%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP060-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 12:35:34 PM UTC 2026
% Result : Unsatisfiable 177.68s 28.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP060-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.47 % Computer : n016.cluster.edu
% 0.18/5.47 % Model : x86_64 x86_64
% 0.18/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.47 % Memory : 8046.5625MB
% 0.18/5.47 % OS : Linux 6.8.0-71-generic
% 0.18/5.47 % CPULimit : 300
% 0.18/5.47 % WCLimit : 300
% 0.18/5.47 % DateTime : Sun Sep 20 20:00:58 UTC 2026
% 0.18/5.47 % CPUTime :
% 0.18/5.48 % Drodi V4.1.1
% 177.68/28.00 % Refutation found
% 177.68/28.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 177.68/28.00 % SZS output start CNFRefutation for theBenchmark
% 177.68/28.00 fof(f1,axiom,(
% 177.68/28.00 (![X,Y,Z,U]: (multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(multiply(U,Y))),X))))) = U ))),
% 177.68/28.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 177.68/28.00 fof(f2,negated_conjecture,(
% 177.68/28.00 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 177.68/28.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 177.68/28.00 fof(f3,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0)))))=X3)),
% 177.68/28.00 inference(cnf_transformation,[status(thm)],[f1])).
% 177.68/28.00 fof(f4,plain,(
% 177.68/28.00 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 177.68/28.00 inference(cnf_transformation,[status(thm)],[f2])).
% 177.68/28.00 fof(f5,definition,(
% 177.68/28.00 sQ0_spl <=> (multiply(inverse(a1),a1)=multiply(inverse(b1),b1))),
% 177.68/28.00 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 177.68/28.00 fof(f7,plain,(
% 177.68/28.00 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|sQ0_spl),
% 177.68/28.00 inference(component_clause,[status(thm)],[f5])).
% 177.68/28.00 fof(f8,definition,(
% 177.68/28.00 sQ1_spl <=> (multiply(multiply(inverse(b2),b2),a2)=a2)),
% 177.68/28.00 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 177.68/28.00 fof(f10,plain,(
% 177.68/28.00 ~multiply(multiply(inverse(b2),b2),a2)=a2|sQ1_spl),
% 177.68/28.00 inference(component_clause,[status(thm)],[f8])).
% 177.68/28.00 fof(f11,definition,(
% 177.68/28.00 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 177.68/28.00 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 177.68/28.00 fof(f13,plain,(
% 177.68/28.00 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 177.68/28.00 inference(component_clause,[status(thm)],[f11])).
% 177.68/28.00 fof(f14,plain,(
% 177.68/28.00 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 177.68/28.00 inference(split_clause,[status(thm)],[f4,f5,f8,f11])).
% 177.68/28.00 fof(f16,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0)))))=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f3,f3])).
% 177.68/28.00 fof(f21,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))=multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f3,f16])).
% 177.68/28.00 fof(f22,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,multiply(X4,X0)))))=inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X6,X2))),inverse(X7))),multiply(X7,multiply(X6,X4)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f16,f16])).
% 177.68/28.00 fof(f25,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X5))),inverse(X6))),multiply(X6,X2))))=X5)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f3,f16])).
% 177.68/28.00 fof(f29,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f16,f21])).
% 177.68/28.00 fof(f63,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2))))))))=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f21,f3])).
% 177.68/28.00 fof(f132,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2)))=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f3,f63])).
% 177.68/28.00 fof(f183,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0)))))=multiply(inverse(X4),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X4)))))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f132,f3])).
% 177.68/28.00 fof(f261,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2)))=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f183,f132])).
% 177.68/28.00 fof(f267,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(multiply(X4,inverse(multiply(X5,multiply(X1,multiply(X2,X4))))),X0)))))=X5)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f183,f3])).
% 177.68/28.00 fof(f310,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(multiply(X0,multiply(X4,multiply(X2,X3)))))))),inverse(X4))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f261,f29])).
% 177.68/28.00 fof(f1481,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (X0=inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),inverse(X4))),multiply(X4,multiply(X2,X3)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f16,f22])).
% 177.68/28.00 fof(f1701,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,multiply(X0,X1))))))=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f22,f16])).
% 177.68/28.00 fof(f1763,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (X0=inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f29,f1481])).
% 177.68/28.00 fof(f1907,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,X5)))),inverse(X6))),multiply(X6,multiply(X3,X4)))),inverse(multiply(X7,X0))),X7))),X5)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f1481,f29])).
% 177.68/28.00 fof(f1920,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,X0))),X3))),X2)))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f1481,f1907])).
% 177.68/28.00 fof(f1923,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (X0=inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f310,f1763])).
% 177.68/28.00 fof(f2206,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (inverse(multiply(multiply(X0,inverse(multiply(X1,X2))),X1))=inverse(multiply(multiply(X0,inverse(multiply(X3,X2))),X3)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f1920,f1923])).
% 177.68/28.00 fof(f2254,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X0),X1),X2))=multiply(X3,multiply(multiply(inverse(X3),X1),X2)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f1923,f1920])).
% 177.68/28.00 fof(f3714,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),X0))))),X1)=X3)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f267,f1701])).
% 177.68/28.00 fof(f3768,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,X5))),X4))),inverse(X6))),multiply(X6,multiply(X0,X1))))))=multiply(multiply(X3,inverse(multiply(X7,X5))),X7))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f2206,f1701])).
% 177.68/28.00 fof(f3922,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(multiply(X1,X2))),X1)=multiply(multiply(X0,inverse(multiply(X3,X2))),X3))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f1701,f3768])).
% 177.68/28.00 fof(f4049,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3)))))=X0)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f3922,f3])).
% 177.68/28.00 fof(f4592,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))),X4))=multiply(X5,multiply(inverse(X5),X4)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f4049,f2254])).
% 177.68/28.00 fof(f4655,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4))))))),X1)=multiply(multiply(X0,inverse(X5)),X5))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f4049,f3922])).
% 177.68/28.00 fof(f4707,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),X1)))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f4592])).
% 177.68/28.00 fof(f4711,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),X1)=multiply(multiply(X0,inverse(X2)),X2))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f4655])).
% 177.68/28.00 fof(f4745,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(X0))=multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4)))))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f4049,f4707])).
% 177.68/28.00 fof(f5011,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f4745])).
% 177.68/28.00 fof(f5013,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2)))=multiply(X3,inverse(X3)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f4049,f5011])).
% 177.68/28.00 fof(f5038,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(inverse(X1))))=multiply(X1,multiply(X2,inverse(X2))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5011,f4707])).
% 177.68/28.00 fof(f5931,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),X1)=multiply(multiply(X1,inverse(X2)),X2))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5011,f4711])).
% 177.68/28.00 fof(f19781,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5,X6,X7]: (multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X6))),inverse(X2)))))),X3),X0))),X5)))),inverse(multiply(X7,inverse(X7))))=X6)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5013,f25])).
% 177.68/28.00 fof(f20036,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X1)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5013,f1763])).
% 177.68/28.00 fof(f20130,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1)=multiply(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X2))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5013,f3922])).
% 177.68/28.00 fof(f20144,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4,X5]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X0))),X2)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f5013,f1920])).
% 177.68/28.00 fof(f20183,plain,(
% 177.68/28.00 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))),inverse(multiply(X4,inverse(X4))))=X3)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f3714,f19781])).
% 177.68/28.00 fof(f20184,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=X0)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f1763,f20183])).
% 177.68/28.00 fof(f20192,plain,(
% 177.68/28.00 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(inverse(X2),X1)))))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f20036])).
% 177.68/28.00 fof(f20228,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1)=multiply(X0,X2))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f20130])).
% 177.68/28.00 fof(f20237,plain,(
% 177.68/28.00 ![X0,X1,X2]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2)))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f4049,f20144])).
% 177.68/28.00 fof(f20468,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),X1)=multiply(X1,multiply(X2,inverse(X2))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20184,f5931])).
% 177.68/28.00 fof(f20470,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),X1)=multiply(X0,multiply(X2,inverse(X2))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20184,f4711])).
% 177.68/28.00 fof(f27570,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(X0))=multiply(X1,multiply(inverse(X1),X0)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20228,f20237])).
% 177.68/28.00 fof(f28001,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=multiply(X0,multiply(X1,inverse(X1))))),
% 177.68/28.00 inference(backward_demodulation,[status(thm)],[f27570,f5038])).
% 177.68/28.00 fof(f28003,plain,(
% 177.68/28.00 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))))),
% 177.68/28.00 inference(backward_demodulation,[status(thm)],[f27570,f20192])).
% 177.68/28.00 fof(f28013,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=multiply(multiply(X0,inverse(X1)),X1))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20470,f27570])).
% 177.68/28.00 fof(f28014,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=multiply(multiply(X1,inverse(X1)),X0))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20468,f27570])).
% 177.68/28.00 fof(f28062,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,inverse(X0)))))=multiply(X1,inverse(X1)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f20184,f27570])).
% 177.68/28.00 fof(f29376,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f28003,f20228])).
% 177.68/28.00 fof(f34696,plain,(
% 177.68/28.00 ![X0,X1,X2,X3]: (multiply(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(X0)))))),X2)=X1)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f29376,f3714])).
% 177.68/28.00 fof(f34891,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(X2,inverse(inverse(inverse(X0)))))),X2)=X1)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f27570,f34696])).
% 177.68/28.00 fof(f34892,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(inverse(multiply(X0,inverse(X1))),inverse(inverse(X0)))=X1)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f20228,f34891])).
% 177.68/28.00 fof(f34915,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(multiply(X1,X0)))))=inverse(X1))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f28003,f34892])).
% 177.68/28.00 fof(f35173,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(inverse(X0),multiply(X1,inverse(X1)))=inverse(X0))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f28062,f34915])).
% 177.68/28.00 fof(f35453,plain,(
% 177.68/28.00 ![X0]: (inverse(inverse(inverse(inverse(inverse(X0)))))=inverse(X0))),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f28001,f35173])).
% 177.68/28.00 fof(f35468,plain,(
% 177.68/28.00 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f28003,f35453])).
% 177.68/28.00 fof(f35639,plain,(
% 177.68/28.00 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f28003,f35468])).
% 177.68/28.00 fof(f35657,plain,(
% 177.68/28.00 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 177.68/28.00 inference(backward_demodulation,[status(thm)],[f35639,f28014])).
% 177.68/28.00 fof(f35658,plain,(
% 177.68/28.00 ![X0,X1]: (X0=multiply(multiply(X0,inverse(X1)),X1))),
% 177.68/28.00 inference(backward_demodulation,[status(thm)],[f35639,f28013])).
% 177.68/28.00 fof(f36138,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(X1))=multiply(X0,inverse(multiply(X2,inverse(X2)))))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f35657,f29376])).
% 177.68/28.00 fof(f36339,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f20184,f36138])).
% 177.68/28.00 fof(f36411,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X0,inverse(X2)),multiply(X2,X1)))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f29376,f35658])).
% 177.68/28.00 fof(f38884,plain,(
% 177.68/28.00 ![X0]: (inverse(inverse(X0))=X0)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f35657,f36339])).
% 177.68/28.00 fof(f38924,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(inverse(X0),inverse(inverse(inverse(inverse(multiply(X0,X1))))))=X1)),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f34915,f36339])).
% 177.68/28.00 fof(f39162,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 177.68/28.00 inference(forward_demodulation,[status(thm)],[f35639,f38924])).
% 177.68/28.00 fof(f39227,plain,(
% 177.68/28.00 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f38884,f35657])).
% 177.68/28.00 fof(f41452,plain,(
% 177.68/28.00 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 177.68/28.00 inference(paramodulation,[status(thm)],[f39227,f35658])).
% 177.68/28.00 fof(f51146,plain,(
% 177.68/28.00 ![X0,X1,X2]: (multiply(multiply(X0,inverse(inverse(X1))),X2)=multiply(X0,multiply(X1,X2)))),
% 59.00/28.07 inference(paramodulation,[status(thm)],[f35658,f36411])).
% 59.00/28.07 fof(f51278,plain,(
% 59.00/28.07 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 59.00/28.07 inference(forward_demodulation,[status(thm)],[f38884,f51146])).
% 59.00/28.07 fof(f51323,plain,(
% 59.00/28.07 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 59.00/28.07 inference(backward_demodulation,[status(thm)],[f51278,f13])).
% 59.00/28.07 fof(f51396,plain,(
% 59.00/28.07 $false|sQ2_spl),
% 59.00/28.07 inference(trivial_equality_resolution,[status(thm)],[f51323])).
% 59.00/28.07 fof(f51397,plain,(
% 59.00/28.07 sQ2_spl),
% 59.00/28.07 inference(contradiction_clause,[status(thm)],[f51396])).
% 59.00/28.07 fof(f51434,plain,(
% 59.00/28.07 $false|sQ0_spl),
% 59.00/28.07 inference(forward_subsumption_resolution,[status(thm)],[f7,f41452])).
% 59.00/28.07 fof(f51435,plain,(
% 59.00/28.07 sQ0_spl),
% 59.00/28.07 inference(contradiction_clause,[status(thm)],[f51434])).
% 59.00/28.07 fof(f51436,plain,(
% 59.00/28.07 ~multiply(inverse(b2),multiply(b2,a2))=a2|sQ1_spl),
% 59.00/28.07 inference(forward_demodulation,[status(thm)],[f51278,f10])).
% 59.00/28.07 fof(f51437,plain,(
% 59.00/28.07 ~a2=a2|sQ1_spl),
% 59.00/28.07 inference(forward_demodulation,[status(thm)],[f39162,f51436])).
% 59.00/28.07 fof(f51438,plain,(
% 59.00/28.07 $false|sQ1_spl),
% 59.00/28.07 inference(trivial_equality_resolution,[status(thm)],[f51437])).
% 59.00/28.07 fof(f51439,plain,(
% 59.00/28.07 sQ1_spl),
% 59.00/28.07 inference(contradiction_clause,[status(thm)],[f51438])).
% 59.00/28.07 fof(f51440,plain,(
% 59.00/28.07 $false),
% 59.00/28.07 inference(sat_refutation,[status(thm)],[f14,f51397,f51435,f51439])).
% 59.00/28.07 % SZS output end CNFRefutation for theBenchmark.p
% 22.13/28.13 % Elapsed time: 22.641528 seconds
% 22.13/28.13 % CPU time: 178.673673 seconds
% 22.13/28.13 % Total memory used: 1.266 GB
% 22.13/28.13 % Net memory used: 1.260 GB
%------------------------------------------------------------------------------