%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP546-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010
% 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 4.99s 31.11s
% Output : CNFRefutation 4.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 9 RR)
% Number of literals : 23 ( 22 equ; 5 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(t3,axiom,
sF1 = divide(divide(identity,b2),divide(identity,b2)),
introduced(definition) ).
cnf(t43,plain,
sF1 = identity,
inference(step,[status(thm)],[t3,t6]) ).
cnf(t9,plain,
identity = sF1,
inference(orient,[status(thm)],[t43]) ).
cnf(t44,plain,
divide(X1,X1) = sF1,
inference(step,[status(thm)],[t6,t9]) ).
cnf(t10,plain,
divide(X1,X1) = sF1,
inference(orient,[status(thm)],[t44]) ).
cnf(t1,axiom,
divide(divide(identity,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t48,plain,
divide(divide(sF1,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
inference(step,[status(thm)],[t1,t9]) ).
cnf(t16,plain,
divide(divide(sF1,divide(X1,X2)),divide(divide(X2,X3),X1)) = X3,
inference(orient,[status(thm)],[t48]) ).
cnf(t17,plain,
X1 = divide(divide(sF1,sF1),divide(divide(X2,X1),X2)),
inference(cp,[status(thm)],[t16,t10]) ).
cnf(t49,plain,
X1 = divide(sF1,divide(divide(X2,X1),X2)),
inference(step,[status(thm)],[t17,t10]) ).
cnf(t27,plain,
divide(sF1,divide(divide(X1,X2),X1)) = X2,
inference(orient,[status(thm)],[t49]) ).
cnf(t28,plain,
X1 = divide(sF1,divide(sF1,X1)),
inference(cp,[status(thm)],[t27,t10]) ).
cnf(t36,plain,
divide(sF1,divide(sF1,X1)) = X1,
inference(orient,[status(thm)],[t28]) ).
cnf(u0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
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(d1,axiom,
inverse(A) = divide(identity,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)) != a2,
inference(definition_unfolding,[status(thm)],[u0,d0,d1]) ).
cnf(g0_0,plain,
divide(sF1,divide(identity,a2)) != a2,
inference(rw,[status(thm)],[goal_0,t10]) ).
cnf(g0_1,plain,
divide(sF1,divide(sF1,a2)) != a2,
inference(rw,[status(thm)],[g0_0,t9]) ).
cnf(g0_2,plain,
a2 != a2,
inference(rw,[status(thm)],[g0_1,t36]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP546-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/30.41 % Computer : n010
% 0.11/30.41 % Model : x86_64 x86_64
% 0.11/30.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/30.41 % Memory : 8046.5625MB
% 0.11/30.41 % OS : Linux 6.8.0-71-generic
% 0.11/30.41 % CPULimit : 300
% 0.11/30.41 % WCLimit : 300
% 0.11/30.41 % DateTime : Wed Sep 23 15:03:15 UTC 2026
% 0.11/30.42 % CPUTime :
% 0.11/30.42 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.99/31.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.99/31.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------