%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP079-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:35:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP079-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 19:59:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f1,axiom,(
% 0.10/0.43 (![X,Y,Z]: (double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(Y,Z),double_divide(identity,identity)),double_divide(X,Z))) = Y ))),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f2,axiom,(
% 0.10/0.43 (![X,Y]: (multiply(X,Y) = double_divide(double_divide(Y,X),identity) ))),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f3,axiom,(
% 0.10/0.43 (![X]: (inverse(X) = double_divide(X,identity) ))),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f4,axiom,(
% 0.10/0.43 (![X]: (identity = double_divide(X,inverse(X)) ))),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f5,negated_conjecture,(
% 0.10/0.43 ( multiply(inverse(a1),a1) != identity| multiply(identity,a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f6,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2)))=X1)),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.43 fof(f7,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.43 fof(f8,plain,(
% 0.10/0.43 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.43 fof(f9,plain,(
% 0.10/0.43 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.43 fof(f10,plain,(
% 0.10/0.43 ~multiply(inverse(a1),a1)=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.43 fof(f11,definition,(
% 0.10/0.43 sQ0_spl <=> (multiply(inverse(a1),a1)=identity)),
% 0.10/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.43 fof(f13,plain,(
% 0.10/0.43 ~multiply(inverse(a1),a1)=identity|sQ0_spl),
% 0.10/0.43 inference(component_clause,[status(thm)],[f11])).
% 0.10/0.43 fof(f14,definition,(
% 0.10/0.43 sQ1_spl <=> (multiply(identity,a2)=a2)),
% 0.10/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.43 fof(f16,plain,(
% 0.10/0.43 ~multiply(identity,a2)=a2|sQ1_spl),
% 0.10/0.43 inference(component_clause,[status(thm)],[f14])).
% 0.10/0.43 fof(f17,definition,(
% 0.10/0.43 sQ2_spl <=> (multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3)))),
% 0.10/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.43 fof(f19,plain,(
% 0.10/0.43 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.10/0.43 inference(component_clause,[status(thm)],[f17])).
% 0.10/0.43 fof(f20,plain,(
% 0.10/0.43 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.10/0.43 inference(split_clause,[status(thm)],[f10,f11,f14,f17])).
% 0.10/0.43 fof(f21,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2)))=X1)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.43 fof(f22,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.43 fof(f23,plain,(
% 0.10/0.43 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.10/0.43 fof(f24,plain,(
% 0.10/0.43 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f8,f22])).
% 0.10/0.43 fof(f56,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1))))=X1)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f9,f21])).
% 0.10/0.43 fof(f57,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),double_divide(X0,identity)))=X1)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f8,f21])).
% 0.10/0.43 fof(f66,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1))))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f9,f56])).
% 0.10/0.43 fof(f67,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),inverse(X0)))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f57])).
% 0.10/0.43 fof(f76,plain,(
% 0.10/0.43 ![X0]: (double_divide(inverse(identity),double_divide(identity,double_divide(identity,inverse(X0))))=X0)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f8,f66])).
% 0.10/0.43 fof(f77,plain,(
% 0.10/0.43 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,identity))=X0)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f9,f66])).
% 0.10/0.43 fof(f84,plain,(
% 0.10/0.43 ![X0]: (double_divide(double_divide(identity,X0),inverse(identity))=X0)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f77])).
% 0.10/0.43 fof(f87,plain,(
% 0.10/0.43 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f9,f84])).
% 0.10/0.43 fof(f91,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,inverse(identity)),inverse(identity)),X0))=X1)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f84,f21])).
% 0.10/0.43 fof(f92,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(X1,inverse(identity)),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f84,f21])).
% 0.10/0.43 fof(f97,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2)))=X1)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f112,f21])).
% 0.10/0.43 fof(f99,plain,(
% 0.10/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f112,f23])).
% 0.10/0.43 fof(f102,plain,(
% 0.10/0.43 ![X0]: (double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0))))=X0)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f112,f76])).
% 0.10/0.43 fof(f108,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),identity),inverse(X0)))=X1)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f112,f67])).
% 0.10/0.43 fof(f112,plain,(
% 0.10/0.43 identity=inverse(identity)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f9,f87])).
% 0.10/0.43 fof(f114,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,identity),inverse(identity)),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f91])).
% 0.10/0.43 fof(f115,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),inverse(identity)),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f114])).
% 0.10/0.43 fof(f116,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),identity),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f115])).
% 0.10/0.43 fof(f117,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(inverse(inverse(X1)),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f116])).
% 0.10/0.43 fof(f118,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(X1,identity),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f92])).
% 0.10/0.43 fof(f119,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,inverse(identity))))=double_divide(identity,X1))),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f118])).
% 0.10/0.43 fof(f120,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,identity)))=double_divide(identity,X1))),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f119])).
% 0.10/0.43 fof(f121,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(X1),inverse(X0)))=double_divide(identity,X1))),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f120])).
% 0.10/0.43 fof(f137,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2)))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f97])).
% 0.10/0.43 fof(f138,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(multiply(X1,X2),double_divide(X0,X1)))=X2)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f22,f137])).
% 0.10/0.43 fof(f153,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(inverse(inverse(X1)),inverse(X0)))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f108])).
% 0.10/0.43 fof(f154,plain,(
% 0.10/0.43 ![X0]: (double_divide(identity,double_divide(identity,X0))=X0)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f155,f102])).
% 0.10/0.43 fof(f155,plain,(
% 0.10/0.43 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f121,f153])).
% 0.10/0.43 fof(f168,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(X0,double_divide(inverse(inverse(X1)),X0))=X1)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f154,f117])).
% 0.10/0.43 fof(f212,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(identity,multiply(X0,X1))=double_divide(X1,X0))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f22,f155])).
% 0.10/0.43 fof(f227,plain,(
% 0.10/0.43 ![X0]: (double_divide(identity,X0)=inverse(X0))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f155,f154])).
% 0.10/0.43 fof(f230,plain,(
% 0.10/0.43 ![X0]: (double_divide(double_divide(identity,identity),inverse(X0))=X0)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f154,f66])).
% 0.10/0.43 fof(f233,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(identity,identity),double_divide(multiply(double_divide(identity,X0),X1),X0))=X1)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f154,f138])).
% 0.10/0.43 fof(f239,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(X1,X2),double_divide(X0,X1)))=X2)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f227,f138])).
% 0.10/0.43 fof(f240,plain,(
% 0.10/0.43 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f227,f212])).
% 0.10/0.43 fof(f256,plain,(
% 0.10/0.43 ![X0]: (double_divide(inverse(identity),inverse(X0))=X0)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f230])).
% 0.10/0.43 fof(f257,plain,(
% 0.10/0.43 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f256])).
% 0.10/0.43 fof(f258,plain,(
% 0.10/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f260,f24])).
% 0.10/0.43 fof(f259,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 0.10/0.43 inference(backward_demodulation,[status(thm)],[f260,f168])).
% 0.10/0.43 fof(f260,plain,(
% 0.10/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f227,f257])).
% 0.10/0.43 fof(f265,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(inverse(identity),double_divide(multiply(double_divide(identity,X0),X1),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f8,f233])).
% 0.10/0.43 fof(f266,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(identity,double_divide(multiply(double_divide(identity,X0),X1),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f112,f265])).
% 0.10/0.43 fof(f267,plain,(
% 0.10/0.43 ![X0,X1]: (inverse(double_divide(multiply(double_divide(identity,X0),X1),X0))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f227,f266])).
% 0.10/0.43 fof(f268,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,multiply(double_divide(identity,X0),X1))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f22,f267])).
% 0.10/0.43 fof(f269,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f227,f268])).
% 0.10/0.43 fof(f364,plain,(
% 0.10/0.43 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f259,f259])).
% 0.10/0.43 fof(f370,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f259,f22])).
% 0.10/0.43 fof(f451,plain,(
% 0.10/0.43 ![X0,X1,X2]: (double_divide(X0,inverse(X1))=double_divide(multiply(X2,X0),double_divide(X1,X2)))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f239,f364])).
% 0.10/0.43 fof(f464,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f364,f22])).
% 0.10/0.43 fof(f512,plain,(
% 0.10/0.43 ![X0,X1]: (inverse(X0)=double_divide(multiply(inverse(X1),X0),X1))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f269,f240])).
% 0.10/0.43 fof(f641,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(X0,inverse(X1))=double_divide(inverse(X0),X1))),
% 0.10/0.43 inference(paramodulation,[status(thm)],[f464,f269])).
% 0.10/0.43 fof(f685,plain,(
% 0.10/0.43 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f512,f370])).
% 0.10/0.44 fof(f708,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(inverse(X0),X1)=double_divide(multiply(X2,X0),double_divide(X1,X2)))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f710,f451])).
% 0.10/0.44 fof(f710,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f240,f685])).
% 0.10/0.44 fof(f1359,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,X1)),X2)=double_divide(inverse(X1),double_divide(X2,X0)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f464,f708])).
% 0.10/0.44 fof(f1397,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=double_divide(inverse(X0),double_divide(X2,X1)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f22,f1359])).
% 0.10/0.44 fof(f1398,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,inverse(double_divide(X2,X1))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f641,f1397])).
% 0.10/0.44 fof(f1399,plain,(
% 0.10/0.44 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))|sQ2_spl),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f1419,f19])).
% 0.10/0.44 fof(f1419,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f22,f1398])).
% 0.10/0.44 fof(f1509,plain,(
% 0.10/0.44 $false|sQ2_spl),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f1399])).
% 0.10/0.44 fof(f1510,plain,(
% 0.10/0.44 sQ2_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f1509])).
% 0.10/0.44 fof(f1591,plain,(
% 0.10/0.44 ~identity=identity|sQ0_spl),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f99,f13])).
% 0.10/0.44 fof(f1592,plain,(
% 0.10/0.44 $false|sQ0_spl),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f1591])).
% 0.10/0.44 fof(f1593,plain,(
% 0.10/0.44 sQ0_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f1592])).
% 0.10/0.44 fof(f1594,plain,(
% 0.10/0.44 ~a2=a2|sQ1_spl),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f258,f16])).
% 0.10/0.44 fof(f1595,plain,(
% 0.10/0.44 $false|sQ1_spl),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f1594])).
% 0.10/0.44 fof(f1596,plain,(
% 0.10/0.44 sQ1_spl),
% 0.10/0.44 inference(contradiction_clause,[status(thm)],[f1595])).
% 0.10/0.44 fof(f1597,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(sat_refutation,[status(thm)],[f20,f1510,f1593,f1596])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.088026 seconds
% 0.10/0.46 % CPU time: 0.405930 seconds
% 0.10/0.46 % Total memory used: 74.117 MB
% 0.10/0.46 % Net memory used: 73.286 MB
%------------------------------------------------------------------------------