%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP172-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 01:25:31 PM UTC 2026
% Result : Unsatisfiable 6.09s 1.28s
% Output : CNFRefutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 33 RR)
% Number of literals : 56 ( 55 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t10,axiom,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t63,plain,
greatest_lower_bound(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(X1,greatest_lower_bound(X2,X3)),
inference(orient,[status(thm)],[t10]) ).
cnf(t2,axiom,
greatest_lower_bound(identity,b) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t78,plain,
greatest_lower_bound(identity,b) = identity,
inference(orient,[status(thm)],[t2]) ).
cnf(t79,plain,
greatest_lower_bound(identity,greatest_lower_bound(b,X1)) = greatest_lower_bound(identity,X1),
inference(cp,[status(thm)],[t63,t78]) ).
cnf(t195,plain,
greatest_lower_bound(identity,greatest_lower_bound(b,X1)) = greatest_lower_bound(identity,X1),
inference(orient,[status(thm)],[t79]) ).
cnf(t7,axiom,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t21,plain,
greatest_lower_bound(X1,least_upper_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t8,axiom,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t80,plain,
least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
inference(orient,[status(thm)],[t8]) ).
cnf(t83,plain,
X1 = greatest_lower_bound(X1,least_upper_bound(X2,X1)),
inference(cp,[status(thm)],[t21,t80]) ).
cnf(t114,plain,
greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(orient,[status(thm)],[t83]) ).
cnf(t197,plain,
greatest_lower_bound(identity,least_upper_bound(X1,b)) = greatest_lower_bound(identity,b),
inference(cp,[status(thm)],[t195,t114]) ).
cnf(t284,plain,
greatest_lower_bound(identity,least_upper_bound(X1,b)) = identity,
inference(step,[status(thm)],[t197,t78]) ).
cnf(t206,plain,
greatest_lower_bound(identity,least_upper_bound(X1,b)) = identity,
inference(orient,[status(thm)],[t284]) ).
cnf(t9,axiom,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t23,plain,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
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(t28,plain,
greatest_lower_bound(multiply(X1,X2),multiply(X3,X2)) = multiply(greatest_lower_bound(X1,X3),X2),
inference(orient,[status(thm)],[t14]) ).
cnf(t4,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t29,plain,
multiply(greatest_lower_bound(identity,X1),X2) = greatest_lower_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t28,t19]) ).
cnf(t237,plain,
greatest_lower_bound(X1,multiply(X2,X1)) = multiply(greatest_lower_bound(identity,X2),X1),
inference(orient,[status(thm)],[t29]) ).
cnf(t17,axiom,
sFlat0 = multiply(a,b),
introduced(definition) ).
cnf(t39,plain,
multiply(a,b) = sFlat0,
inference(orient,[status(thm)],[t17]) ).
cnf(t241,plain,
multiply(greatest_lower_bound(identity,a),b) = greatest_lower_bound(b,sFlat0),
inference(cp,[status(thm)],[t237,t39]) ).
cnf(t1,axiom,
greatest_lower_bound(identity,a) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t76,plain,
greatest_lower_bound(identity,a) = identity,
inference(orient,[status(thm)],[t1]) ).
cnf(t288,plain,
multiply(identity,b) = greatest_lower_bound(b,sFlat0),
inference(step,[status(thm)],[t241,t76]) ).
cnf(t289,plain,
b = greatest_lower_bound(b,sFlat0),
inference(step,[status(thm)],[t288,t19]) ).
cnf(t6,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t59,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t6]) ).
cnf(t290,plain,
b = greatest_lower_bound(sFlat0,b),
inference(step,[status(thm)],[t289,t59]) ).
cnf(t250,plain,
greatest_lower_bound(sFlat0,b) = b,
inference(orient,[status(thm)],[t290]) ).
cnf(t252,plain,
sFlat0 = least_upper_bound(sFlat0,b),
inference(cp,[status(thm)],[t23,t250]) ).
cnf(t253,plain,
least_upper_bound(sFlat0,b) = sFlat0,
inference(orient,[status(thm)],[t252]) ).
cnf(t255,plain,
identity = greatest_lower_bound(identity,sFlat0),
inference(cp,[status(thm)],[t206,t253]) ).
cnf(t291,plain,
identity = greatest_lower_bound(sFlat0,identity),
inference(step,[status(thm)],[t255,t59]) ).
cnf(t18,axiom,
sFlat1 = greatest_lower_bound(identity,multiply(a,b)),
introduced(definition) ).
cnf(t267,plain,
sFlat1 = greatest_lower_bound(identity,sFlat0),
inference(step,[status(thm)],[t18,t39]) ).
cnf(t268,plain,
sFlat1 = greatest_lower_bound(sFlat0,identity),
inference(step,[status(thm)],[t267,t59]) ).
cnf(t73,plain,
greatest_lower_bound(sFlat0,identity) = sFlat1,
inference(orient,[status(thm)],[t268]) ).
cnf(t292,plain,
identity = sFlat1,
inference(step,[status(thm)],[t291,t73]) ).
cnf(t258,plain,
identity = sFlat1,
inference(orient,[status(thm)],[t292]) ).
cnf(t75,plain,
sFlat0 = least_upper_bound(sFlat0,sFlat1),
inference(cp,[status(thm)],[t23,t73]) ).
cnf(t94,plain,
least_upper_bound(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t75]) ).
cnf(t117,plain,
sFlat1 = greatest_lower_bound(sFlat1,sFlat0),
inference(cp,[status(thm)],[t114,t94]) ).
cnf(t272,plain,
sFlat1 = greatest_lower_bound(sFlat0,sFlat1),
inference(step,[status(thm)],[t117,t59]) ).
cnf(t120,plain,
greatest_lower_bound(sFlat0,sFlat1) = sFlat1,
inference(orient,[status(thm)],[t272]) ).
cnf(goal_0,negated_conjecture,
greatest_lower_bound(identity,multiply(a,b)) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
greatest_lower_bound(sFlat1,multiply(a,b)) != identity,
inference(rw,[status(thm)],[goal_0,t258]) ).
cnf(g0_1,plain,
greatest_lower_bound(sFlat1,sFlat0) != identity,
inference(rw,[status(thm)],[g0_0,t39]) ).
cnf(g0_2,plain,
greatest_lower_bound(sFlat0,sFlat1) != identity,
inference(rw,[status(thm)],[g0_1,t59]) ).
cnf(g0_3,plain,
sFlat1 != identity,
inference(rw,[status(thm)],[g0_2,t120]) ).
cnf(g0_4,plain,
sFlat1 != sFlat1,
inference(rw,[status(thm)],[g0_3,t258]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP172-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % 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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 14:00:36 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.09/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.09/1.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------