%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP544-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 01:27:30 PM UTC 2026
% Result : Unsatisfiable 3.74s 1.28s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 27 RR)
% Number of literals : 57 ( 56 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
sF0 = divide(identity,a),
introduced(definition) ).
cnf(t7,plain,
divide(identity,a) = sF0,
inference(orient,[status(thm)],[t2]) ).
cnf(t3,axiom,
sF1 = divide(b,divide(identity,a)),
introduced(definition) ).
cnf(t108,plain,
sF1 = divide(b,sF0),
inference(step,[status(thm)],[t3,t7]) ).
cnf(t9,plain,
divide(b,sF0) = sF1,
inference(orient,[status(thm)],[t108]) ).
cnf(t4,axiom,
sF2 = divide(identity,b),
introduced(definition) ).
cnf(t8,plain,
divide(identity,b) = sF2,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sF3 = divide(a,divide(identity,b)),
introduced(definition) ).
cnf(t109,plain,
sF3 = divide(a,sF2),
inference(step,[status(thm)],[t5,t8]) ).
cnf(t10,plain,
divide(a,sF2) = sF3,
inference(orient,[status(thm)],[t109]) ).
cnf(t1,axiom,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
divide(divide(identity,divide(divide(divide(X1,X2),X3),X1)),X3) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t18,plain,
divide(divide(divide(X1,X2),X3),X1) = divide(divide(identity,divide(X2,identity)),X3),
inference(cp,[status(thm)],[t11,t11]) ).
cnf(t20,plain,
divide(divide(divide(X1,X2),X3),X1) = divide(divide(identity,divide(X2,identity)),X3),
inference(orient,[status(thm)],[t18]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t23,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(identity,X2),X1),
inference(cp,[status(thm)],[t20,t6]) ).
cnf(t30,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(identity,X2),X1),
inference(orient,[status(thm)],[t23]) ).
cnf(t111,plain,
divide(divide(divide(X1,X2),X3),X1) = divide(divide(identity,X3),X2),
inference(step,[status(thm)],[t20,t30]) ).
cnf(t31,plain,
divide(divide(divide(X1,X2),X3),X1) = divide(divide(identity,X3),X2),
inference(orient,[status(thm)],[t111]) ).
cnf(t110,plain,
divide(divide(identity,divide(divide(identity,divide(X2,identity)),X3)),X3) = X2,
inference(step,[status(thm)],[t11,t20]) ).
cnf(t21,plain,
divide(divide(identity,divide(divide(identity,divide(X1,identity)),X2)),X2) = X1,
inference(rw,[status(thm)],[t110]) ).
cnf(t115,plain,
divide(divide(identity,divide(divide(identity,X2),X1)),X2) = X1,
inference(step,[status(thm)],[t21,t30]) ).
cnf(t48,plain,
divide(divide(identity,divide(divide(identity,X1),X2)),X1) = X2,
inference(orient,[status(thm)],[t115]) ).
cnf(t49,plain,
X1 = divide(divide(identity,divide(identity,X1)),identity),
inference(cp,[status(thm)],[t48,t6]) ).
cnf(t34,plain,
divide(divide(identity,X1),identity) = divide(divide(identity,identity),X1),
inference(cp,[status(thm)],[t30,t6]) ).
cnf(t113,plain,
divide(divide(identity,X1),identity) = divide(identity,X1),
inference(step,[status(thm)],[t34,t6]) ).
cnf(t39,plain,
divide(divide(identity,X1),identity) = divide(identity,X1),
inference(orient,[status(thm)],[t113]) ).
cnf(t120,plain,
X1 = divide(identity,divide(identity,X1)),
inference(step,[status(thm)],[t49,t39]) ).
cnf(t68,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t120]) ).
cnf(t69,plain,
a = divide(identity,sF0),
inference(cp,[status(thm)],[t68,t7]) ).
cnf(t74,plain,
divide(identity,sF0) = a,
inference(orient,[status(thm)],[t69]) ).
cnf(t75,plain,
divide(divide(identity,X1),sF0) = divide(divide(a,X1),identity),
inference(cp,[status(thm)],[t31,t74]) ).
cnf(t42,plain,
divide(identity,divide(X1,identity)) = divide(divide(identity,identity),X1),
inference(cp,[status(thm)],[t39,t30]) ).
cnf(t117,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(step,[status(thm)],[t42,t6]) ).
cnf(t61,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(orient,[status(thm)],[t117]) ).
cnf(t71,plain,
divide(X1,identity) = divide(identity,divide(identity,X1)),
inference(cp,[status(thm)],[t68,t61]) ).
cnf(t121,plain,
divide(X1,identity) = X1,
inference(step,[status(thm)],[t71,t68]) ).
cnf(t80,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t121]) ).
cnf(t126,plain,
divide(divide(identity,X1),sF0) = divide(a,X1),
inference(step,[status(thm)],[t75,t80]) ).
cnf(t86,plain,
divide(divide(identity,X1),sF0) = divide(a,X1),
inference(orient,[status(thm)],[t126]) ).
cnf(t70,plain,
b = divide(identity,sF2),
inference(cp,[status(thm)],[t68,t8]) ).
cnf(t77,plain,
divide(identity,sF2) = b,
inference(orient,[status(thm)],[t70]) ).
cnf(t90,plain,
divide(a,sF2) = divide(b,sF0),
inference(cp,[status(thm)],[t86,t77]) ).
cnf(t128,plain,
sF3 = divide(b,sF0),
inference(step,[status(thm)],[t90,t10]) ).
cnf(t129,plain,
sF3 = sF1,
inference(step,[status(thm)],[t128,t9]) ).
cnf(t105,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t129]) ).
cnf(t130,plain,
divide(a,sF2) = sF1,
inference(step,[status(thm)],[t10,t105]) ).
cnf(t106,plain,
divide(a,sF2) = sF1,
inference(orient,[status(thm)],[t130]) ).
cnf(u0,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
divide(b,divide(identity,a)) != divide(a,divide(identity,b)),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
divide(b,sF0) != divide(a,divide(identity,b)),
inference(rw,[status(thm)],[goal_0,t7]) ).
cnf(g0_1,plain,
sF1 != divide(a,divide(identity,b)),
inference(rw,[status(thm)],[g0_0,t9]) ).
cnf(g0_2,plain,
sF1 != divide(a,sF2),
inference(rw,[status(thm)],[g0_1,t8]) ).
cnf(g0_3,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_2,t106]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP544-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.57 % Computer : n011.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Wed Sep 23 15:02:13 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.74/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/1.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------