%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP438-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:36:38 PM UTC 2026
% Result : Unsatisfiable 131.16s 30.18s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP438-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:13:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 131.16/30.18 % Refutation found
% 131.16/30.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 131.16/30.18 % SZS output start CNFRefutation for theBenchmark
% 131.16/30.18 fof(f1,axiom,(
% 131.16/30.18 (![A,B,C,D]: (multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D ))),
% 131.16/30.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 131.16/30.18 fof(f2,negated_conjecture,(
% 131.16/30.18 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 131.16/30.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 131.16/30.18 fof(f3,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0)))))=X3)),
% 131.16/30.18 inference(cnf_transformation,[status(thm)],[f1])).
% 131.16/30.18 fof(f4,plain,(
% 131.16/30.18 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 131.16/30.18 inference(cnf_transformation,[status(thm)],[f2])).
% 131.16/30.18 fof(f5,definition,(
% 131.16/30.18 sF1_fnc=multiply(a3,b3)),
% 131.16/30.18 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 131.16/30.18 fof(f6,definition,(
% 131.16/30.18 sF0_fnc=multiply(sF1_fnc,c3)),
% 131.16/30.18 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 131.16/30.18 fof(f7,definition,(
% 131.16/30.18 sF3_fnc=multiply(b3,c3)),
% 131.16/30.18 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 131.16/30.18 fof(f8,definition,(
% 131.16/30.18 sF2_fnc=multiply(a3,sF3_fnc)),
% 131.16/30.18 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 131.16/30.18 fof(f9,plain,(
% 131.16/30.18 ~sF0_fnc=sF2_fnc),
% 131.16/30.18 inference(definition_folding,[],[f4,f8,f7,f6,f5])).
% 131.16/30.18 fof(f11,plain,(
% 131.16/30.18 ![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)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f3,f3])).
% 131.16/30.18 fof(f12,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(multiply(c3,multiply(X1,multiply(multiply(inverse(X1),inverse(sF3_fnc)),X0)))))=b3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f7,f3])).
% 131.16/30.18 fof(f13,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(multiply(c3,multiply(X1,multiply(multiply(inverse(X1),inverse(sF0_fnc)),X0)))))=sF1_fnc)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f6,f3])).
% 131.16/30.18 fof(f14,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(multiply(sF3_fnc,multiply(X1,multiply(multiply(inverse(X1),inverse(sF2_fnc)),X0)))))=a3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f8,f3])).
% 131.16/30.18 fof(f15,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(multiply(b3,multiply(X1,multiply(multiply(inverse(X1),inverse(sF1_fnc)),X0)))))=a3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f5,f3])).
% 131.16/30.18 fof(f16,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X0)))))=X4)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f3,f3])).
% 131.16/30.18 fof(f19,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(sF3_fnc)),inverse(X2))),multiply(X2,multiply(b3,X0)))))=c3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f12,f3])).
% 131.16/30.18 fof(f33,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(sF2_fnc)),inverse(X2))),multiply(X2,multiply(a3,X0)))))=sF3_fnc)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f14,f3])).
% 131.16/30.18 fof(f43,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(sF1_fnc)),inverse(X2))),multiply(X2,multiply(a3,X0)))))=b3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f15,f3])).
% 131.16/30.18 fof(f55,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(c3,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF3_fnc)),inverse(X1))),multiply(X1,sF3_fnc))))=c3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f7,f19])).
% 131.16/30.18 fof(f75,plain,(
% 131.16/30.18 ![X0]: (multiply(c3,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF3_fnc)),inverse(a3))),sF2_fnc)))=c3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f8,f55])).
% 131.16/30.18 fof(f120,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(b3,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF2_fnc)),inverse(X1))),multiply(X1,sF1_fnc))))=sF3_fnc)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f5,f33])).
% 131.16/30.18 fof(f129,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(X1,multiply(a3,inverse(X2))),multiply(X2,multiply(sF3_fnc,X0)))))=multiply(X3,multiply(multiply(inverse(X3),inverse(sF2_fnc)),inverse(X1))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f33,f3])).
% 131.16/30.18 fof(f171,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(sF3_fnc,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF1_fnc)),inverse(X1))),multiply(X1,sF2_fnc))))=b3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f8,f43])).
% 131.16/30.18 fof(f302,plain,(
% 131.16/30.18 ![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))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f3,f11])).
% 131.16/30.18 fof(f311,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(sF3_fnc)),inverse(X2))),multiply(X2,multiply(b3,X0)))))=inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(sF2_fnc)),inverse(X4))),multiply(X4,sF1_fnc))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f120,f11])).
% 131.16/30.18 fof(f321,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(a3)),inverse(X2))),multiply(X2,multiply(X3,X0)))))=inverse(multiply(b3,multiply(X4,multiply(multiply(inverse(X4),inverse(sF1_fnc)),X3)))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f15,f11])).
% 131.16/30.18 fof(f337,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(sF3_fnc,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(a3,X1))),inverse(X2))),multiply(X2,sF2_fnc))))=X1)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f8,f11])).
% 131.16/30.18 fof(f373,plain,(
% 131.16/30.18 ![X0,X1]: (c3=inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF2_fnc)),inverse(X1))),multiply(X1,sF1_fnc))))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f19,f311])).
% 131.16/30.18 fof(f528,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(sF3_fnc,inverse(multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(sF1_fnc)),inverse(X1))),multiply(X1,sF2_fnc))))=inverse(multiply(c3,multiply(X2,multiply(multiply(inverse(X2),inverse(sF0_fnc)),a3)))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f13,f337])).
% 131.16/30.18 fof(f537,plain,(
% 131.16/30.18 ![X0]: (b3=inverse(multiply(c3,multiply(X0,multiply(multiply(inverse(X0),inverse(sF0_fnc)),a3)))))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f171,f528])).
% 131.16/30.18 fof(f3844,plain,(
% 131.16/30.18 ![X0,X1,X2]: (c3=inverse(multiply(multiply(X0,inverse(multiply(multiply(X1,multiply(a3,inverse(X2))),multiply(X2,multiply(sF3_fnc,X0))))),multiply(X1,sF1_fnc))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f129,f373])).
% 131.16/30.18 fof(f5988,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f11,f302])).
% 131.16/30.18 fof(f6536,plain,(
% 131.16/30.18 ![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)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f302,f3])).
% 131.16/30.18 fof(f6602,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2)))=multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(multiply(X1,X5))),X4))))))),inverse(X2))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f16,f5988])).
% 131.16/30.18 fof(f6621,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(b3,inverse(multiply(X2,X0))),X2))),inverse(multiply(c3,multiply(X3,multiply(multiply(inverse(X3),inverse(sF0_fnc)),a3)))))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f537,f5988])).
% 131.16/30.18 fof(f6622,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4,X5]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X2,X0))),X2))),inverse(multiply(multiply(X3,inverse(multiply(multiply(X4,multiply(a3,inverse(X5))),multiply(X5,multiply(sF3_fnc,X3))))),multiply(X4,sF1_fnc))))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f3844,f5988])).
% 131.16/30.18 fof(f6816,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X0),inverse(X1)),inverse(X2)))=multiply(X3,multiply(multiply(inverse(X3),inverse(X1)),inverse(X2))))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f3,f6602])).
% 131.16/30.18 fof(f6822,plain,(
% 131.16/30.18 ![X0,X1,X2]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(b3,inverse(multiply(X2,X0))),X2))),b3)))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f537,f6621])).
% 131.16/30.18 fof(f6823,plain,(
% 131.16/30.18 ![X0,X1,X2]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(X2,X0))),X2))),c3)))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f3844,f6622])).
% 131.16/30.18 fof(f7071,plain,(
% 131.16/30.18 ![X0,X1]: (sF2_fnc=multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(c3,multiply(X1,multiply(multiply(inverse(X1),inverse(sF3_fnc)),inverse(a3)))))),c3)))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f75,f6823])).
% 131.16/30.18 fof(f11345,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2)))=X3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f3,f6536])).
% 131.16/30.18 fof(f14360,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(multiply(multiply(b3,inverse(multiply(X1,multiply(X0,multiply(X2,inverse(multiply(c3,multiply(X3,multiply(multiply(inverse(X3),inverse(sF0_fnc)),a3))))))))),X1)))=X2)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f537,f11345])).
% 131.16/30.18 fof(f14526,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(multiply(b3,inverse(multiply(X1,multiply(X0,multiply(X2,b3))))),X1)))=X2)),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f537,f14360])).
% 131.16/30.18 fof(f14589,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0)))))=multiply(b3,inverse(multiply(X1,multiply(X2,multiply(X3,b3))))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f14526,f3])).
% 131.16/30.18 fof(f16502,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2)))=X3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f14589,f14526])).
% 131.16/30.18 fof(f16803,plain,(
% 131.16/30.18 ![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))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f16502,f5988])).
% 131.16/30.18 fof(f28192,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(a3)),inverse(X3))),multiply(X3,multiply(X0,X1))))))=a3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f321,f15])).
% 131.16/30.18 fof(f28475,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(a3)),X0))),inverse(X2))))=a3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f302,f28192])).
% 131.16/30.18 fof(f28967,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(a3)),X0))))),X1)=a3)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f16803,f28475])).
% 131.16/30.18 fof(f29409,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(a3)),inverse(X2))),multiply(X2,a3))))=X0)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f28967,f3])).
% 131.16/30.18 fof(f32027,plain,(
% 131.16/30.18 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(a3)),inverse(X2))),multiply(X2,a3)))),inverse(X3)))=multiply(X4,multiply(inverse(X4),inverse(X3))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f29409,f6816])).
% 131.16/30.18 fof(f32204,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(X1)))=multiply(X2,multiply(inverse(X2),inverse(X1))))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f29409,f32027])).
% 131.16/30.18 fof(f32843,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (multiply(X0,inverse(X0))=multiply(X1,multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(a3)),inverse(X3))),multiply(X3,a3))))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f29409,f32204])).
% 131.16/30.18 fof(f33313,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 131.16/30.18 inference(forward_demodulation,[status(thm)],[f29409,f32843])).
% 131.16/30.18 fof(f33330,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(multiply(X0,multiply(multiply(inverse(X0),inverse(a3)),inverse(X1))),multiply(X1,a3))=multiply(X2,inverse(X2)))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f29409,f33313])).
% 131.16/30.18 fof(f33360,plain,(
% 131.16/30.18 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),inverse(inverse(X1))))=multiply(X1,multiply(X2,inverse(X2))))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f33313,f32204])).
% 131.16/30.18 fof(f39901,plain,(
% 131.16/30.18 ![X0,X1]: (multiply(X0,inverse(multiply(X1,inverse(X1))))=X0)),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f33330,f29409])).
% 131.16/30.18 fof(f40143,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(a3)),inverse(X3))),multiply(X3,a3)))),X0))),c3)))),
% 131.16/30.18 inference(paramodulation,[status(thm)],[f33330,f6823])).
% 131.16/30.18 fof(f40144,plain,(
% 131.16/30.18 ![X0,X1,X2,X3]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(b3,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(a3)),inverse(X3))),multiply(X3,a3)))),X0))),b3)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f33330,f6822])).
% 131.16/30.19 fof(f40145,plain,(
% 131.16/30.19 ![X0,X1,X2,X3,X4]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(a3)),inverse(X4))),multiply(X4,a3)))),X0))),inverse(X2))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f33330,f5988])).
% 131.16/30.19 fof(f40161,plain,(
% 131.16/30.19 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,multiply(multiply(inverse(X3),inverse(a3)),inverse(X4))),multiply(X4,a3)))),X0)))))=X1)),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f33330,f3])).
% 131.16/30.19 fof(f40180,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(c3,X0))),c3)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f29409,f40143])).
% 131.16/30.19 fof(f40181,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(b3,X0))),b3)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f29409,f40144])).
% 131.16/30.19 fof(f40182,plain,(
% 131.16/30.19 ![X0,X1,X2]: (inverse(X0)=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),X0))),inverse(X2))))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f29409,f40145])).
% 131.16/30.19 fof(f40192,plain,(
% 131.16/30.19 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(X1),multiply(X2,multiply(inverse(X2),X0)))))=X1)),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f29409,f40161])).
% 131.16/30.19 fof(f42573,plain,(
% 131.16/30.19 ![X0]: (sF2_fnc=inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(sF3_fnc)),inverse(a3)))))),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f40180,f7071])).
% 131.16/30.19 fof(f50561,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(X0)))=multiply(X1,multiply(inverse(X1),inverse(X0))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f39901,f40182])).
% 131.16/30.19 fof(f51012,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=multiply(X0,multiply(X1,inverse(X1))))),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f50561,f33360])).
% 131.16/30.19 fof(f51100,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,inverse(X0)))))=multiply(X1,inverse(X1)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f39901,f50561])).
% 131.16/30.19 fof(f51143,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(sF3_fnc)),inverse(a3))))))=multiply(X1,multiply(inverse(X1),sF2_fnc)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f42573,f50561])).
% 131.16/30.19 fof(f51367,plain,(
% 131.16/30.19 ![X0]: (inverse(inverse(sF2_fnc))=multiply(X0,multiply(inverse(X0),sF2_fnc)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f42573,f51143])).
% 131.16/30.19 fof(f51473,plain,(
% 131.16/30.19 ![X0,X1,X2]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(sF2_fnc,inverse(multiply(X0,inverse(inverse(sF2_fnc)))))))),inverse(X2))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f51367,f16803])).
% 131.16/30.19 fof(f51563,plain,(
% 131.16/30.19 ![X0]: (X0=inverse(multiply(sF2_fnc,inverse(multiply(X0,inverse(inverse(sF2_fnc)))))))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f40182,f51473])).
% 131.16/30.19 fof(f54111,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(X0,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1)))))))=X0)),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f51100,f39901])).
% 131.16/30.19 fof(f54483,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(multiply(sF2_fnc,inverse(multiply(X0,inverse(inverse(sF2_fnc))))))))=multiply(X1,multiply(inverse(X1),X0)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f51563,f50561])).
% 131.16/30.19 fof(f54776,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(X0))=multiply(X1,multiply(inverse(X1),X0)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f51563,f54483])).
% 131.16/30.19 fof(f54808,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0)))))=X1)),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f54776,f40192])).
% 131.16/30.19 fof(f55205,plain,(
% 131.16/30.19 ![X0,X1,X2,X3]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(X3,inverse(multiply(X0,inverse(inverse(X3)))))))),inverse(X2))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f54776,f16803])).
% 131.16/30.19 fof(f55322,plain,(
% 131.16/30.19 ![X0,X1]: (X0=inverse(multiply(X1,inverse(multiply(X0,inverse(inverse(X1)))))))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f40182,f55205])).
% 131.16/30.19 fof(f55734,plain,(
% 131.16/30.19 ![X0,X1,X2]: (multiply(inverse(inverse(multiply(X0,inverse(X0)))),inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))))=X1)),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f51100,f54808])).
% 131.16/30.19 fof(f56006,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(inverse(inverse(multiply(X0,inverse(X0)))),inverse(inverse(X1)))=X1)),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f39901,f55734])).
% 131.16/30.19 fof(f58949,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(X0,inverse(X0))=inverse(multiply(X1,inverse(X1))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f33313,f56006])).
% 131.16/30.19 fof(f59017,plain,(
% 131.16/30.19 ![X0,X1]: (inverse(inverse(inverse(inverse(X0))))=multiply(X0,inverse(multiply(X1,inverse(X1)))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f56006,f51012])).
% 131.16/30.19 fof(f59125,plain,(
% 131.16/30.19 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f39901,f59017])).
% 131.16/30.19 fof(f59126,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f59125,f54111])).
% 131.16/30.19 fof(f59546,plain,(
% 131.16/30.19 ![X0,X1,X2]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(b3,inverse(multiply(multiply(X2,inverse(X2)),X0))))),b3)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f59126,f6822])).
% 131.16/30.19 fof(f59836,plain,(
% 131.16/30.19 ![X0,X1]: (X0=inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f40181,f59546])).
% 131.16/30.19 fof(f62875,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(inverse(multiply(X0,inverse(X0))),X1)=inverse(inverse(inverse(inverse(X1)))))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f54776,f59836])).
% 131.16/30.19 fof(f63337,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(inverse(multiply(X0,inverse(X0))),X1)=X1)),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f59125,f62875])).
% 131.16/30.19 fof(f63548,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=X1)),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f58949,f63337])).
% 131.16/30.19 fof(f64280,plain,(
% 131.16/30.19 ![X0,X1,X2]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(c3,inverse(X0)),inverse(multiply(X2,inverse(X2)))))),c3)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f63337,f6823])).
% 131.16/30.19 fof(f64726,plain,(
% 131.16/30.19 ![X0,X1]: (X0=multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(c3,inverse(X0)))),c3)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f39901,f64280])).
% 131.16/30.19 fof(f64727,plain,(
% 131.16/30.19 ![X0]: (X0=inverse(inverse(X0)))),
% 131.16/30.19 inference(forward_demodulation,[status(thm)],[f40180,f64726])).
% 131.16/30.19 fof(f66084,plain,(
% 131.16/30.19 ![X0,X1]: (X0=inverse(multiply(X1,inverse(multiply(X0,X1)))))),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f64727,f55322])).
% 131.16/30.19 fof(f66085,plain,(
% 131.16/30.19 ![X0,X1]: (multiply(X0,inverse(multiply(inverse(X1),X0)))=X1)),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f64727,f54808])).
% 131.16/30.19 fof(f66086,plain,(
% 131.16/30.19 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 131.16/30.19 inference(backward_demodulation,[status(thm)],[f64727,f54776])).
% 131.16/30.19 fof(f68412,plain,(
% 131.16/30.19 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 131.16/30.19 inference(paramodulation,[status(thm)],[f64727,f66086])).
% 131.16/30.19 fof(f77358,plain,(
% 124.80/30.25 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(X1),multiply(X1,multiply(X2,X0)))))=inverse(X2))),
% 124.80/30.25 inference(paramodulation,[status(thm)],[f16502,f66084])).
% 124.80/30.25 fof(f77973,plain,(
% 124.80/30.25 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 124.80/30.25 inference(forward_demodulation,[status(thm)],[f68412,f77358])).
% 124.80/30.25 fof(f78086,plain,(
% 124.80/30.25 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 124.80/30.25 inference(paramodulation,[status(thm)],[f68412,f66085])).
% 124.80/30.25 fof(f79385,plain,(
% 124.80/30.25 ![X0]: (c3=inverse(multiply(multiply(X0,inverse(X0)),multiply(inverse(sF2_fnc),sF1_fnc))))),
% 124.80/30.25 inference(paramodulation,[status(thm)],[f78086,f373])).
% 124.80/30.25 fof(f79733,plain,(
% 124.80/30.25 c3=inverse(multiply(inverse(sF2_fnc),sF1_fnc))),
% 124.80/30.25 inference(forward_demodulation,[status(thm)],[f63548,f79385])).
% 124.80/30.25 fof(f105077,plain,(
% 124.80/30.25 multiply(sF1_fnc,c3)=inverse(inverse(sF2_fnc))),
% 124.80/30.25 inference(paramodulation,[status(thm)],[f79733,f77973])).
% 124.80/30.25 fof(f105489,plain,(
% 124.80/30.25 sF0_fnc=inverse(inverse(sF2_fnc))),
% 124.80/30.25 inference(forward_demodulation,[status(thm)],[f6,f105077])).
% 124.80/30.25 fof(f105490,plain,(
% 124.80/30.25 sF0_fnc=sF2_fnc),
% 124.80/30.25 inference(forward_demodulation,[status(thm)],[f64727,f105489])).
% 124.80/30.25 fof(f105491,plain,(
% 124.80/30.25 $false),
% 124.80/30.25 inference(forward_subsumption_resolution,[status(thm)],[f105490,f9])).
% 124.80/30.25 % SZS output end CNFRefutation for theBenchmark.p
% 27.74/30.42 % Elapsed time: 30.040210 seconds
% 27.74/30.42 % CPU time: 237.584632 seconds
% 27.74/30.42 % Total memory used: 37.919 GB
% 27.74/30.42 % Net memory used: 37.894 GB
%------------------------------------------------------------------------------