%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 01:24:56 PM UTC 2026
% Result : Unsatisfiable 9.63s 1.86s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 2
% Syntax : Number of clauses : 142 ( 142 unt; 0 nHn; 3 RR)
% Number of literals : 142 ( 141 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 414 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t1,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = X3,
inference(orient,[status(thm)],[t0]) ).
cnf(t3,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(Y4),X3)),Y5),inverse(multiply(Y4,Y5))))),
inference(cp,[status(thm)],[t1,t1]) ).
cnf(t37,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(Y4),X3)),Y5),inverse(multiply(Y4,Y5))))),
inference(orient,[status(thm)],[t3]) ).
cnf(t44,plain,
X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))),
inference(cp,[status(thm)],[t1,t37]) ).
cnf(t90,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))) = X3,
inference(orient,[status(thm)],[t44]) ).
cnf(t92,plain,
multiply(inverse(inverse(X1)),X2) = multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),Y4),inverse(multiply(X4,Y4))))))),
inference(cp,[status(thm)],[t90,t37]) ).
cnf(t125,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X4)),Y4),inverse(multiply(X3,Y4))))))) = multiply(inverse(inverse(X2)),X4),
inference(orient,[status(thm)],[t92]) ).
cnf(t127,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(cp,[status(thm)],[t125,t1]) ).
cnf(t167,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(orient,[status(thm)],[t127]) ).
cnf(t191,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(cp,[status(thm)],[t167,t167]) ).
cnf(t222,plain,
multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(X3),multiply(X3,X2)),
inference(orient,[status(thm)],[t191]) ).
cnf(t227,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X1))),X4),inverse(multiply(inverse(X2),X4))))),
inference(cp,[status(thm)],[t1,t222]) ).
cnf(t322,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(inverse(X1),X4))))) = X3,
inference(orient,[status(thm)],[t227]) ).
cnf(t328,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(inverse(X2),multiply(multiply(inverse(Y4),multiply(Y4,X1)),X4)))))),
inference(cp,[status(thm)],[t322,t222]) ).
cnf(t774,plain,
multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(inverse(X1),multiply(multiply(inverse(X4),multiply(X4,Y4)),X3)))))) = Y4,
inference(orient,[status(thm)],[t328]) ).
cnf(t230,plain,
X1 = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(Y4,multiply(multiply(inverse(Y4),X1),X4))))))),
inference(cp,[status(thm)],[t90,t222]) ).
cnf(t684,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(X4,multiply(multiply(inverse(X4),Y4),X3))))))) = Y4,
inference(orient,[status(thm)],[t230]) ).
cnf(t795,plain,
X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(X4),multiply(X4,Y4)),inverse(multiply(Y5,multiply(multiply(inverse(Y5),Y6),Y4))))))),inverse(Y6)))),
inference(cp,[status(thm)],[t774,t684]) ).
cnf(t4119,plain,
X1 = multiply(multiply(inverse(X2),multiply(X2,X1)),inverse(multiply(Y6,inverse(Y6)))),
inference(step,[status(thm)],[t795,t684]) ).
cnf(t870,plain,
multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(orient,[status(thm)],[t4119]) ).
cnf(t902,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),inverse(multiply(inverse(X2),multiply(multiply(inverse(Y4),multiply(Y4,X1)),inverse(multiply(Y5,inverse(Y5))))))))),
inference(cp,[status(thm)],[t774,t870]) ).
cnf(t4122,plain,
X1 = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),inverse(multiply(inverse(X2),X1))))),
inference(step,[status(thm)],[t902,t870]) ).
cnf(t1440,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X1),X4))))) = X4,
inference(orient,[status(thm)],[t4122]) ).
cnf(t231,plain,
multiply(X1,X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),Y4),inverse(multiply(X1,Y4)))))),
inference(cp,[status(thm)],[t90,t222]) ).
cnf(t517,plain,
multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X4),inverse(multiply(Y4,X4)))))) = multiply(Y4,X3),
inference(orient,[status(thm)],[t231]) ).
cnf(t905,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(cp,[status(thm)],[t517,t870]) ).
cnf(t920,plain,
multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4),
inference(orient,[status(thm)],[t905]) ).
cnf(t969,plain,
X1 = multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X3),X1)),X4),inverse(multiply(X3,X4)))))))),multiply(inverse(multiply(inverse(Y4),multiply(Y4,Y5))),Y5)),
inference(cp,[status(thm)],[t90,t920]) ).
cnf(t4120,plain,
X1 = multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(Y4),multiply(Y4,Y5))),Y5)),
inference(step,[status(thm)],[t969,t90]) ).
cnf(t1003,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = X1,
inference(orient,[status(thm)],[t4120]) ).
cnf(t1050,plain,
multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)) = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(Y4),Y5),inverse(multiply(inverse(Y4),Y5))))))),
inference(cp,[status(thm)],[t125,t1003]) ).
cnf(t4123,plain,
X1 = multiply(inverse(X4),multiply(X4,multiply(X1,inverse(multiply(multiply(inverse(Y4),Y5),inverse(multiply(inverse(Y4),Y5))))))),
inference(step,[status(thm)],[t1050,t1003]) ).
cnf(t1671,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X3),X4))))))) = X2,
inference(orient,[status(thm)],[t4123]) ).
cnf(t1692,plain,
X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X4),multiply(X4,inverse(multiply(multiply(inverse(Y4),multiply(Y4,Y5)),inverse(multiply(Y6,multiply(multiply(inverse(Y6),X3),Y5))))))))))))),
inference(cp,[status(thm)],[t1671,t684]) ).
cnf(t4124,plain,
X1 = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3)))))),
inference(step,[status(thm)],[t1692,t684]) ).
cnf(t1815,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X3,inverse(X3)))))) = X2,
inference(orient,[status(thm)],[t4124]) ).
cnf(t1842,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))),
inference(cp,[status(thm)],[t870,t1815]) ).
cnf(t1914,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X3,inverse(X3)))),
inference(orient,[status(thm)],[t1842]) ).
cnf(t1924,plain,
inverse(multiply(X1,inverse(X1))) = multiply(multiply(inverse(X2),multiply(X2,inverse(multiply(X3,inverse(X3))))),inverse(multiply(X4,inverse(X4)))),
inference(cp,[status(thm)],[t870,t1914]) ).
cnf(t4125,plain,
inverse(multiply(X1,inverse(X1))) = inverse(multiply(X3,inverse(X3))),
inference(step,[status(thm)],[t1924,t870]) ).
cnf(t1998,plain,
inverse(multiply(X1,inverse(X1))) = inverse(multiply(X2,inverse(X2))),
inference(orient,[status(thm)],[t4125]) ).
cnf(t2008,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(inverse(multiply(inverse(X3),multiply(X3,X4))),X4)),
inference(cp,[status(thm)],[t1003,t1998]) ).
cnf(t4126,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(step,[status(thm)],[t2008,t1003]) ).
cnf(t2077,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t4126]) ).
cnf(t2090,plain,
multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))),
inference(cp,[status(thm)],[t1815,t2077]) ).
cnf(t2147,plain,
multiply(X1,inverse(X1)) = multiply(inverse(X2),multiply(X2,multiply(X3,inverse(X3)))),
inference(orient,[status(thm)],[t2090]) ).
cnf(t2170,plain,
inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,multiply(Y4,inverse(Y4)))))))),
inference(cp,[status(thm)],[t1440,t2147]) ).
cnf(t242,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))),
inference(cp,[status(thm)],[t222,t222]) ).
cnf(t251,plain,
multiply(inverse(X1),multiply(X1,multiply(X2,X3))) = multiply(inverse(inverse(X2)),multiply(inverse(X4),multiply(X4,X3))),
inference(orient,[status(thm)],[t242]) ).
cnf(t306,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(Y4,multiply(Y5,X3)))),Y6),inverse(multiply(inverse(Y5),Y6)))),
inference(cp,[status(thm)],[t37,t251]) ).
cnf(t4118,plain,
X3 = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(Y4,multiply(Y5,X3)))),Y6),inverse(multiply(inverse(Y5),Y6)))),
inference(step,[status(thm)],[t306,t1]) ).
cnf(t447,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,multiply(X2,X3)))),X4),inverse(multiply(inverse(X2),X4)))) = X3,
inference(orient,[status(thm)],[t4118]) ).
cnf(t950,plain,
X1 = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),inverse(multiply(inverse(X4),multiply(X4,X1))))),
inference(cp,[status(thm)],[t447,t920]) ).
cnf(t1546,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(orient,[status(thm)],[t950]) ).
cnf(t4127,plain,
inverse(inverse(X1)) = multiply(X1,multiply(Y4,inverse(Y4))),
inference(step,[status(thm)],[t2170,t1546]) ).
cnf(t2329,plain,
multiply(X1,multiply(X2,inverse(X2))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t4127]) ).
cnf(t2337,plain,
inverse(inverse(inverse(X1))) = multiply(inverse(X2),multiply(X2,inverse(X1))),
inference(cp,[status(thm)],[t2329,t222]) ).
cnf(t2431,plain,
multiply(inverse(X1),multiply(X1,inverse(X2))) = inverse(inverse(inverse(X2))),
inference(orient,[status(thm)],[t2337]) ).
cnf(t248,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),X3))),X4),inverse(multiply(X2,X4))))) = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(inverse(Y5),multiply(Y5,X3)))),Y6),inverse(multiply(Y4,Y6)))),
inference(cp,[status(thm)],[t37,t222]) ).
cnf(t4117,plain,
X3 = inverse(multiply(multiply(inverse(multiply(inverse(Y4),multiply(inverse(Y5),multiply(Y5,X3)))),Y6),inverse(multiply(Y4,Y6)))),
inference(step,[status(thm)],[t248,t1]) ).
cnf(t378,plain,
inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))) = X3,
inference(orient,[status(thm)],[t4117]) ).
cnf(t2450,plain,
inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(X1,X4)))))) = multiply(inverse(Y4),multiply(Y4,X3)),
inference(cp,[status(thm)],[t2431,t378]) ).
cnf(t4132,plain,
inverse(inverse(X3)) = multiply(inverse(Y4),multiply(Y4,X3)),
inference(step,[status(thm)],[t2450,t378]) ).
cnf(t2521,plain,
multiply(inverse(X1),multiply(X1,X2)) = inverse(inverse(X2)),
inference(orient,[status(thm)],[t4132]) ).
cnf(t2530,plain,
inverse(inverse(multiply(X1,X2))) = multiply(inverse(inverse(X1)),inverse(inverse(X2))),
inference(cp,[status(thm)],[t2521,t2521]) ).
cnf(t2563,plain,
multiply(inverse(inverse(X1)),inverse(inverse(X2))) = inverse(inverse(multiply(X1,X2))),
inference(orient,[status(thm)],[t2530]) ).
cnf(t4139,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(step,[status(thm)],[t870,t2521]) ).
cnf(t2552,plain,
multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(X3)))) = X2,
inference(rw,[status(thm)],[t4139]) ).
cnf(t2608,plain,
multiply(inverse(inverse(X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(orient,[status(thm)],[t2552]) ).
cnf(t2569,plain,
inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))),
inference(cp,[status(thm)],[t2329,t2563]) ).
cnf(t2581,plain,
multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t2569]) ).
cnf(t2612,plain,
X1 = multiply(inverse(inverse(X1)),inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))),
inference(cp,[status(thm)],[t2608,t2581]) ).
cnf(t4152,plain,
X1 = inverse(inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(X2))))))),
inference(step,[status(thm)],[t2612,t2563]) ).
cnf(t4153,plain,
X1 = inverse(inverse(inverse(inverse(X1)))),
inference(step,[status(thm)],[t4152,t2581]) ).
cnf(t2628,plain,
inverse(inverse(inverse(inverse(X1)))) = X1,
inference(orient,[status(thm)],[t4153]) ).
cnf(t2633,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(cp,[status(thm)],[t2563,t2628]) ).
cnf(t2687,plain,
inverse(inverse(multiply(inverse(inverse(X1)),X2))) = multiply(X1,inverse(inverse(X2))),
inference(orient,[status(thm)],[t2633]) ).
cnf(t2689,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = inverse(inverse(inverse(inverse(X2)))),
inference(cp,[status(thm)],[t2687,t2521]) ).
cnf(t4154,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(step,[status(thm)],[t2689,t2628]) ).
cnf(t2725,plain,
multiply(X1,inverse(inverse(multiply(inverse(X1),X2)))) = X2,
inference(orient,[status(thm)],[t4154]) ).
cnf(t2637,plain,
inverse(inverse(X1)) = multiply(X1,inverse(multiply(X2,inverse(X2)))),
inference(cp,[status(thm)],[t2608,t2628]) ).
cnf(t2658,plain,
multiply(X1,inverse(multiply(X2,inverse(X2)))) = inverse(inverse(X1)),
inference(orient,[status(thm)],[t2637]) ).
cnf(t2727,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(inverse(inverse(inverse(inverse(X2)))))),
inference(cp,[status(thm)],[t2725,t2658]) ).
cnf(t4155,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)),
inference(step,[status(thm)],[t2727,t2628]) ).
cnf(t2751,plain,
inverse(multiply(X1,inverse(X1))) = multiply(X2,inverse(X2)),
inference(orient,[status(thm)],[t4155]) ).
cnf(t2758,plain,
inverse(inverse(X1)) = multiply(multiply(X2,inverse(X2)),multiply(multiply(X3,inverse(X3)),X1)),
inference(cp,[status(thm)],[t2521,t2751]) ).
cnf(t2968,plain,
multiply(multiply(X1,inverse(X1)),multiply(multiply(X2,inverse(X2)),X3)) = inverse(inverse(X3)),
inference(orient,[status(thm)],[t2758]) ).
cnf(t4141,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(multiply(inverse(X3),multiply(X3,X4))))) = X4,
inference(step,[status(thm)],[t1546,t2521]) ).
cnf(t4142,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4,
inference(step,[status(thm)],[t4141,t2521]) ).
cnf(t2554,plain,
inverse(multiply(multiply(inverse(inverse(inverse(X2))),X2),inverse(inverse(inverse(X4))))) = X4,
inference(rw,[status(thm)],[t4142]) ).
cnf(t2648,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(inverse(X2))),X2),
inference(cp,[status(thm)],[t2077,t2628]) ).
cnf(t2908,plain,
multiply(X1,inverse(X1)) = multiply(inverse(inverse(inverse(X2))),X2),
inference(orient,[status(thm)],[t2648]) ).
cnf(t4156,plain,
inverse(multiply(multiply(c,inverse(c)),inverse(inverse(inverse(X4))))) = X4,
inference(step,[status(thm)],[t2554,t2908]) ).
cnf(t3003,plain,
inverse(multiply(multiply(c,inverse(c)),inverse(inverse(inverse(X1))))) = X1,
inference(orient,[status(thm)],[t4156]) ).
cnf(t3005,plain,
inverse(X1) = inverse(multiply(multiply(c,inverse(c)),X1)),
inference(cp,[status(thm)],[t3003,t2628]) ).
cnf(t3046,plain,
inverse(multiply(multiply(c,inverse(c)),X1)) = inverse(X1),
inference(orient,[status(thm)],[t3005]) ).
cnf(t3063,plain,
multiply(multiply(c,inverse(c)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(cp,[status(thm)],[t2628,t3046]) ).
cnf(t4157,plain,
multiply(multiply(c,inverse(c)),X1) = X1,
inference(step,[status(thm)],[t3063,t2628]) ).
cnf(t3088,plain,
multiply(multiply(c,inverse(c)),X1) = X1,
inference(orient,[status(thm)],[t4157]) ).
cnf(t3099,plain,
X1 = multiply(multiply(X2,inverse(X2)),X1),
inference(cp,[status(thm)],[t3088,t2077]) ).
cnf(t3111,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(orient,[status(thm)],[t3099]) ).
cnf(t4158,plain,
multiply(multiply(X2,inverse(X2)),X3) = inverse(inverse(X3)),
inference(step,[status(thm)],[t2968,t3111]) ).
cnf(t4159,plain,
X3 = inverse(inverse(X3)),
inference(step,[status(thm)],[t4158,t3111]) ).
cnf(t3141,plain,
X3 = inverse(inverse(X3)),
inference(rw,[status(thm)],[t4159]) ).
cnf(t3142,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t3141]) ).
cnf(t4162,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(step,[status(thm)],[t2521,t3142]) ).
cnf(t3145,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t4162]) ).
cnf(t3148,plain,
X1 = multiply(X2,multiply(inverse(X2),X1)),
inference(cp,[status(thm)],[t3145,t3142]) ).
cnf(t3266,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t3148]) ).
cnf(t3274,plain,
X1 = multiply(inverse(X2),inverse(multiply(multiply(inverse(X1),X3),inverse(multiply(X2,X3))))),
inference(cp,[status(thm)],[t1,t3266]) ).
cnf(t3428,plain,
multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(X1,X3))))) = X2,
inference(orient,[status(thm)],[t3274]) ).
cnf(t3430,plain,
X1 = multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(inverse(X1),X3),inverse(multiply(multiply(X4,inverse(X4)),X3))))),
inference(cp,[status(thm)],[t3428,t2751]) ).
cnf(t4170,plain,
X1 = inverse(multiply(multiply(inverse(X1),X3),inverse(multiply(multiply(X4,inverse(X4)),X3)))),
inference(step,[status(thm)],[t3430,t3111]) ).
cnf(t4171,plain,
X1 = inverse(multiply(multiply(inverse(X1),X3),inverse(X3))),
inference(step,[status(thm)],[t4170,t3111]) ).
cnf(t3474,plain,
inverse(multiply(multiply(inverse(X1),X2),inverse(X2))) = X1,
inference(orient,[status(thm)],[t4171]) ).
cnf(t3476,plain,
X1 = inverse(multiply(X2,inverse(multiply(X1,X2)))),
inference(cp,[status(thm)],[t3474,t3145]) ).
cnf(t3514,plain,
inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2,
inference(orient,[status(thm)],[t3476]) ).
cnf(t3517,plain,
multiply(inverse(X1),X2) = inverse(multiply(inverse(X2),X1)),
inference(cp,[status(thm)],[t3514,t3474]) ).
cnf(t3554,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t3517]) ).
cnf(t3565,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t3554,t3142]) ).
cnf(t3609,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(orient,[status(thm)],[t3565]) ).
cnf(t4179,plain,
inverse(multiply(multiply(multiply(inverse(X2),X3),inverse(multiply(X1,X3))),X1)) = X2,
inference(step,[status(thm)],[t3428,t3609]) ).
cnf(t3626,plain,
inverse(multiply(multiply(multiply(inverse(X2),X3),inverse(multiply(X1,X3))),X1)) = X2,
inference(rw,[status(thm)],[t4179]) ).
cnf(t3555,plain,
multiply(inverse(inverse(multiply(X1,inverse(X2)))),X2) = X1,
inference(cp,[status(thm)],[t3554,t3514]) ).
cnf(t4178,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(step,[status(thm)],[t3555,t3142]) ).
cnf(t3585,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(orient,[status(thm)],[t4178]) ).
cnf(t3596,plain,
multiply(X1,inverse(X2)) = inverse(multiply(X2,inverse(X1))),
inference(cp,[status(thm)],[t3514,t3585]) ).
cnf(t3627,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(orient,[status(thm)],[t3596]) ).
cnf(t3636,plain,
inverse(multiply(multiply(X1,inverse(X2)),X3)) = multiply(inverse(X3),multiply(X2,inverse(X1))),
inference(cp,[status(thm)],[t3609,t3627]) ).
cnf(t3732,plain,
inverse(multiply(multiply(X1,inverse(X2)),X3)) = multiply(inverse(X3),multiply(X2,inverse(X1))),
inference(orient,[status(thm)],[t3636]) ).
cnf(t4181,plain,
multiply(inverse(X1),multiply(multiply(X1,X3),inverse(multiply(inverse(X2),X3)))) = X2,
inference(step,[status(thm)],[t3626,t3732]) ).
cnf(t4182,plain,
multiply(inverse(X1),multiply(multiply(X1,X3),multiply(inverse(X3),X2))) = X2,
inference(step,[status(thm)],[t4181,t3554]) ).
cnf(t3994,plain,
multiply(inverse(X1),multiply(multiply(X1,X2),multiply(inverse(X2),X3))) = X3,
inference(orient,[status(thm)],[t4182]) ).
cnf(t4014,plain,
multiply(X1,X2) = multiply(inverse(X3),multiply(multiply(X3,X1),X2)),
inference(cp,[status(thm)],[t3994,t3145]) ).
cnf(t4048,plain,
multiply(inverse(X1),multiply(multiply(X1,X2),X3)) = multiply(X2,X3),
inference(orient,[status(thm)],[t4014]) ).
cnf(t4070,plain,
multiply(multiply(X1,X2),X3) = multiply(inverse(inverse(X1)),multiply(X2,X3)),
inference(cp,[status(thm)],[t4048,t3145]) ).
cnf(t4183,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(step,[status(thm)],[t4070,t3142]) ).
cnf(t4095,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t4183]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(rw,[status(thm)],[goal_0,t4095]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 13:14:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.63/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.63/1.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------