%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:26:55 PM UTC 2026
% Result : Unsatisfiable 5.24s 1.26s
% Output : CNFRefutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 20 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(divide(divide(X1,X1),divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
divide(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
divide(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t46,plain,
divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
inference(step,[status(thm)],[t1,t4]) ).
cnf(t7,plain,
divide(divide(identity,divide(X1,divide(X2,divide(divide(identity,X1),X3)))),X3) = X2,
inference(orient,[status(thm)],[t46]) ).
cnf(t9,plain,
X1 = divide(divide(identity,divide(X2,divide(X1,identity))),divide(identity,X2)),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t27,plain,
divide(divide(identity,divide(X1,divide(X2,identity))),divide(identity,X1)) = X2,
inference(orient,[status(thm)],[t9]) ).
cnf(t28,plain,
X1 = divide(divide(identity,identity),divide(identity,divide(X1,identity))),
inference(cp,[status(thm)],[t27,t4]) ).
cnf(t49,plain,
X1 = divide(identity,divide(identity,divide(X1,identity))),
inference(step,[status(thm)],[t28,t4]) ).
cnf(t8,plain,
divide(divide(identity,X1),X2) = divide(divide(identity,divide(X1,identity)),X2),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t15,plain,
divide(divide(identity,divide(X1,identity)),X2) = divide(divide(identity,X1),X2),
inference(orient,[status(thm)],[t8]) ).
cnf(t20,plain,
divide(identity,divide(X1,identity)) = divide(divide(identity,divide(X2,divide(divide(identity,X1),divide(divide(identity,X2),X3)))),X3),
inference(cp,[status(thm)],[t7,t15]) ).
cnf(t47,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(step,[status(thm)],[t20,t7]) ).
cnf(t22,plain,
divide(identity,divide(X1,identity)) = divide(identity,X1),
inference(orient,[status(thm)],[t47]) ).
cnf(t50,plain,
X1 = divide(identity,divide(identity,X1)),
inference(step,[status(thm)],[t49,t22]) ).
cnf(t37,plain,
divide(identity,divide(identity,X1)) = X1,
inference(orient,[status(thm)],[t50]) ).
cnf(u0,negated_conjecture,
multiply(identity,a2) != a2,
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(identity,divide(identity,a2)) != a2,
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
a2 != a2,
inference(rw,[status(thm)],[goal_0,t37]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.53 % Computer : n018.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Wed Sep 23 14:50:48 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.24/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.24/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------