TSTP Solution File: GRP127-2.006 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 : Fri May 19 11:13:15 EDT 2023
% Result : Unsatisfiable 10.01s 2.66s
% Output : Refutation 10.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 74
% Syntax : Number of formulae : 138 ( 115 unt; 11 typ; 0 def)
% Number of atoms : 161 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 458 ( 86 ~; 34 |; 0 &; 338 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(next_type,type,
next: $i > $i > $o ).
thf(e_2_type,type,
e_2: $i ).
thf(e_3_type,type,
e_3: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(e_6_type,type,
e_6: $i ).
thf(e_1_type,type,
e_1: $i ).
thf(e_4_type,type,
e_4: $i ).
thf(group_element_type,type,
group_element: $i > $o ).
thf(equalish_type,type,
equalish: $i > $i > $o ).
thf(e_5_type,type,
e_5: $i ).
thf(52,axiom,
~ ( equalish @ e_1 @ e_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_6) ).
thf(142,plain,
~ ( equalish @ e_1 @ e_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(35,axiom,
~ ( equalish @ e_6 @ e_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_5) ).
thf(117,plain,
~ ( equalish @ e_6 @ e_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(6,axiom,
~ ( equalish @ e_3 @ e_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
thf(70,plain,
~ ( equalish @ e_3 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(38,axiom,
~ ( equalish @ e_3 @ e_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
thf(123,plain,
~ ( equalish @ e_3 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(21,axiom,
group_element @ e_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
thf(95,plain,
group_element @ e_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(5,axiom,
group_element @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
thf(69,plain,
group_element @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(49,axiom,
greater @ e_6 @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_2) ).
thf(138,plain,
greater @ e_6 @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(25,axiom,
~ ( equalish @ e_3 @ e_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
thf(101,plain,
~ ( equalish @ e_3 @ e_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(17,axiom,
~ ( equalish @ e_1 @ e_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
thf(88,plain,
~ ( equalish @ e_1 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(39,axiom,
greater @ e_5 @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_1) ).
thf(125,plain,
greater @ e_5 @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(61,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( equalish @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
thf(157,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( equalish @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(20,axiom,
~ ( equalish @ e_6 @ e_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_4) ).
thf(93,plain,
~ ( equalish @ e_6 @ e_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(58,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ C )
| ( equalish @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
thf(152,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ C )
| ( equalish @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(11,axiom,
~ ( equalish @ e_1 @ e_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
thf(78,plain,
~ ( equalish @ e_1 @ e_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(28,axiom,
~ ( equalish @ e_5 @ e_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
thf(106,plain,
~ ( equalish @ e_5 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(37,axiom,
~ ( equalish @ e_5 @ e_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
thf(121,plain,
~ ( equalish @ e_5 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(14,axiom,
~ ( equalish @ e_5 @ e_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
thf(84,plain,
~ ( equalish @ e_5 @ e_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(55,axiom,
~ ( equalish @ e_4 @ e_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_6) ).
thf(147,plain,
~ ( equalish @ e_4 @ e_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(45,axiom,
greater @ e_4 @ e_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
thf(133,plain,
greater @ e_4 @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(34,axiom,
greater @ e_5 @ e_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_4) ).
thf(116,plain,
greater @ e_5 @ e_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(19,axiom,
next @ e_5 @ e_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_then_e_6) ).
thf(92,plain,
next @ e_5 @ e_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(23,axiom,
~ ( equalish @ e_5 @ e_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
thf(97,plain,
~ ( equalish @ e_5 @ e_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(60,axiom,
! [A: $i] : ( product @ A @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
thf(156,plain,
! [A: $i] : ( product @ A @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(51,axiom,
greater @ e_5 @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_2) ).
thf(141,plain,
greater @ e_5 @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(30,axiom,
~ ( equalish @ e_6 @ e_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_2) ).
thf(109,plain,
~ ( equalish @ e_6 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(22,axiom,
greater @ e_3 @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
thf(96,plain,
greater @ e_3 @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(46,axiom,
greater @ e_6 @ e_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_3) ).
thf(134,plain,
greater @ e_6 @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(8,axiom,
~ ( equalish @ e_1 @ e_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
thf(73,plain,
~ ( equalish @ e_1 @ e_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(42,axiom,
~ ( equalish @ e_3 @ e_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
thf(128,plain,
~ ( equalish @ e_3 @ e_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(63,axiom,
! [B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product @ A @ B @ e_1 )
| ( product @ A @ B @ e_2 )
| ( product @ A @ B @ e_3 )
| ( product @ A @ B @ e_4 )
| ( product @ A @ B @ e_5 )
| ( product @ A @ B @ e_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
thf(161,plain,
! [B: $i,A: $i] :
( ~ ( group_element @ A )
| ~ ( group_element @ B )
| ( product @ A @ B @ e_1 )
| ( product @ A @ B @ e_2 )
| ( product @ A @ B @ e_3 )
| ( product @ A @ B @ e_4 )
| ( product @ A @ B @ e_5 )
| ( product @ A @ B @ e_6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(1,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ C @ A @ D )
| ( product @ D @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ C @ A @ D )
| ( product @ D @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(56,axiom,
~ ( equalish @ e_2 @ e_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_6) ).
thf(149,plain,
~ ( equalish @ e_2 @ e_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(53,axiom,
~ ( equalish @ e_2 @ e_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
thf(144,plain,
~ ( equalish @ e_2 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(15,axiom,
next @ e_4 @ e_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_then_e_5) ).
thf(86,plain,
next @ e_4 @ e_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(62,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( equalish @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
thf(159,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( equalish @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(32,axiom,
greater @ e_3 @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_1) ).
thf(113,plain,
greater @ e_3 @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(10,axiom,
~ ( equalish @ e_4 @ e_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
thf(76,plain,
~ ( equalish @ e_4 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(26,axiom,
greater @ e_6 @ e_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_4) ).
thf(103,plain,
greater @ e_6 @ e_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(2,axiom,
next @ e_2 @ e_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
thf(66,plain,
next @ e_2 @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,axiom,
greater @ e_4 @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
thf(108,plain,
greater @ e_4 @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(43,axiom,
group_element @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
thf(130,plain,
group_element @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(47,axiom,
greater @ e_2 @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_1) ).
thf(135,plain,
greater @ e_2 @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(12,axiom,
~ ( equalish @ e_4 @ e_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
thf(80,plain,
~ ( equalish @ e_4 @ e_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
greater @ e_6 @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_1) ).
thf(67,plain,
greater @ e_6 @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(41,axiom,
greater @ e_5 @ e_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_3) ).
thf(127,plain,
greater @ e_5 @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(59,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( product @ A @ e_1 @ B )
| ~ ( next @ A @ C )
| ~ ( greater @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
thf(154,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( product @ A @ e_1 @ B )
| ~ ( next @ A @ C )
| ~ ( greater @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(7,axiom,
group_element @ e_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
thf(72,plain,
group_element @ e_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,axiom,
~ ( equalish @ e_6 @ e_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_1) ).
thf(99,plain,
~ ( equalish @ e_6 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,axiom,
group_element @ e_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
thf(87,plain,
group_element @ e_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,axiom,
~ ( equalish @ e_4 @ e_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
thf(104,plain,
~ ( equalish @ e_4 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(33,axiom,
~ ( equalish @ e_4 @ e_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
thf(114,plain,
~ ( equalish @ e_4 @ e_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(50,axiom,
~ ( equalish @ e_1 @ e_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
thf(139,plain,
~ ( equalish @ e_1 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(9,axiom,
greater @ e_4 @ e_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_1) ).
thf(75,plain,
greater @ e_4 @ e_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(36,axiom,
~ ( equalish @ e_2 @ e_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
thf(119,plain,
~ ( equalish @ e_2 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(13,axiom,
~ ( equalish @ e_3 @ e_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_6) ).
thf(82,plain,
~ ( equalish @ e_3 @ e_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(57,axiom,
group_element @ e_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_6) ).
thf(151,plain,
group_element @ e_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(54,axiom,
greater @ e_6 @ e_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_5) ).
thf(146,plain,
greater @ e_6 @ e_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(40,axiom,
next @ e_1 @ e_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
thf(126,plain,
next @ e_1 @ e_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(48,axiom,
~ ( equalish @ e_6 @ e_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_is_not_e_3) ).
thf(136,plain,
~ ( equalish @ e_6 @ e_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(44,axiom,
~ ( equalish @ e_2 @ e_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
thf(131,plain,
~ ( equalish @ e_2 @ e_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(4,axiom,
next @ e_3 @ e_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
thf(68,plain,
next @ e_3 @ e_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,axiom,
~ ( equalish @ e_5 @ e_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
thf(90,plain,
~ ( equalish @ e_5 @ e_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(31,axiom,
~ ( equalish @ e_2 @ e_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
thf(111,plain,
~ ( equalish @ e_2 @ e_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(1168,plain,
$false,
inference(cvc4,[status(thm)],[142,117,70,123,95,69,138,101,88,125,157,93,152,78,106,121,84,147,133,116,92,97,156,141,109,96,134,73,128,161,64,149,144,86,159,113,76,103,66,108,130,135,80,67,127,154,72,99,87,104,114,139,75,119,82,151,146,126,136,131,68,90,111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.11 % Command : run_Leo-III %s %d
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri May 19 01:55:36 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.72/0.69 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.03/0.81 % [INFO] Parsing done (118ms).
% 1.03/0.82 % [INFO] Running in sequential loop mode.
% 1.35/1.02 % [INFO] eprover registered as external prover.
% 1.35/1.02 % [INFO] cvc4 registered as external prover.
% 1.35/1.02 % [INFO] Scanning for conjecture ...
% 1.55/1.08 % [INFO] Found a conjecture and 62 axioms. Running axiom selection ...
% 1.69/1.13 % [INFO] Axiom selection finished. Selected 62 axioms (removed 0 axioms).
% 1.78/1.16 % [INFO] Problem is propositional (TPTP CNF).
% 1.78/1.16 % [INFO] Type checking passed.
% 1.78/1.17 % [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 ...
% 10.01/2.66 % External prover 'cvc4' found a proof!
% 10.01/2.66 % [INFO] Killing All external provers ...
% 10.01/2.66 % Time passed: 2248ms (effective reasoning time: 1839ms)
% 10.01/2.66 % Solved by 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)>
% 10.01/2.66 % Axioms used in derivation (62): e_6_is_not_e_3, element_4, element_2, e_3_greater_e_2, e_3_then_e_4, e_2_is_not_e_5, e_5_greater_e_2, e_1_is_not_e_4, product_left_cancellation, e_3_is_not_e_2, e_6_greater_e_5, e_5_then_e_6, e_5_is_not_e_3, e_1_then_e_2, e_2_is_not_e_3, element_3, e_4_greater_e_2, e_6_greater_e_2, e_4_is_not_e_6, e_2_then_e_3, e_5_greater_e_1, e_4_greater_e_1, product_right_cancellation, e_6_is_not_e_2, e_2_is_not_e_6, e_5_is_not_e_2, e_6_greater_e_4, e_5_is_not_e_6, e_4_is_not_e_2, product_total_function2, product_idempotence, e_1_is_not_e_6, product_total_function1, e_5_greater_e_4, e_6_is_not_e_1, e_1_is_not_e_2, e_2_greater_e_1, e_2_is_not_e_1, e_5_is_not_e_1, element_5, e_6_is_not_e_5, e_5_greater_e_3, e_3_is_not_e_4, e_6_greater_e_3, element_1, e_4_is_not_e_3, no_redundancy, e_1_is_not_e_5, e_3_greater_e_1, e_4_greater_e_3, e_3_is_not_e_5, e_3_is_not_e_6, e_1_is_not_e_3, e_4_then_e_5, element_6, e_6_greater_e_1, e_2_is_not_e_4, e_4_is_not_e_1, e_4_is_not_e_5, e_6_is_not_e_4, e_5_is_not_e_4, e_3_is_not_e_1
% 10.01/2.66 % No. of inferences in proof: 127
% 10.01/2.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2248 ms resp. 1839 ms w/o parsing
% 10.01/2.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.01/2.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------