%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP538-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 01:27:29 PM UTC 2026
% Result : Unsatisfiable 4.69s 6.14s
% Output : CNFRefutation 4.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 4 RR)
% Number of literals : 28 ( 27 equ; 3 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 : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t72,plain,
divide(X1,divide(identity,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t2,t8]) ).
cnf(t12,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t72]) ).
cnf(t1,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t73,plain,
divide(identity,X2) = inverse(X2),
inference(step,[status(thm)],[t1,t8]) ).
cnf(t19,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t73]) ).
cnf(t74,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t12,t19]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t74]) ).
cnf(t25,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t26,plain,
multiply(inverse(X1),X1) = identity,
inference(cp,[status(thm)],[t25,t8]) ).
cnf(t41,plain,
multiply(inverse(X1),X1) = identity,
inference(orient,[status(thm)],[t26]) ).
cnf(t3,axiom,
divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t9,plain,
X1 = divide(identity,divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t76,plain,
X1 = inverse(divide(divide(X2,X1),X2)),
inference(step,[status(thm)],[t9,t19]) ).
cnf(t53,plain,
inverse(divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t76]) ).
cnf(t57,plain,
X1 = inverse(divide(identity,X1)),
inference(cp,[status(thm)],[t53,t8]) ).
cnf(t77,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t57,t19]) ).
cnf(t27,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t25,t19]) ).
cnf(t32,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t27]) ).
cnf(t78,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t77,t32]) ).
cnf(t67,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t78]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(identity,a2) != a2,
inference(rw,[status(thm)],[goal_0,t41]) ).
cnf(g0_1,plain,
a2 != a2,
inference(rw,[status(thm)],[g0_0,t67]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP538-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 15:00:53 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.69/6.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.69/6.14 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------