%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP303-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:36:25 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP303-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:08:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f18,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f19,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X2]: (((![X1]: (((![X4]: (((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.40 fof(f52,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.40 fof(f55,definition,(
% 0.13/0.40 sQ1_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c7|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.13/0.40 fof(f59,definition,(
% 0.13/0.40 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.13/0.40 fof(f63,definition,(
% 0.13/0.40 sQ3_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c6|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.13/0.40 fof(f67,definition,(
% 0.13/0.40 sQ4_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c5)=sk_c6|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f32,f52,f67])).
% 0.13/0.40 fof(f71,definition,(
% 0.13/0.40 sQ5_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c6|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 sQ5_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f34,f71,f55])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 sQ5_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f35,f71,f59])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 sQ5_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f36,f71,f63])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 sQ5_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f37,f71,f67])).
% 0.13/0.40 fof(f78,definition,(
% 0.13/0.40 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f79,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f78,f55])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 sQ6_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f78,f59])).
% 0.13/0.40 fof(f83,plain,(
% 0.13/0.40 sQ6_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f78,f63])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 sQ6_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f41,f78,f67])).
% 0.13/0.40 fof(f85,definition,(
% 0.13/0.40 sQ7_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c6)=sk_c7|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f42,f85,f55])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f85,f59])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f85,f63])).
% 0.13/0.40 fof(f91,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f85,f67])).
% 0.13/0.40 fof(f92,definition,(
% 0.13/0.40 sQ8_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c6|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f92])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f92,f55])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f92,f59])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f92,f63])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f92,f67])).
% 0.13/0.40 fof(f99,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c7)=sk_c5|sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.40 fof(f102,definition,(
% 0.13/0.40 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.40 fof(f105,definition,(
% 0.13/0.40 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.40 fof(f108,definition,(
% 0.13/0.40 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.40 fof(f111,definition,(
% 0.13/0.40 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f52,f99,f102,f105,f108,f111])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f112,f68])).
% 0.13/0.40 fof(f117,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ3_spl|~sQ13_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f64,f115])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 $false|~sQ3_spl|~sQ13_spl|~sQ4_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 ~sQ3_spl|~sQ13_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f118])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f109,f86])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f109,f60])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f93,f120])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f56,f121])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f126])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f127])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f33,f101])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 $false|sQ9_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f129])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sQ9_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f130])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f106,f86])).
% 0.13/0.40 fof(f136,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f60,f106])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f93,f132])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f137])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f138])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ5_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f103,f72])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f79,f140])).
% 0.13/0.40 fof(f144,plain,(
% 0.13/0.40 $false|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f143])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f144])).
% 0.13/0.40 fof(f156,definition,(
% 0.13/0.40 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f156])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f33,f28])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c1)=identity|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f79,f27])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f26,f188])).
% 0.13/0.40 fof(f209,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ5_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f72,f196])).
% 0.13/0.40 fof(f210,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ7_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f86,f196])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f79,f209])).
% 0.13/0.40 fof(f216,plain,(
% 0.13/0.40 sk_c7=sk_c5|~sQ0_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f53,f215])).
% 0.13/0.40 fof(f217,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f93,f210])).
% 0.13/0.40 fof(f218,plain,(
% 0.13/0.40 sk_c6=sk_c5|~sQ8_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f33,f217])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c1)=identity|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f216,f185])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 ~sk_c6=sk_c5|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f216,f125])).
% 0.13/0.40 fof(f227,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c6)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f216,f53])).
% 0.13/0.40 fof(f231,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c5|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f216,f79])).
% 0.13/0.40 fof(f238,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f218,f224])).
% 0.13/0.40 fof(f239,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f238])).
% 0.13/0.40 fof(f240,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f239])).
% 0.13/0.40 fof(f241,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f218,f112])).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f218,f241])).
% 0.13/0.40 fof(f243,definition,(
% 0.13/0.40 sQ22_spl <=> (sk_c6=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f243])).
% 0.13/0.40 fof(f250,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c5)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f218,f227])).
% 0.13/0.40 fof(f251,plain,(
% 0.13/0.40 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f250,f196])).
% 0.13/0.40 fof(f253,plain,(
% 0.13/0.40 sk_c5=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f27,f251])).
% 0.13/0.40 fof(f262,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f253,f26])).
% 0.13/0.40 fof(f273,plain,(
% 0.13/0.40 sk_c5=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f274,f253])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 sk_c1=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f262,f221])).
% 0.13/0.40 fof(f276,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c1,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f273,f262])).
% 0.13/0.40 fof(f281,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f273,f231])).
% 0.13/0.40 fof(f301,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c5)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f273,f242])).
% 0.13/0.40 fof(f302,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f273,f301])).
% 0.13/0.40 fof(f303,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c1)=sk_c1|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f273,f302])).
% 0.13/0.40 fof(f305,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c1|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f303,f276])).
% 0.13/0.40 fof(f311,plain,(
% 0.13/0.40 ~sk_c1=sk_c1|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f281,f305])).
% 0.13/0.40 fof(f312,plain,(
% 0.13/0.40 $false|~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f311])).
% 0.13/0.40 fof(f313,plain,(
% 0.13/0.40 ~sQ13_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f312])).
% 0.13/0.40 fof(f314,plain,(
% 0.13/0.40 $false|sQ17_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f158])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 sQ17_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f314])).
% 0.13/0.40 fof(f321,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f60,f196])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f56,f321])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f68,f196])).
% 0.13/0.40 fof(f345,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c6,sk_c6)|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f64,f343])).
% 0.13/0.40 fof(f386,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f323,f166])).
% 0.13/0.40 fof(f389,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f345,f386])).
% 0.13/0.40 fof(f393,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f389,f196])).
% 0.13/0.40 fof(f396,plain,(
% 0.13/0.40 sk_c7=identity|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f27,f393])).
% 0.13/0.40 fof(f407,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f396,f26])).
% 0.13/0.40 fof(f408,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f407,f323])).
% 0.13/0.40 fof(f409,plain,(
% 0.13/0.40 ~sk_c6=sk_c5|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f407,f54])).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 sk_c6=sk_c5|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f407,f53])).
% 0.13/0.40 fof(f419,definition,(
% 0.13/0.40 sQ23_spl <=> (sk_c5=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f421,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|sQ23_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f419])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 $false|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f245])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f426])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f408,f407])).
% 0.13/0.40 fof(f434,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c6)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f408,f60])).
% 0.13/0.40 fof(f436,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f408,f56])).
% 0.13/0.40 fof(f443,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f428,f345])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 $false|sQ23_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f443,f421])).
% 0.13/0.40 fof(f448,plain,(
% 0.13/0.40 sQ23_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f447])).
% 0.13/0.40 fof(f488,definition,(
% 0.13/0.40 sQ26_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f490,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c6|sQ26_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f488])).
% 0.13/0.40 fof(f491,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ26_spl|~sQ11_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f136,f156,f488,f105,f59])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f408,f103])).
% 0.13/0.40 fof(f494,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f408,f493])).
% 0.13/0.40 fof(f505,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c5)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f434])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c5)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f505])).
% 0.13/0.40 fof(f509,plain,(
% 0.13/0.40 inverse(sk_c3)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f436])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f494])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c6|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f515])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ10_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f516])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c5|~sQ10_spl|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f517,f506])).
% 0.13/0.40 fof(f523,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ10_spl|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f509,f519])).
% 0.13/0.40 fof(f524,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f523])).
% 0.13/0.40 fof(f525,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f524])).
% 0.13/0.40 fof(f526,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ26_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f509,f490])).
% 0.13/0.40 fof(f527,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ26_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f417,f526])).
% 0.13/0.40 fof(f528,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ26_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f527])).
% 0.13/0.40 fof(f529,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ26_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f528])).
% 0.13/0.40 fof(f531,plain,(
% 0.13/0.40 ~sQ23_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f409,f419,f63,f67,f55,f59,f52])).
% 0.13/0.40 fof(f532,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f75,f76,f77,f81,f82,f83,f84,f88,f89,f90,f91,f95,f96,f97,f98,f114,f119,f128,f131,f139,f145,f240,f313,f315,f427,f448,f491,f525,f529,f531])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.056520 seconds
% 0.13/0.42 % CPU time: 0.171090 seconds
% 0.13/0.42 % Total memory used: 102.771 MB
% 0.13/0.42 % Net memory used: 102.504 MB
%------------------------------------------------------------------------------