TSTP Solution File: SWV547-1.004 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV547-1.004 : 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 : n017.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 20:13:36 EDT 2022
% Result : Unsatisfiable 0.47s 0.66s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 69
% Syntax : Number of formulae : 154 ( 114 unt; 36 typ; 0 def)
% Number of atoms : 301 ( 206 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 438 ( 6 ~; 9 |; 0 &; 423 @)
% ( 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 : 39 ( 36 usr; 35 con; 0-3 aty)
% Number of variables : 72 ( 0 ^ 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a_466,type,
a_466: $i ).
thf(tp_a_467,type,
a_467: $i ).
thf(tp_a_469,type,
a_469: $i ).
thf(tp_a_471,type,
a_471: $i ).
thf(tp_a_473,type,
a_473: $i ).
thf(tp_a_475,type,
a_475: $i ).
thf(tp_a_477,type,
a_477: $i ).
thf(tp_a_479,type,
a_479: $i ).
thf(tp_a_480,type,
a_480: $i ).
thf(tp_a_481,type,
a_481: $i ).
thf(tp_a_483,type,
a_483: $i ).
thf(tp_a_485,type,
a_485: $i ).
thf(tp_a_487,type,
a_487: $i ).
thf(tp_a_489,type,
a_489: $i ).
thf(tp_e_465,type,
e_465: $i ).
thf(tp_e_468,type,
e_468: $i ).
thf(tp_e_470,type,
e_470: $i ).
thf(tp_e_472,type,
e_472: $i ).
thf(tp_e_474,type,
e_474: $i ).
thf(tp_e_476,type,
e_476: $i ).
thf(tp_e_478,type,
e_478: $i ).
thf(tp_e_482,type,
e_482: $i ).
thf(tp_e_484,type,
e_484: $i ).
thf(tp_e_486,type,
e_486: $i ).
thf(tp_e_488,type,
e_488: $i ).
thf(tp_e_491,type,
e_491: $i ).
thf(tp_e_492,type,
e_492: $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_i_490,type,
i_490: $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,
! [A: $i,I: $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/sandbox/benchmark/theBenchmark.p',a3) ).
thf(2,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
thf(3,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(4,axiom,
( i_490
= ( sk @ a_479 @ a_489 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(5,axiom,
( e_492
= ( select @ a_489 @ i_490 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(6,axiom,
( e_491
= ( select @ a_479 @ i_490 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(7,axiom,
( e_488
= ( select @ a_485 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(8,axiom,
( e_486
= ( select @ a_485 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(9,axiom,
( e_484
= ( select @ a_481 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(10,axiom,
( e_482
= ( select @ a_481 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(11,axiom,
( e_478
= ( select @ a_475 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(12,axiom,
( e_476
= ( select @ a_475 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(13,axiom,
( e_474
= ( select @ a_471 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(14,axiom,
( e_472
= ( select @ a_471 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(15,axiom,
( e_470
= ( select @ a_467 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(16,axiom,
( e_468
= ( select @ a_467 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(17,axiom,
( e_465
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(18,axiom,
( a_489
= ( store @ a_487 @ i2 @ e_488 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(19,axiom,
( a_487
= ( store @ a_485 @ i0 @ e_486 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(20,axiom,
( a_485
= ( store @ a_483 @ i2 @ e_484 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(21,axiom,
( a_483
= ( store @ a_481 @ i3 @ e_482 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(22,axiom,
( a_481
= ( store @ a_480 @ i0 @ e_468 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(23,axiom,
( a_480
= ( store @ a_467 @ i3 @ e_470 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(24,axiom,
( a_479
= ( store @ a_477 @ i0 @ e_478 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(25,axiom,
( a_477
= ( store @ a_475 @ i2 @ e_476 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(26,axiom,
( a_475
= ( store @ a_473 @ i2 @ e_474 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(27,axiom,
( a_473
= ( store @ a_471 @ i3 @ e_472 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(28,axiom,
( a_471
= ( store @ a_469 @ i3 @ e_470 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(29,axiom,
( a_469
= ( store @ a_467 @ i0 @ e_468 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(30,axiom,
( a_467
= ( store @ a_466 @ i1 @ e_465 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(31,axiom,
( a_466
= ( store @ a1 @ i1 @ e_465 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(32,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(33,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[32]) ).
thf(34,negated_conjecture,
e_491 != e_492,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(35,plain,
$false = $false,
inference(unfold_def,[status(thm)],[33]) ).
thf(36,plain,
( ( ! [A: $i,I: $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 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(37,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)],[2]) ).
thf(38,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(39,plain,
( ( i_490
= ( sk @ a_479 @ a_489 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(40,plain,
( ( e_492
= ( select @ a_489 @ i_490 ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(41,plain,
( ( e_491
= ( select @ a_479 @ i_490 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(42,plain,
( ( e_488
= ( select @ a_485 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(43,plain,
( ( e_486
= ( select @ a_485 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(44,plain,
( ( e_484
= ( select @ a_481 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(45,plain,
( ( e_482
= ( select @ a_481 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(46,plain,
( ( e_478
= ( select @ a_475 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(47,plain,
( ( e_476
= ( select @ a_475 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(48,plain,
( ( e_474
= ( select @ a_471 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(49,plain,
( ( e_472
= ( select @ a_471 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(50,plain,
( ( e_470
= ( select @ a_467 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(51,plain,
( ( e_468
= ( select @ a_467 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(52,plain,
( ( e_465
= ( select @ a1 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(53,plain,
( ( a_489
= ( store @ a_487 @ i2 @ e_488 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(54,plain,
( ( a_487
= ( store @ a_485 @ i0 @ e_486 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(55,plain,
( ( a_485
= ( store @ a_483 @ i2 @ e_484 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(56,plain,
( ( a_483
= ( store @ a_481 @ i3 @ e_482 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(57,plain,
( ( a_481
= ( store @ a_480 @ i0 @ e_468 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(58,plain,
( ( a_480
= ( store @ a_467 @ i3 @ e_470 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(59,plain,
( ( a_479
= ( store @ a_477 @ i0 @ e_478 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(60,plain,
( ( a_477
= ( store @ a_475 @ i2 @ e_476 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(61,plain,
( ( a_475
= ( store @ a_473 @ i2 @ e_474 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(62,plain,
( ( a_473
= ( store @ a_471 @ i3 @ e_472 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(63,plain,
( ( a_471
= ( store @ a_469 @ i3 @ e_470 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(64,plain,
( ( a_469
= ( store @ a_467 @ i0 @ e_468 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(65,plain,
( ( a_467
= ( store @ a_466 @ i1 @ e_465 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(66,plain,
( ( a_466
= ( store @ a1 @ i1 @ e_465 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(67,plain,
( ( ( e_491 != e_492 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(68,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[35]) ).
thf(69,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)],[37]) ).
thf(70,plain,
( ( ( e_491 != e_492 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(71,plain,
( ( ( e_491 != e_492 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(72,plain,
( ( a_466
= ( store @ a1 @ i1 @ e_465 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(73,plain,
( ( a_467
= ( store @ a_466 @ i1 @ e_465 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(74,plain,
( ( a_469
= ( store @ a_467 @ i0 @ e_468 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(75,plain,
( ( a_471
= ( store @ a_469 @ i3 @ e_470 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(76,plain,
( ( a_473
= ( store @ a_471 @ i3 @ e_472 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(77,plain,
( ( a_475
= ( store @ a_473 @ i2 @ e_474 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(78,plain,
( ( a_477
= ( store @ a_475 @ i2 @ e_476 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(79,plain,
( ( a_479
= ( store @ a_477 @ i0 @ e_478 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(80,plain,
( ( a_480
= ( store @ a_467 @ i3 @ e_470 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(81,plain,
( ( a_481
= ( store @ a_480 @ i0 @ e_468 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(82,plain,
( ( a_483
= ( store @ a_481 @ i3 @ e_482 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(83,plain,
( ( a_485
= ( store @ a_483 @ i2 @ e_484 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(84,plain,
( ( a_487
= ( store @ a_485 @ i0 @ e_486 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(85,plain,
( ( a_489
= ( store @ a_487 @ i2 @ e_488 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(86,plain,
( ( e_465
= ( select @ a1 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(87,plain,
( ( e_468
= ( select @ a_467 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(88,plain,
( ( e_470
= ( select @ a_467 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(89,plain,
( ( e_472
= ( select @ a_471 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(90,plain,
( ( e_474
= ( select @ a_471 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(91,plain,
( ( e_476
= ( select @ a_475 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(92,plain,
( ( e_478
= ( select @ a_475 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(93,plain,
( ( e_482
= ( select @ a_481 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(94,plain,
( ( e_484
= ( select @ a_481 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(95,plain,
( ( e_486
= ( select @ a_485 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(96,plain,
( ( e_488
= ( select @ a_485 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(97,plain,
( ( e_491
= ( select @ a_479 @ i_490 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(98,plain,
( ( e_492
= ( select @ a_489 @ i_490 ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(99,plain,
( ( i_490
= ( sk @ a_479 @ a_489 ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(100,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(101,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)],[69]) ).
thf(102,plain,
( ( ! [A: $i,I: $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 ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(103,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(104,plain,
( ( e_491 = e_492 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(105,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ( select @ ( store @ SV1 @ SY10 @ SY11 ) @ SY10 )
= SY11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV2: $i] :
( ( ! [SY12: $i] :
( ( SV2 = SY12 )
| ! [SY13: $i,SY14: $i] :
( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SY12 )
= ( select @ SY13 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(107,plain,
! [SV3: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ( store @ ( store @ SV3 @ SY15 @ ( select @ SV3 @ SY16 ) ) @ SY16 @ ( select @ SV3 @ SY15 ) )
= ( store @ ( store @ SV3 @ SY16 @ ( select @ SV3 @ SY15 ) ) @ SY15 @ ( select @ SV3 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(108,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(109,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY17: $i] :
( ( select @ ( store @ SV1 @ SV4 @ SY17 ) @ SV4 )
= SY17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
| ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
= ( select @ SY18 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY20: $i] :
( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SY20 ) ) @ SY20 @ ( select @ SV3 @ SV6 ) )
= ( store @ ( store @ SV3 @ SY20 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV4 @ SV7 ) @ SV4 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $true )
| ( ( ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
= ( select @ SY18 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV8: $i,SV6: $i,SV3: $i] :
( ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SV8 ) ) @ SV8 @ ( select @ SV3 @ SV6 ) )
= ( store @ ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV5: $i,SV2: $i,SV9: $i] :
( ( ( ! [SY21: $i] :
( ( select @ ( store @ SV9 @ SV2 @ SY21 ) @ SV5 )
= ( select @ SV9 @ SV5 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(116,plain,
! [SV5: $i,SV10: $i,SV2: $i,SV9: $i] :
( ( ( ( select @ ( store @ SV9 @ SV2 @ SV10 ) @ SV5 )
= ( select @ SV9 @ SV5 ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(117,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[72,116,114,112,108,104,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73]) ).
thf(118,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV547-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 16:14:24 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 32
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.38 (rf:0,axioms:32,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:34,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.47/0.66
% 0.47/0.66 ********************************
% 0.47/0.66 * All subproblems solved! *
% 0.47/0.66 ********************************
% 0.47/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:32,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:117,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.66
% 0.47/0.66 %**** Beginning of derivation protocol ****
% 0.47/0.66 % SZS output start CNFRefutation
% See solution above
% 0.47/0.66
% 0.47/0.66 %**** End of derivation protocol ****
% 0.47/0.66 %**** no. of clauses in derivation: 118 ****
% 0.47/0.66 %**** clause counter: 117 ****
% 0.47/0.66
% 0.47/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:32,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:117,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------