%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP174-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:25:32 PM UTC 2026
% Result : Unsatisfiable 5.34s 1.16s
% Output : CNFRefutation 5.34s
% 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 ( 2 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(t14,axiom,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t26,plain,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
inference(orient,[status(thm)],[t14]) ).
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(greatest_lower_bound(identity,X1),X2) = greatest_lower_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t26,t17]) ).
cnf(t247,plain,
greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(identity,X2),X1),
inference(orient,[status(thm)],[t27]) ).
cnf(t4,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)],[t4]) ).
cnf(t252,plain,
multiply(greatest_lower_bound(identity,inverse(X1)),X1) = greatest_lower_bound(X1,identity),
inference(cp,[status(thm)],[t247,t37]) ).
cnf(t408,plain,
multiply(greatest_lower_bound(identity,inverse(X1)),X1) = greatest_lower_bound(X1,identity),
inference(orient,[status(thm)],[t252]) ).
cnf(t7,axiom,
greatest_lower_bound(identity,inverse(a)) = inverse(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t64,plain,
greatest_lower_bound(identity,inverse(a)) = inverse(a),
inference(orient,[status(thm)],[t7]) ).
cnf(t409,plain,
greatest_lower_bound(a,identity) = multiply(inverse(a),a),
inference(cp,[status(thm)],[t408,t64]) ).
cnf(t5,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t47,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t5]) ).
cnf(t437,plain,
greatest_lower_bound(identity,a) = multiply(inverse(a),a),
inference(step,[status(thm)],[t409,t47]) ).
cnf(t1,axiom,
greatest_lower_bound(identity,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t61,plain,
greatest_lower_bound(identity,a) = a,
inference(orient,[status(thm)],[t1]) ).
cnf(t438,plain,
a = multiply(inverse(a),a),
inference(step,[status(thm)],[t437,t61]) ).
cnf(t439,plain,
a = identity,
inference(step,[status(thm)],[t438,t37]) ).
cnf(t426,plain,
a = identity,
inference(orient,[status(thm)],[t439]) ).
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,t426]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP174-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 13:59:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.34/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/1.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------