%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP552-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 01:27:31 PM UTC 2026
% Result : Unsatisfiable 4.72s 6.06s
% Output : CNFRefutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 5 RR)
% Number of literals : 53 ( 52 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
divide(divide(identity,X1),divide(divide(divide(X2,X1),X3),X2)) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(divide(identity,X1),divide(divide(divide(X2,X1),X3),X2)) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(t1,axiom,
divide(identity,X1) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t136,plain,
divide(inverse(X1),divide(divide(divide(X2,X1),X3),X2)) = X3,
inference(step,[status(thm)],[t6,t21]) ).
cnf(t24,plain,
divide(inverse(X1),divide(divide(divide(X2,X1),X3),X2)) = X3,
inference(rw,[status(thm)],[t136]) ).
cnf(t53,plain,
divide(inverse(X1),divide(divide(divide(X2,X1),X3),X2)) = X3,
inference(orient,[status(thm)],[t24]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t60,plain,
divide(X1,X2) = divide(inverse(X2),divide(identity,X1)),
inference(cp,[status(thm)],[t53,t9]) ).
cnf(t138,plain,
divide(X1,X2) = divide(inverse(X2),inverse(X1)),
inference(step,[status(thm)],[t60,t21]) ).
cnf(t2,axiom,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t13,plain,
divide(X1,divide(identity,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t2]) ).
cnf(t135,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(step,[status(thm)],[t13,t21]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(rw,[status(thm)],[t135]) ).
cnf(t28,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t139,plain,
divide(X1,X2) = multiply(inverse(X2),X1),
inference(step,[status(thm)],[t138,t28]) ).
cnf(t70,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(orient,[status(thm)],[t139]) ).
cnf(t30,plain,
multiply(identity,X1) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t28,t21]) ).
cnf(t32,plain,
inverse(inverse(X1)) = multiply(identity,X1),
inference(orient,[status(thm)],[t30]) ).
cnf(t73,plain,
divide(X1,inverse(X2)) = multiply(multiply(identity,X2),X1),
inference(cp,[status(thm)],[t70,t32]) ).
cnf(t150,plain,
multiply(X1,X2) = multiply(multiply(identity,X2),X1),
inference(step,[status(thm)],[t73,t28]) ).
cnf(t102,plain,
multiply(multiply(identity,X1),X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t150]) ).
cnf(t35,plain,
multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)),
inference(cp,[status(thm)],[t32,t32]) ).
cnf(t40,plain,
inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)),
inference(orient,[status(thm)],[t35]) ).
cnf(t22,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t21,t9]) ).
cnf(t27,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t22]) ).
cnf(t72,plain,
divide(X1,identity) = multiply(identity,X1),
inference(cp,[status(thm)],[t70,t27]) ).
cnf(t31,plain,
multiply(X1,identity) = divide(X1,identity),
inference(cp,[status(thm)],[t28,t27]) ).
cnf(t37,plain,
divide(X1,identity) = multiply(X1,identity),
inference(orient,[status(thm)],[t31]) ).
cnf(t140,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(step,[status(thm)],[t72,t37]) ).
cnf(t74,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(orient,[status(thm)],[t140]) ).
cnf(t78,plain,
multiply(identity,inverse(X1)) = inverse(multiply(X1,identity)),
inference(cp,[status(thm)],[t40,t74]) ).
cnf(t75,plain,
multiply(identity,inverse(X1)) = divide(identity,X1),
inference(cp,[status(thm)],[t74,t70]) ).
cnf(t141,plain,
multiply(identity,inverse(X1)) = inverse(X1),
inference(step,[status(thm)],[t75,t21]) ).
cnf(t81,plain,
multiply(identity,inverse(X1)) = inverse(X1),
inference(orient,[status(thm)],[t141]) ).
cnf(t149,plain,
inverse(X1) = inverse(multiply(X1,identity)),
inference(step,[status(thm)],[t78,t81]) ).
cnf(t96,plain,
inverse(multiply(X1,identity)) = inverse(X1),
inference(orient,[status(thm)],[t149]) ).
cnf(t98,plain,
divide(X1,multiply(X2,identity)) = multiply(inverse(X2),X1),
inference(cp,[status(thm)],[t70,t96]) ).
cnf(t155,plain,
divide(X1,multiply(X2,identity)) = divide(X1,X2),
inference(step,[status(thm)],[t98,t70]) ).
cnf(t120,plain,
divide(X1,multiply(X2,identity)) = divide(X1,X2),
inference(orient,[status(thm)],[t155]) ).
cnf(t123,plain,
multiply(X1,identity) = divide(inverse(X2),divide(divide(divide(X3,X2),X1),X3)),
inference(cp,[status(thm)],[t53,t120]) ).
cnf(t156,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t123,t53]) ).
cnf(t124,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t156]) ).
cnf(t127,plain,
multiply(X1,identity) = multiply(identity,X1),
inference(cp,[status(thm)],[t102,t124]) ).
cnf(t160,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t127,t124]) ).
cnf(t129,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t160]) ).
cnf(t163,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(step,[status(thm)],[t102,t129]) ).
cnf(t132,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[t163]) ).
cnf(t133,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t132]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[goal_0,t133]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP552-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 15:04:10 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.72/6.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.72/6.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------