%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV547-1.004 : 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 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 62
% Syntax : Number of formulae : 174 ( 140 unt; 0 typ; 0 def)
% Number of atoms : 210 ( 208 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 43 ( 8 ~; 4 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 34 ( 34 usr; 32 con; 0-3 aty)
% Number of variables : 63 ( 60 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
tff(e_492_type,type,
e_492: $i ).
tff(e_491_type,type,
e_491: $i ).
tff(select_type,type,
select: ( $i * $i ) > $i ).
tff(i_490_type,type,
i_490: $i ).
tff(a_489_type,type,
a_489: $i ).
tff(a_479_type,type,
a_479: $i ).
tff(store_type,type,
store: ( $i * $i * $i ) > $i ).
tff(e_478_type,type,
e_478: $i ).
tff(i0_type,type,
i0: $i ).
tff(a_477_type,type,
a_477: $i ).
tff(i2_type,type,
i2: $i ).
tff(e_474_type,type,
e_474: $i ).
tff(a_473_type,type,
a_473: $i ).
tff(a_475_type,type,
a_475: $i ).
tff(e_476_type,type,
e_476: $i ).
tff(e_488_type,type,
e_488: $i ).
tff(a_487_type,type,
a_487: $i ).
tff(a_485_type,type,
a_485: $i ).
tff(e_484_type,type,
e_484: $i ).
tff(a_483_type,type,
a_483: $i ).
tff(i3_type,type,
i3: $i ).
tff(a_471_type,type,
a_471: $i ).
tff(a_481_type,type,
a_481: $i ).
tff(e_470_type,type,
e_470: $i ).
tff(a_469_type,type,
a_469: $i ).
tff(e_465_type,type,
e_465: $i ).
tff(i1_type,type,
i1: $i ).
tff(a_466_type,type,
a_466: $i ).
tff(a_467_type,type,
a_467: $i ).
tff(e_468_type,type,
e_468: $i ).
tff(a_480_type,type,
a_480: $i ).
tff(e_472_type,type,
e_472: $i ).
tff(e_482_type,type,
e_482: $i ).
tff(e_486_type,type,
e_486: $i ).
tff(1,plain,
( ( e_492 = select(a_489,i_490) )
<=> ( e_492 = select(a_489,i_490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
e_492 = select(a_489,i_490),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
tff(3,plain,
e_492 = select(a_489,i_490),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
select(a_489,i_490) = e_492,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( a_479 = store(a_477,i0,e_478) )
<=> ( a_479 = store(a_477,i0,e_478) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
a_479 = store(a_477,i0,e_478),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
tff(7,plain,
a_479 = store(a_477,i0,e_478),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
store(a_477,i0,e_478) = a_479,
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( ( e_478 = select(a_475,i2) )
<=> ( e_478 = select(a_475,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
e_478 = select(a_475,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
tff(11,plain,
e_478 = select(a_475,i2),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
select(a_475,i2) = e_478,
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ( a_475 = store(a_473,i2,e_474) )
<=> ( a_475 = store(a_473,i2,e_474) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
a_475 = store(a_473,i2,e_474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
tff(15,plain,
a_475 = store(a_473,i2,e_474),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
store(a_473,i2,e_474) = a_475,
inference(symmetry,[status(thm)],[15]) ).
tff(17,plain,
select(store(a_473,i2,e_474),i2) = select(a_475,i2),
inference(monotonicity,[status(thm)],[16]) ).
tff(18,plain,
select(store(a_473,i2,e_474),i2) = e_478,
inference(transitivity,[status(thm)],[17,12]) ).
tff(19,plain,
( ( a_477 = store(a_475,i2,e_476) )
<=> ( a_477 = store(a_475,i2,e_476) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
a_477 = store(a_475,i2,e_476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
tff(21,plain,
a_477 = store(a_475,i2,e_476),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
store(a_475,i2,e_476) = a_477,
inference(symmetry,[status(thm)],[21]) ).
tff(23,plain,
( ( e_476 = select(a_475,i0) )
<=> ( e_476 = select(a_475,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,axiom,
e_476 = select(a_475,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
tff(25,plain,
e_476 = select(a_475,i0),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
select(a_475,i0) = e_476,
inference(symmetry,[status(thm)],[25]) ).
tff(27,plain,
select(store(a_473,i2,e_474),i0) = select(a_475,i0),
inference(monotonicity,[status(thm)],[16]) ).
tff(28,plain,
select(store(a_473,i2,e_474),i0) = e_476,
inference(transitivity,[status(thm)],[27,26]) ).
tff(29,plain,
store(store(a_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)) = store(a_475,i2,e_476),
inference(monotonicity,[status(thm)],[16,28]) ).
tff(30,plain,
store(store(a_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)) = a_477,
inference(transitivity,[status(thm)],[29,22]) ).
tff(31,plain,
store(store(store(a_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)),i0,select(store(a_473,i2,e_474),i2)) = store(a_477,i0,e_478),
inference(monotonicity,[status(thm)],[30,18]) ).
tff(32,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(33,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)],[32]) ).
tff(34,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(35,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(36,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)],[35,34]) ).
tff(37,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)],[36]) ).
tff(38,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)],[37,33]) ).
tff(39,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_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)),i0,select(store(a_473,i2,e_474),i2)) = store(store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),i2,select(store(a_473,i2,e_474),i0)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(40,plain,
store(store(store(a_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)),i0,select(store(a_473,i2,e_474),i2)) = store(store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),i2,select(store(a_473,i2,e_474),i0)),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
store(store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),i2,select(store(a_473,i2,e_474),i0)) = store(store(store(a_473,i2,e_474),i2,select(store(a_473,i2,e_474),i0)),i0,select(store(a_473,i2,e_474),i2)),
inference(symmetry,[status(thm)],[40]) ).
tff(42,plain,
select(a_475,i0) = select(store(a_473,i2,e_474),i0),
inference(symmetry,[status(thm)],[27]) ).
tff(43,plain,
( ( e_474 = select(a_471,i3) )
<=> ( e_474 = select(a_471,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
e_474 = select(a_471,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
tff(45,plain,
e_474 = select(a_471,i3),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
select(a_471,i3) = e_474,
inference(symmetry,[status(thm)],[45]) ).
tff(47,plain,
( ( a_471 = store(a_469,i3,e_470) )
<=> ( a_471 = store(a_469,i3,e_470) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
a_471 = store(a_469,i3,e_470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
tff(49,plain,
a_471 = store(a_469,i3,e_470),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
store(a_469,i3,e_470) = a_471,
inference(symmetry,[status(thm)],[49]) ).
tff(51,plain,
( ( e_470 = select(a_467,i0) )
<=> ( e_470 = select(a_467,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,axiom,
e_470 = select(a_467,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
tff(53,plain,
e_470 = select(a_467,i0),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
select(a_467,i0) = e_470,
inference(symmetry,[status(thm)],[53]) ).
tff(55,plain,
( ( a_467 = store(a_466,i1,e_465) )
<=> ( a_467 = store(a_466,i1,e_465) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(56,axiom,
a_467 = store(a_466,i1,e_465),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
tff(57,plain,
a_467 = store(a_466,i1,e_465),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
store(a_466,i1,e_465) = a_467,
inference(symmetry,[status(thm)],[57]) ).
tff(59,plain,
select(store(a_466,i1,e_465),i0) = select(a_467,i0),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
select(store(a_466,i1,e_465),i0) = e_470,
inference(transitivity,[status(thm)],[59,54]) ).
tff(61,plain,
( ( a_469 = store(a_467,i0,e_468) )
<=> ( a_469 = store(a_467,i0,e_468) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
a_469 = store(a_467,i0,e_468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
tff(63,plain,
a_469 = store(a_467,i0,e_468),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
store(a_467,i0,e_468) = a_469,
inference(symmetry,[status(thm)],[63]) ).
tff(65,plain,
( ( e_468 = select(a_467,i3) )
<=> ( e_468 = select(a_467,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,axiom,
e_468 = select(a_467,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
tff(67,plain,
e_468 = select(a_467,i3),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
select(a_467,i3) = e_468,
inference(symmetry,[status(thm)],[67]) ).
tff(69,plain,
select(store(a_466,i1,e_465),i3) = select(a_467,i3),
inference(monotonicity,[status(thm)],[58]) ).
tff(70,plain,
select(store(a_466,i1,e_465),i3) = e_468,
inference(transitivity,[status(thm)],[69,68]) ).
tff(71,plain,
store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)) = store(a_467,i0,e_468),
inference(monotonicity,[status(thm)],[58,70]) ).
tff(72,plain,
store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)) = a_469,
inference(transitivity,[status(thm)],[71,64]) ).
tff(73,plain,
store(store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)),i3,select(store(a_466,i1,e_465),i0)) = store(a_469,i3,e_470),
inference(monotonicity,[status(thm)],[72,60]) ).
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)) )
| ( store(store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)),i3,select(store(a_466,i1,e_465),i0)) = store(store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),i0,select(store(a_466,i1,e_465),i3)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(75,plain,
store(store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)),i3,select(store(a_466,i1,e_465),i0)) = store(store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),i0,select(store(a_466,i1,e_465),i3)),
inference(unit_resolution,[status(thm)],[74,38]) ).
tff(76,plain,
store(store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),i0,select(store(a_466,i1,e_465),i3)) = store(store(store(a_466,i1,e_465),i0,select(store(a_466,i1,e_465),i3)),i3,select(store(a_466,i1,e_465),i0)),
inference(symmetry,[status(thm)],[75]) ).
tff(77,plain,
select(a_467,i3) = select(store(a_466,i1,e_465),i3),
inference(symmetry,[status(thm)],[69]) ).
tff(78,plain,
e_468 = select(store(a_466,i1,e_465),i3),
inference(transitivity,[status(thm)],[67,77]) ).
tff(79,plain,
store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)) = store(a_467,i3,e_470),
inference(monotonicity,[status(thm)],[58,60]) ).
tff(80,plain,
store(a_467,i3,e_470) = store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
( ( a_480 = store(a_467,i3,e_470) )
<=> ( a_480 = store(a_467,i3,e_470) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(82,axiom,
a_480 = store(a_467,i3,e_470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
tff(83,plain,
a_480 = store(a_467,i3,e_470),
inference(modus_ponens,[status(thm)],[82,81]) ).
tff(84,plain,
a_480 = store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),
inference(transitivity,[status(thm)],[83,80]) ).
tff(85,plain,
store(a_480,i0,e_468) = store(store(store(a_466,i1,e_465),i3,select(store(a_466,i1,e_465),i0)),i0,select(store(a_466,i1,e_465),i3)),
inference(monotonicity,[status(thm)],[84,78]) ).
tff(86,plain,
( ( a_481 = store(a_480,i0,e_468) )
<=> ( a_481 = store(a_480,i0,e_468) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
a_481 = store(a_480,i0,e_468),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
tff(88,plain,
a_481 = store(a_480,i0,e_468),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
a_481 = a_471,
inference(transitivity,[status(thm)],[88,85,76,73,50]) ).
tff(90,plain,
select(a_481,i3) = select(a_471,i3),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
( ( e_484 = select(a_481,i3) )
<=> ( e_484 = select(a_481,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,axiom,
e_484 = select(a_481,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
tff(93,plain,
e_484 = select(a_481,i3),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
e_484 = e_474,
inference(transitivity,[status(thm)],[93,90,46]) ).
tff(95,plain,
( ( a_473 = store(a_471,i3,e_472) )
<=> ( a_473 = store(a_471,i3,e_472) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(96,axiom,
a_473 = store(a_471,i3,e_472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
tff(97,plain,
a_473 = store(a_471,i3,e_472),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
store(a_471,i3,e_472) = a_473,
inference(symmetry,[status(thm)],[97]) ).
tff(99,plain,
( ( e_472 = select(a_471,i2) )
<=> ( e_472 = select(a_471,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,axiom,
e_472 = select(a_471,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
tff(101,plain,
e_472 = select(a_471,i2),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
select(a_471,i2) = e_472,
inference(symmetry,[status(thm)],[101]) ).
tff(103,plain,
select(a_481,i2) = select(a_471,i2),
inference(monotonicity,[status(thm)],[89]) ).
tff(104,plain,
( ( e_482 = select(a_481,i2) )
<=> ( e_482 = select(a_481,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(105,axiom,
e_482 = select(a_481,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
tff(106,plain,
e_482 = select(a_481,i2),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
e_482 = e_472,
inference(transitivity,[status(thm)],[106,103,102]) ).
tff(108,plain,
store(a_481,i3,e_482) = store(a_471,i3,e_472),
inference(monotonicity,[status(thm)],[89,107]) ).
tff(109,plain,
( ( a_483 = store(a_481,i3,e_482) )
<=> ( a_483 = store(a_481,i3,e_482) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(110,axiom,
a_483 = store(a_481,i3,e_482),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
tff(111,plain,
a_483 = store(a_481,i3,e_482),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
a_483 = a_473,
inference(transitivity,[status(thm)],[111,108,98]) ).
tff(113,plain,
store(a_483,i2,e_484) = store(a_473,i2,e_474),
inference(monotonicity,[status(thm)],[112,94]) ).
tff(114,plain,
( ( a_485 = store(a_483,i2,e_484) )
<=> ( a_485 = store(a_483,i2,e_484) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(115,axiom,
a_485 = store(a_483,i2,e_484),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
tff(116,plain,
a_485 = store(a_483,i2,e_484),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
a_485 = a_475,
inference(transitivity,[status(thm)],[116,113,16]) ).
tff(118,plain,
select(a_485,i0) = select(a_475,i0),
inference(monotonicity,[status(thm)],[117]) ).
tff(119,plain,
( ( e_488 = select(a_485,i0) )
<=> ( e_488 = select(a_485,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(120,axiom,
e_488 = select(a_485,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
tff(121,plain,
e_488 = select(a_485,i0),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
e_488 = select(store(a_473,i2,e_474),i0),
inference(transitivity,[status(thm)],[121,118,42]) ).
tff(123,plain,
( ( e_486 = select(a_485,i2) )
<=> ( e_486 = select(a_485,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(124,axiom,
e_486 = select(a_485,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
tff(125,plain,
e_486 = select(a_485,i2),
inference(modus_ponens,[status(thm)],[124,123]) ).
tff(126,plain,
select(a_485,i2) = e_486,
inference(symmetry,[status(thm)],[125]) ).
tff(127,plain,
select(a_481,i3) = e_484,
inference(symmetry,[status(thm)],[93]) ).
tff(128,plain,
store(a_481,i3,e_482) = a_483,
inference(symmetry,[status(thm)],[111]) ).
tff(129,plain,
store(store(a_481,i3,e_482),i2,select(a_481,i3)) = store(a_483,i2,e_484),
inference(monotonicity,[status(thm)],[128,127]) ).
tff(130,plain,
store(a_483,i2,e_484) = store(store(a_481,i3,e_482),i2,select(a_481,i3)),
inference(symmetry,[status(thm)],[129]) ).
tff(131,plain,
a_485 = store(store(a_481,i3,e_482),i2,select(a_481,i3)),
inference(transitivity,[status(thm)],[116,130]) ).
tff(132,plain,
select(a_485,i2) = select(store(store(a_481,i3,e_482),i2,select(a_481,i3)),i2),
inference(monotonicity,[status(thm)],[131]) ).
tff(133,plain,
select(store(store(a_481,i3,e_482),i2,select(a_481,i3)),i2) = select(a_485,i2),
inference(symmetry,[status(thm)],[132]) ).
tff(134,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(135,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(136,axiom,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
tff(137,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[136,135]) ).
tff(138,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(skolemize,[status(sab)],[137]) ).
tff(139,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[138,134]) ).
tff(140,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_481,i3,e_482),i2,select(a_481,i3)),i2) = select(a_481,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(141,plain,
select(store(store(a_481,i3,e_482),i2,select(a_481,i3)),i2) = select(a_481,i3),
inference(unit_resolution,[status(thm)],[140,139]) ).
tff(142,plain,
select(a_481,i3) = select(store(store(a_481,i3,e_482),i2,select(a_481,i3)),i2),
inference(symmetry,[status(thm)],[141]) ).
tff(143,plain,
select(a_471,i3) = select(a_481,i3),
inference(symmetry,[status(thm)],[90]) ).
tff(144,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_471,i3,e_472),i2,select(a_471,i3)),i2) = select(a_471,i3) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(145,plain,
select(store(store(a_471,i3,e_472),i2,select(a_471,i3)),i2) = select(a_471,i3),
inference(unit_resolution,[status(thm)],[144,139]) ).
tff(146,plain,
store(store(a_471,i3,e_472),i2,select(a_471,i3)) = store(a_473,i2,e_474),
inference(monotonicity,[status(thm)],[98,46]) ).
tff(147,plain,
store(a_473,i2,e_474) = store(store(a_471,i3,e_472),i2,select(a_471,i3)),
inference(symmetry,[status(thm)],[146]) ).
tff(148,plain,
a_475 = store(store(a_471,i3,e_472),i2,select(a_471,i3)),
inference(transitivity,[status(thm)],[15,147]) ).
tff(149,plain,
select(a_475,i2) = select(store(store(a_471,i3,e_472),i2,select(a_471,i3)),i2),
inference(monotonicity,[status(thm)],[148]) ).
tff(150,plain,
select(store(a_473,i2,e_474),i2) = e_486,
inference(transitivity,[status(thm)],[17,149,145,143,142,133,126]) ).
tff(151,plain,
store(a_483,i2,e_484) = a_485,
inference(symmetry,[status(thm)],[116]) ).
tff(152,plain,
store(a_473,i2,e_474) = store(a_483,i2,e_484),
inference(symmetry,[status(thm)],[113]) ).
tff(153,plain,
store(a_473,i2,e_474) = a_485,
inference(transitivity,[status(thm)],[152,151]) ).
tff(154,plain,
store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)) = store(a_485,i0,e_486),
inference(monotonicity,[status(thm)],[153,150]) ).
tff(155,plain,
store(a_485,i0,e_486) = store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),
inference(symmetry,[status(thm)],[154]) ).
tff(156,plain,
( ( a_487 = store(a_485,i0,e_486) )
<=> ( a_487 = store(a_485,i0,e_486) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(157,axiom,
a_487 = store(a_485,i0,e_486),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
tff(158,plain,
a_487 = store(a_485,i0,e_486),
inference(modus_ponens,[status(thm)],[157,156]) ).
tff(159,plain,
a_487 = store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),
inference(transitivity,[status(thm)],[158,155]) ).
tff(160,plain,
store(a_487,i2,e_488) = store(store(store(a_473,i2,e_474),i0,select(store(a_473,i2,e_474),i2)),i2,select(store(a_473,i2,e_474),i0)),
inference(monotonicity,[status(thm)],[159,122]) ).
tff(161,plain,
( ( a_489 = store(a_487,i2,e_488) )
<=> ( a_489 = store(a_487,i2,e_488) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(162,axiom,
a_489 = store(a_487,i2,e_488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
tff(163,plain,
a_489 = store(a_487,i2,e_488),
inference(modus_ponens,[status(thm)],[162,161]) ).
tff(164,plain,
a_489 = a_479,
inference(transitivity,[status(thm)],[163,160,41,31,8]) ).
tff(165,plain,
select(a_489,i_490) = select(a_479,i_490),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
select(a_479,i_490) = select(a_489,i_490),
inference(symmetry,[status(thm)],[165]) ).
tff(167,plain,
( ( e_491 = select(a_479,i_490) )
<=> ( e_491 = select(a_479,i_490) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(168,axiom,
e_491 = select(a_479,i_490),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
tff(169,plain,
e_491 = select(a_479,i_490),
inference(modus_ponens,[status(thm)],[168,167]) ).
tff(170,plain,
e_491 = e_492,
inference(transitivity,[status(thm)],[169,166,4]) ).
tff(171,plain,
( ( e_491 != e_492 )
<=> ( e_491 != e_492 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(172,axiom,
e_491 != e_492,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(173,plain,
e_491 != e_492,
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
$false,
inference(unit_resolution,[status(thm)],[173,170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV547-1.004 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % 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 10:14:53 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
% 0.11/0.39 % E exiting
%------------------------------------------------------------------------------