%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP326-1 : 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 : n014.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 12:36:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP326-1 : 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 : n014.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 20:09:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % 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_c6,sk_c7) = sk_c5 ),
% 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_c1,sk_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 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_c1,sk_c6) = sk_c7| multiply(sk_c7,sk_c5) = 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_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 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_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c3) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c3) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c3) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c3) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c3| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c3| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c3| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c3| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 (![X2,X3,X4,X1]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7| inverse(sk_c6) != sk_c5| multiply(sk_c7,sk_c5) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c3|inverse(sk_c6)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c3|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c3|inverse(sk_c4)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c3|multiply(sk_c4,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 ![X1]: (((((![X4]: ((![X3]: (((![X2]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6))|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7))|~inverse(sk_c6)=sk_c5)|~multiply(sk_c7,sk_c5)=sk_c6)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X1|~inverse(X2)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(sk_c7,sk_c5)=sk_c6|~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.39 fof(f52,definition,(
% 0.13/0.39 sQ0_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.39 fof(f55,definition,(
% 0.13/0.39 sQ1_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 inverse(sk_c6)=sk_c5|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 ~inverse(sk_c6)=sk_c5|sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.13/0.39 fof(f59,definition,(
% 0.13/0.39 sQ2_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c5)=sk_c6|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c5)=sk_c6|sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.13/0.39 fof(f63,definition,(
% 0.13/0.39 sQ3_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c7|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.13/0.39 fof(f67,definition,(
% 0.13/0.39 sQ4_spl <=> (multiply(sk_c4,sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c6)=sk_c7|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.13/0.39 fof(f71,definition,(
% 0.13/0.39 sQ5_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c6|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 sQ5_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f34,f71,f55])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 sQ5_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f35,f71,f59])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 sQ5_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f36,f71,f63])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 sQ5_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f37,f71,f67])).
% 0.13/0.39 fof(f78,definition,(
% 0.13/0.39 sQ6_spl <=> (multiply(sk_c7,sk_c3)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c6|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 sQ6_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f38,f78,f55])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 sQ6_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f78,f59])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 sQ6_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f78,f63])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 sQ6_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f78,f67])).
% 0.13/0.39 fof(f85,definition,(
% 0.13/0.39 sQ7_spl <=> (multiply(sk_c2,sk_c7)=sk_c3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c3|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f85,f55])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f85,f59])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 sQ7_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f85,f63])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 sQ7_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f85,f67])).
% 0.13/0.39 fof(f92,definition,(
% 0.13/0.39 sQ8_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f92])).
% 0.13/0.39 fof(f95,plain,(
% 0.13/0.39 sQ8_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f92,f55])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f92,f59])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 sQ8_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f92,f63])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 sQ8_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f92,f67])).
% 0.13/0.39 fof(f99,definition,(
% 0.13/0.39 sQ9_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.39 fof(f102,definition,(
% 0.13/0.39 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f103,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.39 fof(f105,definition,(
% 0.13/0.39 ![X1,X2]: (sQ11_spl <=> (~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X1|~inverse(X2)=sk_c7))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.39 fof(f108,definition,(
% 0.13/0.39 ![X3]: (sQ12_spl <=> (~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 ~sQ9_spl|sQ10_spl|sQ11_spl|~sQ1_spl|~sQ2_spl|sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f99,f102,f105,f55,f59,f108])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f109,f53])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f109,f68])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ~sk_c6=sk_c7|~sQ5_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f72,f112])).
% 0.13/0.39 fof(f117,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f64,f113])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 $false|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f118])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f106])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 ~sk_c5=sk_c5|sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f29,f101])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 $false|sQ9_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f121])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 sQ9_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f122])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 ~inverse(sk_c1)=sk_c6|~sQ10_spl|~sQ0_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f103,f53])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|~inverse(sk_c4)=sk_c6|~sQ10_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f68,f103])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 ~sk_c6=sk_c6|~sQ5_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f72,f124])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 $false|~sQ5_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f128])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 ~sQ5_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f129])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f29,f28])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c3)=sk_c6|~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f120])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c6)=sk_c7|~sQ11_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f29,f120])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 ~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f140,f78,f92,f105,f85])).
% 0.13/0.39 fof(f143,definition,(
% 0.13/0.39 sQ13_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ~inverse(sk_c6)=sk_c7|sQ13_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f143])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ13_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f141,f59,f143,f105])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ~sk_c5=sk_c7|~sQ1_spl|sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f56,f145])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~sQ4_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f68,f28])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(identity)=sk_c7|~sQ11_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f26,f120])).
% 0.13/0.39 fof(f151,definition,(
% 0.13/0.39 sQ14_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ~multiply(sk_c7,sk_c7)=sk_c6|sQ14_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.39 fof(f154,definition,(
% 0.13/0.39 sQ15_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c7|sQ15_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f154])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 ~sQ14_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f149,f151,f154,f105])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c4)=identity|~sQ3_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f64,f27])).
% 0.13/0.39 fof(f159,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=identity|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f56,f27])).
% 0.13/0.39 fof(f160,plain,(
% 0.13/0.39 ~multiply(sk_c7,identity)=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~sQ11_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f27,f120])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.13/0.39 fof(f162,definition,(
% 0.13/0.39 sQ16_spl <=> (multiply(sk_c7,identity)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f165,definition,(
% 0.13/0.39 sQ17_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f167,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c7|sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.39 fof(f168,plain,(
% 0.13/0.39 ~sQ16_spl|~sQ17_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f160,f162,f165,f105])).
% 0.13/0.39 fof(f169,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f26,f161])).
% 0.13/0.39 fof(f170,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~sQ3_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f158,f28])).
% 0.13/0.39 fof(f171,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~sQ3_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f26,f170])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f68,f169])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c6),sk_c5)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f29,f169])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f64,f180])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 $false|sQ14_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f188,f153])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 sQ14_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f189])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c5,sk_c5)|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f56,f186])).
% 0.13/0.39 fof(f193,definition,(
% 0.13/0.39 sQ18_spl <=> (sk_c7=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|sQ18_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.39 fof(f198,definition,(
% 0.13/0.39 sQ19_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c6|sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 ~sQ18_spl|~sQ19_spl|~sQ10_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f127,f193,f198,f102,f67])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 $false|sQ18_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f195])).
% 0.13/0.39 fof(f203,plain,(
% 0.13/0.39 sQ18_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f202])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 ~sk_c7=sk_c6|~sQ3_spl|sQ19_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f64,f200])).
% 0.13/0.39 fof(f219,definition,(
% 0.13/0.39 sQ20_spl <=> (identity=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f221,plain,(
% 0.13/0.39 ~identity=sk_c7|sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f219])).
% 0.13/0.39 fof(f226,definition,(
% 0.13/0.39 sQ22_spl <=> (sk_c6=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f228,plain,(
% 0.13/0.39 ~sk_c6=sk_c7|sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f226])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c7)=multiply(sk_c4,sk_c5)|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f29,f148])).
% 0.13/0.39 fof(f271,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c4,sk_c5)|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f188,f267])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 sk_c5=multiply(sk_c7,sk_c6)|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f271,f171])).
% 0.13/0.39 fof(f279,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=multiply(sk_c6,sk_c5)|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f275,f136])).
% 0.13/0.39 fof(f283,plain,(
% 0.13/0.39 identity=multiply(sk_c6,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f159,f279])).
% 0.13/0.39 fof(f284,definition,(
% 0.13/0.39 sQ26_spl <=> (sk_c5=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f286,plain,(
% 0.13/0.39 ~sk_c5=sk_c7|sQ26_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f284])).
% 0.13/0.39 fof(f291,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c5)=multiply(sk_c4,identity)|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f283,f148])).
% 0.13/0.39 fof(f294,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c4,identity)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f60,f291])).
% 0.13/0.39 fof(f297,plain,(
% 0.13/0.39 identity=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f294,f171])).
% 0.13/0.39 fof(f300,plain,(
% 0.13/0.39 identity=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f275,f297])).
% 0.13/0.39 fof(f311,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f300,f26])).
% 0.13/0.39 fof(f312,plain,(
% 0.13/0.39 sk_c7=sk_c5|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f311,f191])).
% 0.13/0.39 fof(f318,plain,(
% 0.13/0.39 $false|sQ26_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f312,f286])).
% 0.13/0.39 fof(f319,plain,(
% 0.13/0.39 sQ26_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f318])).
% 0.13/0.39 fof(f320,plain,(
% 0.13/0.39 ~sQ26_spl|~sQ1_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f147,f284,f55,f143])).
% 0.13/0.39 fof(f334,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f53,f169])).
% 0.13/0.39 fof(f336,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f72,f334])).
% 0.13/0.39 fof(f337,plain,(
% 0.13/0.39 sk_c6=sk_c5|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f29,f336])).
% 0.13/0.39 fof(f340,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c5|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f337,f57])).
% 0.13/0.39 fof(f345,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c3)=sk_c5|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f337,f79])).
% 0.13/0.39 fof(f346,plain,(
% 0.13/0.39 ~sk_c5=sk_c7|~sQ5_spl|~sQ0_spl|sQ22_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f337,f228])).
% 0.13/0.39 fof(f348,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c7)=sk_c5|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f337,f29])).
% 0.13/0.39 fof(f371,plain,(
% 0.13/0.39 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f348,f169])).
% 0.13/0.39 fof(f373,plain,(
% 0.13/0.39 sk_c7=identity|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f27,f371])).
% 0.13/0.39 fof(f374,plain,(
% 0.13/0.39 $false|sQ20_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f373,f221])).
% 0.13/0.39 fof(f375,plain,(
% 0.13/0.39 sQ20_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f374])).
% 0.13/0.39 fof(f379,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ5_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f373,f27])).
% 0.13/0.39 fof(f380,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ5_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f373,f26])).
% 0.13/0.39 fof(f381,plain,(
% 0.13/0.39 ~inverse(sk_c7)=sk_c7|~sQ5_spl|~sQ0_spl|sQ15_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f373,f156])).
% 0.13/0.39 fof(f383,plain,(
% 0.13/0.39 sk_c3=sk_c5|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f380,f345])).
% 0.13/0.39 fof(f392,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f383,f340])).
% 0.13/0.39 fof(f394,plain,(
% 0.13/0.39 ~sk_c3=sk_c7|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ22_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f383,f346])).
% 0.13/0.39 fof(f395,plain,(
% 0.13/0.39 sk_c6=sk_c3|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f383,f337])).
% 0.13/0.39 fof(f398,plain,(
% 0.13/0.39 ~inverse(sk_c3)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f383,f392])).
% 0.13/0.39 fof(f399,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c2)=sk_c7|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f93,f379])).
% 0.13/0.39 fof(f402,plain,(
% 0.13/0.39 sk_c2=sk_c7|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f380,f399])).
% 0.13/0.39 fof(f406,plain,(
% 0.13/0.39 ~sk_c3=sk_c2|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ22_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f402,f394])).
% 0.13/0.39 fof(f409,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ8_spl|~sQ5_spl|~sQ0_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f402,f380])).
% 0.13/0.39 fof(f411,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c2|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f402,f167])).
% 0.13/0.39 fof(f412,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c2|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f402,f93])).
% 0.13/0.39 fof(f413,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c2)=sk_c3|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f402,f86])).
% 0.13/0.39 fof(f414,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c2))=sk_c2|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f402,f411])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ5_spl|~sQ0_spl|sQ15_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f402,f381])).
% 0.13/0.39 fof(f416,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ5_spl|~sQ0_spl|sQ15_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f402,f415])).
% 0.13/0.39 fof(f421,plain,(
% 0.13/0.39 $false|sQ15_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f412,f416])).
% 0.13/0.39 fof(f422,plain,(
% 0.13/0.39 sQ15_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f421])).
% 0.13/0.39 fof(f456,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c2|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f412,f414])).
% 0.13/0.39 fof(f457,plain,(
% 0.13/0.39 ~sk_c2=sk_c2|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f412,f456])).
% 0.13/0.39 fof(f458,plain,(
% 0.13/0.39 $false|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f457])).
% 0.13/0.39 fof(f459,plain,(
% 0.13/0.39 ~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ17_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f458])).
% 0.13/0.39 fof(f463,plain,(
% 0.13/0.39 sk_c2=sk_c3|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f409,f413])).
% 0.13/0.39 fof(f464,plain,(
% 0.13/0.39 $false|~sQ6_spl|sQ22_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f463,f406])).
% 0.13/0.39 fof(f465,plain,(
% 0.13/0.39 ~sQ6_spl|sQ22_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f464])).
% 0.13/0.39 fof(f474,plain,(
% 0.13/0.39 ~inverse(sk_c3)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f463,f398])).
% 0.13/0.39 fof(f476,plain,(
% 0.13/0.39 sk_c6=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f463,f395])).
% 0.13/0.39 fof(f477,plain,(
% 0.13/0.39 sk_c2=sk_c5|~sQ8_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f463,f383])).
% 0.13/0.39 fof(f485,plain,(
% 0.13/0.39 ~inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f463,f474])).
% 0.13/0.39 fof(f486,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f412,f485])).
% 0.13/0.40 fof(f487,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f486])).
% 0.13/0.40 fof(f488,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f487])).
% 0.13/0.40 fof(f497,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c5)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f402,f61])).
% 0.13/0.40 fof(f498,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f409,f497])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 ~sk_c2=sk_c6|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f477,f498])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f476,f513])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f514])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f515])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 ~sQ22_spl|~sQ5_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f116,f226,f71,f108,f52])).
% 0.13/0.40 fof(f528,plain,(
% 0.13/0.40 ~sk_c5=sk_c6|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ19_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f312,f204])).
% 0.13/0.40 fof(f531,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f300,f26])).
% 0.13/0.40 fof(f545,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c5)=sk_c6|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f312,f60])).
% 0.13/0.40 fof(f550,plain,(
% 0.13/0.40 sk_c5=sk_c6|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f531,f545])).
% 0.13/0.40 fof(f553,plain,(
% 0.13/0.40 ~sk_c5=sk_c5|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f550,f528])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ19_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f553])).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|sQ19_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.40 fof(f556,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,f111,f119,f123,f130,f142,f146,f157,f168,f190,f201,f203,f319,f320,f375,f422,f459,f465,f488,f516,f519,f555])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.053495 seconds
% 0.13/0.42 % CPU time: 0.185474 seconds
% 0.13/0.42 % Total memory used: 75.030 MB
% 0.13/0.42 % Net memory used: 74.855 MB
%------------------------------------------------------------------------------