%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 01:26:54 PM UTC 2026
% Result : Unsatisfiable 2.86s 0.75s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 4
% Syntax : Number of clauses : 83 ( 83 unt; 0 nHn; 3 RR)
% Number of literals : 83 ( 82 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
divide(X1,divide(divide(divide(divide(X2,X2),X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t3,plain,
divide(X1,divide(divide(divide(divide(X2,X2),X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t974,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
inference(step,[status(thm)],[t3,t19]) ).
cnf(t975,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(step,[status(thm)],[t974,t19]) ).
cnf(t22,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(rw,[status(thm)],[t975]) ).
cnf(t289,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(orient,[status(thm)],[t22]) ).
cnf(t301,plain,
X1 = divide(X2,inverse(divide(inverse(X2),inverse(X1)))),
inference(cp,[status(thm)],[t289,t19]) ).
cnf(t1,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t1]) ).
cnf(t973,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t7,t19]) ).
cnf(t21,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t973]) ).
cnf(t23,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t21]) ).
cnf(t976,plain,
X1 = multiply(X2,divide(inverse(X2),inverse(X1))),
inference(step,[status(thm)],[t301,t23]) ).
cnf(t977,plain,
X1 = multiply(X2,multiply(inverse(X2),X1)),
inference(step,[status(thm)],[t976,t23]) ).
cnf(t324,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t977]) ).
cnf(t25,plain,
inverse(X1) = divide(multiply(inverse(X2),X2),X1),
inference(cp,[status(thm)],[t19,t23]) ).
cnf(t36,plain,
divide(multiply(inverse(X1),X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t25]) ).
cnf(t297,plain,
X1 = inverse(divide(divide(inverse(X1),X2),divide(inverse(multiply(inverse(X3),X3)),X2))),
inference(cp,[status(thm)],[t289,t36]) ).
cnf(t20,plain,
inverse(X1) = divide(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t19,t19]) ).
cnf(t29,plain,
divide(inverse(divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t20]) ).
cnf(t31,plain,
inverse(X1) = divide(inverse(multiply(inverse(X2),X2)),X1),
inference(cp,[status(thm)],[t29,t23]) ).
cnf(t49,plain,
divide(inverse(multiply(inverse(X1),X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t31]) ).
cnf(t980,plain,
X1 = inverse(divide(divide(inverse(X1),X2),inverse(X2))),
inference(step,[status(thm)],[t297,t49]) ).
cnf(t981,plain,
X1 = inverse(multiply(divide(inverse(X1),X2),X2)),
inference(step,[status(thm)],[t980,t23]) ).
cnf(t393,plain,
inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(orient,[status(thm)],[t981]) ).
cnf(t24,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t23,t19]) ).
cnf(t26,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t24]) ).
cnf(t28,plain,
inverse(inverse(X1)) = multiply(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t26,t19]) ).
cnf(t42,plain,
multiply(inverse(divide(X1,X1)),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t28]) ).
cnf(t32,plain,
inverse(X1) = divide(inverse(inverse(divide(X2,X2))),X1),
inference(cp,[status(thm)],[t29,t19]) ).
cnf(t56,plain,
divide(inverse(inverse(divide(X1,X1))),X2) = inverse(X2),
inference(orient,[status(thm)],[t32]) ).
cnf(t66,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(inverse(inverse(divide(X2,X2))))),X1),
inference(cp,[status(thm)],[t42,t56]) ).
cnf(t186,plain,
multiply(inverse(inverse(inverse(inverse(divide(X1,X1))))),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t66]) ).
cnf(t326,plain,
X1 = inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(divide(X2,X2)))))),X1))),
inference(cp,[status(thm)],[t324,t186]) ).
cnf(t34,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(divide(X2,X2))),X1),
inference(cp,[status(thm)],[t26,t29]) ).
cnf(t68,plain,
multiply(inverse(inverse(divide(X1,X1))),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t34]) ).
cnf(t70,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(inverse(inverse(inverse(divide(X2,X2)))))),X1),
inference(cp,[status(thm)],[t68,t56]) ).
cnf(t248,plain,
multiply(inverse(inverse(inverse(inverse(inverse(divide(X1,X1)))))),X2) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t70]) ).
cnf(t978,plain,
X1 = inverse(inverse(inverse(inverse(X1)))),
inference(step,[status(thm)],[t326,t248]) ).
cnf(t346,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(orient,[status(thm)],[t978]) ).
cnf(t347,plain,
multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2),
inference(cp,[status(thm)],[t23,t346]) ).
cnf(t377,plain,
multiply(X1,inverse(inverse(inverse(X2)))) = divide(X1,X2),
inference(orient,[status(thm)],[t347]) ).
cnf(t345,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(cp,[status(thm)],[t324,t324]) ).
cnf(t359,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t345]) ).
cnf(t378,plain,
divide(inverse(inverse(X1)),X2) = multiply(X1,inverse(inverse(inverse(X2)))),
inference(cp,[status(thm)],[t377,t359]) ).
cnf(t979,plain,
divide(inverse(inverse(X1)),X2) = divide(X1,X2),
inference(step,[status(thm)],[t378,t377]) ).
cnf(t382,plain,
divide(inverse(inverse(X1)),X2) = divide(X1,X2),
inference(orient,[status(thm)],[t979]) ).
cnf(t395,plain,
inverse(X1) = inverse(multiply(divide(X1,X2),X2)),
inference(cp,[status(thm)],[t393,t382]) ).
cnf(t417,plain,
inverse(multiply(divide(X1,X2),X2)) = inverse(X1),
inference(orient,[status(thm)],[t395]) ).
cnf(t982,plain,
inverse(inverse(X1)) = X1,
inference(step,[status(thm)],[t393,t417]) ).
cnf(t443,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[t982]) ).
cnf(t444,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t443]) ).
cnf(t456,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(cp,[status(thm)],[t23,t444]) ).
cnf(t462,plain,
multiply(X1,inverse(X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t456]) ).
cnf(t440,plain,
multiply(divide(X1,X2),X2) = divide(X3,divide(divide(inverse(X1),Y3),divide(inverse(X3),Y3))),
inference(cp,[status(thm)],[t289,t417]) ).
cnf(t994,plain,
multiply(divide(X1,X2),X2) = X1,
inference(step,[status(thm)],[t440,t289]) ).
cnf(t467,plain,
multiply(divide(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t994]) ).
cnf(t468,plain,
X1 = divide(divide(X1,inverse(X2)),X2),
inference(cp,[status(thm)],[t467,t462]) ).
cnf(t995,plain,
X1 = divide(multiply(X1,X2),X2),
inference(step,[status(thm)],[t468,t23]) ).
cnf(t476,plain,
divide(multiply(X1,X2),X2) = X1,
inference(orient,[status(thm)],[t995]) ).
cnf(t360,plain,
X1 = multiply(inverse(X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t324,t359]) ).
cnf(t367,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t360]) ).
cnf(t478,plain,
inverse(X1) = divide(X2,multiply(X1,X2)),
inference(cp,[status(thm)],[t476,t367]) ).
cnf(t483,plain,
divide(X1,multiply(X2,X1)) = inverse(X2),
inference(orient,[status(thm)],[t478]) ).
cnf(t492,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(cp,[status(thm)],[t483,t467]) ).
cnf(t496,plain,
inverse(divide(X1,X2)) = divide(X2,X1),
inference(orient,[status(thm)],[t492]) ).
cnf(t502,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(cp,[status(thm)],[t462,t496]) ).
cnf(t640,plain,
divide(X1,divide(X2,X3)) = multiply(X1,divide(X3,X2)),
inference(orient,[status(thm)],[t502]) ).
cnf(t1000,plain,
multiply(X1,divide(divide(inverse(X1),X3),divide(inverse(X2),X3))) = X2,
inference(step,[status(thm)],[t289,t640]) ).
cnf(t1001,plain,
multiply(X1,multiply(divide(inverse(X1),X3),divide(X3,inverse(X2)))) = X2,
inference(step,[status(thm)],[t1000,t640]) ).
cnf(t1002,plain,
multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2,
inference(step,[status(thm)],[t1001,t23]) ).
cnf(t651,plain,
multiply(X1,multiply(divide(inverse(X1),X3),multiply(X3,X2))) = X2,
inference(rw,[status(thm)],[t1002]) ).
cnf(t896,plain,
multiply(X1,multiply(divide(inverse(X1),X2),multiply(X2,X3))) = X3,
inference(orient,[status(thm)],[t651]) ).
cnf(t923,plain,
multiply(divide(inverse(inverse(X1)),X2),multiply(X2,X3)) = multiply(X1,X3),
inference(cp,[status(thm)],[t324,t896]) ).
cnf(t1004,plain,
multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t923,t382]) ).
cnf(t931,plain,
multiply(divide(X1,X2),multiply(X2,X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t1004]) ).
cnf(t937,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(cp,[status(thm)],[t931,t476]) ).
cnf(t958,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t937]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[goal_0,t958]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 14:47:05 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.86/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/0.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------