%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV540-1.007 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:58:06 AM UTC 2026
% Result : Unsatisfiable 168.75s 34.26s
% Output : CNFRefutation 168.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 55
% Syntax : Number of formulae : 192 ( 188 unt; 0 typ; 0 def)
% Number of atoms : 485 ( 339 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 671 ( 6 ~; 17 |; 0 &; 648 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 57 usr; 57 con; 0-3 aty)
% Number of variables : 133 ( 0 ^; 133 !; 0 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a_783,type,
a_783: $i ).
thf(tp_a_785,type,
a_785: $i ).
thf(tp_a_787,type,
a_787: $i ).
thf(tp_a_789,type,
a_789: $i ).
thf(tp_a_791,type,
a_791: $i ).
thf(tp_a_793,type,
a_793: $i ).
thf(tp_a_795,type,
a_795: $i ).
thf(tp_a_797,type,
a_797: $i ).
thf(tp_a_799,type,
a_799: $i ).
thf(tp_a_800,type,
a_800: $i ).
thf(tp_a_802,type,
a_802: $i ).
thf(tp_a_804,type,
a_804: $i ).
thf(tp_a_806,type,
a_806: $i ).
thf(tp_a_808,type,
a_808: $i ).
thf(tp_a_809,type,
a_809: $i ).
thf(tp_a_810,type,
a_810: $i ).
thf(tp_a_812,type,
a_812: $i ).
thf(tp_a_814,type,
a_814: $i ).
thf(tp_a_816,type,
a_816: $i ).
thf(tp_a_818,type,
a_818: $i ).
thf(tp_a_820,type,
a_820: $i ).
thf(tp_a_821,type,
a_821: $i ).
thf(tp_a_823,type,
a_823: $i ).
thf(tp_a_825,type,
a_825: $i ).
thf(tp_a_827,type,
a_827: $i ).
thf(tp_a_829,type,
a_829: $i ).
thf(tp_e_782,type,
e_782: $i ).
thf(tp_e_784,type,
e_784: $i ).
thf(tp_e_786,type,
e_786: $i ).
thf(tp_e_788,type,
e_788: $i ).
thf(tp_e_790,type,
e_790: $i ).
thf(tp_e_792,type,
e_792: $i ).
thf(tp_e_794,type,
e_794: $i ).
thf(tp_e_796,type,
e_796: $i ).
thf(tp_e_798,type,
e_798: $i ).
thf(tp_e_801,type,
e_801: $i ).
thf(tp_e_803,type,
e_803: $i ).
thf(tp_e_805,type,
e_805: $i ).
thf(tp_e_807,type,
e_807: $i ).
thf(tp_e_811,type,
e_811: $i ).
thf(tp_e_813,type,
e_813: $i ).
thf(tp_e_815,type,
e_815: $i ).
thf(tp_e_817,type,
e_817: $i ).
thf(tp_e_819,type,
e_819: $i ).
thf(tp_e_822,type,
e_822: $i ).
thf(tp_e_824,type,
e_824: $i ).
thf(tp_e_826,type,
e_826: $i ).
thf(tp_e_828,type,
e_828: $i ).
thf(tp_i0,type,
i0: $i ).
thf(tp_i1,type,
i1: $i ).
thf(tp_i2,type,
i2: $i ).
thf(tp_i3,type,
i3: $i ).
thf(tp_i4,type,
i4: $i ).
thf(tp_i5,type,
i5: $i ).
thf(tp_select,type,
select: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(2,axiom,
! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(3,axiom,
! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(4,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(5,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(6,axiom,
( e_828
= ( select @ a_825 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).
thf(7,axiom,
( e_826
= ( select @ a_825 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).
thf(8,axiom,
( e_824
= ( select @ a_821 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).
thf(9,axiom,
( e_822
= ( select @ a_821 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).
thf(10,axiom,
( e_819
= ( select @ a_818 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).
thf(11,axiom,
( e_817
= ( select @ a_814 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).
thf(12,axiom,
( e_815
= ( select @ a_814 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).
thf(13,axiom,
( e_813
= ( select @ a_810 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).
thf(14,axiom,
( e_811
= ( select @ a_810 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).
thf(15,axiom,
( e_807
= ( select @ a_804 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).
thf(16,axiom,
( e_805
= ( select @ a_804 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).
thf(17,axiom,
( e_803
= ( select @ a_800 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).
thf(18,axiom,
( e_801
= ( select @ a_800 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).
thf(19,axiom,
( e_798
= ( select @ a_797 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).
thf(20,axiom,
( e_796
= ( select @ a_793 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).
thf(21,axiom,
( e_794
= ( select @ a_793 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).
thf(22,axiom,
( e_792
= ( select @ a_789 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
thf(23,axiom,
( e_790
= ( select @ a_789 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
thf(24,axiom,
( e_788
= ( select @ a_785 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
thf(25,axiom,
( e_786
= ( select @ a_785 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
thf(26,axiom,
( e_784
= ( select @ a1 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(27,axiom,
( e_782
= ( select @ a1 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(28,axiom,
( a_829
= ( store @ a_827 @ i2 @ e_828 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(29,axiom,
( a_827
= ( store @ a_825 @ i5 @ e_826 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(30,axiom,
( a_825
= ( store @ a_823 @ i2 @ e_824 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(31,axiom,
( a_823
= ( store @ a_821 @ i5 @ e_822 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(32,axiom,
( a_821
= ( store @ a_820 @ i1 @ e_819 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(33,axiom,
( a_820
= ( store @ a_818 @ i1 @ e_819 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(34,axiom,
( a_818
= ( store @ a_816 @ i2 @ e_817 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(35,axiom,
( a_816
= ( store @ a_814 @ i5 @ e_815 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(36,axiom,
( a_814
= ( store @ a_812 @ i0 @ e_813 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(37,axiom,
( a_812
= ( store @ a_810 @ i5 @ e_811 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(38,axiom,
( a_810
= ( store @ a_809 @ i2 @ e_786 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(39,axiom,
( a_809
= ( store @ a_785 @ i1 @ e_788 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(40,axiom,
( a_808
= ( store @ a_806 @ i2 @ e_807 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(41,axiom,
( a_806
= ( store @ a_804 @ i5 @ e_805 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(42,axiom,
( a_804
= ( store @ a_802 @ i2 @ e_803 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(43,axiom,
( a_802
= ( store @ a_800 @ i5 @ e_801 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(44,axiom,
( a_800
= ( store @ a_799 @ i1 @ e_798 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(45,axiom,
( a_799
= ( store @ a_797 @ i1 @ e_798 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(46,axiom,
( a_797
= ( store @ a_795 @ i5 @ e_796 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(47,axiom,
( a_795
= ( store @ a_793 @ i2 @ e_794 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(48,axiom,
( a_793
= ( store @ a_791 @ i5 @ e_792 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(49,axiom,
( a_791
= ( store @ a_789 @ i0 @ e_790 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(50,axiom,
( a_789
= ( store @ a_787 @ i1 @ e_788 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(51,axiom,
( a_787
= ( store @ a_785 @ i2 @ e_786 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(52,axiom,
( a_785
= ( store @ a_783 @ i3 @ e_784 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(53,axiom,
( a_783
= ( store @ a1 @ i4 @ e_782 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(54,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(55,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[54]) ).
thf(56,negated_conjecture,
a_808 != a_829,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(57,plain,
$false = $false,
inference(unfold_def,[status(thm)],[55]) ).
thf(58,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(59,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(60,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(61,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(62,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(63,plain,
( ( e_828
= ( select @ a_825 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(64,plain,
( ( e_826
= ( select @ a_825 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(65,plain,
( ( e_824
= ( select @ a_821 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(66,plain,
( ( e_822
= ( select @ a_821 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(67,plain,
( ( e_819
= ( select @ a_818 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(68,plain,
( ( e_817
= ( select @ a_814 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(69,plain,
( ( e_815
= ( select @ a_814 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(70,plain,
( ( e_813
= ( select @ a_810 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(71,plain,
( ( e_811
= ( select @ a_810 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(72,plain,
( ( e_807
= ( select @ a_804 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(73,plain,
( ( e_805
= ( select @ a_804 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(74,plain,
( ( e_803
= ( select @ a_800 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(75,plain,
( ( e_801
= ( select @ a_800 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(76,plain,
( ( e_798
= ( select @ a_797 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(77,plain,
( ( e_796
= ( select @ a_793 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(78,plain,
( ( e_794
= ( select @ a_793 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(79,plain,
( ( e_792
= ( select @ a_789 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(80,plain,
( ( e_790
= ( select @ a_789 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(81,plain,
( ( e_788
= ( select @ a_785 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(82,plain,
( ( e_786
= ( select @ a_785 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(83,plain,
( ( e_784
= ( select @ a1 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(84,plain,
( ( e_782
= ( select @ a1 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(85,plain,
( ( a_829
= ( store @ a_827 @ i2 @ e_828 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(86,plain,
( ( a_827
= ( store @ a_825 @ i5 @ e_826 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(87,plain,
( ( a_825
= ( store @ a_823 @ i2 @ e_824 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(88,plain,
( ( a_823
= ( store @ a_821 @ i5 @ e_822 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(89,plain,
( ( a_821
= ( store @ a_820 @ i1 @ e_819 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(90,plain,
( ( a_820
= ( store @ a_818 @ i1 @ e_819 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(91,plain,
( ( a_818
= ( store @ a_816 @ i2 @ e_817 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(92,plain,
( ( a_816
= ( store @ a_814 @ i5 @ e_815 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(93,plain,
( ( a_814
= ( store @ a_812 @ i0 @ e_813 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(94,plain,
( ( a_812
= ( store @ a_810 @ i5 @ e_811 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(95,plain,
( ( a_810
= ( store @ a_809 @ i2 @ e_786 ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(96,plain,
( ( a_809
= ( store @ a_785 @ i1 @ e_788 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(97,plain,
( ( a_808
= ( store @ a_806 @ i2 @ e_807 ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(98,plain,
( ( a_806
= ( store @ a_804 @ i5 @ e_805 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(99,plain,
( ( a_804
= ( store @ a_802 @ i2 @ e_803 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(100,plain,
( ( a_802
= ( store @ a_800 @ i5 @ e_801 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(101,plain,
( ( a_800
= ( store @ a_799 @ i1 @ e_798 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(102,plain,
( ( a_799
= ( store @ a_797 @ i1 @ e_798 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(103,plain,
( ( a_797
= ( store @ a_795 @ i5 @ e_796 ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(104,plain,
( ( a_795
= ( store @ a_793 @ i2 @ e_794 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(105,plain,
( ( a_793
= ( store @ a_791 @ i5 @ e_792 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(106,plain,
( ( a_791
= ( store @ a_789 @ i0 @ e_790 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(107,plain,
( ( a_789
= ( store @ a_787 @ i1 @ e_788 ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(108,plain,
( ( a_787
= ( store @ a_785 @ i2 @ e_786 ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(109,plain,
( ( a_785
= ( store @ a_783 @ i3 @ e_784 ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(110,plain,
( ( a_783
= ( store @ a1 @ i4 @ e_782 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(111,plain,
( ( a_808 != a_829 )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(112,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[57]) ).
thf(113,plain,
( ( a_808 != a_829 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(114,plain,
( ( a_783
= ( store @ a1 @ i4 @ e_782 ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(115,plain,
( ( a_785
= ( store @ a_783 @ i3 @ e_784 ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(116,plain,
( ( a_787
= ( store @ a_785 @ i2 @ e_786 ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(117,plain,
( ( a_789
= ( store @ a_787 @ i1 @ e_788 ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(118,plain,
( ( a_791
= ( store @ a_789 @ i0 @ e_790 ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(119,plain,
( ( a_793
= ( store @ a_791 @ i5 @ e_792 ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(120,plain,
( ( a_795
= ( store @ a_793 @ i2 @ e_794 ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(121,plain,
( ( a_797
= ( store @ a_795 @ i5 @ e_796 ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(122,plain,
( ( a_799
= ( store @ a_797 @ i1 @ e_798 ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(123,plain,
( ( a_800
= ( store @ a_799 @ i1 @ e_798 ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(124,plain,
( ( a_802
= ( store @ a_800 @ i5 @ e_801 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(125,plain,
( ( a_804
= ( store @ a_802 @ i2 @ e_803 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(126,plain,
( ( a_806
= ( store @ a_804 @ i5 @ e_805 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(127,plain,
( ( a_808
= ( store @ a_806 @ i2 @ e_807 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(128,plain,
( ( a_809
= ( store @ a_785 @ i1 @ e_788 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(129,plain,
( ( a_810
= ( store @ a_809 @ i2 @ e_786 ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(130,plain,
( ( a_812
= ( store @ a_810 @ i5 @ e_811 ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(131,plain,
( ( a_814
= ( store @ a_812 @ i0 @ e_813 ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(132,plain,
( ( a_816
= ( store @ a_814 @ i5 @ e_815 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(133,plain,
( ( a_818
= ( store @ a_816 @ i2 @ e_817 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(134,plain,
( ( a_820
= ( store @ a_818 @ i1 @ e_819 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(135,plain,
( ( a_821
= ( store @ a_820 @ i1 @ e_819 ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(136,plain,
( ( a_823
= ( store @ a_821 @ i5 @ e_822 ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(137,plain,
( ( a_825
= ( store @ a_823 @ i2 @ e_824 ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(138,plain,
( ( a_827
= ( store @ a_825 @ i5 @ e_826 ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(139,plain,
( ( a_829
= ( store @ a_827 @ i2 @ e_828 ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(140,plain,
( ( e_782
= ( select @ a1 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(141,plain,
( ( e_784
= ( select @ a1 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(142,plain,
( ( e_786
= ( select @ a_785 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(143,plain,
( ( e_788
= ( select @ a_785 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(144,plain,
( ( e_790
= ( select @ a_789 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(145,plain,
( ( e_792
= ( select @ a_789 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(146,plain,
( ( e_794
= ( select @ a_793 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(147,plain,
( ( e_796
= ( select @ a_793 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(148,plain,
( ( e_798
= ( select @ a_797 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(149,plain,
( ( e_801
= ( select @ a_800 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(150,plain,
( ( e_803
= ( select @ a_800 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(151,plain,
( ( e_805
= ( select @ a_804 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(152,plain,
( ( e_807
= ( select @ a_804 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(153,plain,
( ( e_811
= ( select @ a_810 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(154,plain,
( ( e_813
= ( select @ a_810 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(155,plain,
( ( e_815
= ( select @ a_814 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(156,plain,
( ( e_817
= ( select @ a_814 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(157,plain,
( ( e_819
= ( select @ a_818 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(158,plain,
( ( e_822
= ( select @ a_821 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(159,plain,
( ( e_824
= ( select @ a_821 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(160,plain,
( ( e_826
= ( select @ a_825 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(161,plain,
( ( e_828
= ( select @ a_825 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(162,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(163,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(164,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(165,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(166,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(167,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[112]) ).
thf(168,plain,
( ( a_808 != a_829 )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(169,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SV1 @ SY18 @ SY19 ) @ SY18 )
= SY19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV2: $i] :
( ( ! [SY20: $i,SY21: $i,SY22: $i] :
( ( SV2 = SY20 )
| ( ( select @ ( store @ SY21 @ SV2 @ SY22 ) @ SY20 )
= ( select @ SY21 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(171,plain,
! [SV3: $i] :
( ( ! [SY23: $i] :
( ( store @ SV3 @ SY23 @ ( select @ SV3 @ SY23 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(172,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( store @ ( store @ SV4 @ SY24 @ SY25 ) @ SY24 @ SY26 )
= ( store @ SV4 @ SY24 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(173,plain,
! [SV5: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i,SY30: $i] :
( ( SV5 = SY27 )
| ( ( store @ ( store @ SY28 @ SV5 @ SY29 ) @ SY27 @ SY30 )
= ( store @ ( store @ SY28 @ SY27 @ SY30 ) @ SV5 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(174,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(175,plain,
( ( a_808 = a_829 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(176,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY31: $i] :
( ( select @ ( store @ SV1 @ SV6 @ SY31 ) @ SV6 )
= SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(177,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SV2 = SV7 )
| ( ( select @ ( store @ SY32 @ SV2 @ SY33 ) @ SV7 )
= ( select @ SY32 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(178,plain,
! [SV8: $i,SV3: $i] :
( ( ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV8 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(179,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SY34 ) @ SV9 @ SY35 )
= ( store @ SV4 @ SV9 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SY36 @ SV5 @ SY37 ) @ SV10 @ SY38 )
= ( store @ ( store @ SY36 @ SV10 @ SY38 ) @ SV5 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(181,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV6 @ SV11 ) @ SV6 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(182,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY39: $i] :
( ( SV2 = SV7 )
| ( ( select @ ( store @ SV12 @ SV2 @ SY39 ) @ SV7 )
= ( select @ SV12 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(183,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ! [SY40: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SV13 ) @ SV9 @ SY40 )
= ( store @ SV4 @ SV9 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(184,plain,
! [SV14: $i,SV10: $i,SV5: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SY41 ) @ SV10 @ SY42 )
= ( store @ ( store @ SV14 @ SV10 @ SY42 ) @ SV5 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(185,plain,
! [SV15: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
| ( ( select @ ( store @ SV12 @ SV2 @ SV15 ) @ SV7 )
= ( select @ SV12 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(186,plain,
! [SV16: $i,SV13: $i,SV9: $i,SV4: $i] :
( ( ( store @ ( store @ SV4 @ SV9 @ SV13 ) @ SV9 @ SV16 )
= ( store @ SV4 @ SV9 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(187,plain,
! [SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ! [SY43: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SY43 )
= ( store @ ( store @ SV14 @ SV10 @ SY43 ) @ SV5 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(188,plain,
! [SV15: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $true )
| ( ( ( select @ ( store @ SV12 @ SV2 @ SV15 ) @ SV7 )
= ( select @ SV12 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(189,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SV18 )
= ( store @ ( store @ SV14 @ SV10 @ SV18 ) @ SV5 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
= $true )
| ( ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SV18 )
= ( store @ ( store @ SV14 @ SV10 @ SV18 ) @ SV5 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(191,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[114,190,188,186,181,178,175,174,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115]) ).
thf(192,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV540-1.007 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.23 % Computer : n005.cluster.edu
% 0.05/0.23 % Model : x86_64 x86_64
% 0.05/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.23 % Memory : 8046.5625MB
% 0.05/0.23 % OS : Linux 6.8.0-71-generic
% 0.05/0.23 % CPULimit : 300
% 0.05/0.23 % WCLimit : 300
% 0.05/0.23 % DateTime : Tue Oct 6 16:36:24 UTC 2026
% 0.05/0.23 % CPUTime :
% 0.05/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.75/34.26
% 168.75/34.26 No.of.Axioms: 54
% 168.75/34.26
% 168.75/34.26 Length.of.Defs: 0
% 168.75/34.26
% 168.75/34.26 Contains.Choice.Funs: false
% 168.75/34.26 ...
% 168.75/34.26
% 168.75/34.26 ********************************
% 168.75/34.26 * All subproblems solved! *
% 168.75/34.26 ********************************
% 168.75/34.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:191,loop_count:0,foatp_calls:1,translation:fof_full)
% 168.75/34.26
% 168.75/34.26 %**** Beginning of derivation protocol ****
% 168.75/34.26 % SZS output start CNFRefutation
% See solution above
% 168.75/34.27
% 168.75/34.27 %**** End of derivation protocol ****
% 168.75/34.27 %**** no. of clauses in derivation: 192 ****
% 168.75/34.27 %**** clause counter: 191 ****
% 168.75/34.27
% 168.75/34.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:191,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------