%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP066-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:35:35 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP066-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.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 19:58:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X,Y,Z]: (divide(divide(identity,divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = Y ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X,Y]: (multiply(X,Y) = divide(X,divide(identity,Y)) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X]: (inverse(X) = divide(identity,X) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,axiom,(
% 0.13/0.41 (![X]: (identity = divide(X,X) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,negated_conjecture,(
% 0.13/0.41 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f6,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f7,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f8,plain,(
% 0.13/0.41 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f9,plain,(
% 0.13/0.41 ![X0]: (identity=divide(X0,X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.41 fof(f10,plain,(
% 0.13/0.41 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.41 fof(f11,definition,(
% 0.13/0.41 sQ0_spl <=> (multiply(inverse(a1),a1)=identity)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f13,plain,(
% 0.13/0.41 ~multiply(inverse(a1),a1)=identity|sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f11])).
% 0.13/0.41 fof(f14,definition,(
% 0.13/0.41 sQ1_spl <=> (multiply(identity,a2)=a2)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f16,plain,(
% 0.13/0.41 ~multiply(identity,a2)=a2|sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f14])).
% 0.13/0.41 fof(f17,definition,(
% 0.13/0.41 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f19,plain,(
% 0.13/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f17])).
% 0.13/0.41 fof(f20,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f10,f11,f14,f17])).
% 0.13/0.41 fof(f21,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.41 fof(f22,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.41 fof(f23,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f9,f21])).
% 0.13/0.41 fof(f24,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f8,f23])).
% 0.13/0.41 fof(f25,plain,(
% 0.13/0.41 inverse(identity)=identity),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.13/0.41 fof(f27,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f8,f22])).
% 0.13/0.41 fof(f28,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.13/0.41 fof(f29,plain,(
% 0.13/0.41 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f25,f22])).
% 0.13/0.41 fof(f32,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2)=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f22,f24])).
% 0.13/0.41 fof(f33,plain,(
% 0.13/0.41 ![X0,X1]: (divide(inverse(inverse(divide(X0,divide(inverse(identity),X1)))),X1)=X0)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f8,f24])).
% 0.13/0.41 fof(f34,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),divide(inverse(X0),X2))))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f24,f24])).
% 0.13/0.41 fof(f35,plain,(
% 0.13/0.41 ![X0,X1]: (divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1)=identity)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f8,f24])).
% 0.13/0.41 fof(f37,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2)=X3)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f24,f24])).
% 0.13/0.41 fof(f42,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2)=X1)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f32])).
% 0.13/0.41 fof(f43,plain,(
% 0.13/0.41 ![X0,X1]: (divide(multiply(identity,divide(X0,divide(inverse(identity),X1))),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f27,f33])).
% 0.13/0.41 fof(f44,plain,(
% 0.13/0.41 ![X0,X1]: (divide(multiply(identity,divide(X0,divide(identity,X1))),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f25,f43])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 ![X0,X1]: (divide(multiply(identity,divide(X0,inverse(X1))),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f8,f44])).
% 0.13/0.41 fof(f46,plain,(
% 0.13/0.41 ![X0,X1]: (divide(multiply(identity,multiply(X0,X1)),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f45])).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 ![X0,X1]: (divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1)=identity)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f35])).
% 0.13/0.41 fof(f58,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,inverse(X0))=inverse(multiply(identity,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f27,f27])).
% 0.13/0.41 fof(f95,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=multiply(identity,multiply(X1,multiply(inverse(X0),X2))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f46,f42])).
% 0.13/0.41 fof(f106,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(inverse(X1),divide(inverse(X0),X2)))),X2)=inverse(divide(X1,identity)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f9,f34])).
% 0.13/0.41 fof(f132,plain,(
% 0.13/0.41 ![X0]: (inverse(X0)=inverse(divide(X0,identity)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f24,f106])).
% 0.13/0.41 fof(f146,plain,(
% 0.13/0.41 ![X0]: (inverse(multiply(identity,multiply(X0,identity)))=inverse(X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f46,f132])).
% 0.13/0.41 fof(f147,plain,(
% 0.13/0.41 ![X0,X1]: (inverse(inverse(divide(X0,divide(X1,divide(inverse(X0),identity)))))=inverse(X1))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f24,f132])).
% 0.13/0.41 fof(f155,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,divide(X1,identity))=divide(X0,inverse(X1)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f132,f22])).
% 0.13/0.41 fof(f156,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,inverse(multiply(X0,identity)))=inverse(X0))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f58,f146])).
% 0.13/0.41 fof(f157,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,inverse(divide(X0,identity)))=inverse(X0))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f29,f156])).
% 0.13/0.41 fof(f159,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,inverse(X0))=inverse(X0))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f132,f157])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,divide(X0,divide(X1,divide(inverse(X0),identity))))=inverse(X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f27,f147])).
% 0.13/0.41 fof(f171,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(X0,divide(X1,identity))=multiply(X0,X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f155])).
% 0.13/0.41 fof(f182,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),X2)),X1)=inverse(divide(X3,divide(X2,divide(inverse(X3),identity)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f47,f34])).
% 0.13/0.41 fof(f183,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),divide(X2,identity))),X1)=X2)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f47,f24])).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,multiply(identity,X0))=inverse(inverse(X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f27,f159])).
% 0.13/0.41 fof(f213,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,multiply(identity,X0))=multiply(identity,X0))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f27,f208])).
% 0.13/0.41 fof(f227,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(divide(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1)),divide(X4,X3))),X2)=X4)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f24,f37])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2)=multiply(identity,multiply(X3,X1)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f46,f37])).
% 0.13/0.41 fof(f237,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2)=inverse(divide(X4,divide(X3,divide(inverse(X4),X1)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f24,f37])).
% 0.13/0.41 fof(f240,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),identity)),X2)=X1)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f9,f37])).
% 0.13/0.41 fof(f243,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(divide(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1)),X4)),X2)=inverse(divide(X5,divide(X4,divide(inverse(X5),X3)))))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f37,f34])).
% 0.13/0.41 fof(f278,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),X2)),X1)=multiply(identity,multiply(X2,identity)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f281,f182])).
% 0.13/0.41 fof(f281,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(identity,multiply(X0,X1))=inverse(divide(X2,divide(X0,divide(inverse(X2),X1)))))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f234,f237])).
% 0.13/0.41 fof(f287,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(identity,X0))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f288,f213])).
% 0.13/0.41 fof(f288,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,multiply(identity,X0))=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f234,f240])).
% 0.13/0.41 fof(f289,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,multiply(divide(X0,X1),X1))=X0)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f290,f227])).
% 0.13/0.41 fof(f290,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(divide(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1)),X4)),X2)=multiply(identity,multiply(X4,X3)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f281,f243])).
% 0.13/0.41 fof(f298,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),X2)),X1)=multiply(identity,divide(X2,identity)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f29,f278])).
% 0.13/0.41 fof(f299,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,divide(X0,identity))=X0)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f300,f183])).
% 0.13/0.41 fof(f300,plain,(
% 0.13/0.41 ![X0,X1,X2]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),X2)),X1)=multiply(identity,X2))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f171,f298])).
% 0.13/0.41 fof(f306,plain,(
% 0.13/0.41 ![X0]: (X0=inverse(inverse(X0)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f287,f27])).
% 0.13/0.41 fof(f309,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,divide(X1,divide(inverse(X0),identity)))=inverse(X1))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f287,f160])).
% 0.13/0.41 fof(f316,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(inverse(divide(X0,X1)),X2)=multiply(X1,multiply(inverse(X0),X2)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f287,f95])).
% 0.13/0.41 fof(f337,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f287,f289])).
% 0.13/0.41 fof(f348,plain,(
% 0.13/0.41 ![X0]: (divide(X0,identity)=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f287,f299])).
% 0.13/0.41 fof(f352,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,divide(X1,inverse(X0)))=inverse(X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f348,f309])).
% 0.13/0.41 fof(f354,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f352])).
% 0.13/0.41 fof(f634,plain,(
% 0.13/0.41 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f337,f354])).
% 0.13/0.41 fof(f671,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=multiply(X0,multiply(inverse(X1),X2)))),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f634,f316])).
% 0.13/0.41 fof(f1119,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f306,f671])).
% 0.13/0.41 fof(f1148,plain,(
% 0.13/0.41 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f1150,f19])).
% 0.13/0.41 fof(f1150,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f22,f1119])).
% 0.13/0.41 fof(f1172,plain,(
% 0.13/0.41 $false|sQ2_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f1148])).
% 0.13/0.41 fof(f1173,plain,(
% 0.13/0.41 sQ2_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f1172])).
% 0.13/0.41 fof(f1174,plain,(
% 0.13/0.41 ~identity=identity|sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f28,f13])).
% 0.13/0.41 fof(f1175,plain,(
% 0.13/0.41 $false|sQ0_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f1174])).
% 0.13/0.41 fof(f1176,plain,(
% 0.13/0.41 sQ0_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f1175])).
% 0.13/0.41 fof(f1177,plain,(
% 0.13/0.41 ~a2=a2|sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f287,f16])).
% 0.13/0.41 fof(f1178,plain,(
% 0.13/0.41 $false|sQ1_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f1177])).
% 0.13/0.41 fof(f1179,plain,(
% 0.13/0.41 sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f1178])).
% 0.13/0.41 fof(f1180,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f20,f1173,f1176,f1179])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.074469 seconds
% 0.13/0.44 % CPU time: 0.317506 seconds
% 0.13/0.44 % Total memory used: 69.699 MB
% 0.13/0.44 % Net memory used: 68.789 MB
%------------------------------------------------------------------------------