TSTP Solution File: SWV537-1.007 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV537-1.007 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 : 600s
% DateTime : Wed Jul 20 20:13:28 EDT 2022
% Result : Unsatisfiable 1.01s 1.18s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 116
% Syntax : Number of formulae : 242 ( 177 unt; 61 typ; 0 def)
% Number of atoms : 446 ( 310 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 492 ( 6 ~; 9 |; 0 &; 477 @)
% ( 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 : 64 ( 61 usr; 60 con; 0-3 aty)
% Number of variables : 54 ( 0 ^ 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a_834,type,
a_834: $i ).
thf(tp_a_836,type,
a_836: $i ).
thf(tp_a_838,type,
a_838: $i ).
thf(tp_a_840,type,
a_840: $i ).
thf(tp_a_842,type,
a_842: $i ).
thf(tp_a_844,type,
a_844: $i ).
thf(tp_a_846,type,
a_846: $i ).
thf(tp_a_848,type,
a_848: $i ).
thf(tp_a_850,type,
a_850: $i ).
thf(tp_a_851,type,
a_851: $i ).
thf(tp_a_853,type,
a_853: $i ).
thf(tp_a_855,type,
a_855: $i ).
thf(tp_a_857,type,
a_857: $i ).
thf(tp_a_859,type,
a_859: $i ).
thf(tp_a_860,type,
a_860: $i ).
thf(tp_a_861,type,
a_861: $i ).
thf(tp_a_863,type,
a_863: $i ).
thf(tp_a_865,type,
a_865: $i ).
thf(tp_a_867,type,
a_867: $i ).
thf(tp_a_869,type,
a_869: $i ).
thf(tp_a_871,type,
a_871: $i ).
thf(tp_a_872,type,
a_872: $i ).
thf(tp_a_874,type,
a_874: $i ).
thf(tp_a_876,type,
a_876: $i ).
thf(tp_a_878,type,
a_878: $i ).
thf(tp_a_880,type,
a_880: $i ).
thf(tp_e_833,type,
e_833: $i ).
thf(tp_e_835,type,
e_835: $i ).
thf(tp_e_837,type,
e_837: $i ).
thf(tp_e_839,type,
e_839: $i ).
thf(tp_e_841,type,
e_841: $i ).
thf(tp_e_843,type,
e_843: $i ).
thf(tp_e_845,type,
e_845: $i ).
thf(tp_e_847,type,
e_847: $i ).
thf(tp_e_849,type,
e_849: $i ).
thf(tp_e_852,type,
e_852: $i ).
thf(tp_e_854,type,
e_854: $i ).
thf(tp_e_856,type,
e_856: $i ).
thf(tp_e_858,type,
e_858: $i ).
thf(tp_e_862,type,
e_862: $i ).
thf(tp_e_864,type,
e_864: $i ).
thf(tp_e_866,type,
e_866: $i ).
thf(tp_e_868,type,
e_868: $i ).
thf(tp_e_870,type,
e_870: $i ).
thf(tp_e_873,type,
e_873: $i ).
thf(tp_e_875,type,
e_875: $i ).
thf(tp_e_877,type,
e_877: $i ).
thf(tp_e_879,type,
e_879: $i ).
thf(tp_e_882,type,
e_882: $i ).
thf(tp_e_883,type,
e_883: $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_i_881,type,
i_881: $i ).
thf(tp_select,type,
select: $i > $i > $i ).
thf(tp_sk,type,
sk: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(2,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(3,axiom,
( i_881
= ( sk @ a_859 @ a_880 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).
thf(4,axiom,
( e_883
= ( select @ a_880 @ i_881 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).
thf(5,axiom,
( e_882
= ( select @ a_859 @ i_881 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).
thf(6,axiom,
( e_879
= ( select @ a_876 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).
thf(7,axiom,
( e_877
= ( select @ a_876 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).
thf(8,axiom,
( e_875
= ( select @ a_872 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).
thf(9,axiom,
( e_873
= ( select @ a_872 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).
thf(10,axiom,
( e_870
= ( select @ a_869 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
thf(11,axiom,
( e_868
= ( select @ a_865 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).
thf(12,axiom,
( e_866
= ( select @ a_865 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).
thf(13,axiom,
( e_864
= ( select @ a_861 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).
thf(14,axiom,
( e_862
= ( select @ a_861 @ i0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).
thf(15,axiom,
( e_858
= ( select @ a_855 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).
thf(16,axiom,
( e_856
= ( select @ a_855 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).
thf(17,axiom,
( e_854
= ( select @ a_851 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).
thf(18,axiom,
( e_852
= ( select @ a_851 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).
thf(19,axiom,
( e_849
= ( select @ a_848 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).
thf(20,axiom,
( e_847
= ( select @ a_844 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).
thf(21,axiom,
( e_845
= ( select @ a_844 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).
thf(22,axiom,
( e_843
= ( select @ a_840 @ i0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).
thf(23,axiom,
( e_841
= ( select @ a_840 @ i5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).
thf(24,axiom,
( e_839
= ( select @ a_836 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).
thf(25,axiom,
( e_837
= ( select @ a_836 @ i1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
thf(26,axiom,
( e_835
= ( select @ a1 @ i4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).
thf(27,axiom,
( e_833
= ( select @ a1 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
thf(28,axiom,
( a_880
= ( store @ a_878 @ i2 @ e_879 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
thf(29,axiom,
( a_878
= ( store @ a_876 @ i5 @ e_877 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
thf(30,axiom,
( a_876
= ( store @ a_874 @ i2 @ e_875 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
thf(31,axiom,
( a_874
= ( store @ a_872 @ i5 @ e_873 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
thf(32,axiom,
( a_872
= ( store @ a_871 @ i1 @ e_870 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
thf(33,axiom,
( a_871
= ( store @ a_869 @ i1 @ e_870 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
thf(34,axiom,
( a_869
= ( store @ a_867 @ i2 @ e_868 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
thf(35,axiom,
( a_867
= ( store @ a_865 @ i5 @ e_866 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(36,axiom,
( a_865
= ( store @ a_863 @ i0 @ e_864 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(37,axiom,
( a_863
= ( store @ a_861 @ i5 @ e_862 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(38,axiom,
( a_861
= ( store @ a_860 @ i2 @ e_837 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(39,axiom,
( a_860
= ( store @ a_836 @ i1 @ e_839 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
thf(40,axiom,
( a_859
= ( store @ a_857 @ i2 @ e_858 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(41,axiom,
( a_857
= ( store @ a_855 @ i5 @ e_856 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(42,axiom,
( a_855
= ( store @ a_853 @ i2 @ e_854 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(43,axiom,
( a_853
= ( store @ a_851 @ i5 @ e_852 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(44,axiom,
( a_851
= ( store @ a_850 @ i1 @ e_849 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(45,axiom,
( a_850
= ( store @ a_848 @ i1 @ e_849 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(46,axiom,
( a_848
= ( store @ a_846 @ i5 @ e_847 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(47,axiom,
( a_846
= ( store @ a_844 @ i2 @ e_845 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(48,axiom,
( a_844
= ( store @ a_842 @ i5 @ e_843 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(49,axiom,
( a_842
= ( store @ a_840 @ i0 @ e_841 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(50,axiom,
( a_840
= ( store @ a_838 @ i1 @ e_839 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(51,axiom,
( a_838
= ( store @ a_836 @ i2 @ e_837 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(52,axiom,
( a_836
= ( store @ a_834 @ i3 @ e_835 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
thf(53,axiom,
( a_834
= ( store @ a1 @ i4 @ e_833 ) ),
file('/export/starexec/sandbox2/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,
e_882 != e_883,
file('/export/starexec/sandbox2/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] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(59,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(60,plain,
( ( i_881
= ( sk @ a_859 @ a_880 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(61,plain,
( ( e_883
= ( select @ a_880 @ i_881 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(62,plain,
( ( e_882
= ( select @ a_859 @ i_881 ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(63,plain,
( ( e_879
= ( select @ a_876 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(64,plain,
( ( e_877
= ( select @ a_876 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(65,plain,
( ( e_875
= ( select @ a_872 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(66,plain,
( ( e_873
= ( select @ a_872 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(67,plain,
( ( e_870
= ( select @ a_869 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(68,plain,
( ( e_868
= ( select @ a_865 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(69,plain,
( ( e_866
= ( select @ a_865 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(70,plain,
( ( e_864
= ( select @ a_861 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(71,plain,
( ( e_862
= ( select @ a_861 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(72,plain,
( ( e_858
= ( select @ a_855 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(73,plain,
( ( e_856
= ( select @ a_855 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(74,plain,
( ( e_854
= ( select @ a_851 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(75,plain,
( ( e_852
= ( select @ a_851 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(76,plain,
( ( e_849
= ( select @ a_848 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(77,plain,
( ( e_847
= ( select @ a_844 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(78,plain,
( ( e_845
= ( select @ a_844 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(79,plain,
( ( e_843
= ( select @ a_840 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(80,plain,
( ( e_841
= ( select @ a_840 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(81,plain,
( ( e_839
= ( select @ a_836 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(82,plain,
( ( e_837
= ( select @ a_836 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(83,plain,
( ( e_835
= ( select @ a1 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(84,plain,
( ( e_833
= ( select @ a1 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(85,plain,
( ( a_880
= ( store @ a_878 @ i2 @ e_879 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(86,plain,
( ( a_878
= ( store @ a_876 @ i5 @ e_877 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(87,plain,
( ( a_876
= ( store @ a_874 @ i2 @ e_875 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(88,plain,
( ( a_874
= ( store @ a_872 @ i5 @ e_873 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(89,plain,
( ( a_872
= ( store @ a_871 @ i1 @ e_870 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(90,plain,
( ( a_871
= ( store @ a_869 @ i1 @ e_870 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(91,plain,
( ( a_869
= ( store @ a_867 @ i2 @ e_868 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(92,plain,
( ( a_867
= ( store @ a_865 @ i5 @ e_866 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(93,plain,
( ( a_865
= ( store @ a_863 @ i0 @ e_864 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(94,plain,
( ( a_863
= ( store @ a_861 @ i5 @ e_862 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(95,plain,
( ( a_861
= ( store @ a_860 @ i2 @ e_837 ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(96,plain,
( ( a_860
= ( store @ a_836 @ i1 @ e_839 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(97,plain,
( ( a_859
= ( store @ a_857 @ i2 @ e_858 ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(98,plain,
( ( a_857
= ( store @ a_855 @ i5 @ e_856 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(99,plain,
( ( a_855
= ( store @ a_853 @ i2 @ e_854 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(100,plain,
( ( a_853
= ( store @ a_851 @ i5 @ e_852 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(101,plain,
( ( a_851
= ( store @ a_850 @ i1 @ e_849 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(102,plain,
( ( a_850
= ( store @ a_848 @ i1 @ e_849 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(103,plain,
( ( a_848
= ( store @ a_846 @ i5 @ e_847 ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(104,plain,
( ( a_846
= ( store @ a_844 @ i2 @ e_845 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(105,plain,
( ( a_844
= ( store @ a_842 @ i5 @ e_843 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(106,plain,
( ( a_842
= ( store @ a_840 @ i0 @ e_841 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(107,plain,
( ( a_840
= ( store @ a_838 @ i1 @ e_839 ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(108,plain,
( ( a_838
= ( store @ a_836 @ i2 @ e_837 ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(109,plain,
( ( a_836
= ( store @ a_834 @ i3 @ e_835 ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(110,plain,
( ( a_834
= ( store @ a1 @ i4 @ e_833 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(111,plain,
( ( ( e_882 != e_883 ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(112,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[57]) ).
thf(113,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(114,plain,
( ( ( e_882 != e_883 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(115,plain,
( ( ( e_882 != e_883 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(116,plain,
( ( a_834
= ( store @ a1 @ i4 @ e_833 ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(117,plain,
( ( a_836
= ( store @ a_834 @ i3 @ e_835 ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(118,plain,
( ( a_838
= ( store @ a_836 @ i2 @ e_837 ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(119,plain,
( ( a_840
= ( store @ a_838 @ i1 @ e_839 ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(120,plain,
( ( a_842
= ( store @ a_840 @ i0 @ e_841 ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(121,plain,
( ( a_844
= ( store @ a_842 @ i5 @ e_843 ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(122,plain,
( ( a_846
= ( store @ a_844 @ i2 @ e_845 ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(123,plain,
( ( a_848
= ( store @ a_846 @ i5 @ e_847 ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(124,plain,
( ( a_850
= ( store @ a_848 @ i1 @ e_849 ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(125,plain,
( ( a_851
= ( store @ a_850 @ i1 @ e_849 ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(126,plain,
( ( a_853
= ( store @ a_851 @ i5 @ e_852 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(127,plain,
( ( a_855
= ( store @ a_853 @ i2 @ e_854 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(128,plain,
( ( a_857
= ( store @ a_855 @ i5 @ e_856 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(129,plain,
( ( a_859
= ( store @ a_857 @ i2 @ e_858 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(130,plain,
( ( a_860
= ( store @ a_836 @ i1 @ e_839 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(131,plain,
( ( a_861
= ( store @ a_860 @ i2 @ e_837 ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(132,plain,
( ( a_863
= ( store @ a_861 @ i5 @ e_862 ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(133,plain,
( ( a_865
= ( store @ a_863 @ i0 @ e_864 ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(134,plain,
( ( a_867
= ( store @ a_865 @ i5 @ e_866 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(135,plain,
( ( a_869
= ( store @ a_867 @ i2 @ e_868 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(136,plain,
( ( a_871
= ( store @ a_869 @ i1 @ e_870 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(137,plain,
( ( a_872
= ( store @ a_871 @ i1 @ e_870 ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(138,plain,
( ( a_874
= ( store @ a_872 @ i5 @ e_873 ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(139,plain,
( ( a_876
= ( store @ a_874 @ i2 @ e_875 ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(140,plain,
( ( a_878
= ( store @ a_876 @ i5 @ e_877 ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(141,plain,
( ( a_880
= ( store @ a_878 @ i2 @ e_879 ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(142,plain,
( ( e_833
= ( select @ a1 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(143,plain,
( ( e_835
= ( select @ a1 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(144,plain,
( ( e_837
= ( select @ a_836 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(145,plain,
( ( e_839
= ( select @ a_836 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(146,plain,
( ( e_841
= ( select @ a_840 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(147,plain,
( ( e_843
= ( select @ a_840 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(148,plain,
( ( e_845
= ( select @ a_844 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(149,plain,
( ( e_847
= ( select @ a_844 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(150,plain,
( ( e_849
= ( select @ a_848 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(151,plain,
( ( e_852
= ( select @ a_851 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(152,plain,
( ( e_854
= ( select @ a_851 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(153,plain,
( ( e_856
= ( select @ a_855 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(154,plain,
( ( e_858
= ( select @ a_855 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(155,plain,
( ( e_862
= ( select @ a_861 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(156,plain,
( ( e_864
= ( select @ a_861 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(157,plain,
( ( e_866
= ( select @ a_865 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(158,plain,
( ( e_868
= ( select @ a_865 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(159,plain,
( ( e_870
= ( select @ a_869 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(160,plain,
( ( e_873
= ( select @ a_872 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(161,plain,
( ( e_875
= ( select @ a_872 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(162,plain,
( ( e_877
= ( select @ a_876 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(163,plain,
( ( e_879
= ( select @ a_876 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(164,plain,
( ( e_882
= ( select @ a_859 @ i_881 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(165,plain,
( ( e_883
= ( select @ a_880 @ i_881 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(166,plain,
( ( i_881
= ( sk @ a_859 @ a_880 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(167,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(168,plain,
( ( ! [I: $i,J: $i] :
( ( I = J )
| ! [A: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(169,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(170,plain,
( ( e_882 = e_883 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(171,plain,
! [SV1: $i] :
( ( ! [SY7: $i,SY8: $i] :
( ( select @ ( store @ SV1 @ SY7 @ SY8 ) @ SY7 )
= SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(172,plain,
! [SV2: $i] :
( ( ! [SY9: $i] :
( ( SV2 = SY9 )
| ! [SY10: $i,SY11: $i] :
( ( select @ ( store @ SY10 @ SV2 @ SY11 ) @ SY9 )
= ( select @ SY10 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(173,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(174,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY12: $i] :
( ( select @ ( store @ SV1 @ SV3 @ SY12 ) @ SV3 )
= SY12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(175,plain,
! [SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
| ! [SY13: $i,SY14: $i] :
( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SV4 )
= ( select @ SY13 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(176,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV3 @ SV5 ) @ SV3 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(177,plain,
! [SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
= $true )
| ( ( ! [SY13: $i,SY14: $i] :
( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SV4 )
= ( select @ SY13 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(178,plain,
! [SV4: $i,SV2: $i,SV6: $i] :
( ( ( ! [SY15: $i] :
( ( select @ ( store @ SV6 @ SV2 @ SY15 ) @ SV4 )
= ( select @ SV6 @ SV4 ) ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(179,plain,
! [SV4: $i,SV7: $i,SV2: $i,SV6: $i] :
( ( ( ( select @ ( store @ SV6 @ SV2 @ SV7 ) @ SV4 )
= ( select @ SV6 @ SV4 ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(180,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[116,179,176,173,170,166,165,164,163,162,161,160,159,158,157,156,155,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117]) ).
thf(181,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV537-1.007 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 15:04:18 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.38
% 0.15/0.38 No.of.Axioms: 54
% 0.15/0.38
% 0.15/0.38 Length.of.Defs: 0
% 0.15/0.38
% 0.15/0.38 Contains.Choice.Funs: false
% 0.15/0.39 (rf:0,axioms:54,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:0,translation:fof_full)....
% 1.01/1.18
% 1.01/1.18 ********************************
% 1.01/1.18 * All subproblems solved! *
% 1.01/1.18 ********************************
% 1.01/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/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:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:180,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.01/1.19
% 1.01/1.19 %**** Beginning of derivation protocol ****
% 1.01/1.19 % SZS output start CNFRefutation
% See solution above
% 1.01/1.19
% 1.01/1.19 %**** End of derivation protocol ****
% 1.01/1.19 %**** no. of clauses in derivation: 181 ****
% 1.01/1.19 %**** clause counter: 180 ****
% 1.01/1.19
% 1.01/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/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:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:180,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------