TSTP Solution File: COM135+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM135+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.TGv7uaFXA1 true
% Computer : n003.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 18:49:26 EDT 2023
% Result : Theorem 34.06s 5.43s
% Output : Refutation 34.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 53
% Syntax : Number of formulae : 115 ( 23 unt; 31 typ; 0 def)
% Number of atoms : 238 ( 161 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1095 ( 85 ~; 109 |; 21 &; 856 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 81 ( 81 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 7 con; 0-7 aty)
% Number of variables : 281 ( 0 ^; 265 !; 16 ?; 281 :)
% Comments :
%------------------------------------------------------------------------------
thf(vabs_type,type,
vabs: $i > $i > $i > $i ).
thf(sk__75_type,type,
sk__75: $i ).
thf(sk__67_type,type,
sk__67: $i > $i > $i > $i ).
thf(sk__73_type,type,
sk__73: $i > $i > $i > $i ).
thf(vsubst_type,type,
vsubst: $i > $i > $i > $i ).
thf(vsomeType_type,type,
vsomeType: $i > $i ).
thf(sk__74_type,type,
sk__74: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o ).
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(vlookup_type,type,
vlookup: $i > $i > $i ).
thf(sk__70_type,type,
sk__70: $i > $i > $i > $i ).
thf(sk__66_type,type,
sk__66: $i > $i > $i > $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $i > $i > $o ).
thf(sk__69_type,type,
sk__69: $i > $i > $i > $i ).
thf(vtcheck_type,type,
vtcheck: $i > $i > $i > $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__77_type,type,
sk__77: $i ).
thf(visFreeVar_type,type,
visFreeVar: $i > $i > $o ).
thf(vgetSomeType_type,type,
vgetSomeType: $i > $i ).
thf(sk__76_type,type,
sk__76: $i ).
thf(sk__79_type,type,
sk__79: $i ).
thf(sk__71_type,type,
sk__71: $i > $i > $i > $i ).
thf(sk__68_type,type,
sk__68: $i > $i > $i > $i ).
thf(sk__78_type,type,
sk__78: $i ).
thf(sk__72_type,type,
sk__72: $i > $i > $i > $i ).
thf(vapp_type,type,
vapp: $i > $i > $i ).
thf(subst0,axiom,
! [Vx: $i,Vy: $i,VVar0: $i,VExp0: $i,VExp1: $i,RESULT: $i,Ve: $i] :
( ( ( VVar0 = Vx )
& ( VExp0 = Ve )
& ( VExp1
= ( vvar @ Vy ) ) )
=> ( ( Vx = Vy )
=> ( ( RESULT
= ( vsubst @ VVar0 @ VExp0 @ VExp1 ) )
=> ( RESULT = Ve ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 != X0 )
| ( X5
!= ( vsubst @ X2 @ X3 @ X4 ) )
| ( X4
!= ( vvar @ X0 ) )
| ( X2 != X1 )
| ( X3 != X6 )
| ( X5 = X6 ) ),
inference(cnf,[status(esa)],[subst0]) ).
thf(zip_derived_cl1546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( X2 != X1 )
| ( X3 != X4 )
| ( X5
!= ( vvar @ X4 ) )
| ( X0
!= ( vsubst @ X3 @ X2 @ X5 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl1547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0
!= ( vsubst @ X3 @ X2 @ X1 ) )
| ( X1
!= ( vvar @ X4 ) )
| ( X3 != X4 )
| ( X0 = X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1546]) ).
thf(zip_derived_cl1548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( X2
!= ( vvar @ X3 ) )
| ( X0
!= ( vsubst @ X3 @ X1 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1547]) ).
thf(zip_derived_cl1550,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( vvar @ X1 ) )
| ( ( vsubst @ X1 @ X2 @ X0 )
= X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1548]) ).
thf('T-subst-var',conjecture,
! [VT: $i,VC: $i,Vx: $i,Ve: $i,Vy: $i,VT2: $i] :
( ( ( vtcheck @ VC @ Ve @ VT )
& ( vtcheck @ ( vbind @ Vx @ VT @ VC ) @ ( vvar @ Vy ) @ VT2 ) )
=> ( vtcheck @ VC @ ( vsubst @ Vx @ Ve @ ( vvar @ Vy ) ) @ VT2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [VT: $i,VC: $i,Vx: $i,Ve: $i,Vy: $i,VT2: $i] :
( ( ( vtcheck @ VC @ Ve @ VT )
& ( vtcheck @ ( vbind @ Vx @ VT @ VC ) @ ( vvar @ Vy ) @ VT2 ) )
=> ( vtcheck @ VC @ ( vsubst @ Vx @ Ve @ ( vvar @ Vy ) ) @ VT2 ) ),
inference('cnf.neg',[status(esa)],[T-subst-var]) ).
thf(zip_derived_cl154,plain,
~ ( vtcheck @ sk__75 @ ( vsubst @ sk__76 @ sk__77 @ ( vvar @ sk__78 ) ) @ sk__79 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1552,plain,
( ~ ( vtcheck @ sk__75 @ sk__77 @ sk__79 )
| ( ( vvar @ sk__78 )
!= ( vvar @ sk__76 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl154]) ).
thf('T-Strong',axiom,
! [Vx: $i,VS: $i,VC: $i,Ve: $i,VT: $i] :
( ( ~ ( visFreeVar @ Vx @ Ve )
& ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ Ve @ VT ) )
=> ( vtcheck @ VC @ Ve @ VT ) ) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( visFreeVar @ X0 @ X1 )
| ~ ( vtcheck @ ( vbind @ X0 @ X2 @ X3 ) @ X1 @ X4 )
| ( vtcheck @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[T-Strong]) ).
thf(zip_derived_cl155,plain,
vtcheck @ ( vbind @ sk__76 @ sk__74 @ sk__75 ) @ ( vvar @ sk__78 ) @ sk__79,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1588,plain,
( ( vtcheck @ sk__75 @ ( vvar @ sk__78 ) @ sk__79 )
| ( visFreeVar @ sk__76 @ ( vvar @ sk__78 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl155]) ).
thf(subst1,axiom,
! [Ve: $i,Vx: $i,VVar0: $i,VExp0: $i,VExp1: $i,RESULT: $i,Vy: $i] :
( ( ( VVar0 = Vx )
& ( VExp0 = Ve )
& ( VExp1
= ( vvar @ Vy ) ) )
=> ( ( Vx != Vy )
=> ( ( RESULT
= ( vsubst @ VVar0 @ VExp0 @ VExp1 ) )
=> ( RESULT
= ( vvar @ Vy ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3
!= ( vsubst @ X0 @ X1 @ X2 ) )
| ( X1 != X4 )
| ( X0 != X5 )
| ( X2
!= ( vvar @ X6 ) )
| ( X3
= ( vvar @ X6 ) )
| ( X5 = X6 ) ),
inference(cnf,[status(esa)],[subst1]) ).
thf(zip_derived_cl1559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( X2
= ( vvar @ X1 ) )
| ( X3
!= ( vvar @ X1 ) )
| ( X4 != X0 )
| ( X2
!= ( vsubst @ X4 @ X5 @ X3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl1561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0
!= ( vsubst @ X3 @ X2 @ X1 ) )
| ( X1
!= ( vvar @ X4 ) )
| ( X0
= ( vvar @ X4 ) )
| ( X3 = X4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1559]) ).
thf(zip_derived_cl1563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ( vsubst @ X0 @ X3 @ X2 )
= ( vvar @ X1 ) )
| ( X2
!= ( vvar @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1561]) ).
thf(zip_derived_cl1564,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vsubst @ X2 @ X1 @ ( vvar @ X0 ) )
= ( vvar @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1563]) ).
thf(zip_derived_cl154_001,plain,
~ ( vtcheck @ sk__75 @ ( vsubst @ sk__76 @ sk__77 @ ( vvar @ sk__78 ) ) @ sk__79 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1569,plain,
( ~ ( vtcheck @ sk__75 @ ( vvar @ sk__78 ) @ sk__79 )
| ( sk__76 = sk__78 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1564,zip_derived_cl154]) ).
thf(zip_derived_cl1591,plain,
( ( visFreeVar @ sk__76 @ ( vvar @ sk__78 ) )
| ( sk__76 = sk__78 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1588,zip_derived_cl1569]) ).
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_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( vvar @ X0 ) )
| ( X3 != X2 )
| ( X0 = X2 )
| ~ ( visFreeVar @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[isFreeVar0]) ).
thf(zip_derived_cl1516,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( visFreeVar @ X1 @ X0 )
| ( X2 = X1 )
| ( X0
!= ( vvar @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl1594,plain,
! [X0: $i] :
( ( sk__76 = sk__78 )
| ( ( vvar @ sk__78 )
!= ( vvar @ X0 ) )
| ( X0 = sk__76 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1591,zip_derived_cl1516]) ).
thf(zip_derived_cl1597,plain,
( ( sk__78 = sk__76 )
| ( sk__76 = sk__78 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1594]) ).
thf(zip_derived_cl1598,plain,
sk__78 = sk__76,
inference(simplify,[status(thm)],[zip_derived_cl1597]) ).
thf(zip_derived_cl1602,plain,
( ~ ( vtcheck @ sk__75 @ sk__77 @ sk__79 )
| ( ( vvar @ sk__76 )
!= ( vvar @ sk__76 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1552,zip_derived_cl1598]) ).
thf(zip_derived_cl1603,plain,
~ ( vtcheck @ sk__75 @ sk__77 @ sk__79 ),
inference(simplify,[status(thm)],[zip_derived_cl1602]) ).
thf(zip_derived_cl155_002,plain,
vtcheck @ ( vbind @ sk__76 @ sk__74 @ sk__75 ) @ ( vvar @ sk__78 ) @ sk__79,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1598_003,plain,
sk__78 = sk__76,
inference(simplify,[status(thm)],[zip_derived_cl1597]) ).
thf(zip_derived_cl1601,plain,
vtcheck @ ( vbind @ sk__76 @ sk__74 @ sk__75 ) @ ( vvar @ sk__76 ) @ sk__79,
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl1598]) ).
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_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_cl485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( vtcheck @ X2 @ X0 @ X1 )
| ( zip_tseitin_17 @ ( sk__72 @ X2 @ X1 @ X0 ) @ ( sk__71 @ X2 @ X1 @ X0 ) @ ( sk__70 @ X2 @ X1 @ X0 ) @ ( sk__69 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ( zip_tseitin_16 @ ( sk__68 @ X2 @ X1 @ X0 ) @ ( sk__67 @ X2 @ X1 @ X0 ) @ ( sk__66 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ( X0
= ( vvar @ ( sk__73 @ X2 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl149]) ).
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_cl500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( vvar @ ( sk__73 @ X2 @ X0 @ X1 ) ) )
| ( zip_tseitin_17 @ ( sk__72 @ X2 @ X0 @ X1 ) @ ( sk__71 @ X2 @ X0 @ X1 ) @ ( sk__70 @ X2 @ X0 @ X1 ) @ ( sk__69 @ X2 @ X0 @ X1 ) @ X2 @ X0 @ X1 )
| ~ ( vtcheck @ X2 @ X1 @ X0 )
| ( X1
= ( vapp @ ( sk__66 @ X2 @ X0 @ X1 ) @ ( sk__67 @ X2 @ X0 @ X1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl485,zip_derived_cl144]) ).
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_cl562,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( vapp @ ( sk__66 @ X2 @ X1 @ X0 ) @ ( sk__67 @ X2 @ X1 @ X0 ) ) )
| ~ ( vtcheck @ X2 @ X0 @ X1 )
| ( X0
= ( vvar @ ( sk__73 @ X2 @ X1 @ X0 ) ) )
| ( X0
= ( vabs @ ( sk__69 @ X2 @ X1 @ X0 ) @ ( sk__71 @ X2 @ X1 @ X0 ) @ ( sk__70 @ X2 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl500,zip_derived_cl147]) ).
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_cl1761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( vvar @ X3 )
!= X0 )
| ( X0
= ( vabs @ ( sk__69 @ X2 @ X1 @ X0 ) @ ( sk__71 @ X2 @ X1 @ X0 ) @ ( sk__70 @ X2 @ X1 @ X0 ) ) )
| ~ ( vtcheck @ X2 @ X0 @ X1 )
| ( X0
= ( vapp @ ( sk__66 @ X2 @ X1 @ X0 ) @ ( sk__67 @ X2 @ X1 @ X0 ) ) )
| ( X3
= ( sk__73 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl0]) ).
thf(zip_derived_cl13097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( sk__73 @ X2 @ X1 @ ( vvar @ X0 ) ) )
| ( ( vvar @ X0 )
= ( vapp @ ( sk__66 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__67 @ X2 @ X1 @ ( vvar @ X0 ) ) ) )
| ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 )
| ( ( vvar @ X0 )
= ( vabs @ ( sk__69 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__71 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__70 @ X2 @ X1 @ ( vvar @ X0 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1761]) ).
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('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_cl13098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( sk__73 @ X2 @ X1 @ ( vvar @ X0 ) ) )
| ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13097,zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl150_004,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_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_cl484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( vtcheck @ X2 @ X0 @ X1 )
| ( zip_tseitin_17 @ ( sk__72 @ X2 @ X1 @ X0 ) @ ( sk__71 @ X2 @ X1 @ X0 ) @ ( sk__70 @ X2 @ X1 @ X0 ) @ ( sk__69 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ( zip_tseitin_16 @ ( sk__68 @ X2 @ X1 @ X0 ) @ ( sk__67 @ X2 @ X1 @ X0 ) @ ( sk__66 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ( ( vlookup @ ( sk__73 @ X2 @ X1 @ X0 ) @ X2 )
= ( vsomeType @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl150,zip_derived_cl148]) ).
thf(zip_derived_cl144_005,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_cl497,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vlookup @ ( sk__73 @ X2 @ X0 @ X1 ) @ X2 )
= ( vsomeType @ X0 ) )
| ( zip_tseitin_17 @ ( sk__72 @ X2 @ X0 @ X1 ) @ ( sk__71 @ X2 @ X0 @ X1 ) @ ( sk__70 @ X2 @ X0 @ X1 ) @ ( sk__69 @ X2 @ X0 @ X1 ) @ X2 @ X0 @ X1 )
| ~ ( vtcheck @ X2 @ X1 @ X0 )
| ( X1
= ( vapp @ ( sk__66 @ X2 @ X0 @ X1 ) @ ( sk__67 @ X2 @ X0 @ X1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl484,zip_derived_cl144]) ).
thf(zip_derived_cl147_006,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_cl553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( vapp @ ( sk__66 @ X0 @ X2 @ X1 ) @ ( sk__67 @ X0 @ X2 @ X1 ) ) )
| ~ ( vtcheck @ X0 @ X1 @ X2 )
| ( ( vlookup @ ( sk__73 @ X0 @ X2 @ X1 ) @ X0 )
= ( vsomeType @ X2 ) )
| ( X1
= ( vabs @ ( sk__69 @ X0 @ X2 @ X1 ) @ ( sk__71 @ X0 @ X2 @ X1 ) @ ( sk__70 @ X0 @ X2 @ X1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl497,zip_derived_cl147]) ).
thf(zip_derived_cl13120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vlookup @ X0 @ X2 )
= ( vsomeType @ X1 ) )
| ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 )
| ( ( vvar @ X0 )
= ( vabs @ ( sk__69 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__71 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__70 @ X2 @ X1 @ ( vvar @ X0 ) ) ) )
| ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 )
| ( ( vvar @ X0 )
= ( vapp @ ( sk__66 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__67 @ X2 @ X1 @ ( vvar @ X0 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13098,zip_derived_cl553]) ).
thf(zip_derived_cl13163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( vvar @ X0 )
= ( vapp @ ( sk__66 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__67 @ X2 @ X1 @ ( vvar @ X0 ) ) ) )
| ( ( vvar @ X0 )
= ( vabs @ ( sk__69 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__71 @ X2 @ X1 @ ( vvar @ X0 ) ) @ ( sk__70 @ X2 @ X1 @ ( vvar @ X0 ) ) ) )
| ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 )
| ( ( vlookup @ X0 @ X2 )
= ( vsomeType @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13120]) ).
thf(zip_derived_cl9_007,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_cl10_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vvar @ X2 )
!= ( vapp @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[DIFF-var-app]) ).
thf(zip_derived_cl13164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( vtcheck @ X2 @ ( vvar @ X0 ) @ X1 )
| ( ( vlookup @ X0 @ X2 )
= ( vsomeType @ X1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13163,zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl13365,plain,
( ( vlookup @ sk__76 @ ( vbind @ sk__76 @ sk__74 @ sk__75 ) )
= ( vsomeType @ sk__79 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1601,zip_derived_cl13164]) ).
thf(lookup1,axiom,
! [VC: $i,Vx: $i,Vy: $i,VVar0: $i,VCtx0: $i,RESULT: $i,VTy: $i] :
( ( ( VVar0 = Vx )
& ( VCtx0
= ( vbind @ Vy @ VTy @ VC ) ) )
=> ( ( Vx = Vy )
=> ( ( RESULT
= ( vlookup @ VVar0 @ VCtx0 ) )
=> ( RESULT
= ( vsomeType @ VTy ) ) ) ) ) ).
thf(zip_derived_cl37,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
= ( vsomeType @ X5 ) ) ),
inference(cnf,[status(esa)],[lookup1]) ).
thf(zip_derived_cl1549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0
= ( vsomeType @ X1 ) )
| ( X2
!= ( vbind @ X4 @ X1 @ X3 ) )
| ( X5 != X4 )
| ( X0
!= ( vlookup @ X5 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl1554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0
!= ( vlookup @ X2 @ X1 ) )
| ( X1
!= ( vbind @ X2 @ X4 @ X3 ) )
| ( X0
= ( vsomeType @ X4 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1549]) ).
thf(zip_derived_cl1555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0
= ( vsomeType @ X1 ) )
| ( X0
!= ( vlookup @ X3 @ ( vbind @ X3 @ X1 @ X2 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1554]) ).
thf(zip_derived_cl1558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vlookup @ X2 @ ( vbind @ X2 @ X1 @ X0 ) )
= ( vsomeType @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1555]) ).
thf(zip_derived_cl13375,plain,
( ( vsomeType @ sk__74 )
= ( vsomeType @ sk__79 ) ),
inference(demod,[status(thm)],[zip_derived_cl13365,zip_derived_cl1558]) ).
thf(getSomeType0,axiom,
! [VOptTyp0: $i,RESULT: $i,Ve: $i] :
( ( VOptTyp0
= ( vsomeType @ Ve ) )
=> ( ( RESULT
= ( vgetSomeType @ VOptTyp0 ) )
=> ( RESULT = Ve ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( vgetSomeType @ X0 ) )
| ( X0
!= ( vsomeType @ X2 ) )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[getSomeType0]) ).
thf(zip_derived_cl1503,plain,
! [X0: $i,X1: $i] :
( ( ( vgetSomeType @ X0 )
= X1 )
| ( X0
!= ( vsomeType @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl1504,plain,
! [X0: $i] :
( ( vgetSomeType @ ( vsomeType @ X0 ) )
= X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl1503]) ).
thf(zip_derived_cl13408,plain,
( ( vgetSomeType @ ( vsomeType @ sk__74 ) )
= sk__79 ),
inference('sup+',[status(thm)],[zip_derived_cl13375,zip_derived_cl1504]) ).
thf(zip_derived_cl1504_009,plain,
! [X0: $i] :
( ( vgetSomeType @ ( vsomeType @ X0 ) )
= X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl1503]) ).
thf(zip_derived_cl13418,plain,
sk__74 = sk__79,
inference(demod,[status(thm)],[zip_derived_cl13408,zip_derived_cl1504]) ).
thf(zip_derived_cl156,plain,
vtcheck @ sk__75 @ sk__77 @ sk__74,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13421,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1603,zip_derived_cl13418,zip_derived_cl156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : COM135+1 : TPTP v8.1.2. Released v6.4.0.
% 0.05/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TGv7uaFXA1 true
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 13:12:56 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 34.06/5.43 % Solved by fo/fo3_bce.sh.
% 34.06/5.43 % BCE start: 157
% 34.06/5.43 % BCE eliminated: 0
% 34.06/5.43 % PE start: 157
% 34.06/5.43 logic: eq
% 34.06/5.43 % PE eliminated: -34
% 34.06/5.43 % done 1411 iterations in 4.719s
% 34.06/5.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 34.06/5.43 % SZS output start Refutation
% See solution above
% 34.06/5.43
% 34.06/5.43
% 34.16/5.43 % Terminating...
% 34.65/5.55 % Runner terminated.
% 34.65/5.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------