%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP171-1 : 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 5.68s 11.52s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 12 RR)
% Number of literals : 34 ( 33 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
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(t11,axiom,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t51,plain,
least_upper_bound(least_upper_bound(X1,X2),X3) = least_upper_bound(X1,least_upper_bound(X2,X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(t3,axiom,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t64,plain,
least_upper_bound(identity,b) = b,
inference(orient,[status(thm)],[t3]) ).
cnf(t65,plain,
least_upper_bound(identity,least_upper_bound(b,X1)) = least_upper_bound(b,X1),
inference(cp,[status(thm)],[t51,t64]) ).
cnf(t112,plain,
least_upper_bound(identity,least_upper_bound(b,X1)) = least_upper_bound(b,X1),
inference(orient,[status(thm)],[t65]) ).
cnf(t114,plain,
identity = greatest_lower_bound(identity,least_upper_bound(b,X1)),
inference(cp,[status(thm)],[t21,t112]) ).
cnf(t115,plain,
greatest_lower_bound(identity,least_upper_bound(b,X1)) = identity,
inference(orient,[status(thm)],[t114]) ).
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(t4,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t17,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t27,plain,
multiply(least_upper_bound(identity,X1),X2) = least_upper_bound(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t26,t17]) ).
cnf(t279,plain,
least_upper_bound(X1,multiply(X2,X1)) = multiply(least_upper_bound(identity,X2),X1),
inference(orient,[status(thm)],[t27]) ).
cnf(t289,plain,
identity = greatest_lower_bound(identity,multiply(least_upper_bound(identity,X1),b)),
inference(cp,[status(thm)],[t115,t279]) ).
cnf(t566,plain,
greatest_lower_bound(identity,multiply(least_upper_bound(identity,X1),b)) = identity,
inference(orient,[status(thm)],[t289]) ).
cnf(t2,axiom,
least_upper_bound(identity,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t61,plain,
least_upper_bound(identity,a) = a,
inference(orient,[status(thm)],[t2]) ).
cnf(t572,plain,
identity = greatest_lower_bound(identity,multiply(a,b)),
inference(cp,[status(thm)],[t566,t61]) ).
cnf(t586,plain,
greatest_lower_bound(identity,multiply(a,b)) = identity,
inference(orient,[status(thm)],[t572]) ).
cnf(t6,axiom,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t67,plain,
greatest_lower_bound(X1,X2) = greatest_lower_bound(X2,X1),
inference(orient,[status(thm)],[t6]) ).
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(t9,axiom,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
least_upper_bound(X1,greatest_lower_bound(X1,X2)) = X1,
inference(orient,[status(thm)],[t9]) ).
cnf(goal_0,negated_conjecture,
least_upper_bound(identity,multiply(a,b)) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
least_upper_bound(greatest_lower_bound(identity,multiply(a,b)),multiply(a,b)) != multiply(a,b),
inference(rw,[status(thm)],[goal_0,t586]) ).
cnf(g0_1,plain,
least_upper_bound(greatest_lower_bound(multiply(a,b),identity),multiply(a,b)) != multiply(a,b),
inference(rw,[status(thm)],[g0_0,t67]) ).
cnf(g0_2,plain,
least_upper_bound(multiply(a,b),greatest_lower_bound(multiply(a,b),identity)) != multiply(a,b),
inference(rw,[status(thm)],[g0_1,t47]) ).
cnf(g0_3,plain,
multiply(a,b) != multiply(a,b),
inference(rw,[status(thm)],[g0_2,t19]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP171-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/10.59 % Computer : n002.cluster.edu
% 0.12/10.59 % Model : x86_64 x86_64
% 0.12/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.59 % Memory : 8046.5625MB
% 0.12/10.59 % OS : Linux 6.8.0-71-generic
% 0.12/10.59 % CPULimit : 300
% 0.12/10.59 % WCLimit : 300
% 0.12/10.59 % DateTime : Wed Sep 23 14:00:01 UTC 2026
% 0.12/10.59 % CPUTime :
% 0.12/10.59 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.68/11.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/11.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------