TSTP Solution File: COM138+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM138+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.I4bzYonm88 true
% Computer : n023.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 18:49:27 EDT 2023
% Result : Theorem 0.54s 1.02s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 45
% Syntax : Number of formulae : 77 ( 16 unt; 28 typ; 0 def)
% Number of atoms : 121 ( 68 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 711 ( 31 ~; 40 |; 16 &; 608 @)
% ( 0 <=>; 16 =>; 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 : 27 ( 25 usr; 6 con; 0-7 aty)
% Number of variables : 142 ( 0 ^; 126 !; 16 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(vabs_type,type,
vabs: $i > $i > $i > $i ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__78_type,type,
sk__78: $i ).
thf(sk__74_type,type,
sk__74: $i ).
thf(sk__77_type,type,
sk__77: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
thf(sk__76_type,type,
sk__76: $i ).
thf(vsomeType_type,type,
vsomeType: $i > $i ).
thf(sk__70_type,type,
sk__70: $i > $i > $i > $i ).
thf(sk__67_type,type,
sk__67: $i > $i > $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__66_type,type,
sk__66: $i > $i > $i > $i ).
thf(vlookup_type,type,
vlookup: $i > $i > $i ).
thf(sk__69_type,type,
sk__69: $i > $i > $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(vtcheck_type,type,
vtcheck: $i > $i > $i > $o ).
thf(sk__75_type,type,
sk__75: $i ).
thf(visFreeVar_type,type,
visFreeVar: $i > $i > $o ).
thf(sk__68_type,type,
sk__68: $i > $i > $i > $i ).
thf(sk__72_type,type,
sk__72: $i > $i > $i > $i ).
thf(vapp_type,type,
vapp: $i > $i > $i ).
thf('T-Strong-var',conjecture,
! [Vx: $i,VS: $i,VC: $i,Vy: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ( vvar @ Vy ) )
& ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) )
=> ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Vx: $i,VS: $i,VC: $i,Vy: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ ( vvar @ Vy ) )
& ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) )
=> ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ),
inference('cnf.neg',[status(esa)],[T-Strong-var]) ).
thf(zip_derived_cl154,plain,
~ ( visFreeVar @ sk__74 @ ( vvar @ sk__77 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
vtcheck @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ ( vvar @ sk__77 ) @ sk__78,
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_cl398,plain,
( ( zip_tseitin_16 @ ( sk__68 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__67 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__66 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( zip_tseitin_17 @ ( sk__72 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__71 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__70 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__69 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,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_cl402,plain,
( ( zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( zip_tseitin_16 @ ( sk__68 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__67 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__66 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( ( vvar @ sk__77 )
= ( vabs @ ( sk__69 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__71 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__70 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl147]) ).
thf('DIFF-var-abs',axiom,
! [VVar0: $i,VVar1: $i,VTyp0: $i,VExp0: $i] :
( ( vvar @ VVar0 )
!= ( vabs @ VVar1 @ VTyp0 @ VExp0 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( vvar @ X3 )
!= ( vabs @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[DIFF-var-abs]) ).
thf(zip_derived_cl403,plain,
( ( zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( zip_tseitin_16 @ ( sk__68 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__67 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__66 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl402,zip_derived_cl9]) ).
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_cl431,plain,
( ( zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) )
| ( ( vvar @ sk__77 )
= ( vapp @ ( sk__66 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( sk__67 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl144]) ).
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_cl432,plain,
zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl431,zip_derived_cl10]) ).
thf(zip_derived_cl432_001,plain,
zip_tseitin_18 @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl431,zip_derived_cl10]) ).
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_cl434,plain,
( ( vvar @ sk__77 )
= ( vvar @ ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl149]) ).
thf('EQ-var',axiom,
! [VVar0: $i,VVar1: $i] :
( ( ( VVar0 = VVar1 )
=> ( ( vvar @ VVar0 )
= ( vvar @ VVar1 ) ) )
& ( ( ( vvar @ VVar0 )
= ( vvar @ VVar1 ) )
=> ( VVar0 = VVar1 ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( ( vvar @ X1 )
!= ( vvar @ X0 ) ) ),
inference(cnf,[status(esa)],[EQ-var]) ).
thf(zip_derived_cl435,plain,
! [X0: $i] :
( ( X0
= ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) )
| ( ( vvar @ X0 )
!= ( vvar @ sk__77 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl0]) ).
thf(zip_derived_cl482,plain,
( sk__77
= ( sk__73 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl435]) ).
thf(zip_derived_cl1183,plain,
zip_tseitin_18 @ sk__77 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) @ sk__78 @ ( vvar @ sk__77 ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl482]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( vlookup @ X1 @ X2 )
= ( vsomeType @ X0 ) )
| ~ ( zip_tseitin_18 @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1194,plain,
( ( vlookup @ sk__77 @ ( vbind @ sk__74 @ sk__75 @ sk__76 ) )
= ( vsomeType @ sk__78 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl148]) ).
thf(lookup2,axiom,
! [VTy: $i,Vy: $i,VVar0: $i,VCtx0: $i,RESULT: $i,Vx: $i,VC: $i] :
( ( ( VVar0 = Vx )
& ( VCtx0
= ( vbind @ Vy @ VTy @ VC ) ) )
=> ( ( Vx != Vy )
=> ( ( RESULT
= ( vlookup @ VVar0 @ VCtx0 ) )
=> ( RESULT
= ( vlookup @ Vx @ VC ) ) ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 = X0 )
| ( X4
!= ( vlookup @ X2 @ X3 ) )
| ( X2 != X1 )
| ( X3
!= ( vbind @ X0 @ X5 @ X6 ) )
| ( X4
= ( vlookup @ X1 @ X6 ) ) ),
inference(cnf,[status(esa)],[lookup2]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0
= ( vlookup @ X2 @ X1 ) )
| ( X3
!= ( vbind @ X5 @ X4 @ X1 ) )
| ( X0
!= ( vlookup @ X2 @ X3 ) )
| ( X2 = X5 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( X2
!= ( vbind @ X1 @ X4 @ X3 ) )
| ( ( vlookup @ X0 @ X2 )
= ( vlookup @ X0 @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( vlookup @ X3 @ ( vbind @ X2 @ X1 @ X0 ) )
= ( vlookup @ X3 @ X0 ) )
| ( X3 = X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl331]) ).
thf(zip_derived_cl1211,plain,
( ( ( vsomeType @ sk__78 )
= ( vlookup @ sk__77 @ sk__76 ) )
| ( sk__77 = sk__74 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1194,zip_derived_cl335]) ).
thf('T-var',axiom,
! [VC: $i,Vx: $i,VT: $i] :
( ( ( vlookup @ Vx @ VC )
= ( vsomeType @ VT ) )
=> ( vtcheck @ VC @ ( vvar @ Vx ) @ VT ) ) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vtcheck @ X0 @ ( vvar @ X1 ) @ X2 )
| ( ( vlookup @ X1 @ X0 )
!= ( vsomeType @ X2 ) ) ),
inference(cnf,[status(esa)],[T-var]) ).
thf(zip_derived_cl1220,plain,
! [X0: $i] :
( ( sk__77 = sk__74 )
| ( vtcheck @ sk__76 @ ( vvar @ sk__77 ) @ X0 )
| ( ( vsomeType @ sk__78 )
!= ( vsomeType @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl139]) ).
thf(zip_derived_cl1245,plain,
( ( vtcheck @ sk__76 @ ( vvar @ sk__77 ) @ sk__78 )
| ( sk__77 = sk__74 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1220]) ).
thf(zip_derived_cl152,plain,
~ ( vtcheck @ sk__76 @ ( vvar @ sk__77 ) @ sk__78 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1246,plain,
sk__77 = sk__74,
inference(clc,[status(thm)],[zip_derived_cl1245,zip_derived_cl152]) ).
thf(isFreeVar0,axiom,
! [VVar0: $i,VExp0: $i,Vx: $i,Vv: $i] :
( ( ( VVar0 = Vv )
& ( VExp0
= ( vvar @ Vx ) ) )
=> ( ( ( Vx = Vv )
=> ( visFreeVar @ VVar0 @ VExp0 ) )
& ( ( visFreeVar @ VVar0 @ VExp0 )
=> ( Vx = Vv ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( vvar @ X0 ) )
| ( X3 != X2 )
| ( visFreeVar @ X3 @ X1 )
| ( X0 != X2 ) ),
inference(cnf,[status(esa)],[isFreeVar0]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != X1 )
| ( visFreeVar @ X1 @ X2 )
| ( X2
!= ( vvar @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( vvar @ X1 ) )
| ( visFreeVar @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl208,plain,
! [X0: $i] : ( visFreeVar @ X0 @ ( vvar @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl1249,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl1246,zip_derived_cl208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I4bzYonm88 true
% 0.13/0.34 % Computer : n023.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 13:43:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.02 % Solved by fo/fo13.sh.
% 0.54/1.02 % done 308 iterations in 0.293s
% 0.54/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.02 % SZS output start Refutation
% See solution above
% 0.54/1.02
% 0.54/1.02
% 0.54/1.02 % Terminating...
% 0.55/1.05 % Runner terminated.
% 1.50/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------