%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP363-1 : 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 : n001.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 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP363-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:15:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c2) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f14,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f15,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f16,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f17,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f18,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f19,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f20,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f21,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f22,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f23,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f24,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| inverse(sk_c2) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f25,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f26,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f27,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f28,negated_conjecture,(
% 0.10/0.41 (![X2,X1,X3,X4]: (( multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c6) != sk_c5| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7 ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f29,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f30,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f31,plain,(
% 0.10/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f32,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f33,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f34,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c2)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f35,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c7,sk_c4)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f36,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c7)=sk_c4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f37,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f38,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f39,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f40,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f48,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|inverse(sk_c2)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c7,sk_c4)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c7)=sk_c4),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 ![X4]: ((![X3]: (((![X1]: ((((![X2]: (((~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5)|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f28])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.10/0.41 fof(f58,definition,(
% 0.10/0.41 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c5)=sk_c7|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f58])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 ~multiply(sk_c6,sk_c5)=sk_c7|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f58])).
% 0.10/0.41 fof(f61,definition,(
% 0.10/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f62,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.10/0.41 fof(f65,definition,(
% 0.10/0.41 sQ2_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f66,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c6)=sk_c7|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.10/0.41 fof(f68,plain,(
% 0.10/0.41 sQ0_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.10/0.41 fof(f69,definition,(
% 0.10/0.41 sQ3_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f70,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c6|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f69])).
% 0.10/0.41 fof(f72,plain,(
% 0.10/0.41 sQ0_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.10/0.41 fof(f73,definition,(
% 0.10/0.41 sQ4_spl <=> (multiply(sk_c7,sk_c4)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c4)=sk_c6|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.41 fof(f76,plain,(
% 0.10/0.41 sQ0_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.10/0.41 fof(f77,definition,(
% 0.10/0.41 sQ5_spl <=> (multiply(sk_c3,sk_c7)=sk_c4)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c4|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.41 fof(f80,plain,(
% 0.10/0.41 sQ0_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.10/0.41 fof(f81,definition,(
% 0.10/0.41 sQ6_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f82,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c7|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.41 fof(f84,plain,(
% 0.10/0.41 sQ0_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.10/0.41 fof(f85,definition,(
% 0.10/0.41 sQ7_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c5|~sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f87,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c5|sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f88,plain,(
% 0.10/0.41 sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.10/0.41 fof(f89,plain,(
% 0.10/0.41 sQ7_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 sQ7_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.10/0.41 fof(f91,plain,(
% 0.10/0.41 sQ7_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 sQ7_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.10/0.41 fof(f93,plain,(
% 0.10/0.41 sQ7_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.10/0.41 fof(f94,definition,(
% 0.10/0.41 sQ8_spl <=> (multiply(sk_c1,sk_c6)=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f95,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c5|~sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.10/0.41 fof(f97,plain,(
% 0.10/0.41 sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.10/0.41 fof(f98,plain,(
% 0.10/0.41 sQ8_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.10/0.41 fof(f99,plain,(
% 0.10/0.41 sQ8_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 sQ8_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.10/0.41 fof(f101,plain,(
% 0.10/0.41 sQ8_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 sQ8_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.10/0.41 fof(f103,definition,(
% 0.10/0.41 sQ9_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f104,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.41 fof(f106,plain,(
% 0.10/0.41 sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.10/0.41 fof(f107,plain,(
% 0.10/0.41 sQ9_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.10/0.41 fof(f108,plain,(
% 0.10/0.41 sQ9_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.10/0.41 fof(f109,plain,(
% 0.10/0.41 sQ9_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 sQ9_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.10/0.41 fof(f111,plain,(
% 0.10/0.41 sQ9_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.10/0.41 fof(f112,definition,(
% 0.10/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f112])).
% 0.10/0.41 fof(f115,definition,(
% 0.10/0.41 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.41 fof(f118,definition,(
% 0.10/0.41 ![X2,X3]: (sQ12_spl <=> (~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ12_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ7_spl|sQ10_spl|~sQ1_spl|sQ11_spl|sQ12_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f57,f58,f85,f112,f61,f115,f118])).
% 0.10/0.41 fof(f122,plain,(
% 0.10/0.41 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.10/0.41 inference(destructive_equality_resolution,[status(thm)],[f119])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ2_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f66,f31])).
% 0.10/0.41 fof(f127,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ5_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f78,f31])).
% 0.10/0.41 fof(f155,plain,(
% 0.10/0.41 ~multiply(sk_c7,sk_c4)=sk_c6|~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f78,f122])).
% 0.10/0.41 fof(f163,plain,(
% 0.10/0.41 ~sQ4_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f155,f73,f81,f118,f77])).
% 0.10/0.41 fof(f164,plain,(
% 0.10/0.41 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ2_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f116,f66])).
% 0.10/0.41 fof(f167,plain,(
% 0.10/0.41 ~sk_c5=sk_c7|~inverse(sk_c1)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f95,f116])).
% 0.10/0.41 fof(f168,plain,(
% 0.10/0.41 ~sk_c6=sk_c6|~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f70,f164])).
% 0.10/0.41 fof(f169,plain,(
% 0.10/0.41 $false|~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f168])).
% 0.10/0.41 fof(f170,plain,(
% 0.10/0.41 ~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f169])).
% 0.10/0.41 fof(f173,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c3)=identity|~sQ6_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f82,f30])).
% 0.10/0.41 fof(f174,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c1)=identity|~sQ9_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f104,f30])).
% 0.10/0.41 fof(f175,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.10/0.41 fof(f176,plain,(
% 0.10/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f29,f175])).
% 0.10/0.41 fof(f181,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~sQ6_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f173,f31])).
% 0.10/0.41 fof(f182,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ6_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f29,f181])).
% 0.10/0.41 fof(f192,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f29,f176])).
% 0.10/0.41 fof(f194,plain,(
% 0.10/0.41 sk_c1=multiply(inverse(sk_c6),identity)|~sQ9_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f174,f176])).
% 0.10/0.41 fof(f202,plain,(
% 0.10/0.41 sk_c7=multiply(inverse(sk_c3),sk_c4)|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f78,f176])).
% 0.10/0.41 fof(f203,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c1),sk_c5)|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f95,f176])).
% 0.10/0.41 fof(f205,plain,(
% 0.10/0.41 sk_c1=multiply(sk_c5,identity)|~sQ7_spl|~sQ9_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f86,f194])).
% 0.10/0.41 fof(f209,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c7,sk_c4)|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f82,f202])).
% 0.10/0.41 fof(f210,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c6,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f104,f203])).
% 0.10/0.41 fof(f211,plain,(
% 0.10/0.41 sk_c6=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f59,f210])).
% 0.10/0.41 fof(f220,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c5)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f211,f59])).
% 0.10/0.41 fof(f222,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c7)=sk_c5|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f211,f95])).
% 0.10/0.41 fof(f223,plain,(
% 0.10/0.41 inverse(sk_c7)=sk_c5|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f211,f86])).
% 0.10/0.41 fof(f224,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f211,f104])).
% 0.10/0.41 fof(f234,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f192,f176])).
% 0.10/0.41 fof(f236,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c6|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f211,f113])).
% 0.10/0.41 fof(f237,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f211,f236])).
% 0.10/0.41 fof(f239,plain,(
% 0.10/0.41 ~identity=sk_c5|~inverse(inverse(sk_c7))=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f30,f237])).
% 0.10/0.41 fof(f243,definition,(
% 0.10/0.41 sQ15_spl <=> (sk_c7=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f245,plain,(
% 0.10/0.41 ~sk_c7=sk_c5|sQ15_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f243])).
% 0.10/0.41 fof(f250,definition,(
% 0.10/0.41 sQ17_spl <=> (identity=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f252,plain,(
% 0.10/0.41 ~identity=sk_c5|sQ17_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f250])).
% 0.10/0.41 fof(f253,definition,(
% 0.10/0.41 sQ18_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f255,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c7))=sk_c7|sQ18_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f253])).
% 0.10/0.41 fof(f256,plain,(
% 0.10/0.41 ~sQ17_spl|~sQ18_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f239,f250,f253,f58,f103,f94,f112])).
% 0.10/0.41 fof(f265,plain,(
% 0.10/0.41 ~inverse(sk_c5)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f223,f255])).
% 0.10/0.41 fof(f267,plain,(
% 0.10/0.41 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f211,f122])).
% 0.10/0.41 fof(f271,plain,(
% 0.10/0.41 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f220,f176])).
% 0.10/0.41 fof(f274,plain,(
% 0.10/0.41 sk_c5=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f30,f271])).
% 0.10/0.41 fof(f275,plain,(
% 0.10/0.41 $false|sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f274,f252])).
% 0.10/0.41 fof(f276,plain,(
% 0.10/0.41 sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f275])).
% 0.10/0.41 fof(f279,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f274,f29])).
% 0.10/0.41 fof(f285,plain,(
% 0.10/0.41 sk_c5=sk_c1|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f286,f274])).
% 0.10/0.41 fof(f286,plain,(
% 0.10/0.41 sk_c1=identity|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ9_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f279,f205])).
% 0.10/0.41 fof(f287,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c1,X0)=X0|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f285,f279])).
% 0.10/0.41 fof(f290,plain,(
% 0.10/0.41 ~sk_c7=sk_c1|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|sQ15_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f285,f245])).
% 0.10/0.41 fof(f292,plain,(
% 0.10/0.41 inverse(sk_c7)=sk_c1|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f285,f223])).
% 0.10/0.41 fof(f296,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f285,f265])).
% 0.10/0.41 fof(f297,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f224,f296])).
% 0.10/0.41 fof(f298,plain,(
% 0.10/0.41 $false|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f297])).
% 0.10/0.41 fof(f299,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f298])).
% 0.10/0.41 fof(f306,plain,(
% 0.10/0.41 sk_c7=sk_c5|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f287,f222])).
% 0.10/0.41 fof(f307,plain,(
% 0.10/0.41 sk_c7=sk_c1|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f285,f306])).
% 0.10/0.41 fof(f308,plain,(
% 0.10/0.41 $false|sQ15_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f307,f290])).
% 0.10/0.41 fof(f309,plain,(
% 0.10/0.41 sQ15_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f308])).
% 0.10/0.41 fof(f319,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c1|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f307,f292])).
% 0.10/0.41 fof(f324,plain,(
% 0.10/0.41 sk_c6=sk_c1|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f307,f211])).
% 0.10/0.41 fof(f354,plain,(
% 0.10/0.41 ![X0]: (~multiply(sk_c1,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f307,f267])).
% 0.10/0.41 fof(f355,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f287,f354])).
% 0.10/0.41 fof(f356,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c1)=sk_c7|~inverse(X0)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f307,f355])).
% 0.10/0.41 fof(f357,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f307,f356])).
% 0.10/0.41 fof(f358,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c1|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f307,f357])).
% 0.10/0.41 fof(f359,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c1|~sQ12_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f358,f287])).
% 0.10/0.41 fof(f362,plain,(
% 0.10/0.41 ~sk_c1=sk_c1|~sQ12_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f319,f359])).
% 0.10/0.41 fof(f363,plain,(
% 0.10/0.41 $false|~sQ12_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f362])).
% 0.10/0.41 fof(f364,plain,(
% 0.10/0.41 ~sQ12_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f363])).
% 0.10/0.41 fof(f371,definition,(
% 0.10/0.41 sQ21_spl <=> (sk_c7=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f373,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|sQ21_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f371])).
% 0.10/0.41 fof(f375,plain,(
% 0.10/0.41 ~sQ15_spl|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f167,f243,f103,f115,f94])).
% 0.10/0.41 fof(f377,plain,(
% 0.10/0.41 $false|sQ21_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f373])).
% 0.10/0.41 fof(f378,plain,(
% 0.10/0.41 sQ21_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f377])).
% 0.10/0.41 fof(f400,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ2_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f66,f176])).
% 0.10/0.41 fof(f402,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c6,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f70,f400])).
% 0.10/0.41 fof(f403,plain,(
% 0.10/0.41 sk_c6=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f62,f402])).
% 0.10/0.41 fof(f405,plain,(
% 0.10/0.41 multiply(sk_c5,sk_c5)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f403,f59])).
% 0.10/0.41 fof(f407,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f403,f70])).
% 0.10/0.41 fof(f411,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c4)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f403,f74])).
% 0.10/0.41 fof(f414,plain,(
% 0.10/0.41 sk_c7=sk_c5|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f209,f411])).
% 0.10/0.41 fof(f415,plain,(
% 0.10/0.41 sk_c4=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f209,f176])).
% 0.10/0.41 fof(f417,plain,(
% 0.10/0.41 sk_c4=identity|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f30,f415])).
% 0.10/0.41 fof(f419,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f414,f407])).
% 0.10/0.41 fof(f420,plain,(
% 0.10/0.41 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f414,f403])).
% 0.10/0.41 fof(f423,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ10_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f414,f113])).
% 0.10/0.41 fof(f426,plain,(
% 0.10/0.41 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f30,f423])).
% 0.10/0.41 fof(f439,definition,(
% 0.10/0.41 sQ25_spl <=> (identity=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f441,plain,(
% 0.10/0.41 ~identity=sk_c7|sQ25_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f439])).
% 0.10/0.41 fof(f442,definition,(
% 0.10/0.41 sQ26_spl <=> (inverse(inverse(sk_c6))=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f444,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c6))=sk_c6|sQ26_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f442])).
% 0.10/0.41 fof(f445,plain,(
% 0.10/0.41 ~sQ25_spl|~sQ26_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ10_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f426,f439,f442,f81,f77,f61,f69,f65,f73,f112])).
% 0.10/0.41 fof(f463,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ6_spl|~sQ5_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f417,f30])).
% 0.10/0.41 fof(f469,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c7))=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f420,f444])).
% 0.10/0.41 fof(f470,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c7))=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f420,f469])).
% 0.10/0.41 fof(f476,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f420,f87])).
% 0.10/0.41 fof(f477,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f414,f476])).
% 0.10/0.41 fof(f478,plain,(
% 0.10/0.41 ~sk_c4=sk_c7|~sQ6_spl|~sQ5_spl|sQ25_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f417,f441])).
% 0.10/0.41 fof(f479,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c4,X0)=X0|~sQ6_spl|~sQ5_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f417,f29])).
% 0.10/0.41 fof(f498,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c5)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f414,f405])).
% 0.10/0.41 fof(f499,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c7)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f414,f498])).
% 0.10/0.41 fof(f521,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(inverse(inverse(sk_c4)),X0)|~sQ6_spl|~sQ5_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f417,f234])).
% 0.10/0.41 fof(f524,plain,(
% 0.10/0.41 inverse(sk_c4)=sk_c4|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f463,f521])).
% 0.10/0.41 fof(f549,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c3,multiply(sk_c7,X0))|~sQ6_spl|~sQ5_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f479,f127])).
% 0.10/0.41 fof(f551,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c3,sk_c7)|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f499,f549])).
% 0.10/0.41 fof(f558,plain,(
% 0.10/0.41 sk_c7=sk_c4|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f78,f551])).
% 0.10/0.41 fof(f559,plain,(
% 0.10/0.41 $false|sQ25_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f558,f478])).
% 0.10/0.41 fof(f560,plain,(
% 0.10/0.41 sQ25_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f559])).
% 0.10/0.41 fof(f563,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f420,f125])).
% 0.10/0.41 fof(f564,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c7,multiply(sk_c3,X0))=multiply(sk_c2,X0)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f182,f563])).
% 0.10/0.41 fof(f571,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c2,X0)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f182,f564])).
% 0.10/0.41 fof(f584,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c7))=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f558,f470])).
% 0.10/0.41 fof(f588,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f558,f477])).
% 0.10/0.41 fof(f603,plain,(
% 0.10/0.41 ~inverse(inverse(sk_c4))=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f558,f584])).
% 0.10/0.41 fof(f604,plain,(
% 0.10/0.41 ~inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f524,f603])).
% 0.10/0.41 fof(f605,plain,(
% 0.10/0.41 ~sk_c4=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f524,f604])).
% 0.10/0.41 fof(f606,plain,(
% 0.10/0.41 $false|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f605])).
% 0.10/0.41 fof(f607,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ26_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f606])).
% 0.10/0.41 fof(f612,plain,(
% 0.10/0.41 ~inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f558,f588])).
% 0.10/0.41 fof(f613,plain,(
% 0.10/0.41 ~sk_c4=sk_c4|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f524,f612])).
% 0.10/0.41 fof(f614,plain,(
% 0.10/0.41 $false|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f613])).
% 0.10/0.41 fof(f615,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ7_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f614])).
% 0.10/0.41 fof(f674,plain,(
% 0.10/0.41 ~multiply(sk_c1,sk_c7)=sk_c5|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f324,f63])).
% 0.10/0.41 fof(f675,plain,(
% 0.10/0.41 ~sk_c7=sk_c5|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f287,f674])).
% 0.10/0.41 fof(f676,plain,(
% 0.10/0.41 ~sk_c1=sk_c5|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f307,f675])).
% 0.10/0.41 fof(f677,plain,(
% 0.10/0.41 ~sk_c1=sk_c1|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f285,f676])).
% 0.10/0.41 fof(f678,plain,(
% 0.10/0.41 $false|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f677])).
% 0.10/0.41 fof(f679,plain,(
% 0.10/0.41 ~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f678])).
% 0.10/0.41 fof(f686,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(inverse(sk_c2),X0)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f571,f176])).
% 0.10/0.41 fof(f688,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c7,X0)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ6_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f419,f686])).
% 0.10/0.41 fof(f706,plain,(
% 0.10/0.41 ~multiply(sk_c7,sk_c5)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f420,f60])).
% 0.10/0.41 fof(f707,plain,(
% 0.10/0.41 ~sk_c5=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f688,f706])).
% 0.10/0.41 fof(f708,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f414,f707])).
% 0.10/0.41 fof(f709,plain,(
% 0.10/0.41 $false|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f708])).
% 0.10/0.41 fof(f710,plain,(
% 0.10/0.41 ~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f709])).
% 0.10/0.41 fof(f711,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f121,f163,f170,f256,f276,f299,f309,f364,f375,f378,f445,f560,f607,f615,f679,f710])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.051182 seconds
% 0.10/0.43 % CPU time: 0.177237 seconds
% 0.10/0.43 % Total memory used: 81.935 MB
% 0.10/0.43 % Net memory used: 81.713 MB
%------------------------------------------------------------------------------