%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP178-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 : Fri Sep 25 01:25:33 PM UTC 2026
% Result : Unsatisfiable 8.23s 4.50s
% Output : CNFRefutation 8.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 20
% Syntax : Number of clauses : 139 ( 139 unt; 0 nHn; 70 RR)
% Number of literals : 139 ( 138 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 118 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t19,axiom,
sFlat0 = multiply(b,c),
introduced(definition) ).
cnf(t42,plain,
multiply(b,c) = sFlat0,
inference(orient,[status(thm)],[t19]) ).
cnf(t8,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t82,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t20,axiom,
sFlat1 = greatest_lower_bound(a,multiply(b,c)),
introduced(definition) ).
cnf(t20559,plain,
sFlat1 = greatest_lower_bound(a,sFlat0),
inference(step,[status(thm)],[t20,t42]) ).
cnf(t20560,plain,
sFlat1 = greatest_lower_bound(sFlat0,a),
inference(step,[status(thm)],[t20559,t82]) ).
cnf(t93,plain,
greatest_lower_bound(sFlat0,a) = sFlat1,
inference(orient,[status(thm)],[t20560]) ).
cnf(t21,axiom,
sFlat2 = greatest_lower_bound(a,c),
introduced(definition) ).
cnf(t20562,plain,
sFlat2 = greatest_lower_bound(c,a),
inference(step,[status(thm)],[t21,t82]) ).
cnf(t98,plain,
greatest_lower_bound(c,a) = sFlat2,
inference(orient,[status(thm)],[t20562]) ).
cnf(t9,axiom,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t26,plain,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(t13,axiom,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t63,plain,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t13]) ).
cnf(t72,plain,
least_upper_bound(X1,X2) = greatest_lower_bound(least_upper_bound(X1,X2),least_upper_bound(X1,least_upper_bound(X2,X3))),
inference(cp,[status(thm)],[t26,t63]) ).
cnf(t4593,plain,
greatest_lower_bound(least_upper_bound(X1,X2),least_upper_bound(X1,least_upper_bound(X2,X3))) = least_upper_bound(X1,X2),
inference(orient,[status(thm)],[t72]) ).
cnf(t5,axiom,
least_upper_bound(identity,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t79,plain,
least_upper_bound(identity,c) = c,
inference(orient,[status(thm)],[t5]) ).
cnf(t4656,plain,
least_upper_bound(X1,identity) = greatest_lower_bound(least_upper_bound(X1,identity),least_upper_bound(X1,c)),
inference(cp,[status(thm)],[t4593,t79]) ).
cnf(t4681,plain,
greatest_lower_bound(least_upper_bound(X1,identity),least_upper_bound(X1,c)) = least_upper_bound(X1,identity),
inference(orient,[status(thm)],[t4656]) ).
cnf(t11,axiom,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t24,plain,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t12,axiom,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t83,plain,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
inference(orient,[status(thm)],[t12]) ).
cnf(t92,plain,
greatest_lower_bound(X1,X2) = least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,greatest_lower_bound(X2,X3))),
inference(cp,[status(thm)],[t24,t83]) ).
cnf(t8716,plain,
least_upper_bound(greatest_lower_bound(X1,X2),greatest_lower_bound(X1,greatest_lower_bound(X2,X3))) = greatest_lower_bound(X1,X2),
inference(orient,[status(thm)],[t92]) ).
cnf(t95,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(a,X1)) = greatest_lower_bound(sFlat1,X1),
inference(cp,[status(thm)],[t83,t93]) ).
cnf(t141,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(a,X1)) = greatest_lower_bound(sFlat1,X1),
inference(orient,[status(thm)],[t95]) ).
cnf(t145,plain,
greatest_lower_bound(sFlat1,X1) = greatest_lower_bound(sFlat0,greatest_lower_bound(X1,a)),
inference(cp,[status(thm)],[t141,t82]) ).
cnf(t389,plain,
greatest_lower_bound(sFlat0,greatest_lower_bound(X1,a)) = greatest_lower_bound(sFlat1,X1),
inference(orient,[status(thm)],[t145]) ).
cnf(t8719,plain,
greatest_lower_bound(sFlat0,X1) = least_upper_bound(greatest_lower_bound(sFlat0,X1),greatest_lower_bound(sFlat1,X1)),
inference(cp,[status(thm)],[t8716,t389]) ).
cnf(t9030,plain,
least_upper_bound(greatest_lower_bound(sFlat0,X1),greatest_lower_bound(sFlat1,X1)) = greatest_lower_bound(sFlat0,X1),
inference(orient,[status(thm)],[t8719]) ).
cnf(t144,plain,
greatest_lower_bound(sFlat1,least_upper_bound(a,X1)) = greatest_lower_bound(sFlat0,a),
inference(cp,[status(thm)],[t141,t26]) ).
cnf(t20567,plain,
greatest_lower_bound(sFlat1,least_upper_bound(a,X1)) = sFlat1,
inference(step,[status(thm)],[t144,t93]) ).
cnf(t174,plain,
greatest_lower_bound(sFlat1,least_upper_bound(a,X1)) = sFlat1,
inference(orient,[status(thm)],[t20567]) ).
cnf(t17,axiom,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t28,plain,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t17]) ).
cnf(t14,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t27,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t14]) ).
cnf(t7,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t52,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t7]) ).
cnf(t61,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(identity,X2),
inference(cp,[status(thm)],[t27,t52]) ).
cnf(t6,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t22,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t6]) ).
cnf(t20574,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(step,[status(thm)],[t61,t22]) ).
cnf(t236,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t20574]) ).
cnf(t237,plain,
X1 = multiply(inverse(inverse(X1)),identity),
inference(cp,[status(thm)],[t236,t52]) ).
cnf(t271,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(orient,[status(thm)],[t237]) ).
cnf(t242,plain,
multiply(X1,X2) = multiply(inverse(inverse(X1)),X2),
inference(cp,[status(thm)],[t236,t236]) ).
cnf(t301,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t242]) ).
cnf(t20578,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t271,t301]) ).
cnf(t310,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[t20578]) ).
cnf(t311,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t310]) ).
cnf(t317,plain,
multiply(X1,least_upper_bound(identity,X2)) = least_upper_bound(X1,multiply(X1,X2)),
inference(cp,[status(thm)],[t28,t311]) ).
cnf(t1588,plain,
least_upper_bound(X1,multiply(X1,X2)) = multiply(X1,least_upper_bound(identity,X2)),
inference(orient,[status(thm)],[t317]) ).
cnf(t1610,plain,
sFlat1 = greatest_lower_bound(sFlat1,multiply(a,least_upper_bound(identity,X1))),
inference(cp,[status(thm)],[t174,t1588]) ).
cnf(t20325,plain,
greatest_lower_bound(sFlat1,multiply(a,least_upper_bound(identity,X1))) = sFlat1,
inference(orient,[status(thm)],[t1610]) ).
cnf(t20375,plain,
sFlat1 = greatest_lower_bound(sFlat1,multiply(a,c)),
inference(cp,[status(thm)],[t20325,t79]) ).
cnf(t20394,plain,
greatest_lower_bound(sFlat1,multiply(a,c)) = sFlat1,
inference(orient,[status(thm)],[t20375]) ).
cnf(t20395,plain,
greatest_lower_bound(sFlat0,multiply(a,c)) = least_upper_bound(greatest_lower_bound(sFlat0,multiply(a,c)),sFlat1),
inference(cp,[status(thm)],[t9030,t20394]) ).
cnf(t16,axiom,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t37,plain,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
inference(orient,[status(thm)],[t16]) ).
cnf(t43,plain,
multiply(greatest_lower_bound(b,X1),c) = greatest_lower_bound(sFlat0,multiply(X1,c)),
inference(cp,[status(thm)],[t37,t42]) ).
cnf(t350,plain,
greatest_lower_bound(sFlat0,multiply(X1,c)) = multiply(greatest_lower_bound(b,X1),c),
inference(orient,[status(thm)],[t43]) ).
cnf(t21302,plain,
multiply(greatest_lower_bound(b,a),c) = least_upper_bound(greatest_lower_bound(sFlat0,multiply(a,c)),sFlat1),
inference(step,[status(thm)],[t20395,t350]) ).
cnf(t1,axiom,
greatest_lower_bound(a,b) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20561,plain,
greatest_lower_bound(b,a) = identity,
inference(step,[status(thm)],[t1,t82]) ).
cnf(t96,plain,
greatest_lower_bound(b,a) = identity,
inference(orient,[status(thm)],[t20561]) ).
cnf(t21303,plain,
multiply(identity,c) = least_upper_bound(greatest_lower_bound(sFlat0,multiply(a,c)),sFlat1),
inference(step,[status(thm)],[t21302,t96]) ).
cnf(t21304,plain,
c = least_upper_bound(greatest_lower_bound(sFlat0,multiply(a,c)),sFlat1),
inference(step,[status(thm)],[t21303,t22]) ).
cnf(t10,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t62,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t10]) ).
cnf(t21305,plain,
c = least_upper_bound(sFlat1,greatest_lower_bound(sFlat0,multiply(a,c))),
inference(step,[status(thm)],[t21304,t62]) ).
cnf(t21306,plain,
c = least_upper_bound(sFlat1,multiply(greatest_lower_bound(b,a),c)),
inference(step,[status(thm)],[t21305,t350]) ).
cnf(t21307,plain,
c = least_upper_bound(sFlat1,multiply(identity,c)),
inference(step,[status(thm)],[t21306,t96]) ).
cnf(t21308,plain,
c = least_upper_bound(sFlat1,c),
inference(step,[status(thm)],[t21307,t22]) ).
cnf(t20404,plain,
least_upper_bound(sFlat1,c) = c,
inference(orient,[status(thm)],[t21308]) ).
cnf(t20405,plain,
least_upper_bound(sFlat1,identity) = greatest_lower_bound(least_upper_bound(sFlat1,identity),c),
inference(cp,[status(thm)],[t4681,t20404]) ).
cnf(t3,axiom,
least_upper_bound(identity,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t73,plain,
least_upper_bound(identity,a) = a,
inference(orient,[status(thm)],[t3]) ).
cnf(t75,plain,
identity = greatest_lower_bound(identity,a),
inference(cp,[status(thm)],[t26,t73]) ).
cnf(t101,plain,
greatest_lower_bound(identity,a) = identity,
inference(orient,[status(thm)],[t75]) ).
cnf(t391,plain,
greatest_lower_bound(sFlat1,identity) = greatest_lower_bound(sFlat0,identity),
inference(cp,[status(thm)],[t389,t101]) ).
cnf(t396,plain,
greatest_lower_bound(sFlat1,identity) = greatest_lower_bound(sFlat0,identity),
inference(orient,[status(thm)],[t391]) ).
cnf(t397,plain,
sFlat1 = least_upper_bound(sFlat1,greatest_lower_bound(sFlat0,identity)),
inference(cp,[status(thm)],[t24,t396]) ).
cnf(t80,plain,
least_upper_bound(identity,least_upper_bound(c,X1)) = least_upper_bound(c,X1),
inference(cp,[status(thm)],[t63,t79]) ).
cnf(t138,plain,
least_upper_bound(identity,least_upper_bound(c,X1)) = least_upper_bound(c,X1),
inference(orient,[status(thm)],[t80]) ).
cnf(t140,plain,
identity = greatest_lower_bound(identity,least_upper_bound(c,X1)),
inference(cp,[status(thm)],[t26,t138]) ).
cnf(t171,plain,
greatest_lower_bound(identity,least_upper_bound(c,X1)) = identity,
inference(orient,[status(thm)],[t140]) ).
cnf(t172,plain,
identity = greatest_lower_bound(identity,least_upper_bound(X1,c)),
inference(cp,[status(thm)],[t171,t62]) ).
cnf(t418,plain,
greatest_lower_bound(identity,least_upper_bound(X1,c)) = identity,
inference(orient,[status(thm)],[t172]) ).
cnf(t18,axiom,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t31,plain,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
inference(orient,[status(thm)],[t18]) ).
cnf(t32,plain,
multiply(least_upper_bound(identity,X1),X2) = least_upper_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t31,t22]) ).
cnf(t215,plain,
least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(identity,X2),X1),
inference(orient,[status(thm)],[t32]) ).
cnf(t219,plain,
multiply(least_upper_bound(identity,b),c) = least_upper_bound(c,sFlat0),
inference(cp,[status(thm)],[t215,t42]) ).
cnf(t4,axiom,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t76,plain,
least_upper_bound(identity,b) = b,
inference(orient,[status(thm)],[t4]) ).
cnf(t20570,plain,
multiply(b,c) = least_upper_bound(c,sFlat0),
inference(step,[status(thm)],[t219,t76]) ).
cnf(t20571,plain,
sFlat0 = least_upper_bound(c,sFlat0),
inference(step,[status(thm)],[t20570,t42]) ).
cnf(t20572,plain,
sFlat0 = least_upper_bound(sFlat0,c),
inference(step,[status(thm)],[t20571,t62]) ).
cnf(t231,plain,
least_upper_bound(sFlat0,c) = sFlat0,
inference(orient,[status(thm)],[t20572]) ).
cnf(t419,plain,
identity = greatest_lower_bound(identity,sFlat0),
inference(cp,[status(thm)],[t418,t231]) ).
cnf(t20593,plain,
identity = greatest_lower_bound(sFlat0,identity),
inference(step,[status(thm)],[t419,t82]) ).
cnf(t421,plain,
greatest_lower_bound(sFlat0,identity) = identity,
inference(orient,[status(thm)],[t20593]) ).
cnf(t20611,plain,
sFlat1 = least_upper_bound(sFlat1,identity),
inference(step,[status(thm)],[t397,t421]) ).
cnf(t596,plain,
least_upper_bound(sFlat1,identity) = sFlat1,
inference(orient,[status(thm)],[t20611]) ).
cnf(t21309,plain,
sFlat1 = greatest_lower_bound(least_upper_bound(sFlat1,identity),c),
inference(step,[status(thm)],[t20405,t596]) ).
cnf(t21310,plain,
sFlat1 = greatest_lower_bound(c,least_upper_bound(sFlat1,identity)),
inference(step,[status(thm)],[t21309,t82]) ).
cnf(t21311,plain,
sFlat1 = greatest_lower_bound(c,sFlat1),
inference(step,[status(thm)],[t21310,t596]) ).
cnf(t21312,plain,
sFlat1 = greatest_lower_bound(sFlat1,c),
inference(step,[status(thm)],[t21311,t82]) ).
cnf(t392,plain,
greatest_lower_bound(sFlat1,c) = greatest_lower_bound(sFlat0,sFlat2),
inference(cp,[status(thm)],[t389,t98]) ).
cnf(t398,plain,
greatest_lower_bound(sFlat1,c) = greatest_lower_bound(sFlat0,sFlat2),
inference(orient,[status(thm)],[t392]) ).
cnf(t99,plain,
c = least_upper_bound(c,sFlat2),
inference(cp,[status(thm)],[t24,t98]) ).
cnf(t20563,plain,
c = least_upper_bound(sFlat2,c),
inference(step,[status(thm)],[t99,t62]) ).
cnf(t109,plain,
least_upper_bound(sFlat2,c) = c,
inference(orient,[status(thm)],[t20563]) ).
cnf(t110,plain,
least_upper_bound(sFlat2,least_upper_bound(c,X1)) = least_upper_bound(c,X1),
inference(cp,[status(thm)],[t63,t109]) ).
cnf(t379,plain,
least_upper_bound(sFlat2,least_upper_bound(c,X1)) = least_upper_bound(c,X1),
inference(orient,[status(thm)],[t110]) ).
cnf(t381,plain,
sFlat2 = greatest_lower_bound(sFlat2,least_upper_bound(c,X1)),
inference(cp,[status(thm)],[t26,t379]) ).
cnf(t462,plain,
greatest_lower_bound(sFlat2,least_upper_bound(c,X1)) = sFlat2,
inference(orient,[status(thm)],[t381]) ).
cnf(t464,plain,
sFlat2 = greatest_lower_bound(sFlat2,least_upper_bound(X1,c)),
inference(cp,[status(thm)],[t462,t62]) ).
cnf(t488,plain,
greatest_lower_bound(sFlat2,least_upper_bound(X1,c)) = sFlat2,
inference(orient,[status(thm)],[t464]) ).
cnf(t489,plain,
sFlat2 = greatest_lower_bound(sFlat2,sFlat0),
inference(cp,[status(thm)],[t488,t231]) ).
cnf(t20603,plain,
sFlat2 = greatest_lower_bound(sFlat0,sFlat2),
inference(step,[status(thm)],[t489,t82]) ).
cnf(t491,plain,
greatest_lower_bound(sFlat0,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t20603]) ).
cnf(t20606,plain,
greatest_lower_bound(sFlat1,c) = sFlat2,
inference(step,[status(thm)],[t398,t491]) ).
cnf(t494,plain,
greatest_lower_bound(sFlat1,c) = sFlat2,
inference(orient,[status(thm)],[t20606]) ).
cnf(t21313,plain,
sFlat1 = sFlat2,
inference(step,[status(thm)],[t21312,t494]) ).
cnf(t20413,plain,
sFlat2 = sFlat1,
inference(orient,[status(thm)],[t21313]) ).
cnf(t21314,plain,
greatest_lower_bound(c,a) = sFlat1,
inference(step,[status(thm)],[t98,t20413]) ).
cnf(t20414,plain,
greatest_lower_bound(c,a) = sFlat1,
inference(orient,[status(thm)],[t21314]) ).
cnf(goal_0,negated_conjecture,
greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
greatest_lower_bound(a,sFlat0) != greatest_lower_bound(a,c),
inference(rw,[status(thm)],[goal_0,t42]) ).
cnf(g0_1,plain,
greatest_lower_bound(sFlat0,a) != greatest_lower_bound(a,c),
inference(rw,[status(thm)],[g0_0,t82]) ).
cnf(g0_2,plain,
sFlat1 != greatest_lower_bound(a,c),
inference(rw,[status(thm)],[g0_1,t93]) ).
cnf(g0_3,plain,
sFlat1 != greatest_lower_bound(c,a),
inference(rw,[status(thm)],[g0_2,t82]) ).
cnf(g0_4,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_3,t20414]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP178-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 14:00:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.23/4.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.23/4.50 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------