TSTP Solution File: COM126+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G86kMVEsSw true
% Computer : n028.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 Aug 30 18:49:24 EDT 2023
% Result : Theorem 0.58s 1.10s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 53
% Syntax : Number of formulae : 108 ( 21 unt; 29 typ; 0 def)
% Number of atoms : 182 ( 61 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1195 ( 45 ~; 68 |; 20 &;1047 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 77 ( 77 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 26 usr; 7 con; 0-7 aty)
% Number of variables : 198 ( 0 ^; 182 !; 16 ?; 198 :)
% Comments :
%------------------------------------------------------------------------------
thf(vabs_type,type,
vabs: $i > $i > $i > $i ).
thf(sk__67_type,type,
sk__67: $i > $i > $i > $i ).
thf(vsomeType_type,type,
vsomeType: $i > $i ).
thf(sk__71_type,type,
sk__71: $i > $i > $i > $i ).
thf(sk__73_type,type,
sk__73: $i > $i > $i > $i ).
thf(vbind_type,type,
vbind: $i > $i > $i > $i ).
thf(vvar_type,type,
vvar: $i > $i ).
thf(varrow_type,type,
varrow: $i > $i > $i ).
thf(sk__68_type,type,
sk__68: $i > $i > $i > $i ).
thf(vlookup_type,type,
vlookup: $i > $i > $i ).
thf(sk__72_type,type,
sk__72: $i > $i > $i > $i ).
thf(sk__75_type,type,
sk__75: $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
thf(vtcheck_type,type,
vtcheck: $i > $i > $i > $o ).
thf(ve2app_type,type,
ve2app: $i ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(visFreeVar_type,type,
visFreeVar: $i > $i > $o ).
thf(sk__77_type,type,
sk__77: $i ).
thf(sk__74_type,type,
sk__74: $i ).
thf(sk__70_type,type,
sk__70: $i > $i > $i > $i ).
thf(ve1app_type,type,
ve1app: $i ).
thf(sk__66_type,type,
sk__66: $i > $i > $i > $i ).
thf(sk__69_type,type,
sk__69: $i > $i > $i > $i ).
thf(vapp_type,type,
vapp: $i > $i > $i ).
thf(sk__76_type,type,
sk__76: $i ).
thf('T-Weak-FreeVar-app',conjecture,
! [Vx: $i,VS: $i,VC: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) )
& ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) )
=> ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Vx: $i,VS: $i,VC: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) )
& ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) )
=> ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ),
inference('cnf.neg',[status(esa)],[T-Weak-FreeVar-app]) ).
thf(zip_derived_cl157,plain,
~ ( visFreeVar @ sk__74 @ ( vapp @ ve1app @ ve2app ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
vtcheck @ sk__76 @ ( vapp @ ve1app @ ve2app ) @ sk__77,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('T-inv',axiom,
! [Ve: $i,VT: $i,VC: $i] :
( ( vtcheck @ VC @ Ve @ VT )
=> ( ? [Ve1: $i,Ve2: $i,VS: $i] :
( ( Ve
= ( vapp @ Ve1 @ Ve2 ) )
& ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) )
& ( vtcheck @ VC @ Ve2 @ VS ) )
| ? [Vx: $i,Ve2: $i,VT1: $i,VT2: $i] :
( ( Ve
= ( vabs @ Vx @ VT1 @ Ve2 ) )
& ( VT
= ( varrow @ VT1 @ VT2 ) )
& ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) )
| ? [Vx: $i] :
( ( Ve
= ( vvar @ Vx ) )
& ( ( vlookup @ Vx @ VC )
= ( vsomeType @ VT ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [Vx: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve )
=> ( ( ( vlookup @ Vx @ VC )
= ( vsomeType @ VT ) )
& ( Ve
= ( vvar @ Vx ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [VT2: $i,VT1: $i,Ve2: $i,Vx: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve )
=> ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 )
& ( VT
= ( varrow @ VT1 @ VT2 ) )
& ( Ve
= ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [VS: $i,Ve2: $i,Ve1: $i,VC: $i,VT: $i,Ve: $i] :
( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve )
=> ( ( vtcheck @ VC @ Ve2 @ VS )
& ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) )
& ( Ve
= ( vapp @ Ve1 @ Ve2 ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [Ve: $i,VT: $i,VC: $i] :
( ( vtcheck @ VC @ Ve @ VT )
=> ( ? [Vx: $i] : ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve )
| ? [Vx: $i,Ve2: $i,VT1: $i,VT2: $i] : ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve )
| ? [Ve1: $i,Ve2: $i,VS: $i] : ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_16 @ ( sk__68 @ X0 @ X1 @ X2 ) @ ( sk__67 @ X0 @ X1 @ X2 ) @ ( sk__66 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ( zip_tseitin_17 @ ( sk__72 @ X0 @ X1 @ X2 ) @ ( sk__71 @ X0 @ X1 @ X2 ) @ ( sk__70 @ X0 @ X1 @ X2 ) @ ( sk__69 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ( zip_tseitin_18 @ ( sk__73 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( vtcheck @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl436,plain,
( ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_17 @ ( sk__72 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__71 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__70 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__69 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl150]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3
= ( vabs @ X0 @ X1 @ X2 ) )
| ~ ( zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl439,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vabs @ ( sk__69 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__71 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__70 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl147]) ).
thf('DIFF-abs-app',axiom,
! [VVar0: $i,VTyp0: $i,VExp0: $i,VExp1: $i,VExp2: $i] :
( ( vabs @ VVar0 @ VTyp0 @ VExp0 )
!= ( vapp @ VExp1 @ VExp2 ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( vabs @ X2 @ X3 @ X4 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-abs-app]) ).
thf(zip_derived_cl440,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl439,zip_derived_cl11]) ).
thf(zip_derived_cl440_001,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl439,zip_derived_cl11]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2
= ( vapp @ X0 @ X1 ) )
| ~ ( zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl443,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vapp @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl144]) ).
thf('EQ-app',axiom,
! [VExp0: $i,VExp1: $i,VExp2: $i,VExp3: $i] :
( ( ( ( VExp0 = VExp2 )
& ( VExp1 = VExp3 ) )
=> ( ( vapp @ VExp0 @ VExp1 )
= ( vapp @ VExp2 @ VExp3 ) ) )
& ( ( ( vapp @ VExp0 @ VExp1 )
= ( vapp @ VExp2 @ VExp3 ) )
=> ( ( VExp0 = VExp2 )
& ( VExp1 = VExp3 ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( vapp @ X1 @ X3 )
!= ( vapp @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[EQ-app]) ).
thf(zip_derived_cl445,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( X1
= ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( ( vapp @ X1 @ X0 )
!= ( vapp @ ve1app @ ve2app ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl6]) ).
thf(zip_derived_cl472,plain,
( ( ve1app
= ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl445]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( vvar @ X0 ) )
| ~ ( zip_tseitin_18 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl482,plain,
( ( ve1app
= ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vvar @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl149]) ).
thf('DIFF-var-app',axiom,
! [VVar0: $i,VExp0: $i,VExp1: $i] :
( ( vvar @ VVar0 )
!= ( vapp @ VExp0 @ VExp1 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl483,plain,
( ve1app
= ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl482,zip_derived_cl10]) ).
thf(zip_derived_cl484,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ve1app @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl483]) ).
thf(zip_derived_cl443_002,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vapp @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl144]) ).
thf(zip_derived_cl483_003,plain,
( ve1app
= ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl482,zip_derived_cl10]) ).
thf(zip_derived_cl485,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vapp @ ve1app @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl483]) ).
thf(zip_derived_cl149_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( vvar @ X0 ) )
| ~ ( zip_tseitin_18 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl490,plain,
( ( ( vapp @ ve1app @ ve2app )
= ( vapp @ ve1app @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vvar @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl149]) ).
thf(zip_derived_cl10_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl491,plain,
( ( vapp @ ve1app @ ve2app )
= ( vapp @ ve1app @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl490,zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( vapp @ X3 @ X1 )
!= ( vapp @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[EQ-app]) ).
thf(zip_derived_cl494,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( ( vapp @ X1 @ X0 )
!= ( vapp @ ve1app @ ve2app ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl7]) ).
thf(zip_derived_cl528,plain,
( ve2app
= ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl494]) ).
thf(zip_derived_cl639,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ve2app @ ve1app @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference(demod,[status(thm)],[zip_derived_cl484,zip_derived_cl528]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( vtcheck @ X0 @ X1 @ ( varrow @ X2 @ X3 ) )
| ~ ( zip_tseitin_16 @ X2 @ X4 @ X1 @ X0 @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl641,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( vtcheck @ sk__76 @ ve1app @ ( varrow @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__77 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl143]) ).
thf(zip_derived_cl149_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( vvar @ X0 ) )
| ~ ( zip_tseitin_18 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl680,plain,
( ( vtcheck @ sk__76 @ ve1app @ ( varrow @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__77 ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vvar @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl149]) ).
thf(zip_derived_cl10_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl681,plain,
vtcheck @ sk__76 @ ve1app @ ( varrow @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__77 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl680,zip_derived_cl10]) ).
thf('T-Weak-FreeVar-app-IH1',axiom,
! [Vx: $i,VS: $i,VC: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ve1app )
& ( vtcheck @ VC @ ve1app @ VT ) )
=> ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve1app @ VT ) ) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( visFreeVar @ X0 @ ve1app )
| ~ ( vtcheck @ X1 @ ve1app @ X2 )
| ( vtcheck @ ( vbind @ X0 @ X3 @ X1 ) @ ve1app @ X2 ) ),
inference(cnf,[status(esa)],[T-Weak-FreeVar-app-IH1]) ).
thf(zip_derived_cl684,plain,
! [X0: $i,X1: $i] :
( ( visFreeVar @ X0 @ ve1app )
| ( vtcheck @ ( vbind @ X0 @ X1 @ sk__76 ) @ ve1app @ ( varrow @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__77 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl153]) ).
thf('T-app',axiom,
! [VS: $i,VC: $i,Ve1: $i,Ve2: $i,VT: $i] :
( ( ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) )
& ( vtcheck @ VC @ Ve2 @ VS ) )
=> ( vtcheck @ VC @ ( vapp @ Ve1 @ Ve2 ) @ VT ) ) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( vtcheck @ X0 @ X1 @ X2 )
| ~ ( vtcheck @ X0 @ X3 @ ( varrow @ X2 @ X4 ) )
| ( vtcheck @ X0 @ ( vapp @ X3 @ X1 ) @ X4 ) ),
inference(cnf,[status(esa)],[T-app]) ).
thf(zip_derived_cl752,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( visFreeVar @ X1 @ ve1app )
| ~ ( vtcheck @ ( vbind @ X1 @ X0 @ sk__76 ) @ X2 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( vtcheck @ ( vbind @ X1 @ X0 @ sk__76 ) @ ( vapp @ ve1app @ X2 ) @ sk__77 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl141]) ).
thf(zip_derived_cl440_008,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( zip_tseitin_16 @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__66 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl439,zip_derived_cl11]) ).
thf(zip_derived_cl142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( vtcheck @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_16 @ X2 @ X1 @ X3 @ X0 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl441,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( vtcheck @ sk__76 @ ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl142]) ).
thf(zip_derived_cl528_009,plain,
( ve2app
= ( sk__67 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl494]) ).
thf(zip_derived_cl530,plain,
( ( zip_tseitin_18 @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) )
| ( vtcheck @ sk__76 @ ve2app @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl528]) ).
thf(zip_derived_cl149_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
= ( vvar @ X0 ) )
| ~ ( zip_tseitin_18 @ X0 @ X2 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl541,plain,
( ( vtcheck @ sk__76 @ ve2app @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) )
| ( ( vapp @ ve1app @ ve2app )
= ( vvar @ ( sk__73 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl149]) ).
thf(zip_derived_cl10_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl542,plain,
vtcheck @ sk__76 @ ve2app @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl541,zip_derived_cl10]) ).
thf('T-Weak-FreeVar-app-IH2',axiom,
! [Vx: $i,VS: $i,VC: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ve2app )
& ( vtcheck @ VC @ ve2app @ VT ) )
=> ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve2app @ VT ) ) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( visFreeVar @ X0 @ ve2app )
| ~ ( vtcheck @ X1 @ ve2app @ X2 )
| ( vtcheck @ ( vbind @ X0 @ X3 @ X1 ) @ ve2app @ X2 ) ),
inference(cnf,[status(esa)],[T-Weak-FreeVar-app-IH2]) ).
thf(zip_derived_cl544,plain,
! [X0: $i,X1: $i] :
( ( visFreeVar @ X0 @ ve2app )
| ( vtcheck @ ( vbind @ X0 @ X1 @ sk__76 ) @ ve2app @ ( sk__68 @ sk__76 @ sk__77 @ ( vapp @ ve1app @ ve2app ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl154]) ).
thf(zip_derived_cl802,plain,
! [X0: $i,X1: $i] :
( ( vtcheck @ ( vbind @ X1 @ X0 @ sk__76 ) @ ( vapp @ ve1app @ ve2app ) @ sk__77 )
| ( visFreeVar @ X1 @ ve1app )
| ( visFreeVar @ X1 @ ve2app ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl752,zip_derived_cl544]) ).
thf(zip_derived_cl155,plain,
~ ( vtcheck @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ ( vapp @ ve1app @ ve2app ) @ sk__77 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl810,plain,
( ( visFreeVar @ sk__74 @ ve2app )
| ( visFreeVar @ sk__74 @ ve1app ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl802,zip_derived_cl155]) ).
thf(isFreeVar2,axiom,
! [VVar0: $i,VExp0: $i,Ve1: $i,Vv: $i,Ve2: $i] :
( ( ( VVar0 = Vv )
& ( VExp0
= ( vapp @ Ve1 @ Ve2 ) ) )
=> ( ( ( ( visFreeVar @ Vv @ Ve1 )
| ( visFreeVar @ Vv @ Ve2 ) )
=> ( visFreeVar @ VVar0 @ VExp0 ) )
& ( ( visFreeVar @ VVar0 @ VExp0 )
=> ( ( visFreeVar @ Vv @ Ve1 )
| ( visFreeVar @ Vv @ Ve2 ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 != X0 )
| ( X4
!= ( vapp @ X2 @ X3 ) )
| ( visFreeVar @ X1 @ X4 )
| ~ ( visFreeVar @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[isFreeVar2]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( visFreeVar @ X1 @ X0 )
| ( visFreeVar @ X1 @ X2 )
| ( X2
!= ( vapp @ X3 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( visFreeVar @ X2 @ ( vapp @ X1 @ X0 ) )
| ~ ( visFreeVar @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl812,plain,
! [X0: $i] :
( ( visFreeVar @ sk__74 @ ve1app )
| ( visFreeVar @ sk__74 @ ( vapp @ X0 @ ve2app ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl810,zip_derived_cl238]) ).
thf(zip_derived_cl157_012,plain,
~ ( visFreeVar @ sk__74 @ ( vapp @ ve1app @ ve2app ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl817,plain,
visFreeVar @ sk__74 @ ve1app,
inference('s_sup-',[status(thm)],[zip_derived_cl812,zip_derived_cl157]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 != X0 )
| ( X4
!= ( vapp @ X2 @ X3 ) )
| ( visFreeVar @ X1 @ X4 )
| ~ ( visFreeVar @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[isFreeVar2]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( visFreeVar @ X1 @ X0 )
| ( visFreeVar @ X1 @ X2 )
| ( X2
!= ( vapp @ X0 @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( visFreeVar @ X2 @ ( vapp @ X1 @ X0 ) )
| ~ ( visFreeVar @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl818,plain,
! [X0: $i] : ( visFreeVar @ sk__74 @ ( vapp @ ve1app @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl817,zip_derived_cl237]) ).
thf(zip_derived_cl820,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G86kMVEsSw true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 13:10:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.10 % Solved by fo/fo13.sh.
% 0.58/1.10 % done 376 iterations in 0.329s
% 0.58/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/1.10 % SZS output start Refutation
% See solution above
% 0.58/1.10
% 0.58/1.10
% 0.58/1.10 % Terminating...
% 0.88/1.15 % Runner terminated.
% 0.88/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------