%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP557-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 01:27:31 PM UTC 2026
% Result : Unsatisfiable 5.07s 1.09s
% Output : CNFRefutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 27 RR)
% Number of literals : 46 ( 45 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
sF0 = inverse(b1),
introduced(definition) ).
cnf(t5,plain,
inverse(b1) = sF0,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
sF1 = divide(inverse(b1),inverse(b1)),
introduced(definition) ).
cnf(t311,plain,
sF1 = divide(sF0,inverse(b1)),
inference(step,[status(thm)],[t2,t5]) ).
cnf(t312,plain,
sF1 = divide(sF0,sF0),
inference(step,[status(thm)],[t311,t5]) ).
cnf(t7,plain,
divide(sF0,sF0) = sF1,
inference(orient,[status(thm)],[t312]) ).
cnf(t3,axiom,
sF2 = inverse(a1),
introduced(definition) ).
cnf(t6,plain,
inverse(a1) = sF2,
inference(orient,[status(thm)],[t3]) ).
cnf(t4,axiom,
sF3 = divide(inverse(a1),inverse(a1)),
introduced(definition) ).
cnf(t313,plain,
sF3 = divide(sF2,inverse(a1)),
inference(step,[status(thm)],[t4,t6]) ).
cnf(t314,plain,
sF3 = divide(sF2,sF2),
inference(step,[status(thm)],[t313,t6]) ).
cnf(t8,plain,
divide(sF2,sF2) = sF3,
inference(orient,[status(thm)],[t314]) ).
cnf(t0,axiom,
divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t14,plain,
X1 = divide(X2,inverse(divide(X3,divide(X2,inverse(divide(divide(X3,Y3),divide(X1,Y3))))))),
inference(cp,[status(thm)],[t9,t9]) ).
cnf(t68,plain,
divide(X1,inverse(divide(X2,divide(X1,inverse(divide(divide(X2,X3),divide(Y3,X3))))))) = Y3,
inference(orient,[status(thm)],[t14]) ).
cnf(t69,plain,
X1 = divide(X1,inverse(divide(X2,X2))),
inference(cp,[status(thm)],[t68,t9]) ).
cnf(t99,plain,
divide(X1,inverse(divide(X2,X2))) = X1,
inference(orient,[status(thm)],[t69]) ).
cnf(t109,plain,
X1 = divide(X2,inverse(divide(X1,divide(X2,inverse(divide(X3,X3)))))),
inference(cp,[status(thm)],[t9,t99]) ).
cnf(t329,plain,
X1 = divide(X2,inverse(divide(X1,X2))),
inference(step,[status(thm)],[t109,t99]) ).
cnf(t219,plain,
divide(X1,inverse(divide(X2,X1))) = X2,
inference(orient,[status(thm)],[t329]) ).
cnf(t106,plain,
X1 = divide(X1,inverse(sF1)),
inference(cp,[status(thm)],[t99,t7]) ).
cnf(t111,plain,
divide(X1,inverse(sF1)) = X1,
inference(orient,[status(thm)],[t106]) ).
cnf(t231,plain,
X1 = divide(inverse(sF1),inverse(X1)),
inference(cp,[status(thm)],[t219,t111]) ).
cnf(t254,plain,
divide(inverse(sF1),inverse(X1)) = X1,
inference(orient,[status(thm)],[t231]) ).
cnf(t264,plain,
sF1 = inverse(sF1),
inference(cp,[status(thm)],[t254,t111]) ).
cnf(t276,plain,
inverse(sF1) = sF1,
inference(orient,[status(thm)],[t264]) ).
cnf(t339,plain,
divide(sF1,inverse(X1)) = X1,
inference(step,[status(thm)],[t254,t276]) ).
cnf(t279,plain,
divide(sF1,inverse(X1)) = X1,
inference(rw,[status(thm)],[t339]) ).
cnf(t283,plain,
divide(sF1,inverse(X1)) = X1,
inference(orient,[status(thm)],[t279]) ).
cnf(t107,plain,
X1 = divide(X1,inverse(sF3)),
inference(cp,[status(thm)],[t99,t8]) ).
cnf(t116,plain,
divide(X1,inverse(sF3)) = X1,
inference(orient,[status(thm)],[t107]) ).
cnf(t291,plain,
sF3 = sF1,
inference(cp,[status(thm)],[t283,t116]) ).
cnf(t302,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t291]) ).
cnf(t340,plain,
divide(sF2,sF2) = sF1,
inference(step,[status(thm)],[t8,t302]) ).
cnf(t303,plain,
divide(sF2,sF2) = sF1,
inference(orient,[status(thm)],[t340]) ).
cnf(u0,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(d0,axiom,
multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(goal_0,negated_conjecture,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(definition_unfolding,[status(thm)],[u0,d0]) ).
cnf(g0_0,plain,
divide(sF0,inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(rw,[status(thm)],[goal_0,t5]) ).
cnf(g0_1,plain,
divide(sF0,sF0) != divide(inverse(a1),inverse(a1)),
inference(rw,[status(thm)],[g0_0,t5]) ).
cnf(g0_2,plain,
sF1 != divide(inverse(a1),inverse(a1)),
inference(rw,[status(thm)],[g0_1,t7]) ).
cnf(g0_3,plain,
sF1 != divide(sF2,inverse(a1)),
inference(rw,[status(thm)],[g0_2,t6]) ).
cnf(g0_4,plain,
sF1 != divide(sF2,sF2),
inference(rw,[status(thm)],[g0_3,t6]) ).
cnf(g0_5,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_4,t303]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP557-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 15:07:25 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.07/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/1.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------