%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP002^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 08:53:01 AM UTC 2026
% Result : Theorem 1.73s 1.68s
% Output : Refutation 1.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP002^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 08:16:39 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.46 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : ITP002^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.30/0.46 % Domain : Interactive Theorem Proving
% 0.30/0.46 % Problem : HOL4 syntactic export of thm_2Eoption_2EOPTION__MAP2__THM.p, bushy mode
% 0.30/0.46 % Version : [BG+19] axioms.
% 0.30/0.46 % English :
% 0.30/0.46
% 0.30/0.46 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.30/0.46 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [BG+19]
% 0.30/0.46 % Names : thm_2Eoption_2EOPTION__MAP2__THM.p [Gau19]
% 0.30/0.46 % : HL400501^3.p [TPAP]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.67 v8.1.0, 0.75 v7.5.0
% 0.30/0.46 % Syntax : Number of formulae : 34 ( 8 unt; 18 typ; 0 def)
% 0.30/0.46 % Number of atoms : 39 ( 14 equ; 1 cnn)
% 0.30/0.46 % Maximal formula atoms : 6 ( 2 avg)
% 0.30/0.46 % Number of connectives : 150 ( 1 ~; 1 |; 15 &; 118 @)
% 0.30/0.46 % ( 14 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 10 ( 6 avg)
% 0.30/0.46 % Number of types : 2 ( 1 usr)
% 0.30/0.46 % Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 19 ( 17 usr; 3 con; 0-6 aty)
% 0.30/0.46 % Number of variables : 52 ( 0 ^; 40 !; 1 ?; 52 :)
% 0.30/0.46 % ( 11 !>; 0 ?*; 0 @-; 0 @+)
% 0.30/0.46 % SPC : TH1_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments :
% 0.30/0.46 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 thf(tyop_2Emin_2Ebool,type,
% 0.30/0.46 tyop_2Emin_2Ebool: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(tyop_2Emin_2Efun,type,
% 0.30/0.46 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 0.30/0.46
% 0.30/0.46 thf(tyop_2Eoption_2Eoption,type,
% 0.30/0.46 tyop_2Eoption_2Eoption: $tType > $tType ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2E_21,type,
% 0.30/0.46 c_2Ebool_2E_21:
% 0.30/0.46 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2E_2F_5C,type,
% 0.30/0.46 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Emin_2E_3D,type,
% 0.30/0.46 c_2Emin_2E_3D:
% 0.30/0.46 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Emin_2E_3D_3D_3E,type,
% 0.30/0.46 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2E_3F,type,
% 0.30/0.46 c_2Ebool_2E_3F:
% 0.30/0.46 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2ECOND,type,
% 0.30/0.46 c_2Ebool_2ECOND:
% 0.30/0.46 !>[A_27a: $tType] : ( $o > A_27a > A_27a > A_27a ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2EF,type,
% 0.30/0.46 c_2Ebool_2EF: $o ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Eoption_2EIS__SOME,type,
% 0.30/0.46 c_2Eoption_2EIS__SOME:
% 0.30/0.46 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Eoption_2ENONE,type,
% 0.30/0.46 c_2Eoption_2ENONE:
% 0.30/0.46 !>[A_27a: $tType] : ( tyop_2Eoption_2Eoption @ A_27a ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Eoption_2EOPTION__MAP2,type,
% 0.30/0.46 c_2Eoption_2EOPTION__MAP2:
% 0.30/0.46 !>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : ( ( A_27b > A_27c > A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) > ( tyop_2Eoption_2Eoption @ A_27c ) > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Eoption_2ESOME,type,
% 0.30/0.46 c_2Eoption_2ESOME:
% 0.30/0.46 !>[A_27a: $tType] : ( A_27a > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2ET,type,
% 0.30/0.46 c_2Ebool_2ET: $o ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Eoption_2ETHE,type,
% 0.30/0.46 c_2Eoption_2ETHE:
% 0.30/0.46 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27a ) ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2E_5C_2F,type,
% 0.30/0.46 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.30/0.46
% 0.30/0.46 thf(c_2Ebool_2E_7E,type,
% 0.30/0.46 c_2Ebool_2E_7E: $o > $o ).
% 0.30/0.46
% 0.30/0.46 thf(logicdef_2E_2F_5C,axiom,
% 0.30/0.46 ! [V0: $o,V1: $o] :
% 0.30/0.46 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.30/0.46 <=> ( V0
% 0.30/0.46 & V1 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(logicdef_2E_5C_2F,axiom,
% 0.30/0.46 ! [V0: $o,V1: $o] :
% 0.30/0.46 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.30/0.46 <=> ( V0
% 0.30/0.46 | V1 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(logicdef_2E_7E,axiom,
% 0.30/0.46 ! [V0: $o] :
% 0.30/0.46 ( ( c_2Ebool_2E_7E @ V0 )
% 0.30/0.46 <=> ( (~) @ V0 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(logicdef_2E_3D_3D_3E,axiom,
% 0.30/0.46 ! [V0: $o,V1: $o] :
% 0.30/0.46 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.30/0.46 <=> ( V0
% 0.30/0.46 => V1 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(logicdef_2E_3D,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 0.30/0.46 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 0.30/0.46 <=> ( V0 = V1 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(quantdef_2E_21,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.30/0.46 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 0.30/0.46 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(quantdef_2E_3F,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.30/0.46 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 0.30/0.46 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.30/0.46 c_2Ebool_2ET ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.30/0.46 ! [V0t: $o] :
% 0.30/0.46 ( ( ( c_2Ebool_2ET
% 0.30/0.46 & V0t )
% 0.30/0.46 <=> V0t )
% 0.30/0.46 & ( ( V0t
% 0.30/0.46 & c_2Ebool_2ET )
% 0.30/0.46 <=> V0t )
% 0.30/0.46 & ( ( c_2Ebool_2EF
% 0.30/0.46 & V0t )
% 0.30/0.46 <=> c_2Ebool_2EF )
% 0.30/0.46 & ( ( V0t
% 0.30/0.46 & c_2Ebool_2EF )
% 0.30/0.46 <=> c_2Ebool_2EF )
% 0.30/0.46 & ( ( V0t
% 0.30/0.46 & V0t )
% 0.30/0.46 <=> V0t ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0x: A_27a] :
% 0.30/0.46 ( ( V0x = V0x )
% 0.30/0.46 <=> c_2Ebool_2ET ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0t1: A_27a,V1t2: A_27a] :
% 0.30/0.46 ( ( ( c_2Ebool_2ECOND @ A_27a @ c_2Ebool_2ET @ V0t1 @ V1t2 )
% 0.30/0.46 = V0t1 )
% 0.30/0.46 & ( ( c_2Ebool_2ECOND @ A_27a @ c_2Ebool_2EF @ V0t1 @ V1t2 )
% 0.30/0.46 = V1t2 ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Eoption_2ESOME__11,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0x: A_27a,V1y: A_27a] :
% 0.30/0.46 ( ( ( c_2Eoption_2ESOME @ A_27a @ V0x )
% 0.30/0.46 = ( c_2Eoption_2ESOME @ A_27a @ V1y ) )
% 0.30/0.46 <=> ( V0x = V1y ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Eoption_2EIS__SOME__DEF,axiom,
% 0.30/0.46 ! [A_27a: $tType] :
% 0.30/0.46 ( ! [V0x: A_27a] :
% 0.30/0.46 ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V0x ) )
% 0.30/0.46 = c_2Ebool_2ET )
% 0.30/0.46 & ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ENONE @ A_27a ) )
% 0.30/0.46 = c_2Ebool_2EF ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Eoption_2ETHE__DEF,axiom,
% 0.30/0.46 ! [A_27a: $tType,V0x: A_27a] :
% 0.30/0.46 ( ( c_2Eoption_2ETHE @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V0x ) )
% 0.30/0.46 = V0x ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Eoption_2EOPTION__MAP2__DEF,axiom,
% 0.30/0.46 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0f: A_27b > A_27c > A_27a,V1x: tyop_2Eoption_2Eoption @ A_27b,V2y: tyop_2Eoption_2Eoption @ A_27c] :
% 0.30/0.46 ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V0f @ V1x @ V2y )
% 0.30/0.46 = ( c_2Ebool_2ECOND @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Ebool_2E_2F_5C @ ( c_2Eoption_2EIS__SOME @ A_27b @ V1x ) @ ( c_2Eoption_2EIS__SOME @ A_27c @ V2y ) ) @ ( c_2Eoption_2ESOME @ A_27a @ ( V0f @ ( c_2Eoption_2ETHE @ A_27b @ V1x ) @ ( c_2Eoption_2ETHE @ A_27c @ V2y ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 0.30/0.46
% 0.30/0.46 thf(thm_2Eoption_2EOPTION__MAP2__THM,conjecture,
% 0.30/0.46 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0y: A_27c,V1x: A_27b,V2f: A_27b > A_27c > A_27a] :
% 0.30/0.46 ( ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ESOME @ A_27b @ V1x ) @ ( c_2Eoption_2ESOME @ A_27c @ V0y ) )
% 0.30/0.46 = ( c_2Eoption_2ESOME @ A_27a @ ( V2f @ V1x @ V0y ) ) )
% 0.30/0.46 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ESOME @ A_27b @ V1x ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 0.30/0.46 = ( c_2Eoption_2ENONE @ A_27a ) )
% 0.30/0.46 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ENONE @ A_27b ) @ ( c_2Eoption_2ESOME @ A_27c @ V0y ) )
% 0.30/0.46 = ( c_2Eoption_2ENONE @ A_27a ) )
% 0.30/0.46 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ENONE @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 0.30/0.46 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.56/1.27 ---- Embedded in THF ---
% 1.56/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.56/1.27 %%% Generated on Tue Feb 24 08:16:40 EST 2026
% 1.56/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.56/1.27 %%% Logic specification used:
% 1.56/1.27 %%% thf(spec, logic, $$dhol).
% 1.56/1.27
% 1.56/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2DTF28461.p
% 1.56/1.27 thf(tyop_2Emin_2Ebool, type, tyop_2Emin_2Ebool: $tType).
% 1.56/1.27 thf(tyop_2Emin_2Efun, type, tyop_2Emin_2Efun: ($tType > ($tType > $tType))).
% 1.56/1.27 thf(tyop_2Eoption_2Eoption, type, tyop_2Eoption_2Eoption: ($tType > $tType)).
% 1.56/1.27 thf(c_2Ebool_2E_21, type, c_2Ebool_2E_21: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.56/1.27 thf(c_2Ebool_2E_2F_5C, type, c_2Ebool_2E_2F_5C: ($o > ($o > $o))).
% 1.56/1.27 thf(c_2Emin_2E_3D, type, c_2Emin_2E_3D: (!> [A_27a:$tType]: ((A_27a > (A_27a > $o))))).
% 1.56/1.27 thf(c_2Emin_2E_3D_3D_3E, type, c_2Emin_2E_3D_3D_3E: ($o > ($o > $o))).
% 1.56/1.27 thf(c_2Ebool_2E_3F, type, c_2Ebool_2E_3F: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.56/1.27 thf(c_2Ebool_2ECOND, type, c_2Ebool_2ECOND: (!> [A_27a:$tType]: (($o > (A_27a > (A_27a > A_27a)))))).
% 1.56/1.27 thf(c_2Ebool_2EF, type, c_2Ebool_2EF: $o).
% 1.56/1.27 thf(c_2Eoption_2EIS__SOME, type, c_2Eoption_2EIS__SOME: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > $o)))).
% 1.56/1.27 thf(c_2Eoption_2ENONE, type, c_2Eoption_2ENONE: (!> [A_27a:$tType]: ((tyop_2Eoption_2Eoption @ A_27a)))).
% 1.56/1.27 thf(c_2Eoption_2EOPTION__MAP2, type, c_2Eoption_2EOPTION__MAP2: (!> [A_27a:$tType,A_27b:$tType,A_27c:$tType]: (((A_27b > (A_27c > A_27a)) > ((tyop_2Eoption_2Eoption @ A_27b) > ((tyop_2Eoption_2Eoption @ A_27c) > (tyop_2Eoption_2Eoption @ A_27a))))))).
% 1.56/1.27 thf(c_2Eoption_2ESOME, type, c_2Eoption_2ESOME: (!> [A_27a:$tType]: ((A_27a > (tyop_2Eoption_2Eoption @ A_27a))))).
% 1.56/1.27 thf(c_2Ebool_2ET, type, c_2Ebool_2ET: $o).
% 1.56/1.27 thf(c_2Eoption_2ETHE, type, c_2Eoption_2ETHE: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > A_27a)))).
% 1.56/1.27 thf(c_2Ebool_2E_5C_2F, type, c_2Ebool_2E_5C_2F: ($o > ($o > $o))).
% 1.56/1.27 thf(c_2Ebool_2E_7E, type, c_2Ebool_2E_7E: ($o > $o)).
% 1.56/1.27 thf(logicdef_2E_2F_5C, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_2F_5C @ V0) @ V1) <=> (V0 & V1))))).
% 1.56/1.27 thf(logicdef_2E_5C_2F, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_5C_2F @ V0) @ V1) <=> (V0 | V1))))).
% 1.56/1.27 thf(logicdef_2E_7E, axiom, (! [V0:$o]: (((c_2Ebool_2E_7E @ V0) <=> ((~) @ V0))))).
% 1.56/1.27 thf(logicdef_2E_3D_3D_3E, axiom, (! [V0:$o,V1:$o]: ((((c_2Emin_2E_3D_3D_3E @ V0) @ V1) <=> (V0 => V1))))).
% 1.56/1.27 thf(logicdef_2E_3D, axiom, (! [A_27a:$tType,V0:A_27a,V1:A_27a]: (((((c_2Emin_2E_3D @ A_27a) @ V0) @ V1) <=> (V0 = V1))))).
% 1.56/1.27 thf(quantdef_2E_21, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_21 @ A_27a) @ V0f) <=> (! [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.56/1.27 thf(quantdef_2E_3F, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_3F @ A_27a) @ V0f) <=> (? [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.56/1.27 thf(thm_2Ebool_2ETRUTH, axiom, c_2Ebool_2ET).
% 1.56/1.27 thf(thm_2Ebool_2EAND__CLAUSES, axiom, (! [V0t:$o]: ((((c_2Ebool_2ET & V0t) <=> V0t) & (((V0t & c_2Ebool_2ET) <=> V0t) & (((c_2Ebool_2EF & V0t) <=> c_2Ebool_2EF) & (((V0t & c_2Ebool_2EF) <=> c_2Ebool_2EF) & ((V0t & V0t) <=> V0t)))))))).
% 1.56/1.27 thf(thm_2Ebool_2EREFL__CLAUSE, axiom, (! [A_27a:$tType,V0x:A_27a]: (((V0x = V0x) <=> c_2Ebool_2ET)))).
% 1.56/1.27 thf(thm_2Ebool_2ECOND__CLAUSES, axiom, (! [A_27a:$tType,V0t1:A_27a,V1t2:A_27a]: (((((((c_2Ebool_2ECOND @ A_27a) @ c_2Ebool_2ET) @ V0t1) @ V1t2) = V0t1) & (((((c_2Ebool_2ECOND @ A_27a) @ c_2Ebool_2EF) @ V0t1) @ V1t2) = V1t2))))).
% 1.56/1.27 thf(thm_2Eoption_2ESOME__11, axiom, (! [A_27a:$tType,V0x:A_27a,V1y:A_27a]: (((((c_2Eoption_2ESOME @ A_27a) @ V0x) = ((c_2Eoption_2ESOME @ A_27a) @ V1y)) <=> (V0x = V1y))))).
% 1.56/1.27 thf(thm_2Eoption_2EIS__SOME__DEF, axiom, (! [A_27a:$tType]: (((! [V0x:A_27a]: ((((c_2Eoption_2EIS__SOME @ A_27a) @ ((c_2Eoption_2ESOME @ A_27a) @ V0x)) = c_2Ebool_2ET))) & (((c_2Eoption_2EIS__SOME @ A_27a) @ (c_2Eoption_2ENONE @ A_27a)) = c_2Ebool_2EF))))).
% 1.56/1.27 thf(thm_2Eoption_2ETHE__DEF, axiom, (! [A_27a:$tType,V0x:A_27a]: ((((c_2Eoption_2ETHE @ A_27a) @ ((c_2Eoption_2ESOME @ A_27a) @ V0x)) = V0x)))).
% 1.56/1.27 thf(thm_2Eoption_2EOPTION__MAP2__DEF, axiom, (! [A_27a:$tType,A_27b:$tType,A_27c:$tType,V0f:(A_27b > (A_27c > A_27a)),V1x:(tyop_2Eoption_2Eoption @ A_27b),V2y:(tyop_2Eoption_2Eoption @ A_27c)]: ((((((((c_2Eoption_2EOPTION__MAP2 @ A_27a) @ A_27b) @ A_27c) @ V0f) @ V1x) @ V2y) = ((((c_2Ebool_2ECOND @ (tyop_2Eoption_2Eoption @ A_27a)) @ ((c_2Ebool_2E_2F_5C @ ((c_2Eoption_2EIS__SOME @ A_27b) @ V1x)) @ ((c_2Eoption_2EIS__SOME @ A_27c) @ V2y))) @ ((c_2Eoption_2ESOME @ A_27a) @ ((V0f @ ((c_2Eoption_2ETHE @ A_27b) @ V1x)) @ ((c_2Eoption_2ETHE @ A_27c) @ V2y)))) @ (c_2Eoption_2ENONE @ A_27a)))))).
% 1.56/1.27 thf(thm_2Eoption_2EOPTION__MAP2__THM, conjecture, (! [A_27a:$tType,A_27b:$tType,A_27c:$tType,V0y:A_27c,V1x:A_27b,V2f:(A_27b > (A_27c > A_27a))]: (((((((((c_2Eoption_2EOPTION__MAP2 @ A_27a) @ A_27b) @ A_27c) @ V2f) @ ((c_2Eoption_2ESOME @ A_27b) @ V1x)) @ ((c_2Eoption_2ESOME @ A_27c) @ V0y)) = ((c_2Eoption_2ESOME @ A_27a) @ ((V2f @ V1x) @ V0y))) & ((((((((c_2Eoption_2EOPTION__MAP2 @ A_27a) @ A_27b) @ A_27c) @ V2f) @ ((c_2Eoption_2ESOME @ A_27b) @ V1x)) @ (c_2Eoption_2ENONE @ A_27c)) = (c_2Eoption_2ENONE @ A_27a)) & ((((((((c_2Eoption_2EOPTION__MAP2 @ A_27a) @ A_27b) @ A_27c) @ V2f) @ (c_2Eoption_2ENONE @ A_27b)) @ ((c_2Eoption_2ESOME @ A_27c) @ V0y)) = (c_2Eoption_2ENONE @ A_27a)) & (((((((c_2Eoption_2EOPTION__MAP2 @ A_27a) @ A_27b) @ A_27c) @ V2f) @ (c_2Eoption_2ENONE @ A_27b)) @ (c_2Eoption_2ENONE @ A_27c)) = (c_2Eoption_2ENONE @ A_27a)))))))).
% 1.56/1.27 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2DTF28461.p
% 1.56/1.27 ------------------------
% 1.56/1.28 ---- Cleaned THF ---
% 1.56/1.28 thf(tyop_2Emin_2Ebool,type,
% 1.56/1.28 tyop_2Emin_2Ebool: $tType ).
% 1.56/1.28
% 1.56/1.28 thf(tyop_2Emin_2Efun,type,
% 1.56/1.28 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 1.56/1.28
% 1.56/1.28 thf(tyop_2Eoption_2Eoption,type,
% 1.56/1.28 tyop_2Eoption_2Eoption: $tType > $tType ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2E_21,type,
% 1.56/1.28 c_2Ebool_2E_21:
% 1.56/1.28 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2E_2F_5C,type,
% 1.56/1.28 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Emin_2E_3D,type,
% 1.56/1.28 c_2Emin_2E_3D:
% 1.56/1.28 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Emin_2E_3D_3D_3E,type,
% 1.56/1.28 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2E_3F,type,
% 1.56/1.28 c_2Ebool_2E_3F:
% 1.56/1.28 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2ECOND,type,
% 1.56/1.28 c_2Ebool_2ECOND:
% 1.56/1.28 !>[A_27a: $tType] : ( $o > A_27a > A_27a > A_27a ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2EF,type,
% 1.56/1.28 c_2Ebool_2EF: $o ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Eoption_2EIS__SOME,type,
% 1.56/1.28 c_2Eoption_2EIS__SOME:
% 1.56/1.28 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Eoption_2ENONE,type,
% 1.56/1.28 c_2Eoption_2ENONE:
% 1.56/1.28 !>[A_27a: $tType] : ( tyop_2Eoption_2Eoption @ A_27a ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Eoption_2EOPTION__MAP2,type,
% 1.56/1.28 c_2Eoption_2EOPTION__MAP2:
% 1.56/1.28 !>[A_27a: $tType,A_27b: $tType,A_27c: $tType] : ( ( A_27b > A_27c > A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) > ( tyop_2Eoption_2Eoption @ A_27c ) > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Eoption_2ESOME,type,
% 1.56/1.28 c_2Eoption_2ESOME:
% 1.56/1.28 !>[A_27a: $tType] : ( A_27a > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2ET,type,
% 1.56/1.28 c_2Ebool_2ET: $o ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Eoption_2ETHE,type,
% 1.56/1.28 c_2Eoption_2ETHE:
% 1.56/1.28 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27a ) ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2E_5C_2F,type,
% 1.56/1.28 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 1.56/1.28
% 1.56/1.28 thf(c_2Ebool_2E_7E,type,
% 1.56/1.28 c_2Ebool_2E_7E: $o > $o ).
% 1.56/1.28
% 1.56/1.28 thf(logicdef_2E_2F_5C,axiom,
% 1.56/1.28 ! [V0: $o,V1: $o] :
% 1.56/1.28 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 1.56/1.28 <=> ( V0
% 1.56/1.28 & V1 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(logicdef_2E_5C_2F,axiom,
% 1.56/1.28 ! [V0: $o,V1: $o] :
% 1.56/1.28 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 1.56/1.28 <=> ( V0
% 1.56/1.28 | V1 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(logicdef_2E_7E,axiom,
% 1.56/1.28 ! [V0: $o] :
% 1.56/1.28 ( ( c_2Ebool_2E_7E @ V0 )
% 1.56/1.28 <=> ( (~) @ V0 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(logicdef_2E_3D_3D_3E,axiom,
% 1.56/1.28 ! [V0: $o,V1: $o] :
% 1.56/1.28 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 1.56/1.28 <=> ( V0
% 1.56/1.28 => V1 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(logicdef_2E_3D,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 1.56/1.28 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 1.56/1.28 <=> ( V0 = V1 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(quantdef_2E_21,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.56/1.28 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 1.56/1.28 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(quantdef_2E_3F,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.56/1.28 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 1.56/1.28 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Ebool_2ETRUTH,axiom,
% 1.56/1.28 c_2Ebool_2ET ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 1.56/1.28 ! [V0t: $o] :
% 1.56/1.28 ( ( ( c_2Ebool_2ET
% 1.56/1.28 & V0t )
% 1.56/1.28 <=> V0t )
% 1.56/1.28 & ( ( V0t
% 1.56/1.28 & c_2Ebool_2ET )
% 1.56/1.28 <=> V0t )
% 1.56/1.28 & ( ( c_2Ebool_2EF
% 1.56/1.28 & V0t )
% 1.56/1.28 <=> c_2Ebool_2EF )
% 1.56/1.28 & ( ( V0t
% 1.56/1.28 & c_2Ebool_2EF )
% 1.56/1.28 <=> c_2Ebool_2EF )
% 1.56/1.28 & ( ( V0t
% 1.56/1.28 & V0t )
% 1.56/1.28 <=> V0t ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0x: A_27a] :
% 1.56/1.28 ( ( V0x = V0x )
% 1.56/1.28 <=> c_2Ebool_2ET ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0t1: A_27a,V1t2: A_27a] :
% 1.56/1.28 ( ( ( c_2Ebool_2ECOND @ A_27a @ c_2Ebool_2ET @ V0t1 @ V1t2 )
% 1.56/1.28 = V0t1 )
% 1.56/1.28 & ( ( c_2Ebool_2ECOND @ A_27a @ c_2Ebool_2EF @ V0t1 @ V1t2 )
% 1.56/1.28 = V1t2 ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Eoption_2ESOME__11,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0x: A_27a,V1y: A_27a] :
% 1.56/1.28 ( ( ( c_2Eoption_2ESOME @ A_27a @ V0x )
% 1.56/1.28 = ( c_2Eoption_2ESOME @ A_27a @ V1y ) )
% 1.56/1.28 <=> ( V0x = V1y ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Eoption_2EIS__SOME__DEF,axiom,
% 1.56/1.28 ! [A_27a: $tType] :
% 1.56/1.28 ( ! [V0x: A_27a] :
% 1.56/1.28 ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V0x ) )
% 1.56/1.28 = c_2Ebool_2ET )
% 1.56/1.28 & ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ENONE @ A_27a ) )
% 1.56/1.28 = c_2Ebool_2EF ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Eoption_2ETHE__DEF,axiom,
% 1.56/1.28 ! [A_27a: $tType,V0x: A_27a] :
% 1.56/1.28 ( ( c_2Eoption_2ETHE @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V0x ) )
% 1.56/1.28 = V0x ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Eoption_2EOPTION__MAP2__DEF,axiom,
% 1.56/1.28 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0f: A_27b > A_27c > A_27a,V1x: tyop_2Eoption_2Eoption @ A_27b,V2y: tyop_2Eoption_2Eoption @ A_27c] :
% 1.56/1.28 ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V0f @ V1x @ V2y )
% 1.56/1.28 = ( c_2Ebool_2ECOND @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Ebool_2E_2F_5C @ ( c_2Eoption_2EIS__SOME @ A_27b @ V1x ) @ ( c_2Eoption_2EIS__SOME @ A_27c @ V2y ) ) @ ( c_2Eoption_2ESOME @ A_27a @ ( V0f @ ( c_2Eoption_2ETHE @ A_27b @ V1x ) @ ( c_2Eoption_2ETHE @ A_27c @ V2y ) ) ) @ ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 1.56/1.28
% 1.56/1.28 thf(thm_2Eoption_2EOPTION__MAP2__THM,conjecture,
% 1.56/1.28 ! [A_27a: $tType,A_27b: $tType,A_27c: $tType,V0y: A_27c,V1x: A_27b,V2f: A_27b > A_27c > A_27a] :
% 1.56/1.28 ( ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ESOME @ A_27b @ V1x ) @ ( c_2Eoption_2ESOME @ A_27c @ V0y ) )
% 1.56/1.28 = ( c_2Eoption_2ESOME @ A_27a @ ( V2f @ V1x @ V0y ) ) )
% 1.56/1.28 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ESOME @ A_27b @ V1x ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 1.56/1.28 = ( c_2Eoption_2ENONE @ A_27a ) )
% 1.56/1.28 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ENONE @ A_27b ) @ ( c_2Eoption_2ESOME @ A_27c @ V0y ) )
% 1.56/1.28 = ( c_2Eoption_2ENONE @ A_27a ) )
% 1.56/1.28 & ( ( c_2Eoption_2EOPTION__MAP2 @ A_27a @ A_27b @ A_27c @ V2f @ ( c_2Eoption_2ENONE @ A_27b ) @ ( c_2Eoption_2ENONE @ A_27c ) )
% 1.56/1.28 = ( c_2Eoption_2ENONE @ A_27a ) ) ) ).
% 1.56/1.28 ------------------------
% 1.73/1.30 % (28739)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_28461 for (2999ds/275Mi)
% 1.73/1.30 % (28734)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/183Mi)
% 1.73/1.30 % (28740)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/18Mi)
% 1.73/1.30 % (28739)Refutation not found, incomplete strategy
% 1.73/1.30 % (28739)------------------------------
% 1.73/1.30 % (28739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.30 % (28739)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.30
% 1.73/1.30
% 1.73/1.30 % (28739)Memory used [KB]: 5500
% 1.73/1.30 % (28739)Time elapsed: 0.003 s
% 1.73/1.30 % (28739)Instructions burned: 4 (million)
% 1.73/1.30 % (28739)------------------------------
% 1.73/1.30 % (28739)------------------------------
% 1.73/1.31 % (28735)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_28461 for (2999ds/4Mi)
% 1.73/1.31 % (28736)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_28461 for (2999ds/27Mi)
% 1.73/1.31 % (28737)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/2Mi)
% 1.73/1.31 % (28738)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_28461 for (2999ds/2Mi)
% 1.73/1.31 % (28737)Instruction limit reached!
% 1.73/1.31 % (28737)------------------------------
% 1.73/1.31 % (28737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (28737)Termination reason: Unknown
% 1.73/1.31 % (28737)Termination phase: Property scanning
% 1.73/1.31
% 1.73/1.31 % (28737)Memory used [KB]: 1023
% 1.73/1.31 % (28737)Time elapsed: 0.003 s
% 1.73/1.31 % (28737)Instructions burned: 2 (million)
% 1.73/1.31 % (28737)------------------------------
% 1.73/1.31 % (28737)------------------------------
% 1.73/1.31 % (28738)Instruction limit reached!
% 1.73/1.31 % (28738)------------------------------
% 1.73/1.31 % (28738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (28738)Termination reason: Unknown
% 1.73/1.31 % (28738)Termination phase: shuffling
% 1.73/1.31
% 1.73/1.31 % (28738)Memory used [KB]: 1023
% 1.73/1.31 % (28738)Time elapsed: 0.003 s
% 1.73/1.31 % (28738)Instructions burned: 2 (million)
% 1.73/1.31 % (28738)------------------------------
% 1.73/1.31 % (28738)------------------------------
% 1.73/1.31 % (28735)Instruction limit reached!
% 1.73/1.31 % (28735)------------------------------
% 1.73/1.31 % (28735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (28735)Termination reason: Unknown
% 1.73/1.31 % (28735)Termination phase: Preprocessing 1
% 1.73/1.31
% 1.73/1.31 % (28735)Memory used [KB]: 1023
% 1.73/1.31 % (28735)Time elapsed: 0.004 s
% 1.73/1.31 % (28735)Instructions burned: 4 (million)
% 1.73/1.31 % (28735)------------------------------
% 1.73/1.31 % (28735)------------------------------
% 1.73/1.31 % (28740)Instruction limit reached!
% 1.73/1.31 % (28740)------------------------------
% 1.73/1.31 % (28740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (28740)Termination reason: Unknown
% 1.73/1.31 % (28740)Termination phase: Saturation
% 1.73/1.31
% 1.73/1.31 % (28740)Memory used [KB]: 5756
% 1.73/1.31 % (28740)Time elapsed: 0.010 s
% 1.73/1.31 % (28740)Instructions burned: 19 (million)
% 1.73/1.31 % (28740)------------------------------
% 1.73/1.31 % (28740)------------------------------
% 1.73/1.31 % (28741)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/3Mi)
% 1.73/1.31 % (28741)Instruction limit reached!
% 1.73/1.31 % (28741)------------------------------
% 1.73/1.31 % (28741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.31 % (28741)Termination reason: Unknown
% 1.73/1.31 % (28741)Termination phase: Property scanning
% 1.73/1.31
% 1.73/1.31 % (28741)Memory used [KB]: 1023
% 1.73/1.31 % (28741)Time elapsed: 0.002 s
% 1.73/1.31 % (28741)Instructions burned: 4 (million)
% 1.73/1.31 % (28741)------------------------------
% 1.73/1.31 % (28741)------------------------------
% 1.73/1.32 % (28745)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_28461 for (2999ds/1041Mi)
% 1.73/1.32 % Exception at run slice level
% 1.73/1.32 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.32 % (28746)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/7Mi)
% 1.73/1.32 % (28746)Instruction limit reached!
% 1.73/1.32 % (28746)------------------------------
% 1.73/1.32 % (28746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.32 % (28746)Termination reason: Unknown
% 1.73/1.32 % (28746)Termination phase: Saturation
% 1.73/1.32
% 1.73/1.32 % (28746)Memory used [KB]: 1151
% 1.73/1.32 % (28746)Time elapsed: 0.004 s
% 1.73/1.32 % (28746)Instructions burned: 9 (million)
% 1.73/1.32 % (28746)------------------------------
% 1.73/1.32 % (28746)------------------------------
% 1.73/1.33 % (28742)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_28461 for (2999ds/37Mi)
% 1.73/1.33 % (28743)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_28461 for (2999ds/15Mi)
% 1.73/1.33 % (28736)Instruction limit reached!
% 1.73/1.33 % (28736)------------------------------
% 1.73/1.33 % (28736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (28736)Termination reason: Unknown
% 1.73/1.33 % (28736)Termination phase: Saturation
% 1.73/1.33
% 1.73/1.33 % (28736)Memory used [KB]: 5756
% 1.73/1.33 % (28736)Time elapsed: 0.021 s
% 1.73/1.33 % (28736)Instructions burned: 27 (million)
% 1.73/1.33 % (28736)------------------------------
% 1.73/1.33 % (28736)------------------------------
% 1.73/1.33 % (28744)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_28461 for (2999ds/3Mi)
% 1.73/1.33 % Exception at run slice level
% 1.73/1.33 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.33 % (28744)Instruction limit reached!
% 1.73/1.33 % (28744)------------------------------
% 1.73/1.33 % (28744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (28744)Termination reason: Unknown
% 1.73/1.33 % (28744)Termination phase: Property scanning
% 1.73/1.33
% 1.73/1.33 % (28744)Memory used [KB]: 1023
% 1.73/1.33 % (28744)Time elapsed: 0.004 s
% 1.73/1.33 % (28744)Instructions burned: 4 (million)
% 1.73/1.33 % (28744)------------------------------
% 1.73/1.33 % (28744)------------------------------
% 1.73/1.33 % (28743)Refutation not found, incomplete strategy
% 1.73/1.33 % (28743)------------------------------
% 1.73/1.33 % (28743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.33 % (28743)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.33
% 1.73/1.33
% 1.73/1.33 % (28743)Memory used [KB]: 5628
% 1.73/1.33 % (28743)Time elapsed: 0.006 s
% 1.73/1.33 % (28743)Instructions burned: 6 (million)
% 1.73/1.33 % (28743)------------------------------
% 1.73/1.33 % (28743)------------------------------
% 1.73/1.33 % (28747)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/16Mi)
% 1.73/1.33 % (28748)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_28461 for (2999ds/3Mi)
% 1.73/1.34 % (28748)Instruction limit reached!
% 1.73/1.34 % (28748)------------------------------
% 1.73/1.34 % (28748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.34 % (28748)Termination reason: Unknown
% 1.73/1.34 % (28748)Termination phase: Preprocessing 3
% 1.73/1.34
% 1.73/1.34 % (28748)Memory used [KB]: 1023
% 1.73/1.34 % (28748)Time elapsed: 0.002 s
% 1.73/1.34 % (28748)Instructions burned: 3 (million)
% 1.73/1.34 % (28748)------------------------------
% 1.73/1.34 % (28748)------------------------------
% 1.73/1.34 % (28747)Instruction limit reached!
% 1.73/1.34 % (28747)------------------------------
% 1.73/1.34 % (28747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.34 % (28747)Termination reason: Unknown
% 1.73/1.34 % (28747)Termination phase: Saturation
% 1.73/1.34
% 1.73/1.34 % (28747)Memory used [KB]: 5628
% 1.73/1.34 % (28747)Time elapsed: 0.007 s
% 1.73/1.34 % (28747)Instructions burned: 16 (million)
% 1.73/1.34 % (28747)------------------------------
% 1.73/1.34 % (28747)------------------------------
% 1.73/1.34 % (28749)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_28461 for (2999ds/3Mi)
% 1.73/1.34 % (28750)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/7Mi)
% 1.73/1.34 % (28753)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/18Mi)
% 1.73/1.35 % (28749)Instruction limit reached!
% 1.73/1.35 % (28749)------------------------------
% 1.73/1.35 % (28749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (28749)Termination reason: Unknown
% 1.73/1.35 % (28749)Termination phase: Property scanning
% 1.73/1.35
% 1.73/1.35 % (28749)Memory used [KB]: 1023
% 1.73/1.35 % (28749)Time elapsed: 0.004 s
% 1.73/1.35 % (28749)Instructions burned: 4 (million)
% 1.73/1.35 % (28749)------------------------------
% 1.73/1.35 % (28749)------------------------------
% 1.73/1.35 % (28751)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/3Mi)
% 1.73/1.35 % (28754)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/710Mi)
% 1.73/1.35 % Exception at run slice level
% 1.73/1.35 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.35 % (28752)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/4Mi)
% 1.73/1.35 % (28750)Instruction limit reached!
% 1.73/1.35 % (28750)------------------------------
% 1.73/1.35 % (28750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (28750)Termination reason: Unknown
% 1.73/1.35 % (28750)Termination phase: Saturation
% 1.73/1.35
% 1.73/1.35 % (28750)Memory used [KB]: 5500
% 1.73/1.35 % (28750)Time elapsed: 0.006 s
% 1.73/1.35 % (28750)Instructions burned: 7 (million)
% 1.73/1.35 % (28750)------------------------------
% 1.73/1.35 % (28750)------------------------------
% 1.73/1.35 % (28752)Instruction limit reached!
% 1.73/1.35 % (28752)------------------------------
% 1.73/1.35 % (28752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (28752)Termination reason: Unknown
% 1.73/1.35 % (28752)Termination phase: Property scanning
% 1.73/1.35
% 1.73/1.35 % (28752)Memory used [KB]: 1023
% 1.73/1.35 % (28752)Time elapsed: 0.004 s
% 1.73/1.35 % (28752)Instructions burned: 4 (million)
% 1.73/1.35 % (28752)------------------------------
% 1.73/1.35 % (28752)------------------------------
% 1.73/1.35 % (28753)Instruction limit reached!
% 1.73/1.35 % (28753)------------------------------
% 1.73/1.35 % (28753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.35 % (28753)Termination reason: Unknown
% 1.73/1.35 % (28753)Termination phase: Saturation
% 1.73/1.35
% 1.73/1.35 % (28753)Memory used [KB]: 5628
% 1.73/1.35 % (28753)Time elapsed: 0.007 s
% 1.73/1.35 % (28753)Instructions burned: 18 (million)
% 1.73/1.35 % (28753)------------------------------
% 1.73/1.35 % (28753)------------------------------
% 1.73/1.36 % (28759)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_28461 for (2999ds/6Mi)
% 1.73/1.36 % Exception at run slice level
% 1.73/1.36 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.36 % (28734)Instruction limit reached!
% 1.73/1.36 % (28734)------------------------------
% 1.73/1.36 % (28734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.36 % (28734)Termination reason: Unknown
% 1.73/1.36 % (28734)Termination phase: Saturation
% 1.73/1.36
% 1.73/1.36 % (28734)Memory used [KB]: 6652
% 1.73/1.36 % (28734)Time elapsed: 0.062 s
% 1.73/1.36 % (28734)Instructions burned: 183 (million)
% 1.73/1.36 % (28734)------------------------------
% 1.73/1.36 % (28734)------------------------------
% 1.73/1.36 % (28755)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/6Mi)
% 1.73/1.36 % (28756)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_28461 for (2999ds/902Mi)
% 1.73/1.37 % (28757)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_28461 for (2999ds/21Mi)
% 1.73/1.37 % (28755)Instruction limit reached!
% 1.73/1.37 % (28755)------------------------------
% 1.73/1.37 % (28755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (28755)Termination reason: Unknown
% 1.73/1.37 % (28755)Termination phase: Saturation
% 1.73/1.37
% 1.73/1.37 % (28755)Memory used [KB]: 5628
% 1.73/1.37 % (28755)Time elapsed: 0.006 s
% 1.73/1.37 % (28755)Instructions burned: 6 (million)
% 1.73/1.37 % (28755)------------------------------
% 1.73/1.37 % (28755)------------------------------
% 1.73/1.37 % (28756)Refutation not found, incomplete strategy
% 1.73/1.37 % (28756)------------------------------
% 1.73/1.37 % (28756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.37 % (28756)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.37
% 1.73/1.37
% 1.73/1.37 % (28756)Memory used [KB]: 5628
% 1.73/1.37 % (28756)Time elapsed: 0.005 s
% 1.73/1.37 % (28756)Instructions burned: 6 (million)
% 1.73/1.37 % (28756)------------------------------
% 1.73/1.37 % (28756)------------------------------
% 1.73/1.37 % (28758)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/5Mi)
% 1.73/1.37 % Exception at run slice level
% 1.73/1.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.37 % (28760)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/377Mi)
% 1.73/1.37 % (28761)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_28461 for (2999ds/779Mi)
% 1.73/1.37 % Exception at run slice level
% 1.73/1.37 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.38 % (28757)Instruction limit reached!
% 1.73/1.38 % (28757)------------------------------
% 1.73/1.38 % (28757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38 % (28757)Termination reason: Unknown
% 1.73/1.38 % (28757)Termination phase: Saturation
% 1.73/1.38
% 1.73/1.38 % (28757)Memory used [KB]: 5756
% 1.73/1.38 % (28757)Time elapsed: 0.016 s
% 1.73/1.38 % (28757)Instructions burned: 21 (million)
% 1.73/1.38 % (28757)------------------------------
% 1.73/1.38 % (28757)------------------------------
% 1.73/1.38 % (28763)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/879Mi)
% 1.73/1.38 % (28765)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/3Mi)
% 1.73/1.38 % (28765)Instruction limit reached!
% 1.73/1.38 % (28765)------------------------------
% 1.73/1.38 % (28765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.38 % (28765)Termination reason: Unknown
% 1.73/1.38 % (28765)Termination phase: Property scanning
% 1.73/1.38
% 1.73/1.38 % (28765)Memory used [KB]: 1023
% 1.73/1.38 % (28765)Time elapsed: 0.003 s
% 1.73/1.38 % (28765)Instructions burned: 4 (million)
% 1.73/1.38 % (28765)------------------------------
% 1.73/1.38 % (28765)------------------------------
% 1.73/1.38 % (28762)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_28461 for (2999ds/19Mi)
% 1.73/1.39 % Exception at run slice level
% 1.73/1.39 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.39 % (28764)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/17Mi)
% 1.73/1.39 % (28767)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_28461 for (2998ds/127Mi)
% 1.73/1.40 % (28766)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_28461 for (2999ds/30Mi)
% 1.73/1.40 % (28764)Instruction limit reached!
% 1.73/1.40 % (28764)------------------------------
% 1.73/1.40 % (28764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.40 % (28764)Termination reason: Unknown
% 1.73/1.40 % (28764)Termination phase: Saturation
% 1.73/1.40
% 1.73/1.40 % (28764)Memory used [KB]: 5756
% 1.73/1.40 % (28764)Time elapsed: 0.036 s
% 1.73/1.40 % (28764)Instructions burned: 18 (million)
% 1.73/1.40 % (28764)------------------------------
% 1.73/1.40 % (28764)------------------------------
% 1.73/1.40 % (28768)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_28461 for (2998ds/100Mi)
% 1.73/1.41 % (28769)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_28461 for (2998ds/3Mi)
% 1.73/1.41 % Exception at run slice level
% 1.73/1.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.42 % (28766)Instruction limit reached!
% 1.73/1.42 % (28766)------------------------------
% 1.73/1.42 % (28766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.42 % (28766)Termination reason: Unknown
% 1.73/1.42 % (28766)Termination phase: Saturation
% 1.73/1.42
% 1.73/1.42 % (28766)Memory used [KB]: 5756
% 1.73/1.42 % (28766)Time elapsed: 0.022 s
% 1.73/1.42 % (28766)Instructions burned: 31 (million)
% 1.73/1.42 % (28766)------------------------------
% 1.73/1.42 % (28766)------------------------------
% 1.73/1.43 % (28770)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_28461 for (2998ds/20Mi)
% 1.73/1.43 % (28771)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_28461 for (2998ds/86Mi)
% 1.73/1.43 % (28770)Instruction limit reached!
% 1.73/1.43 % (28770)------------------------------
% 1.73/1.43 % (28770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.43 % (28770)Termination reason: Unknown
% 1.73/1.43 % (28770)Termination phase: Saturation
% 1.73/1.43
% 1.73/1.43 % (28770)Memory used [KB]: 5756
% 1.73/1.43 % (28770)Time elapsed: 0.010 s
% 1.73/1.43 % (28770)Instructions burned: 22 (million)
% 1.73/1.43 % (28770)------------------------------
% 1.73/1.43 % (28770)------------------------------
% 1.73/1.44 % (28767)Instruction limit reached!
% 1.73/1.44 % (28767)------------------------------
% 1.73/1.44 % (28767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.44 % (28767)Termination reason: Unknown
% 1.73/1.44 % (28767)Termination phase: Saturation
% 1.73/1.44
% 1.73/1.44 % (28767)Memory used [KB]: 6140
% 1.73/1.44 % (28767)Time elapsed: 0.046 s
% 1.73/1.44 % (28767)Instructions burned: 129 (million)
% 1.73/1.44 % (28767)------------------------------
% 1.73/1.44 % (28767)------------------------------
% 1.73/1.44 % (28772)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_28461 for (2998ds/107Mi)
% 1.73/1.45 % (28773)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_28461 for (2998ds/39Mi)
% 1.73/1.45 % Exception at run slice level
% 1.73/1.45 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.46 % (28774)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_28461 for (2998ds/448Mi)
% 1.73/1.46 % Exception at run slice level
% 1.73/1.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.46 % (28768)Instruction limit reached!
% 1.73/1.46 % (28768)------------------------------
% 1.73/1.46 % (28768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.46 % (28768)Termination reason: Unknown
% 1.73/1.46 % (28768)Termination phase: Saturation
% 1.73/1.46
% 1.73/1.46 % (28768)Memory used [KB]: 6140
% 1.73/1.46 % (28768)Time elapsed: 0.060 s
% 1.73/1.46 % (28768)Instructions burned: 102 (million)
% 1.73/1.46 % (28768)------------------------------
% 1.73/1.46 % (28768)------------------------------
% 1.73/1.47 % (28771)Instruction limit reached!
% 1.73/1.47 % (28771)------------------------------
% 1.73/1.47 % (28771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.47 % (28771)Termination reason: Unknown
% 1.73/1.47 % (28771)Termination phase: Saturation
% 1.73/1.47
% 1.73/1.47 % (28771)Memory used [KB]: 5884
% 1.73/1.47 % (28771)Time elapsed: 0.035 s
% 1.73/1.47 % (28771)Instructions burned: 86 (million)
% 1.73/1.47 % (28771)------------------------------
% 1.73/1.47 % (28771)------------------------------
% 1.73/1.47 % (28775)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_28461 for (2998ds/46Mi)
% 1.73/1.47 % (28776)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_28461 for (2998ds/98Mi)
% 1.73/1.47 % Exception at run slice level
% 1.73/1.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.48 % (28777)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_28461 for (2998ds/507Mi)
% 1.73/1.48 % (28777)Refutation not found, incomplete strategy
% 1.73/1.48 % (28777)------------------------------
% 1.73/1.48 % (28777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (28777)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.48
% 1.73/1.48
% 1.73/1.48 % (28777)Memory used [KB]: 5628
% 1.73/1.48 % (28777)Time elapsed: 0.004 s
% 1.73/1.48 % (28777)Instructions burned: 7 (million)
% 1.73/1.48 % (28777)------------------------------
% 1.73/1.48 % (28777)------------------------------
% 1.73/1.48 % (28778)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_28461 for (2998ds/149Mi)
% 1.73/1.48 % (28772)Instruction limit reached!
% 1.73/1.48 % (28772)------------------------------
% 1.73/1.48 % (28772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.48 % (28772)Termination reason: Unknown
% 1.73/1.48 % (28772)Termination phase: Saturation
% 1.73/1.48
% 1.73/1.48 % (28772)Memory used [KB]: 6140
% 1.73/1.48 % (28772)Time elapsed: 0.039 s
% 1.73/1.48 % (28772)Instructions burned: 108 (million)
% 1.73/1.48 % (28772)------------------------------
% 1.73/1.48 % (28772)------------------------------
% 1.73/1.49 % (28775)Instruction limit reached!
% 1.73/1.49 % (28775)------------------------------
% 1.73/1.49 % (28775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.49 % (28775)Termination reason: Unknown
% 1.73/1.49 % (28775)Termination phase: Saturation
% 1.73/1.49
% 1.73/1.49 % (28775)Memory used [KB]: 5884
% 1.73/1.49 % (28775)Time elapsed: 0.019 s
% 1.73/1.49 % (28775)Instructions burned: 47 (million)
% 1.73/1.49 % (28775)------------------------------
% 1.73/1.49 % (28775)------------------------------
% 1.73/1.49 % (28779)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_28461 for (2998ds/39Mi)
% 1.73/1.49 % (28780)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_28461 for (2998ds/6Mi)
% 1.73/1.49 % Exception at run slice level
% 1.73/1.49 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.49 % (28760)Instruction limit reached!
% 1.73/1.49 % (28760)------------------------------
% 1.73/1.49 % (28760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.49 % (28760)Termination reason: Unknown
% 1.73/1.49 % (28760)Termination phase: Saturation
% 1.73/1.49
% 1.73/1.49 % (28760)Memory used [KB]: 6268
% 1.73/1.49 % (28760)Time elapsed: 0.125 s
% 1.73/1.49 % (28760)Instructions burned: 377 (million)
% 1.73/1.49 % (28760)------------------------------
% 1.73/1.49 % (28760)------------------------------
% 1.73/1.50 % (28781)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_28461 for (2998ds/1087Mi)
% 1.73/1.50 % (28782)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/47Mi)
% 1.73/1.50 % (28783)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_28461 for (2997ds/44Mi)
% 1.73/1.50 % (28779)Instruction limit reached!
% 1.73/1.50 % (28779)------------------------------
% 1.73/1.50 % (28779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.50 % (28779)Termination reason: Unknown
% 1.73/1.50 % (28779)Termination phase: Saturation
% 1.73/1.50
% 1.73/1.50 % (28779)Memory used [KB]: 5756
% 1.73/1.50 % (28779)Time elapsed: 0.016 s
% 1.73/1.50 % (28779)Instructions burned: 39 (million)
% 1.73/1.50 % (28779)------------------------------
% 1.73/1.50 % (28779)------------------------------
% 1.73/1.50 % Exception at run slice level
% 1.73/1.50 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.51 % (28785)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/62Mi)
% 1.73/1.51 % (28784)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_28461 for (2997ds/432Mi)
% 1.73/1.51 % Exception at run slice level
% 1.73/1.51 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.51 % Exception at run slice level
% 1.73/1.51 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.52 % (28782)Instruction limit reached!
% 1.73/1.52 % (28782)------------------------------
% 1.73/1.52 % (28782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.52 % (28782)Termination reason: Unknown
% 1.73/1.52 % (28782)Termination phase: Saturation
% 1.73/1.52
% 1.73/1.52 % (28782)Memory used [KB]: 5884
% 1.73/1.52 % (28782)Time elapsed: 0.019 s
% 1.73/1.52 % (28782)Instructions burned: 49 (million)
% 1.73/1.52 % (28782)------------------------------
% 1.73/1.52 % (28782)------------------------------
% 1.73/1.52 % (28786)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_28461 for (2997ds/31Mi)
% 1.73/1.52 % (28787)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/96Mi)
% 1.73/1.53 % (28788)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_28461 for (2997ds/453Mi)
% 1.73/1.53 % Exception at run slice level
% 1.73/1.53 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.53 % (28778)Instruction limit reached!
% 1.73/1.53 % (28778)------------------------------
% 1.73/1.53 % (28778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.53 % (28778)Termination reason: Unknown
% 1.73/1.53 % (28778)Termination phase: Saturation
% 1.73/1.53
% 1.73/1.53 % (28778)Memory used [KB]: 6396
% 1.73/1.53 % (28778)Time elapsed: 0.054 s
% 1.73/1.53 % (28778)Instructions burned: 151 (million)
% 1.73/1.53 % (28778)------------------------------
% 1.73/1.53 % (28778)------------------------------
% 1.73/1.53 % (28786)Instruction limit reached!
% 1.73/1.53 % (28786)------------------------------
% 1.73/1.53 % (28786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.53 % (28786)Termination reason: Unknown
% 1.73/1.53 % (28786)Termination phase: Saturation
% 1.73/1.53
% 1.73/1.53 % (28786)Memory used [KB]: 5756
% 1.73/1.53 % (28786)Time elapsed: 0.012 s
% 1.73/1.53 % (28786)Instructions burned: 31 (million)
% 1.73/1.53 % (28786)------------------------------
% 1.73/1.53 % (28786)------------------------------
% 1.73/1.54 % (28789)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_28461 for (2997ds/71Mi)
% 1.73/1.54 % (28791)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/11Mi)
% 1.73/1.54 % (28790)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/83Mi)
% 1.73/1.54 % Exception at run slice level
% 1.73/1.54 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.55 % (28792)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_28461 for (2997ds/41Mi)
% 1.73/1.55 % Exception at run slice level
% 1.73/1.55 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.56 % (28787)Instruction limit reached!
% 1.73/1.56 % (28787)------------------------------
% 1.73/1.56 % (28787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.56 % (28787)Termination reason: Unknown
% 1.73/1.56 % (28787)Termination phase: Saturation
% 1.73/1.56
% 1.73/1.56 % (28787)Memory used [KB]: 5884
% 1.73/1.56 % (28787)Time elapsed: 0.036 s
% 1.73/1.56 % (28787)Instructions burned: 97 (million)
% 1.73/1.56 % (28787)------------------------------
% 1.73/1.56 % (28787)------------------------------
% 1.73/1.56 % (28793)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/6Mi)
% 1.73/1.57 % (28793)Instruction limit reached!
% 1.73/1.57 % (28793)------------------------------
% 1.73/1.57 % (28793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (28793)Termination reason: Unknown
% 1.73/1.57 % (28793)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (28793)Memory used [KB]: 5500
% 1.73/1.57 % (28793)Time elapsed: 0.003 s
% 1.73/1.57 % (28793)Instructions burned: 6 (million)
% 1.73/1.57 % (28793)------------------------------
% 1.73/1.57 % (28793)------------------------------
% 1.73/1.57 % (28789)Instruction limit reached!
% 1.73/1.57 % (28789)------------------------------
% 1.73/1.57 % (28789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (28789)Termination reason: Unknown
% 1.73/1.57 % (28789)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (28789)Memory used [KB]: 6140
% 1.73/1.57 % (28789)Time elapsed: 0.028 s
% 1.73/1.57 % (28789)Instructions burned: 72 (million)
% 1.73/1.57 % (28789)------------------------------
% 1.73/1.57 % (28789)------------------------------
% 1.73/1.57 % (28794)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/150Mi)
% 1.73/1.57 % (28790)Instruction limit reached!
% 1.73/1.57 % (28790)------------------------------
% 1.73/1.57 % (28790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (28790)Termination reason: Unknown
% 1.73/1.57 % (28790)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (28790)Memory used [KB]: 6012
% 1.73/1.57 % (28790)Time elapsed: 0.031 s
% 1.73/1.57 % (28790)Instructions burned: 84 (million)
% 1.73/1.57 % (28790)------------------------------
% 1.73/1.57 % (28790)------------------------------
% 1.73/1.57 % (28795)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/343Mi)
% 1.73/1.58 % (28796)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_28461 for (2997ds/109Mi)
% 1.73/1.58 % (28797)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_28461 for (2997ds/253Mi)
% 1.73/1.59 % (28797)Refutation not found, incomplete strategy
% 1.73/1.59 % (28797)------------------------------
% 1.73/1.59 % (28797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.59 % (28797)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.59
% 1.73/1.59
% 1.73/1.59 % (28797)Memory used [KB]: 5628
% 1.73/1.59 % (28797)Time elapsed: 0.004 s
% 1.73/1.59 % (28797)Instructions burned: 6 (million)
% 1.73/1.59 % (28797)------------------------------
% 1.73/1.59 % (28797)------------------------------
% 1.73/1.59 % (28754)Instruction limit reached!
% 1.73/1.59 % (28754)------------------------------
% 1.73/1.59 % (28754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.59 % (28754)Termination reason: Unknown
% 1.73/1.59 % (28754)Termination phase: Saturation
% 1.73/1.59
% 1.73/1.59 % (28754)Memory used [KB]: 7291
% 1.73/1.59 % (28754)Time elapsed: 0.248 s
% 1.73/1.59 % (28754)Instructions burned: 710 (million)
% 1.73/1.59 % (28754)------------------------------
% 1.73/1.59 % (28754)------------------------------
% 1.73/1.60 % (28798)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_28461 for (2997ds/140Mi)
% 1.73/1.60 % (28799)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_28461 for (2997ds/614Mi)
% 1.73/1.62 % (28796)Instruction limit reached!
% 1.73/1.62 % (28796)------------------------------
% 1.73/1.62 % (28796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.62 % (28796)Termination reason: Unknown
% 1.73/1.62 % (28796)Termination phase: Saturation
% 1.73/1.62
% 1.73/1.62 % (28796)Memory used [KB]: 6140
% 1.73/1.62 % (28796)Time elapsed: 0.062 s
% 1.73/1.62 % (28796)Instructions burned: 111 (million)
% 1.73/1.62 % (28796)------------------------------
% 1.73/1.62 % (28796)------------------------------
% 1.73/1.62 % (28794)Instruction limit reached!
% 1.73/1.62 % (28794)------------------------------
% 1.73/1.62 % (28794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.62 % (28794)Termination reason: Unknown
% 1.73/1.62 % (28794)Termination phase: Saturation
% 1.73/1.62
% 1.73/1.62 % (28794)Memory used [KB]: 6140
% 1.73/1.62 % (28794)Time elapsed: 0.053 s
% 1.73/1.62 % (28794)Instructions burned: 150 (million)
% 1.73/1.62 % (28794)------------------------------
% 1.73/1.62 % (28794)------------------------------
% 1.73/1.63 % (28800)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_28461 for (2996ds/202Mi)
% 1.73/1.63 % (28800)Refutation not found, incomplete strategy
% 1.73/1.63 % (28800)------------------------------
% 1.73/1.63 % (28800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.63 % (28800)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.63
% 1.73/1.63
% 1.73/1.63 % (28800)Memory used [KB]: 5500
% 1.73/1.63 % (28800)Time elapsed: 0.003 s
% 1.73/1.63 % (28800)Instructions burned: 4 (million)
% 1.73/1.63 % (28800)------------------------------
% 1.73/1.63 % (28800)------------------------------
% 1.73/1.63 % (28801)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_28461 for (2996ds/339Mi)
% 1.73/1.64 % (28802)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_28461 for (2996ds/283Mi)
% 1.73/1.64 % Exception at run slice level
% 1.73/1.64 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.65 % (28798)Instruction limit reached!
% 1.73/1.65 % (28798)------------------------------
% 1.73/1.65 % (28798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.65 % (28798)Termination reason: Unknown
% 1.73/1.65 % (28798)Termination phase: Saturation
% 1.73/1.65
% 1.73/1.65 % (28798)Memory used [KB]: 6396
% 1.73/1.65 % (28798)Time elapsed: 0.075 s
% 1.73/1.65 % (28798)Instructions burned: 140 (million)
% 1.73/1.65 % (28798)------------------------------
% 1.73/1.65 % (28798)------------------------------
% 1.73/1.65 % (28803)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_28461 for (2996ds/134Mi)
% 1.73/1.66 % (28804)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_28461 for (2996ds/298Mi)
% 1.73/1.66 % Exception at run slice level
% 1.73/1.66 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.73/1.67 % (28805)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_28461 for (2996ds/192Mi)
% 1.73/1.68 % (28801)First to succeed.
% 1.73/1.68 % (28801)Refutation found. Thanks to Tanya!
% 1.73/1.68 % SZS status Theorem for DTF2THF_28461
% 1.73/1.68 % SZS output start Proof for DTF2THF_28461
% 1.73/1.68 thf(type_def_6, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 1.73/1.68 thf(type_def_7, type, sK0: $tType).
% 1.73/1.68 thf(type_def_8, type, sK1: $tType).
% 1.73/1.68 thf(type_def_9, type, sK2: $tType).
% 1.73/1.68 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 1.73/1.68 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 1.73/1.68 thf(func_def_2, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 1.73/1.68 thf(func_def_3, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.73/1.68 thf(func_def_4, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 1.73/1.68 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.73/1.68 thf(func_def_6, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 1.73/1.68 thf(func_def_7, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 1.73/1.68 thf(func_def_8, type, c_2Ebool_2ECOND: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 1.73/1.68 thf(func_def_10, type, c_2Eoption_2EIS__SOME: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > $o)).
% 1.73/1.68 thf(func_def_11, type, c_2Eoption_2ENONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0)).
% 1.73/1.68 thf(func_def_12, type, c_2Eoption_2EOPTION__MAP2: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2 > X0) > tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X2 > tyop_2Eoption_2Eoption @ X0)).
% 1.73/1.68 thf(func_def_13, type, c_2Eoption_2ESOME: !>[X0: $tType]:(X0 > tyop_2Eoption_2Eoption @ X0)).
% 1.73/1.68 thf(func_def_15, type, c_2Eoption_2ETHE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > X0)).
% 1.73/1.68 thf(func_def_16, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 1.73/1.68 thf(func_def_17, type, c_2Ebool_2E_7E: $o > $o).
% 1.73/1.68 thf(func_def_22, type, sK3: sK2).
% 1.73/1.68 thf(func_def_23, type, sK4: sK1).
% 1.73/1.68 thf(func_def_24, type, sK5: sK1 > sK2 > sK0).
% 1.73/1.68 thf(func_def_25, type, sP6: tyop_2Eoption_2Eoption @ sK0 > $o).
% 1.73/1.68 thf(func_def_26, type, sP7: tyop_2Eoption_2Eoption @ sK0 > $o).
% 1.73/1.68 thf(func_def_27, type, sP8: tyop_2Eoption_2Eoption @ sK0 > $o).
% 1.73/1.68 thf(func_def_28, type, sP9: tyop_2Eoption_2Eoption @ sK0 > $o).
% 1.73/1.68 thf(func_def_30, type, ph11: !>[X0: $tType]:(X0)).
% 1.73/1.68 thf(f551,plain,(
% 1.73/1.68 $false),
% 1.73/1.68 inference(avatar_sat_refutation,[status(thm)],[f200,f225,f230,f238,f331,f340,f341,f342,f346,f350,f353,f365,f367,f371,f426,f496,f511,f547,f550])).
% 1.73/1.68 thf(f550,plain,(
% 1.73/1.68 ~spl10_1 | ~spl10_8 | ~spl10_11 | ~spl10_27),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f549])).
% 1.73/1.68 thf(f549,plain,(
% 1.73/1.68 $false | (~spl10_1 | ~spl10_8 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f548])).
% 1.73/1.68 thf(f548,plain,(
% 1.73/1.68 ($false = $true) | (~spl10_1 | ~spl10_8 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f224,f529])).
% 1.73/1.68 thf(f529,plain,(
% 1.73/1.68 ((sP6 @ c_2Eoption_2ENONE @ sK0) = $false) | (~spl10_1 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f528])).
% 1.73/1.68 thf(f528,plain,(
% 1.73/1.68 ($false = $true) | ((sP6 @ c_2Eoption_2ENONE @ sK0) = $false) | (~spl10_1 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f527,f195])).
% 1.73/1.68 thf(f195,plain,(
% 1.73/1.68 ( ! [X0 : $tType] : (((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0) = $false)) ) | ~spl10_1),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f194])).
% 1.73/1.68 thf(f194,definition,(
% 1.73/1.68 spl10_1 <=> ! [X0 : $tType] : ((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0) = $false)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_1])],[avatar_definition])).
% 1.73/1.68 thf(f527,plain,(
% 1.73/1.68 ((sP6 @ c_2Eoption_2ENONE @ sK0) = $false) | ($true = (c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1)) | (~spl10_1 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f526])).
% 1.73/1.68 thf(f526,plain,(
% 1.73/1.68 ($false = $true) | ($true = (c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1)) | ((sP6 @ c_2Eoption_2ENONE @ sK0) = $false) | (~spl10_1 | ~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f517,f195])).
% 1.73/1.68 thf(f517,plain,(
% 1.73/1.68 ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2) = $true) | ($true = (c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1)) | ((sP6 @ c_2Eoption_2ENONE @ sK0) = $false) | (~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(superposition,[status(thm)],[f92,f515])).
% 1.73/1.68 thf(f515,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : ((c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5))) ) | (~spl10_11 | ~spl10_27)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f305,f237])).
% 1.73/1.68 thf(f237,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((c_2Ebool_2ECOND @ X0 @ $false @ X1 @ X2) = X2)) ) | ~spl10_11),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f236])).
% 1.73/1.68 thf(f236,definition,(
% 1.73/1.68 spl10_11 <=> ! [X0 : $tType,X2 : X0,X1 : X0] : ((c_2Ebool_2ECOND @ X0 @ $false @ X1 @ X2) = X2)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_11])],[avatar_definition])).
% 1.73/1.68 thf(f305,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) ) | ~spl10_27),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f304])).
% 1.73/1.68 thf(f304,definition,(
% 1.73/1.68 spl10_27 <=> ! [X1 : $tType,X2 : $tType,X0 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)) | ($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_27])],[avatar_definition])).
% 1.73/1.68 thf(f92,plain,(
% 1.73/1.68 ($false = (sP6 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ c_2Eoption_2ENONE @ sK2)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[sP6])],[inequality_splitting_name_introduction])).
% 1.73/1.68 thf(f224,plain,(
% 1.73/1.68 ((sP6 @ c_2Eoption_2ENONE @ sK0) = $true) | ~spl10_8),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f222])).
% 1.73/1.68 thf(f222,definition,(
% 1.73/1.68 spl10_8 <=> ((sP6 @ c_2Eoption_2ENONE @ sK0) = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_8])],[avatar_definition])).
% 1.73/1.68 thf(f547,plain,(
% 1.73/1.68 ~spl10_7 | ~spl10_13 | spl10_30),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f546])).
% 1.73/1.68 thf(f546,plain,(
% 1.73/1.68 $false | (~spl10_7 | ~spl10_13 | spl10_30)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f545])).
% 1.73/1.68 thf(f545,plain,(
% 1.73/1.68 ($false = $true) | (~spl10_7 | ~spl10_13 | spl10_30)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f544,f95])).
% 1.73/1.68 thf(f95,plain,(
% 1.73/1.68 ($false = (sP9 @ (c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ sK3))))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[sP9])],[inequality_splitting_name_introduction])).
% 1.73/1.68 thf(f544,plain,(
% 1.73/1.68 ((sP9 @ (c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ sK3))) = $true) | (~spl10_7 | ~spl10_13 | spl10_30)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f543,f83])).
% 1.73/1.68 thf(f83,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X1 : X0] : (((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1)) = X1)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f43])).
% 1.73/1.68 thf(f43,plain,(
% 1.73/1.68 ! [X0 : $tType,X1 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1)) = X1)),
% 1.73/1.68 inference(rectify,[status(thm)],[f14])).
% 1.73/1.68 thf(f14,axiom,(
% 1.73/1.68 ! [X0 : $tType,X8 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X8)) = X8)),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Eoption_2ETHE__DEF)).
% 1.73/1.68 thf(f543,plain,(
% 1.73/1.68 ($true = (sP9 @ (c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ (c_2Eoption_2ETHE @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3)))))) | (~spl10_7 | ~spl10_13 | spl10_30)),
% 1.73/1.68 inference(subsumption_resolution,[status(thm)],[f540,f499])).
% 1.73/1.68 thf(f499,plain,(
% 1.73/1.68 ($false != (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | spl10_30),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f498])).
% 1.73/1.68 thf(f498,definition,(
% 1.73/1.68 spl10_30 <=> ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_30])],[avatar_definition])).
% 1.73/1.68 thf(f540,plain,(
% 1.73/1.68 ($true = (sP9 @ (c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ (c_2Eoption_2ETHE @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3)))))) | ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (~spl10_7 | ~spl10_13)),
% 1.73/1.68 inference(superposition,[status(thm)],[f220,f384])).
% 1.73/1.68 thf(f384,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X3 : $tType,X2 : $tType,X1 : X0,X4 : X0 > X3 > X2,X5 : tyop_2Eoption_2Eoption @ X3] : (((c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X0 @ X1) @ X5) = (c_2Eoption_2ESOME @ X2 @ (X4 @ X1 @ (c_2Eoption_2ETHE @ X3 @ X5)))) | ($false = (c_2Eoption_2EIS__SOME @ X3 @ X5))) ) | ~spl10_13),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f383,f91])).
% 1.73/1.68 thf(f91,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((c_2Ebool_2ECOND @ X0 @ $true @ X1 @ X2) = X1)) )),
% 1.73/1.68 inference(definition_unfolding,[status(thm)],[f78,f54])).
% 1.73/1.68 thf(f54,plain,(
% 1.73/1.68 (c_2Ebool_2ET = $true)),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f30])).
% 1.73/1.68 thf(f30,plain,(
% 1.73/1.68 (c_2Ebool_2ET = $true)),
% 1.73/1.68 inference(fool_elimination,[status(thm)],[f29])).
% 1.73/1.68 thf(f29,plain,(
% 1.73/1.68 c_2Ebool_2ET),
% 1.73/1.68 inference(rectify,[status(thm)],[f8])).
% 1.73/1.68 thf(f8,axiom,(
% 1.73/1.68 c_2Ebool_2ET),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Ebool_2ETRUTH)).
% 1.73/1.68 thf(f78,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2) = X1)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f44])).
% 1.73/1.68 thf(f44,plain,(
% 1.73/1.68 ! [X0 : $tType,X1 : X0,X2 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2) = X2) & ((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2) = X1))),
% 1.73/1.68 inference(rectify,[status(thm)],[f11])).
% 1.73/1.68 thf(f11,axiom,(
% 1.73/1.68 ! [X0 : $tType,X9 : X0,X10 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X9 @ X10) = X10) & ((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X9 @ X10) = X9))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Ebool_2ECOND__CLAUSES)).
% 1.73/1.68 thf(f383,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X3 : $tType,X2 : $tType,X1 : X0,X4 : X0 > X3 > X2,X5 : tyop_2Eoption_2Eoption @ X3] : (($false = (c_2Eoption_2EIS__SOME @ X3 @ X5)) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ $true @ (c_2Eoption_2ESOME @ X2 @ (X4 @ X1 @ (c_2Eoption_2ETHE @ X3 @ X5))) @ c_2Eoption_2ENONE @ X2) = (c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X0 @ X1) @ X5))) ) | ~spl10_13),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f382])).
% 1.73/1.68 thf(f382,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X3 : $tType,X2 : $tType,X1 : X0,X4 : X0 > X3 > X2,X5 : tyop_2Eoption_2Eoption @ X3] : (($false = (c_2Eoption_2EIS__SOME @ X3 @ X5)) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ $true @ (c_2Eoption_2ESOME @ X2 @ (X4 @ X1 @ (c_2Eoption_2ETHE @ X3 @ X5))) @ c_2Eoption_2ENONE @ X2) = (c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X0 @ X1) @ X5)) | ($false = $true)) ) | ~spl10_13),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f376,f84])).
% 1.73/1.68 thf(f84,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X1 : X0] : (((c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1)) = $true)) )),
% 1.73/1.68 inference(definition_unfolding,[status(thm)],[f57,f54])).
% 1.73/1.68 thf(f57,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X1 : X0] : ((c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1)))) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f40])).
% 1.73/1.68 thf(f40,plain,(
% 1.73/1.68 ! [X0 : $tType] : (! [X1 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.73/1.68 inference(rectify,[status(thm)],[f13])).
% 1.73/1.68 thf(f13,axiom,(
% 1.73/1.68 ! [X0 : $tType] : (! [X8 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X8))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Eoption_2EIS__SOME__DEF)).
% 1.73/1.68 thf(f376,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X3 : $tType,X2 : $tType,X1 : X0,X4 : X0 > X3 > X2,X5 : tyop_2Eoption_2Eoption @ X3] : (($false = (c_2Eoption_2EIS__SOME @ X3 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X2 @ $true @ (c_2Eoption_2ESOME @ X2 @ (X4 @ X1 @ (c_2Eoption_2ETHE @ X3 @ X5))) @ c_2Eoption_2ENONE @ X2) = (c_2Eoption_2EOPTION__MAP2 @ X2 @ X0 @ X3 @ X4 @ (c_2Eoption_2ESOME @ X0 @ X1) @ X5))) ) | ~spl10_13),
% 1.73/1.68 inference(superposition,[status(thm)],[f245,f83])).
% 1.73/1.68 thf(f245,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0) = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4))) ) | ~spl10_13),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f244])).
% 1.73/1.68 thf(f244,definition,(
% 1.73/1.68 spl10_13 <=> ! [X1 : $tType,X2 : $tType,X0 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0) = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_13])],[avatar_definition])).
% 1.73/1.68 thf(f220,plain,(
% 1.73/1.68 ((sP9 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3))) = $true) | ~spl10_7),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f218])).
% 1.73/1.68 thf(f218,definition,(
% 1.73/1.68 spl10_7 <=> ((sP9 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3))) = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_7])],[avatar_definition])).
% 1.73/1.68 thf(f511,plain,(
% 1.73/1.68 ~spl10_30),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f510])).
% 1.73/1.68 thf(f510,plain,(
% 1.73/1.68 $false | ~spl10_30),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f507])).
% 1.73/1.68 thf(f507,plain,(
% 1.73/1.68 ($false = $true) | ~spl10_30),
% 1.73/1.68 inference(superposition,[status(thm)],[f84,f500])).
% 1.73/1.68 thf(f500,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | ~spl10_30),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f498])).
% 1.73/1.68 thf(f496,plain,(
% 1.73/1.68 ~spl10_1 | ~spl10_6 | ~spl10_11 | ~spl10_23),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f495])).
% 1.73/1.68 thf(f495,plain,(
% 1.73/1.68 $false | (~spl10_1 | ~spl10_6 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f491])).
% 1.73/1.68 thf(f491,plain,(
% 1.73/1.68 ($false = $true) | (~spl10_1 | ~spl10_6 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(superposition,[status(thm)],[f472,f84])).
% 1.73/1.68 thf(f472,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (~spl10_1 | ~spl10_6 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f471])).
% 1.73/1.68 thf(f471,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | ($false = $true) | (~spl10_1 | ~spl10_6 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f470,f216])).
% 1.73/1.68 thf(f216,plain,(
% 1.73/1.68 ((sP7 @ c_2Eoption_2ENONE @ sK0) = $true) | ~spl10_6),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f214])).
% 1.73/1.68 thf(f214,definition,(
% 1.73/1.68 spl10_6 <=> ((sP7 @ c_2Eoption_2ENONE @ sK0) = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_6])],[avatar_definition])).
% 1.73/1.68 thf(f470,plain,(
% 1.73/1.68 ($false = (sP7 @ c_2Eoption_2ENONE @ sK0)) | ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (~spl10_1 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f469])).
% 1.73/1.68 thf(f469,plain,(
% 1.73/1.68 ($false = $true) | ($false = (sP7 @ c_2Eoption_2ENONE @ sK0)) | ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (~spl10_1 | ~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f463,f195])).
% 1.73/1.68 thf(f463,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK2 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | ($true = (c_2Eoption_2EIS__SOME @ sK1 @ c_2Eoption_2ENONE @ sK1)) | ($false = (sP7 @ c_2Eoption_2ENONE @ sK0)) | (~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(superposition,[status(thm)],[f93,f460])).
% 1.73/1.68 thf(f460,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : ((c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ($true = (c_2Eoption_2EIS__SOME @ X1 @ X4))) ) | (~spl10_11 | ~spl10_23)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f289,f237])).
% 1.73/1.68 thf(f289,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ($true = (c_2Eoption_2EIS__SOME @ X1 @ X4))) ) | ~spl10_23),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f288])).
% 1.73/1.68 thf(f288,definition,(
% 1.73/1.68 spl10_23 <=> ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_23])],[avatar_definition])).
% 1.73/1.68 thf(f93,plain,(
% 1.73/1.68 ($false = (sP7 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ (c_2Eoption_2ESOME @ sK2 @ sK3))))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[sP7])],[inequality_splitting_name_introduction])).
% 1.73/1.68 thf(f426,plain,(
% 1.73/1.68 ~spl10_1 | ~spl10_5 | ~spl10_11 | ~spl10_19),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f425])).
% 1.73/1.68 thf(f425,plain,(
% 1.73/1.68 $false | (~spl10_1 | ~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f421])).
% 1.73/1.68 thf(f421,plain,(
% 1.73/1.68 ($false = $true) | (~spl10_1 | ~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(superposition,[status(thm)],[f419,f84])).
% 1.73/1.68 thf(f419,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK1 @ (c_2Eoption_2ESOME @ sK1 @ sK4))) | (~spl10_1 | ~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f418])).
% 1.73/1.68 thf(f418,plain,(
% 1.73/1.68 ($false = (c_2Eoption_2EIS__SOME @ sK1 @ (c_2Eoption_2ESOME @ sK1 @ sK4))) | ($false = $true) | (~spl10_1 | ~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f417,f195])).
% 1.73/1.68 thf(f417,plain,(
% 1.73/1.68 ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2) = $true) | ($false = (c_2Eoption_2EIS__SOME @ sK1 @ (c_2Eoption_2ESOME @ sK1 @ sK4))) | (~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f416])).
% 1.73/1.68 thf(f416,plain,(
% 1.73/1.68 ($false = $true) | ($false = (c_2Eoption_2EIS__SOME @ sK1 @ (c_2Eoption_2ESOME @ sK1 @ sK4))) | ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2) = $true) | (~spl10_5 | ~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f412,f212])).
% 1.73/1.68 thf(f212,plain,(
% 1.73/1.68 ($true = (sP8 @ c_2Eoption_2ENONE @ sK0)) | ~spl10_5),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f210])).
% 1.73/1.68 thf(f210,definition,(
% 1.73/1.68 spl10_5 <=> ($true = (sP8 @ c_2Eoption_2ENONE @ sK0))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_5])],[avatar_definition])).
% 1.73/1.68 thf(f412,plain,(
% 1.73/1.68 ((c_2Eoption_2EIS__SOME @ sK2 @ c_2Eoption_2ENONE @ sK2) = $true) | ($false = (c_2Eoption_2EIS__SOME @ sK1 @ (c_2Eoption_2ESOME @ sK1 @ sK4))) | ($false = (sP8 @ c_2Eoption_2ENONE @ sK0)) | (~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(superposition,[status(thm)],[f94,f406])).
% 1.73/1.68 thf(f406,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : ((c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5))) ) | (~spl10_11 | ~spl10_19)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f269,f237])).
% 1.73/1.68 thf(f269,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5))) ) | ~spl10_19),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f268])).
% 1.73/1.68 thf(f268,definition,(
% 1.73/1.68 spl10_19 <=> ! [X1 : $tType,X2 : $tType,X0 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_19])],[avatar_definition])).
% 1.73/1.68 thf(f94,plain,(
% 1.73/1.68 ($false = (sP8 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ c_2Eoption_2ENONE @ sK2)))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[sP8])],[inequality_splitting_name_introduction])).
% 1.73/1.68 thf(f371,plain,(
% 1.73/1.68 ~spl10_22),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f370])).
% 1.73/1.68 thf(f370,plain,(
% 1.73/1.68 $false | ~spl10_22),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f368])).
% 1.73/1.68 thf(f368,plain,(
% 1.73/1.68 ($true != $true) | ($false = $true) | ~spl10_22),
% 1.73/1.68 inference(superposition,[status(thm)],[f82,f286])).
% 1.73/1.68 thf(f286,plain,(
% 1.73/1.68 ($true = (c_2Ebool_2E_2F_5C @ $false @ $true)) | ~spl10_22),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f284])).
% 1.73/1.68 thf(f284,definition,(
% 1.73/1.68 spl10_22 <=> ($true = (c_2Ebool_2E_2F_5C @ $false @ $true))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_22])],[avatar_definition])).
% 1.73/1.68 thf(f82,plain,(
% 1.73/1.68 ( ! [X0 : $o,X1 : $o] : (($true != (c_2Ebool_2E_2F_5C @ X0 @ X1)) | ($true = X0)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f53])).
% 1.73/1.68 thf(f53,plain,(
% 1.73/1.68 ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != (c_2Ebool_2E_2F_5C @ X0 @ X1))) & (($true = (c_2Ebool_2E_2F_5C @ X0 @ X1)) | ($true != X0) | ($true != X1)))),
% 1.73/1.68 inference(flattening,[status(thm)],[f52])).
% 1.73/1.68 thf(f52,plain,(
% 1.73/1.68 ! [X0 : $o,X1 : $o] : (((($true = X0) & ($true = X1)) | ($true != (c_2Ebool_2E_2F_5C @ X0 @ X1))) & (($true = (c_2Ebool_2E_2F_5C @ X0 @ X1)) | (($true != X0) | ($true != X1))))),
% 1.73/1.68 inference(nnf_transformation,[status(thm)],[f34])).
% 1.73/1.68 thf(f34,plain,(
% 1.73/1.68 ! [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <=> ($true = (c_2Ebool_2E_2F_5C @ X0 @ X1)))),
% 1.73/1.68 inference(fool_elimination,[status(thm)],[f33])).
% 1.73/1.68 thf(f33,plain,(
% 1.73/1.68 ! [X0 : $o,X1 : $o] : ((c_2Ebool_2E_2F_5C @ X0 @ X1) <=> (X0 & X1))),
% 1.73/1.68 inference(rectify,[status(thm)],[f1])).
% 1.73/1.68 thf(f1,axiom,(
% 1.73/1.68 ! [X3 : $o,X4 : $o] : ((c_2Ebool_2E_2F_5C @ X3 @ X4) <=> (X3 & X4))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',logicdef_2E_2F_5C)).
% 1.73/1.68 thf(f367,plain,(
% 1.73/1.68 ~spl10_18),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f366])).
% 1.73/1.68 thf(f366,plain,(
% 1.73/1.68 $false | ~spl10_18),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f362])).
% 1.73/1.68 thf(f362,plain,(
% 1.73/1.68 ($true != $true) | ($false = $true) | ~spl10_18),
% 1.73/1.68 inference(superposition,[status(thm)],[f81,f266])).
% 1.73/1.68 thf(f266,plain,(
% 1.73/1.68 ((c_2Ebool_2E_2F_5C @ $true @ $false) = $true) | ~spl10_18),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f264])).
% 1.73/1.68 thf(f264,definition,(
% 1.73/1.68 spl10_18 <=> ((c_2Ebool_2E_2F_5C @ $true @ $false) = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_18])],[avatar_definition])).
% 1.73/1.68 thf(f81,plain,(
% 1.73/1.68 ( ! [X0 : $o,X1 : $o] : (($true != (c_2Ebool_2E_2F_5C @ X0 @ X1)) | ($true = X1)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f53])).
% 1.73/1.68 thf(f365,plain,(
% 1.73/1.68 ~spl10_26),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f364])).
% 1.73/1.68 thf(f364,plain,(
% 1.73/1.68 $false | ~spl10_26),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f360])).
% 1.73/1.68 thf(f360,plain,(
% 1.73/1.68 ($false = $true) | ($true != $true) | ~spl10_26),
% 1.73/1.68 inference(superposition,[status(thm)],[f81,f302])).
% 1.73/1.68 thf(f302,plain,(
% 1.73/1.68 ($true = (c_2Ebool_2E_2F_5C @ $false @ $false)) | ~spl10_26),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f300])).
% 1.73/1.68 thf(f300,definition,(
% 1.73/1.68 spl10_26 <=> ($true = (c_2Ebool_2E_2F_5C @ $false @ $false))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_26])],[avatar_definition])).
% 1.73/1.68 thf(f353,plain,(
% 1.73/1.68 ~spl10_12 | ~spl10_14),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f352])).
% 1.73/1.68 thf(f352,plain,(
% 1.73/1.68 $false | (~spl10_12 | ~spl10_14)),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f351])).
% 1.73/1.68 thf(f351,plain,(
% 1.73/1.68 ($false = $true) | (~spl10_12 | ~spl10_14)),
% 1.73/1.68 inference(forward_demodulation,[status(thm)],[f250,f242])).
% 1.73/1.68 thf(f242,plain,(
% 1.73/1.68 ($false = (c_2Ebool_2E_2F_5C @ $true @ $true)) | ~spl10_12),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f240])).
% 1.73/1.68 thf(f240,definition,(
% 1.73/1.68 spl10_12 <=> ($false = (c_2Ebool_2E_2F_5C @ $true @ $true))),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_12])],[avatar_definition])).
% 1.73/1.68 thf(f250,plain,(
% 1.73/1.68 ((c_2Ebool_2E_2F_5C @ $true @ $true) = $true) | ~spl10_14),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f248])).
% 1.73/1.68 thf(f248,definition,(
% 1.73/1.68 spl10_14 <=> ((c_2Ebool_2E_2F_5C @ $true @ $true) = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_14])],[avatar_definition])).
% 1.73/1.68 thf(f350,plain,(
% 1.73/1.68 spl10_14),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f110,f248])).
% 1.73/1.68 thf(f110,plain,(
% 1.73/1.68 ((c_2Ebool_2E_2F_5C @ $true @ $true) = $true)),
% 1.73/1.68 inference(equality_resolution,[status(thm)],[f109])).
% 1.73/1.68 thf(f109,plain,(
% 1.73/1.68 ( ! [X1 : $o] : (((c_2Ebool_2E_2F_5C @ $true @ X1) = $true) | ($true != X1)) )),
% 1.73/1.68 inference(equality_resolution,[status(thm)],[f80])).
% 1.73/1.68 thf(f80,plain,(
% 1.73/1.68 ( ! [X0 : $o,X1 : $o] : (($true = (c_2Ebool_2E_2F_5C @ X0 @ X1)) | ($true != X0) | ($true != X1)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f53])).
% 1.73/1.68 thf(f346,plain,(
% 1.73/1.68 ~spl10_9),
% 1.73/1.68 inference(avatar_contradiction_clause,[status(thm)],[f345])).
% 1.73/1.68 thf(f345,plain,(
% 1.73/1.68 $false | ~spl10_9),
% 1.73/1.68 inference(trivial_inequality_removal,[status(thm)],[f344])).
% 1.73/1.68 thf(f344,plain,(
% 1.73/1.68 ($false = $true) | ~spl10_9),
% 1.73/1.68 inference(superposition,[status(thm)],[f95,f228])).
% 1.73/1.68 thf(f228,plain,(
% 1.73/1.68 ( ! [X0 : $o] : (($true = X0)) ) | ~spl10_9),
% 1.73/1.68 inference(avatar_component_clause,[status(thm)],[f227])).
% 1.73/1.68 thf(f227,definition,(
% 1.73/1.68 spl10_9 <=> ! [X0 : $o] : ($true = X0)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_9])],[avatar_definition])).
% 1.73/1.68 thf(f342,plain,(
% 1.73/1.68 spl10_27 | spl10_26),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f122,f300,f304])).
% 1.73/1.68 thf(f122,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ($true = (c_2Ebool_2E_2F_5C @ $false @ $false)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f120])).
% 1.73/1.68 thf(f120,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ $false) = $true) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f116])).
% 1.73/1.68 thf(f116,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0)) | ((c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X2 @ X5)) = $true)) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f77])).
% 1.73/1.68 thf(f77,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X2 @ X5)) @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f42])).
% 1.73/1.68 thf(f42,plain,(
% 1.73/1.68 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X2 @ X5)) @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))),
% 1.73/1.68 inference(rectify,[status(thm)],[f15])).
% 1.73/1.68 thf(f15,axiom,(
% 1.73/1.68 ! [X0 : $tType,X1 : $tType,X2 : $tType,X5 : X1 > X2 > X0,X6 : tyop_2Eoption_2Eoption @ X1,X12 : tyop_2Eoption_2Eoption @ X2] : ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ X6 @ X12) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X6) @ (c_2Eoption_2EIS__SOME @ X2 @ X12)) @ (c_2Eoption_2ESOME @ X0 @ (X5 @ (c_2Eoption_2ETHE @ X1 @ X6) @ (c_2Eoption_2ETHE @ X2 @ X12))) @ c_2Eoption_2ENONE @ X0))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Eoption_2EOPTION__MAP2__DEF)).
% 1.73/1.68 thf(f341,plain,(
% 1.73/1.68 spl10_18 | spl10_19),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f121,f268,f264])).
% 1.73/1.68 thf(f121,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($true = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2E_2F_5C @ $true @ $false) = $true) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f120])).
% 1.73/1.68 thf(f340,plain,(
% 1.73/1.68 spl10_23 | spl10_22),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f124,f284,f288])).
% 1.73/1.68 thf(f124,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($true = (c_2Ebool_2E_2F_5C @ $false @ $true)) | ($true = (c_2Eoption_2EIS__SOME @ X1 @ X4)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f119])).
% 1.73/1.68 thf(f119,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ $true) = $true) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5) = (c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $false @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f116])).
% 1.73/1.68 thf(f331,plain,(
% 1.73/1.68 spl10_12 | spl10_13),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f135,f244,f240])).
% 1.73/1.68 thf(f135,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Ebool_2E_2F_5C @ $true @ $true)) | ($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0) = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Eoption_2EIS__SOME @ X1 @ X4))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f131])).
% 1.73/1.68 thf(f131,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Eoption_2EIS__SOME @ X2 @ X5)) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0) = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5)) | ($false = (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ $true))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f115])).
% 1.73/1.68 thf(f115,plain,(
% 1.73/1.68 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1 > X2 > X0,X4 : tyop_2Eoption_2Eoption @ X1,X5 : tyop_2Eoption_2Eoption @ X2] : (($false = (c_2Ebool_2E_2F_5C @ (c_2Eoption_2EIS__SOME @ X1 @ X4) @ (c_2Eoption_2EIS__SOME @ X2 @ X5))) | ((c_2Ebool_2ECOND @ tyop_2Eoption_2Eoption @ X0 @ $true @ (c_2Eoption_2ESOME @ X0 @ (X3 @ (c_2Eoption_2ETHE @ X1 @ X4) @ (c_2Eoption_2ETHE @ X2 @ X5))) @ c_2Eoption_2ENONE @ X0) = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5))) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f77])).
% 1.73/1.68 thf(f238,plain,(
% 1.73/1.68 spl10_11 | spl10_2),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f190,f197,f236])).
% 1.73/1.68 thf(f197,definition,(
% 1.73/1.68 spl10_2 <=> (c_2Ebool_2EF = $true)),
% 1.73/1.68 introduced(definition,[new_symbols(naming,[spl10_2])],[avatar_definition])).
% 1.73/1.68 thf(f190,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X2 : X0,X1 : X0] : ((c_2Ebool_2EF = $true) | ((c_2Ebool_2ECOND @ X0 @ $false @ X1 @ X2) = X2)) )),
% 1.73/1.68 inference(cases_simplifying,[status(thm)],[f79])).
% 1.73/1.68 thf(f79,plain,(
% 1.73/1.68 ( ! [X0 : $tType,X2 : X0,X1 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2) = X2)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f44])).
% 1.73/1.68 thf(f230,plain,(
% 1.73/1.68 spl10_9 | ~spl10_2),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f63,f197,f227])).
% 1.73/1.68 thf(f63,plain,(
% 1.73/1.68 ( ! [X0 : $o] : (($true = X0) | (c_2Ebool_2EF != $true)) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f50])).
% 1.73/1.68 thf(f50,plain,(
% 1.73/1.68 ! [X0 : $o] : ((($true = X0) | (c_2Ebool_2ET != $true) | ($true != X0)) & (((c_2Ebool_2ET = $true) & ($true = X0)) | ($true != X0)) & ((c_2Ebool_2EF = $true) | ($true != X0) | (c_2Ebool_2EF != $true)) & ((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | ($true != X0) | (c_2Ebool_2ET != $true)) & ((c_2Ebool_2EF = $true) | (c_2Ebool_2EF != $true) | ($true != X0)) & (((c_2Ebool_2EF = $true) & ($true = X0)) | (c_2Ebool_2EF != $true)) & ((($true = X0) & ($true = X0)) | ($true != X0)) & (($true = X0) | ($true != X0) | ($true != X0)))),
% 1.73/1.68 inference(flattening,[status(thm)],[f49])).
% 1.73/1.68 thf(f49,plain,(
% 1.73/1.68 ! [X0 : $o] : (((($true = X0) | ((c_2Ebool_2ET != $true) | ($true != X0))) & (((c_2Ebool_2ET = $true) & ($true = X0)) | ($true != X0))) & (((c_2Ebool_2EF = $true) | (($true != X0) | (c_2Ebool_2EF != $true))) & ((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true))) & (((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | (($true != X0) | (c_2Ebool_2ET != $true)))) & (((c_2Ebool_2EF = $true) | ((c_2Ebool_2EF != $true) | ($true != X0))) & (((c_2Ebool_2EF = $true) & ($true = X0)) | (c_2Ebool_2EF != $true))) & (((($true = X0) & ($true = X0)) | ($true != X0)) & (($true = X0) | (($true != X0) | ($true != X0)))))),
% 1.73/1.68 inference(nnf_transformation,[status(thm)],[f24])).
% 1.73/1.68 thf(f24,plain,(
% 1.73/1.68 ! [X0 : $o] : ((($true = X0) <=> ((c_2Ebool_2ET = $true) & ($true = X0))) & ((c_2Ebool_2EF = $true) <=> (($true = X0) & (c_2Ebool_2EF = $true))) & ((($true = X0) & (c_2Ebool_2ET = $true)) <=> ($true = X0)) & ((c_2Ebool_2EF = $true) <=> ((c_2Ebool_2EF = $true) & ($true = X0))) & ((($true = X0) & ($true = X0)) <=> ($true = X0)))),
% 1.73/1.68 inference(fool_elimination,[status(thm)],[f23])).
% 1.73/1.68 thf(f23,plain,(
% 1.73/1.68 ! [X0 : $o] : (((X0 & c_2Ebool_2ET) <=> X0) & ((X0 & c_2Ebool_2EF) <=> c_2Ebool_2EF) & (X0 <=> (X0 & X0)) & ((c_2Ebool_2ET & X0) <=> X0) & (c_2Ebool_2EF <=> (X0 & c_2Ebool_2EF)))),
% 1.73/1.68 inference(rectify,[status(thm)],[f9])).
% 1.73/1.68 thf(f9,axiom,(
% 1.73/1.68 ! [X7 : $o] : (((X7 & c_2Ebool_2ET) <=> X7) & ((X7 & c_2Ebool_2EF) <=> c_2Ebool_2EF) & (X7 <=> (X7 & X7)) & ((c_2Ebool_2ET & X7) <=> X7) & (c_2Ebool_2EF <=> (X7 & c_2Ebool_2EF)))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Ebool_2EAND__CLAUSES)).
% 1.73/1.68 thf(f225,plain,(
% 1.73/1.68 spl10_5 | spl10_6 | spl10_7 | spl10_8),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f96,f222,f218,f214,f210])).
% 1.73/1.68 thf(f96,plain,(
% 1.73/1.68 ($true = (sP8 @ c_2Eoption_2ENONE @ sK0)) | ((sP6 @ c_2Eoption_2ENONE @ sK0) = $true) | ((sP9 @ (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3))) = $true) | ((sP7 @ c_2Eoption_2ENONE @ sK0) = $true)),
% 1.73/1.68 inference(inequality_splitting,[status(thm)],[f55,f95,f94,f93,f92])).
% 1.73/1.68 thf(f55,plain,(
% 1.73/1.68 (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ c_2Eoption_2ENONE @ sK2)) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ c_2Eoption_2ENONE @ sK2)) | ((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ sK3)) != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3)))),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f47])).
% 1.73/1.68 thf(f47,plain,(
% 1.73/1.68 (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ c_2Eoption_2ENONE @ sK2)) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ c_2Eoption_2ENONE @ sK2)) | ((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ sK3)) != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3)))),
% 1.73/1.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f45,f46])).
% 1.73/1.68 thf(f46,plain,(
% 1.73/1.68 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : X1,X5 : X1 > X2 > X0] : ((c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)) | (c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X3))) | (c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ c_2Eoption_2ENONE @ X2)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ (c_2Eoption_2ESOME @ X2 @ X3)) != (c_2Eoption_2ESOME @ X0 @ (X5 @ X4 @ X3)))) => ((c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ c_2Eoption_2ENONE @ sK2)) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ c_2Eoption_2ENONE @ sK1 @ (c_2Eoption_2ESOME @ sK2 @ sK3))) | (c_2Eoption_2ENONE @ sK0 != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ c_2Eoption_2ENONE @ sK2)) | ((c_2Eoption_2ESOME @ sK0 @ (sK5 @ sK4 @ sK3)) != (c_2Eoption_2EOPTION__MAP2 @ sK0 @ sK1 @ sK2 @ sK5 @ (c_2Eoption_2ESOME @ sK1 @ sK4) @ (c_2Eoption_2ESOME @ sK2 @ sK3))))),
% 1.73/1.68 introduced(definition,[],[choice_axiom])).
% 1.73/1.68 thf(f45,plain,(
% 1.73/1.68 ? [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : X1,X5 : X1 > X2 > X0] : ((c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)) | (c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X3))) | (c_2Eoption_2ENONE @ X0 != (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ c_2Eoption_2ENONE @ X2)) | ((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ (c_2Eoption_2ESOME @ X2 @ X3)) != (c_2Eoption_2ESOME @ X0 @ (X5 @ X4 @ X3))))),
% 1.73/1.68 inference(ennf_transformation,[status(thm)],[f39])).
% 1.73/1.68 thf(f39,plain,(
% 1.73/1.68 ~! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : X1,X5 : X1 > X2 > X0] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ (c_2Eoption_2ESOME @ X2 @ X3)) = (c_2Eoption_2ESOME @ X0 @ (X5 @ X4 @ X3))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ (c_2Eoption_2ESOME @ X1 @ X4) @ c_2Eoption_2ENONE @ X2)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X5 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X3))))),
% 1.73/1.68 inference(rectify,[status(thm)],[f17])).
% 1.73/1.68 thf(f17,negated_conjecture,(
% 1.73/1.68 ~! [X0 : $tType,X1 : $tType,X2 : $tType,X13 : X2,X6 : X1,X14 : X1 > X2 > X0] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ (c_2Eoption_2ESOME @ X1 @ X6) @ (c_2Eoption_2ESOME @ X2 @ X13)) = (c_2Eoption_2ESOME @ X0 @ (X14 @ X6 @ X13))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X13))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ (c_2Eoption_2ESOME @ X1 @ X6) @ c_2Eoption_2ENONE @ X2)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)))),
% 1.73/1.68 inference(negated_conjecture,[status(cth)],[f16])).
% 1.73/1.68 thf(f16,conjecture,(
% 1.73/1.68 ! [X0 : $tType,X1 : $tType,X2 : $tType,X13 : X2,X6 : X1,X14 : X1 > X2 > X0] : (((c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ (c_2Eoption_2ESOME @ X1 @ X6) @ (c_2Eoption_2ESOME @ X2 @ X13)) = (c_2Eoption_2ESOME @ X0 @ (X14 @ X6 @ X13))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ c_2Eoption_2ENONE @ X1 @ (c_2Eoption_2ESOME @ X2 @ X13))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ (c_2Eoption_2ESOME @ X1 @ X6) @ c_2Eoption_2ENONE @ X2)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__MAP2 @ X0 @ X1 @ X2 @ X14 @ c_2Eoption_2ENONE @ X1 @ c_2Eoption_2ENONE @ X2)))),
% 1.73/1.68 file('/export/starexec/sandbox/tmp/tmp.iSxNBVLMh0/DTF2THF_28461.p',thm_2Eoption_2EOPTION__MAP2__THM)).
% 1.73/1.68 thf(f200,plain,(
% 1.73/1.68 spl10_1 | spl10_2),
% 1.73/1.68 inference(avatar_split_clause,[status(thm)],[f191,f197,f194])).
% 1.73/1.68 thf(f191,plain,(
% 1.73/1.68 ( ! [X0 : $tType] : ((c_2Ebool_2EF = $true) | ((c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0) = $false)) )),
% 1.73/1.68 inference(binary_proxy_clausification,[status(thm)],[f56])).
% 1.73/1.68 thf(f56,plain,(
% 1.73/1.68 ( ! [X0 : $tType] : ((c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0))) )),
% 1.73/1.68 inference(cnf_transformation,[status(thm)],[f40])).
% 1.73/1.68 % SZS output end Proof for DTF2THF_28461
% 1.73/1.68 % (28801)------------------------------
% 1.73/1.68 % (28801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.68 % (28801)Termination reason: Refutation
% 1.73/1.68
% 1.73/1.68 % (28801)Memory used [KB]: 6012
% 1.73/1.68 % (28801)Time elapsed: 0.052 s
% 1.73/1.68 % (28801)Instructions burned: 139 (million)
% 1.73/1.68 % (28801)------------------------------
% 1.73/1.68 % (28801)------------------------------
% 1.73/1.68 % (28733)Success in time 0.398 s
%------------------------------------------------------------------------------