%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP277-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP277-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:10:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f3,axiom,(
% 0.11/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f4,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f7,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f8,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f16,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f18,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f20,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f21,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f22,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f23,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f24,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f25,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f26,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f27,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f28,negated_conjecture,(
% 0.11/0.41 (![X2,X1,X3,X4]: (( multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(sk_c5,sk_c6) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X3,X4) != sk_c6| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c6 ) ))),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f29,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f30,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f31,plain,(
% 0.11/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.41 fof(f32,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f33,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f34,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f35,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f36,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f38,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f40,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f41,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.41 fof(f42,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f43,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.41 fof(f44,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 ![X4]: ((![X3]: (((![X1]: ((((((![X2]: (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X3,X4)=sk_c6)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c6)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f28])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.11/0.41 fof(f58,definition,(
% 0.11/0.41 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f59,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f58])).
% 0.11/0.41 fof(f61,definition,(
% 0.11/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.11/0.41 fof(f63,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.11/0.41 fof(f65,definition,(
% 0.11/0.41 sQ2_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 sQ0_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.11/0.41 fof(f69,definition,(
% 0.11/0.41 sQ3_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f69])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 sQ0_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.11/0.41 fof(f73,definition,(
% 0.11/0.41 sQ4_spl <=> (multiply(sk_c3,sk_c4)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c4)=sk_c6|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.41 fof(f76,plain,(
% 0.11/0.41 sQ0_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.11/0.41 fof(f77,definition,(
% 0.11/0.41 sQ5_spl <=> (inverse(sk_c3)=sk_c4)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c4|~sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 sQ0_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.11/0.41 fof(f81,definition,(
% 0.11/0.41 sQ6_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c7)=sk_c6|~sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.11/0.41 fof(f84,plain,(
% 0.11/0.41 sQ0_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.11/0.41 fof(f85,definition,(
% 0.11/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f86,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.41 fof(f88,plain,(
% 0.11/0.41 sQ7_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 sQ7_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 sQ7_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.11/0.41 fof(f91,plain,(
% 0.11/0.41 sQ7_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 sQ7_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.11/0.41 fof(f93,plain,(
% 0.11/0.41 sQ7_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.11/0.41 fof(f94,definition,(
% 0.11/0.41 sQ8_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f95,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c5)=sk_c6|~sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.41 fof(f96,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c5)=sk_c6|sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 sQ8_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 sQ8_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.11/0.41 fof(f99,plain,(
% 0.11/0.41 sQ8_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.11/0.41 fof(f100,plain,(
% 0.11/0.41 sQ8_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.11/0.41 fof(f101,plain,(
% 0.11/0.41 sQ8_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 sQ8_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.11/0.41 fof(f103,definition,(
% 0.11/0.41 sQ9_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c6)=sk_c7|~sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.41 fof(f105,plain,(
% 0.11/0.41 ~multiply(sk_c5,sk_c6)=sk_c7|sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.11/0.41 fof(f106,plain,(
% 0.11/0.41 sQ9_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.11/0.41 fof(f107,plain,(
% 0.11/0.41 sQ9_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.11/0.41 fof(f108,plain,(
% 0.11/0.41 sQ9_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.11/0.41 fof(f109,plain,(
% 0.11/0.41 sQ9_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 sQ9_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.11/0.41 fof(f111,plain,(
% 0.11/0.41 sQ9_spl|sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.11/0.41 fof(f112,definition,(
% 0.11/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f112])).
% 0.11/0.41 fof(f115,definition,(
% 0.11/0.41 ![X1]: (sQ11_spl <=> (~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.41 fof(f118,definition,(
% 0.11/0.41 ![X2,X3]: (sQ12_spl <=> (~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c6|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.41 fof(f121,plain,(
% 0.11/0.41 sQ10_spl|~sQ8_spl|~sQ9_spl|~sQ1_spl|sQ11_spl|sQ12_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f57,f112,f94,f103,f61,f115,f118])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~sQ12_spl)),
% 0.11/0.41 inference(destructive_equality_resolution,[status(thm)],[f119])).
% 0.11/0.41 fof(f124,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~sQ8_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f95,f31])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ9_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f104,f31])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f82,f31])).
% 0.11/0.41 fof(f129,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ0_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f59,f31])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c6)=multiply(sk_c7,sk_c7)|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f104,f124])).
% 0.11/0.41 fof(f155,plain,(
% 0.11/0.41 ~multiply(sk_c2,inverse(sk_c2))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~sQ12_spl|~sQ2_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f66,f122])).
% 0.11/0.41 fof(f156,plain,(
% 0.11/0.41 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|~multiply(sk_c4,sk_c7)=sk_c6|~sQ12_spl|~sQ5_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f78,f122])).
% 0.11/0.41 fof(f157,plain,(
% 0.11/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~sQ12_spl|~sQ7_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f86,f122])).
% 0.11/0.41 fof(f158,definition,(
% 0.11/0.41 sQ13_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f161,definition,(
% 0.11/0.41 sQ14_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f163,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c7)=sk_c6|sQ14_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f161])).
% 0.11/0.41 fof(f164,plain,(
% 0.11/0.41 ~sQ13_spl|~sQ14_spl|~sQ12_spl|~sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f155,f158,f161,f118,f65])).
% 0.11/0.41 fof(f165,definition,(
% 0.11/0.41 sQ15_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f167,plain,(
% 0.11/0.41 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|sQ15_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f165])).
% 0.11/0.41 fof(f168,plain,(
% 0.11/0.41 ~sQ15_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f156,f165,f81,f118,f77])).
% 0.11/0.41 fof(f169,definition,(
% 0.11/0.41 sQ16_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f171,plain,(
% 0.11/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f169])).
% 0.11/0.41 fof(f172,plain,(
% 0.11/0.41 ~sQ16_spl|~sQ14_spl|~sQ12_spl|~sQ7_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f157,f169,f161,f118,f85])).
% 0.11/0.41 fof(f173,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ8_spl|~sQ9_spl|sQ14_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f132,f163])).
% 0.11/0.41 fof(f174,plain,(
% 0.11/0.41 ~multiply(sk_c1,sk_c7)=sk_c6|~sQ7_spl|sQ16_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f86,f171])).
% 0.11/0.41 fof(f175,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ0_spl|~sQ7_spl|sQ16_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f59,f174])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 $false|~sQ0_spl|~sQ7_spl|sQ16_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f175])).
% 0.11/0.41 fof(f177,plain,(
% 0.11/0.41 ~sQ0_spl|~sQ7_spl|sQ16_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f176])).
% 0.11/0.41 fof(f179,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|~inverse(sk_c7)=sk_c7|~sQ10_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f132,f113])).
% 0.11/0.41 fof(f180,definition,(
% 0.11/0.41 sQ17_spl <=> (multiply(sk_c6,sk_c6)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f182,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|sQ17_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f180])).
% 0.11/0.41 fof(f183,definition,(
% 0.11/0.41 sQ18_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f185,plain,(
% 0.11/0.41 ~inverse(sk_c7)=sk_c7|sQ18_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f183])).
% 0.11/0.41 fof(f186,plain,(
% 0.11/0.41 ~sQ17_spl|~sQ18_spl|~sQ10_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f179,f180,f183,f112,f94,f103])).
% 0.11/0.41 fof(f190,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c1)=identity|~sQ7_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f86,f30])).
% 0.11/0.41 fof(f191,plain,(
% 0.11/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.11/0.41 fof(f192,plain,(
% 0.11/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f29,f191])).
% 0.11/0.41 fof(f204,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~sQ7_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f190,f31])).
% 0.11/0.41 fof(f205,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ7_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f29,f204])).
% 0.11/0.41 fof(f217,plain,(
% 0.11/0.41 sk_c1=multiply(inverse(sk_c7),identity)|~sQ7_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f190,f192])).
% 0.11/0.41 fof(f221,plain,(
% 0.11/0.41 sk_c5=multiply(inverse(sk_c7),sk_c6)|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f95,f192])).
% 0.11/0.41 fof(f225,plain,(
% 0.11/0.41 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f70,f192])).
% 0.11/0.41 fof(f228,plain,(
% 0.11/0.41 sk_c4=multiply(inverse(sk_c3),sk_c6)|~sQ4_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f74,f192])).
% 0.11/0.41 fof(f231,plain,(
% 0.11/0.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f66,f225])).
% 0.11/0.41 fof(f234,plain,(
% 0.11/0.41 sk_c4=multiply(sk_c4,sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f78,f228])).
% 0.11/0.41 fof(f242,plain,(
% 0.11/0.41 ~inverse(sk_c5)=sk_c7|~sQ11_spl|~sQ9_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f116,f104])).
% 0.11/0.41 fof(f243,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f116,f70])).
% 0.11/0.41 fof(f251,plain,(
% 0.11/0.41 ~sk_c7=sk_c7|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f66,f243])).
% 0.11/0.41 fof(f252,plain,(
% 0.11/0.41 $false|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f251])).
% 0.11/0.41 fof(f253,plain,(
% 0.11/0.41 ~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f252])).
% 0.11/0.41 fof(f255,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~inverse(sk_c4)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f82,f113])).
% 0.11/0.41 fof(f262,definition,(
% 0.11/0.41 sQ19_spl <=> (sk_c6=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f264,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|sQ19_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f262])).
% 0.11/0.41 fof(f265,definition,(
% 0.11/0.41 sQ20_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f268,plain,(
% 0.11/0.41 ~sQ19_spl|~sQ20_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f255,f262,f265,f112,f81])).
% 0.11/0.41 fof(f295,plain,(
% 0.11/0.41 $false|sQ19_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f264])).
% 0.11/0.41 fof(f296,plain,(
% 0.11/0.41 sQ19_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f295])).
% 0.11/0.41 fof(f322,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c7)=multiply(sk_c4,sk_c6)|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f231,f128])).
% 0.11/0.41 fof(f323,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~inverse(sk_c7)=sk_c7|~sQ10_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f231,f113])).
% 0.11/0.41 fof(f326,plain,(
% 0.11/0.41 sk_c5=multiply(sk_c4,sk_c6)|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f62,f322])).
% 0.11/0.41 fof(f327,plain,(
% 0.11/0.41 ~sQ19_spl|~sQ18_spl|~sQ10_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f323,f262,f183,f112,f65,f69])).
% 0.11/0.41 fof(f333,plain,(
% 0.11/0.41 sk_c6=multiply(inverse(sk_c4),sk_c4)|~sQ5_spl|~sQ4_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f234,f192])).
% 0.11/0.41 fof(f336,plain,(
% 0.11/0.41 sk_c6=identity|~sQ5_spl|~sQ4_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f30,f333])).
% 0.11/0.41 fof(f344,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ4_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f336,f29])).
% 0.11/0.41 fof(f346,plain,(
% 0.11/0.41 sk_c7=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f344,f62])).
% 0.11/0.41 fof(f357,plain,(
% 0.11/0.41 sk_c6=multiply(sk_c7,sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f346,f231])).
% 0.11/0.41 fof(f360,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f346,f113])).
% 0.11/0.41 fof(f369,plain,(
% 0.11/0.41 sk_c6=multiply(sk_c5,sk_c5)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f346,f357])).
% 0.11/0.41 fof(f370,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f346,f360])).
% 0.11/0.41 fof(f401,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f406,f370])).
% 0.11/0.41 fof(f403,plain,(
% 0.11/0.41 sk_c7=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f406,f346])).
% 0.11/0.41 fof(f406,plain,(
% 0.11/0.41 sk_c5=sk_c4|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f234,f326])).
% 0.11/0.41 fof(f408,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c4)=sk_c6|~inverse(X0)=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ10_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f406,f401])).
% 0.11/0.41 fof(f459,plain,(
% 0.11/0.41 ~inverse(sk_c3)=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f408,f74])).
% 0.11/0.41 fof(f466,plain,(
% 0.11/0.41 ~sk_c4=sk_c4|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f78,f459])).
% 0.11/0.41 fof(f467,plain,(
% 0.11/0.41 $false|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f466])).
% 0.11/0.41 fof(f468,plain,(
% 0.11/0.41 ~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ1_spl|~sQ10_spl|~sQ4_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f467])).
% 0.11/0.41 fof(f469,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ8_spl|~sQ9_spl|sQ14_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f344,f173])).
% 0.11/0.41 fof(f470,plain,(
% 0.11/0.41 $false|~sQ5_spl|~sQ4_spl|~sQ8_spl|~sQ9_spl|sQ14_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f469])).
% 0.11/0.41 fof(f471,plain,(
% 0.11/0.41 ~sQ5_spl|~sQ4_spl|~sQ8_spl|~sQ9_spl|sQ14_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f470])).
% 0.11/0.41 fof(f472,plain,(
% 0.11/0.41 ~multiply(sk_c3,sk_c4)=sk_c6|~sQ5_spl|sQ15_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f78,f167])).
% 0.11/0.41 fof(f473,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f74,f472])).
% 0.11/0.41 fof(f474,plain,(
% 0.11/0.41 $false|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f473])).
% 0.11/0.41 fof(f475,plain,(
% 0.11/0.41 ~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f474])).
% 0.11/0.41 fof(f490,plain,(
% 0.11/0.41 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f59,f205])).
% 0.11/0.41 fof(f518,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c6)=multiply(sk_c1,sk_c7)|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f490,f129])).
% 0.11/0.41 fof(f525,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c6)=sk_c6|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f59,f518])).
% 0.11/0.41 fof(f526,plain,(
% 0.11/0.41 $false|sQ17_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f525,f182])).
% 0.11/0.41 fof(f527,plain,(
% 0.11/0.41 sQ17_spl|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f526])).
% 0.11/0.41 fof(f554,plain,(
% 0.11/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f525,f192])).
% 0.11/0.41 fof(f557,plain,(
% 0.11/0.41 sk_c6=identity|~sQ7_spl|~sQ0_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f30,f554])).
% 0.11/0.41 fof(f561,plain,(
% 0.11/0.41 sk_c1=multiply(inverse(sk_c7),sk_c6)|~sQ0_spl|~sQ7_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f557,f217])).
% 0.11/0.41 fof(f564,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ0_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f557,f29])).
% 0.11/0.41 fof(f566,plain,(
% 0.11/0.41 sk_c1=sk_c5|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f221,f561])).
% 0.11/0.41 fof(f569,plain,(
% 0.11/0.41 inverse(sk_c5)=sk_c7|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f566,f86])).
% 0.11/0.41 fof(f575,plain,(
% 0.11/0.41 ~sk_c7=sk_c5|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f564,f63])).
% 0.11/0.41 fof(f593,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c5)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f594,f95])).
% 0.11/0.41 fof(f594,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,X0)|~sQ7_spl|~sQ0_spl|~sQ9_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f564,f125])).
% 0.11/0.41 fof(f598,plain,(
% 0.11/0.41 sk_c5=multiply(inverse(sk_c5),sk_c6)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f593,f192])).
% 0.11/0.41 fof(f600,plain,(
% 0.11/0.41 sk_c5=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f569,f598])).
% 0.11/0.41 fof(f601,plain,(
% 0.11/0.41 sk_c5=multiply(sk_c5,sk_c6)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f594,f600])).
% 0.11/0.41 fof(f606,plain,(
% 0.11/0.41 sk_c5=sk_c7|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f601,f104])).
% 0.11/0.41 fof(f609,plain,(
% 0.11/0.41 $false|sQ1_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f606,f575])).
% 0.11/0.41 fof(f610,plain,(
% 0.11/0.41 sQ1_spl|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f609])).
% 0.11/0.42 fof(f632,plain,(
% 0.11/0.42 ~sQ17_spl|~sQ8_spl|~sQ9_spl|sQ14_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f173,f180,f94,f103,f161])).
% 0.11/0.42 fof(f646,definition,(
% 0.11/0.42 sQ34_spl <=> (sk_c7=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f648,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|sQ34_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f646])).
% 0.11/0.42 fof(f650,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f569,f242])).
% 0.11/0.42 fof(f651,plain,(
% 0.11/0.42 $false|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ9_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f650])).
% 0.11/0.42 fof(f652,plain,(
% 0.11/0.42 ~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f651])).
% 0.11/0.42 fof(f653,plain,(
% 0.11/0.42 $false|sQ34_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f648])).
% 0.11/0.42 fof(f654,plain,(
% 0.11/0.42 sQ34_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f653])).
% 0.11/0.42 fof(f692,plain,(
% 0.11/0.42 sk_c6=multiply(sk_c4,sk_c5)|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f406,f369])).
% 0.11/0.42 fof(f693,plain,(
% 0.11/0.42 sk_c6=multiply(sk_c4,sk_c4)|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f406,f692])).
% 0.11/0.42 fof(f723,plain,(
% 0.11/0.42 ~multiply(sk_c4,sk_c5)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f403,f96])).
% 0.11/0.42 fof(f724,plain,(
% 0.11/0.42 ~multiply(sk_c4,sk_c4)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f406,f723])).
% 0.11/0.42 fof(f725,plain,(
% 0.11/0.42 ~sk_c6=sk_c6|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f693,f724])).
% 0.11/0.42 fof(f726,plain,(
% 0.11/0.42 $false|~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ8_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f725])).
% 0.11/0.42 fof(f727,plain,(
% 0.11/0.42 ~sQ6_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ8_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f726])).
% 0.11/0.42 fof(f740,plain,(
% 0.11/0.42 ~inverse(sk_c5)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f606,f185])).
% 0.11/0.42 fof(f741,plain,(
% 0.11/0.42 ~inverse(sk_c5)=sk_c5|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ18_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f606,f740])).
% 0.11/0.42 fof(f763,plain,(
% 0.11/0.42 inverse(sk_c5)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f606,f569])).
% 0.11/0.42 fof(f764,plain,(
% 0.11/0.42 $false|sQ18_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f763,f741])).
% 0.11/0.42 fof(f765,plain,(
% 0.11/0.42 sQ18_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f764])).
% 0.11/0.42 fof(f836,plain,(
% 0.11/0.42 ~multiply(sk_c4,sk_c6)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f406,f105])).
% 0.11/0.42 fof(f837,plain,(
% 0.11/0.42 ~sk_c4=sk_c7|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f234,f836])).
% 0.11/0.42 fof(f838,plain,(
% 0.11/0.42 ~sk_c4=sk_c4|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f403,f837])).
% 0.11/0.42 fof(f839,plain,(
% 0.11/0.42 $false|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f838])).
% 0.11/0.42 fof(f840,plain,(
% 0.11/0.42 ~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl|~sQ3_spl|sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f839])).
% 0.11/0.42 fof(f841,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 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,f164,f168,f172,f177,f186,f253,f268,f296,f327,f468,f471,f475,f527,f610,f632,f652,f654,f727,f765,f840])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.052911 seconds
% 0.11/0.43 % CPU time: 0.199216 seconds
% 0.11/0.43 % Total memory used: 56.827 MB
% 0.11/0.43 % Net memory used: 56.626 MB
%------------------------------------------------------------------------------