TSTP Solution File: SWV555-1.010 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV555-1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 : Fri May 19 12:17:12 EDT 2023
% Result : Unsatisfiable 93.99s 19.80s
% Output : Refutation 93.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 105
% Syntax : Number of formulae : 196 ( 125 unt; 58 typ; 0 def)
% Number of atoms : 158 ( 157 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 366 ( 22 ~; 20 |; 0 &; 324 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 58 usr; 56 con; 0-3 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(e_84_type,type,
e_84: $i ).
thf(e_85_type,type,
e_85: $i ).
thf(a_80_type,type,
a_80: $i ).
thf(a_82_type,type,
a_82: $i ).
thf(a_74_type,type,
a_74: $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(a_70_type,type,
a_70: $i ).
thf(i8_type,type,
i8: $i ).
thf(e_73_type,type,
e_73: $i ).
thf(a_60_type,type,
a_60: $i ).
thf(a_56_type,type,
a_56: $i ).
thf(i5_type,type,
i5: $i ).
thf(e_59_type,type,
e_59: $i ).
thf(a_78_type,type,
a_78: $i ).
thf(i10_type,type,
i10: $i ).
thf(e_81_type,type,
e_81: $i ).
thf(a_66_type,type,
a_66: $i ).
thf(a_62_type,type,
a_62: $i ).
thf(i6_type,type,
i6: $i ).
thf(e_65_type,type,
e_65: $i ).
thf(a_54_type,type,
a_54: $i ).
thf(a_50_type,type,
a_50: $i ).
thf(i3_type,type,
i3: $i ).
thf(e_53_type,type,
e_53: $i ).
thf(a_64_type,type,
a_64: $i ).
thf(e_63_type,type,
e_63: $i ).
thf(a_48_type,type,
a_48: $i ).
thf(a_44_type,type,
a_44: $i ).
thf(i2_type,type,
i2: $i ).
thf(e_47_type,type,
e_47: $i ).
thf(a_58_type,type,
a_58: $i ).
thf(e_61_type,type,
e_61: $i ).
thf(a_52_type,type,
a_52: $i ).
thf(e_51_type,type,
e_51: $i ).
thf(i4_type,type,
i4: $i ).
thf(e_57_type,type,
e_57: $i ).
thf(a_68_type,type,
a_68: $i ).
thf(i7_type,type,
i7: $i ).
thf(e_67_type,type,
e_67: $i ).
thf(a1_type,type,
a1: $i ).
thf(i1_type,type,
i1: $i ).
thf(e_43_type,type,
e_43: $i ).
thf(e_69_type,type,
e_69: $i ).
thf(a_76_type,type,
a_76: $i ).
thf(e_79_type,type,
e_79: $i ).
thf(a_46_type,type,
a_46: $i ).
thf(e_49_type,type,
e_49: $i ).
thf(i9_type,type,
i9: $i ).
thf(e_77_type,type,
e_77: $i ).
thf(a_72_type,type,
a_72: $i ).
thf(e_71_type,type,
e_71: $i ).
thf(e_75_type,type,
e_75: $i ).
thf(e_55_type,type,
e_55: $i ).
thf(a2_type,type,
a2: $i ).
thf(e_45_type,type,
e_45: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(i_83_type,type,
i_83: $i ).
thf(sk_type,type,
sk: $i > $i > $i ).
thf(45,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(137,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( ( select @ ( store @ C @ A @ D ) @ B )
= ( select @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(41,axiom,
( e_63
= ( select @ a_62 @ i6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).
thf(129,plain,
( e_63
= ( select @ a_62 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(47,axiom,
( e_84
= ( select @ a1 @ i_83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).
thf(142,plain,
( e_84
= ( select @ a1 @ i_83 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(143,plain,
( ( select @ a1 @ i_83 )
= e_84 ),
inference(lifteq,[status(thm)],[142]) ).
thf(11,axiom,
( a_52
= ( store @ a_48 @ i3 @ e_51 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(69,plain,
( a_52
= ( store @ a_48 @ i3 @ e_51 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,axiom,
( e_73
= ( select @ a_68 @ i8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).
thf(101,plain,
( e_73
= ( select @ a_68 @ i8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(34,axiom,
( e_45
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
thf(115,plain,
( e_45
= ( select @ a1 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(36,axiom,
( e_81
= ( select @ a_76 @ i10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).
thf(119,plain,
( e_81
= ( select @ a_76 @ i10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(120,plain,
( ( select @ a_76 @ i10 )
= e_81 ),
inference(lifteq,[status(thm)],[119]) ).
thf(4,axiom,
( a_60
= ( store @ a_56 @ i5 @ e_59 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(55,plain,
( a_60
= ( store @ a_56 @ i5 @ e_59 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(56,plain,
( ( store @ a_56 @ i5 @ e_59 )
= a_60 ),
inference(lifteq,[status(thm)],[55]) ).
thf(2,axiom,
a_80 = a_82,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
thf(51,plain,
a_80 = a_82,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(52,plain,
a_82 = a_80,
inference(lifteq,[status(thm)],[51]) ).
thf(23,axiom,
( e_71
= ( select @ a_70 @ i8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).
thf(93,plain,
( e_71
= ( select @ a_70 @ i8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(94,plain,
( ( select @ a_70 @ i8 )
= e_71 ),
inference(lifteq,[status(thm)],[93]) ).
thf(102,plain,
( ( select @ a_68 @ i8 )
= e_73 ),
inference(lifteq,[status(thm)],[101]) ).
thf(173,plain,
( ( e_71 = e_73 )
| ( ( select @ a_68 @ i8 )
!= ( select @ a_70 @ i8 ) ) ),
inference(paramod_ordered,[status(thm)],[94,102]) ).
thf(179,plain,
( ( e_71 = e_73 )
| ( a_68 != a_70 )
| ( i8 != i8 ) ),
inference(simp,[status(thm)],[173]) ).
thf(184,plain,
( ( e_71 = e_73 )
| ( a_68 != a_70 ) ),
inference(simp,[status(thm)],[179]) ).
thf(31,axiom,
( i_83
= ( sk @ a1 @ a2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).
thf(109,plain,
( i_83
= ( sk @ a1 @ a2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(110,plain,
( ( sk @ a1 @ a2 )
= i_83 ),
inference(lifteq,[status(thm)],[109]) ).
thf(39,axiom,
( e_57
= ( select @ a_52 @ i4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).
thf(125,plain,
( e_57
= ( select @ a_52 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(25,axiom,
( e_75
= ( select @ a_74 @ i9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).
thf(97,plain,
( e_75
= ( select @ a_74 @ i9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(98,plain,
( ( select @ a_74 @ i9 )
= e_75 ),
inference(lifteq,[status(thm)],[97]) ).
thf(24,axiom,
( e_47
= ( select @ a_46 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
thf(95,plain,
( e_47
= ( select @ a_46 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(96,plain,
( ( select @ a_46 @ i2 )
= e_47 ),
inference(lifteq,[status(thm)],[95]) ).
thf(148,plain,
( ( e_75 = e_47 )
| ( ( select @ a_46 @ i2 )
!= ( select @ a_74 @ i9 ) ) ),
inference(paramod_ordered,[status(thm)],[98,96]) ).
thf(152,plain,
( ( e_75 = e_47 )
| ( a_46 != a_74 )
| ( i9 != i2 ) ),
inference(simp,[status(thm)],[148]) ).
thf(5,axiom,
( a_82
= ( store @ a_78 @ i10 @ e_81 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
thf(57,plain,
( a_82
= ( store @ a_78 @ i10 @ e_81 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(29,axiom,
( e_69
= ( select @ a_64 @ i7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).
thf(105,plain,
( e_69
= ( select @ a_64 @ i7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(106,plain,
( ( select @ a_64 @ i7 )
= e_69 ),
inference(lifteq,[status(thm)],[105]) ).
thf(37,axiom,
( e_49
= ( select @ a_44 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
thf(121,plain,
( e_49
= ( select @ a_44 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(7,axiom,
( a_54
= ( store @ a_50 @ i3 @ e_53 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(61,plain,
( a_54
= ( store @ a_50 @ i3 @ e_53 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(42,axiom,
( e_51
= ( select @ a_50 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
thf(131,plain,
( e_51
= ( select @ a_50 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(132,plain,
( ( select @ a_50 @ i3 )
= e_51 ),
inference(lifteq,[status(thm)],[131]) ).
thf(116,plain,
( ( select @ a1 @ i1 )
= e_45 ),
inference(lifteq,[status(thm)],[115]) ).
thf(21,axiom,
( a_56
= ( store @ a_52 @ i4 @ e_55 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(89,plain,
( a_56
= ( store @ a_52 @ i4 @ e_55 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(43,axiom,
( e_79
= ( select @ a_78 @ i10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).
thf(133,plain,
( e_79
= ( select @ a_78 @ i10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(19,axiom,
( a_72
= ( store @ a_68 @ i8 @ e_71 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(85,plain,
( a_72
= ( store @ a_68 @ i8 @ e_71 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(6,axiom,
( a_66
= ( store @ a_62 @ i6 @ e_65 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(59,plain,
( a_66
= ( store @ a_62 @ i6 @ e_65 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(60,plain,
( ( store @ a_62 @ i6 @ e_65 )
= a_66 ),
inference(lifteq,[status(thm)],[59]) ).
thf(35,axiom,
( e_61
= ( select @ a_56 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).
thf(117,plain,
( e_61
= ( select @ a_56 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,axiom,
( a_48
= ( store @ a_44 @ i2 @ e_47 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(65,plain,
( a_48
= ( store @ a_44 @ i2 @ e_47 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,axiom,
( a_74
= ( store @ a_70 @ i8 @ e_73 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(53,plain,
( a_74
= ( store @ a_70 @ i8 @ e_73 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(46,axiom,
( e_85
= ( select @ a2 @ i_83 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).
thf(140,plain,
( e_85
= ( select @ a2 @ i_83 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(141,plain,
( ( select @ a2 @ i_83 )
= e_85 ),
inference(lifteq,[status(thm)],[140]) ).
thf(38,axiom,
( e_65
= ( select @ a_60 @ i6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).
thf(123,plain,
( e_65
= ( select @ a_60 @ i6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(124,plain,
( ( select @ a_60 @ i6 )
= e_65 ),
inference(lifteq,[status(thm)],[123]) ).
thf(15,axiom,
( a_70
= ( store @ a_66 @ i7 @ e_69 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(77,plain,
( a_70
= ( store @ a_66 @ i7 @ e_69 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(134,plain,
( ( select @ a_78 @ i10 )
= e_79 ),
inference(lifteq,[status(thm)],[133]) ).
thf(13,axiom,
( a_68
= ( store @ a_64 @ i7 @ e_67 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(73,plain,
( a_68
= ( store @ a_64 @ i7 @ e_67 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(40,axiom,
( e_55
= ( select @ a_54 @ i4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
thf(127,plain,
( e_55
= ( select @ a_54 @ i4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(128,plain,
( ( select @ a_54 @ i4 )
= e_55 ),
inference(lifteq,[status(thm)],[127]) ).
thf(118,plain,
( ( select @ a_56 @ i5 )
= e_61 ),
inference(lifteq,[status(thm)],[117]) ).
thf(12,axiom,
( a_58
= ( store @ a_54 @ i4 @ e_57 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(71,plain,
( a_58
= ( store @ a_54 @ i4 @ e_57 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(54,plain,
( ( store @ a_70 @ i8 @ e_73 )
= a_74 ),
inference(lifteq,[status(thm)],[53]) ).
thf(33,axiom,
( e_59
= ( select @ a_58 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
thf(113,plain,
( e_59
= ( select @ a_58 @ i5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(17,axiom,
( a_50
= ( store @ a_46 @ i2 @ e_49 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(81,plain,
( a_50
= ( store @ a_46 @ i2 @ e_49 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(28,axiom,
( e_43
= ( select @ a2 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
thf(103,plain,
( e_43
= ( select @ a2 @ i1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(22,axiom,
( a_46
= ( store @ a2 @ i1 @ e_45 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(91,plain,
( a_46
= ( store @ a2 @ i1 @ e_45 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(30,axiom,
( e_77
= ( select @ a_72 @ i9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).
thf(107,plain,
( e_77
= ( select @ a_72 @ i9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(108,plain,
( ( select @ a_72 @ i9 )
= e_77 ),
inference(lifteq,[status(thm)],[107]) ).
thf(130,plain,
( ( select @ a_62 @ i6 )
= e_63 ),
inference(lifteq,[status(thm)],[129]) ).
thf(44,axiom,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(135,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(372,plain,
( ( a_60 = a_74 )
| ( ( store @ a_56 @ i5 @ e_59 )
!= ( store @ a_70 @ i8 @ e_73 ) ) ),
inference(paramod_ordered,[status(thm)],[56,54]) ).
thf(374,plain,
( ( a_60 = a_74 )
| ( a_56 != a_70 )
| ( i5 != i8 )
| ( e_59 != e_73 ) ),
inference(simp,[status(thm)],[372]) ).
thf(32,axiom,
( e_67
= ( select @ a_66 @ i7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).
thf(111,plain,
( e_67
= ( select @ a_66 @ i7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(112,plain,
( ( select @ a_66 @ i7 )
= e_67 ),
inference(lifteq,[status(thm)],[111]) ).
thf(58,plain,
( ( store @ a_78 @ i10 @ e_81 )
= a_82 ),
inference(lifteq,[status(thm)],[57]) ).
thf(776,plain,
( ( store @ a_78 @ i10 @ e_81 )
= a_80 ),
inference(rewrite,[status(thm)],[58,52]) ).
thf(1,negated_conjecture,
e_84 != e_85,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(48,plain,
e_84 != e_85,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
( a_64
= ( store @ a_60 @ i6 @ e_63 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(63,plain,
( a_64
= ( store @ a_60 @ i6 @ e_63 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(49,plain,
e_84 != e_85,
inference(polarity_switch,[status(thm)],[48]) ).
thf(50,plain,
e_85 != e_84,
inference(lifteq,[status(thm)],[49]) ).
thf(10,axiom,
( a_62
= ( store @ a_58 @ i5 @ e_61 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(67,plain,
( a_62
= ( store @ a_58 @ i5 @ e_61 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(26,axiom,
( e_53
= ( select @ a_48 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
thf(99,plain,
( e_53
= ( select @ a_48 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
( a_76
= ( store @ a_72 @ i9 @ e_75 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(87,plain,
( a_76
= ( store @ a_72 @ i9 @ e_75 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(104,plain,
( ( select @ a2 @ i1 )
= e_43 ),
inference(lifteq,[status(thm)],[103]) ).
thf(777,plain,
( ( a_60 = a_80 )
| ( ( store @ a_78 @ i10 @ e_81 )
!= ( store @ a_56 @ i5 @ e_59 ) ) ),
inference(paramod_ordered,[status(thm)],[776,56]) ).
thf(781,plain,
( ( a_60 = a_80 )
| ( a_78 != a_56 )
| ( i10 != i5 )
| ( e_81 != e_59 ) ),
inference(simp,[status(thm)],[777]) ).
thf(114,plain,
( ( select @ a_58 @ i5 )
= e_59 ),
inference(lifteq,[status(thm)],[113]) ).
thf(14,axiom,
( a_44
= ( store @ a1 @ i1 @ e_43 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(75,plain,
( a_44
= ( store @ a1 @ i1 @ e_43 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(144,plain,
( ( e_71 = e_47 )
| ( ( select @ a_46 @ i2 )
!= ( select @ a_70 @ i8 ) ) ),
inference(paramod_ordered,[status(thm)],[96,94]) ).
thf(146,plain,
( ( e_71 = e_47 )
| ( a_46 != a_70 )
| ( i2 != i8 ) ),
inference(simp,[status(thm)],[144]) ).
thf(126,plain,
( ( select @ a_52 @ i4 )
= e_57 ),
inference(lifteq,[status(thm)],[125]) ).
thf(16,axiom,
( a_80
= ( store @ a_76 @ i10 @ e_79 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(79,plain,
( a_80
= ( store @ a_76 @ i10 @ e_79 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(62,plain,
( ( store @ a_50 @ i3 @ e_53 )
= a_54 ),
inference(lifteq,[status(thm)],[61]) ).
thf(122,plain,
( ( select @ a_44 @ i2 )
= e_49 ),
inference(lifteq,[status(thm)],[121]) ).
thf(18,axiom,
( a_78
= ( store @ a_74 @ i9 @ e_77 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(83,plain,
( a_78
= ( store @ a_74 @ i9 @ e_77 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(100,plain,
( ( select @ a_48 @ i3 )
= e_53 ),
inference(lifteq,[status(thm)],[99]) ).
thf(87514,plain,
$false,
inference(cvc4,[status(thm)],[137,129,143,69,101,115,120,56,142,52,184,110,125,93,152,57,106,121,61,132,116,89,133,85,102,60,117,65,97,53,141,109,124,77,96,134,73,128,105,59,118,71,54,113,81,98,103,140,91,108,130,135,374,112,123,776,48,63,95,50,67,127,99,87,104,781,55,114,75,119,146,51,107,126,79,94,131,62,111,122,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV555-1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Fri May 19 02:35:34 EDT 2023
% 0.16/0.38 % CPUTime :
% 1.04/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.40/1.10 % [INFO] Parsing done (164ms).
% 1.40/1.11 % [INFO] Running in sequential loop mode.
% 1.79/1.32 % [INFO] eprover registered as external prover.
% 1.79/1.32 % [INFO] cvc4 registered as external prover.
% 1.79/1.32 % [INFO] Scanning for conjecture ...
% 1.99/1.39 % [INFO] Found a conjecture and 46 axioms. Running axiom selection ...
% 2.12/1.44 % [INFO] Axiom selection finished. Selected 46 axioms (removed 0 axioms).
% 2.36/1.48 % [INFO] Problem is propositional (TPTP CNF).
% 2.36/1.48 % [INFO] Type checking passed.
% 2.36/1.49 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 93.99/19.80 % External prover 'cvc4' found a proof!
% 93.99/19.80 % [INFO] Killing All external provers ...
% 93.99/19.80 % Time passed: 19257ms (effective reasoning time: 18694ms)
% 93.99/19.80 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 93.99/19.80 % Axioms used in derivation (46): hyp7, hyp16, hyp39, hyp20, hyp25, hyp0, hyp38, hyp23, hyp30, hyp18, hyp8, hyp21, hyp10, hyp36, hyp2, hyp19, hyp24, hyp15, hyp28, hyp33, hyp35, hyp3, hyp40, hyp29, hyp34, hyp42, hyp4, hyp13, hyp12, hyp31, hyp41, hyp5, hyp17, hyp26, hyp37, hyp1, hyp11, hyp22, a1, hyp9, hyp43, hyp32, hyp14, hyp6, a2, hyp27
% 93.99/19.80 % No. of inferences in proof: 138
% 93.99/19.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 19257 ms resp. 18694 ms w/o parsing
% 93.99/19.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 93.99/19.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------