%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV547-1.007 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:35:29 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 107
% Syntax : Number of formulae : 293 ( 236 unt; 0 typ; 0 def)
% Number of atoms : 352 ( 350 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 67 ( 9 ~; 5 |; 0 &)
% ( 53 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 55 con; 0-3 aty)
% Number of variables : 66 ( 63 !; 0 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
tff(e_883_type,type,
e_883: $i ).
tff(e_882_type,type,
e_882: $i ).
tff(select_type,type,
select: ( $i * $i ) > $i ).
tff(i_881_type,type,
i_881: $i ).
tff(a_880_type,type,
a_880: $i ).
tff(a_859_type,type,
a_859: $i ).
tff(store_type,type,
store: ( $i * $i * $i ) > $i ).
tff(e_858_type,type,
e_858: $i ).
tff(i2_type,type,
i2: $i ).
tff(a_857_type,type,
a_857: $i ).
tff(e_879_type,type,
e_879: $i ).
tff(a_878_type,type,
a_878: $i ).
tff(i5_type,type,
i5: $i ).
tff(a_855_type,type,
a_855: $i ).
tff(a_876_type,type,
a_876: $i ).
tff(e_854_type,type,
e_854: $i ).
tff(a_853_type,type,
a_853: $i ).
tff(e_875_type,type,
e_875: $i ).
tff(a_874_type,type,
a_874: $i ).
tff(a_851_type,type,
a_851: $i ).
tff(a_872_type,type,
a_872: $i ).
tff(e_849_type,type,
e_849: $i ).
tff(i1_type,type,
i1: $i ).
tff(a_850_type,type,
a_850: $i ).
tff(e_870_type,type,
e_870: $i ).
tff(a_871_type,type,
a_871: $i ).
tff(a_848_type,type,
a_848: $i ).
tff(a_869_type,type,
a_869: $i ).
tff(e_847_type,type,
e_847: $i ).
tff(a_846_type,type,
a_846: $i ).
tff(e_864_type,type,
e_864: $i ).
tff(i0_type,type,
i0: $i ).
tff(a_863_type,type,
a_863: $i ).
tff(a_844_type,type,
a_844: $i ).
tff(a_865_type,type,
a_865: $i ).
tff(e_839_type,type,
e_839: $i ).
tff(a_838_type,type,
a_838: $i ).
tff(a_861_type,type,
a_861: $i ).
tff(a_840_type,type,
a_840: $i ).
tff(e_835_type,type,
e_835: $i ).
tff(i3_type,type,
i3: $i ).
tff(a_834_type,type,
a_834: $i ).
tff(a_836_type,type,
a_836: $i ).
tff(e_837_type,type,
e_837: $i ).
tff(a_860_type,type,
a_860: $i ).
tff(e_862_type,type,
e_862: $i ).
tff(e_843_type,type,
e_843: $i ).
tff(a_842_type,type,
a_842: $i ).
tff(e_841_type,type,
e_841: $i ).
tff(e_845_type,type,
e_845: $i ).
tff(e_868_type,type,
e_868: $i ).
tff(a_867_type,type,
a_867: $i ).
tff(e_866_type,type,
e_866: $i ).
tff(e_852_type,type,
e_852: $i ).
tff(e_873_type,type,
e_873: $i ).
tff(e_856_type,type,
e_856: $i ).
tff(e_877_type,type,
e_877: $i ).
tff(1,plain,
( ( e_883 = select(a_880,i_881) )
<=> ( e_883 = select(a_880,i_881) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
e_883 = select(a_880,i_881),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).
tff(3,plain,
e_883 = select(a_880,i_881),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
select(a_880,i_881) = e_883,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( a_859 = store(a_857,i2,e_858) )
<=> ( a_859 = store(a_857,i2,e_858) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
a_859 = store(a_857,i2,e_858),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
tff(7,plain,
a_859 = store(a_857,i2,e_858),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
store(a_857,i2,e_858) = a_859,
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( ( e_858 = select(a_855,i5) )
<=> ( e_858 = select(a_855,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
e_858 = select(a_855,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).
tff(11,plain,
e_858 = select(a_855,i5),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
select(a_855,i5) = e_858,
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ( a_855 = store(a_853,i2,e_854) )
<=> ( a_855 = store(a_853,i2,e_854) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
a_855 = store(a_853,i2,e_854),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
tff(15,plain,
a_855 = store(a_853,i2,e_854),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
store(a_853,i2,e_854) = a_855,
inference(symmetry,[status(thm)],[15]) ).
tff(17,plain,
( ( e_854 = select(a_851,i5) )
<=> ( e_854 = select(a_851,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,axiom,
e_854 = select(a_851,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).
tff(19,plain,
e_854 = select(a_851,i5),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
select(a_851,i5) = e_854,
inference(symmetry,[status(thm)],[19]) ).
tff(21,plain,
( ( a_851 = store(a_850,i1,e_849) )
<=> ( a_851 = store(a_850,i1,e_849) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,axiom,
a_851 = store(a_850,i1,e_849),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
tff(23,plain,
a_851 = store(a_850,i1,e_849),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
store(a_850,i1,e_849) = a_851,
inference(symmetry,[status(thm)],[23]) ).
tff(25,plain,
( ( e_849 = select(a_848,i1) )
<=> ( e_849 = select(a_848,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
e_849 = select(a_848,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).
tff(27,plain,
e_849 = select(a_848,i1),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
select(a_848,i1) = e_849,
inference(symmetry,[status(thm)],[27]) ).
tff(29,plain,
( ( a_848 = store(a_846,i5,e_847) )
<=> ( a_848 = store(a_846,i5,e_847) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
a_848 = store(a_846,i5,e_847),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
tff(31,plain,
a_848 = store(a_846,i5,e_847),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
store(a_846,i5,e_847) = a_848,
inference(symmetry,[status(thm)],[31]) ).
tff(33,plain,
( ( e_847 = select(a_844,i2) )
<=> ( e_847 = select(a_844,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
e_847 = select(a_844,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).
tff(35,plain,
e_847 = select(a_844,i2),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
select(a_844,i2) = e_847,
inference(symmetry,[status(thm)],[35]) ).
tff(37,plain,
( ( a_865 = store(a_863,i0,e_864) )
<=> ( a_865 = store(a_863,i0,e_864) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,axiom,
a_865 = store(a_863,i0,e_864),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
tff(39,plain,
a_865 = store(a_863,i0,e_864),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
store(a_863,i0,e_864) = a_865,
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
( ( e_864 = select(a_861,i5) )
<=> ( e_864 = select(a_861,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,axiom,
e_864 = select(a_861,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).
tff(43,plain,
e_864 = select(a_861,i5),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
select(a_861,i5) = e_864,
inference(symmetry,[status(thm)],[43]) ).
tff(45,plain,
( ( a_840 = store(a_838,i1,e_839) )
<=> ( a_840 = store(a_838,i1,e_839) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(46,axiom,
a_840 = store(a_838,i1,e_839),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
tff(47,plain,
a_840 = store(a_838,i1,e_839),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
store(a_838,i1,e_839) = a_840,
inference(symmetry,[status(thm)],[47]) ).
tff(49,plain,
( ( e_839 = select(a_836,i2) )
<=> ( e_839 = select(a_836,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
e_839 = select(a_836,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).
tff(51,plain,
e_839 = select(a_836,i2),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
select(a_836,i2) = e_839,
inference(symmetry,[status(thm)],[51]) ).
tff(53,plain,
( ( a_836 = store(a_834,i3,e_835) )
<=> ( a_836 = store(a_834,i3,e_835) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,axiom,
a_836 = store(a_834,i3,e_835),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
tff(55,plain,
a_836 = store(a_834,i3,e_835),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
store(a_834,i3,e_835) = a_836,
inference(symmetry,[status(thm)],[55]) ).
tff(57,plain,
select(store(a_834,i3,e_835),i2) = select(a_836,i2),
inference(monotonicity,[status(thm)],[56]) ).
tff(58,plain,
select(store(a_834,i3,e_835),i2) = e_839,
inference(transitivity,[status(thm)],[57,52]) ).
tff(59,plain,
( ( a_838 = store(a_836,i2,e_837) )
<=> ( a_838 = store(a_836,i2,e_837) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
a_838 = store(a_836,i2,e_837),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
tff(61,plain,
a_838 = store(a_836,i2,e_837),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
store(a_836,i2,e_837) = a_838,
inference(symmetry,[status(thm)],[61]) ).
tff(63,plain,
( ( e_837 = select(a_836,i1) )
<=> ( e_837 = select(a_836,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,axiom,
e_837 = select(a_836,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
tff(65,plain,
e_837 = select(a_836,i1),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
select(a_836,i1) = e_837,
inference(symmetry,[status(thm)],[65]) ).
tff(67,plain,
select(store(a_834,i3,e_835),i1) = select(a_836,i1),
inference(monotonicity,[status(thm)],[56]) ).
tff(68,plain,
select(store(a_834,i3,e_835),i1) = e_837,
inference(transitivity,[status(thm)],[67,66]) ).
tff(69,plain,
store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)) = store(a_836,i2,e_837),
inference(monotonicity,[status(thm)],[56,68]) ).
tff(70,plain,
store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)) = a_838,
inference(transitivity,[status(thm)],[69,62]) ).
tff(71,plain,
store(store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)),i1,select(store(a_834,i3,e_835),i2)) = store(a_838,i1,e_839),
inference(monotonicity,[status(thm)],[70,58]) ).
tff(72,plain,
^ [I: $i,A: $i,J: $i] :
refl(( ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
<=> ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ) )),
inference(bind,[status(th)],[]) ).
tff(73,plain,
( ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
<=> ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
<=> ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,axiom,
! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
tff(76,plain,
! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
( ~ ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
| ( store(store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)),i1,select(store(a_834,i3,e_835),i2)) = store(store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),i2,select(store(a_834,i3,e_835),i1)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(80,plain,
store(store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)),i1,select(store(a_834,i3,e_835),i2)) = store(store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),i2,select(store(a_834,i3,e_835),i1)),
inference(unit_resolution,[status(thm)],[79,78]) ).
tff(81,plain,
store(store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),i2,select(store(a_834,i3,e_835),i1)) = store(store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)),i1,select(store(a_834,i3,e_835),i2)),
inference(symmetry,[status(thm)],[80]) ).
tff(82,plain,
select(a_836,i1) = select(store(a_834,i3,e_835),i1),
inference(symmetry,[status(thm)],[67]) ).
tff(83,plain,
e_837 = select(store(a_834,i3,e_835),i1),
inference(transitivity,[status(thm)],[65,82]) ).
tff(84,plain,
store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)) = store(a_836,i1,e_839),
inference(monotonicity,[status(thm)],[56,58]) ).
tff(85,plain,
store(a_836,i1,e_839) = store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),
inference(symmetry,[status(thm)],[84]) ).
tff(86,plain,
( ( a_860 = store(a_836,i1,e_839) )
<=> ( a_860 = store(a_836,i1,e_839) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
a_860 = store(a_836,i1,e_839),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
tff(88,plain,
a_860 = store(a_836,i1,e_839),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
a_860 = store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),
inference(transitivity,[status(thm)],[88,85]) ).
tff(90,plain,
store(a_860,i2,e_837) = store(store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),i2,select(store(a_834,i3,e_835),i1)),
inference(monotonicity,[status(thm)],[89,83]) ).
tff(91,plain,
( ( a_861 = store(a_860,i2,e_837) )
<=> ( a_861 = store(a_860,i2,e_837) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,axiom,
a_861 = store(a_860,i2,e_837),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
tff(93,plain,
a_861 = store(a_860,i2,e_837),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
a_861 = a_840,
inference(transitivity,[status(thm)],[93,90,81,71,48]) ).
tff(95,plain,
select(a_861,i5) = select(a_840,i5),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
select(a_840,i5) = select(a_861,i5),
inference(symmetry,[status(thm)],[95]) ).
tff(97,plain,
select(store(a_838,i1,e_839),i5) = select(a_840,i5),
inference(monotonicity,[status(thm)],[48]) ).
tff(98,plain,
select(store(a_838,i1,e_839),i5) = e_864,
inference(transitivity,[status(thm)],[97,96,44]) ).
tff(99,plain,
( ( a_863 = store(a_861,i5,e_862) )
<=> ( a_863 = store(a_861,i5,e_862) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,axiom,
a_863 = store(a_861,i5,e_862),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
tff(101,plain,
a_863 = store(a_861,i5,e_862),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
store(a_861,i5,e_862) = a_863,
inference(symmetry,[status(thm)],[101]) ).
tff(103,plain,
( ( e_862 = select(a_861,i0) )
<=> ( e_862 = select(a_861,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(104,axiom,
e_862 = select(a_861,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).
tff(105,plain,
e_862 = select(a_861,i0),
inference(modus_ponens,[status(thm)],[104,103]) ).
tff(106,plain,
select(a_861,i0) = e_862,
inference(symmetry,[status(thm)],[105]) ).
tff(107,plain,
select(a_861,i0) = select(a_840,i0),
inference(monotonicity,[status(thm)],[94]) ).
tff(108,plain,
select(a_840,i0) = select(a_861,i0),
inference(symmetry,[status(thm)],[107]) ).
tff(109,plain,
select(store(a_838,i1,e_839),i0) = select(a_840,i0),
inference(monotonicity,[status(thm)],[48]) ).
tff(110,plain,
select(store(a_838,i1,e_839),i0) = e_862,
inference(transitivity,[status(thm)],[109,108,106]) ).
tff(111,plain,
store(a_860,i2,e_837) = a_861,
inference(symmetry,[status(thm)],[93]) ).
tff(112,plain,
store(store(store(a_834,i3,e_835),i1,select(store(a_834,i3,e_835),i2)),i2,select(store(a_834,i3,e_835),i1)) = store(a_860,i2,e_837),
inference(symmetry,[status(thm)],[90]) ).
tff(113,plain,
store(a_838,i1,e_839) = store(store(store(a_834,i3,e_835),i2,select(store(a_834,i3,e_835),i1)),i1,select(store(a_834,i3,e_835),i2)),
inference(symmetry,[status(thm)],[71]) ).
tff(114,plain,
store(a_838,i1,e_839) = a_861,
inference(transitivity,[status(thm)],[113,80,112,111]) ).
tff(115,plain,
store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)) = store(a_861,i5,e_862),
inference(monotonicity,[status(thm)],[114,110]) ).
tff(116,plain,
store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)) = a_863,
inference(transitivity,[status(thm)],[115,102]) ).
tff(117,plain,
store(store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)),i0,select(store(a_838,i1,e_839),i5)) = store(a_863,i0,e_864),
inference(monotonicity,[status(thm)],[116,98]) ).
tff(118,plain,
( ~ ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
| ( store(store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),i5,select(store(a_838,i1,e_839),i0)) = store(store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)),i0,select(store(a_838,i1,e_839),i5)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(119,plain,
store(store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),i5,select(store(a_838,i1,e_839),i0)) = store(store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)),i0,select(store(a_838,i1,e_839),i5)),
inference(unit_resolution,[status(thm)],[118,78]) ).
tff(120,plain,
select(a_840,i0) = select(store(a_838,i1,e_839),i0),
inference(symmetry,[status(thm)],[109]) ).
tff(121,plain,
( ( e_843 = select(a_840,i0) )
<=> ( e_843 = select(a_840,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(122,axiom,
e_843 = select(a_840,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).
tff(123,plain,
e_843 = select(a_840,i0),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
e_843 = select(store(a_838,i1,e_839),i0),
inference(transitivity,[status(thm)],[123,120]) ).
tff(125,plain,
( ( e_841 = select(a_840,i5) )
<=> ( e_841 = select(a_840,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(126,axiom,
e_841 = select(a_840,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).
tff(127,plain,
e_841 = select(a_840,i5),
inference(modus_ponens,[status(thm)],[126,125]) ).
tff(128,plain,
select(a_840,i5) = e_841,
inference(symmetry,[status(thm)],[127]) ).
tff(129,plain,
select(store(a_838,i1,e_839),i5) = e_841,
inference(transitivity,[status(thm)],[97,128]) ).
tff(130,plain,
store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)) = store(a_840,i0,e_841),
inference(monotonicity,[status(thm)],[48,129]) ).
tff(131,plain,
store(a_840,i0,e_841) = store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),
inference(symmetry,[status(thm)],[130]) ).
tff(132,plain,
( ( a_842 = store(a_840,i0,e_841) )
<=> ( a_842 = store(a_840,i0,e_841) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(133,axiom,
a_842 = store(a_840,i0,e_841),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
tff(134,plain,
a_842 = store(a_840,i0,e_841),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
a_842 = store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),
inference(transitivity,[status(thm)],[134,131]) ).
tff(136,plain,
store(a_842,i5,e_843) = store(store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),i5,select(store(a_838,i1,e_839),i0)),
inference(monotonicity,[status(thm)],[135,124]) ).
tff(137,plain,
( ( a_844 = store(a_842,i5,e_843) )
<=> ( a_844 = store(a_842,i5,e_843) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(138,axiom,
a_844 = store(a_842,i5,e_843),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
tff(139,plain,
a_844 = store(a_842,i5,e_843),
inference(modus_ponens,[status(thm)],[138,137]) ).
tff(140,plain,
a_844 = a_865,
inference(transitivity,[status(thm)],[139,136,119,117,40]) ).
tff(141,plain,
select(a_844,i2) = select(a_865,i2),
inference(monotonicity,[status(thm)],[140]) ).
tff(142,plain,
select(a_865,i2) = select(a_844,i2),
inference(symmetry,[status(thm)],[141]) ).
tff(143,plain,
select(store(a_863,i0,e_864),i2) = select(a_865,i2),
inference(monotonicity,[status(thm)],[40]) ).
tff(144,plain,
select(store(a_863,i0,e_864),i2) = e_847,
inference(transitivity,[status(thm)],[143,142,36]) ).
tff(145,plain,
( ( a_846 = store(a_844,i2,e_845) )
<=> ( a_846 = store(a_844,i2,e_845) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(146,axiom,
a_846 = store(a_844,i2,e_845),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
tff(147,plain,
a_846 = store(a_844,i2,e_845),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
store(a_844,i2,e_845) = a_846,
inference(symmetry,[status(thm)],[147]) ).
tff(149,plain,
( ( e_845 = select(a_844,i5) )
<=> ( e_845 = select(a_844,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(150,axiom,
e_845 = select(a_844,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).
tff(151,plain,
e_845 = select(a_844,i5),
inference(modus_ponens,[status(thm)],[150,149]) ).
tff(152,plain,
select(a_844,i5) = e_845,
inference(symmetry,[status(thm)],[151]) ).
tff(153,plain,
store(a_842,i5,e_843) = a_844,
inference(symmetry,[status(thm)],[139]) ).
tff(154,plain,
store(store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),i5,select(store(a_838,i1,e_839),i0)) = store(a_842,i5,e_843),
inference(symmetry,[status(thm)],[136]) ).
tff(155,plain,
store(store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)),i0,select(store(a_838,i1,e_839),i5)) = store(store(store(a_838,i1,e_839),i0,select(store(a_838,i1,e_839),i5)),i5,select(store(a_838,i1,e_839),i0)),
inference(symmetry,[status(thm)],[119]) ).
tff(156,plain,
store(a_863,i0,e_864) = store(store(store(a_838,i1,e_839),i5,select(store(a_838,i1,e_839),i0)),i0,select(store(a_838,i1,e_839),i5)),
inference(symmetry,[status(thm)],[117]) ).
tff(157,plain,
a_865 = a_844,
inference(transitivity,[status(thm)],[39,156,155,154,153]) ).
tff(158,plain,
select(a_865,i5) = select(a_844,i5),
inference(monotonicity,[status(thm)],[157]) ).
tff(159,plain,
select(store(a_863,i0,e_864),i5) = select(a_865,i5),
inference(monotonicity,[status(thm)],[40]) ).
tff(160,plain,
select(store(a_863,i0,e_864),i5) = e_845,
inference(transitivity,[status(thm)],[159,158,152]) ).
tff(161,plain,
store(a_863,i0,e_864) = a_844,
inference(transitivity,[status(thm)],[156,155,154,153]) ).
tff(162,plain,
store(store(a_863,i0,e_864),i2,select(store(a_863,i0,e_864),i5)) = store(a_844,i2,e_845),
inference(monotonicity,[status(thm)],[161,160]) ).
tff(163,plain,
store(store(a_863,i0,e_864),i2,select(store(a_863,i0,e_864),i5)) = a_846,
inference(transitivity,[status(thm)],[162,148]) ).
tff(164,plain,
store(store(store(a_863,i0,e_864),i2,select(store(a_863,i0,e_864),i5)),i5,select(store(a_863,i0,e_864),i2)) = store(a_846,i5,e_847),
inference(monotonicity,[status(thm)],[163,144]) ).
tff(165,plain,
( ~ ! [I: $i,A: $i,J: $i] : ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
| ( store(store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)),i2,select(store(a_863,i0,e_864),i5)) = store(store(store(a_863,i0,e_864),i2,select(store(a_863,i0,e_864),i5)),i5,select(store(a_863,i0,e_864),i2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(166,plain,
store(store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)),i2,select(store(a_863,i0,e_864),i5)) = store(store(store(a_863,i0,e_864),i2,select(store(a_863,i0,e_864),i5)),i5,select(store(a_863,i0,e_864),i2)),
inference(unit_resolution,[status(thm)],[165,78]) ).
tff(167,plain,
select(a_865,i5) = select(store(a_863,i0,e_864),i5),
inference(symmetry,[status(thm)],[159]) ).
tff(168,plain,
( ( e_868 = select(a_865,i5) )
<=> ( e_868 = select(a_865,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(169,axiom,
e_868 = select(a_865,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).
tff(170,plain,
e_868 = select(a_865,i5),
inference(modus_ponens,[status(thm)],[169,168]) ).
tff(171,plain,
e_868 = select(store(a_863,i0,e_864),i5),
inference(transitivity,[status(thm)],[170,167]) ).
tff(172,plain,
( ( e_866 = select(a_865,i2) )
<=> ( e_866 = select(a_865,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(173,axiom,
e_866 = select(a_865,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).
tff(174,plain,
e_866 = select(a_865,i2),
inference(modus_ponens,[status(thm)],[173,172]) ).
tff(175,plain,
select(a_865,i2) = e_866,
inference(symmetry,[status(thm)],[174]) ).
tff(176,plain,
select(store(a_863,i0,e_864),i2) = e_866,
inference(transitivity,[status(thm)],[143,175]) ).
tff(177,plain,
store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)) = store(a_865,i5,e_866),
inference(monotonicity,[status(thm)],[40,176]) ).
tff(178,plain,
store(a_865,i5,e_866) = store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)),
inference(symmetry,[status(thm)],[177]) ).
tff(179,plain,
( ( a_867 = store(a_865,i5,e_866) )
<=> ( a_867 = store(a_865,i5,e_866) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(180,axiom,
a_867 = store(a_865,i5,e_866),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
tff(181,plain,
a_867 = store(a_865,i5,e_866),
inference(modus_ponens,[status(thm)],[180,179]) ).
tff(182,plain,
a_867 = store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)),
inference(transitivity,[status(thm)],[181,178]) ).
tff(183,plain,
store(a_867,i2,e_868) = store(store(store(a_863,i0,e_864),i5,select(store(a_863,i0,e_864),i2)),i2,select(store(a_863,i0,e_864),i5)),
inference(monotonicity,[status(thm)],[182,171]) ).
tff(184,plain,
( ( a_869 = store(a_867,i2,e_868) )
<=> ( a_869 = store(a_867,i2,e_868) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(185,axiom,
a_869 = store(a_867,i2,e_868),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
tff(186,plain,
a_869 = store(a_867,i2,e_868),
inference(modus_ponens,[status(thm)],[185,184]) ).
tff(187,plain,
a_869 = a_848,
inference(transitivity,[status(thm)],[186,183,166,164,32]) ).
tff(188,plain,
select(a_869,i1) = select(a_848,i1),
inference(monotonicity,[status(thm)],[187]) ).
tff(189,plain,
( ( e_870 = select(a_869,i1) )
<=> ( e_870 = select(a_869,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(190,axiom,
e_870 = select(a_869,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
tff(191,plain,
e_870 = select(a_869,i1),
inference(modus_ponens,[status(thm)],[190,189]) ).
tff(192,plain,
e_870 = e_849,
inference(transitivity,[status(thm)],[191,188,28]) ).
tff(193,plain,
( ( a_850 = store(a_848,i1,e_849) )
<=> ( a_850 = store(a_848,i1,e_849) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(194,axiom,
a_850 = store(a_848,i1,e_849),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
tff(195,plain,
a_850 = store(a_848,i1,e_849),
inference(modus_ponens,[status(thm)],[194,193]) ).
tff(196,plain,
store(a_848,i1,e_849) = a_850,
inference(symmetry,[status(thm)],[195]) ).
tff(197,plain,
store(a_869,i1,e_870) = store(a_848,i1,e_849),
inference(monotonicity,[status(thm)],[187,192]) ).
tff(198,plain,
( ( a_871 = store(a_869,i1,e_870) )
<=> ( a_871 = store(a_869,i1,e_870) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(199,axiom,
a_871 = store(a_869,i1,e_870),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
tff(200,plain,
a_871 = store(a_869,i1,e_870),
inference(modus_ponens,[status(thm)],[199,198]) ).
tff(201,plain,
a_871 = a_850,
inference(transitivity,[status(thm)],[200,197,196]) ).
tff(202,plain,
store(a_871,i1,e_870) = store(a_850,i1,e_849),
inference(monotonicity,[status(thm)],[201,192]) ).
tff(203,plain,
( ( a_872 = store(a_871,i1,e_870) )
<=> ( a_872 = store(a_871,i1,e_870) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(204,axiom,
a_872 = store(a_871,i1,e_870),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
tff(205,plain,
a_872 = store(a_871,i1,e_870),
inference(modus_ponens,[status(thm)],[204,203]) ).
tff(206,plain,
a_872 = a_851,
inference(transitivity,[status(thm)],[205,202,24]) ).
tff(207,plain,
select(a_872,i5) = select(a_851,i5),
inference(monotonicity,[status(thm)],[206]) ).
tff(208,plain,
( ( e_875 = select(a_872,i5) )
<=> ( e_875 = select(a_872,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(209,axiom,
e_875 = select(a_872,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).
tff(210,plain,
e_875 = select(a_872,i5),
inference(modus_ponens,[status(thm)],[209,208]) ).
tff(211,plain,
e_875 = e_854,
inference(transitivity,[status(thm)],[210,207,20]) ).
tff(212,plain,
( ( a_853 = store(a_851,i5,e_852) )
<=> ( a_853 = store(a_851,i5,e_852) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(213,axiom,
a_853 = store(a_851,i5,e_852),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
tff(214,plain,
a_853 = store(a_851,i5,e_852),
inference(modus_ponens,[status(thm)],[213,212]) ).
tff(215,plain,
store(a_851,i5,e_852) = a_853,
inference(symmetry,[status(thm)],[214]) ).
tff(216,plain,
( ( e_852 = select(a_851,i2) )
<=> ( e_852 = select(a_851,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(217,axiom,
e_852 = select(a_851,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).
tff(218,plain,
e_852 = select(a_851,i2),
inference(modus_ponens,[status(thm)],[217,216]) ).
tff(219,plain,
select(a_851,i2) = e_852,
inference(symmetry,[status(thm)],[218]) ).
tff(220,plain,
select(a_872,i2) = select(a_851,i2),
inference(monotonicity,[status(thm)],[206]) ).
tff(221,plain,
( ( e_873 = select(a_872,i2) )
<=> ( e_873 = select(a_872,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(222,axiom,
e_873 = select(a_872,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).
tff(223,plain,
e_873 = select(a_872,i2),
inference(modus_ponens,[status(thm)],[222,221]) ).
tff(224,plain,
e_873 = e_852,
inference(transitivity,[status(thm)],[223,220,219]) ).
tff(225,plain,
store(a_872,i5,e_873) = store(a_851,i5,e_852),
inference(monotonicity,[status(thm)],[206,224]) ).
tff(226,plain,
( ( a_874 = store(a_872,i5,e_873) )
<=> ( a_874 = store(a_872,i5,e_873) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(227,axiom,
a_874 = store(a_872,i5,e_873),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
tff(228,plain,
a_874 = store(a_872,i5,e_873),
inference(modus_ponens,[status(thm)],[227,226]) ).
tff(229,plain,
a_874 = a_853,
inference(transitivity,[status(thm)],[228,225,215]) ).
tff(230,plain,
store(a_874,i2,e_875) = store(a_853,i2,e_854),
inference(monotonicity,[status(thm)],[229,211]) ).
tff(231,plain,
( ( a_876 = store(a_874,i2,e_875) )
<=> ( a_876 = store(a_874,i2,e_875) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(232,axiom,
a_876 = store(a_874,i2,e_875),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
tff(233,plain,
a_876 = store(a_874,i2,e_875),
inference(modus_ponens,[status(thm)],[232,231]) ).
tff(234,plain,
a_876 = a_855,
inference(transitivity,[status(thm)],[233,230,16]) ).
tff(235,plain,
select(a_876,i5) = select(a_855,i5),
inference(monotonicity,[status(thm)],[234]) ).
tff(236,plain,
( ( e_879 = select(a_876,i5) )
<=> ( e_879 = select(a_876,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(237,axiom,
e_879 = select(a_876,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).
tff(238,plain,
e_879 = select(a_876,i5),
inference(modus_ponens,[status(thm)],[237,236]) ).
tff(239,plain,
e_879 = e_858,
inference(transitivity,[status(thm)],[238,235,12]) ).
tff(240,plain,
( ( a_857 = store(a_855,i5,e_856) )
<=> ( a_857 = store(a_855,i5,e_856) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(241,axiom,
a_857 = store(a_855,i5,e_856),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
tff(242,plain,
a_857 = store(a_855,i5,e_856),
inference(modus_ponens,[status(thm)],[241,240]) ).
tff(243,plain,
store(a_855,i5,e_856) = a_857,
inference(symmetry,[status(thm)],[242]) ).
tff(244,plain,
( ( e_856 = select(a_855,i2) )
<=> ( e_856 = select(a_855,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(245,axiom,
e_856 = select(a_855,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).
tff(246,plain,
e_856 = select(a_855,i2),
inference(modus_ponens,[status(thm)],[245,244]) ).
tff(247,plain,
select(a_855,i2) = e_856,
inference(symmetry,[status(thm)],[246]) ).
tff(248,plain,
store(store(a_851,i5,e_852),i2,select(a_851,i5)) = store(a_853,i2,e_854),
inference(monotonicity,[status(thm)],[215,20]) ).
tff(249,plain,
store(a_853,i2,e_854) = store(store(a_851,i5,e_852),i2,select(a_851,i5)),
inference(symmetry,[status(thm)],[248]) ).
tff(250,plain,
a_855 = store(store(a_851,i5,e_852),i2,select(a_851,i5)),
inference(transitivity,[status(thm)],[15,249]) ).
tff(251,plain,
select(a_855,i2) = select(store(store(a_851,i5,e_852),i2,select(a_851,i5)),i2),
inference(monotonicity,[status(thm)],[250]) ).
tff(252,plain,
select(store(store(a_851,i5,e_852),i2,select(a_851,i5)),i2) = select(a_855,i2),
inference(symmetry,[status(thm)],[251]) ).
tff(253,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(254,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(255,axiom,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
tff(256,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[255,254]) ).
tff(257,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(skolemize,[status(sab)],[256]) ).
tff(258,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[257,253]) ).
tff(259,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_851,i5,e_852),i2,select(a_851,i5)),i2) = select(a_851,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(260,plain,
select(store(store(a_851,i5,e_852),i2,select(a_851,i5)),i2) = select(a_851,i5),
inference(unit_resolution,[status(thm)],[259,258]) ).
tff(261,plain,
select(a_851,i5) = select(store(store(a_851,i5,e_852),i2,select(a_851,i5)),i2),
inference(symmetry,[status(thm)],[260]) ).
tff(262,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_872,i5,e_873),i2,select(a_872,i5)),i2) = select(a_872,i5) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(263,plain,
select(store(store(a_872,i5,e_873),i2,select(a_872,i5)),i2) = select(a_872,i5),
inference(unit_resolution,[status(thm)],[262,258]) ).
tff(264,plain,
select(a_872,i5) = e_875,
inference(symmetry,[status(thm)],[210]) ).
tff(265,plain,
store(a_872,i5,e_873) = a_874,
inference(symmetry,[status(thm)],[228]) ).
tff(266,plain,
store(store(a_872,i5,e_873),i2,select(a_872,i5)) = store(a_874,i2,e_875),
inference(monotonicity,[status(thm)],[265,264]) ).
tff(267,plain,
store(a_874,i2,e_875) = store(store(a_872,i5,e_873),i2,select(a_872,i5)),
inference(symmetry,[status(thm)],[266]) ).
tff(268,plain,
a_876 = store(store(a_872,i5,e_873),i2,select(a_872,i5)),
inference(transitivity,[status(thm)],[233,267]) ).
tff(269,plain,
select(a_876,i2) = select(store(store(a_872,i5,e_873),i2,select(a_872,i5)),i2),
inference(monotonicity,[status(thm)],[268]) ).
tff(270,plain,
( ( e_877 = select(a_876,i2) )
<=> ( e_877 = select(a_876,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(271,axiom,
e_877 = select(a_876,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).
tff(272,plain,
e_877 = select(a_876,i2),
inference(modus_ponens,[status(thm)],[271,270]) ).
tff(273,plain,
e_877 = e_856,
inference(transitivity,[status(thm)],[272,269,263,207,261,252,247]) ).
tff(274,plain,
store(a_876,i5,e_877) = store(a_855,i5,e_856),
inference(monotonicity,[status(thm)],[234,273]) ).
tff(275,plain,
( ( a_878 = store(a_876,i5,e_877) )
<=> ( a_878 = store(a_876,i5,e_877) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(276,axiom,
a_878 = store(a_876,i5,e_877),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
tff(277,plain,
a_878 = store(a_876,i5,e_877),
inference(modus_ponens,[status(thm)],[276,275]) ).
tff(278,plain,
a_878 = a_857,
inference(transitivity,[status(thm)],[277,274,243]) ).
tff(279,plain,
store(a_878,i2,e_879) = store(a_857,i2,e_858),
inference(monotonicity,[status(thm)],[278,239]) ).
tff(280,plain,
( ( a_880 = store(a_878,i2,e_879) )
<=> ( a_880 = store(a_878,i2,e_879) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(281,axiom,
a_880 = store(a_878,i2,e_879),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
tff(282,plain,
a_880 = store(a_878,i2,e_879),
inference(modus_ponens,[status(thm)],[281,280]) ).
tff(283,plain,
a_880 = a_859,
inference(transitivity,[status(thm)],[282,279,8]) ).
tff(284,plain,
select(a_880,i_881) = select(a_859,i_881),
inference(monotonicity,[status(thm)],[283]) ).
tff(285,plain,
select(a_859,i_881) = select(a_880,i_881),
inference(symmetry,[status(thm)],[284]) ).
tff(286,plain,
( ( e_882 = select(a_859,i_881) )
<=> ( e_882 = select(a_859,i_881) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(287,axiom,
e_882 = select(a_859,i_881),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).
tff(288,plain,
e_882 = select(a_859,i_881),
inference(modus_ponens,[status(thm)],[287,286]) ).
tff(289,plain,
e_882 = e_883,
inference(transitivity,[status(thm)],[288,285,4]) ).
tff(290,plain,
( ( e_882 != e_883 )
<=> ( e_882 != e_883 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(291,axiom,
e_882 != e_883,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(292,plain,
e_882 != e_883,
inference(modus_ponens,[status(thm)],[291,290]) ).
tff(293,plain,
$false,
inference(unit_resolution,[status(thm)],[292,289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV547-1.007 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 10:14:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Unsatisfiable
% 0.11/0.37 % SZS output start Proof
% See solution above
% 0.19/0.41 % E exiting
%------------------------------------------------------------------------------