%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV540-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:58:06 AM UTC 2026
% Result : Unsatisfiable 33.82s 7.24s
% Output : CNFRefutation 33.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 123 ( 119 unt; 0 typ; 0 def)
% Number of atoms : 324 ( 224 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 497 ( 6 ~; 17 |; 0 &; 474 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 32 con; 0-3 aty)
% Number of variables : 133 ( 0 ^; 133 !; 0 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a_417,type,
a_417: $i ).
thf(tp_a_418,type,
a_418: $i ).
thf(tp_a_420,type,
a_420: $i ).
thf(tp_a_422,type,
a_422: $i ).
thf(tp_a_424,type,
a_424: $i ).
thf(tp_a_426,type,
a_426: $i ).
thf(tp_a_428,type,
a_428: $i ).
thf(tp_a_430,type,
a_430: $i ).
thf(tp_a_431,type,
a_431: $i ).
thf(tp_a_432,type,
a_432: $i ).
thf(tp_a_434,type,
a_434: $i ).
thf(tp_a_436,type,
a_436: $i ).
thf(tp_a_438,type,
a_438: $i ).
thf(tp_a_440,type,
a_440: $i ).
thf(tp_e_416,type,
e_416: $i ).
thf(tp_e_419,type,
e_419: $i ).
thf(tp_e_421,type,
e_421: $i ).
thf(tp_e_423,type,
e_423: $i ).
thf(tp_e_425,type,
e_425: $i ).
thf(tp_e_427,type,
e_427: $i ).
thf(tp_e_429,type,
e_429: $i ).
thf(tp_e_433,type,
e_433: $i ).
thf(tp_e_435,type,
e_435: $i ).
thf(tp_e_437,type,
e_437: $i ).
thf(tp_e_439,type,
e_439: $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_select,type,
select: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
thf(2,axiom,
! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
thf(3,axiom,
! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
thf(4,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(5,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
thf(6,axiom,
( e_439
= ( select @ a_436 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(7,axiom,
( e_437
= ( select @ a_436 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(8,axiom,
( e_435
= ( select @ a_432 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(9,axiom,
( e_433
= ( select @ a_432 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(10,axiom,
( e_429
= ( select @ a_426 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(11,axiom,
( e_427
= ( select @ a_426 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(12,axiom,
( e_425
= ( select @ a_422 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(13,axiom,
( e_423
= ( select @ a_422 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(14,axiom,
( e_421
= ( select @ a_418 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(15,axiom,
( e_419
= ( select @ a_418 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(16,axiom,
( e_416
= ( select @ a1 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(17,axiom,
( a_440
= ( store @ a_438 @ i2 @ e_439 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(18,axiom,
( a_438
= ( store @ a_436 @ i0 @ e_437 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(19,axiom,
( a_436
= ( store @ a_434 @ i2 @ e_435 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(20,axiom,
( a_434
= ( store @ a_432 @ i3 @ e_433 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(21,axiom,
( a_432
= ( store @ a_431 @ i0 @ e_419 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(22,axiom,
( a_431
= ( store @ a_418 @ i3 @ e_421 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(23,axiom,
( a_430
= ( store @ a_428 @ i0 @ e_429 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(24,axiom,
( a_428
= ( store @ a_426 @ i2 @ e_427 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(25,axiom,
( a_426
= ( store @ a_424 @ i2 @ e_425 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(26,axiom,
( a_424
= ( store @ a_422 @ i3 @ e_423 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(27,axiom,
( a_422
= ( store @ a_420 @ i3 @ e_421 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(28,axiom,
( a_420
= ( store @ a_418 @ i0 @ e_419 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(29,axiom,
( a_418
= ( store @ a_417 @ i1 @ e_416 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(30,axiom,
( a_417
= ( store @ a1 @ i1 @ e_416 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(31,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(32,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[31]) ).
thf(33,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(34,plain,
$false = $false,
inference(unfold_def,[status(thm)],[32]) ).
thf(35,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(36,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(37,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(38,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)],[4]) ).
thf(39,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(40,plain,
( ( e_439
= ( select @ a_436 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(41,plain,
( ( e_437
= ( select @ a_436 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(42,plain,
( ( e_435
= ( select @ a_432 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(43,plain,
( ( e_433
= ( select @ a_432 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(44,plain,
( ( e_429
= ( select @ a_426 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(45,plain,
( ( e_427
= ( select @ a_426 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(46,plain,
( ( e_425
= ( select @ a_422 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(47,plain,
( ( e_423
= ( select @ a_422 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(48,plain,
( ( e_421
= ( select @ a_418 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( e_419
= ( select @ a_418 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,plain,
( ( e_416
= ( select @ a1 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(51,plain,
( ( a_440
= ( store @ a_438 @ i2 @ e_439 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(52,plain,
( ( a_438
= ( store @ a_436 @ i0 @ e_437 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(53,plain,
( ( a_436
= ( store @ a_434 @ i2 @ e_435 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(54,plain,
( ( a_434
= ( store @ a_432 @ i3 @ e_433 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(55,plain,
( ( a_432
= ( store @ a_431 @ i0 @ e_419 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(56,plain,
( ( a_431
= ( store @ a_418 @ i3 @ e_421 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(57,plain,
( ( a_430
= ( store @ a_428 @ i0 @ e_429 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(58,plain,
( ( a_428
= ( store @ a_426 @ i2 @ e_427 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(59,plain,
( ( a_426
= ( store @ a_424 @ i2 @ e_425 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(60,plain,
( ( a_424
= ( store @ a_422 @ i3 @ e_423 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(61,plain,
( ( a_422
= ( store @ a_420 @ i3 @ e_421 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(62,plain,
( ( a_420
= ( store @ a_418 @ i0 @ e_419 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(63,plain,
( ( a_418
= ( store @ a_417 @ i1 @ e_416 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(64,plain,
( ( a_417
= ( store @ a1 @ i1 @ e_416 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(65,plain,
( ( a_430 != a_440 )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(66,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(67,plain,
( ( a_430 != a_440 )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(68,plain,
( ( a_417
= ( store @ a1 @ i1 @ e_416 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(69,plain,
( ( a_418
= ( store @ a_417 @ i1 @ e_416 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(70,plain,
( ( a_420
= ( store @ a_418 @ i0 @ e_419 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(71,plain,
( ( a_422
= ( store @ a_420 @ i3 @ e_421 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(72,plain,
( ( a_424
= ( store @ a_422 @ i3 @ e_423 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(73,plain,
( ( a_426
= ( store @ a_424 @ i2 @ e_425 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(74,plain,
( ( a_428
= ( store @ a_426 @ i2 @ e_427 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(75,plain,
( ( a_430
= ( store @ a_428 @ i0 @ e_429 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(76,plain,
( ( a_431
= ( store @ a_418 @ i3 @ e_421 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(77,plain,
( ( a_432
= ( store @ a_431 @ i0 @ e_419 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(78,plain,
( ( a_434
= ( store @ a_432 @ i3 @ e_433 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(79,plain,
( ( a_436
= ( store @ a_434 @ i2 @ e_435 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(80,plain,
( ( a_438
= ( store @ a_436 @ i0 @ e_437 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(81,plain,
( ( a_440
= ( store @ a_438 @ i2 @ e_439 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(82,plain,
( ( e_416
= ( select @ a1 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(83,plain,
( ( e_419
= ( select @ a_418 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(84,plain,
( ( e_421
= ( select @ a_418 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(85,plain,
( ( e_423
= ( select @ a_422 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(86,plain,
( ( e_425
= ( select @ a_422 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(87,plain,
( ( e_427
= ( select @ a_426 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(88,plain,
( ( e_429
= ( select @ a_426 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(89,plain,
( ( e_433
= ( select @ a_432 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(90,plain,
( ( e_435
= ( select @ a_432 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(91,plain,
( ( e_437
= ( select @ a_436 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(92,plain,
( ( e_439
= ( select @ a_436 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(93,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(94,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(95,plain,
( ( ! [A: $i,I: $i] :
( ( store @ A @ I @ ( select @ A @ I ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(96,plain,
( ( ! [A: $i,I: $i,E: $i,F: $i] :
( ( store @ ( store @ A @ I @ E ) @ I @ F )
= ( store @ A @ I @ F ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(97,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i,F: $i] :
( ( I = J )
| ( ( store @ ( store @ A @ I @ E ) @ J @ F )
= ( store @ ( store @ A @ J @ F ) @ I @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(98,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[66]) ).
thf(99,plain,
( ( a_430 != a_440 )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(100,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ( select @ ( store @ SV1 @ SY18 @ SY19 ) @ SY18 )
= SY19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV2: $i] :
( ( ! [SY20: $i,SY21: $i,SY22: $i] :
( ( SV2 = SY20 )
| ( ( select @ ( store @ SY21 @ SV2 @ SY22 ) @ SY20 )
= ( select @ SY21 @ SY20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV3: $i] :
( ( ! [SY23: $i] :
( ( store @ SV3 @ SY23 @ ( select @ SV3 @ SY23 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( store @ ( store @ SV4 @ SY24 @ SY25 ) @ SY24 @ SY26 )
= ( store @ SV4 @ SY24 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(104,plain,
! [SV5: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i,SY30: $i] :
( ( SV5 = SY27 )
| ( ( store @ ( store @ SY28 @ SV5 @ SY29 ) @ SY27 @ SY30 )
= ( store @ ( store @ SY28 @ SY27 @ SY30 ) @ SV5 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(105,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(106,plain,
( ( a_430 = a_440 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(107,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY31: $i] :
( ( select @ ( store @ SV1 @ SV6 @ SY31 ) @ SV6 )
= SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(108,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SV2 = SV7 )
| ( ( select @ ( store @ SY32 @ SV2 @ SY33 ) @ SV7 )
= ( select @ SY32 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(109,plain,
! [SV8: $i,SV3: $i] :
( ( ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV8 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(110,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SY34 ) @ SV9 @ SY35 )
= ( store @ SV4 @ SV9 @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SY36 @ SV5 @ SY37 ) @ SV10 @ SY38 )
= ( store @ ( store @ SY36 @ SV10 @ SY38 ) @ SV5 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV11: $i,SV6: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV6 @ SV11 ) @ SV6 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(113,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY39: $i] :
( ( SV2 = SV7 )
| ( ( select @ ( store @ SV12 @ SV2 @ SY39 ) @ SV7 )
= ( select @ SV12 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV13: $i,SV9: $i,SV4: $i] :
( ( ! [SY40: $i] :
( ( store @ ( store @ SV4 @ SV9 @ SV13 ) @ SV9 @ SY40 )
= ( store @ SV4 @ SV9 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV14: $i,SV10: $i,SV5: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SY41 ) @ SV10 @ SY42 )
= ( store @ ( store @ SV14 @ SV10 @ SY42 ) @ SV5 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV15: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
| ( ( select @ ( store @ SV12 @ SV2 @ SV15 ) @ SV7 )
= ( select @ SV12 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV16: $i,SV13: $i,SV9: $i,SV4: $i] :
( ( ( store @ ( store @ SV4 @ SV9 @ SV13 ) @ SV9 @ SV16 )
= ( store @ SV4 @ SV9 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ! [SY43: $i] :
( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SY43 )
= ( store @ ( store @ SV14 @ SV10 @ SY43 ) @ SV5 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV15: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $true )
| ( ( ( select @ ( store @ SV12 @ SV2 @ SV15 ) @ SV7 )
= ( select @ SV12 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
| ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SV18 )
= ( store @ ( store @ SV14 @ SV10 @ SV18 ) @ SV5 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV10: $i,SV5: $i] :
( ( ( SV5 = SV10 )
= $true )
| ( ( ( store @ ( store @ SV14 @ SV5 @ SV17 ) @ SV10 @ SV18 )
= ( store @ ( store @ SV14 @ SV10 @ SV18 ) @ SV5 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[68,121,119,117,112,109,106,105,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69]) ).
thf(123,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV540-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.18 % Computer : n015.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Oct 6 16:40:07 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.82/7.24
% 33.82/7.24 No.of.Axioms: 31
% 33.82/7.24
% 33.82/7.24 Length.of.Defs: 0
% 33.82/7.24
% 33.82/7.24 Contains.Choice.Funs: false
% 33.82/7.24 ..
% 33.82/7.24
% 33.82/7.24 ********************************
% 33.82/7.24 * All subproblems solved! *
% 33.82/7.24 ********************************
% 33.82/7.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:1,translation:fof_full)
% 33.82/7.24
% 33.82/7.24 %**** Beginning of derivation protocol ****
% 33.82/7.24 % SZS output start CNFRefutation
% See solution above
% 33.82/7.24
% 33.82/7.24 %**** End of derivation protocol ****
% 33.82/7.24 %**** no. of clauses in derivation: 123 ****
% 33.82/7.24 %**** clause counter: 122 ****
% 33.82/7.24
% 33.82/7.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:31,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------