%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP267-1 : 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 : n015.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP267-1 : 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 : n015.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:11:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c4) = sk_c6| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c4) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c4) = sk_c6| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c4| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c4| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c7) = sk_c4| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f24,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f25,negated_conjecture,(
% 0.14/0.39 (![X2,X3,X4,X5,X1]: (( multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| multiply(sk_c7,X4) != sk_c6| multiply(X5,sk_c7) != X4| inverse(X5) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| inverse(sk_c6) != sk_c7 ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c4)=sk_c6|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c4)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c4)=sk_c6|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c4|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c4|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c4|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 (![X1]: (((![X5]: ((![X4]: (((![X3]: (((![X2]: (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~multiply(sk_c7,X4)=sk_c6)|~multiply(X5,sk_c7)=X4))|~inverse(X5)=sk_c7))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~inverse(sk_c6)=sk_c7),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~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|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(sk_c6)=sk_c7)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.39 fof(f52,definition,(
% 0.14/0.39 sQ0_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c7|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.39 fof(f55,definition,(
% 0.14/0.39 sQ1_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.14/0.39 fof(f59,definition,(
% 0.14/0.39 sQ2_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 inverse(sk_c5)=sk_c8|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.14/0.39 fof(f63,definition,(
% 0.14/0.39 sQ3_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 inverse(sk_c6)=sk_c7|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c7|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 sQ0_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.14/0.39 fof(f67,definition,(
% 0.14/0.39 sQ4_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c8|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 sQ4_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f32,f67,f55])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 sQ4_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f33,f67,f59])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 sQ4_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f34,f67,f63])).
% 0.14/0.39 fof(f73,definition,(
% 0.14/0.39 sQ5_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c7|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 sQ5_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f35,f73,f55])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 sQ5_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f36,f73,f59])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f37,f73,f63])).
% 0.14/0.39 fof(f79,definition,(
% 0.14/0.39 sQ6_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f38,f79,f55])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 sQ6_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f39,f79,f59])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 sQ6_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f40,f79,f63])).
% 0.14/0.39 fof(f85,definition,(
% 0.14/0.39 sQ7_spl <=> (multiply(sk_c7,sk_c4)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c4)=sk_c6|~sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 sQ7_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f41,f85,f55])).
% 0.14/0.39 fof(f89,plain,(
% 0.14/0.39 sQ7_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f42,f85,f59])).
% 0.14/0.39 fof(f90,plain,(
% 0.14/0.39 sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f43,f85,f63])).
% 0.14/0.39 fof(f91,definition,(
% 0.14/0.39 sQ8_spl <=> (multiply(sk_c3,sk_c7)=sk_c4)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f92,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c4|~sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 sQ8_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f44,f91,f55])).
% 0.14/0.39 fof(f95,plain,(
% 0.14/0.39 sQ8_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f45,f91,f59])).
% 0.14/0.39 fof(f96,plain,(
% 0.14/0.39 sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f46,f91,f63])).
% 0.14/0.39 fof(f97,definition,(
% 0.14/0.39 sQ9_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c7|~sQ9_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 sQ9_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f47,f97,f55])).
% 0.14/0.39 fof(f101,plain,(
% 0.14/0.39 sQ9_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f48,f97,f59])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 sQ9_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f49,f97,f63])).
% 0.14/0.39 fof(f103,definition,(
% 0.14/0.39 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.39 fof(f106,definition,(
% 0.14/0.39 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.39 fof(f109,definition,(
% 0.14/0.39 ![X2,X3]: (sQ12_spl <=> (~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ12_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 sQ10_spl|sQ11_spl|sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f51,f103,f106,f109,f63])).
% 0.14/0.39 fof(f113,plain,(
% 0.14/0.39 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.14/0.39 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.14/0.39 fof(f119,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f28])).
% 0.14/0.39 fof(f141,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c4)=sk_c6|~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f92,f113])).
% 0.14/0.39 fof(f149,plain,(
% 0.14/0.39 ~sQ7_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f141,f85,f97,f109,f91])).
% 0.14/0.39 fof(f150,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ5_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f107,f74])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ6_spl|~sQ11_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f80,f150])).
% 0.14/0.39 fof(f154,plain,(
% 0.14/0.39 $false|~sQ6_spl|~sQ11_spl|~sQ5_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f153])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 ~sQ6_spl|~sQ11_spl|~sQ5_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f154])).
% 0.14/0.39 fof(f157,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=identity|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f64,f27])).
% 0.14/0.39 fof(f161,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f26,f161])).
% 0.14/0.39 fof(f164,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f157,f28])).
% 0.14/0.39 fof(f165,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ3_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f26,f164])).
% 0.14/0.39 fof(f185,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f26,f162])).
% 0.14/0.39 fof(f188,plain,(
% 0.14/0.39 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f53,f162])).
% 0.14/0.39 fof(f193,plain,(
% 0.14/0.39 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f162])).
% 0.14/0.39 fof(f196,plain,(
% 0.14/0.39 sk_c8=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f68,f188])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f60,f193])).
% 0.14/0.39 fof(f205,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f185,f162])).
% 0.14/0.39 fof(f208,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f196,f162])).
% 0.14/0.39 fof(f211,plain,(
% 0.14/0.39 sk_c7=identity|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f27,f208])).
% 0.14/0.39 fof(f225,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c8|~sQ10_spl|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f104,f53])).
% 0.14/0.39 fof(f226,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c8|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f104,f56])).
% 0.14/0.39 fof(f231,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|~sQ4_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f68,f225])).
% 0.14/0.39 fof(f232,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f231])).
% 0.14/0.39 fof(f233,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f232])).
% 0.14/0.39 fof(f234,plain,(
% 0.14/0.39 ~sk_c8=sk_c8|~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f60,f226])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f234])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f235])).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f162,f240])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f211,f27])).
% 0.14/0.39 fof(f293,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(identity)=sk_c7|~sQ12_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f241,f113])).
% 0.14/0.39 fof(f296,definition,(
% 0.14/0.39 sQ15_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f299,definition,(
% 0.14/0.39 sQ16_spl <=> (inverse(identity)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f301,plain,(
% 0.14/0.39 ~inverse(identity)=sk_c7|sQ16_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f299])).
% 0.14/0.39 fof(f302,plain,(
% 0.14/0.39 ~sQ15_spl|~sQ16_spl|~sQ12_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f293,f296,f299,f109])).
% 0.14/0.39 fof(f315,definition,(
% 0.14/0.39 sQ17_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f317,plain,(
% 0.14/0.39 ~inverse(inverse(identity))=sk_c7|sQ17_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f315])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|~inverse(sk_c8)=sk_c7|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f199,f113])).
% 0.14/0.39 fof(f322,definition,(
% 0.14/0.39 sQ18_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f325,definition,(
% 0.14/0.39 sQ19_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f328,plain,(
% 0.14/0.39 ~sQ18_spl|~sQ19_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f319,f322,f325,f109,f59,f55])).
% 0.14/0.39 fof(f338,plain,(
% 0.14/0.39 ~sk_c7=sk_c6|~inverse(sk_c6)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f165,f113])).
% 0.14/0.39 fof(f341,definition,(
% 0.14/0.39 sQ20_spl <=> (sk_c7=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f343,plain,(
% 0.14/0.39 ~sk_c7=sk_c6|sQ20_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f341])).
% 0.14/0.39 fof(f344,plain,(
% 0.14/0.39 ~sQ20_spl|~sQ3_spl|~sQ12_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f338,f341,f63,f109])).
% 0.14/0.39 fof(f346,plain,(
% 0.14/0.39 ~identity=sk_c7|~inverse(sk_c7)=sk_c6|~sQ11_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f157,f107])).
% 0.14/0.39 fof(f350,definition,(
% 0.14/0.39 sQ21_spl <=> (identity=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f352,plain,(
% 0.14/0.39 ~identity=sk_c7|sQ21_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f350])).
% 0.14/0.39 fof(f353,definition,(
% 0.14/0.39 sQ22_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f355,plain,(
% 0.14/0.39 ~inverse(sk_c7)=sk_c6|sQ22_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f353])).
% 0.14/0.39 fof(f356,plain,(
% 0.14/0.39 ~sQ21_spl|~sQ22_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f346,f350,f353,f106,f63])).
% 0.14/0.39 fof(f392,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c7)=multiply(sk_c5,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f199,f119])).
% 0.14/0.39 fof(f397,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f56,f392])).
% 0.14/0.39 fof(f401,plain,(
% 0.14/0.39 inverse(identity)=identity),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f205,f27])).
% 0.14/0.39 fof(f407,plain,(
% 0.14/0.39 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~sQ11_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f27,f107])).
% 0.14/0.39 fof(f410,definition,(
% 0.14/0.39 sQ26_spl <=> (inverse(inverse(sk_c6))=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f413,plain,(
% 0.14/0.39 ~sQ21_spl|~sQ26_spl|~sQ11_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f407,f350,f410,f106])).
% 0.14/0.39 fof(f422,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f397,f162])).
% 0.14/0.39 fof(f424,plain,(
% 0.14/0.39 sk_c7=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f27,f422])).
% 0.14/0.39 fof(f425,plain,(
% 0.14/0.39 $false|sQ21_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f424,f352])).
% 0.14/0.39 fof(f426,plain,(
% 0.14/0.39 sQ21_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f425])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 inverse(identity)=sk_c7|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f424,f401])).
% 0.14/0.39 fof(f429,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f424,f27])).
% 0.14/0.39 fof(f435,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f424,f241])).
% 0.14/0.39 fof(f436,plain,(
% 0.14/0.39 inverse(sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f428])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 ~sk_c7=sk_c6|~sQ2_spl|~sQ1_spl|sQ22_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f436,f355])).
% 0.14/0.39 fof(f467,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c7))=sk_c7|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f317])).
% 0.14/0.39 fof(f468,plain,(
% 0.14/0.39 ~inverse(sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f467])).
% 0.14/0.39 fof(f469,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f468])).
% 0.14/0.39 fof(f470,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f469])).
% 0.14/0.39 fof(f471,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f470])).
% 0.14/0.39 fof(f472,plain,(
% 0.14/0.39 ~inverse(sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f424,f301])).
% 0.14/0.39 fof(f473,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f436,f472])).
% 0.14/0.39 fof(f474,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f473])).
% 0.14/0.39 fof(f475,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f474])).
% 0.14/0.39 fof(f497,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f64,f429])).
% 0.14/0.39 fof(f502,plain,(
% 0.14/0.39 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f435,f497])).
% 0.14/0.39 fof(f503,plain,(
% 0.14/0.39 $false|sQ20_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f502,f343])).
% 0.14/0.39 fof(f504,plain,(
% 0.14/0.39 sQ20_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f503])).
% 0.14/0.39 fof(f510,plain,(
% 0.14/0.39 ~sQ20_spl|~sQ2_spl|~sQ1_spl|sQ22_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f437,f341,f59,f55,f353])).
% 0.14/0.39 fof(f530,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f211,f241])).
% 0.14/0.39 fof(f535,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c3),sk_c4)|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f92,f162])).
% 0.14/0.39 fof(f537,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c7,sk_c4)|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f98,f535])).
% 0.14/0.39 fof(f538,plain,(
% 0.14/0.39 sk_c7=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f530,f537])).
% 0.14/0.39 fof(f541,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f538,f65])).
% 0.14/0.39 fof(f542,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c4,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f538,f530])).
% 0.14/0.39 fof(f545,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f538,f98])).
% 0.14/0.39 fof(f552,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ9_spl|~sQ8_spl|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f538,f245])).
% 0.14/0.39 fof(f558,plain,(
% 0.14/0.39 multiply(sk_c4,sk_c4)=sk_c6|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f538,f86])).
% 0.14/0.39 fof(f559,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c4|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f561,f541])).
% 0.14/0.39 fof(f561,plain,(
% 0.14/0.39 sk_c4=sk_c6|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f542,f558])).
% 0.14/0.39 fof(f565,plain,(
% 0.14/0.39 multiply(sk_c4,sk_c3)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f545,f552])).
% 0.14/0.39 fof(f567,plain,(
% 0.14/0.39 sk_c3=sk_c4|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f542,f565])).
% 0.14/0.39 fof(f569,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f567,f545])).
% 0.14/0.39 fof(f577,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c4|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f567,f559])).
% 0.14/0.39 fof(f578,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c3|~sQ7_spl|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f567,f577])).
% 0.14/0.39 fof(f583,plain,(
% 0.14/0.39 $false|~sQ7_spl|sQ3_spl|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f569,f578])).
% 0.14/0.39 fof(f584,plain,(
% 0.14/0.39 ~sQ7_spl|sQ3_spl|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f583])).
% 0.14/0.39 fof(f585,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f71,f72,f76,f77,f78,f82,f83,f84,f88,f89,f90,f94,f95,f96,f100,f101,f102,f112,f149,f155,f233,f236,f302,f328,f344,f356,f413,f426,f471,f475,f504,f510,f584])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.049324 seconds
% 0.14/0.42 % CPU time: 0.181777 seconds
% 0.14/0.42 % Total memory used: 103.504 MB
% 0.14/0.42 % Net memory used: 103.216 MB
%------------------------------------------------------------------------------