)
% 71.11/11.47 % (7405)Instruction limit reached!
% 71.11/11.47 % (7405)------------------------------
% 71.11/11.47 % (7405)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.11/11.47 % (7405)Termination reason: Unknown
% 71.11/11.47 % (7405)Termination phase: Saturation
% 71.11/11.47
% 71.11/11.47 % (7405)Memory used [KB]: 8827
% 71.11/11.47 % (7405)Time elapsed: 0.226 s
% 71.11/11.47 % (7405)Instructions burned: 740 (million)
% 71.11/11.47 % (7405)------------------------------
% 71.11/11.47 % (7405)------------------------------
% 71.11/11.48 % (7409)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_6827 for (2900ds/407Mi)
% 71.67/11.54 % (7402)Instruction limit reached!
% 71.67/11.54 % (7402)------------------------------
% 71.67/11.54 % (7402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.67/11.54 % (7402)Termination reason: Unknown
% 71.67/11.54 % (7402)Termination phase: Saturation
% 71.67/11.54
% 71.67/11.54 % (7402)Memory used [KB]: 18933
% 71.67/11.54 % (7402)Time elapsed: 0.652 s
% 71.67/11.54 % (7402)Instructions burned: 2015 (million)
% 71.67/11.54 % (7402)------------------------------
% 71.67/11.54 % (7402)------------------------------
% 71.67/11.55 % (7410)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_6827 for (2899ds/2971Mi)
% 71.67/11.60 % (7409)Instruction limit reached!
% 71.67/11.60 % (7409)------------------------------
% 71.67/11.60 % (7409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.67/11.60 % (7409)Termination reason: Unknown
% 71.67/11.60 % (7409)Termination phase: Saturation
% 71.67/11.60
% 71.67/11.60 % (7409)Memory used [KB]: 8827
% 71.67/11.60 % (7409)Time elapsed: 0.119 s
% 71.67/11.60 % (7409)Instructions burned: 410 (million)
% 71.67/11.60 % (7409)------------------------------
% 71.67/11.60 % (7409)------------------------------
% 72.05/11.61 % (7411)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_6827 for (2899ds/9822Mi)
% 72.05/11.62 % (7410)Refutation not found, incomplete strategy
% 72.05/11.62 % (7410)------------------------------
% 72.05/11.62 % (7410)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.05/11.62 % (7410)Termination reason: Refutation not found, incomplete strategy
% 72.05/11.62
% 72.05/11.62
% 72.05/11.62 % (7410)Memory used [KB]: 7803
% 72.05/11.62 % (7410)Time elapsed: 0.067 s
% 72.05/11.62 % (7410)Instructions burned: 250 (million)
% 72.05/11.62 % (7410)------------------------------
% 72.05/11.62 % (7410)------------------------------
% 72.05/11.63 % (7412)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_6827 for (2899ds/8425Mi)
% 72.05/11.67 % (7411)Refutation not found, incomplete strategy
% 72.05/11.67 % (7411)------------------------------
% 72.05/11.67 % (7411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.05/11.67 % (7411)Termination reason: Refutation not found, incomplete strategy
% 72.05/11.67
% 72.05/11.67
% 72.05/11.67 % (7411)Memory used [KB]: 8571
% 72.05/11.67 % (7411)Time elapsed: 0.065 s
% 72.05/11.67 % (7411)Instructions burned: 218 (million)
% 72.05/11.67 % (7411)------------------------------
% 72.05/11.67 % (7411)------------------------------
% 72.05/11.68 % (7413)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_6827 for (2898ds/3107Mi)
% 72.40/11.76 % (7413)Refutation not found, incomplete strategy
% 72.40/11.76 % (7413)------------------------------
% 72.40/11.76 % (7413)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.40/11.76 % (7413)Termination reason: Refutation not found, incomplete strategy
% 72.40/11.76
% 72.40/11.76
% 72.40/11.76 % (7413)Memory used [KB]: 9210
% 72.40/11.76 % (7413)Time elapsed: 0.077 s
% 72.40/11.76 % (7413)Instructions burned: 253 (million)
% 72.40/11.76 % (7413)------------------------------
% 72.40/11.76 % (7413)------------------------------
% 72.40/11.77 % (7414)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_6827 for (2897ds/7967Mi)
% 72.69/11.84 % (7414)Refutation not found, incomplete strategy
% 72.69/11.84 % (7414)------------------------------
% 72.69/11.84 % (7414)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.69/11.84 % (7414)Termination reason: Refutation not found, incomplete strategy
% 72.69/11.84
% 72.69/11.84
% 72.69/11.84 % (7414)Memory used [KB]: 7803
% 72.69/11.84 % (7414)Time elapsed: 0.071 s
% 72.69/11.84 % (7414)Instructions burned: 252 (million)
% 72.69/11.84 % (7414)------------------------------
% 72.69/11.84 % (7414)------------------------------
% 72.69/11.85 % (7415)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_6827 for (2897ds/3629Mi)
% 76.94/12.16 % (7395)Refutation not found, non-redundant clauses discarded% (7395)------------------------------
% 76.94/12.16 % (7395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.94/12.16 % (7395)Termination reason: Refutation not found, non-redundant clauses discarded
% 76.94/12.16
% 76.94/12.16 % (7395)Memory used [KB]: 18166
% 76.94/12.16 % (7395)Time elapsed: 2.161 s
% 76.94/12.16 % (7395)Instructions burned: 7144 (million)
% 76.94/12.16 % (7395)------------------------------
% 76.94/12.16 % (7395)------------------------------
% 76.94/12.17 % (7416)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_6827 for (2893ds/939Mi)
% 78.02/12.39 % (7416)Instruction limit reached!
% 78.02/12.39 % (7416)------------------------------
% 78.02/12.39 % (7416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.02/12.39 % (7416)Termination reason: Unknown
% 78.02/12.39 % (7416)Termination phase: Property scanning
% 78.02/12.39
% 78.02/12.39 % (7416)Memory used [KB]: 4093
% 78.02/12.39 % (7416)Time elapsed: 0.226 s
% 78.02/12.39 % (7416)Instructions burned: 942 (million)
% 78.02/12.39 % (7416)------------------------------
% 78.02/12.39 % (7416)------------------------------
% 78.85/12.40 % (7417)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_6827 for (2891ds/1188Mi)
% 80.65/12.76 % (7417)Instruction limit reached!
% 80.65/12.76 % (7417)------------------------------
% 80.65/12.76 % (7417)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 80.65/12.76 % (7417)Termination reason: Unknown
% 80.65/12.76 % (7417)Termination phase: Saturation
% 80.65/12.76
% 80.65/12.76 % (7417)Memory used [KB]: 11385
% 80.65/12.76 % (7417)Time elapsed: 0.357 s
% 80.65/12.76 % (7417)Instructions burned: 1190 (million)
% 80.65/12.76 % (7417)------------------------------
% 80.65/12.76 % (7417)------------------------------
% 80.65/12.77 % (7418)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_6827 for (2887ds/3205Mi)
% 81.62/12.83 % (7415)Instruction limit reached!
% 81.62/12.83 % (7415)------------------------------
% 81.62/12.83 % (7415)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 81.62/12.83 % (7415)Termination reason: Unknown
% 81.62/12.83 % (7415)Termination phase: Saturation
% 81.62/12.83
% 81.62/12.83 % (7415)Memory used [KB]: 8571
% 81.62/12.83 % (7415)Time elapsed: 0.986 s
% 81.62/12.83 % (7415)Instructions burned: 3629 (million)
% 81.62/12.83 % (7415)------------------------------
% 81.62/12.83 % (7415)------------------------------
% 81.62/12.84 % (7419)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_6827 for (2887ds/865Mi)
% 82.18/12.96 % (7406)Instruction limit reached!
% 82.18/12.96 % (7406)------------------------------
% 82.18/12.96 % (7406)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 82.18/12.96 % (7406)Termination reason: Unknown
% 82.18/12.96 % (7406)Termination phase: Saturation
% 82.18/12.96
% 82.18/12.96 % (7406)Memory used [KB]: 9850
% 82.18/12.96 % (7406)Time elapsed: 1.693 s
% 82.18/12.96 % (7406)Instructions burned: 5473 (million)
% 82.18/12.96 % (7406)------------------------------
% 82.18/12.96 % (7406)------------------------------
% 82.18/12.97 % (7420)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_6827 for (2885ds/7469Mi)
% 83.23/13.10 % (7419)Instruction limit reached!
% 83.23/13.10 % (7419)------------------------------
% 83.23/13.10 % (7419)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.23/13.10 % (7419)Termination reason: Unknown
% 83.23/13.10 % (7419)Termination phase: Saturation
% 83.23/13.10
% 83.23/13.10 % (7419)Memory used [KB]: 10362
% 83.23/13.10 % (7419)Time elapsed: 0.263 s
% 83.23/13.10 % (7419)Instructions burned: 866 (million)
% 83.23/13.10 % (7419)------------------------------
% 83.23/13.10 % (7419)------------------------------
% 83.23/13.11 % (7421)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_6827 for (2884ds/4165Mi)
% 83.94/13.13 % (7400)Instruction limit reached!
% 83.94/13.13 % (7400)------------------------------
% 83.94/13.13 % (7400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.94/13.13 % (7400)Termination reason: Unknown
% 83.94/13.13 % (7400)Termination phase: Saturation
% 83.94/13.13
% 83.94/13.13 % (7400)Memory used [KB]: 19957
% 83.94/13.13 % (7400)Time elapsed: 2.442 s
% 83.94/13.13 % (7400)Instructions burned: 8218 (million)
% 83.94/13.13 % (7400)------------------------------
% 83.94/13.13 % (7400)------------------------------
% 83.94/13.15 % (7422)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_6827 for (2883ds/13468Mi)
% 86.35/13.62 % (7408)Instruction limit reached!
% 86.35/13.62 % (7408)------------------------------
% 86.35/13.62 % (7408)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.35/13.62 % (7408)Termination reason: Unknown
% 86.35/13.62 % (7408)Termination phase: Saturation
% 86.35/13.62
% 86.35/13.62 % (7408)Memory used [KB]: 21620
% 86.35/13.62 % (7408)Time elapsed: 2.263 s
% 86.35/13.62 % (7408)Instructions burned: 8385 (million)
% 86.35/13.62 % (7408)------------------------------
% 86.35/13.62 % (7408)------------------------------
% 86.35/13.63 % (7423)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_6827 for (2879ds/2635Mi)
% 86.35/13.69 % (7404)Instruction limit reached!
% 86.35/13.69 % (7404)------------------------------
% 86.35/13.69 % (7404)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.35/13.69 % (7404)Termination reason: Unknown
% 86.35/13.69 % (7404)Termination phase: Saturation
% 86.35/13.69
% 86.35/13.69 % (7404)Memory used [KB]: 19445
% 86.35/13.69 % (7404)Time elapsed: 2.667 s
% 86.35/13.69 % (7404)Instructions burned: 8785 (million)
% 86.35/13.69 % (7404)------------------------------
% 86.35/13.69 % (7404)------------------------------
% 86.77/13.70 % (7424)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_6827 for (2878ds/631Mi)
% 86.77/13.70 % (7418)Instruction limit reached!
% 86.77/13.70 % (7418)------------------------------
% 86.77/13.70 % (7418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 86.77/13.70 % (7418)Termination reason: Unknown
% 86.77/13.70 % (7418)Termination phase: Saturation
% 86.77/13.70
% 86.77/13.70 % (7418)Memory used [KB]: 13432
% 86.77/13.70 % (7418)Time elapsed: 0.935 s
% 86.77/13.70 % (7418)Instructions burned: 3206 (million)
% 86.77/13.70 % (7418)------------------------------
% 86.77/13.70 % (7418)------------------------------
% 86.77/13.71 % (7425)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_6827 for (2878ds/15557Mi)
% 87.00/13.87 % (7424)Instruction limit reached!
% 87.00/13.87 % (7424)------------------------------
% 87.00/13.87 % (7424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.00/13.87 % (7424)Termination reason: Unknown
% 87.00/13.87 % (7424)Termination phase: Saturation
% 87.00/13.87
% 87.00/13.87 % (7424)Memory used [KB]: 9338
% 87.00/13.87 % (7424)Time elapsed: 0.170 s
% 87.00/13.87 % (7424)Instructions burned: 634 (million)
% 87.00/13.87 % (7424)------------------------------
% 87.00/13.87 % (7424)------------------------------
% 87.00/13.88 % (7426)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_6827 for (2876ds/2142Mi)
% 90.25/14.10 % (7412)Instruction limit reached!
% 90.25/14.10 % (7412)------------------------------
% 90.25/14.10 % (7412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.25/14.10 % (7412)Termination reason: Unknown
% 90.25/14.10 % (7412)Termination phase: Saturation
% 90.25/14.10
% 90.25/14.10 % (7412)Memory used [KB]: 22643
% 90.25/14.10 % (7412)Time elapsed: 2.474 s
% 90.25/14.10 % (7412)Instructions burned: 8425 (million)
% 90.25/14.10 % (7412)------------------------------
% 90.25/14.10 % (7412)------------------------------
% 90.25/14.11 % (7427)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_6827 for (2874ds/5624Mi)
% 92.61/14.44 % (7423)Instruction limit reached!
% 92.61/14.44 % (7423)------------------------------
% 92.61/14.44 % (7423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.61/14.44 % (7423)Termination reason: Unknown
% 92.61/14.44 % (7423)Termination phase: Saturation
% 92.61/14.44
% 92.61/14.44 % (7423)Memory used [KB]: 14711
% 92.61/14.44 % (7423)Time elapsed: 0.816 s
% 92.61/14.44 % (7423)Instructions burned: 2637 (million)
% 92.61/14.44 % (7423)------------------------------
% 92.61/14.44 % (7423)------------------------------
% 92.61/14.45 % (7510)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_6827 for (2871ds/1665Mi)
% 92.61/14.45 % (7421)Instruction limit reached!
% 92.61/14.45 % (7421)------------------------------
% 92.61/14.45 % (7421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.61/14.45 % (7421)Termination reason: Unknown
% 92.61/14.45 % (7421)Termination phase: Saturation
% 92.61/14.45
% 92.61/14.45 % (7421)Memory used [KB]: 29295
% 92.61/14.45 % (7421)Time elapsed: 1.342 s
% 92.61/14.45 % (7421)Instructions burned: 4165 (million)
% 92.61/14.45 % (7421)------------------------------
% 92.61/14.45 % (7421)------------------------------
% 92.61/14.47 % (7522)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_6827 for (2870ds/64912Mi)
% 93.14/14.50 % (7522)Refutation not found, incomplete strategy
% 93.14/14.50 % (7522)------------------------------
% 93.14/14.50 % (7522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.14/14.50 % (7522)Termination reason: Refutation not found, incomplete strategy
% 93.14/14.50
% 93.14/14.50
% 93.14/14.50 % (7522)Memory used [KB]: 2814
% 93.14/14.50 % (7522)Time elapsed: 0.039 s
% 93.14/14.50 % (7522)Instructions burned: 118 (million)
% 93.14/14.50 % (7522)------------------------------
% 93.14/14.50 % (7522)------------------------------
% 93.14/14.51 % (7536)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_6827 for (2870ds/7801Mi)
% 93.14/14.56 % (7426)Instruction limit reached!
% 93.14/14.56 % (7426)------------------------------
% 93.14/14.56 % (7426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.14/14.56 % (7426)Termination reason: Unknown
% 93.14/14.56 % (7426)Termination phase: Saturation
% 93.14/14.56
% 93.14/14.56 % (7426)Memory used [KB]: 10362
% 93.14/14.56 % (7426)Time elapsed: 0.688 s
% 93.14/14.56 % (7426)Instructions burned: 2142 (million)
% 93.14/14.56 % (7426)------------------------------
% 93.14/14.56 % (7426)------------------------------
% 93.14/14.57 % (7558)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_6827 for (2869ds/15194Mi)
% 94.48/14.93 % (7510)Instruction limit reached!
% 94.48/14.93 % (7510)------------------------------
% 94.48/14.93 % (7510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.48/14.93 % (7510)Termination reason: Unknown
% 94.48/14.93 % (7510)Termination phase: Saturation
% 94.48/14.93
% 94.48/14.93 % (7510)Memory used [KB]: 8955
% 94.48/14.93 % (7510)Time elapsed: 0.477 s
% 94.48/14.93 % (7510)Instructions burned: 1668 (million)
% 94.48/14.93 % (7510)------------------------------
% 94.48/14.93 % (7510)------------------------------
% 94.48/14.94 % (7683)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_6827 for (2865ds/6753Mi)
% 94.48/15.01 % (7683)Refutation not found, incomplete strategy
% 94.48/15.01 % (7683)------------------------------
% 94.48/15.01 % (7683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.48/15.01 % (7683)Termination reason: Refutation not found, incomplete strategy
% 94.48/15.01
% 94.48/15.01
% 94.48/15.01 % (7683)Memory used [KB]: 8571
% 94.48/15.01 % (7683)Time elapsed: 0.077 s
% 94.48/15.01 % (7683)Instructions burned: 249 (million)
% 94.48/15.01 % (7683)------------------------------
% 94.48/15.01 % (7683)------------------------------
% 94.48/15.03 % (7722)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_6827 for (2865ds/1003Mi)
% 97.95/15.13 % (7420)Instruction limit reached!
% 97.95/15.13 % (7420)------------------------------
% 97.95/15.13 % (7420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.95/15.13 % (7420)Termination reason: Unknown
% 97.95/15.13 % (7420)Termination phase: Saturation
% 97.95/15.13
% 97.95/15.13 % (7420)Memory used [KB]: 9594
% 97.95/15.13 % (7420)Time elapsed: 2.167 s
% 97.95/15.13 % (7420)Instructions burned: 7469 (million)
% 97.95/15.13 % (7420)------------------------------
% 97.95/15.13 % (7420)------------------------------
% 97.95/15.14 % (7799)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_6827 for (2864ds/13018Mi)
% 98.78/15.32 % (7722)Instruction limit reached!
% 98.78/15.32 % (7722)------------------------------
% 98.78/15.32 % (7722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.78/15.32 % (7722)Termination reason: Unknown
% 98.78/15.32 % (7722)Termination phase: Saturation
% 98.78/15.32
% 98.78/15.32 % (7722)Memory used [KB]: 9083
% 98.78/15.32 % (7722)Time elapsed: 0.295 s
% 98.78/15.32 % (7722)Instructions burned: 1004 (million)
% 98.78/15.32 % (7722)------------------------------
% 98.78/15.32 % (7722)------------------------------
% 98.78/15.33 % (7857)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_6827 for (2862ds/1267Mi)
% 101.09/15.72 % (7857)Instruction limit reached!
% 101.09/15.72 % (7857)------------------------------
% 101.09/15.72 % (7857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 101.09/15.72 % (7857)Termination reason: Unknown
% 101.09/15.72 % (7857)Termination phase: Saturation
% 101.09/15.72
% 101.09/15.72 % (7857)Memory used [KB]: 7803
% 101.09/15.72 % (7857)Time elapsed: 0.391 s
% 101.09/15.72 % (7857)Instructions burned: 1268 (million)
% 101.09/15.72 % (7857)------------------------------
% 101.09/15.72 % (7857)------------------------------
% 101.09/15.73 % (8015)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_6827 for (2858ds/2570Mi)
% 101.09/15.77 % (7427)Instruction limit reached!
% 101.09/15.77 % (7427)------------------------------
% 101.09/15.77 % (7427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 101.09/15.77 % (7427)Termination reason: Unknown
% 101.09/15.77 % (7427)Termination phase: Saturation
% 101.09/15.77
% 101.09/15.77 % (7427)Memory used [KB]: 17782
% 101.09/15.77 % (7427)Time elapsed: 1.681 s
% 101.09/15.77 % (7427)Instructions burned: 5624 (million)
% 101.09/15.77 % (7427)------------------------------
% 101.09/15.77 % (7427)------------------------------
% 101.09/15.78 % (8034)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_6827 for (2857ds/13163Mi)
% 106.93/16.47 % (8015)Instruction limit reached!
% 106.93/16.47 % (8015)------------------------------
% 106.93/16.47 % (8015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.93/16.47 % (8015)Termination reason: Unknown
% 106.93/16.47 % (8015)Termination phase: Saturation
% 106.93/16.47
% 106.93/16.47 % (8015)Memory used [KB]: 12025
% 106.93/16.47 % (8015)Time elapsed: 0.745 s
% 106.93/16.47 % (8015)Instructions burned: 2570 (million)
% 106.93/16.47 % (8015)------------------------------
% 106.93/16.47 % (8015)------------------------------
% 106.93/16.48 % (8035)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_6827 for (2850ds/5087Mi)
% 110.03/16.93 % (7536)Instruction limit reached!
% 110.03/16.93 % (7536)------------------------------
% 110.03/16.93 % (7536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 110.03/16.93 % (7536)Termination reason: Unknown
% 110.03/16.93 % (7536)Termination phase: Saturation
% 110.03/16.93
% 110.03/16.93 % (7536)Memory used [KB]: 20596
% 110.03/16.93 % (7536)Time elapsed: 2.418 s
% 110.03/16.93 % (7536)Instructions burned: 7802 (million)
% 110.03/16.93 % (7536)------------------------------
% 110.03/16.93 % (7536)------------------------------
% 110.03/16.94 % (8036)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_6827 for (2846ds/10380Mi)
% 111.32/17.08 % (7422)Instruction limit reached!
% 111.32/17.08 % (7422)------------------------------
% 111.32/17.08 % (7422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.32/17.08 % (7422)Termination reason: Unknown
% 111.32/17.08 % (7422)Termination phase: Saturation
% 111.32/17.08
% 111.32/17.08 % (7422)Memory used [KB]: 27632
% 111.32/17.08 % (7422)Time elapsed: 3.932 s
% 111.32/17.08 % (7422)Instructions burned: 13468 (million)
% 111.32/17.08 % (7422)------------------------------
% 111.32/17.08 % (7422)------------------------------
% 111.32/17.09 % (8037)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on DTF2THF_6827 for (2844ds/4218Mi)
% 111.32/17.11 % (8036)First to succeed.
% 111.32/17.12 % (8036)Refutation found. Thanks to Tanya!
% 111.32/17.12 % SZS status Theorem for DTF2THF_6827
% 111.32/17.12 % SZS output start Proof for DTF2THF_6827
% 111.32/17.12 thf(type_def_5, type, pi: $tType).
% 111.32/17.12 thf(type_def_7, type, name: $tType).
% 111.32/17.12 thf(type_def_8, type, late_freeRes: $tType).
% 111.32/17.12 thf(type_def_9, type, late_subject: $tType).
% 111.32/17.12 thf(type_def_10, type, late_residual: $tType).
% 111.32/17.12 thf(type_def_11, type, noption: ($tType) > $tType).
% 111.32/17.12 thf(type_def_12, type, product_prod: ($tType * $tType) > $tType).
% 111.32/17.12 thf(type_def_13, type, set: ($tType) > $tType).
% 111.32/17.12 thf(func_def_0, type, late_residual: $tType).
% 111.32/17.12 thf(func_def_1, type, late_subject: $tType).
% 111.32/17.12 thf(func_def_2, type, late_freeRes: $tType).
% 111.32/17.12 thf(func_def_3, type, product_prod: ($tType * $tType) > $tType).
% 111.32/17.12 thf(func_def_4, type, noption: ($tType) > $tType).
% 111.32/17.12 thf(func_def_5, type, name: $tType).
% 111.32/17.12 thf(func_def_6, type, pi: $tType).
% 111.32/17.12 thf(func_def_7, type, set: ($tType) > $tType).
% 111.32/17.12 thf(func_def_8, type, fs_name: !>[X0: $tType]:($o)).
% 111.32/17.12 thf(func_def_9, type, bang: pi > pi).
% 111.32/17.12 thf(func_def_10, type, input: name > name > pi > pi).
% 111.32/17.12 thf(func_def_11, type, match: name > name > pi > pi).
% 111.32/17.12 thf(func_def_12, type, mismatch: name > name > pi > pi).
% 111.32/17.12 thf(func_def_13, type, output: name > name > pi > pi).
% 111.32/17.12 thf(func_def_14, type, par: pi > pi > pi).
% 111.32/17.12 thf(func_def_15, type, piNil: pi).
% 111.32/17.12 thf(func_def_16, type, res: name > pi > pi).
% 111.32/17.12 thf(func_def_17, type, sum: pi > pi > pi).
% 111.32/17.12 thf(func_def_18, type, tau: pi > pi).
% 111.32/17.12 thf(func_def_19, type, subs: pi > name > name > pi).
% 111.32/17.12 thf(func_def_20, type, subst_name: name > name > name > name).
% 111.32/17.12 thf(func_def_21, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 111.32/17.12 thf(func_def_22, type, late_OutputR: name > name > late_freeRes).
% 111.32/17.12 thf(func_def_23, type, late_TauR: late_freeRes).
% 111.32/17.12 thf(func_def_24, type, late_freeRes_rec: !>[X0: $tType]:((name > name > X0) > X0 > late_freeRes > X0)).
% 111.32/17.12 thf(func_def_25, type, late_BoundR: late_subject > name > pi > late_residual).
% 111.32/17.12 thf(func_def_26, type, late_FreeR: late_freeRes > pi > late_residual).
% 111.32/17.12 thf(func_def_27, type, late_BoundOutputS: name > late_subject).
% 111.32/17.12 thf(func_def_28, type, late_InputS: name > late_subject).
% 111.32/17.12 thf(func_def_29, type, late_subject_rec: !>[X0: $tType]:((name > X0) > (name > X0) > late_subject > X0)).
% 111.32/17.12 thf(func_def_30, type, late_transitions: pi > late_residual > $o).
% 111.32/17.12 thf(func_def_31, type, abs_fun: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0 > noption @ X1)).
% 111.32/17.12 thf(func_def_32, type, fresh: !>[X0: $tType, X1: $tType]:(X0 > X1 > $o)).
% 111.32/17.12 thf(func_def_33, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 111.32/17.12 thf(func_def_34, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 111.32/17.12 thf(func_def_35, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 111.32/17.12 thf(func_def_36, type, eqvt: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > $o)).
% 111.32/17.12 thf(func_def_37, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 111.32/17.12 thf(func_def_38, type, strong2129052853vative: pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o).
% 111.32/17.12 thf(func_def_39, type, strong743114133lation: pi > set @ product_prod @ pi @ pi > pi > $o).
% 111.32/17.12 thf(func_def_40, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 111.32/17.12 thf(func_def_41, type, p: pi).
% 111.32/17.12 thf(func_def_42, type, p2: pi).
% 111.32/17.12 thf(func_def_43, type, pxQ: pi).
% 111.32/17.12 thf(func_def_44, type, q: pi).
% 111.32/17.12 thf(func_def_45, type, rel: set @ product_prod @ pi @ pi).
% 111.32/17.12 thf(func_def_46, type, aa: late_subject).
% 111.32/17.12 thf(func_def_47, type, u: name).
% 111.32/17.12 thf(func_def_48, type, x: name).
% 111.32/17.12 thf(func_def_49, type, y: name).
% 111.32/17.12 thf(func_def_72, type, ph1: !>[X0: $tType]:(X0)).
% 111.32/17.12 thf(func_def_73, type, sK2: !>[X0: $tType, X1: $tType]:(product_prod @ X1 @ X0 > X0)).
% 111.32/17.12 thf(func_def_74, type, sK3: !>[X0: $tType, X1: $tType]:(product_prod @ X1 @ X0 > X1)).
% 111.32/17.12 thf(func_def_75, type, sK4: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 111.32/17.12 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 111.32/17.12 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X2 @ X1 > X1)).
% 111.32/17.12 thf(func_def_78, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X1 @ product_prod @ X2 @ X0 > X2)).
% 111.32/17.12 thf(func_def_79, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X1 @ product_prod @ X2 @ X0 > X1)).
% 111.32/17.12 thf(f1636,plain,(
% 111.32/17.12 $false),
% 111.32/17.12 inference(trivial_inequality_removal,[status(thm)],[f1635])).
% 111.32/17.12 thf(f1635,plain,(
% 111.32/17.12 ($true = $false)),
% 111.32/17.12 inference(forward_demodulation,[status(thm)],[f1634,f927])).
% 111.32/17.12 thf(f927,plain,(
% 111.32/17.12 ($false = (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (res @ x @ (subs @ q @ y @ u)))) @ rel))),
% 111.32/17.12 inference(superposition,[status(thm)],[f916,f876])).
% 111.32/17.12 thf(f876,plain,(
% 111.32/17.12 ((subs @ (res @ x @ q) @ y @ u) = (res @ x @ (subs @ q @ y @ u)))),
% 111.32/17.12 inference(cnf_transformation,[status(thm)],[f711])).
% 111.32/17.12 thf(f711,plain,(
% 111.32/17.12 ((subs @ (res @ x @ q) @ y @ u) = (res @ x @ (subs @ q @ y @ u)))),
% 111.32/17.12 inference(fool_elimination,[status(thm)],[f2])).
% 111.32/17.12 thf(f2,axiom,(
% 111.32/17.12 ((subs @ (res @ x @ q) @ y @ u) = (res @ x @ (subs @ q @ y @ u)))),
% 111.32/17.12 file('/export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2THF_6827.p',fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062)).
% 111.32/17.12 thf(f916,plain,(
% 111.32/17.12 ((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel) = $false)),
% 111.32/17.12 inference(not_proxy_clausification,[status(thm)],[f858])).
% 111.32/17.12 thf(f858,plain,(
% 111.32/17.12 ($true = (~ (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel)))),
% 111.32/17.12 inference(cnf_transformation,[status(thm)],[f670])).
% 111.32/17.12 thf(f670,plain,(
% 111.32/17.12 ($true = (~ (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel)))),
% 111.32/17.12 inference(fool_elimination,[status(thm)],[f669])).
% 111.32/17.12 thf(f669,plain,(
% 111.32/17.12 ~(member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel)),
% 111.32/17.12 inference(rectify,[status(thm)],[f268])).
% 111.32/17.12 thf(f268,negated_conjecture,(
% 111.32/17.12 ~(member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel)),
% 111.32/17.12 inference(negated_conjecture,[status(cth)],[f267])).
% 111.32/17.12 thf(f267,conjecture,(
% 111.32/17.12 (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (subs @ (res @ x @ q) @ y @ u))) @ rel)),
% 111.32/17.12 file('/export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2THF_6827.p',conj_0)).
% 111.32/17.12 thf(f1634,plain,(
% 111.32/17.12 ($true = (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (res @ x @ (subs @ q @ y @ u)))) @ rel))),
% 111.32/17.12 inference(trivial_inequality_removal,[status(thm)],[f1633])).
% 111.32/17.12 thf(f1633,plain,(
% 111.32/17.12 ($true = $false) | ($true = (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (res @ x @ (subs @ q @ y @ u)))) @ rel))),
% 111.32/17.12 inference(forward_demodulation,[status(thm)],[f1630,f891])).
% 111.32/17.12 thf(f891,plain,(
% 111.32/17.12 ((fresh @ name @ pi @ x @ (subs @ p2 @ y @ u)) = $true)),
% 111.32/17.12 inference(cnf_transformation,[status(thm)],[f491])).
% 111.32/17.12 thf(f491,plain,(
% 111.32/17.12 ((fresh @ name @ pi @ x @ (subs @ p2 @ y @ u)) = $true)),
% 111.32/17.12 inference(fool_elimination,[status(thm)],[f490])).
% 111.32/17.12 thf(f490,plain,(
% 111.32/17.12 (fresh @ name @ pi @ x @ (subs @ p2 @ y @ u))),
% 111.32/17.12 inference(rectify,[status(thm)],[f4])).
% 111.32/17.12 thf(f4,axiom,(
% 111.32/17.12 (fresh @ name @ pi @ x @ (subs @ p2 @ y @ u))),
% 111.32/17.12 file('/export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2THF_6827.p',fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062)).
% 111.32/17.12 thf(f1630,plain,(
% 111.32/17.12 ((fresh @ name @ pi @ x @ (subs @ p2 @ y @ u)) = $false) | ($true = (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) @ (par @ (subs @ p2 @ y @ u) @ (res @ x @ (subs @ q @ y @ u)))) @ rel))),
% 111.32/17.12 inference(superposition,[status(thm)],[f1615,f860])).
% 111.32/17.12 thf(f860,plain,(
% 111.32/17.12 ((subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) = (res @ x @ (par @ (subs @ p2 @ y @ u) @ (subs @ q @ y @ u))))),
% 111.32/17.12 inference(cnf_transformation,[status(thm)],[f338])).
% 111.32/17.12 thf(f338,plain,(
% 111.32/17.12 ((subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) = (res @ x @ (par @ (subs @ p2 @ y @ u) @ (subs @ q @ y @ u))))),
% 111.32/17.12 inference(fool_elimination,[status(thm)],[f6])).
% 111.32/17.12 thf(f6,axiom,(
% 111.32/17.12 ((subs @ (res @ x @ (par @ p2 @ q)) @ y @ u) = (res @ x @ (par @ (subs @ p2 @ y @ u) @ (subs @ q @ y @ u))))),
% 111.32/17.12 file('/export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2THF_6827.p',fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062)).
% 111.32/17.12 thf(f1615,plain,(
% 111.32/17.12 ( ! [X2 : pi,X3 : name,X1 : pi] : (($true = (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ X3 @ (par @ X2 @ X1)) @ (par @ X2 @ (res @ X3 @ X1))) @ rel)) | ((fresh @ name @ pi @ X3 @ X2) = $false)) )),
% 111.32/17.12 inference(binary_proxy_clausification,[status(thm)],[f1614])).
% 111.32/17.12 thf(f1614,plain,(
% 111.32/17.12 ( ! [X2 : pi,X3 : name,X1 : pi] : ((((fresh @ name @ pi @ X3 @ X2) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ X3 @ (par @ X2 @ X1)) @ (par @ X2 @ (res @ X3 @ X1))) @ rel)) = $true)) )),
% 111.32/17.12 inference(beta_eta_normalization,[status(thm)],[f1613])).
% 111.32/17.12 thf(f1613,plain,(
% 111.32/17.12 ( ! [X2 : pi,X3 : name,X1 : pi] : ((((^[Y0 : name]: ((fresh @ name @ pi @ Y0 @ X2) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y0 @ (par @ X2 @ X1)) @ (par @ X2 @ (res @ Y0 @ X1))) @ rel))) @ X3) = $true)) )),
% 111.32/17.12 inference(pi_clausification,[status(thm)],[f1601])).
% 111.32/17.12 thf(f1601,plain,(
% 111.32/17.12 ( ! [X2 : pi,X1 : pi] : (((!! @ name @ (^[Y0 : name]: ((fresh @ name @ pi @ Y0 @ X2) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y0 @ (par @ X2 @ X1)) @ (par @ X2 @ (res @ Y0 @ X1))) @ rel)))) = $true)) )),
% 111.32/17.12 inference(beta_eta_normalization,[status(thm)],[f1600])).
% 111.32/17.12 thf(f1600,plain,(
% 111.32/17.12 ( ! [X2 : pi,X1 : pi] : (($true = ((^[Y0 : pi]: (!! @ name @ (^[Y1 : name]: ((fresh @ name @ pi @ Y1 @ Y0) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y1 @ (par @ Y0 @ X1)) @ (par @ Y0 @ (res @ Y1 @ X1))) @ rel))))) @ X2))) )),
% 111.32/17.12 inference(pi_clausification,[status(thm)],[f1580])).
% 111.32/17.12 thf(f1580,plain,(
% 111.32/17.12 ( ! [X1 : pi] : (($true = (!! @ pi @ (^[Y0 : pi]: (!! @ name @ (^[Y1 : name]: ((fresh @ name @ pi @ Y1 @ Y0) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y1 @ (par @ Y0 @ X1)) @ (par @ Y0 @ (res @ Y1 @ X1))) @ rel)))))))) )),
% 111.32/17.12 inference(beta_eta_normalization,[status(thm)],[f1579])).
% 111.32/17.12 thf(f1579,plain,(
% 111.32/17.12 ( ! [X1 : pi] : ((((^[Y0 : pi]: (!! @ pi @ (^[Y1 : pi]: (!! @ name @ (^[Y2 : name]: ((fresh @ name @ pi @ Y2 @ Y1) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y2 @ (par @ Y1 @ Y0)) @ (par @ Y1 @ (res @ Y2 @ Y0))) @ rel))))))) @ X1) = $true)) )),
% 111.32/17.12 inference(pi_clausification,[status(thm)],[f845])).
% 111.32/17.12 thf(f845,plain,(
% 111.32/17.12 ((!! @ pi @ (^[Y0 : pi]: (!! @ pi @ (^[Y1 : pi]: (!! @ name @ (^[Y2 : name]: ((fresh @ name @ pi @ Y2 @ Y1) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y2 @ (par @ Y1 @ Y0)) @ (par @ Y1 @ (res @ Y2 @ Y0))) @ rel)))))))) = $true)),
% 111.32/17.12 inference(cnf_transformation,[status(thm)],[f710])).
% 111.32/17.12 thf(f710,plain,(
% 111.32/17.12 ((!! @ pi @ (^[Y0 : pi]: (!! @ pi @ (^[Y1 : pi]: (!! @ name @ (^[Y2 : name]: ((fresh @ name @ pi @ Y2 @ Y1) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ Y2 @ (par @ Y1 @ Y0)) @ (par @ Y1 @ (res @ Y2 @ Y0))) @ rel)))))))) = $true)),
% 111.32/17.12 inference(fool_elimination,[status(thm)],[f709])).
% 111.32/17.12 thf(f709,plain,(
% 111.32/17.12 ! [X0 : name,X1 : pi,X2 : pi] : ((fresh @ name @ pi @ X0 @ X1) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ X0 @ (par @ X1 @ X2)) @ (par @ X1 @ (res @ X0 @ X2))) @ rel))),
% 111.32/17.12 inference(rectify,[status(thm)],[f9])).
% 111.32/17.12 thf(f9,axiom,(
% 111.32/17.12 ! [X5 : name,X6 : pi,X7 : pi] : ((fresh @ name @ pi @ X5 @ X6) => (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (res @ X5 @ (par @ X6 @ X7)) @ (par @ X6 @ (res @ X5 @ X7))) @ rel))),
% 111.32/17.12 file('/export/starexec/sandbox/tmp/tmp.zeGLN63s6N/DTF2THF_6827.p',fact_8_Res)).
% 111.32/17.12 % SZS output end Proof for DTF2THF_6827
% 111.32/17.12 % (8036)------------------------------
% 111.32/17.12 % (8036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.32/17.12 % (8036)Termination reason: Refutation
% 111.32/17.12
% 111.32/17.12 % (8036)Memory used [KB]: 8699
% 111.32/17.12 % (8036)Time elapsed: 0.175 s
% 111.32/17.12 % (8036)Instructions burned: 571 (million)
% 111.32/17.12 % (8036)------------------------------
% 111.32/17.12 % (8036)------------------------------
% 111.32/17.12 % (7156)Success in time 15.568 s
%------------------------------------------------------------------------------