%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP548-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 3.67s 1.04s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 33 RR)
% Number of literals : 52 ( 51 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 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 : 34 ( 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(t138,plain,
sF1 = divide(b,sF0),
inference(step,[status(thm)],[t3,t7]) ).
cnf(t9,plain,
divide(b,sF0) = sF1,
inference(orient,[status(thm)],[t138]) ).
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(t139,plain,
sF3 = divide(a,sF2),
inference(step,[status(thm)],[t5,t8]) ).
cnf(t10,plain,
divide(a,sF2) = sF3,
inference(orient,[status(thm)],[t139]) ).
cnf(t1,axiom,
divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t13,plain,
X1 = divide(divide(identity,divide(divide(X2,X1),X2)),identity),
inference(cp,[status(thm)],[t11,t6]) ).
cnf(t12,plain,
X1 = divide(divide(identity,identity),divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t11,t6]) ).
cnf(t140,plain,
X1 = divide(identity,divide(divide(X2,X1),X2)),
inference(step,[status(thm)],[t12,t6]) ).
cnf(t26,plain,
divide(identity,divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t140]) ).
cnf(t141,plain,
X1 = divide(X1,identity),
inference(step,[status(thm)],[t13,t26]) ).
cnf(t50,plain,
divide(X1,identity) = X1,
inference(orient,[status(thm)],[t141]) ).
cnf(t52,plain,
X1 = divide(divide(identity,divide(identity,X2)),divide(X2,X1)),
inference(cp,[status(thm)],[t11,t50]) ).
cnf(t27,plain,
X1 = divide(identity,divide(identity,X1)),
inference(cp,[status(thm)],[t26,t6]) ).
cnf(t37,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t27]) ).
cnf(t149,plain,
X1 = divide(X2,divide(X2,X1)),
inference(step,[status(thm)],[t52,t37]) ).
cnf(t114,plain,
divide(X1,divide(X1,X2)) = X2,
inference(orient,[status(thm)],[t149]) ).
cnf(t33,plain,
divide(divide(X1,X2),X1) = divide(identity,divide(X2,identity)),
inference(cp,[status(thm)],[t26,t26]) ).
cnf(t146,plain,
divide(divide(X1,X2),X1) = divide(identity,X2),
inference(step,[status(thm)],[t33,t50]) ).
cnf(t74,plain,
divide(divide(X1,X2),X1) = divide(identity,X2),
inference(orient,[status(thm)],[t146]) ).
cnf(t30,plain,
sF0 = divide(identity,divide(sF1,b)),
inference(cp,[status(thm)],[t26,t9]) ).
cnf(t54,plain,
divide(identity,divide(sF1,b)) = sF0,
inference(orient,[status(thm)],[t30]) ).
cnf(t58,plain,
divide(sF1,b) = divide(identity,divide(sF0,identity)),
inference(cp,[status(thm)],[t26,t54]) ).
cnf(t142,plain,
divide(sF1,b) = divide(identity,sF0),
inference(step,[status(thm)],[t58,t50]) ).
cnf(t38,plain,
a = divide(identity,sF0),
inference(cp,[status(thm)],[t37,t7]) ).
cnf(t44,plain,
divide(identity,sF0) = a,
inference(orient,[status(thm)],[t38]) ).
cnf(t143,plain,
divide(sF1,b) = a,
inference(step,[status(thm)],[t142,t44]) ).
cnf(t59,plain,
divide(sF1,b) = a,
inference(orient,[status(thm)],[t143]) ).
cnf(t77,plain,
divide(identity,b) = divide(a,sF1),
inference(cp,[status(thm)],[t74,t59]) ).
cnf(t147,plain,
sF2 = divide(a,sF1),
inference(step,[status(thm)],[t77,t8]) ).
cnf(t82,plain,
divide(a,sF1) = sF2,
inference(orient,[status(thm)],[t147]) ).
cnf(t122,plain,
sF1 = divide(a,sF2),
inference(cp,[status(thm)],[t114,t82]) ).
cnf(t151,plain,
sF1 = sF3,
inference(step,[status(thm)],[t122,t10]) ).
cnf(t132,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t151]) ).
cnf(t152,plain,
divide(a,sF2) = sF1,
inference(step,[status(thm)],[t10,t132]) ).
cnf(t133,plain,
divide(a,sF2) = sF1,
inference(orient,[status(thm)],[t152]) ).
cnf(u0,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox/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,t133]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP548-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 15:00:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.67/1.04 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/1.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------