TSTP Solution File: SWV543-1.004 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV543-1.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 : Tue May 21 05:52:18 EDT 2024
% Result : Unsatisfiable 56.94s 8.88s
% Output : Refutation 57.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 53
% Syntax : Number of formulae : 162 ( 120 unt; 28 typ; 0 def)
% Number of atoms : 149 ( 148 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 641 ( 19 ~; 15 |; 0 &; 607 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 28 usr; 27 con; 0-3 aty)
% Number of variables : 44 ( 0 ^ 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_430_type,type,
a_430: $i ).
thf(a_440_type,type,
a_440: $i ).
thf(e_425_type,type,
e_425: $i ).
thf(select_type,type,
select: $i > $i > $i ).
thf(a_422_type,type,
a_422: $i ).
thf(i3_type,type,
i3: $i ).
thf(e_421_type,type,
e_421: $i ).
thf(a_418_type,type,
a_418: $i ).
thf(i0_type,type,
i0: $i ).
thf(e_419_type,type,
e_419: $i ).
thf(e_435_type,type,
e_435: $i ).
thf(a_432_type,type,
a_432: $i ).
thf(store_type,type,
store: $i > $i > $i > $i ).
thf(a_420_type,type,
a_420: $i ).
thf(a_431_type,type,
a_431: $i ).
thf(e_437_type,type,
e_437: $i ).
thf(a_436_type,type,
a_436: $i ).
thf(i2_type,type,
i2: $i ).
thf(a_438_type,type,
a_438: $i ).
thf(a_434_type,type,
a_434: $i ).
thf(a_428_type,type,
a_428: $i ).
thf(a_426_type,type,
a_426: $i ).
thf(e_427_type,type,
e_427: $i ).
thf(a_424_type,type,
a_424: $i ).
thf(e_433_type,type,
e_433: $i ).
thf(e_423_type,type,
e_423: $i ).
thf(e_439_type,type,
e_439: $i ).
thf(e_429_type,type,
e_429: $i ).
thf(12,axiom,
( a_438
= ( store @ a_436 @ i0 @ e_437 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
thf(53,plain,
( a_438
= ( store @ a_436 @ i0 @ e_437 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(54,plain,
( ( store @ a_436 @ i0 @ e_437 )
= a_438 ),
inference(lifteq,[status(thm)],[53]) ).
thf(13,axiom,
( a_436
= ( store @ a_434 @ i2 @ e_435 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
thf(55,plain,
( a_436
= ( store @ a_434 @ i2 @ e_435 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(56,plain,
( ( store @ a_434 @ i2 @ e_435 )
= a_436 ),
inference(lifteq,[status(thm)],[55]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ( select @ ( store @ A @ B @ C ) @ B )
= C ),
inference(lifteq,[status(thm)],[79]) ).
thf(1164,plain,
! [C: $i,B: $i,A: $i] :
( ( ( select @ a_436 @ B )
= C )
| ( ( store @ a_434 @ i2 @ e_435 )
!= ( store @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[56,80]) ).
thf(1165,plain,
( ( select @ a_436 @ i2 )
= e_435 ),
inference(pattern_uni,[status(thm)],[1164:[bind(A,$thf( a_434 )),bind(B,$thf( i2 )),bind(C,$thf( e_435 ))]]) ).
thf(10,axiom,
( e_437
= ( select @ a_436 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
thf(49,plain,
( e_437
= ( select @ a_436 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(50,plain,
( ( select @ a_436 @ i2 )
= e_437 ),
inference(lifteq,[status(thm)],[49]) ).
thf(1276,plain,
e_437 = e_435,
inference(rewrite,[status(thm)],[1165,50]) ).
thf(1277,plain,
( ( store @ a_436 @ i0 @ e_435 )
= a_438 ),
inference(rewrite,[status(thm)],[54,1276]) ).
thf(5,axiom,
( e_435
= ( select @ a_432 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
thf(39,plain,
( e_435
= ( select @ a_432 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(40,plain,
( ( select @ a_432 @ i3 )
= e_435 ),
inference(lifteq,[status(thm)],[39]) ).
thf(7,axiom,
( a_431
= ( store @ a_418 @ i3 @ e_421 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
thf(43,plain,
( a_431
= ( store @ a_418 @ i3 @ e_421 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(44,plain,
( ( store @ a_418 @ i3 @ e_421 )
= a_431 ),
inference(lifteq,[status(thm)],[43]) ).
thf(6,axiom,
( a_422
= ( store @ a_420 @ i3 @ e_421 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
thf(41,plain,
( a_422
= ( store @ a_420 @ i3 @ e_421 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(42,plain,
( ( store @ a_420 @ i3 @ e_421 )
= a_422 ),
inference(lifteq,[status(thm)],[41]) ).
thf(1166,plain,
! [C: $i,B: $i,A: $i] :
( ( ( select @ a_422 @ B )
= C )
| ( ( store @ a_420 @ i3 @ e_421 )
!= ( store @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[42,80]) ).
thf(1167,plain,
( ( select @ a_422 @ i3 )
= e_421 ),
inference(pattern_uni,[status(thm)],[1166:[bind(A,$thf( a_420 )),bind(B,$thf( i3 )),bind(C,$thf( e_421 ))]]) ).
thf(2,axiom,
( e_425
= ( select @ a_422 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
thf(33,plain,
( e_425
= ( select @ a_422 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
( ( select @ a_422 @ i3 )
= e_425 ),
inference(lifteq,[status(thm)],[33]) ).
thf(1279,plain,
e_421 = e_425,
inference(rewrite,[status(thm)],[1167,34]) ).
thf(1286,plain,
( ( store @ a_418 @ i3 @ e_425 )
= a_431 ),
inference(rewrite,[status(thm)],[44,1279]) ).
thf(3,axiom,
( e_421
= ( select @ a_418 @ i0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
thf(35,plain,
( e_421
= ( select @ a_418 @ i0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,plain,
( ( select @ a_418 @ i0 )
= e_421 ),
inference(lifteq,[status(thm)],[35]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
inference(lifteq,[status(thm)],[69]) ).
thf(770,plain,
! [C: $i,B: $i,A: $i] :
( ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ e_421 )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) )
| ( ( select @ a_418 @ i0 )
!= ( select @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[36,70]) ).
thf(771,plain,
! [A: $i] :
( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_421 )
= ( store @ ( store @ a_418 @ A @ ( select @ a_418 @ i0 ) ) @ i0 @ ( select @ a_418 @ A ) ) ),
inference(pattern_uni,[status(thm)],[770:[bind(A,$thf( a_418 )),bind(B,$thf( i0 ))]]) ).
thf(962,plain,
! [A: $i] :
( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_421 )
= ( store @ ( store @ a_418 @ A @ ( select @ a_418 @ i0 ) ) @ i0 @ ( select @ a_418 @ A ) ) ),
inference(simp,[status(thm)],[771]) ).
thf(1282,plain,
( ( select @ a_418 @ i0 )
= e_425 ),
inference(rewrite,[status(thm)],[36,1279]) ).
thf(3230,plain,
! [A: $i] :
( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_425 )
= ( store @ ( store @ a_418 @ A @ e_425 ) @ i0 @ ( select @ a_418 @ A ) ) ),
inference(rewrite,[status(thm)],[962,1282,1279]) ).
thf(3322,plain,
! [A: $i] :
( ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_425 )
= ( store @ a_431 @ i0 @ ( select @ a_418 @ A ) ) )
| ( ( store @ a_418 @ i3 @ e_425 )
!= ( store @ a_418 @ A @ e_425 ) ) ),
inference(paramod_ordered,[status(thm)],[1286,3230]) ).
thf(3323,plain,
( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ i3 ) ) @ i3 @ e_425 )
= ( store @ a_431 @ i0 @ ( select @ a_418 @ i3 ) ) ),
inference(pattern_uni,[status(thm)],[3322:[bind(A,$thf( i3 ))]]) ).
thf(4,axiom,
( e_419
= ( select @ a_418 @ i3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
thf(37,plain,
( e_419
= ( select @ a_418 @ i3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(38,plain,
( ( select @ a_418 @ i3 )
= e_419 ),
inference(lifteq,[status(thm)],[37]) ).
thf(3669,plain,
( ( store @ ( store @ a_418 @ i0 @ e_419 ) @ i3 @ e_425 )
= ( store @ a_431 @ i0 @ e_419 ) ),
inference(rewrite,[status(thm)],[3323,38]) ).
thf(3718,plain,
! [C: $i,B: $i,A: $i] :
( ( ( select @ ( store @ a_431 @ i0 @ e_419 ) @ B )
= C )
| ( ( store @ ( store @ a_418 @ i0 @ e_419 ) @ i3 @ e_425 )
!= ( store @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[3669,80]) ).
thf(3719,plain,
( ( select @ ( store @ a_431 @ i0 @ e_419 ) @ i3 )
= e_425 ),
inference(pattern_uni,[status(thm)],[3718:[bind(A,$thf( store @ a_418 @ i0 @ e_419 )),bind(B,$thf( i3 )),bind(C,$thf( e_425 ))]]) ).
thf(9,axiom,
( a_432
= ( store @ a_431 @ i0 @ e_419 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
thf(47,plain,
( a_432
= ( store @ a_431 @ i0 @ e_419 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(48,plain,
( ( store @ a_431 @ i0 @ e_419 )
= a_432 ),
inference(lifteq,[status(thm)],[47]) ).
thf(3824,plain,
( ( select @ a_432 @ i3 )
= e_425 ),
inference(rewrite,[status(thm)],[3719,48]) ).
thf(3825,plain,
e_435 = e_425,
inference(rewrite,[status(thm)],[40,3824]) ).
thf(3952,plain,
( ( store @ a_436 @ i0 @ e_425 )
= a_438 ),
inference(rewrite,[status(thm)],[1277,3825]) ).
thf(14,axiom,
( a_428
= ( store @ a_426 @ i2 @ e_427 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
thf(57,plain,
( a_428
= ( store @ a_426 @ i2 @ e_427 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(58,plain,
( ( store @ a_426 @ i2 @ e_427 )
= a_428 ),
inference(lifteq,[status(thm)],[57]) ).
thf(15,axiom,
( a_426
= ( store @ a_424 @ i2 @ e_425 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
thf(59,plain,
( a_426
= ( store @ a_424 @ i2 @ e_425 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(60,plain,
( ( store @ a_424 @ i2 @ e_425 )
= a_426 ),
inference(lifteq,[status(thm)],[59]) ).
thf(19,axiom,
( a_424
= ( store @ a_422 @ i3 @ e_423 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
thf(67,plain,
( a_424
= ( store @ a_422 @ i3 @ e_423 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(68,plain,
( ( store @ a_422 @ i3 @ e_423 )
= a_424 ),
inference(lifteq,[status(thm)],[67]) ).
thf(23,axiom,
( e_433
= ( select @ a_432 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
thf(75,plain,
( e_433
= ( select @ a_432 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(76,plain,
( ( select @ a_432 @ i2 )
= e_433 ),
inference(lifteq,[status(thm)],[75]) ).
thf(21,axiom,
( a_420
= ( store @ a_418 @ i0 @ e_419 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
thf(71,plain,
( a_420
= ( store @ a_418 @ i0 @ e_419 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(72,plain,
( ( store @ a_418 @ i0 @ e_419 )
= a_420 ),
inference(lifteq,[status(thm)],[71]) ).
thf(3725,plain,
( ( ( store @ a_431 @ i0 @ e_419 )
= ( store @ a_420 @ i3 @ e_425 ) )
| ( ( store @ a_418 @ i0 @ e_419 )
!= ( store @ a_418 @ i0 @ e_419 ) ) ),
inference(paramod_ordered,[status(thm)],[72,3669]) ).
thf(3726,plain,
( ( store @ a_431 @ i0 @ e_419 )
= ( store @ a_420 @ i3 @ e_425 ) ),
inference(pattern_uni,[status(thm)],[3725:[]]) ).
thf(1280,plain,
( ( store @ a_420 @ i3 @ e_425 )
= a_422 ),
inference(rewrite,[status(thm)],[42,1279]) ).
thf(4560,plain,
a_432 = a_422,
inference(rewrite,[status(thm)],[3726,48,1280]) ).
thf(4566,plain,
( ( select @ a_422 @ i2 )
= e_433 ),
inference(rewrite,[status(thm)],[76,4560]) ).
thf(18,axiom,
( e_423
= ( select @ a_422 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
thf(65,plain,
( e_423
= ( select @ a_422 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(66,plain,
( ( select @ a_422 @ i2 )
= e_423 ),
inference(lifteq,[status(thm)],[65]) ).
thf(4568,plain,
e_423 = e_433,
inference(rewrite,[status(thm)],[4566,66]) ).
thf(4572,plain,
( ( store @ a_422 @ i3 @ e_433 )
= a_424 ),
inference(rewrite,[status(thm)],[68,4568]) ).
thf(17,axiom,
( a_434
= ( store @ a_432 @ i3 @ e_433 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
thf(63,plain,
( a_434
= ( store @ a_432 @ i3 @ e_433 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(64,plain,
( ( store @ a_432 @ i3 @ e_433 )
= a_434 ),
inference(lifteq,[status(thm)],[63]) ).
thf(4565,plain,
( ( store @ a_422 @ i3 @ e_433 )
= a_434 ),
inference(rewrite,[status(thm)],[64,4560]) ).
thf(5119,plain,
a_424 = a_434,
inference(rewrite,[status(thm)],[4572,4565]) ).
thf(5120,plain,
( ( store @ a_434 @ i2 @ e_425 )
= a_426 ),
inference(rewrite,[status(thm)],[60,5119]) ).
thf(3946,plain,
( ( store @ a_434 @ i2 @ e_425 )
= a_436 ),
inference(rewrite,[status(thm)],[56,3825]) ).
thf(5122,plain,
a_426 = a_436,
inference(rewrite,[status(thm)],[5120,3946]) ).
thf(5128,plain,
( ( store @ a_436 @ i2 @ e_427 )
= a_428 ),
inference(rewrite,[status(thm)],[58,5122]) ).
thf(22,axiom,
( e_439
= ( select @ a_436 @ i0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
thf(73,plain,
( e_439
= ( select @ a_436 @ i0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(74,plain,
( ( select @ a_436 @ i0 )
= e_439 ),
inference(lifteq,[status(thm)],[73]) ).
thf(792,plain,
! [C: $i,B: $i,A: $i] :
( ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ e_439 )
= ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) )
| ( ( select @ a_436 @ i0 )
!= ( select @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[74,70]) ).
thf(793,plain,
! [A: $i] :
( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_439 )
= ( store @ ( store @ a_436 @ A @ ( select @ a_436 @ i0 ) ) @ i0 @ ( select @ a_436 @ A ) ) ),
inference(pattern_uni,[status(thm)],[792:[bind(A,$thf( a_436 )),bind(B,$thf( i0 ))]]) ).
thf(970,plain,
! [A: $i] :
( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_439 )
= ( store @ ( store @ a_436 @ A @ ( select @ a_436 @ i0 ) ) @ i0 @ ( select @ a_436 @ A ) ) ),
inference(simp,[status(thm)],[793]) ).
thf(16,axiom,
( e_427
= ( select @ a_426 @ i0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
thf(61,plain,
( e_427
= ( select @ a_426 @ i0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(62,plain,
( ( select @ a_426 @ i0 )
= e_427 ),
inference(lifteq,[status(thm)],[61]) ).
thf(5123,plain,
( ( select @ a_436 @ i0 )
= e_427 ),
inference(rewrite,[status(thm)],[62,5122]) ).
thf(228,plain,
( ( e_439 = e_427 )
| ( ( select @ a_426 @ i0 )
!= ( select @ a_436 @ i0 ) ) ),
inference(paramod_ordered,[status(thm)],[74,62]) ).
thf(233,plain,
( ( e_439 = e_427 )
| ( a_426 != a_436 )
| ( i0 != i0 ) ),
inference(simp,[status(thm)],[228]) ).
thf(248,plain,
( ( e_439 = e_427 )
| ( a_426 != a_436 ) ),
inference(simp,[status(thm)],[233]) ).
thf(5125,plain,
( ( e_439 = e_427 )
| ( a_436 != a_436 ) ),
inference(rewrite,[status(thm)],[248,5122]) ).
thf(5126,plain,
e_439 = e_427,
inference(simp,[status(thm)],[5125]) ).
thf(10635,plain,
! [A: $i] :
( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_427 )
= ( store @ ( store @ a_436 @ A @ e_427 ) @ i0 @ ( select @ a_436 @ A ) ) ),
inference(rewrite,[status(thm)],[970,5123,5126]) ).
thf(10878,plain,
! [A: $i] :
( ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_427 )
= ( store @ a_428 @ i0 @ ( select @ a_436 @ A ) ) )
| ( ( store @ a_436 @ i2 @ e_427 )
!= ( store @ a_436 @ A @ e_427 ) ) ),
inference(paramod_ordered,[status(thm)],[5128,10635]) ).
thf(10879,plain,
( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ i2 ) ) @ i2 @ e_427 )
= ( store @ a_428 @ i0 @ ( select @ a_436 @ i2 ) ) ),
inference(pattern_uni,[status(thm)],[10878:[bind(A,$thf( i2 ))]]) ).
thf(1278,plain,
( ( select @ a_436 @ i2 )
= e_435 ),
inference(rewrite,[status(thm)],[50,1276]) ).
thf(3950,plain,
( ( select @ a_436 @ i2 )
= e_425 ),
inference(rewrite,[status(thm)],[1278,3825]) ).
thf(11401,plain,
( ( store @ ( store @ a_436 @ i0 @ e_425 ) @ i2 @ e_427 )
= ( store @ a_428 @ i0 @ e_425 ) ),
inference(rewrite,[status(thm)],[10879,3950]) ).
thf(11403,plain,
( ( ( store @ a_428 @ i0 @ e_425 )
= ( store @ a_438 @ i2 @ e_427 ) )
| ( ( store @ a_436 @ i0 @ e_425 )
!= ( store @ a_436 @ i0 @ e_425 ) ) ),
inference(paramod_ordered,[status(thm)],[3952,11401]) ).
thf(11404,plain,
( ( store @ a_428 @ i0 @ e_425 )
= ( store @ a_438 @ i2 @ e_427 ) ),
inference(pattern_uni,[status(thm)],[11403:[]]) ).
thf(28,axiom,
( a_440
= ( store @ a_438 @ i2 @ e_439 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
thf(86,plain,
( a_440
= ( store @ a_438 @ i2 @ e_439 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(87,plain,
( ( store @ a_438 @ i2 @ e_439 )
= a_440 ),
inference(lifteq,[status(thm)],[86]) ).
thf(5156,plain,
( ( store @ a_438 @ i2 @ e_427 )
= a_440 ),
inference(rewrite,[status(thm)],[87,5126]) ).
thf(29,axiom,
( a_430
= ( store @ a_428 @ i0 @ e_429 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
thf(88,plain,
( a_430
= ( store @ a_428 @ i0 @ e_429 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(89,plain,
( ( store @ a_428 @ i0 @ e_429 )
= a_430 ),
inference(lifteq,[status(thm)],[88]) ).
thf(1192,plain,
! [C: $i,B: $i,A: $i] :
( ( ( select @ a_426 @ B )
= C )
| ( ( store @ a_424 @ i2 @ e_425 )
!= ( store @ A @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[60,80]) ).
thf(1193,plain,
( ( select @ a_426 @ i2 )
= e_425 ),
inference(pattern_uni,[status(thm)],[1192:[bind(A,$thf( a_424 )),bind(B,$thf( i2 )),bind(C,$thf( e_425 ))]]) ).
thf(27,axiom,
( e_429
= ( select @ a_426 @ i2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
thf(84,plain,
( e_429
= ( select @ a_426 @ i2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(85,plain,
( ( select @ a_426 @ i2 )
= e_429 ),
inference(lifteq,[status(thm)],[84]) ).
thf(1861,plain,
e_429 = e_425,
inference(rewrite,[status(thm)],[1193,85]) ).
thf(1862,plain,
( ( store @ a_428 @ i0 @ e_425 )
= a_430 ),
inference(rewrite,[status(thm)],[89,1861]) ).
thf(11872,plain,
a_440 = a_430,
inference(rewrite,[status(thm)],[11404,5156,1862]) ).
thf(1,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(30,plain,
a_430 != a_440,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(31,plain,
a_430 != a_440,
inference(polarity_switch,[status(thm)],[30]) ).
thf(32,plain,
a_440 != a_430,
inference(lifteq,[status(thm)],[31]) ).
thf(11873,plain,
$false,
inference(simplifyReflect,[status(thm)],[11872,32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV543-1.004 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n024.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sun May 19 06:56:24 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.96 % [INFO] Parsing done (112ms).
% 1.26/0.97 % [INFO] Running in sequential loop mode.
% 1.61/1.18 % [INFO] nitpick registered as external prover.
% 1.69/1.19 % [INFO] Scanning for conjecture ...
% 1.85/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ...
% 1.85/1.29 % [INFO] Axiom selection finished. Selected 28 axioms (removed 0 axioms).
% 2.06/1.31 % [INFO] Problem is propositional (TPTP CNF).
% 2.06/1.31 % [INFO] Type checking passed.
% 2.06/1.32 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 56.94/8.87 % [INFO] Killing All external provers ...
% 56.94/8.88 % Time passed: 8356ms (effective reasoning time: 7900ms)
% 56.94/8.88 % Axioms used in derivation (24): hyp2, hyp7, hyp15, hyp16, hyp20, hyp3, hyp23, hyp4, hyp17, hyp11, hyp9, hyp6, hyp18, hyp8, hyp21, hyp10, hyp19, hyp24, hyp13, hyp12, hyp5, a3, hyp22, a1
% 56.94/8.88 % No. of inferences in proof: 134
% 56.94/8.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8356 ms resp. 7900 ms w/o parsing
% 57.04/8.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 57.04/8.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------