%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP173-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 01:25:32 PM UTC 2026
% Result : Unsatisfiable 5.95s 6.34s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 12 RR)
% Number of literals : 24 ( 23 equ; 2 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t16,axiom,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
least_upper_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(least_upper_bound(X1,X3),X2),
inference(orient,[status(thm)],[t16]) ).
cnf(t3,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t27,plain,
multiply(least_upper_bound(identity,X1),X2) = least_upper_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t26,t17]) ).
cnf(t246,plain,
least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(identity,X2),X1),
inference(orient,[status(thm)],[t27]) ).
cnf(t5,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t37,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t5]) ).
cnf(t251,plain,
multiply(least_upper_bound(identity,inverse(X1)),X1) = least_upper_bound(X1,identity),
inference(cp,[status(thm)],[t246,t37]) ).
cnf(t407,plain,
multiply(least_upper_bound(identity,inverse(X1)),X1) = least_upper_bound(X1,identity),
inference(orient,[status(thm)],[t251]) ).
cnf(t4,axiom,
least_upper_bound(identity,inverse(a)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t63,plain,
least_upper_bound(identity,inverse(a)) = identity,
inference(orient,[status(thm)],[t4]) ).
cnf(t408,plain,
least_upper_bound(a,identity) = multiply(identity,a),
inference(cp,[status(thm)],[t407,t63]) ).
cnf(t8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t47,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t440,plain,
least_upper_bound(identity,a) = multiply(identity,a),
inference(step,[status(thm)],[t408,t47]) ).
cnf(t2,axiom,
least_upper_bound(identity,a) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t61,plain,
least_upper_bound(identity,a) = identity,
inference(orient,[status(thm)],[t2]) ).
cnf(t441,plain,
identity = multiply(identity,a),
inference(step,[status(thm)],[t440,t61]) ).
cnf(t442,plain,
identity = a,
inference(step,[status(thm)],[t441,t17]) ).
cnf(t425,plain,
a = identity,
inference(orient,[status(thm)],[t442]) ).
cnf(goal_0,negated_conjecture,
identity != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
identity != identity,
inference(rw,[status(thm)],[goal_0,t425]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP173-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/5.37 % Computer : n026.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Wed Sep 23 14:00:59 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.95/6.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.95/6.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------