%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP186-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 01:25:38 PM UTC 2026
% Result : Unsatisfiable 5.23s 1.16s
% Output : CNFRefutation 5.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 12 RR)
% Number of literals : 20 ( 19 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t18,axiom,
sFlat0 = inverse(a),
introduced(definition) ).
cnf(t123,plain,
inverse(a) = sFlat0,
inference(orient,[status(thm)],[t18]) ).
cnf(t8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t88,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t5,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t44,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t5]) ).
cnf(t2,axiom,
inverse(inverse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t28,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t127,plain,
a = inverse(sFlat0),
inference(cp,[status(thm)],[t28,t123]) ).
cnf(t132,plain,
inverse(sFlat0) = a,
inference(orient,[status(thm)],[t127]) ).
cnf(t135,plain,
identity = multiply(a,sFlat0),
inference(cp,[status(thm)],[t44,t132]) ).
cnf(t151,plain,
multiply(a,sFlat0) = identity,
inference(orient,[status(thm)],[t135]) ).
cnf(t16,axiom,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t30,plain,
least_upper_bound(multiply(X1,X2),multiply(X1,X3)) = multiply(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t16]) ).
cnf(goal_0,negated_conjecture,
multiply(a,least_upper_bound(inverse(a),b)) != least_upper_bound(multiply(a,b),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a,least_upper_bound(inverse(a),b)) != multiply(a,least_upper_bound(sFlat0,b)),
inference(rw,[status(thm)],[goal_0,t123]) ).
cnf(g0_1,plain,
least_upper_bound(identity,multiply(a,b)) != multiply(a,least_upper_bound(sFlat0,b)),
inference(rw,[status(thm)],[g0_0,t88]) ).
cnf(g0_2,plain,
least_upper_bound(multiply(a,sFlat0),multiply(a,b)) != multiply(a,least_upper_bound(sFlat0,b)),
inference(rw,[status(thm)],[g0_1,t151]) ).
cnf(g0_3,plain,
multiply(a,least_upper_bound(sFlat0,b)) != multiply(a,least_upper_bound(sFlat0,b)),
inference(rw,[status(thm)],[g0_2,t30]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP186-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Wed Sep 23 14:07:05 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.23/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.23/1.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------