%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP011^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 08:53:24 AM UTC 2026
% Result : Theorem 7.68s 2.51s
% Output : Refutation 7.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP011^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Feb 24 08:19:30 EST 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.27/0.52 ---- Original DTF file ---
% 0.27/0.52 thf(spec,logic,$$dhol).
% 0.27/0.52 %------------------------------------------------------------------------------
% 0.27/0.52 % File : ITP011^3 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.27/0.52 % Domain : Interactive Theorem Proving
% 0.27/0.52 % Problem : HOL4 syntactic export of thm_2Equotient__option_2EOPTION__REL__def.p, bushy mode
% 0.27/0.52 % Version : [BG+19] axioms.
% 0.27/0.52 % English :
% 0.27/0.52
% 0.27/0.52 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.27/0.52 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.27/0.52 % Source : [BG+19]
% 0.27/0.52 % Names : thm_2Equotient__option_2EOPTION__REL__def.p [Gau19]
% 0.27/0.52 % : HL405001^3.p [TPAP]
% 0.27/0.52
% 0.27/0.52 % Status : Theorem
% 0.27/0.52 % Rating : 0.67 v9.1.0, 0.33 v8.1.0, 0.50 v7.5.0
% 0.27/0.52 % Syntax : Number of formulae : 40 ( 8 unt; 21 typ; 0 def)
% 0.27/0.52 % Number of atoms : 94 ( 36 equ; 10 cnn)
% 0.27/0.52 % Maximal formula atoms : 30 ( 4 avg)
% 0.27/0.52 % Number of connectives : 312 ( 10 ~; 7 |; 44 &; 211 @)
% 0.27/0.52 % ( 30 <=>; 10 =>; 0 <=; 0 <~>)
% 0.27/0.52 % Maximal formula depth : 26 ( 7 avg)
% 0.27/0.52 % Number of types : 2 ( 1 usr)
% 0.27/0.52 % Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% 0.27/0.52 % Number of symbols : 22 ( 20 usr; 3 con; 0-5 aty)
% 0.27/0.52 % Number of variables : 82 ( 0 ^; 63 !; 4 ?; 82 :)
% 0.27/0.52 % ( 15 !>; 0 ?*; 0 @-; 0 @+)
% 0.27/0.52 % SPC : TH1_THM_EQU_NAR
% 0.27/0.52
% 0.27/0.52 % Comments :
% 0.27/0.52 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.27/0.52 %------------------------------------------------------------------------------
% 0.27/0.52 thf(tyop_2Emin_2Ebool,type,
% 0.27/0.52 tyop_2Emin_2Ebool: $tType ).
% 0.27/0.52
% 0.27/0.52 thf(tyop_2Emin_2Efun,type,
% 0.27/0.52 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 0.27/0.52
% 0.27/0.52 thf(tyop_2Eoption_2Eoption,type,
% 0.27/0.52 tyop_2Eoption_2Eoption: $tType > $tType ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2E_21,type,
% 0.27/0.52 c_2Ebool_2E_21:
% 0.27/0.52 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2E_2F_5C,type,
% 0.27/0.52 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Emin_2E_3D,type,
% 0.27/0.52 c_2Emin_2E_3D:
% 0.27/0.52 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Emin_2E_3D_3D_3E,type,
% 0.27/0.52 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2E_3F,type,
% 0.27/0.52 c_2Ebool_2E_3F:
% 0.27/0.52 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2EF,type,
% 0.27/0.52 c_2Ebool_2EF: $o ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2EIS__NONE,type,
% 0.27/0.52 c_2Eoption_2EIS__NONE:
% 0.27/0.52 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2EIS__SOME,type,
% 0.27/0.52 c_2Eoption_2EIS__SOME:
% 0.27/0.52 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2ENONE,type,
% 0.27/0.52 c_2Eoption_2ENONE:
% 0.27/0.52 !>[A_27a: $tType] : ( tyop_2Eoption_2Eoption @ A_27a ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2EOPTION__JOIN,type,
% 0.27/0.52 c_2Eoption_2EOPTION__JOIN:
% 0.27/0.52 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ A_27a ) ) > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2EOPTION__MAP,type,
% 0.27/0.52 c_2Eoption_2EOPTION__MAP:
% 0.27/0.52 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27b ) > ( tyop_2Eoption_2Eoption @ A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2EOPTREL,type,
% 0.27/0.52 c_2Eoption_2EOPTREL:
% 0.27/0.52 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27b > $o ) > ( tyop_2Eoption_2Eoption @ A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) > $o ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2ESOME,type,
% 0.27/0.52 c_2Eoption_2ESOME:
% 0.27/0.52 !>[A_27a: $tType] : ( A_27a > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2ET,type,
% 0.27/0.52 c_2Ebool_2ET: $o ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2ETHE,type,
% 0.27/0.52 c_2Eoption_2ETHE:
% 0.27/0.52 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27a ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2E_5C_2F,type,
% 0.27/0.52 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Eoption_2Eoption__CASE,type,
% 0.27/0.52 c_2Eoption_2Eoption__CASE:
% 0.27/0.52 !>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27b > ( A_27a > A_27b ) > A_27b ) ).
% 0.27/0.52
% 0.27/0.52 thf(c_2Ebool_2E_7E,type,
% 0.27/0.52 c_2Ebool_2E_7E: $o > $o ).
% 0.27/0.52
% 0.27/0.52 thf(logicdef_2E_2F_5C,axiom,
% 0.27/0.52 ! [V0: $o,V1: $o] :
% 0.27/0.52 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.27/0.52 <=> ( V0
% 0.27/0.52 & V1 ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(logicdef_2E_5C_2F,axiom,
% 0.27/0.52 ! [V0: $o,V1: $o] :
% 0.27/0.52 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.27/0.52 <=> ( V0
% 0.27/0.52 | V1 ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(logicdef_2E_7E,axiom,
% 0.27/0.52 ! [V0: $o] :
% 0.27/0.52 ( ( c_2Ebool_2E_7E @ V0 )
% 0.27/0.52 <=> ( (~) @ V0 ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(logicdef_2E_3D_3D_3E,axiom,
% 0.27/0.52 ! [V0: $o,V1: $o] :
% 0.27/0.52 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.27/0.52 <=> ( V0
% 0.27/0.52 => V1 ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(logicdef_2E_3D,axiom,
% 0.27/0.52 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 0.27/0.52 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 0.27/0.52 <=> ( V0 = V1 ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(quantdef_2E_21,axiom,
% 0.27/0.52 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.27/0.52 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 0.27/0.52 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(quantdef_2E_3F,axiom,
% 0.27/0.52 ! [A_27a: $tType,V0f: A_27a > $o] :
% 0.27/0.52 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 0.27/0.52 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.27/0.52 c_2Ebool_2ET ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.27/0.52 ! [V0t1: $o,V1t2: $o] :
% 0.27/0.52 ( ( V0t1
% 0.27/0.52 => V1t2 )
% 0.27/0.52 => ( ( V1t2
% 0.27/0.52 => V0t1 )
% 0.27/0.52 => ( V0t1 = V1t2 ) ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2EFALSITY,axiom,
% 0.27/0.52 ! [V0t: $o] :
% 0.27/0.52 ( c_2Ebool_2EF
% 0.27/0.52 => V0t ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2EEXISTS__SIMP,axiom,
% 0.27/0.52 ! [A_27a: $tType,V0t: $o] :
% 0.27/0.52 ( ? [V1x: A_27a] : V0t
% 0.27/0.52 <=> V0t ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.27/0.52 ! [V0t: $o] :
% 0.27/0.52 ( ( ( c_2Ebool_2ET
% 0.27/0.52 & V0t )
% 0.27/0.52 <=> V0t )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 & c_2Ebool_2ET )
% 0.27/0.52 <=> V0t )
% 0.27/0.52 & ( ( c_2Ebool_2EF
% 0.27/0.52 & V0t )
% 0.27/0.52 <=> c_2Ebool_2EF )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 & c_2Ebool_2EF )
% 0.27/0.52 <=> c_2Ebool_2EF )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 & V0t )
% 0.27/0.52 <=> V0t ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2EOR__CLAUSES,axiom,
% 0.27/0.52 ! [V0t: $o] :
% 0.27/0.52 ( ( ( c_2Ebool_2ET
% 0.27/0.52 | V0t )
% 0.27/0.52 <=> c_2Ebool_2ET )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 | c_2Ebool_2ET )
% 0.27/0.52 <=> c_2Ebool_2ET )
% 0.27/0.52 & ( ( c_2Ebool_2EF
% 0.27/0.52 | V0t )
% 0.27/0.52 <=> V0t )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 | c_2Ebool_2EF )
% 0.27/0.52 <=> V0t )
% 0.27/0.52 & ( ( V0t
% 0.27/0.52 | V0t )
% 0.27/0.52 <=> V0t ) ) ).
% 0.27/0.52
% 0.27/0.52 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.27/0.52 ( ! [V0t: $o] :
% 0.27/0.52 ( ( (~) @ ( (~) @ V0t ) )
% 0.27/0.52 <=> V0t )
% 0.27/0.52 & ( ( (~) @ c_2Ebool_2ET )
% 0.27/0.53 <=> c_2Ebool_2EF )
% 0.27/0.53 & ( ( (~) @ c_2Ebool_2EF )
% 0.27/0.53 <=> c_2Ebool_2ET ) ) ).
% 0.27/0.53
% 0.27/0.53 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.27/0.53 ! [A_27a: $tType,V0x: A_27a] :
% 0.27/0.53 ( ( V0x = V0x )
% 0.27/0.53 <=> c_2Ebool_2ET ) ).
% 0.27/0.53
% 0.27/0.53 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.27/0.53 ! [V0t: $o] :
% 0.27/0.53 ( ( ( c_2Ebool_2ET = V0t )
% 0.27/0.53 <=> V0t )
% 0.27/0.53 & ( ( V0t = c_2Ebool_2ET )
% 0.27/0.53 <=> V0t )
% 0.27/0.53 & ( ( c_2Ebool_2EF = V0t )
% 0.27/0.53 <=> ( (~) @ V0t ) )
% 0.27/0.53 & ( ( V0t = c_2Ebool_2EF )
% 0.27/0.53 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.53
% 0.27/0.53 thf(thm_2Eoption_2Eoption__CLAUSES,axiom,
% 0.27/0.53 ! [A_27a: $tType,A_27b: $tType,V0f: A_27a > A_27b,V1e: tyop_2Eoption_2Eoption @ A_27a,V2e: A_27b] :
% 0.27/0.53 ( ! [V3x: A_27a,V4y: A_27a] :
% 0.27/0.53 ( ( ( c_2Eoption_2ESOME @ A_27a @ V3x )
% 0.27/0.53 = ( c_2Eoption_2ESOME @ A_27a @ V4y ) )
% 0.27/0.53 <=> ( V3x = V4y ) )
% 0.27/0.53 & ! [V5x: A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2ETHE @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V5x ) )
% 0.27/0.53 = V5x )
% 0.27/0.53 & ! [V6x: A_27a] :
% 0.27/0.53 ( (~)
% 0.27/0.53 @ ( ( c_2Eoption_2ENONE @ A_27a )
% 0.27/0.53 = ( c_2Eoption_2ESOME @ A_27a @ V6x ) ) )
% 0.27/0.53 & ! [V7x: A_27a] :
% 0.27/0.53 ( (~)
% 0.27/0.53 @ ( ( c_2Eoption_2ESOME @ A_27a @ V7x )
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 0.27/0.53 & ! [V8x: A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V8x ) )
% 0.27/0.53 = c_2Ebool_2ET )
% 0.27/0.53 & ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 = c_2Ebool_2EF )
% 0.27/0.53 & ! [V9x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__NONE @ A_27a @ V9x )
% 0.27/0.53 <=> ( V9x
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 0.27/0.53 & ! [V10x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( (~) @ ( c_2Eoption_2EIS__SOME @ A_27a @ V10x ) )
% 0.27/0.53 <=> ( V10x
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 0.27/0.53 & ! [V11x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V11x )
% 0.27/0.53 => ( ( c_2Eoption_2ESOME @ A_27a @ ( c_2Eoption_2ETHE @ A_27a @ V11x ) )
% 0.27/0.53 = V11x ) )
% 0.27/0.53 & ! [V12x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V12x @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 0.27/0.53 = V12x )
% 0.27/0.53 & ! [V13x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V13x @ V13x @ ( c_2Eoption_2ESOME @ A_27a ) )
% 0.27/0.53 = V13x )
% 0.27/0.53 & ! [V14x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__NONE @ A_27a @ V14x )
% 0.27/0.53 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ V14x @ V2e @ V0f )
% 0.27/0.53 = V2e ) )
% 0.27/0.53 & ! [V15x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V15x )
% 0.27/0.53 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ V15x @ V2e @ V0f )
% 0.27/0.53 = ( V0f @ ( c_2Eoption_2ETHE @ A_27a @ V15x ) ) ) )
% 0.27/0.53 & ! [V16x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V16x )
% 0.27/0.53 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V16x @ V1e @ ( c_2Eoption_2ESOME @ A_27a ) )
% 0.27/0.53 = V16x ) )
% 0.27/0.53 & ! [V17v: A_27b,V18f: A_27a > A_27b] :
% 0.27/0.53 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ ( c_2Eoption_2ENONE @ A_27a ) @ V17v @ V18f )
% 0.27/0.53 = V17v )
% 0.27/0.53 & ! [V19x: A_27a,V20v: A_27b,V21f: A_27a > A_27b] :
% 0.27/0.53 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ ( c_2Eoption_2ESOME @ A_27a @ V19x ) @ V20v @ V21f )
% 0.27/0.53 = ( V21f @ V19x ) )
% 0.27/0.53 & ! [V22f: A_27a > A_27b,V23x: A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b @ V22f @ ( c_2Eoption_2ESOME @ A_27a @ V23x ) )
% 0.27/0.53 = ( c_2Eoption_2ESOME @ A_27b @ ( V22f @ V23x ) ) )
% 0.27/0.53 & ! [V24f: A_27a > A_27b] :
% 0.27/0.53 ( ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b @ V24f @ ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27b ) )
% 0.27/0.53 & ( ( c_2Eoption_2EOPTION__JOIN @ A_27a @ ( c_2Eoption_2ENONE @ ( tyop_2Eoption_2Eoption @ A_27a ) ) )
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 & ! [V25x: tyop_2Eoption_2Eoption @ A_27a] :
% 0.27/0.53 ( ( c_2Eoption_2EOPTION__JOIN @ A_27a @ ( c_2Eoption_2ESOME @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V25x ) )
% 0.27/0.53 = V25x ) ) ).
% 0.27/0.53
% 0.27/0.53 thf(thm_2Eoption_2EOPTREL__def,axiom,
% 0.27/0.53 ! [A_27a: $tType,A_27b: $tType,V0R: A_27a > A_27b > $o,V1x: tyop_2Eoption_2Eoption @ A_27a,V2y: tyop_2Eoption_2Eoption @ A_27b] :
% 0.27/0.53 ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27b @ V0R @ V1x @ V2y )
% 0.27/0.53 <=> ( ( ( V1x
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 & ( V2y
% 0.27/0.53 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 0.27/0.53 | ? [V3x0: A_27a,V4y0: A_27b] :
% 0.27/0.53 ( ( V1x
% 0.27/0.53 = ( c_2Eoption_2ESOME @ A_27a @ V3x0 ) )
% 0.27/0.53 & ( V2y
% 0.27/0.53 = ( c_2Eoption_2ESOME @ A_27b @ V4y0 ) )
% 0.27/0.53 & ( V0R @ V3x0 @ V4y0 ) ) ) ) ).
% 0.27/0.53
% 0.27/0.53 thf(thm_2Equotient__option_2EOPTION__REL__def,conjecture,
% 0.27/0.53 ! [A_27a: $tType,V0y: A_27a,V1x: A_27a,V2R: A_27a > A_27a > $o] :
% 0.27/0.53 ( ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 = c_2Ebool_2ET )
% 0.27/0.53 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ESOME @ A_27a @ V1x ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 0.27/0.53 = c_2Ebool_2EF )
% 0.27/0.53 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ESOME @ A_27a @ V0y ) )
% 0.27/0.53 = c_2Ebool_2EF )
% 0.27/0.53 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ESOME @ A_27a @ V1x ) @ ( c_2Eoption_2ESOME @ A_27a @ V0y ) )
% 0.27/0.53 = ( V2R @ V1x @ V0y ) ) ) ).
% 0.27/0.53
% 0.27/0.53 %------------------------------------------------------------------------------
% 0.27/0.53 ------------------------
% 1.78/1.43 ---- Embedded in THF ---
% 1.78/1.43 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.78/1.43 %%% Generated on Tue Feb 24 08:19:30 EST 2026
% 1.78/1.43 %%% using '$$dhol' embedding, version 1.3.0.
% 1.78/1.43 %%% Logic specification used:
% 1.78/1.43 %%% thf(spec, logic, $$dhol).
% 1.78/1.43
% 1.78/1.43 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2DTF5780.p
% 1.78/1.43 thf(tyop_2Emin_2Ebool, type, tyop_2Emin_2Ebool: $tType).
% 1.78/1.43 thf(tyop_2Emin_2Efun, type, tyop_2Emin_2Efun: ($tType > ($tType > $tType))).
% 1.78/1.43 thf(tyop_2Eoption_2Eoption, type, tyop_2Eoption_2Eoption: ($tType > $tType)).
% 1.78/1.43 thf(c_2Ebool_2E_21, type, c_2Ebool_2E_21: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.78/1.43 thf(c_2Ebool_2E_2F_5C, type, c_2Ebool_2E_2F_5C: ($o > ($o > $o))).
% 1.78/1.43 thf(c_2Emin_2E_3D, type, c_2Emin_2E_3D: (!> [A_27a:$tType]: ((A_27a > (A_27a > $o))))).
% 1.78/1.43 thf(c_2Emin_2E_3D_3D_3E, type, c_2Emin_2E_3D_3D_3E: ($o > ($o > $o))).
% 1.78/1.43 thf(c_2Ebool_2E_3F, type, c_2Ebool_2E_3F: (!> [A_27a:$tType]: (((A_27a > $o) > $o)))).
% 1.78/1.43 thf(c_2Ebool_2EF, type, c_2Ebool_2EF: $o).
% 1.78/1.43 thf(c_2Eoption_2EIS__NONE, type, c_2Eoption_2EIS__NONE: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > $o)))).
% 1.78/1.43 thf(c_2Eoption_2EIS__SOME, type, c_2Eoption_2EIS__SOME: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > $o)))).
% 1.78/1.43 thf(c_2Eoption_2ENONE, type, c_2Eoption_2ENONE: (!> [A_27a:$tType]: ((tyop_2Eoption_2Eoption @ A_27a)))).
% 1.78/1.43 thf(c_2Eoption_2EOPTION__JOIN, type, c_2Eoption_2EOPTION__JOIN: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ A_27a)) > (tyop_2Eoption_2Eoption @ A_27a))))).
% 1.78/1.43 thf(c_2Eoption_2EOPTION__MAP, type, c_2Eoption_2EOPTION__MAP: (!> [A_27a:$tType,A_27b:$tType]: (((A_27a > A_27b) > ((tyop_2Eoption_2Eoption @ A_27a) > (tyop_2Eoption_2Eoption @ A_27b)))))).
% 1.78/1.43 thf(c_2Eoption_2EOPTREL, type, c_2Eoption_2EOPTREL: (!> [A_27a:$tType,A_27b:$tType]: (((A_27a > (A_27b > $o)) > ((tyop_2Eoption_2Eoption @ A_27a) > ((tyop_2Eoption_2Eoption @ A_27b) > $o)))))).
% 1.78/1.43 thf(c_2Eoption_2ESOME, type, c_2Eoption_2ESOME: (!> [A_27a:$tType]: ((A_27a > (tyop_2Eoption_2Eoption @ A_27a))))).
% 1.78/1.43 thf(c_2Ebool_2ET, type, c_2Ebool_2ET: $o).
% 1.78/1.43 thf(c_2Eoption_2ETHE, type, c_2Eoption_2ETHE: (!> [A_27a:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > A_27a)))).
% 1.78/1.43 thf(c_2Ebool_2E_5C_2F, type, c_2Ebool_2E_5C_2F: ($o > ($o > $o))).
% 1.78/1.43 thf(c_2Eoption_2Eoption__CASE, type, c_2Eoption_2Eoption__CASE: (!> [A_27a:$tType,A_27b:$tType]: (((tyop_2Eoption_2Eoption @ A_27a) > (A_27b > ((A_27a > A_27b) > A_27b)))))).
% 1.78/1.43 thf(c_2Ebool_2E_7E, type, c_2Ebool_2E_7E: ($o > $o)).
% 1.78/1.43 thf(logicdef_2E_2F_5C, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_2F_5C @ V0) @ V1) <=> (V0 & V1))))).
% 1.78/1.43 thf(logicdef_2E_5C_2F, axiom, (! [V0:$o,V1:$o]: ((((c_2Ebool_2E_5C_2F @ V0) @ V1) <=> (V0 | V1))))).
% 1.78/1.43 thf(logicdef_2E_7E, axiom, (! [V0:$o]: (((c_2Ebool_2E_7E @ V0) <=> ((~) @ V0))))).
% 1.78/1.43 thf(logicdef_2E_3D_3D_3E, axiom, (! [V0:$o,V1:$o]: ((((c_2Emin_2E_3D_3D_3E @ V0) @ V1) <=> (V0 => V1))))).
% 1.78/1.43 thf(logicdef_2E_3D, axiom, (! [A_27a:$tType,V0:A_27a,V1:A_27a]: (((((c_2Emin_2E_3D @ A_27a) @ V0) @ V1) <=> (V0 = V1))))).
% 1.78/1.43 thf(quantdef_2E_21, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_21 @ A_27a) @ V0f) <=> (! [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.78/1.43 thf(quantdef_2E_3F, axiom, (! [A_27a:$tType,V0f:(A_27a > $o)]: ((((c_2Ebool_2E_3F @ A_27a) @ V0f) <=> (? [V1x:A_27a]: ((V0f @ V1x))))))).
% 1.78/1.43 thf(thm_2Ebool_2ETRUTH, axiom, c_2Ebool_2ET).
% 1.78/1.43 thf(thm_2Ebool_2EIMP__ANTISYM__AX, axiom, (! [V0t1:$o,V1t2:$o]: (((V0t1 => V1t2) => ((V1t2 => V0t1) => (V0t1 = V1t2)))))).
% 1.78/1.43 thf(thm_2Ebool_2EFALSITY, axiom, (! [V0t:$o]: ((c_2Ebool_2EF => V0t)))).
% 1.78/1.43 thf(thm_2Ebool_2EEXISTS__SIMP, axiom, (! [A_27a:$tType,V0t:$o]: (((? [V1x:A_27a]: (V0t)) <=> V0t)))).
% 1.78/1.43 thf(thm_2Ebool_2EAND__CLAUSES, axiom, (! [V0t:$o]: ((((c_2Ebool_2ET & V0t) <=> V0t) & (((V0t & c_2Ebool_2ET) <=> V0t) & (((c_2Ebool_2EF & V0t) <=> c_2Ebool_2EF) & (((V0t & c_2Ebool_2EF) <=> c_2Ebool_2EF) & ((V0t & V0t) <=> V0t)))))))).
% 1.78/1.43 thf(thm_2Ebool_2EOR__CLAUSES, axiom, (! [V0t:$o]: ((((c_2Ebool_2ET | V0t) <=> c_2Ebool_2ET) & (((V0t | c_2Ebool_2ET) <=> c_2Ebool_2ET) & (((c_2Ebool_2EF | V0t) <=> V0t) & (((V0t | c_2Ebool_2EF) <=> V0t) & ((V0t | V0t) <=> V0t)))))))).
% 1.78/1.43 thf(thm_2Ebool_2ENOT__CLAUSES, axiom, ((! [V0t:$o]: ((((~) @ ((~) @ V0t)) <=> V0t))) & ((((~) @ c_2Ebool_2ET) <=> c_2Ebool_2EF) & (((~) @ c_2Ebool_2EF) <=> c_2Ebool_2ET)))).
% 1.78/1.43 thf(thm_2Ebool_2EREFL__CLAUSE, axiom, (! [A_27a:$tType,V0x:A_27a]: (((V0x = V0x) <=> c_2Ebool_2ET)))).
% 1.78/1.43 thf(thm_2Ebool_2EEQ__CLAUSES, axiom, (! [V0t:$o]: ((((c_2Ebool_2ET = V0t) <=> V0t) & (((V0t = c_2Ebool_2ET) <=> V0t) & (((c_2Ebool_2EF = V0t) <=> ((~) @ V0t)) & ((V0t = c_2Ebool_2EF) <=> ((~) @ V0t)))))))).
% 1.78/1.43 thf(thm_2Eoption_2Eoption__CLAUSES, axiom, (! [A_27a:$tType,A_27b:$tType,V0f:(A_27a > A_27b),V1e:(tyop_2Eoption_2Eoption @ A_27a),V2e:A_27b]: (((! [V3x:A_27a,V4y:A_27a]: (((((c_2Eoption_2ESOME @ A_27a) @ V3x) = ((c_2Eoption_2ESOME @ A_27a) @ V4y)) <=> (V3x = V4y)))) & ((! [V5x:A_27a]: ((((c_2Eoption_2ETHE @ A_27a) @ ((c_2Eoption_2ESOME @ A_27a) @ V5x)) = V5x))) & ((! [V6x:A_27a]: (((~) @ ((c_2Eoption_2ENONE @ A_27a) = ((c_2Eoption_2ESOME @ A_27a) @ V6x))))) & ((! [V7x:A_27a]: (((~) @ (((c_2Eoption_2ESOME @ A_27a) @ V7x) = (c_2Eoption_2ENONE @ A_27a))))) & ((! [V8x:A_27a]: ((((c_2Eoption_2EIS__SOME @ A_27a) @ ((c_2Eoption_2ESOME @ A_27a) @ V8x)) = c_2Ebool_2ET))) & ((((c_2Eoption_2EIS__SOME @ A_27a) @ (c_2Eoption_2ENONE @ A_27a)) = c_2Ebool_2EF) & ((! [V9x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EIS__NONE @ A_27a) @ V9x) <=> (V9x = (c_2Eoption_2ENONE @ A_27a))))) & ((! [V10x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((~) @ ((c_2Eoption_2EIS__SOME @ A_27a) @ V10x)) <=> (V10x = (c_2Eoption_2ENONE @ A_27a))))) & ((! [V11x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EIS__SOME @ A_27a) @ V11x) => (((c_2Eoption_2ESOME @ A_27a) @ ((c_2Eoption_2ETHE @ A_27a) @ V11x)) = V11x)))) & ((! [V12x:(tyop_2Eoption_2Eoption @ A_27a)]: (((((((c_2Eoption_2Eoption__CASE @ A_27a) @ (tyop_2Eoption_2Eoption @ A_27a)) @ V12x) @ (c_2Eoption_2ENONE @ A_27a)) @ (c_2Eoption_2ESOME @ A_27a)) = V12x))) & ((! [V13x:(tyop_2Eoption_2Eoption @ A_27a)]: (((((((c_2Eoption_2Eoption__CASE @ A_27a) @ (tyop_2Eoption_2Eoption @ A_27a)) @ V13x) @ V13x) @ (c_2Eoption_2ESOME @ A_27a)) = V13x))) & ((! [V14x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EIS__NONE @ A_27a) @ V14x) => ((((((c_2Eoption_2Eoption__CASE @ A_27a) @ A_27b) @ V14x) @ V2e) @ V0f) = V2e)))) & ((! [V15x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EIS__SOME @ A_27a) @ V15x) => ((((((c_2Eoption_2Eoption__CASE @ A_27a) @ A_27b) @ V15x) @ V2e) @ V0f) = (V0f @ ((c_2Eoption_2ETHE @ A_27a) @ V15x)))))) & ((! [V16x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EIS__SOME @ A_27a) @ V16x) => ((((((c_2Eoption_2Eoption__CASE @ A_27a) @ (tyop_2Eoption_2Eoption @ A_27a)) @ V16x) @ V1e) @ (c_2Eoption_2ESOME @ A_27a)) = V16x)))) & ((! [V17v:A_27b,V18f:(A_27a > A_27b)]: (((((((c_2Eoption_2Eoption__CASE @ A_27a) @ A_27b) @ (c_2Eoption_2ENONE @ A_27a)) @ V17v) @ V18f) = V17v))) & ((! [V19x:A_27a,V20v:A_27b,V21f:(A_27a > A_27b)]: (((((((c_2Eoption_2Eoption__CASE @ A_27a) @ A_27b) @ ((c_2Eoption_2ESOME @ A_27a) @ V19x)) @ V20v) @ V21f) = (V21f @ V19x)))) & ((! [V22f:(A_27a > A_27b),V23x:A_27a]: ((((((c_2Eoption_2EOPTION__MAP @ A_27a) @ A_27b) @ V22f) @ ((c_2Eoption_2ESOME @ A_27a) @ V23x)) = ((c_2Eoption_2ESOME @ A_27b) @ (V22f @ V23x))))) & ((! [V24f:(A_27a > A_27b)]: ((((((c_2Eoption_2EOPTION__MAP @ A_27a) @ A_27b) @ V24f) @ (c_2Eoption_2ENONE @ A_27a)) = (c_2Eoption_2ENONE @ A_27b)))) & ((((c_2Eoption_2EOPTION__JOIN @ A_27a) @ (c_2Eoption_2ENONE @ (tyop_2Eoption_2Eoption @ A_27a))) = (c_2Eoption_2ENONE @ A_27a)) & (! [V25x:(tyop_2Eoption_2Eoption @ A_27a)]: ((((c_2Eoption_2EOPTION__JOIN @ A_27a) @ ((c_2Eoption_2ESOME @ (tyop_2Eoption_2Eoption @ A_27a)) @ V25x)) = V25x))))))))))))))))))))))))).
% 1.78/1.43 thf(thm_2Eoption_2EOPTREL__def, axiom, (! [A_27a:$tType,A_27b:$tType,V0R:(A_27a > (A_27b > $o)),V1x:(tyop_2Eoption_2Eoption @ A_27a),V2y:(tyop_2Eoption_2Eoption @ A_27b)]: (((((((c_2Eoption_2EOPTREL @ A_27a) @ A_27b) @ V0R) @ V1x) @ V2y) <=> (((V1x = (c_2Eoption_2ENONE @ A_27a)) & (V2y = (c_2Eoption_2ENONE @ A_27b))) | (? [V3x0:A_27a,V4y0:A_27b]: (((V1x = ((c_2Eoption_2ESOME @ A_27a) @ V3x0)) & ((V2y = ((c_2Eoption_2ESOME @ A_27b) @ V4y0)) & ((V0R @ V3x0) @ V4y0)))))))))).
% 1.78/1.43 thf(thm_2Equotient__option_2EOPTION__REL__def, conjecture, (! [A_27a:$tType,V0y:A_27a,V1x:A_27a,V2R:(A_27a > (A_27a > $o))]: ((((((((c_2Eoption_2EOPTREL @ A_27a) @ A_27a) @ V2R) @ (c_2Eoption_2ENONE @ A_27a)) @ (c_2Eoption_2ENONE @ A_27a)) = c_2Ebool_2ET) & (((((((c_2Eoption_2EOPTREL @ A_27a) @ A_27a) @ V2R) @ ((c_2Eoption_2ESOME @ A_27a) @ V1x)) @ (c_2Eoption_2ENONE @ A_27a)) = c_2Ebool_2EF) & (((((((c_2Eoption_2EOPTREL @ A_27a) @ A_27a) @ V2R) @ (c_2Eoption_2ENONE @ A_27a)) @ ((c_2Eoption_2ESOME @ A_27a) @ V0y)) = c_2Ebool_2EF) & ((((((c_2Eoption_2EOPTREL @ A_27a) @ A_27a) @ V2R) @ ((c_2Eoption_2ESOME @ A_27a) @ V1x)) @ ((c_2Eoption_2ESOME @ A_27a) @ V0y)) = ((V2R @ V1x) @ V0y)))))))).
% 1.78/1.43 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2DTF5780.p
% 1.78/1.43 ------------------------
% 1.78/1.44 ---- Cleaned THF ---
% 1.78/1.44 thf(tyop_2Emin_2Ebool,type,
% 1.78/1.44 tyop_2Emin_2Ebool: $tType ).
% 1.78/1.44
% 1.78/1.44 thf(tyop_2Emin_2Efun,type,
% 1.78/1.44 tyop_2Emin_2Efun: $tType > $tType > $tType ).
% 1.78/1.44
% 1.78/1.44 thf(tyop_2Eoption_2Eoption,type,
% 1.78/1.44 tyop_2Eoption_2Eoption: $tType > $tType ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2E_21,type,
% 1.78/1.44 c_2Ebool_2E_21:
% 1.78/1.44 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2E_2F_5C,type,
% 1.78/1.44 c_2Ebool_2E_2F_5C: $o > $o > $o ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Emin_2E_3D,type,
% 1.78/1.44 c_2Emin_2E_3D:
% 1.78/1.44 !>[A_27a: $tType] : ( A_27a > A_27a > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Emin_2E_3D_3D_3E,type,
% 1.78/1.44 c_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2E_3F,type,
% 1.78/1.44 c_2Ebool_2E_3F:
% 1.78/1.44 !>[A_27a: $tType] : ( ( A_27a > $o ) > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2EF,type,
% 1.78/1.44 c_2Ebool_2EF: $o ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2EIS__NONE,type,
% 1.78/1.44 c_2Eoption_2EIS__NONE:
% 1.78/1.44 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2EIS__SOME,type,
% 1.78/1.44 c_2Eoption_2EIS__SOME:
% 1.78/1.44 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2ENONE,type,
% 1.78/1.44 c_2Eoption_2ENONE:
% 1.78/1.44 !>[A_27a: $tType] : ( tyop_2Eoption_2Eoption @ A_27a ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2EOPTION__JOIN,type,
% 1.78/1.44 c_2Eoption_2EOPTION__JOIN:
% 1.78/1.44 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ A_27a ) ) > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2EOPTION__MAP,type,
% 1.78/1.44 c_2Eoption_2EOPTION__MAP:
% 1.78/1.44 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27b ) > ( tyop_2Eoption_2Eoption @ A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2EOPTREL,type,
% 1.78/1.44 c_2Eoption_2EOPTREL:
% 1.78/1.44 !>[A_27a: $tType,A_27b: $tType] : ( ( A_27a > A_27b > $o ) > ( tyop_2Eoption_2Eoption @ A_27a ) > ( tyop_2Eoption_2Eoption @ A_27b ) > $o ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2ESOME,type,
% 1.78/1.44 c_2Eoption_2ESOME:
% 1.78/1.44 !>[A_27a: $tType] : ( A_27a > ( tyop_2Eoption_2Eoption @ A_27a ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2ET,type,
% 1.78/1.44 c_2Ebool_2ET: $o ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2ETHE,type,
% 1.78/1.44 c_2Eoption_2ETHE:
% 1.78/1.44 !>[A_27a: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27a ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2E_5C_2F,type,
% 1.78/1.44 c_2Ebool_2E_5C_2F: $o > $o > $o ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Eoption_2Eoption__CASE,type,
% 1.78/1.44 c_2Eoption_2Eoption__CASE:
% 1.78/1.44 !>[A_27a: $tType,A_27b: $tType] : ( ( tyop_2Eoption_2Eoption @ A_27a ) > A_27b > ( A_27a > A_27b ) > A_27b ) ).
% 1.78/1.44
% 1.78/1.44 thf(c_2Ebool_2E_7E,type,
% 1.78/1.44 c_2Ebool_2E_7E: $o > $o ).
% 1.78/1.44
% 1.78/1.44 thf(logicdef_2E_2F_5C,axiom,
% 1.78/1.44 ! [V0: $o,V1: $o] :
% 1.78/1.44 ( ( c_2Ebool_2E_2F_5C @ V0 @ V1 )
% 1.78/1.44 <=> ( V0
% 1.78/1.44 & V1 ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(logicdef_2E_5C_2F,axiom,
% 1.78/1.44 ! [V0: $o,V1: $o] :
% 1.78/1.44 ( ( c_2Ebool_2E_5C_2F @ V0 @ V1 )
% 1.78/1.44 <=> ( V0
% 1.78/1.44 | V1 ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(logicdef_2E_7E,axiom,
% 1.78/1.44 ! [V0: $o] :
% 1.78/1.44 ( ( c_2Ebool_2E_7E @ V0 )
% 1.78/1.44 <=> ( (~) @ V0 ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(logicdef_2E_3D_3D_3E,axiom,
% 1.78/1.44 ! [V0: $o,V1: $o] :
% 1.78/1.44 ( ( c_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 1.78/1.44 <=> ( V0
% 1.78/1.44 => V1 ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(logicdef_2E_3D,axiom,
% 1.78/1.44 ! [A_27a: $tType,V0: A_27a,V1: A_27a] :
% 1.78/1.44 ( ( c_2Emin_2E_3D @ A_27a @ V0 @ V1 )
% 1.78/1.44 <=> ( V0 = V1 ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(quantdef_2E_21,axiom,
% 1.78/1.44 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.78/1.44 ( ( c_2Ebool_2E_21 @ A_27a @ V0f )
% 1.78/1.44 <=> ! [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(quantdef_2E_3F,axiom,
% 1.78/1.44 ! [A_27a: $tType,V0f: A_27a > $o] :
% 1.78/1.44 ( ( c_2Ebool_2E_3F @ A_27a @ V0f )
% 1.78/1.44 <=> ? [V1x: A_27a] : ( V0f @ V1x ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2ETRUTH,axiom,
% 1.78/1.44 c_2Ebool_2ET ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 1.78/1.44 ! [V0t1: $o,V1t2: $o] :
% 1.78/1.44 ( ( V0t1
% 1.78/1.44 => V1t2 )
% 1.78/1.44 => ( ( V1t2
% 1.78/1.44 => V0t1 )
% 1.78/1.44 => ( V0t1 = V1t2 ) ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EFALSITY,axiom,
% 1.78/1.44 ! [V0t: $o] :
% 1.78/1.44 ( c_2Ebool_2EF
% 1.78/1.44 => V0t ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EEXISTS__SIMP,axiom,
% 1.78/1.44 ! [A_27a: $tType,V0t: $o] :
% 1.78/1.44 ( ? [V1x: A_27a] : V0t
% 1.78/1.44 <=> V0t ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 1.78/1.44 ! [V0t: $o] :
% 1.78/1.44 ( ( ( c_2Ebool_2ET
% 1.78/1.44 & V0t )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 & c_2Ebool_2ET )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( c_2Ebool_2EF
% 1.78/1.44 & V0t )
% 1.78/1.44 <=> c_2Ebool_2EF )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 & c_2Ebool_2EF )
% 1.78/1.44 <=> c_2Ebool_2EF )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 & V0t )
% 1.78/1.44 <=> V0t ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EOR__CLAUSES,axiom,
% 1.78/1.44 ! [V0t: $o] :
% 1.78/1.44 ( ( ( c_2Ebool_2ET
% 1.78/1.44 | V0t )
% 1.78/1.44 <=> c_2Ebool_2ET )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 | c_2Ebool_2ET )
% 1.78/1.44 <=> c_2Ebool_2ET )
% 1.78/1.44 & ( ( c_2Ebool_2EF
% 1.78/1.44 | V0t )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 | c_2Ebool_2EF )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( V0t
% 1.78/1.44 | V0t )
% 1.78/1.44 <=> V0t ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 1.78/1.44 ( ! [V0t: $o] :
% 1.78/1.44 ( ( (~) @ ( (~) @ V0t ) )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( (~) @ c_2Ebool_2ET )
% 1.78/1.44 <=> c_2Ebool_2EF )
% 1.78/1.44 & ( ( (~) @ c_2Ebool_2EF )
% 1.78/1.44 <=> c_2Ebool_2ET ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 1.78/1.44 ! [A_27a: $tType,V0x: A_27a] :
% 1.78/1.44 ( ( V0x = V0x )
% 1.78/1.44 <=> c_2Ebool_2ET ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 1.78/1.44 ! [V0t: $o] :
% 1.78/1.44 ( ( ( c_2Ebool_2ET = V0t )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( V0t = c_2Ebool_2ET )
% 1.78/1.44 <=> V0t )
% 1.78/1.44 & ( ( c_2Ebool_2EF = V0t )
% 1.78/1.44 <=> ( (~) @ V0t ) )
% 1.78/1.44 & ( ( V0t = c_2Ebool_2EF )
% 1.78/1.44 <=> ( (~) @ V0t ) ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Eoption_2Eoption__CLAUSES,axiom,
% 1.78/1.44 ! [A_27a: $tType,A_27b: $tType,V0f: A_27a > A_27b,V1e: tyop_2Eoption_2Eoption @ A_27a,V2e: A_27b] :
% 1.78/1.44 ( ! [V3x: A_27a,V4y: A_27a] :
% 1.78/1.44 ( ( ( c_2Eoption_2ESOME @ A_27a @ V3x )
% 1.78/1.44 = ( c_2Eoption_2ESOME @ A_27a @ V4y ) )
% 1.78/1.44 <=> ( V3x = V4y ) )
% 1.78/1.44 & ! [V5x: A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2ETHE @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V5x ) )
% 1.78/1.44 = V5x )
% 1.78/1.44 & ! [V6x: A_27a] :
% 1.78/1.44 ( (~)
% 1.78/1.44 @ ( ( c_2Eoption_2ENONE @ A_27a )
% 1.78/1.44 = ( c_2Eoption_2ESOME @ A_27a @ V6x ) ) )
% 1.78/1.44 & ! [V7x: A_27a] :
% 1.78/1.44 ( (~)
% 1.78/1.44 @ ( ( c_2Eoption_2ESOME @ A_27a @ V7x )
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 1.78/1.44 & ! [V8x: A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ESOME @ A_27a @ V8x ) )
% 1.78/1.44 = c_2Ebool_2ET )
% 1.78/1.44 & ( ( c_2Eoption_2EIS__SOME @ A_27a @ ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 = c_2Ebool_2EF )
% 1.78/1.44 & ! [V9x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__NONE @ A_27a @ V9x )
% 1.78/1.44 <=> ( V9x
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 1.78/1.44 & ! [V10x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( (~) @ ( c_2Eoption_2EIS__SOME @ A_27a @ V10x ) )
% 1.78/1.44 <=> ( V10x
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27a ) ) )
% 1.78/1.44 & ! [V11x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V11x )
% 1.78/1.44 => ( ( c_2Eoption_2ESOME @ A_27a @ ( c_2Eoption_2ETHE @ A_27a @ V11x ) )
% 1.78/1.44 = V11x ) )
% 1.78/1.44 & ! [V12x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V12x @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ESOME @ A_27a ) )
% 1.78/1.44 = V12x )
% 1.78/1.44 & ! [V13x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V13x @ V13x @ ( c_2Eoption_2ESOME @ A_27a ) )
% 1.78/1.44 = V13x )
% 1.78/1.44 & ! [V14x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__NONE @ A_27a @ V14x )
% 1.78/1.44 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ V14x @ V2e @ V0f )
% 1.78/1.44 = V2e ) )
% 1.78/1.44 & ! [V15x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V15x )
% 1.78/1.44 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ V15x @ V2e @ V0f )
% 1.78/1.44 = ( V0f @ ( c_2Eoption_2ETHE @ A_27a @ V15x ) ) ) )
% 1.78/1.44 & ! [V16x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EIS__SOME @ A_27a @ V16x )
% 1.78/1.44 => ( ( c_2Eoption_2Eoption__CASE @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V16x @ V1e @ ( c_2Eoption_2ESOME @ A_27a ) )
% 1.78/1.44 = V16x ) )
% 1.78/1.44 & ! [V17v: A_27b,V18f: A_27a > A_27b] :
% 1.78/1.44 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ ( c_2Eoption_2ENONE @ A_27a ) @ V17v @ V18f )
% 1.78/1.44 = V17v )
% 1.78/1.44 & ! [V19x: A_27a,V20v: A_27b,V21f: A_27a > A_27b] :
% 1.78/1.44 ( ( c_2Eoption_2Eoption__CASE @ A_27a @ A_27b @ ( c_2Eoption_2ESOME @ A_27a @ V19x ) @ V20v @ V21f )
% 1.78/1.44 = ( V21f @ V19x ) )
% 1.78/1.44 & ! [V22f: A_27a > A_27b,V23x: A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b @ V22f @ ( c_2Eoption_2ESOME @ A_27a @ V23x ) )
% 1.78/1.44 = ( c_2Eoption_2ESOME @ A_27b @ ( V22f @ V23x ) ) )
% 1.78/1.44 & ! [V24f: A_27a > A_27b] :
% 1.78/1.44 ( ( c_2Eoption_2EOPTION__MAP @ A_27a @ A_27b @ V24f @ ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27b ) )
% 1.78/1.44 & ( ( c_2Eoption_2EOPTION__JOIN @ A_27a @ ( c_2Eoption_2ENONE @ ( tyop_2Eoption_2Eoption @ A_27a ) ) )
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 & ! [V25x: tyop_2Eoption_2Eoption @ A_27a] :
% 1.78/1.44 ( ( c_2Eoption_2EOPTION__JOIN @ A_27a @ ( c_2Eoption_2ESOME @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V25x ) )
% 1.78/1.44 = V25x ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Eoption_2EOPTREL__def,axiom,
% 1.78/1.44 ! [A_27a: $tType,A_27b: $tType,V0R: A_27a > A_27b > $o,V1x: tyop_2Eoption_2Eoption @ A_27a,V2y: tyop_2Eoption_2Eoption @ A_27b] :
% 1.78/1.44 ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27b @ V0R @ V1x @ V2y )
% 1.78/1.44 <=> ( ( ( V1x
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 & ( V2y
% 1.78/1.44 = ( c_2Eoption_2ENONE @ A_27b ) ) )
% 1.78/1.44 | ? [V3x0: A_27a,V4y0: A_27b] :
% 1.78/1.44 ( ( V1x
% 1.78/1.44 = ( c_2Eoption_2ESOME @ A_27a @ V3x0 ) )
% 1.78/1.44 & ( V2y
% 1.78/1.44 = ( c_2Eoption_2ESOME @ A_27b @ V4y0 ) )
% 1.78/1.44 & ( V0R @ V3x0 @ V4y0 ) ) ) ) ).
% 1.78/1.44
% 1.78/1.44 thf(thm_2Equotient__option_2EOPTION__REL__def,conjecture,
% 1.78/1.44 ! [A_27a: $tType,V0y: A_27a,V1x: A_27a,V2R: A_27a > A_27a > $o] :
% 1.78/1.44 ( ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 = c_2Ebool_2ET )
% 1.78/1.44 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ESOME @ A_27a @ V1x ) @ ( c_2Eoption_2ENONE @ A_27a ) )
% 1.78/1.44 = c_2Ebool_2EF )
% 1.78/1.44 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ENONE @ A_27a ) @ ( c_2Eoption_2ESOME @ A_27a @ V0y ) )
% 1.78/1.44 = c_2Ebool_2EF )
% 1.78/1.44 & ( ( c_2Eoption_2EOPTREL @ A_27a @ A_27a @ V2R @ ( c_2Eoption_2ESOME @ A_27a @ V1x ) @ ( c_2Eoption_2ESOME @ A_27a @ V0y ) )
% 1.78/1.44 = ( V2R @ V1x @ V0y ) ) ) ).
% 1.78/1.44 ------------------------
% 1.78/1.46 % (6074)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/2Mi)
% 1.78/1.46 % (6074)Instruction limit reached!
% 1.78/1.46 % (6074)------------------------------
% 1.78/1.46 % (6074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.46 % (6074)Termination reason: Unknown
% 1.78/1.46 % (6074)Termination phase: Property scanning
% 1.78/1.46
% 1.78/1.46 % (6074)Memory used [KB]: 1023
% 1.78/1.46 % (6074)Time elapsed: 0.002 s
% 1.78/1.46 % (6074)Instructions burned: 2 (million)
% 1.78/1.46 % (6074)------------------------------
% 1.78/1.46 % (6074)------------------------------
% 1.78/1.46 % (6072)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_5780 for (2999ds/4Mi)
% 1.78/1.46 % (6071)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/183Mi)
% 1.78/1.47 % (6073)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_5780 for (2999ds/27Mi)
% 1.78/1.47 % (6075)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_5780 for (2999ds/2Mi)
% 1.78/1.47 % (6076)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_5780 for (2999ds/275Mi)
% 1.78/1.47 % (6077)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/18Mi)
% 1.78/1.47 % (6075)Instruction limit reached!
% 1.78/1.47 % (6075)------------------------------
% 1.78/1.47 % (6075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (6075)Termination reason: Unknown
% 1.78/1.47 % (6075)Termination phase: shuffling
% 1.78/1.47
% 1.78/1.47 % (6075)Memory used [KB]: 1023
% 1.78/1.47 % (6075)Time elapsed: 0.003 s
% 1.78/1.47 % (6075)Instructions burned: 2 (million)
% 1.78/1.47 % (6075)------------------------------
% 1.78/1.47 % (6075)------------------------------
% 1.78/1.47 % (6072)Instruction limit reached!
% 1.78/1.47 % (6072)------------------------------
% 1.78/1.47 % (6072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (6072)Termination reason: Unknown
% 1.78/1.47 % (6072)Termination phase: shuffling
% 1.78/1.47
% 1.78/1.47 % (6072)Memory used [KB]: 1023
% 1.78/1.47 % (6072)Time elapsed: 0.004 s
% 1.78/1.47 % (6072)Instructions burned: 5 (million)
% 1.78/1.47 % (6072)------------------------------
% 1.78/1.47 % (6072)------------------------------
% 1.78/1.47 % (6078)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/3Mi)
% 1.78/1.47 % (6078)Instruction limit reached!
% 1.78/1.47 % (6078)------------------------------
% 1.78/1.47 % (6078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (6078)Termination reason: Unknown
% 1.78/1.47 % (6078)Termination phase: Preprocessing 3
% 1.78/1.47
% 1.78/1.47 % (6078)Memory used [KB]: 1023
% 1.78/1.47 % (6078)Time elapsed: 0.003 s
% 1.78/1.47 % (6078)Instructions burned: 4 (million)
% 1.78/1.47 % (6078)------------------------------
% 1.78/1.47 % (6078)------------------------------
% 1.78/1.48 % (6077)Instruction limit reached!
% 1.78/1.48 % (6077)------------------------------
% 1.78/1.48 % (6077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (6077)Termination reason: Unknown
% 1.78/1.48 % (6077)Termination phase: Saturation
% 1.78/1.48
% 1.78/1.48 % (6077)Memory used [KB]: 5628
% 1.78/1.48 % (6077)Time elapsed: 0.013 s
% 1.78/1.48 % (6077)Instructions burned: 19 (million)
% 1.78/1.48 % (6077)------------------------------
% 1.78/1.48 % (6077)------------------------------
% 1.78/1.48 % (6081)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_5780 for (2999ds/3Mi)
% 1.78/1.48 % (6080)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_5780 for (2999ds/15Mi)
% 1.78/1.48 % (6081)Instruction limit reached!
% 1.78/1.48 % (6081)------------------------------
% 1.78/1.48 % (6081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (6081)Termination reason: Unknown
% 1.78/1.48 % (6081)Termination phase: Preprocessing 3
% 1.78/1.48
% 1.78/1.48 % (6081)Memory used [KB]: 1023
% 1.78/1.48 % (6081)Time elapsed: 0.003 s
% 1.78/1.48 % (6081)Instructions burned: 4 (million)
% 1.78/1.48 % (6081)------------------------------
% 1.78/1.48 % (6081)------------------------------
% 1.78/1.48 % (6073)Instruction limit reached!
% 1.78/1.48 % (6073)------------------------------
% 1.78/1.48 % (6073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (6073)Termination reason: Unknown
% 1.78/1.48 % (6073)Termination phase: Saturation
% 1.78/1.48
% 1.78/1.48 % (6073)Memory used [KB]: 5756
% 1.78/1.48 % (6073)Time elapsed: 0.020 s
% 1.78/1.48 % (6073)Instructions burned: 27 (million)
% 1.78/1.48 % (6073)------------------------------
% 1.78/1.48 % (6073)------------------------------
% 1.78/1.48 % (6079)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_5780 for (2999ds/37Mi)
% 1.78/1.48 % Exception at run slice level
% 1.78/1.48 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
% 1.78/1.49 % (6080)Instruction limit reached!
% 1.78/1.49 % (6080)------------------------------
% 1.78/1.49 % (6080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.49 % (6080)Termination reason: Unknown
% 1.78/1.49 % (6080)Termination phase: Saturation
% 1.78/1.49
% 1.78/1.49 % (6080)Memory used [KB]: 5756
% 1.78/1.49 % (6080)Time elapsed: 0.007 s
% 1.78/1.49 % (6080)Instructions burned: 16 (million)
% 1.78/1.49 % (6080)------------------------------
% 1.78/1.49 % (6080)------------------------------
% 1.78/1.49 % (6083)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/7Mi)
% 1.78/1.49 % (6082)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_5780 for (2999ds/1041Mi)
% 1.78/1.49 % (6083)Instruction limit reached!
% 1.78/1.49 % (6083)------------------------------
% 1.78/1.49 % (6083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.49 % (6083)Termination reason: Unknown
% 1.78/1.49 % (6083)Termination phase: Function definition elimination
% 1.78/1.49
% 1.78/1.49 % (6083)Memory used [KB]: 1151
% 1.78/1.49 % (6083)Time elapsed: 0.004 s
% 1.78/1.49 % (6083)Instructions burned: 7 (million)
% 1.78/1.49 % (6083)------------------------------
% 1.78/1.49 % (6083)------------------------------
% 1.78/1.49 % Exception at run slice level
% 1.78/1.49 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
% 1.86/1.50 % (6086)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_5780 for (2999ds/3Mi)
% 1.86/1.50 % (6086)Instruction limit reached!
% 1.86/1.50 % (6086)------------------------------
% 1.86/1.50 % (6086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.50 % (6086)Termination reason: Unknown
% 1.86/1.50 % (6086)Termination phase: Preprocessing 1
% 1.86/1.50
% 1.86/1.50 % (6086)Memory used [KB]: 1023
% 1.86/1.50 % (6086)Time elapsed: 0.003 s
% 1.86/1.50 % (6086)Instructions burned: 4 (million)
% 1.86/1.50 % (6086)------------------------------
% 1.86/1.50 % (6086)------------------------------
% 1.86/1.50 % (6084)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/16Mi)
% 1.86/1.50 % (6085)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_5780 for (2999ds/3Mi)
% 1.86/1.50 % (6085)Instruction limit reached!
% 1.86/1.50 % (6085)------------------------------
% 1.86/1.50 % (6085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.50 % (6085)Termination reason: Unknown
% 1.86/1.50 % (6085)Termination phase: Preprocessing 1
% 1.86/1.50
% 1.86/1.50 % (6085)Memory used [KB]: 1023
% 1.86/1.50 % (6085)Time elapsed: 0.004 s
% 1.86/1.50 % (6085)Instructions burned: 4 (million)
% 1.86/1.50 % (6085)------------------------------
% 1.86/1.50 % (6085)------------------------------
% 1.86/1.50 % (6087)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/7Mi)
% 1.86/1.51 % (6087)Instruction limit reached!
% 1.86/1.51 % (6087)------------------------------
% 1.86/1.51 % (6087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.51 % (6087)Termination reason: Unknown
% 1.86/1.51 % (6087)Termination phase: Saturation
% 1.86/1.51
% 1.86/1.51 % (6087)Memory used [KB]: 1151
% 1.86/1.51 % (6087)Time elapsed: 0.004 s
% 1.86/1.51 % (6087)Instructions burned: 9 (million)
% 1.86/1.51 % (6087)------------------------------
% 1.86/1.51 % (6087)------------------------------
% 1.86/1.51 % (6089)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/4Mi)
% 1.86/1.51 % (6089)Instruction limit reached!
% 1.86/1.51 % (6089)------------------------------
% 1.86/1.51 % (6089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.51 % (6089)Termination reason: Unknown
% 1.86/1.51 % (6089)Termination phase: Preprocessing 3
% 1.86/1.51
% 1.86/1.51 % (6089)Memory used [KB]: 1023
% 1.86/1.51 % (6089)Time elapsed: 0.003 s
% 1.86/1.51 % (6089)Instructions burned: 4 (million)
% 1.86/1.51 % (6089)------------------------------
% 1.86/1.51 % (6089)------------------------------
% 1.86/1.51 % (6084)Instruction limit reached!
% 1.86/1.51 % (6084)------------------------------
% 1.86/1.51 % (6084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.51 % (6084)Termination reason: Unknown
% 1.86/1.51 % (6084)Termination phase: Saturation
% 1.86/1.51
% 1.86/1.51 % (6084)Memory used [KB]: 5756
% 1.86/1.51 % (6084)Time elapsed: 0.012 s
% 1.86/1.51 % (6084)Instructions burned: 17 (million)
% 1.86/1.51 % (6084)------------------------------
% 1.86/1.51 % (6084)------------------------------
% 1.86/1.51 % (6088)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/3Mi)
% 1.86/1.51 % (6088)Instruction limit reached!
% 1.86/1.51 % (6088)------------------------------
% 1.86/1.51 % (6088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.51 % (6088)Termination reason: Unknown
% 1.86/1.51 % (6088)Termination phase: shuffling
% 1.86/1.51
% 1.86/1.51 % (6088)Memory used [KB]: 1023
% 1.86/1.51 % (6088)Time elapsed: 0.004 s
% 1.86/1.51 % (6088)Instructions burned: 4 (million)
% 1.86/1.51 % (6088)------------------------------
% 1.86/1.51 % (6088)------------------------------
% 1.86/1.52 % (6091)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/710Mi)
% 1.86/1.52 % (6092)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/6Mi)
% 1.86/1.52 % (6090)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/18Mi)
% 1.86/1.52 % (6092)Instruction limit reached!
% 1.86/1.52 % (6092)------------------------------
% 1.86/1.52 % (6092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.52 % (6092)Termination reason: Unknown
% 1.86/1.52 % (6092)Termination phase: Equality resolution with deletion
% 1.86/1.52
% 1.86/1.52 % (6092)Memory used [KB]: 1151
% 1.86/1.52 % (6092)Time elapsed: 0.004 s
% 1.86/1.52 % (6092)Instructions burned: 7 (million)
% 1.86/1.52 % (6092)------------------------------
% 1.86/1.52 % (6092)------------------------------
% 1.86/1.53 % (6093)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_5780 for (2999ds/902Mi)
% 1.86/1.53 % (6094)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_5780 for (2999ds/21Mi)
% 1.86/1.53 % (6090)Instruction limit reached!
% 1.86/1.53 % (6090)------------------------------
% 1.86/1.53 % (6090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.53 % (6090)Termination reason: Unknown
% 1.86/1.53 % (6090)Termination phase: Saturation
% 1.86/1.53
% 1.86/1.53 % (6090)Memory used [KB]: 5756
% 1.86/1.53 % (6090)Time elapsed: 0.013 s
% 1.86/1.53 % (6090)Instructions burned: 19 (million)
% 1.86/1.53 % (6090)------------------------------
% 1.86/1.53 % (6090)------------------------------
% 1.86/1.53 % (6095)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/5Mi)
% 1.86/1.53 % Exception at run slice level
% 1.86/1.53 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
% 1.86/1.54 % (6098)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_5780 for (2999ds/377Mi)
% 1.86/1.54 % (6094)Instruction limit reached!
% 1.86/1.54 % (6094)------------------------------
% 1.86/1.54 % (6094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.54 % (6094)Termination reason: Unknown
% 1.86/1.54 % (6094)Termination phase: Saturation
% 1.86/1.54
% 1.86/1.54 % (6094)Memory used [KB]: 5884
% 1.86/1.54 % (6094)Time elapsed: 0.015 s
% 1.86/1.54 % (6094)Instructions burned: 21 (million)
% 1.86/1.54 % (6094)------------------------------
% 1.86/1.54 % (6094)------------------------------
% 1.86/1.55 % (6097)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_5780 for (2999ds/6Mi)
% 1.86/1.55 % Exception at run slice level
% 1.86/1.55 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
% 1.86/1.56 % (6099)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_5780 for (2999ds/779Mi)
% 1.86/1.56 % Exception at run slice level
% 1.86/1.56 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
% 1.86/1.57 % (6100)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_5780 for (2999ds/19Mi)
% 1.86/1.57 % Exception at run slice level
% 1.86/1.57 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
% 1.86/1.57 % (6071)Instruction limit reached!
% 1.86/1.57 % (6071)------------------------------
% 1.86/1.57 % (6071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.57 % (6071)Termination reason: Unknown
% 1.86/1.57 % (6071)Termination phase: Saturation
% 1.86/1.57
% 1.86/1.57 % (6071)Memory used [KB]: 6780
% 1.86/1.57 % (6071)Time elapsed: 0.111 s
% 1.86/1.57 % (6071)Instructions burned: 184 (million)
% 1.86/1.57 % (6071)------------------------------
% 1.86/1.57 % (6071)------------------------------
% 1.86/1.58 % (6101)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/879Mi)
% 1.86/1.58 % (6102)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/17Mi)
% 1.86/1.59 % (6103)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/3Mi)
% 1.86/1.59 % (6102)Instruction limit reached!
% 1.86/1.59 % (6102)------------------------------
% 1.86/1.59 % (6102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.59 % (6102)Termination reason: Unknown
% 1.86/1.59 % (6102)Termination phase: Saturation
% 1.86/1.59
% 1.86/1.59 % (6102)Memory used [KB]: 5756
% 1.86/1.59 % (6102)Time elapsed: 0.008 s
% 1.86/1.59 % (6102)Instructions burned: 17 (million)
% 1.86/1.59 % (6102)------------------------------
% 1.86/1.59 % (6102)------------------------------
% 1.86/1.59 % (6103)Instruction limit reached!
% 1.86/1.59 % (6103)------------------------------
% 1.86/1.59 % (6103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.59 % (6103)Termination reason: Unknown
% 1.86/1.59 % (6103)Termination phase: Property scanning
% 1.86/1.59
% 1.86/1.59 % (6103)Memory used [KB]: 1023
% 1.86/1.59 % (6103)Time elapsed: 0.003 s
% 1.86/1.59 % (6103)Instructions burned: 3 (million)
% 1.86/1.59 % (6103)------------------------------
% 1.86/1.59 % (6103)------------------------------
% 1.86/1.60 % (6076)Instruction limit reached!
% 1.86/1.60 % (6076)------------------------------
% 1.86/1.60 % (6076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.60 % (6076)Termination reason: Unknown
% 1.86/1.60 % (6076)Termination phase: Saturation
% 1.86/1.60
% 1.86/1.60 % (6076)Memory used [KB]: 6396
% 1.86/1.60 % (6076)Time elapsed: 0.136 s
% 1.86/1.60 % (6076)Instructions burned: 277 (million)
% 1.86/1.60 % (6076)------------------------------
% 1.86/1.60 % (6076)------------------------------
% 1.86/1.60 % (6104)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/30Mi)
% 1.86/1.60 % (6105)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/127Mi)
% 1.86/1.61 % (6106)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_5780 for (2998ds/100Mi)
% 1.86/1.61 % (6104)Instruction limit reached!
% 1.86/1.61 % (6104)------------------------------
% 1.86/1.61 % (6104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.61 % (6104)Termination reason: Unknown
% 1.86/1.61 % (6104)Termination phase: Saturation
% 1.86/1.61
% 1.86/1.61 % (6104)Memory used [KB]: 5756
% 1.86/1.61 % (6104)Time elapsed: 0.013 s
% 1.86/1.61 % (6104)Instructions burned: 32 (million)
% 1.86/1.61 % (6104)------------------------------
% 1.86/1.61 % (6104)------------------------------
% 1.86/1.62 % (6107)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_5780 for (2998ds/3Mi)
% 1.86/1.62 % Exception at run slice level
% 1.86/1.62 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
% 1.86/1.63 % (6108)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_5780 for (2998ds/20Mi)
% 1.86/1.64 % (6108)Instruction limit reached!
% 1.86/1.64 % (6108)------------------------------
% 1.86/1.64 % (6108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.64 % (6108)Termination reason: Unknown
% 1.86/1.64 % (6108)Termination phase: Saturation
% 1.86/1.64
% 1.86/1.64 % (6108)Memory used [KB]: 5756
% 1.86/1.64 % (6108)Time elapsed: 0.009 s
% 1.86/1.64 % (6108)Instructions burned: 20 (million)
% 1.86/1.64 % (6108)------------------------------
% 1.86/1.64 % (6108)------------------------------
% 1.86/1.64 % (6106)Instruction limit reached!
% 1.86/1.64 % (6106)------------------------------
% 1.86/1.64 % (6106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.64 % (6106)Termination reason: Unknown
% 1.86/1.64 % (6106)Termination phase: Saturation
% 1.86/1.64
% 1.86/1.64 % (6106)Memory used [KB]: 5884
% 1.86/1.64 % (6106)Time elapsed: 0.033 s
% 1.86/1.64 % (6106)Instructions burned: 102 (million)
% 1.86/1.64 % (6106)------------------------------
% 1.86/1.64 % (6106)------------------------------
% 1.86/1.64 % (6105)Instruction limit reached!
% 1.86/1.64 % (6105)------------------------------
% 1.86/1.64 % (6105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.64 % (6105)Termination reason: Unknown
% 1.86/1.64 % (6105)Termination phase: Saturation
% 1.86/1.64
% 1.86/1.64 % (6105)Memory used [KB]: 6524
% 1.86/1.64 % (6105)Time elapsed: 0.067 s
% 1.86/1.64 % (6105)Instructions burned: 128 (million)
% 1.86/1.64 % (6105)------------------------------
% 1.86/1.64 % (6105)------------------------------
% 1.86/1.65 % (6109)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_5780 for (2998ds/86Mi)
% 1.86/1.65 % (6110)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_5780 for (2998ds/107Mi)
% 1.86/1.65 % (6111)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_5780 for (2998ds/39Mi)
% 1.86/1.65 % Exception at run slice level
% 1.86/1.65 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
% 1.86/1.66 % (6112)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_5780 for (2998ds/448Mi)
% 1.86/1.67 % Exception at run slice level
% 1.86/1.67 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
% 1.86/1.68 % (6113)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_5780 for (2998ds/46Mi)
% 1.86/1.68 % (6098)Instruction limit reached!
% 1.86/1.68 % (6098)------------------------------
% 1.86/1.68 % (6098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.68 % (6098)Termination reason: Unknown
% 1.86/1.68 % (6098)Termination phase: Saturation
% 1.86/1.68
% 1.86/1.68 % (6098)Memory used [KB]: 6652
% 1.86/1.68 % (6098)Time elapsed: 0.137 s
% 1.86/1.68 % (6098)Instructions burned: 379 (million)
% 1.86/1.68 % (6098)------------------------------
% 1.86/1.68 % (6098)------------------------------
% 1.86/1.68 % (6109)Instruction limit reached!
% 1.86/1.68 % (6109)------------------------------
% 1.86/1.68 % (6109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.68 % (6109)Termination reason: Unknown
% 1.86/1.68 % (6109)Termination phase: Saturation
% 1.86/1.68
% 1.86/1.68 % (6109)Memory used [KB]: 5884
% 1.86/1.68 % (6109)Time elapsed: 0.054 s
% 1.86/1.68 % (6109)Instructions burned: 88 (million)
% 1.86/1.68 % (6109)------------------------------
% 1.86/1.68 % (6109)------------------------------
% 1.86/1.69 % (6110)Instruction limit reached!
% 1.86/1.69 % (6110)------------------------------
% 1.86/1.69 % (6110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.69 % (6110)Termination reason: Unknown
% 1.86/1.69 % (6110)Termination phase: Saturation
% 1.86/1.69
% 1.86/1.69 % (6110)Memory used [KB]: 6012
% 1.86/1.69 % (6110)Time elapsed: 0.061 s
% 1.86/1.69 % (6110)Instructions burned: 107 (million)
% 1.86/1.69 % (6110)------------------------------
% 1.86/1.69 % (6110)------------------------------
% 1.86/1.69 % (6114)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_5780 for (2997ds/98Mi)
% 1.86/1.69 % (6115)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_5780 for (2997ds/507Mi)
% 1.86/1.69 % Exception at run slice level
% 1.86/1.69 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
% 1.86/1.69 % (6113)Instruction limit reached!
% 1.86/1.69 % (6113)------------------------------
% 1.86/1.69 % (6113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.69 % (6113)Termination reason: Unknown
% 1.86/1.69 % (6113)Termination phase: Saturation
% 1.86/1.69
% 1.86/1.69 % (6113)Memory used [KB]: 5884
% 1.86/1.69 % (6113)Time elapsed: 0.043 s
% 1.86/1.69 % (6113)Instructions burned: 48 (million)
% 1.86/1.69 % (6113)------------------------------
% 1.86/1.69 % (6113)------------------------------
% 1.86/1.70 % (6116)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_5780 for (2997ds/149Mi)
% 1.86/1.70 % (6117)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_5780 for (2997ds/39Mi)
% 1.86/1.70 % (6118)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_5780 for (2997ds/6Mi)
% 1.86/1.70 % Exception at run slice level
% 1.86/1.70 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
% 1.86/1.71 % (6119)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_5780 for (2997ds/1087Mi)
% 1.86/1.71 % (6117)Instruction limit reached!
% 1.86/1.71 % (6117)------------------------------
% 1.86/1.71 % (6117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.71 % (6117)Termination reason: Unknown
% 1.86/1.71 % (6117)Termination phase: Saturation
% 1.86/1.71
% 1.86/1.71 % (6117)Memory used [KB]: 5884
% 1.86/1.71 % (6117)Time elapsed: 0.041 s
% 1.86/1.71 % (6117)Instructions burned: 40 (million)
% 1.86/1.71 % (6117)------------------------------
% 1.86/1.71 % (6117)------------------------------
% 1.86/1.72 % (6120)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_5780 for (2997ds/47Mi)
% 1.86/1.74 % (6120)Instruction limit reached!
% 1.86/1.74 % (6120)------------------------------
% 1.86/1.74 % (6120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.74 % (6120)Termination reason: Unknown
% 1.86/1.74 % (6120)Termination phase: Saturation
% 1.86/1.74
% 1.86/1.74 % (6120)Memory used [KB]: 5884
% 1.86/1.74 % (6120)Time elapsed: 0.019 s
% 1.86/1.74 % (6120)Instructions burned: 48 (million)
% 1.86/1.74 % (6120)------------------------------
% 1.86/1.74 % (6120)------------------------------
% 1.86/1.75 % (6116)Instruction limit reached!
% 1.86/1.75 % (6116)------------------------------
% 1.86/1.75 % (6116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.75 % (6116)Termination reason: Unknown
% 1.86/1.75 % (6116)Termination phase: Saturation
% 1.86/1.75
% 1.86/1.75 % (6116)Memory used [KB]: 6268
% 1.86/1.75 % (6116)Time elapsed: 0.079 s
% 1.86/1.75 % (6116)Instructions burned: 149 (million)
% 1.86/1.75 % (6116)------------------------------
% 1.86/1.75 % (6116)------------------------------
% 1.86/1.75 % (6121)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_5780 for (2997ds/44Mi)
% 1.86/1.75 % Exception at run slice level
% 1.86/1.75 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
% 1.86/1.75 % (6091)Instruction limit reached!
% 1.86/1.75 % (6091)------------------------------
% 1.86/1.75 % (6091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.75 % (6091)Termination reason: Unknown
% 1.86/1.75 % (6091)Termination phase: Saturation
% 1.86/1.75
% 1.86/1.75 % (6091)Memory used [KB]: 7419
% 1.86/1.75 % (6091)Time elapsed: 0.238 s
% 1.86/1.75 % (6091)Instructions burned: 711 (million)
% 1.86/1.75 % (6091)------------------------------
% 1.86/1.75 % (6091)------------------------------
% 1.86/1.76 % (6122)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_5780 for (2996ds/432Mi)
% 1.86/1.76 % Exception at run slice level
% 1.86/1.76 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
% 1.86/1.76 % (6124)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_5780 for (2996ds/31Mi)
% 1.86/1.76 % (6123)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/62Mi)
% 1.86/1.76 % Exception at run slice level
% 1.86/1.76 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
% 1.86/1.77 % (6125)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/96Mi)
% 1.86/1.77 % (6124)Instruction limit reached!
% 1.86/1.77 % (6124)------------------------------
% 1.86/1.77 % (6124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.77 % (6124)Termination reason: Unknown
% 1.86/1.77 % (6124)Termination phase: Saturation
% 1.86/1.77
% 1.86/1.77 % (6124)Memory used [KB]: 5884
% 1.86/1.77 % (6124)Time elapsed: 0.012 s
% 1.86/1.77 % (6124)Instructions burned: 33 (million)
% 1.86/1.77 % (6124)------------------------------
% 1.86/1.77 % (6124)------------------------------
% 1.86/1.77 % (6126)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_5780 for (2996ds/453Mi)
% 1.86/1.78 % Exception at run slice level
% 1.86/1.78 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
% 1.86/1.78 % (6127)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_5780 for (2996ds/71Mi)
% 1.86/1.79 % (6128)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/83Mi)
% 1.86/1.81 % (6127)Instruction limit reached!
% 1.86/1.81 % (6127)------------------------------
% 1.86/1.81 % (6127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.81 % (6127)Termination reason: Unknown
% 1.86/1.81 % (6127)Termination phase: Saturation
% 1.86/1.81
% 1.86/1.81 % (6127)Memory used [KB]: 5884
% 1.86/1.81 % (6127)Time elapsed: 0.025 s
% 1.86/1.81 % (6127)Instructions burned: 71 (million)
% 1.86/1.81 % (6127)------------------------------
% 1.86/1.81 % (6127)------------------------------
% 1.86/1.81 % (6125)Instruction limit reached!
% 1.86/1.81 % (6125)------------------------------
% 1.86/1.81 % (6125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.81 % (6125)Termination reason: Unknown
% 1.86/1.81 % (6125)Termination phase: Saturation
% 1.86/1.81
% 1.86/1.81 % (6125)Memory used [KB]: 6012
% 1.86/1.81 % (6125)Time elapsed: 0.037 s
% 1.86/1.81 % (6125)Instructions burned: 98 (million)
% 1.86/1.81 % (6125)------------------------------
% 1.86/1.81 % (6125)------------------------------
% 1.86/1.81 % (6128)Instruction limit reached!
% 1.86/1.81 % (6128)------------------------------
% 1.86/1.81 % (6128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.81 % (6128)Termination reason: Unknown
% 1.86/1.81 % (6128)Termination phase: Saturation
% 1.86/1.81
% 1.86/1.81 % (6128)Memory used [KB]: 6012
% 1.86/1.81 % (6128)Time elapsed: 0.029 s
% 1.86/1.81 % (6128)Instructions burned: 85 (million)
% 1.86/1.81 % (6128)------------------------------
% 1.86/1.81 % (6128)------------------------------
% 1.86/1.82 % (6129)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/11Mi)
% 1.86/1.82 % (6130)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_5780 for (2996ds/41Mi)
% 1.86/1.82 % Exception at run slice level
% 1.86/1.82 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
% 1.86/1.82 % Exception at run slice level
% 1.86/1.82 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
% 1.86/1.82 % (6131)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/6Mi)
% 1.86/1.83 % (6131)Instruction limit reached!
% 1.86/1.83 % (6131)------------------------------
% 1.86/1.83 % (6131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.83 % (6131)Termination reason: Unknown
% 1.86/1.83 % (6131)Termination phase: Function definition elimination
% 1.86/1.83
% 1.86/1.83 % (6131)Memory used [KB]: 1151
% 1.86/1.83 % (6131)Time elapsed: 0.004 s
% 1.86/1.83 % (6131)Instructions burned: 7 (million)
% 1.86/1.83 % (6131)------------------------------
% 1.86/1.83 % (6131)------------------------------
% 1.86/1.83 % (6132)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/150Mi)
% 1.86/1.83 % (6133)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_5780 for (2996ds/343Mi)
% 1.86/1.84 % (6134)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_5780 for (2996ds/109Mi)
% 1.86/1.86 % (6093)Instruction limit reached!
% 1.86/1.86 % (6093)------------------------------
% 1.86/1.86 % (6093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.86 % (6093)Termination reason: Unknown
% 1.86/1.86 % (6093)Termination phase: Saturation
% 1.86/1.86
% 1.86/1.86 % (6093)Memory used [KB]: 9594
% 1.86/1.86 % (6093)Time elapsed: 0.336 s
% 1.86/1.86 % (6093)Instructions burned: 903 (million)
% 1.86/1.86 % (6093)------------------------------
% 1.86/1.86 % (6093)------------------------------
% 1.86/1.86 % (6115)Instruction limit reached!
% 1.86/1.86 % (6115)------------------------------
% 1.86/1.86 % (6115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.86 % (6115)Termination reason: Unknown
% 1.86/1.86 % (6115)Termination phase: Saturation
% 1.86/1.86
% 1.86/1.86 % (6115)Memory used [KB]: 6652
% 1.86/1.86 % (6115)Time elapsed: 0.197 s
% 1.86/1.86 % (6115)Instructions burned: 507 (million)
% 1.86/1.86 % (6115)------------------------------
% 1.86/1.86 % (6115)------------------------------
% 1.86/1.87 % (6101)Instruction limit reached!
% 1.86/1.87 % (6101)------------------------------
% 1.86/1.87 % (6101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.87 % (6101)Termination reason: Unknown
% 1.86/1.87 % (6101)Termination phase: Saturation
% 1.86/1.87
% 1.86/1.87 % (6101)Memory used [KB]: 7547
% 1.86/1.87 % (6101)Time elapsed: 0.295 s
% 1.86/1.87 % (6101)Instructions burned: 879 (million)
% 1.86/1.87 % (6101)------------------------------
% 1.86/1.87 % (6101)------------------------------
% 1.86/1.87 % (6135)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_5780 for (2995ds/253Mi)
% 1.86/1.87 % (6136)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/140Mi)
% 1.86/1.87 % (6134)Instruction limit reached!
% 1.86/1.87 % (6134)------------------------------
% 1.86/1.87 % (6134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.87 % (6134)Termination reason: Unknown
% 1.86/1.87 % (6134)Termination phase: Saturation
% 1.86/1.87
% 1.86/1.87 % (6134)Memory used [KB]: 6012
% 1.86/1.87 % (6134)Time elapsed: 0.040 s
% 1.86/1.87 % (6134)Instructions burned: 110 (million)
% 1.86/1.87 % (6134)------------------------------
% 1.86/1.87 % (6134)------------------------------
% 1.86/1.88 % (6132)Instruction limit reached!
% 1.86/1.88 % (6132)------------------------------
% 1.86/1.88 % (6132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.88 % (6132)Termination reason: Unknown
% 1.86/1.88 % (6132)Termination phase: Saturation
% 1.86/1.88
% 1.86/1.88 % (6132)Memory used [KB]: 6140
% 1.86/1.88 % (6132)Time elapsed: 0.049 s
% 1.86/1.88 % (6132)Instructions burned: 151 (million)
% 1.86/1.88 % (6132)------------------------------
% 1.86/1.88 % (6132)------------------------------
% 1.86/1.88 % (6137)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_5780 for (2995ds/614Mi)
% 1.86/1.88 % (6138)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_5780 for (2995ds/202Mi)
% 1.86/1.88 % (6139)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_5780 for (2995ds/339Mi)
% 1.86/1.92 % (6136)Instruction limit reached!
% 1.86/1.92 % (6136)------------------------------
% 1.86/1.92 % (6136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.92 % (6136)Termination reason: Unknown
% 1.86/1.92 % (6136)Termination phase: Saturation
% 1.86/1.92
% 1.86/1.92 % (6136)Memory used [KB]: 6396
% 1.86/1.92 % (6136)Time elapsed: 0.053 s
% 1.86/1.92 % (6136)Instructions burned: 141 (million)
% 1.86/1.92 % (6136)------------------------------
% 1.86/1.92 % (6136)------------------------------
% 1.86/1.93 % (6140)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_5780 for (2995ds/283Mi)
% 1.86/1.94 % Exception at run slice level
% 1.86/1.94 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
% 1.86/1.94 % (6133)Instruction limit reached!
% 1.86/1.94 % (6133)------------------------------
% 1.86/1.94 % (6133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.94 % (6133)Termination reason: Unknown
% 1.86/1.94 % (6133)Termination phase: Saturation
% 1.86/1.94
% 1.86/1.94 % (6133)Memory used [KB]: 6780
% 1.86/1.94 % (6133)Time elapsed: 0.117 s
% 1.86/1.94 % (6133)Instructions burned: 343 (million)
% 1.86/1.94 % (6133)------------------------------
% 1.86/1.94 % (6133)------------------------------
% 1.86/1.94 % (6138)Instruction limit reached!
% 1.86/1.94 % (6138)------------------------------
% 1.86/1.94 % (6138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.94 % (6138)Termination reason: Unknown
% 1.86/1.94 % (6138)Termination phase: Saturation
% 1.86/1.94
% 1.86/1.94 % (6138)Memory used [KB]: 6268
% 1.86/1.94 % (6138)Time elapsed: 0.062 s
% 1.86/1.94 % (6138)Instructions burned: 204 (million)
% 1.86/1.94 % (6138)------------------------------
% 1.86/1.94 % (6138)------------------------------
% 1.86/1.95 % (6141)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/134Mi)
% 1.86/1.95 % (6142)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/298Mi)
% 1.86/1.95 % (6143)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/192Mi)
% 1.86/1.95 % Exception at run slice level
% 1.86/1.95 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
% 1.86/1.96 % (6135)Instruction limit reached!
% 1.86/1.96 % (6135)------------------------------
% 1.86/1.96 % (6135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.96 % (6135)Termination reason: Unknown
% 1.86/1.96 % (6135)Termination phase: Saturation
% 1.86/1.96
% 1.86/1.96 % (6135)Memory used [KB]: 6268
% 1.86/1.96 % (6135)Time elapsed: 0.086 s
% 1.86/1.96 % (6135)Instructions burned: 254 (million)
% 1.86/1.96 % (6135)------------------------------
% 1.86/1.96 % (6135)------------------------------
% 1.86/1.96 % (6144)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/258Mi)
% 1.86/1.97 % (6145)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_5780 for (2995ds/90Mi)
% 1.86/1.99 % (6141)Instruction limit reached!
% 1.86/1.99 % (6141)------------------------------
% 1.86/1.99 % (6141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.99 % (6141)Termination reason: Unknown
% 1.86/1.99 % (6141)Termination phase: Saturation
% 1.86/1.99
% 1.86/1.99 % (6141)Memory used [KB]: 6268
% 1.86/1.99 % (6141)Time elapsed: 0.048 s
% 1.86/1.99 % (6141)Instructions burned: 134 (million)
% 1.86/1.99 % (6141)------------------------------
% 1.86/1.99 % (6141)------------------------------
% 1.86/1.99 % (6139)Instruction limit reached!
% 1.86/1.99 % (6139)------------------------------
% 1.86/1.99 % (6139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.99 % (6139)Termination reason: Unknown
% 1.86/1.99 % (6139)Termination phase: Saturation
% 1.86/1.99
% 1.86/1.99 % (6139)Memory used [KB]: 6524
% 1.86/1.99 % (6139)Time elapsed: 0.108 s
% 1.86/1.99 % (6139)Instructions burned: 341 (million)
% 1.86/1.99 % (6139)------------------------------
% 1.86/1.99 % (6139)------------------------------
% 1.86/1.99 % (6145)Instruction limit reached!
% 1.86/1.99 % (6145)------------------------------
% 1.86/1.99 % (6145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.86/1.99 % (6145)Termination reason: Unknown
% 1.86/1.99 % (6145)Termination phase: Saturation
% 1.86/1.99
% 1.86/1.99 % (6145)Memory used [KB]: 6012
% 1.86/1.99 % (6145)Time elapsed: 0.030 s
% 1.86/1.99 % (6145)Instructions burned: 93 (million)
% 1.86/1.99 % (6145)------------------------------
% 1.86/1.99 % (6145)------------------------------
% 1.86/2.00 % (6146)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/231Mi)
% 1.86/2.00 % (6147)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/458Mi)
% 1.86/2.00 % Exception at run slice level
% 1.86/2.00 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
% 1.86/2.00 % (6148)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_5780 for (2994ds/31Mi)
% 5.75/2.01 % (6149)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/297Mi)
% 5.75/2.01 % Exception at run slice level
% 5.75/2.01 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
% 5.75/2.01 % (6148)Instruction limit reached!
% 5.75/2.01 % (6148)------------------------------
% 5.75/2.01 % (6148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.01 % (6148)Termination reason: Unknown
% 5.75/2.01 % (6148)Termination phase: Saturation
% 5.75/2.01
% 5.75/2.01 % (6148)Memory used [KB]: 5884
% 5.75/2.01 % (6148)Time elapsed: 0.011 s
% 5.75/2.01 % (6148)Instructions burned: 32 (million)
% 5.75/2.01 % (6148)------------------------------
% 5.75/2.01 % (6148)------------------------------
% 5.75/2.02 % (6150)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/987Mi)
% 5.75/2.02 % (6151)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/182Mi)
% 5.75/2.02 % Exception at run slice level
% 5.75/2.02 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
% 5.75/2.03 % (6143)Instruction limit reached!
% 5.75/2.03 % (6143)------------------------------
% 5.75/2.03 % (6143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.03 % (6143)Termination reason: Unknown
% 5.75/2.03 % (6143)Termination phase: Saturation
% 5.75/2.03
% 5.75/2.03 % (6143)Memory used [KB]: 6140
% 5.75/2.03 % (6143)Time elapsed: 0.073 s
% 5.75/2.03 % (6143)Instructions burned: 192 (million)
% 5.75/2.03 % (6143)------------------------------
% 5.75/2.03 % (6143)------------------------------
% 5.75/2.03 % (6152)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/182Mi)
% 5.75/2.04 % (6153)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/154Mi)
% 5.75/2.05 % Exception at run slice level
% 5.75/2.05 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
% 5.75/2.05 % (6144)Instruction limit reached!
% 5.75/2.05 % (6144)------------------------------
% 5.75/2.05 % (6144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.05 % (6144)Termination reason: Unknown
% 5.75/2.05 % (6144)Termination phase: Saturation
% 5.75/2.05
% 5.75/2.05 % (6144)Memory used [KB]: 6140
% 5.75/2.05 % (6144)Time elapsed: 0.083 s
% 5.75/2.05 % (6144)Instructions burned: 259 (million)
% 5.75/2.05 % (6144)------------------------------
% 5.75/2.05 % (6144)------------------------------
% 5.75/2.06 % (6155)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/216Mi)
% 5.75/2.06 % Exception at run slice level
% 5.75/2.06 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
% 5.75/2.06 % (6154)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_5780 for (2994ds/79Mi)
% 5.75/2.07 % (6156)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/114Mi)
% 5.75/2.08 % (6119)Instruction limit reached!
% 5.75/2.08 % (6119)------------------------------
% 5.75/2.08 % (6119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.08 % (6119)Termination reason: Unknown
% 5.75/2.08 % (6119)Termination phase: Saturation
% 5.75/2.08
% 5.75/2.08 % (6119)Memory used [KB]: 7547
% 5.75/2.08 % (6119)Time elapsed: 0.368 s
% 5.75/2.08 % (6119)Instructions burned: 1087 (million)
% 5.75/2.08 % (6119)------------------------------
% 5.75/2.08 % (6119)------------------------------
% 5.75/2.08 % (6137)Instruction limit reached!
% 5.75/2.08 % (6137)------------------------------
% 5.75/2.08 % (6137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.08 % (6137)Termination reason: Unknown
% 5.75/2.08 % (6137)Termination phase: Saturation
% 5.75/2.08
% 5.75/2.08 % (6137)Memory used [KB]: 7547
% 5.75/2.08 % (6137)Time elapsed: 0.203 s
% 5.75/2.08 % (6137)Instructions burned: 616 (million)
% 5.75/2.08 % (6137)------------------------------
% 5.75/2.08 % (6137)------------------------------
% 5.75/2.08 % (6151)Instruction limit reached!
% 5.75/2.08 % (6151)------------------------------
% 5.75/2.08 % (6151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.08 % (6151)Termination reason: Unknown
% 5.75/2.08 % (6151)Termination phase: Saturation
% 5.75/2.08
% 5.75/2.08 % (6151)Memory used [KB]: 6524
% 5.75/2.08 % (6151)Time elapsed: 0.062 s
% 5.75/2.08 % (6151)Instructions burned: 184 (million)
% 5.75/2.08 % (6151)------------------------------
% 5.75/2.08 % (6151)------------------------------
% 5.75/2.09 % (6152)Instruction limit reached!
% 5.75/2.09 % (6152)------------------------------
% 5.75/2.09 % (6152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.09 % (6152)Termination reason: Unknown
% 5.75/2.09 % (6152)Termination phase: Saturation
% 5.75/2.09
% 5.75/2.09 % (6152)Memory used [KB]: 6140
% 5.75/2.09 % (6152)Time elapsed: 0.057 s
% 5.75/2.09 % (6152)Instructions burned: 182 (million)
% 5.75/2.09 % (6152)------------------------------
% 5.75/2.09 % (6152)------------------------------
% 5.75/2.09 % (6157)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/922Mi)
% 5.75/2.09 % (6158)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/182Mi)
% 5.75/2.09 % Exception at run slice level
% 5.75/2.09 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
% 5.75/2.09 % (6159)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/164Mi)
% 5.75/2.10 % (6160)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/50Mi)
% 5.75/2.10 % Exception at run slice level
% 5.75/2.10 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
% 5.75/2.10 % (6159)Refutation not found, incomplete strategy
% 5.75/2.10 % (6159)------------------------------
% 5.75/2.10 % (6159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.10 % (6159)Termination reason: Refutation not found, incomplete strategy
% 5.75/2.10
% 5.75/2.10
% 5.75/2.10 % (6159)Memory used [KB]: 1151
% 5.75/2.10 % (6159)Time elapsed: 0.007 s
% 5.75/2.10 % (6159)Instructions burned: 19 (million)
% 5.75/2.10 % (6159)------------------------------
% 5.75/2.10 % (6159)------------------------------
% 5.75/2.10 % (6161)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/368Mi)
% 5.75/2.10 % (6156)Instruction limit reached!
% 5.75/2.10 % (6156)------------------------------
% 5.75/2.10 % (6156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.10 % (6156)Termination reason: Unknown
% 5.75/2.10 % (6156)Termination phase: Saturation
% 5.75/2.10
% 5.75/2.10 % (6156)Memory used [KB]: 6268
% 5.75/2.10 % (6156)Time elapsed: 0.039 s
% 5.75/2.10 % (6156)Instructions burned: 116 (million)
% 5.75/2.10 % (6156)------------------------------
% 5.75/2.10 % (6156)------------------------------
% 5.75/2.10 % (6154)Instruction limit reached!
% 5.75/2.10 % (6154)------------------------------
% 5.75/2.10 % (6154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.75/2.10 % (6154)Termination reason: Unknown
% 5.75/2.10 % (6154)Termination phase: Saturation
% 5.75/2.10
% 5.75/2.10 % (6154)Memory used [KB]: 6140
% 5.75/2.10 % (6154)Time elapsed: 0.044 s
% 5.75/2.10 % (6154)Instructions burned: 80 (million)
% 5.75/2.10 % (6154)------------------------------
% 5.75/2.10 % (6154)------------------------------
% 5.75/2.11 % (6162)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/1021Mi)
% 5.75/2.11 % (6163)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/267Mi)
% 5.75/2.11 % Exception at run slice level
% 5.75/2.11 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
% 6.42/2.11 % (6164)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/204Mi)
% 6.42/2.11 % (6165)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/26Mi)
% 6.42/2.12 % Exception at run slice level
% 6.42/2.12 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
% 6.42/2.12 % (6166)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/53Mi)
% 6.42/2.12 % Exception at run slice level
% 6.42/2.12 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
% 6.42/2.13 % (6167)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/4436Mi)
% 6.42/2.13 % (6168)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/1539Mi)
% 6.42/2.14 % (6147)Instruction limit reached!
% 6.42/2.14 % (6147)------------------------------
% 6.42/2.14 % (6147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.14 % (6147)Termination reason: Unknown
% 6.42/2.14 % (6147)Termination phase: Saturation
% 6.42/2.14
% 6.42/2.14 % (6147)Memory used [KB]: 6524
% 6.42/2.14 % (6147)Time elapsed: 0.144 s
% 6.42/2.14 % (6147)Instructions burned: 458 (million)
% 6.42/2.14 % (6147)------------------------------
% 6.42/2.14 % (6147)------------------------------
% 6.42/2.15 % (6169)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_5780 for (2993ds/408Mi)
% 6.42/2.18 % (6164)Instruction limit reached!
% 6.42/2.18 % (6164)------------------------------
% 6.42/2.18 % (6164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.42/2.18 % (6164)Termination reason: Unknown
% 6.42/2.18 % (6164)Termination phase: Saturation
% 6.42/2.18
% 6.42/2.18 % (6164)Memory used [KB]: 6140
% 6.42/2.18 % (6164)Time elapsed: 0.064 s
% 6.42/2.18 % (6164)Instructions burned: 204 (million)
% 6.42/2.18 % (6164)------------------------------
% 6.42/2.18 % (6164)------------------------------
% 6.42/2.19 % (6170)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_5780 for (2992ds/5205Mi)
% 6.42/2.19 % Exception at run slice level
% 6.42/2.19 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
% 6.42/2.20 % (6171)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_5780 for (2992ds/1913Mi)
% 6.57/2.22 % (6161)Instruction limit reached!
% 6.57/2.22 % (6161)------------------------------
% 6.57/2.22 % (6161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.22 % (6161)Termination reason: Unknown
% 6.57/2.22 % (6161)Termination phase: Saturation
% 6.57/2.22
% 6.57/2.22 % (6161)Memory used [KB]: 6268
% 6.57/2.22 % (6161)Time elapsed: 0.115 s
% 6.57/2.22 % (6161)Instructions burned: 370 (million)
% 6.57/2.22 % (6161)------------------------------
% 6.57/2.22 % (6161)------------------------------
% 6.57/2.23 % (6172)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_5780 for (2992ds/4350Mi)
% 6.57/2.28 % (6169)Instruction limit reached!
% 6.57/2.28 % (6169)------------------------------
% 6.57/2.28 % (6169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.28 % (6169)Termination reason: Unknown
% 6.57/2.28 % (6169)Termination phase: Saturation
% 6.57/2.28
% 6.57/2.28 % (6169)Memory used [KB]: 6396
% 6.57/2.28 % (6169)Time elapsed: 0.129 s
% 6.57/2.28 % (6169)Instructions burned: 410 (million)
% 6.57/2.28 % (6169)------------------------------
% 6.57/2.28 % (6169)------------------------------
% 6.57/2.29 % (6173)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_5780 for (2991ds/68Mi)
% 6.82/2.31 % (6173)Instruction limit reached!
% 6.82/2.31 % (6173)------------------------------
% 6.82/2.31 % (6173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.82/2.31 % (6173)Termination reason: Unknown
% 6.82/2.31 % (6173)Termination phase: Saturation
% 6.82/2.31
% 6.82/2.31 % (6173)Memory used [KB]: 5884
% 6.82/2.31 % (6173)Time elapsed: 0.025 s
% 6.82/2.31 % (6173)Instructions burned: 70 (million)
% 6.82/2.31 % (6173)------------------------------
% 6.82/2.31 % (6173)------------------------------
% 6.82/2.32 % (6174)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_5780 for (2991ds/358Mi)
% 6.82/2.38 % (6157)Instruction limit reached!
% 6.82/2.38 % (6157)------------------------------
% 6.82/2.38 % (6157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.82/2.38 % (6157)Termination reason: Unknown
% 6.82/2.38 % (6157)Termination phase: Saturation
% 6.82/2.38
% 6.82/2.38 % (6157)Memory used [KB]: 7164
% 6.82/2.38 % (6157)Time elapsed: 0.295 s
% 6.82/2.38 % (6157)Instructions burned: 922 (million)
% 6.82/2.38 % (6157)------------------------------
% 6.82/2.38 % (6157)------------------------------
% 6.82/2.39 % (6175)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_5780 for (2990ds/31Mi)
% 7.16/2.40 % (6175)Instruction limit reached!
% 7.16/2.40 % (6175)------------------------------
% 7.16/2.40 % (6175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.40 % (6175)Termination reason: Unknown
% 7.16/2.40 % (6175)Termination phase: Saturation
% 7.16/2.40
% 7.16/2.40 % (6175)Memory used [KB]: 5884
% 7.16/2.40 % (6175)Time elapsed: 0.011 s
% 7.16/2.40 % (6175)Instructions burned: 31 (million)
% 7.16/2.40 % (6175)------------------------------
% 7.16/2.40 % (6175)------------------------------
% 7.16/2.41 % (6176)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/279Mi)
% 7.16/2.41 % Exception at run slice level
% 7.16/2.41 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
% 7.16/2.42 % (6177)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/258Mi)
% 7.16/2.43 % (6162)Instruction limit reached!
% 7.16/2.43 % (6162)------------------------------
% 7.16/2.43 % (6162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.43 % (6162)Termination reason: Unknown
% 7.16/2.43 % (6162)Termination phase: Saturation
% 7.16/2.43
% 7.16/2.43 % (6162)Memory used [KB]: 8315
% 7.16/2.43 % (6162)Time elapsed: 0.322 s
% 7.16/2.43 % (6162)Instructions burned: 1023 (million)
% 7.16/2.43 % (6162)------------------------------
% 7.16/2.43 % (6162)------------------------------
% 7.16/2.43 % (6174)Instruction limit reached!
% 7.16/2.43 % (6174)------------------------------
% 7.16/2.43 % (6174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.43 % (6174)Termination reason: Unknown
% 7.16/2.43 % (6174)Termination phase: Saturation
% 7.16/2.43
% 7.16/2.43 % (6174)Memory used [KB]: 6268
% 7.16/2.43 % (6174)Time elapsed: 0.110 s
% 7.16/2.43 % (6174)Instructions burned: 359 (million)
% 7.16/2.43 % (6174)------------------------------
% 7.16/2.43 % (6174)------------------------------
% 7.16/2.44 % (6178)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/26Mi)
% 7.16/2.44 % Exception at run slice level
% 7.16/2.44 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
% 7.16/2.44 % (6179)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/995Mi)
% 7.16/2.44 % Exception at run slice level
% 7.16/2.44 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
% 7.16/2.45 % (6180)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/373Mi)
% 7.16/2.45 % (6181)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/253Mi)
% 7.16/2.45 % Exception at run slice level
% 7.16/2.45 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
% 7.16/2.46 % (6182)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_5780 for (2990ds/832Mi)
% 7.68/2.50 % (6177)First to succeed.
% 7.68/2.51 % (6177)Refutation found. Thanks to Tanya!
% 7.68/2.51 % SZS status Theorem for DTF2THF_5780
% 7.68/2.51 % SZS output start Proof for DTF2THF_5780
% 7.68/2.51 thf(type_def_6, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 7.68/2.51 thf(type_def_7, type, sK4: $tType).
% 7.68/2.51 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 7.68/2.51 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 7.68/2.51 thf(func_def_2, type, tyop_2Eoption_2Eoption: ($tType) > $tType).
% 7.68/2.51 thf(func_def_3, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 7.68/2.51 thf(func_def_4, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 7.68/2.51 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 7.68/2.51 thf(func_def_6, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 7.68/2.51 thf(func_def_7, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 7.68/2.51 thf(func_def_9, type, c_2Eoption_2EIS__NONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > $o)).
% 7.68/2.51 thf(func_def_10, type, c_2Eoption_2EIS__SOME: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > $o)).
% 7.68/2.51 thf(func_def_11, type, c_2Eoption_2ENONE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0)).
% 7.68/2.51 thf(func_def_12, type, c_2Eoption_2EOPTION__JOIN: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X0)).
% 7.68/2.51 thf(func_def_13, type, c_2Eoption_2EOPTION__MAP: !>[X0: $tType, X1: $tType]:((X0 > X1) > tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X1)).
% 7.68/2.51 thf(func_def_14, type, c_2Eoption_2EOPTREL: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > tyop_2Eoption_2Eoption @ X0 > tyop_2Eoption_2Eoption @ X1 > $o)).
% 7.68/2.51 thf(func_def_15, type, c_2Eoption_2ESOME: !>[X0: $tType]:(X0 > tyop_2Eoption_2Eoption @ X0)).
% 7.68/2.51 thf(func_def_17, type, c_2Eoption_2ETHE: !>[X0: $tType]:(tyop_2Eoption_2Eoption @ X0 > X0)).
% 7.68/2.51 thf(func_def_18, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 7.68/2.51 thf(func_def_19, type, c_2Eoption_2Eoption__CASE: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X0 > X1 > (X0 > X1) > X1)).
% 7.68/2.51 thf(func_def_20, type, c_2Ebool_2E_7E: $o > $o).
% 7.68/2.51 thf(func_def_26, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 7.68/2.51 thf(func_def_27, type, sK1: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X0 > (X0 > X1 > $o) > X0)).
% 7.68/2.51 thf(func_def_28, type, sK2: !>[X0: $tType, X1: $tType]:(tyop_2Eoption_2Eoption @ X1 > tyop_2Eoption_2Eoption @ X0 > (X0 > X1 > $o) > X1)).
% 7.68/2.51 thf(func_def_29, type, sK3: !>[X0: $tType]:((X0 > $o) > X0)).
% 7.68/2.51 thf(func_def_30, type, sK5: sK4).
% 7.68/2.51 thf(func_def_31, type, sK6: sK4).
% 7.68/2.51 thf(func_def_32, type, sK7: sK4 > sK4 > $o).
% 7.68/2.51 thf(func_def_34, type, ph9: !>[X0: $tType]:(X0)).
% 7.68/2.51 thf(f1113,plain,(
% 7.68/2.51 $false),
% 7.68/2.51 inference(avatar_sat_refutation,[status(thm)],[f350,f361,f415,f801,f962,f974,f1085,f1107,f1111])).
% 7.68/2.51 thf(f1111,plain,(
% 7.68/2.51 ~spl8_6 | ~spl8_10),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f1110])).
% 7.68/2.51 thf(f1110,plain,(
% 7.68/2.51 $false | (~spl8_6 | ~spl8_10)),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1109])).
% 7.68/2.51 thf(f1109,plain,(
% 7.68/2.51 ($true = $false) | (~spl8_6 | ~spl8_10)),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f341,f360])).
% 7.68/2.51 thf(f360,plain,(
% 7.68/2.51 ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ~spl8_10),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f358])).
% 7.68/2.51 thf(f358,definition,(
% 7.68/2.51 spl8_10 <=> ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_10])],[avatar_definition])).
% 7.68/2.51 thf(f341,plain,(
% 7.68/2.51 ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ~spl8_6),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f339])).
% 7.68/2.51 thf(f339,definition,(
% 7.68/2.51 spl8_6 <=> ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_6])],[avatar_definition])).
% 7.68/2.51 thf(f1107,plain,(
% 7.68/2.51 ~spl8_5),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f1106])).
% 7.68/2.51 thf(f1106,plain,(
% 7.68/2.51 $false | ~spl8_5),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f1105,f256])).
% 7.68/2.51 thf(f256,plain,(
% 7.68/2.51 ( ! [X0 : $tType,X14 : X0] : (((c_2Eoption_2ESOME @ X0 @ X14) != c_2Eoption_2ENONE @ X0)) )),
% 7.68/2.51 inference(equality_proxy_clausification,[status(thm)],[f255])).
% 7.68/2.51 thf(f255,plain,(
% 7.68/2.51 ( ! [X0 : $tType,X14 : X0] : (((c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X14)) = $false)) )),
% 7.68/2.51 inference(not_proxy_clausification,[status(thm)],[f125])).
% 7.68/2.51 thf(f125,plain,(
% 7.68/2.51 ( ! [X0 : $tType,X14 : X0] : (($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X14))))) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f73])).
% 7.68/2.51 thf(f73,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X5 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X5))) & ! [X6 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X6 @ c_2Eoption_2ENONE @ X0)) & ! [X7 : X1,X8 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X7 @ X8) = X7) & ! [X9 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X9 @ X9 @ c_2Eoption_2ESOME @ X0) = X9) & ! [X10 : X0 > X1,X11 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X10 @ (c_2Eoption_2ESOME @ X0 @ X11)) = (c_2Eoption_2ESOME @ X1 @ (X10 @ X11))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X12 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ENONE @ X0 = X12) | ($true != (~ (c_2Eoption_2EIS__SOME @ X0 @ X12)))) & (($true = (~ (c_2Eoption_2EIS__SOME @ X0 @ X12))) | (c_2Eoption_2ENONE @ X0 != X12))) & ! [X13 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X13)) = X13) & ! [X14 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X14)))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X15 : tyop_2Eoption_2Eoption @ X0] : ((((c_2Eoption_2EIS__NONE @ X0 @ X15) = $true) | (c_2Eoption_2ENONE @ X0 != X15)) & ((c_2Eoption_2ENONE @ X0 = X15) | ((c_2Eoption_2EIS__NONE @ X0 @ X15) != $true))) & ! [X16 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X16)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X16 @ X4 @ X2) = X4)) & ! [X17 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X17)))) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X18)) = X18) & ! [X19 : tyop_2Eoption_2Eoption @ X0] : (((X2 @ (c_2Eoption_2ETHE @ X0 @ X19)) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X19 @ X4 @ X2)) | ((c_2Eoption_2EIS__SOME @ X0 @ X19) != $true)) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X20)) = X20) | ((c_2Eoption_2EIS__SOME @ X0 @ X20) != $true)) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X21 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X21) & ! [X22 : X0,X23 : X0] : ((((c_2Eoption_2ESOME @ X0 @ X23) = (c_2Eoption_2ESOME @ X0 @ X22)) | (X22 != X23)) & ((X22 = X23) | ((c_2Eoption_2ESOME @ X0 @ X23) != (c_2Eoption_2ESOME @ X0 @ X22)))) & ! [X24 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X24) != $true) | ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X24 @ X3 @ c_2Eoption_2ESOME @ X0) = X24)) & ! [X25 : X0,X26 : X1,X27 : X0 > X1] : ((X27 @ X25) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X25) @ X26 @ X27)))),
% 7.68/2.51 inference(rectify,[status(thm)],[f72])).
% 7.68/2.51 thf(f72,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X22 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X22))) & ! [X24 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X24 @ c_2Eoption_2ENONE @ X0)) & ! [X14 : X1,X15 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X14 @ X15) = X14) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X20 @ X20 @ c_2Eoption_2ESOME @ X0) = X20) & ! [X6 : X0 > X1,X7 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X6 @ (c_2Eoption_2ESOME @ X0 @ X7)) = (c_2Eoption_2ESOME @ X1 @ (X6 @ X7))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X9 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ENONE @ X0 = X9) | ((~ (c_2Eoption_2EIS__SOME @ X0 @ X9)) != $true)) & (((~ (c_2Eoption_2EIS__SOME @ X0 @ X9)) = $true) | (c_2Eoption_2ENONE @ X0 != X9))) & ! [X5 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X5)) = X5) & ! [X8 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X8)))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : ((((c_2Eoption_2EIS__NONE @ X0 @ X23) = $true) | (c_2Eoption_2ENONE @ X0 != X23)) & ((c_2Eoption_2ENONE @ X0 = X23) | ((c_2Eoption_2EIS__NONE @ X0 @ X23) != $true))) & ! [X16 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X16)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X16 @ X4 @ X2) = X4)) & ! [X26 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X26)))) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X10 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X10 @ X4 @ X2) = (X2 @ (c_2Eoption_2ETHE @ X0 @ X10))) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X10))) & ! [X11 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X11)) = X11) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X11))) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X27) & ! [X12 : X0,X13 : X0] : ((((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13)) | (X12 != X13)) & ((X12 = X13) | ((c_2Eoption_2ESOME @ X0 @ X12) != (c_2Eoption_2ESOME @ X0 @ X13)))) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X25) != $true) | ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X3 @ c_2Eoption_2ESOME @ X0) = X25)) & ! [X17 : X0,X18 : X1,X19 : X0 > X1] : ((X19 @ X17) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X17) @ X18 @ X19)))),
% 7.68/2.51 inference(nnf_transformation,[status(thm)],[f61])).
% 7.68/2.51 thf(f61,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X22 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X22))) & ! [X24 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X24 @ c_2Eoption_2ENONE @ X0)) & ! [X14 : X1,X15 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X14 @ X15) = X14) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X20 @ X20 @ c_2Eoption_2ESOME @ X0) = X20) & ! [X6 : X0 > X1,X7 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X6 @ (c_2Eoption_2ESOME @ X0 @ X7)) = (c_2Eoption_2ESOME @ X1 @ (X6 @ X7))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X9 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X9) <=> ((~ (c_2Eoption_2EIS__SOME @ X0 @ X9)) = $true)) & ! [X5 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X5)) = X5) & ! [X8 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X8)))) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__NONE @ X0 @ X23) = $true) <=> (c_2Eoption_2ENONE @ X0 = X23)) & ! [X16 : tyop_2Eoption_2Eoption @ X0] : (($true != (c_2Eoption_2EIS__NONE @ X0 @ X16)) | ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X16 @ X4 @ X2) = X4)) & ! [X26 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X26)))) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X10 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X10 @ X4 @ X2) = (X2 @ (c_2Eoption_2ETHE @ X0 @ X10))) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X10))) & ! [X11 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X11)) = X11) | ($true != (c_2Eoption_2EIS__SOME @ X0 @ X11))) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X27) & ! [X12 : X0,X13 : X0] : (((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13)) <=> (X12 = X13)) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X25) != $true) | ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X3 @ c_2Eoption_2ESOME @ X0) = X25)) & ! [X17 : X0,X18 : X1,X19 : X0 > X1] : ((X19 @ X17) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X17) @ X18 @ X19)))),
% 7.68/2.51 inference(ennf_transformation,[status(thm)],[f33])).
% 7.68/2.51 thf(f33,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X14 : X1,X15 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X14 @ X15) = X14) & ! [X16 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EIS__NONE @ X0 @ X16)) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X16 @ X4 @ X2) = X4)) & ! [X8 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X8)))) & ! [X22 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X22))) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__NONE @ X0 @ X23) = $true) <=> (c_2Eoption_2ENONE @ X0 = X23)) & ! [X17 : X0,X18 : X1,X19 : X0 > X1] : ((X19 @ X17) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X17) @ X18 @ X19)) & ! [X5 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X5)) = X5) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X20 @ X20 @ c_2Eoption_2ESOME @ X0) = X20) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X27) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : (((c_2Eoption_2EIS__SOME @ X0 @ X25) = $true) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X3 @ c_2Eoption_2ESOME @ X0) = X25)) & ! [X12 : X0,X13 : X0] : (((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13)) <=> (X12 = X13)) & ! [X6 : X0 > X1,X7 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X6 @ (c_2Eoption_2ESOME @ X0 @ X7)) = (c_2Eoption_2ESOME @ X1 @ (X6 @ X7))) & ! [X9 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X9) <=> ((~ (c_2Eoption_2EIS__SOME @ X0 @ X9)) = $true)) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X10 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EIS__SOME @ X0 @ X10)) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X10 @ X4 @ X2) = (X2 @ (c_2Eoption_2ETHE @ X0 @ X10)))) & ! [X26 : X0] : ($true = (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X26)))) & ! [X24 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X24 @ c_2Eoption_2ENONE @ X0)) & ! [X11 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EIS__SOME @ X0 @ X11)) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X11)) = X11)))),
% 7.68/2.51 inference(fool_elimination,[status(thm)],[f32])).
% 7.68/2.51 thf(f32,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : tyop_2Eoption_2Eoption @ X0,X4 : X1] : (! [X5 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X5)) = X5) & ! [X6 : X0 > X1,X7 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X6 @ (c_2Eoption_2ESOME @ X0 @ X7)) = (c_2Eoption_2ESOME @ X1 @ (X6 @ X7))) & ! [X8 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X8))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X9 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X9) <=> (~ (c_2Eoption_2EIS__SOME @ X0 @ X9))) & ! [X10 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X10) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X10 @ X4 @ X2) = (X2 @ (c_2Eoption_2ETHE @ X0 @ X10)))) & ! [X11 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X11) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X11)) = X11)) & ! [X12 : X0,X13 : X0] : ((X12 = X13) <=> ((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13))) & ! [X14 : X1,X15 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X14 @ X15) = X14) & ! [X16 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X16) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X16 @ X4 @ X2) = X4)) & ! [X17 : X0,X18 : X1,X19 : X0 > X1] : ((X19 @ X17) = (c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X17) @ X18 @ X19)) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X20 @ X20 @ c_2Eoption_2ESOME @ X0) = X20) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X21)) = X21) & ! [X22 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X22))) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X23) <=> (c_2Eoption_2ENONE @ X0 = X23)) & ! [X24 : X0 > X1] : (c_2Eoption_2ENONE @ X1 = (c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X24 @ c_2Eoption_2ENONE @ X0)) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X25) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X3 @ c_2Eoption_2ESOME @ X0) = X25)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X26 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X26))) & ! [X27 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X27 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X27))),
% 7.68/2.51 inference(rectify,[status(thm)],[f17])).
% 7.68/2.51 thf(f17,axiom,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X4 : X0 > X1,X10 : tyop_2Eoption_2Eoption @ X0,X11 : X1] : (! [X14 : X0] : ((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X14)) = X14) & ! [X31 : X0 > X1,X32 : X0] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X31 @ (c_2Eoption_2ESOME @ X0 @ X32)) = (c_2Eoption_2ESOME @ X1 @ (X31 @ X32))) & ! [X15 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X15))) & (c_2Ebool_2EF = (c_2Eoption_2EIS__SOME @ X0 @ c_2Eoption_2ENONE @ X0)) & ! [X19 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2ENONE @ X0 = X19) <=> (~ (c_2Eoption_2EIS__SOME @ X0 @ X19))) & ! [X24 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X24) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X24 @ X11 @ X4) = (X4 @ (c_2Eoption_2ETHE @ X0 @ X24)))) & ! [X20 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X20) => ((c_2Eoption_2ESOME @ X0 @ (c_2Eoption_2ETHE @ X0 @ X20)) = X20)) & ! [X12 : X0,X13 : X0] : ((X12 = X13) <=> ((c_2Eoption_2ESOME @ X0 @ X12) = (c_2Eoption_2ESOME @ X0 @ X13))) & ! [X26 : X1,X27 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ c_2Eoption_2ENONE @ X0 @ X26 @ X27) = X26) & ! [X23 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X23) => ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ X23 @ X11 @ X4) = X11)) & ! [X28 : X0,X29 : X1,X30 : X0 > X1] : ((c_2Eoption_2Eoption__CASE @ X0 @ X1 @ (c_2Eoption_2ESOME @ X0 @ X28) @ X29 @ X30) = (X30 @ X28)) & ! [X22 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X22 @ X22 @ c_2Eoption_2ESOME @ X0) = X22) & ! [X34 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EOPTION__JOIN @ X0 @ (c_2Eoption_2ESOME @ tyop_2Eoption_2Eoption @ X0 @ X34)) = X34) & ! [X17 : X0] : (c_2Ebool_2ET = (c_2Eoption_2EIS__SOME @ X0 @ (c_2Eoption_2ESOME @ X0 @ X17))) & ! [X18 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__NONE @ X0 @ X18) <=> (c_2Eoption_2ENONE @ X0 = X18)) & ! [X33 : X0 > X1] : ((c_2Eoption_2EOPTION__MAP @ X0 @ X1 @ X33 @ c_2Eoption_2ENONE @ X0) = c_2Eoption_2ENONE @ X1) & ! [X25 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2EIS__SOME @ X0 @ X25) => ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X25 @ X10 @ c_2Eoption_2ESOME @ X0) = X25)) & (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2EOPTION__JOIN @ X0 @ c_2Eoption_2ENONE @ tyop_2Eoption_2Eoption @ X0)) & ! [X16 : X0] : (~ (c_2Eoption_2ENONE @ X0 = (c_2Eoption_2ESOME @ X0 @ X16))) & ! [X21 : tyop_2Eoption_2Eoption @ X0] : ((c_2Eoption_2Eoption__CASE @ X0 @ tyop_2Eoption_2Eoption @ X0 @ X21 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ESOME @ X0) = X21))),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',thm_2Eoption_2Eoption__CLAUSES)).
% 7.68/2.51 thf(f1105,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK5) = c_2Eoption_2ENONE @ sK4) | ~spl8_5),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f1101,f256])).
% 7.68/2.51 thf(f1101,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ c_2Eoption_2ENONE @ sK4 @ sK7)) = c_2Eoption_2ENONE @ sK4) | ((c_2Eoption_2ESOME @ sK4 @ sK5) = c_2Eoption_2ENONE @ sK4) | ~spl8_5),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1093])).
% 7.68/2.51 thf(f1093,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ c_2Eoption_2ENONE @ sK4 @ sK7)) = c_2Eoption_2ENONE @ sK4) | ((c_2Eoption_2ESOME @ sK4 @ sK5) = c_2Eoption_2ENONE @ sK4) | ($true != $true) | ~spl8_5),
% 7.68/2.51 inference(superposition,[status(thm)],[f149,f337])).
% 7.68/2.51 thf(f337,plain,(
% 7.68/2.51 ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ~spl8_5),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f335])).
% 7.68/2.51 thf(f335,definition,(
% 7.68/2.51 spl8_5 <=> ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_5])],[avatar_definition])).
% 7.68/2.51 thf(f149,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (c_2Eoption_2ENONE @ X1 = X4) | ((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f80])).
% 7.68/2.51 thf(f80,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (((((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true) & ((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4)) | ((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (! [X7 : X0,X8 : X1] : (($true != (X2 @ X7 @ X8)) | ((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4)) & ((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)))))),
% 7.68/2.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f78,f79])).
% 7.68/2.51 thf(f79,plain,(
% 7.68/2.51 ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (? [X5 : X0,X6 : X1] : (($true = (X2 @ X5 @ X6)) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4)) => (((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true) & ((c_2Eoption_2ESOME @ X0 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2)) = X3) & ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4)))),
% 7.68/2.51 introduced(definition,[],[choice_axiom])).
% 7.68/2.51 thf(f78,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((? [X5 : X0,X6 : X1] : (($true = (X2 @ X5 @ X6)) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4)) | ((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (! [X7 : X0,X8 : X1] : (($true != (X2 @ X7 @ X8)) | ((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4)) & ((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)))))),
% 7.68/2.51 inference(rectify,[status(thm)],[f77])).
% 7.68/2.51 thf(f77,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((? [X5 : X0,X6 : X1] : (($true = (X2 @ X5 @ X6)) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4)) | ((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (! [X5 : X0,X6 : X1] : (($true != (X2 @ X5 @ X6)) | ((c_2Eoption_2ESOME @ X0 @ X5) != X3) | ((c_2Eoption_2ESOME @ X1 @ X6) != X4)) & ((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)))))),
% 7.68/2.51 inference(flattening,[status(thm)],[f76])).
% 7.68/2.51 thf(f76,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (((? [X5 : X0,X6 : X1] : (($true = (X2 @ X5 @ X6)) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4)) | ((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3))) | ($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4))) & (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (! [X5 : X0,X6 : X1] : (($true != (X2 @ X5 @ X6)) | ((c_2Eoption_2ESOME @ X0 @ X5) != X3) | ((c_2Eoption_2ESOME @ X1 @ X6) != X4)) & ((c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)))))),
% 7.68/2.51 inference(nnf_transformation,[status(thm)],[f29])).
% 7.68/2.51 thf(f29,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((? [X5 : X0,X6 : X1] : (($true = (X2 @ X5 @ X6)) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3) & ((c_2Eoption_2ESOME @ X1 @ X6) = X4)) | ((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3))) <=> ($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)))),
% 7.68/2.51 inference(fool_elimination,[status(thm)],[f28])).
% 7.68/2.51 thf(f28,plain,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : ((c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4) <=> (((c_2Eoption_2ENONE @ X1 = X4) & (c_2Eoption_2ENONE @ X0 = X3)) | ? [X5 : X0,X6 : X1] : (((c_2Eoption_2ESOME @ X1 @ X6) = X4) & (X2 @ X5 @ X6) & ((c_2Eoption_2ESOME @ X0 @ X5) = X3))))),
% 7.68/2.51 inference(rectify,[status(thm)],[f18])).
% 7.68/2.51 thf(f18,axiom,(
% 7.68/2.51 ! [X0 : $tType,X1 : $tType,X35 : X0 > X1 > $o,X5 : tyop_2Eoption_2Eoption @ X0,X36 : tyop_2Eoption_2Eoption @ X1] : ((c_2Eoption_2EOPTREL @ X0 @ X1 @ X35 @ X5 @ X36) <=> (((c_2Eoption_2ENONE @ X1 = X36) & (c_2Eoption_2ENONE @ X0 = X5)) | ? [X37 : X0,X38 : X1] : (((c_2Eoption_2ESOME @ X1 @ X38) = X36) & (X35 @ X37 @ X38) & ((c_2Eoption_2ESOME @ X0 @ X37) = X5))))),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',thm_2Eoption_2EOPTREL__def)).
% 7.68/2.51 thf(f1085,plain,(
% 7.68/2.51 ~spl8_6 | ~spl8_9),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f1084])).
% 7.68/2.51 thf(f1084,plain,(
% 7.68/2.51 $false | (~spl8_6 | ~spl8_9)),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1083])).
% 7.68/2.51 thf(f1083,plain,(
% 7.68/2.51 ($true = $false) | (~spl8_6 | ~spl8_9)),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f1082,f356])).
% 7.68/2.51 thf(f356,plain,(
% 7.68/2.51 ($false = (sK7 @ sK6 @ sK5)) | ~spl8_9),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f354])).
% 7.68/2.51 thf(f354,definition,(
% 7.68/2.51 spl8_9 <=> ($false = (sK7 @ sK6 @ sK5))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_9])],[avatar_definition])).
% 7.68/2.51 thf(f1082,plain,(
% 7.68/2.51 ($true = (sK7 @ sK6 @ sK5)) | ~spl8_6),
% 7.68/2.51 inference(backward_demodulation,[status(thm)],[f1058,f1081])).
% 7.68/2.51 thf(f1081,plain,(
% 7.68/2.51 (sK5 = (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) | ~spl8_6),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f1078,f126])).
% 7.68/2.51 thf(f126,plain,(
% 7.68/2.51 ( ! [X0 : $tType,X13 : X0] : (((c_2Eoption_2ETHE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X13)) = X13)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f73])).
% 7.68/2.51 thf(f1078,plain,(
% 7.68/2.51 ((sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) = (c_2Eoption_2ETHE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ~spl8_6),
% 7.68/2.51 inference(superposition,[status(thm)],[f126,f1034])).
% 7.68/2.51 thf(f1034,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK5)) | ~spl8_6),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f1029,f256])).
% 7.68/2.51 thf(f1029,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK5)) | ~spl8_6),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1022])).
% 7.68/2.51 thf(f1022,plain,(
% 7.68/2.51 ($true != $true) | ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK5)) | ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ~spl8_6),
% 7.68/2.51 inference(superposition,[status(thm)],[f146,f341])).
% 7.68/2.51 thf(f146,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((c_2Eoption_2ESOME @ X1 @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = X4) | (c_2Eoption_2ENONE @ X0 = X3)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f80])).
% 7.68/2.51 thf(f1058,plain,(
% 7.68/2.51 ((sK7 @ sK6 @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = $true) | ~spl8_6),
% 7.68/2.51 inference(backward_demodulation,[status(thm)],[f1033,f1057])).
% 7.68/2.51 thf(f1057,plain,(
% 7.68/2.51 ((sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) = sK6) | ~spl8_6),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f1054,f126])).
% 7.68/2.51 thf(f1054,plain,(
% 7.68/2.51 ((sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) = (c_2Eoption_2ETHE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK6))) | ~spl8_6),
% 7.68/2.51 inference(superposition,[status(thm)],[f126,f1032])).
% 7.68/2.51 thf(f1032,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK6)) | ~spl8_6),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f1031,f256])).
% 7.68/2.51 thf(f1031,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK5) = c_2Eoption_2ENONE @ sK4) | ((c_2Eoption_2ESOME @ sK4 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK6)) | ~spl8_6),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1019])).
% 7.68/2.51 thf(f1019,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK5) = c_2Eoption_2ENONE @ sK4) | ($true != $true) | ((c_2Eoption_2ESOME @ sK4 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = (c_2Eoption_2ESOME @ sK4 @ sK6)) | ~spl8_6),
% 7.68/2.51 inference(superposition,[status(thm)],[f149,f341])).
% 7.68/2.51 thf(f1033,plain,(
% 7.68/2.51 ($true = (sK7 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7))) | ~spl8_6),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f1030,f256])).
% 7.68/2.51 thf(f1030,plain,(
% 7.68/2.51 ($true = (sK7 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7))) | ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ~spl8_6),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f1018])).
% 7.68/2.51 thf(f1018,plain,(
% 7.68/2.51 ($true != $true) | ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ($true = (sK7 @ (sK1 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7) @ (sK2 @ sK4 @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5) @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7))) | ~spl8_6),
% 7.68/2.51 inference(superposition,[status(thm)],[f150,f341])).
% 7.68/2.51 thf(f150,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true != (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ((X2 @ (sK1 @ X0 @ X1 @ X4 @ X3 @ X2) @ (sK2 @ X0 @ X1 @ X4 @ X3 @ X2)) = $true) | (c_2Eoption_2ENONE @ X0 = X3)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f80])).
% 7.68/2.51 thf(f974,plain,(
% 7.68/2.51 ~spl8_8),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f973])).
% 7.68/2.51 thf(f973,plain,(
% 7.68/2.51 $false | ~spl8_8),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f964])).
% 7.68/2.51 thf(f964,plain,(
% 7.68/2.51 ($true = $false) | ~spl8_8),
% 7.68/2.51 inference(superposition,[status(thm)],[f349,f213])).
% 7.68/2.51 thf(f213,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X1))) )),
% 7.68/2.51 inference(equality_resolution,[status(thm)],[f212])).
% 7.68/2.51 thf(f212,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ c_2Eoption_2ENONE @ X1)) | (c_2Eoption_2ENONE @ X0 != X3)) )),
% 7.68/2.51 inference(equality_resolution,[status(thm)],[f144])).
% 7.68/2.51 thf(f144,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | (c_2Eoption_2ENONE @ X1 != X4) | (c_2Eoption_2ENONE @ X0 != X3)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f80])).
% 7.68/2.51 thf(f349,plain,(
% 7.68/2.51 ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ~spl8_8),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f347])).
% 7.68/2.51 thf(f347,definition,(
% 7.68/2.51 spl8_8 <=> ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_8])],[avatar_definition])).
% 7.68/2.51 thf(f962,plain,(
% 7.68/2.51 ~spl8_7),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f961])).
% 7.68/2.51 thf(f961,plain,(
% 7.68/2.51 $false | ~spl8_7),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f960,f256])).
% 7.68/2.51 thf(f960,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = c_2Eoption_2ENONE @ sK4) | ~spl8_7),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f957,f256])).
% 7.68/2.51 thf(f957,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = c_2Eoption_2ENONE @ sK4) | ~spl8_7),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f950])).
% 7.68/2.51 thf(f950,plain,(
% 7.68/2.51 ((c_2Eoption_2ESOME @ sK4 @ sK6) = c_2Eoption_2ENONE @ sK4) | ($true != $true) | ((c_2Eoption_2ESOME @ sK4 @ (sK2 @ sK4 @ sK4 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ sK7)) = c_2Eoption_2ENONE @ sK4) | ~spl8_7),
% 7.68/2.51 inference(superposition,[status(thm)],[f146,f345])).
% 7.68/2.51 thf(f345,plain,(
% 7.68/2.51 ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ~spl8_7),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f343])).
% 7.68/2.51 thf(f343,definition,(
% 7.68/2.51 spl8_7 <=> ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4))),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_7])],[avatar_definition])).
% 7.68/2.51 thf(f801,plain,(
% 7.68/2.51 ~spl8_3),
% 7.68/2.51 inference(avatar_contradiction_clause,[status(thm)],[f800])).
% 7.68/2.51 thf(f800,plain,(
% 7.68/2.51 $false | ~spl8_3),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f786,f737])).
% 7.68/2.51 thf(f737,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($false != X0)) ) | ~spl8_3),
% 7.68/2.51 inference(superposition,[status(thm)],[f21,f325])).
% 7.68/2.51 thf(f325,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($true = X0)) ) | ~spl8_3),
% 7.68/2.51 inference(avatar_component_clause,[status(thm)],[f324])).
% 7.68/2.51 thf(f324,definition,(
% 7.68/2.51 spl8_3 <=> ! [X0 : $o] : ($true = X0)),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_3])],[avatar_definition])).
% 7.68/2.51 thf(f21,plain,(
% 7.68/2.51 ($true != $false)),
% 7.68/2.51 introduced(definition,[],[fool_axiom])).
% 7.68/2.51 thf(f786,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($false = X0)) ) | ~spl8_3),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f759])).
% 7.68/2.51 thf(f759,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($true = $false) | ($false = X0)) ) | ~spl8_3),
% 7.68/2.51 inference(superposition,[status(thm)],[f263,f325])).
% 7.68/2.51 thf(f263,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($false = (c_2Ebool_2E_7E @ X0)) | ($false = X0)) )),
% 7.68/2.51 inference(not_proxy_clausification,[status(thm)],[f262])).
% 7.68/2.51 thf(f262,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (($false = (c_2Ebool_2E_7E @ X0)) | ($true = (~ X0))) )),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f97])).
% 7.68/2.51 thf(f97,plain,(
% 7.68/2.51 ( ! [X0 : $o] : (((c_2Ebool_2E_7E @ X0) = (~ X0))) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f31])).
% 7.68/2.51 thf(f31,plain,(
% 7.68/2.51 ! [X0 : $o] : ((c_2Ebool_2E_7E @ X0) = (~ X0))),
% 7.68/2.51 inference(fool_elimination,[status(thm)],[f30])).
% 7.68/2.51 thf(f30,plain,(
% 7.68/2.51 ! [X0 : $o] : ((c_2Ebool_2E_7E @ X0) <=> (~ X0))),
% 7.68/2.51 inference(rectify,[status(thm)],[f3])).
% 7.68/2.51 thf(f3,axiom,(
% 7.68/2.51 ! [X2 : $o] : ((c_2Ebool_2E_7E @ X2) <=> (~ X2))),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',logicdef_2E_7E)).
% 7.68/2.51 thf(f415,plain,(
% 7.68/2.51 spl8_3 | ~spl8_1),
% 7.68/2.51 inference(avatar_split_clause,[status(thm)],[f141,f316,f324])).
% 7.68/2.51 thf(f316,definition,(
% 7.68/2.51 spl8_1 <=> (c_2Ebool_2EF = $true)),
% 7.68/2.51 introduced(definition,[new_symbols(naming,[spl8_1])],[avatar_definition])).
% 7.68/2.51 thf(f141,plain,(
% 7.68/2.51 ( ! [X0 : $o] : ((c_2Ebool_2EF != $true) | ($true = X0)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f63])).
% 7.68/2.51 thf(f63,plain,(
% 7.68/2.51 ! [X0 : $o] : ((c_2Ebool_2EF != $true) | ($true = X0))),
% 7.68/2.51 inference(ennf_transformation,[status(thm)],[f49])).
% 7.68/2.51 thf(f49,plain,(
% 7.68/2.51 ! [X0 : $o] : ((c_2Ebool_2EF = $true) => ($true = X0))),
% 7.68/2.51 inference(fool_elimination,[status(thm)],[f48])).
% 7.68/2.51 thf(f48,plain,(
% 7.68/2.51 ! [X0 : $o] : (c_2Ebool_2EF => X0)),
% 7.68/2.51 inference(rectify,[status(thm)],[f10])).
% 7.68/2.51 thf(f10,axiom,(
% 7.68/2.51 ! [X8 : $o] : (c_2Ebool_2EF => X8)),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',thm_2Ebool_2EFALSITY)).
% 7.68/2.51 thf(f361,plain,(
% 7.68/2.51 spl8_1 | spl8_7 | spl8_9 | spl8_8 | spl8_5 | spl8_10),
% 7.68/2.51 inference(avatar_split_clause,[status(thm)],[f352,f358,f335,f347,f354,f343,f316])).
% 7.68/2.51 thf(f352,plain,(
% 7.68/2.51 ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ($false = (sK7 @ sK6 @ sK5)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF = $true) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f351])).
% 7.68/2.51 thf(f351,plain,(
% 7.68/2.51 ($false = (sK7 @ sK6 @ sK5)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = $false) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF = $true) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4))),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f293,f224])).
% 7.68/2.51 thf(f224,plain,(
% 7.68/2.51 (c_2Ebool_2ET = $true)),
% 7.68/2.51 inference(equality_resolution,[status(thm)],[f167])).
% 7.68/2.51 thf(f167,plain,(
% 7.68/2.51 ( ! [X0 : $o] : ((c_2Ebool_2ET = $true) | ($true != X0)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f88])).
% 7.68/2.51 thf(f88,plain,(
% 7.68/2.51 ! [X0 : $o] : (((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | ($true != X0) | (c_2Ebool_2EF != $true)) & ((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | ($true != X0) | (c_2Ebool_2EF != $true)) & ((($true = X0) & ($true = X0)) | ($true != X0)) & (($true = X0) | ($true != X0) | ($true != X0)) & (((c_2Ebool_2ET = $true) & ($true = X0)) | ($true != X0)) & (($true = X0) | (c_2Ebool_2ET != $true) | ($true != X0)) & ((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | ($true != X0) | (c_2Ebool_2ET != $true)))),
% 7.68/2.51 inference(flattening,[status(thm)],[f87])).
% 7.68/2.51 thf(f87,plain,(
% 7.68/2.51 ! [X0 : $o] : ((((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | (($true != X0) | (c_2Ebool_2EF != $true)))) & (((($true = X0) & (c_2Ebool_2EF = $true)) | (c_2Ebool_2EF != $true)) & ((c_2Ebool_2EF = $true) | (($true != X0) | (c_2Ebool_2EF != $true)))) & (((($true = X0) & ($true = X0)) | ($true != X0)) & (($true = X0) | (($true != X0) | ($true != X0)))) & ((((c_2Ebool_2ET = $true) & ($true = X0)) | ($true != X0)) & (($true = X0) | ((c_2Ebool_2ET != $true) | ($true != X0)))) & (((($true = X0) & (c_2Ebool_2ET = $true)) | ($true != X0)) & (($true = X0) | (($true != X0) | (c_2Ebool_2ET != $true)))))),
% 7.68/2.51 inference(nnf_transformation,[status(thm)],[f53])).
% 7.68/2.51 thf(f53,plain,(
% 7.68/2.51 ! [X0 : $o] : (((($true = X0) & (c_2Ebool_2EF = $true)) <=> (c_2Ebool_2EF = $true)) & ((($true = X0) & (c_2Ebool_2EF = $true)) <=> (c_2Ebool_2EF = $true)) & ((($true = X0) & ($true = X0)) <=> ($true = X0)) & (((c_2Ebool_2ET = $true) & ($true = X0)) <=> ($true = X0)) & ((($true = X0) & (c_2Ebool_2ET = $true)) <=> ($true = X0)))),
% 7.68/2.51 inference(fool_elimination,[status(thm)],[f52])).
% 7.68/2.51 thf(f52,plain,(
% 7.68/2.51 ! [X0 : $o] : (((c_2Ebool_2EF & X0) <=> c_2Ebool_2EF) & ((X0 & X0) <=> X0) & (c_2Ebool_2EF <=> (c_2Ebool_2EF & X0)) & ((X0 & c_2Ebool_2ET) <=> X0) & (X0 <=> (X0 & c_2Ebool_2ET)))),
% 7.68/2.51 inference(rectify,[status(thm)],[f12])).
% 7.68/2.51 thf(f12,axiom,(
% 7.68/2.51 ! [X8 : $o] : (((c_2Ebool_2EF & X8) <=> c_2Ebool_2EF) & ((X8 & X8) <=> X8) & (c_2Ebool_2EF <=> (c_2Ebool_2EF & X8)) & ((X8 & c_2Ebool_2ET) <=> X8) & (X8 <=> (X8 & c_2Ebool_2ET)))),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',thm_2Ebool_2EAND__CLAUSES)).
% 7.68/2.51 thf(f293,plain,(
% 7.68/2.51 ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2ET = $false) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (sK7 @ sK6 @ sK5)) | (c_2Ebool_2EF = $true)),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f291])).
% 7.68/2.51 thf(f291,plain,(
% 7.68/2.51 (c_2Ebool_2EF = $true) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2ET = $false)),
% 7.68/2.51 inference(duplicate_literal_removal,[status(thm)],[f287])).
% 7.68/2.51 thf(f287,plain,(
% 7.68/2.51 (c_2Ebool_2EF = $true) | (c_2Ebool_2EF = $true) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | (c_2Ebool_2ET = $false) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f277])).
% 7.68/2.51 thf(f277,plain,(
% 7.68/2.51 (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF = $true) | (c_2Ebool_2ET = $false) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4))),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f276])).
% 7.68/2.51 thf(f276,plain,(
% 7.68/2.51 ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | (c_2Ebool_2ET = $false) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f194])).
% 7.68/2.51 thf(f194,plain,(
% 7.68/2.51 (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5))),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f96])).
% 7.68/2.51 thf(f96,plain,(
% 7.68/2.51 (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f60,f95])).
% 7.68/2.51 thf(f95,plain,(
% 7.68/2.51 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)) | ((c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1)) != (X3 @ X2 @ X1)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1)))) => ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ((c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)) != (sK7 @ sK6 @ sK5)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))))),
% 7.68/2.51 introduced(definition,[],[choice_axiom])).
% 7.68/2.51 thf(f60,plain,(
% 7.68/2.51 ? [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) | (c_2Ebool_2ET != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)) | ((c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1)) != (X3 @ X2 @ X1)) | (c_2Ebool_2EF != (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))))),
% 7.68/2.51 inference(ennf_transformation,[status(thm)],[f58])).
% 7.68/2.51 thf(f58,plain,(
% 7.68/2.51 ~! [X0 : $tType,X1 : X0,X2 : X0,X3 : X0 > X0 > $o] : ((c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X1))) & ((c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ (c_2Eoption_2ESOME @ X0 @ X1)) = (X3 @ X2 @ X1)) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ (c_2Eoption_2ESOME @ X0 @ X2) @ c_2Eoption_2ENONE @ X0)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X3 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 7.68/2.51 inference(rectify,[status(thm)],[f20])).
% 7.68/2.51 thf(f20,negated_conjecture,(
% 7.68/2.51 ~! [X0 : $tType,X39 : X0,X5 : X0,X40 : X0 > X0 > $o] : (((c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X0 @ X39)) = (X40 @ X5 @ X39)) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X39))) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X0)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 7.68/2.51 inference(negated_conjecture,[status(cth)],[f19])).
% 7.68/2.51 thf(f19,conjecture,(
% 7.68/2.51 ! [X0 : $tType,X39 : X0,X5 : X0,X40 : X0 > X0 > $o] : (((c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ (c_2Eoption_2ESOME @ X0 @ X39)) = (X40 @ X5 @ X39)) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ (c_2Eoption_2ESOME @ X0 @ X39))) & (c_2Ebool_2EF = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ (c_2Eoption_2ESOME @ X0 @ X5) @ c_2Eoption_2ENONE @ X0)) & (c_2Ebool_2ET = (c_2Eoption_2EOPTREL @ X0 @ X0 @ X40 @ c_2Eoption_2ENONE @ X0 @ c_2Eoption_2ENONE @ X0)))),
% 7.68/2.51 file('/export/starexec/sandbox2/tmp/tmp.nTLIJkFcwY/DTF2THF_5780.p',thm_2Equotient__option_2EOPTION__REL__def)).
% 7.68/2.51 thf(f350,plain,(
% 7.68/2.51 spl8_5 | spl8_1 | spl8_6 | spl8_7 | spl8_8),
% 7.68/2.51 inference(avatar_split_clause,[status(thm)],[f333,f347,f343,f339,f316,f335])).
% 7.68/2.51 thf(f333,plain,(
% 7.68/2.51 ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF = $true)),
% 7.68/2.51 inference(trivial_inequality_removal,[status(thm)],[f332])).
% 7.68/2.51 thf(f332,plain,(
% 7.68/2.51 ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = $false) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | (c_2Ebool_2EF = $true)),
% 7.68/2.51 inference(forward_demodulation,[status(thm)],[f331,f224])).
% 7.68/2.51 thf(f331,plain,(
% 7.68/2.51 (c_2Ebool_2ET = $false) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2EF = $true) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5)))),
% 7.68/2.51 inference(subsumption_resolution,[status(thm)],[f292,f211])).
% 7.68/2.51 thf(f211,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X8 : X1,X7 : X0] : (($true != (X2 @ X7 @ X8)) | ($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ (c_2Eoption_2ESOME @ X0 @ X7) @ (c_2Eoption_2ESOME @ X1 @ X8)))) )),
% 7.68/2.51 inference(equality_resolution,[status(thm)],[f210])).
% 7.68/2.51 thf(f210,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X8 : X1,X7 : X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ (c_2Eoption_2ESOME @ X0 @ X7) @ X4)) | ($true != (X2 @ X7 @ X8)) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4)) )),
% 7.68/2.51 inference(equality_resolution,[status(thm)],[f145])).
% 7.68/2.51 thf(f145,plain,(
% 7.68/2.51 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1 > $o,X3 : tyop_2Eoption_2Eoption @ X0,X8 : X1,X7 : X0,X4 : tyop_2Eoption_2Eoption @ X1] : (($true = (c_2Eoption_2EOPTREL @ X0 @ X1 @ X2 @ X3 @ X4)) | ($true != (X2 @ X7 @ X8)) | ((c_2Eoption_2ESOME @ X0 @ X7) != X3) | ((c_2Eoption_2ESOME @ X1 @ X8) != X4)) )),
% 7.68/2.51 inference(cnf_transformation,[status(thm)],[f80])).
% 7.68/2.51 thf(f292,plain,(
% 7.68/2.51 (c_2Ebool_2ET = $false) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($true = (sK7 @ sK6 @ sK5)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ (c_2Eoption_2ESOME @ sK4 @ sK5))) | ($false = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ c_2Eoption_2ENONE @ sK4 @ c_2Eoption_2ENONE @ sK4)) | ($true = (c_2Eoption_2EOPTREL @ sK4 @ sK4 @ sK7 @ (c_2Eoption_2ESOME @ sK4 @ sK6) @ c_2Eoption_2ENONE @ sK4)) | (c_2Ebool_2EF = $true)),
% 7.68/2.51 inference(binary_proxy_clausification,[status(thm)],[f291])).
% 7.68/2.51 % SZS output end Proof for DTF2THF_5780
% 7.68/2.51 % (6177)------------------------------
% 7.68/2.51 % (6177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.68/2.51 % (6177)Termination reason: Refutation
% 7.68/2.51
% 7.68/2.51 % (6177)Memory used [KB]: 6780
% 7.68/2.51 % (6177)Time elapsed: 0.082 s
% 7.68/2.51 % (6177)Instructions burned: 230 (million)
% 7.68/2.51 % (6177)------------------------------
% 7.68/2.51 % (6177)------------------------------
% 7.68/2.51 % (6070)Success in time 1.045 s
%------------------------------------------------------------------------------