%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 5.22s 1.15s
% Output : CNFRefutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 5 RR)
% Number of literals : 61 ( 60 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(t10,plain,
X1 = divide(divide(X2,divide(X2,X1)),identity),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t2,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t201,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)],[t201]) ).
cnf(t1,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t202,plain,
divide(identity,X2) = inverse(X2),
inference(step,[status(thm)],[t1,t8]) ).
cnf(t19,plain,
divide(identity,X1) = inverse(X1),
inference(orient,[status(thm)],[t202]) ).
cnf(t203,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)],[t203]) ).
cnf(t25,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t20,plain,
inverse(identity) = identity,
inference(cp,[status(thm)],[t19,t8]) ).
cnf(t24,plain,
inverse(identity) = identity,
inference(orient,[status(thm)],[t20]) ).
cnf(t28,plain,
multiply(X1,identity) = divide(X1,identity),
inference(cp,[status(thm)],[t25,t24]) ).
cnf(t37,plain,
divide(X1,identity) = multiply(X1,identity),
inference(orient,[status(thm)],[t28]) ).
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(t9,plain,
X1 = divide(identity,divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t205,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)],[t205]) ).
cnf(t57,plain,
X1 = inverse(divide(identity,X1)),
inference(cp,[status(thm)],[t53,t8]) ).
cnf(t206,plain,
X1 = inverse(inverse(X1)),
inference(step,[status(thm)],[t57,t19]) ).
cnf(t207,plain,
X1 = multiply(identity,X1),
inference(step,[status(thm)],[t206,t32]) ).
cnf(t67,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t207]) ).
cnf(t208,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t32,t67]) ).
cnf(t68,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t208]) ).
cnf(t55,plain,
X1 = inverse(multiply(divide(identity,X1),identity)),
inference(cp,[status(thm)],[t53,t37]) ).
cnf(t212,plain,
X1 = inverse(multiply(inverse(X1),identity)),
inference(step,[status(thm)],[t55,t19]) ).
cnf(t76,plain,
inverse(multiply(inverse(X1),identity)) = X1,
inference(orient,[status(thm)],[t212]) ).
cnf(t78,plain,
inverse(X1) = inverse(multiply(X1,identity)),
inference(cp,[status(thm)],[t76,t68]) ).
cnf(t84,plain,
inverse(multiply(X1,identity)) = inverse(X1),
inference(orient,[status(thm)],[t78]) ).
cnf(t88,plain,
multiply(X1,identity) = inverse(inverse(X1)),
inference(cp,[status(thm)],[t68,t84]) ).
cnf(t213,plain,
multiply(X1,identity) = X1,
inference(step,[status(thm)],[t88,t68]) ).
cnf(t89,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t213]) ).
cnf(t214,plain,
divide(X1,identity) = X1,
inference(step,[status(thm)],[t37,t89]) ).
cnf(t90,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t214]) ).
cnf(t220,plain,
X1 = divide(X2,divide(X2,X1)),
inference(step,[status(thm)],[t10,t90]) ).
cnf(t154,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t220]) ).
cnf(t60,plain,
inverse(X1) = inverse(divide(multiply(X2,X1),X2)),
inference(cp,[status(thm)],[t53,t25]) ).
cnf(t92,plain,
inverse(divide(multiply(X1,X2),X1)) = inverse(X2),
inference(orient,[status(thm)],[t60]) ).
cnf(t97,plain,
divide(multiply(X1,X2),X1) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t68,t92]) ).
cnf(t216,plain,
divide(multiply(X1,X2),X1) = X2,
inference(step,[status(thm)],[t97,t68]) ).
cnf(t98,plain,
divide(multiply(X1,X2),X1) = X2,
inference(orient,[status(thm)],[t216]) ).
cnf(t34,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(identity,X2)),
inference(cp,[status(thm)],[t25,t32]) ).
cnf(t49,plain,
divide(X1,multiply(identity,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t34]) ).
cnf(t210,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(step,[status(thm)],[t49,t67]) ).
cnf(t70,plain,
divide(X1,X2) = multiply(X1,inverse(X2)),
inference(rw,[status(thm)],[t210]) ).
cnf(t74,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t70]) ).
cnf(t100,plain,
inverse(X1) = divide(divide(X2,X1),X2),
inference(cp,[status(thm)],[t98,t74]) ).
cnf(t104,plain,
divide(divide(X1,X2),X1) = inverse(X2),
inference(orient,[status(thm)],[t100]) ).
cnf(t106,plain,
inverse(X1) = divide(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t104,t98]) ).
cnf(t111,plain,
divide(X1,multiply(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t106]) ).
cnf(t155,plain,
multiply(X1,X2) = divide(X2,inverse(X1)),
inference(cp,[status(thm)],[t154,t111]) ).
cnf(t227,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(step,[status(thm)],[t155,t25]) ).
cnf(t197,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(orient,[status(thm)],[t227]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(b,a) != multiply(b,a),
inference(rw,[status(thm)],[goal_0,t197]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n014.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 15:01:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.22/1.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.22/1.15 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------