TSTP Solution File: TOP050-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.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 : Thu Jul 21 21:31:50 EDT 2022
% Result : Unsatisfiable 1.61s 1.79s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 70
% Syntax : Number of formulae : 155 ( 121 unt; 34 typ; 0 def)
% Number of atoms : 289 ( 197 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 590 ( 6 ~; 0 |; 0 &; 584 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 34 con; 0-31 aty)
% Number of variables : 32 ( 0 ^ 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a10,type,
a10: $i ).
thf(tp_a11,type,
a11: $i ).
thf(tp_a12,type,
a12: $i ).
thf(tp_a13,type,
a13: $i ).
thf(tp_a14,type,
a14: $i ).
thf(tp_a15,type,
a15: $i ).
thf(tp_a16,type,
a16: $i ).
thf(tp_a17,type,
a17: $i ).
thf(tp_a18,type,
a18: $i ).
thf(tp_a19,type,
a19: $i ).
thf(tp_a2,type,
a2: $i ).
thf(tp_a20,type,
a20: $i ).
thf(tp_a21,type,
a21: $i ).
thf(tp_a22,type,
a22: $i ).
thf(tp_a23,type,
a23: $i ).
thf(tp_a24,type,
a24: $i ).
thf(tp_a25,type,
a25: $i ).
thf(tp_a26,type,
a26: $i ).
thf(tp_a27,type,
a27: $i ).
thf(tp_a28,type,
a28: $i ).
thf(tp_a29,type,
a29: $i ).
thf(tp_a3,type,
a3: $i ).
thf(tp_a30,type,
a30: $i ).
thf(tp_a31,type,
a31: $i ).
thf(tp_a32,type,
a32: $i ).
thf(tp_a4,type,
a4: $i ).
thf(tp_a5,type,
a5: $i ).
thf(tp_a6,type,
a6: $i ).
thf(tp_a7,type,
a7: $i ).
thf(tp_a8,type,
a8: $i ).
thf(tp_a9,type,
a9: $i ).
thf(tp_product,type,
product: $i > $i > $i ).
thf(tp_tuple,type,
tuple: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(1,axiom,
( ( product @ a32 @ a21 )
= a1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_32) ).
thf(2,axiom,
( ( product @ a31 @ a3 )
= a32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_31) ).
thf(3,axiom,
( ( product @ a30 @ a23 )
= a31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_30) ).
thf(4,axiom,
( ( product @ a29 @ a1 )
= a30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_29) ).
thf(5,axiom,
( ( product @ a28 @ a3 )
= a29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_28) ).
thf(6,axiom,
( ( product @ a27 @ a21 )
= a28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_27) ).
thf(7,axiom,
( ( product @ a26 @ a1 )
= a27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_26) ).
thf(8,axiom,
( ( product @ a25 @ a23 )
= a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_25) ).
thf(9,axiom,
( ( product @ a24 @ a3 )
= a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_24) ).
thf(10,axiom,
( ( product @ a23 @ a21 )
= a24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_23) ).
thf(11,axiom,
( ( product @ a22 @ a31 )
= a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_22) ).
thf(12,axiom,
( ( product @ a21 @ a25 )
= a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_21) ).
thf(13,axiom,
( ( product @ a20 @ a29 )
= a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_20) ).
thf(14,axiom,
( ( product @ a19 @ a11 )
= a20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_19) ).
thf(15,axiom,
( ( product @ a18 @ a15 )
= a19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_18) ).
thf(16,axiom,
( ( product @ a17 @ a9 )
= a18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_17) ).
thf(17,axiom,
( ( product @ a16 @ a19 )
= a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
thf(18,axiom,
( ( product @ a15 @ a5 )
= a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
thf(19,axiom,
( ( product @ a14 @ a17 )
= a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
thf(20,axiom,
( ( product @ a13 @ a7 )
= a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
thf(21,axiom,
( ( product @ a12 @ a19 )
= a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
thf(22,axiom,
( ( product @ a11 @ a5 )
= a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
thf(23,axiom,
( ( product @ a10 @ a7 )
= a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
thf(24,axiom,
( ( product @ a9 @ a17 )
= a10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
thf(25,axiom,
( ( product @ a8 @ a5 )
= a9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
thf(26,axiom,
( ( product @ a7 @ a19 )
= a8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
thf(27,axiom,
( ( product @ a5 @ a15 )
= a6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
thf(28,axiom,
( ( product @ a4 @ a11 )
= a5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
thf(29,axiom,
( ( product @ a3 @ a29 )
= a4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
thf(30,axiom,
( ( product @ a2 @ a25 )
= a3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
thf(31,axiom,
( ( product @ a1 @ a31 )
= a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
thf(32,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( product @ ( product @ X @ Y ) @ Z )
= ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
thf(33,axiom,
! [X: $i,Y: $i] :
( ( product @ ( product @ X @ Y ) @ Y )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
thf(34,axiom,
! [X: $i] :
( ( product @ X @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
thf(35,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(36,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[35]) ).
thf(37,negated_conjecture,
( tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 )
!= ( tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(38,plain,
$false = $false,
inference(unfold_def,[status(thm)],[36]) ).
thf(39,plain,
( ( ( product @ a32 @ a21 )
= a1 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(40,plain,
( ( ( product @ a31 @ a3 )
= a32 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(41,plain,
( ( ( product @ a30 @ a23 )
= a31 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(42,plain,
( ( ( product @ a29 @ a1 )
= a30 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(43,plain,
( ( ( product @ a28 @ a3 )
= a29 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(44,plain,
( ( ( product @ a27 @ a21 )
= a28 )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(45,plain,
( ( ( product @ a26 @ a1 )
= a27 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(46,plain,
( ( ( product @ a25 @ a23 )
= a26 )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(47,plain,
( ( ( product @ a24 @ a3 )
= a25 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(48,plain,
( ( ( product @ a23 @ a21 )
= a24 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(49,plain,
( ( ( product @ a22 @ a31 )
= a23 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(50,plain,
( ( ( product @ a21 @ a25 )
= a22 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(51,plain,
( ( ( product @ a20 @ a29 )
= a21 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(52,plain,
( ( ( product @ a19 @ a11 )
= a20 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(53,plain,
( ( ( product @ a18 @ a15 )
= a19 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(54,plain,
( ( ( product @ a17 @ a9 )
= a18 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(55,plain,
( ( ( product @ a16 @ a19 )
= a17 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(56,plain,
( ( ( product @ a15 @ a5 )
= a16 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(57,plain,
( ( ( product @ a14 @ a17 )
= a15 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(58,plain,
( ( ( product @ a13 @ a7 )
= a14 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(59,plain,
( ( ( product @ a12 @ a19 )
= a13 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(60,plain,
( ( ( product @ a11 @ a5 )
= a12 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(61,plain,
( ( ( product @ a10 @ a7 )
= a11 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(62,plain,
( ( ( product @ a9 @ a17 )
= a10 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(63,plain,
( ( ( product @ a8 @ a5 )
= a9 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(64,plain,
( ( ( product @ a7 @ a19 )
= a8 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(65,plain,
( ( ( product @ a5 @ a15 )
= a6 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(66,plain,
( ( ( product @ a4 @ a11 )
= a5 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(67,plain,
( ( ( product @ a3 @ a29 )
= a4 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(68,plain,
( ( ( product @ a2 @ a25 )
= a3 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(69,plain,
( ( ( product @ a1 @ a31 )
= a2 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( product @ ( product @ X @ Y ) @ Z )
= ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i] :
( ( product @ ( product @ X @ Y ) @ Y )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(72,plain,
( ( ! [X: $i] :
( ( product @ X @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(73,plain,
( ( ( ( tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 )
!= ( tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(74,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(75,plain,
( ( ( ( tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 )
!= ( tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(76,plain,
( ( ( ( tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 )
!= ( tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(77,plain,
( ( ! [X: $i] :
( ( product @ X @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(78,plain,
( ( ! [X: $i,Y: $i] :
( ( product @ ( product @ X @ Y ) @ Y )
= X ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(79,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( product @ ( product @ X @ Y ) @ Z )
= ( product @ ( product @ X @ Z ) @ ( product @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(80,plain,
( ( ( product @ a1 @ a31 )
= a2 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(81,plain,
( ( ( product @ a2 @ a25 )
= a3 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(82,plain,
( ( ( product @ a3 @ a29 )
= a4 )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(83,plain,
( ( ( product @ a4 @ a11 )
= a5 )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(84,plain,
( ( ( product @ a5 @ a15 )
= a6 )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(85,plain,
( ( ( product @ a7 @ a19 )
= a8 )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(86,plain,
( ( ( product @ a8 @ a5 )
= a9 )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(87,plain,
( ( ( product @ a9 @ a17 )
= a10 )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(88,plain,
( ( ( product @ a10 @ a7 )
= a11 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(89,plain,
( ( ( product @ a11 @ a5 )
= a12 )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(90,plain,
( ( ( product @ a12 @ a19 )
= a13 )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(91,plain,
( ( ( product @ a13 @ a7 )
= a14 )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(92,plain,
( ( ( product @ a14 @ a17 )
= a15 )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(93,plain,
( ( ( product @ a15 @ a5 )
= a16 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(94,plain,
( ( ( product @ a16 @ a19 )
= a17 )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(95,plain,
( ( ( product @ a17 @ a9 )
= a18 )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(96,plain,
( ( ( product @ a18 @ a15 )
= a19 )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(97,plain,
( ( ( product @ a19 @ a11 )
= a20 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(98,plain,
( ( ( product @ a20 @ a29 )
= a21 )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(99,plain,
( ( ( product @ a21 @ a25 )
= a22 )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(100,plain,
( ( ( product @ a22 @ a31 )
= a23 )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(101,plain,
( ( ( product @ a23 @ a21 )
= a24 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(102,plain,
( ( ( product @ a24 @ a3 )
= a25 )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(103,plain,
( ( ( product @ a25 @ a23 )
= a26 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(104,plain,
( ( ( product @ a26 @ a1 )
= a27 )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(105,plain,
( ( ( product @ a27 @ a21 )
= a28 )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(106,plain,
( ( ( product @ a28 @ a3 )
= a29 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(107,plain,
( ( ( product @ a29 @ a1 )
= a30 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(108,plain,
( ( ( product @ a30 @ a23 )
= a31 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(109,plain,
( ( ( product @ a31 @ a3 )
= a32 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(110,plain,
( ( ( product @ a32 @ a21 )
= a1 )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(111,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(112,plain,
( ( ( tuple @ a1 @ a30 @ a31 @ a2 @ a24 @ a25 @ a3 @ a28 @ a29 @ a4 @ a10 @ a11 @ a5 @ a14 @ a15 @ a6 @ a7 @ a18 @ a19 @ a8 @ a9 @ a16 @ a17 @ a12 @ a13 @ a20 @ a21 @ a22 @ a23 @ a26 @ a27 )
= ( tuple @ a2 @ a31 @ a32 @ a3 @ a25 @ a26 @ a4 @ a29 @ a30 @ a5 @ a11 @ a12 @ a6 @ a15 @ a16 @ a7 @ a8 @ a19 @ a20 @ a9 @ a10 @ a17 @ a18 @ a13 @ a14 @ a21 @ a22 @ a23 @ a24 @ a27 @ a28 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(113,plain,
! [SV1: $i] :
( ( ( product @ SV1 @ SV1 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(114,plain,
! [SV2: $i] :
( ( ! [SY6: $i] :
( ( product @ ( product @ SV2 @ SY6 ) @ SY6 )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(115,plain,
! [SV3: $i] :
( ( ! [SY7: $i,SY8: $i] :
( ( product @ ( product @ SV3 @ SY7 ) @ SY8 )
= ( product @ ( product @ SV3 @ SY8 ) @ ( product @ SY7 @ SY8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(116,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(117,plain,
! [SV4: $i,SV2: $i] :
( ( ( product @ ( product @ SV2 @ SV4 ) @ SV4 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV5: $i,SV3: $i] :
( ( ! [SY9: $i] :
( ( product @ ( product @ SV3 @ SV5 ) @ SY9 )
= ( product @ ( product @ SV3 @ SY9 ) @ ( product @ SV5 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV6: $i,SV5: $i,SV3: $i] :
( ( ( product @ ( product @ SV3 @ SV5 ) @ SV6 )
= ( product @ ( product @ SV3 @ SV6 ) @ ( product @ SV5 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(120,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[80,119,117,116,113,112,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81]) ).
thf(121,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : TOP050-1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 03:44:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 35
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:35,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:37,loop_count:0,foatp_calls:0,translation:fof_full)...
% 1.61/1.79
% 1.61/1.79 ********************************
% 1.61/1.79 * All subproblems solved! *
% 1.61/1.79 ********************************
% 1.61/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:35,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:120,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.61/1.79
% 1.61/1.79 %**** Beginning of derivation protocol ****
% 1.61/1.79 % SZS output start CNFRefutation
% See solution above
% 1.61/1.79
% 1.61/1.79 %**** End of derivation protocol ****
% 1.61/1.79 %**** no. of clauses in derivation: 121 ****
% 1.61/1.79 %**** clause counter: 120 ****
% 1.61/1.79
% 1.61/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:35,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:120,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------