%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP417-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 01:26:18 PM UTC 2026
% Result : Unsatisfiable 6.57s 1.78s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t1,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
inference(orient,[status(thm)],[t0]) ).
cnf(t3,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,X3))),inverse(multiply(inverse(Y3),Y3)))))),
inference(cp,[status(thm)],[t1,t1]) ).
cnf(t5,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,X3))),inverse(multiply(inverse(Y3),Y3)))))),
inference(orient,[status(thm)],[t3]) ).
cnf(t17,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,inverse(X3)))),inverse(multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t5,t5]) ).
cnf(t38,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,inverse(X3)))),inverse(multiply(inverse(Y3),Y3))))),
inference(orient,[status(thm)],[t17]) ).
cnf(t18,plain,
inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X1),X1)))))) = X3,
inference(rw,[status(thm)],[t1]) ).
cnf(t11464,plain,
multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,inverse(inverse(X3))))),inverse(multiply(inverse(c3),c3))))) = X3,
inference(step,[status(thm)],[t18,t5]) ).
cnf(t19,plain,
multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,inverse(inverse(X1))))),inverse(multiply(inverse(c3),c3))))) = X1,
inference(orient,[status(thm)],[t11464]) ).
cnf(t39,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3,
inference(cp,[status(thm)],[t38,t19]) ).
cnf(t59,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3,
inference(orient,[status(thm)],[t39]) ).
cnf(t68,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(Y3),Y3))))))),inverse(multiply(inverse(X1),X1))))) = multiply(Y5,inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y5)),Y4)),inverse(multiply(inverse(Y5),Y5))))),
inference(cp,[status(thm)],[t38,t59]) ).
cnf(t73,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(Y3),Y3))))))),inverse(multiply(inverse(X1),X1))))) = multiply(Y5,inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y5)),Y4)),inverse(multiply(inverse(Y5),Y5))))),
inference(orient,[status(thm)],[t68]) ).
cnf(t80,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X3)),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(X2,Y3)),X3)),inverse(multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t73,t59]) ).
cnf(t130,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X3)),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(X2,Y3)),X3)),inverse(multiply(inverse(Y3),Y3))))),
inference(orient,[status(thm)],[t80]) ).
cnf(t136,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3)))))))),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t130,t59]) ).
cnf(t164,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3)))))))),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(orient,[status(thm)],[t136]) ).
cnf(t310,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3)))))))),inverse(multiply(inverse(X1),X1))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(rw,[status(thm)],[t164]) ).
cnf(t8988,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),inverse(multiply(inverse(X1),X1))))) = X3,
inference(rw,[status(thm)],[t59]) ).
cnf(t72,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(Y3),Y3)))))))),inverse(multiply(inverse(X1),X1))))) = inverse(multiply(Y5,inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y5)),Y4)),inverse(multiply(inverse(Y5),Y5)))))),
inference(cp,[status(thm)],[t5,t59]) ).
cnf(t11465,plain,
multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(Y3),Y3))) = inverse(multiply(Y5,inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y5)),Y4)),inverse(multiply(inverse(Y5),Y5)))))),
inference(step,[status(thm)],[t72,t59]) ).
cnf(t224,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(Y3,inverse(multiply(inverse(multiply(inverse(multiply(X2,Y3)),X3)),inverse(multiply(inverse(Y3),Y3)))))),
inference(orient,[status(thm)],[t11465]) ).
cnf(t234,plain,
X1 = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),inverse(multiply(inverse(X3),X3)))))))),
inference(cp,[status(thm)],[t59,t224]) ).
cnf(t311,plain,
multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2)))))))) = X3,
inference(orient,[status(thm)],[t234]) ).
cnf(t319,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(inverse(Y3))))),inverse(multiply(inverse(inverse(multiply(X2,X3))),inverse(multiply(X2,X3)))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(Y3),inverse(multiply(inverse(X3),X3)))))))),
inference(cp,[status(thm)],[t311,t59]) ).
cnf(t11466,plain,
inverse(inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),c3)),Y3)),inverse(multiply(inverse(c3),c3))))))) = multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(Y3),inverse(multiply(inverse(X3),X3)))))))),
inference(step,[status(thm)],[t319,t224]) ).
cnf(t394,plain,
inverse(inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),c3)),X3)),inverse(multiply(inverse(c3),c3))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))),
inference(orient,[status(thm)],[t11466]) ).
cnf(t415,plain,
X1 = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))))),
inference(cp,[status(thm)],[t311,t394]) ).
cnf(t486,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(orient,[status(thm)],[t415]) ).
cnf(t503,plain,
multiply(inverse(multiply(X1,X2)),X3) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,inverse(inverse(multiply(Y4,inverse(multiply(inverse(multiply(inverse(multiply(X1,Y4)),X3)),inverse(multiply(inverse(Y4),Y4))))))))),
inference(cp,[status(thm)],[t486,t130]) ).
cnf(t1018,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(Y3,X3)),Y4)),inverse(multiply(inverse(X3),X3))))))))) = multiply(inverse(multiply(Y3,X2)),Y4),
inference(orient,[status(thm)],[t503]) ).
cnf(t499,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),c3)),X3) = multiply(inverse(multiply(Y3,c3)),multiply(Y3,multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))))),
inference(cp,[status(thm)],[t486,t394]) ).
cnf(t589,plain,
multiply(inverse(multiply(X1,c3)),multiply(X1,multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(Y3),inverse(multiply(inverse(X3),X3)))))))))) = multiply(inverse(multiply(inverse(multiply(X2,X3)),c3)),Y3),
inference(orient,[status(thm)],[t499]) ).
cnf(t591,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),c3)),multiply(inverse(multiply(X1,X2)),X3)) = multiply(inverse(multiply(Y3,c3)),multiply(Y3,X3)),
inference(cp,[status(thm)],[t589,t311]) ).
cnf(t631,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),c3)),multiply(inverse(multiply(X1,X2)),X3)) = multiply(inverse(multiply(Y3,c3)),multiply(Y3,X3)),
inference(orient,[status(thm)],[t591]) ).
cnf(t719,plain,
multiply(inverse(multiply(X1,c3)),multiply(X1,X2)) = multiply(inverse(multiply(X3,c3)),multiply(X3,X2)),
inference(cp,[status(thm)],[t631,t631]) ).
cnf(t781,plain,
multiply(inverse(multiply(X1,c3)),multiply(X1,X2)) = multiply(inverse(multiply(X3,c3)),multiply(X3,X2)),
inference(orient,[status(thm)],[t719]) ).
cnf(t1053,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,inverse(inverse(multiply(c3,inverse(multiply(inverse(multiply(inverse(multiply(Y4,c3)),multiply(Y4,X3))),inverse(multiply(inverse(c3),c3))))))))),
inference(cp,[status(thm)],[t1018,t781]) ).
cnf(t11467,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y4,X2)),multiply(Y4,X3)),
inference(step,[status(thm)],[t1053,t1018]) ).
cnf(t1132,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(Y3,X2)),multiply(Y3,X3)),
inference(orient,[status(thm)],[t11467]) ).
cnf(t1172,plain,
X1 = multiply(X2,inverse(inverse(multiply(multiply(X3,Y3),inverse(multiply(inverse(multiply(inverse(multiply(X2,multiply(X3,Y3))),X1)),inverse(multiply(inverse(multiply(Y4,Y3)),multiply(Y4,Y3))))))))),
inference(cp,[status(thm)],[t311,t1132]) ).
cnf(t2849,plain,
multiply(X1,inverse(inverse(multiply(multiply(X2,X3),inverse(multiply(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),Y3)),inverse(multiply(inverse(multiply(Y4,X3)),multiply(Y4,X3))))))))) = Y3,
inference(orient,[status(thm)],[t1172]) ).
cnf(t2889,plain,
multiply(X1,X2) = multiply(X1,inverse(inverse(multiply(multiply(X3,Y3),inverse(multiply(inverse(multiply(inverse(multiply(Y4,multiply(X3,Y3))),multiply(Y4,X2))),inverse(multiply(inverse(multiply(Y5,Y3)),multiply(Y5,Y3))))))))),
inference(cp,[status(thm)],[t2849,t1132]) ).
cnf(t3874,plain,
multiply(X1,inverse(inverse(multiply(multiply(X2,X3),inverse(multiply(inverse(multiply(inverse(multiply(Y3,multiply(X2,X3))),multiply(Y3,Y4))),inverse(multiply(inverse(multiply(Y5,X3)),multiply(Y5,X3))))))))) = multiply(X1,Y4),
inference(orient,[status(thm)],[t2889]) ).
cnf(t3877,plain,
multiply(X1,X2) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(multiply(Y3,X2)))))),inverse(multiply(inverse(Y3),Y3))))),
inference(cp,[status(thm)],[t3874,t224]) ).
cnf(t4169,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,Y3)))))),inverse(multiply(inverse(X3),X3))))) = multiply(X1,Y3),
inference(orient,[status(thm)],[t3877]) ).
cnf(t4281,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X3)))))),inverse(multiply(inverse(X2),X2)))) = multiply(Y3,inverse(inverse(multiply(Y4,inverse(multiply(inverse(multiply(inverse(multiply(Y3,Y4)),X3)),inverse(multiply(inverse(Y4),Y4)))))))),
inference(cp,[status(thm)],[t311,t4169]) ).
cnf(t11471,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X3)))))),inverse(multiply(inverse(X2),X2)))) = X3,
inference(step,[status(thm)],[t4281,t311]) ).
cnf(t4368,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X3)))))),inverse(multiply(inverse(X2),X2)))) = X3,
inference(orient,[status(thm)],[t11471]) ).
cnf(t4516,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,inverse(inverse(multiply(X2,Y3)))))),X3)),
inference(cp,[status(thm)],[t1132,t4368]) ).
cnf(t5911,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(Y3,multiply(inverse(multiply(inverse(multiply(Y4,X2)),multiply(Y4,inverse(inverse(multiply(X2,Y3)))))),X3)),
inference(orient,[status(thm)],[t4516]) ).
cnf(t265,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3),
inference(cp,[status(thm)],[t224,t59]) ).
cnf(t358,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(inverse(X3)))))))),inverse(multiply(inverse(X2),X2))) = inverse(X3),
inference(orient,[status(thm)],[t265]) ).
cnf(t4467,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X3)))))),inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,inverse(inverse(multiply(Y4,inverse(X3))))))),inverse(multiply(inverse(Y4),Y4))),
inference(cp,[status(thm)],[t358,t4368]) ).
cnf(t11472,plain,
X3 = multiply(inverse(multiply(inverse(multiply(Y3,Y4)),multiply(Y3,inverse(inverse(multiply(Y4,inverse(X3))))))),inverse(multiply(inverse(Y4),Y4))),
inference(step,[status(thm)],[t4467,t4368]) ).
cnf(t4547,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),inverse(multiply(inverse(X2),X2))) = X3,
inference(orient,[status(thm)],[t11472]) ).
cnf(t6123,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3),
inference(cp,[status(thm)],[t5911,t4547]) ).
cnf(t6313,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3),
inference(orient,[status(thm)],[t6123]) ).
cnf(t6319,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(multiply(Y3,inverse(X2))))))),inverse(multiply(inverse(Y3),Y3)))),
inference(cp,[status(thm)],[t6313,t4547]) ).
cnf(t11477,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(step,[status(thm)],[t6319,t4547]) ).
cnf(t6690,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(orient,[status(thm)],[t11477]) ).
cnf(t6736,plain,
multiply(X1,X2) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X2),X2)))))))),
inference(cp,[status(thm)],[t311,t6690]) ).
cnf(t8036,plain,
multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X2),X2)))))))) = multiply(X1,X2),
inference(orient,[status(thm)],[t6736]) ).
cnf(t8102,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,Y3)),multiply(X3,inverse(inverse(multiply(Y3,X1)))))),inverse(multiply(inverse(Y3),Y3)))),
inference(cp,[status(thm)],[t4368,t8036]) ).
cnf(t11484,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(step,[status(thm)],[t8102,t4368]) ).
cnf(t8189,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(orient,[status(thm)],[t11484]) ).
cnf(t8215,plain,
X1 = inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(cp,[status(thm)],[t8189,t6690]) ).
cnf(t8294,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) = X1,
inference(orient,[status(thm)],[t8215]) ).
cnf(t8300,plain,
inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(X3),X3))),
inference(cp,[status(thm)],[t8294,t6690]) ).
cnf(t8384,plain,
inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = inverse(inverse(multiply(inverse(X3),X3))),
inference(orient,[status(thm)],[t8300]) ).
cnf(t8443,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(Y3,X3)),multiply(Y3,inverse(inverse(multiply(inverse(Y4),Y4)))))),inverse(multiply(inverse(X3),X3))))),
inference(cp,[status(thm)],[t59,t8384]) ).
cnf(t11485,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(Y4),Y4),
inference(step,[status(thm)],[t8443,t59]) ).
cnf(t8584,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),X3),
inference(orient,[status(thm)],[t11485]) ).
cnf(t8663,plain,
multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(Y3),Y3))))))),
inference(cp,[status(thm)],[t486,t8584]) ).
cnf(t6741,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),X3))))))),
inference(cp,[status(thm)],[t486,t6690]) ).
cnf(t7889,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))))) = inverse(multiply(inverse(X2),X2)),
inference(orient,[status(thm)],[t6741]) ).
cnf(t11486,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(X3),X3)),
inference(step,[status(thm)],[t8663,t7889]) ).
cnf(t8905,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(orient,[status(thm)],[t11486]) ).
cnf(t11496,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),multiply(inverse(c3),c3)))) = X3,
inference(step,[status(thm)],[t8988,t8905]) ).
cnf(t6776,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(Y3),Y3)),
inference(cp,[status(thm)],[t1132,t6690]) ).
cnf(t7508,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(Y3),Y3)),
inference(orient,[status(thm)],[t6776]) ).
cnf(t11497,plain,
multiply(X1,inverse(multiply(inverse(multiply(c3,multiply(X2,inverse(inverse(X3))))),multiply(c3,multiply(X2,X1))))) = X3,
inference(step,[status(thm)],[t11496,t7508]) ).
cnf(t10168,plain,
multiply(X1,inverse(multiply(inverse(multiply(c3,multiply(X2,inverse(inverse(X3))))),multiply(c3,multiply(X2,X1))))) = X3,
inference(orient,[status(thm)],[t11497]) ).
cnf(t10169,plain,
X1 = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)),
inference(cp,[status(thm)],[t10168,t8905]) ).
cnf(t10246,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1,
inference(orient,[status(thm)],[t10169]) ).
cnf(t10588,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1,
inference(rw,[status(thm)],[t10246]) ).
cnf(t8904,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))) = X1,
inference(rw,[status(thm)],[t8294]) ).
cnf(t11487,plain,
inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(X3),X3))))))) = X1,
inference(step,[status(thm)],[t8904,t8905]) ).
cnf(t11488,plain,
inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3)))))) = X1,
inference(step,[status(thm)],[t11487,t8905]) ).
cnf(t8959,plain,
multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)),
inference(cp,[status(thm)],[t6690,t8905]) ).
cnf(t9002,plain,
multiply(inverse(X1),X1) = multiply(multiply(inverse(X2),X2),multiply(inverse(X3),X3)),
inference(orient,[status(thm)],[t8959]) ).
cnf(t11489,plain,
inverse(inverse(multiply(X1,inverse(multiply(inverse(c3),c3))))) = X1,
inference(step,[status(thm)],[t11488,t9002]) ).
cnf(t11490,plain,
inverse(inverse(multiply(X1,multiply(inverse(c3),c3)))) = X1,
inference(step,[status(thm)],[t11489,t8905]) ).
cnf(t9096,plain,
inverse(inverse(multiply(X1,multiply(inverse(c3),c3)))) = X1,
inference(orient,[status(thm)],[t11490]) ).
cnf(t9105,plain,
X1 = inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))),
inference(cp,[status(thm)],[t9096,t6690]) ).
cnf(t9114,plain,
inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1,
inference(orient,[status(thm)],[t9105]) ).
cnf(t9117,plain,
inverse(multiply(inverse(X1),X2)) = inverse(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X1)))),
inference(cp,[status(thm)],[t9114,t7508]) ).
cnf(t9143,plain,
inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))) = inverse(multiply(inverse(X3),X2)),
inference(orient,[status(thm)],[t9117]) ).
cnf(t10187,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(Y3,inverse(multiply(inverse(multiply(c3,multiply(Y4,inverse(inverse(multiply(inverse(X3),X2)))))),multiply(c3,multiply(Y4,Y3))))),
inference(cp,[status(thm)],[t10168,t9143]) ).
cnf(t11498,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),X2),
inference(step,[status(thm)],[t10187,t10168]) ).
cnf(t10309,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = multiply(inverse(X3),X2),
inference(orient,[status(thm)],[t11498]) ).
cnf(t9137,plain,
multiply(inverse(X1),X1) = multiply(X2,inverse(multiply(X2,multiply(inverse(X3),X3)))),
inference(cp,[status(thm)],[t6690,t9114]) ).
cnf(t9186,plain,
multiply(inverse(X1),X1) = multiply(X2,inverse(multiply(X2,multiply(inverse(X3),X3)))),
inference(orient,[status(thm)],[t9137]) ).
cnf(t10336,plain,
multiply(inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),multiply(inverse(Y3),Y3))),
inference(cp,[status(thm)],[t10309,t9186]) ).
cnf(t11502,plain,
multiply(X1,X3) = inverse(multiply(inverse(multiply(X1,X3)),multiply(inverse(Y3),Y3))),
inference(step,[status(thm)],[t10336,t9114]) ).
cnf(t10382,plain,
inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(X3),X3))) = multiply(X1,X2),
inference(orient,[status(thm)],[t11502]) ).
cnf(t10393,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))),
inference(cp,[status(thm)],[t10382,t10246]) ).
cnf(t11503,plain,
X1 = inverse(multiply(inverse(X1),multiply(inverse(X3),X3))),
inference(step,[status(thm)],[t10393,t10246]) ).
cnf(t10443,plain,
inverse(multiply(inverse(X1),multiply(inverse(X2),X2))) = X1,
inference(orient,[status(thm)],[t11503]) ).
cnf(t10473,plain,
multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),X2))),multiply(inverse(X3),X3)) = multiply(Y3,multiply(inverse(Y3),X1)),
inference(cp,[status(thm)],[t7508,t10443]) ).
cnf(t11504,plain,
multiply(X1,multiply(inverse(X3),X3)) = multiply(Y3,multiply(inverse(Y3),X1)),
inference(step,[status(thm)],[t10473,t10443]) ).
cnf(t10491,plain,
multiply(X1,multiply(inverse(X2),X2)) = multiply(X3,multiply(inverse(X3),X1)),
inference(orient,[status(thm)],[t11504]) ).
cnf(t11505,plain,
multiply(c3,multiply(inverse(c3),inverse(inverse(X1)))) = X1,
inference(step,[status(thm)],[t10588,t10491]) ).
cnf(t10617,plain,
multiply(c3,multiply(inverse(c3),inverse(inverse(X1)))) = X1,
inference(orient,[status(thm)],[t11505]) ).
cnf(t10517,plain,
X1 = inverse(inverse(multiply(X2,multiply(inverse(X2),X1)))),
inference(cp,[status(thm)],[t9114,t10491]) ).
cnf(t10590,plain,
inverse(inverse(multiply(X1,multiply(inverse(X1),X2)))) = X2,
inference(orient,[status(thm)],[t10517]) ).
cnf(t10622,plain,
inverse(multiply(X1,multiply(inverse(X1),X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))),
inference(cp,[status(thm)],[t10617,t10590]) ).
cnf(t10704,plain,
inverse(multiply(X1,multiply(inverse(X1),X2))) = multiply(c3,multiply(inverse(c3),inverse(X2))),
inference(orient,[status(thm)],[t10622]) ).
cnf(t11501,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3,
inference(step,[status(thm)],[t10168,t10309]) ).
cnf(t10381,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3,
inference(rw,[status(thm)],[t11501]) ).
cnf(t10935,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3,
inference(orient,[status(thm)],[t10381]) ).
cnf(t10546,plain,
multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)),
inference(cp,[status(thm)],[t10491,t10491]) ).
cnf(t10739,plain,
multiply(X1,multiply(inverse(X1),X2)) = multiply(X3,multiply(inverse(X3),X2)),
inference(orient,[status(thm)],[t10546]) ).
cnf(t10740,plain,
multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2,
inference(cp,[status(thm)],[t10739,t10617]) ).
cnf(t10784,plain,
multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))) = X2,
inference(orient,[status(thm)],[t10740]) ).
cnf(t10798,plain,
multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),X2)),
inference(cp,[status(thm)],[t10309,t10784]) ).
cnf(t10875,plain,
multiply(inverse(multiply(inverse(X1),inverse(inverse(X2)))),X3) = inverse(multiply(inverse(multiply(X1,X3)),X2)),
inference(orient,[status(thm)],[t10798]) ).
cnf(t10938,plain,
X1 = multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),inverse(inverse(X1))))),X2))),
inference(cp,[status(thm)],[t10935,t10875]) ).
cnf(t11508,plain,
X1 = multiply(inverse(inverse(X2)),inverse(multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(X1))))),X2))),
inference(step,[status(thm)],[t10938,t10704]) ).
cnf(t11509,plain,
X1 = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X2))),
inference(step,[status(thm)],[t11508,t10617]) ).
cnf(t10996,plain,
multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X1))) = X2,
inference(orient,[status(thm)],[t11509]) ).
cnf(t11027,plain,
multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(inverse(X1),X2))))) = inverse(multiply(inverse(X2),X1)),
inference(cp,[status(thm)],[t10704,t10996]) ).
cnf(t11510,plain,
multiply(inverse(X1),X2) = inverse(multiply(inverse(X2),X1)),
inference(step,[status(thm)],[t11027,t10617]) ).
cnf(t11045,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(orient,[status(thm)],[t11510]) ).
cnf(t11534,plain,
multiply(X1,multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3))))))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t310,t11045]) ).
cnf(t10621,plain,
inverse(multiply(X1,multiply(inverse(X2),X2))) = multiply(c3,multiply(inverse(c3),inverse(X1))),
inference(cp,[status(thm)],[t10617,t9114]) ).
cnf(t10663,plain,
inverse(multiply(X1,multiply(inverse(X2),X2))) = multiply(c3,multiply(inverse(c3),inverse(X1))),
inference(orient,[status(thm)],[t10621]) ).
cnf(t11048,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(c3,multiply(inverse(c3),inverse(inverse(X2)))),
inference(cp,[status(thm)],[t11045,t10663]) ).
cnf(t11521,plain,
multiply(multiply(inverse(X1),X1),X2) = multiply(c3,multiply(inverse(c3),inverse(inverse(X2)))),
inference(step,[status(thm)],[t11048,t11045]) ).
cnf(t11522,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(step,[status(thm)],[t11521,t10617]) ).
cnf(t11087,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(orient,[status(thm)],[t11522]) ).
cnf(t11088,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(inverse(X2))) = X2,
inference(cp,[status(thm)],[t11087,t10784]) ).
cnf(t11524,plain,
multiply(multiply(inverse(X1),X1),inverse(inverse(X2))) = X2,
inference(step,[status(thm)],[t11088,t11045]) ).
cnf(t11525,plain,
inverse(inverse(X2)) = X2,
inference(step,[status(thm)],[t11524,t11087]) ).
cnf(t11106,plain,
inverse(inverse(X1)) = X1,
inference(orient,[status(thm)],[t11525]) ).
cnf(t11535,plain,
multiply(X1,multiply(multiply(inverse(X1),X1),multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3))))))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11534,t11106]) ).
cnf(t11536,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3)))))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11535,t11087]) ).
cnf(t11109,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(cp,[status(thm)],[t11045,t11106]) ).
cnf(t11194,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(orient,[status(thm)],[t11109]) ).
cnf(t11537,plain,
multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))),inverse(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3))))),multiply(X2,X1)))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11536,t11194]) ).
cnf(t11538,plain,
multiply(X1,inverse(multiply(inverse(multiply(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3))),multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4)))))),multiply(X2,X1)))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11537,t11194]) ).
cnf(t11539,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(inverse(inverse(multiply(X2,Y3))),inverse(multiply(X2,Y3))),multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4))))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11538,t11045]) ).
cnf(t11540,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(inverse(multiply(X3,inverse(multiply(X2,Y3)))),multiply(X3,inverse(inverse(Y4)))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11539,t11087]) ).
cnf(t11196,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(cp,[status(thm)],[t11194,t11106]) ).
cnf(t11207,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(orient,[status(thm)],[t11196]) ).
cnf(t11541,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,Y3),inverse(X3)),multiply(X3,inverse(inverse(Y4)))))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11540,t11207]) ).
cnf(t11542,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,Y3),inverse(X3)),multiply(X3,Y4)))) = multiply(Y3,inverse(multiply(inverse(Y4),inverse(multiply(inverse(Y3),Y3))))),
inference(step,[status(thm)],[t11541,t11106]) ).
cnf(t11543,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,Y3),inverse(X3)),multiply(X3,Y4)))) = multiply(Y3,multiply(inverse(inverse(multiply(inverse(Y3),Y3))),Y4)),
inference(step,[status(thm)],[t11542,t11045]) ).
cnf(t11544,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,Y3),inverse(X3)),multiply(X3,Y4)))) = multiply(Y3,multiply(multiply(inverse(Y3),Y3),Y4)),
inference(step,[status(thm)],[t11543,t11106]) ).
cnf(t11545,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,Y3),inverse(X3)),multiply(X3,Y4)))) = multiply(Y3,Y4),
inference(step,[status(thm)],[t11544,t11087]) ).
cnf(t11222,plain,
multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(multiply(multiply(X2,X3),inverse(Y3)),multiply(Y3,Y4)))) = multiply(X3,Y4),
inference(orient,[status(thm)],[t11545]) ).
cnf(t11110,plain,
X1 = multiply(multiply(X2,inverse(X2)),X1),
inference(cp,[status(thm)],[t11087,t11106]) ).
cnf(t11137,plain,
multiply(multiply(X1,inverse(X1)),X2) = X2,
inference(orient,[status(thm)],[t11110]) ).
cnf(t11233,plain,
multiply(X1,X2) = multiply(X3,multiply(inverse(X3),multiply(multiply(multiply(multiply(Y3,inverse(Y3)),X1),inverse(Y4)),multiply(Y4,X2)))),
inference(cp,[status(thm)],[t11222,t11137]) ).
cnf(t11091,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(X3,multiply(inverse(X3),X2)),
inference(cp,[status(thm)],[t11087,t10739]) ).
cnf(t11529,plain,
multiply(multiply(inverse(X1),X1),X2) = multiply(X3,multiply(inverse(X3),X2)),
inference(step,[status(thm)],[t11091,t11045]) ).
cnf(t11530,plain,
X2 = multiply(X3,multiply(inverse(X3),X2)),
inference(step,[status(thm)],[t11529,t11087]) ).
cnf(t11120,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t11530]) ).
cnf(t11550,plain,
multiply(X1,X2) = multiply(multiply(multiply(multiply(Y3,inverse(Y3)),X1),inverse(Y4)),multiply(Y4,X2)),
inference(step,[status(thm)],[t11233,t11120]) ).
cnf(t11551,plain,
multiply(X1,X2) = multiply(multiply(X1,inverse(Y4)),multiply(Y4,X2)),
inference(step,[status(thm)],[t11550,t11137]) ).
cnf(t11412,plain,
multiply(multiply(X1,inverse(X2)),multiply(X2,X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t11551]) ).
cnf(t11126,plain,
X1 = multiply(inverse(X2),multiply(X2,X1)),
inference(cp,[status(thm)],[t11120,t11106]) ).
cnf(t11164,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t11126]) ).
cnf(t11170,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(cp,[status(thm)],[t11045,t11164]) ).
cnf(t11277,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(orient,[status(thm)],[t11170]) ).
cnf(t11283,plain,
inverse(inverse(X1)) = multiply(inverse(inverse(multiply(X1,X2))),inverse(X2)),
inference(cp,[status(thm)],[t11277,t11194]) ).
cnf(t11547,plain,
X1 = multiply(inverse(inverse(multiply(X1,X2))),inverse(X2)),
inference(step,[status(thm)],[t11283,t11106]) ).
cnf(t11548,plain,
X1 = inverse(multiply(X2,inverse(multiply(X1,X2)))),
inference(step,[status(thm)],[t11547,t11194]) ).
cnf(t11549,plain,
X1 = multiply(multiply(X1,X2),inverse(X2)),
inference(step,[status(thm)],[t11548,t11207]) ).
cnf(t11315,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(orient,[status(thm)],[t11549]) ).
cnf(t11414,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(cp,[status(thm)],[t11412,t11315]) ).
cnf(t11443,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t11414]) ).
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,t11443]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP417-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.59 % Computer : n013.cluster.edu
% 0.09/0.59 % Model : x86_64 x86_64
% 0.09/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.59 % Memory : 8046.5625MB
% 0.09/0.59 % OS : Linux 6.8.0-71-generic
% 0.09/0.59 % CPULimit : 300
% 0.09/0.59 % WCLimit : 300
% 0.09/0.59 % DateTime : Wed Sep 23 14:41:51 UTC 2026
% 0.09/0.60 % CPUTime :
% 0.09/0.60 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.57/1.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.57/1.78 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------