%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP268-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP268-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:10:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,axiom,(
% 0.10/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,axiom,(
% 0.10/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f6,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f7,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f8,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f9,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c1) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f16,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c6,sk_c4) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f17,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c6,sk_c4) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f18,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c6,sk_c4) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f19,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c3,sk_c6) = sk_c4| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f20,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c3,sk_c6) = sk_c4| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f21,negated_conjecture,(
% 0.10/0.38 ( multiply(sk_c3,sk_c6) = sk_c4| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f22,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c3) = sk_c6| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f23,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f24,negated_conjecture,(
% 0.10/0.38 ( inverse(sk_c3) = sk_c6| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f25,negated_conjecture,(
% 0.10/0.38 (![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_c6,X4) != sk_c7| multiply(X5,sk_c6) != X4| inverse(X5) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| inverse(sk_c6) != sk_c7 ) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f26,plain,(
% 0.10/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.38 fof(f27,plain,(
% 0.10/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f28,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f29,plain,(
% 0.10/0.38 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f30,plain,(
% 0.10/0.38 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f31,plain,(
% 0.10/0.38 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f32,plain,(
% 0.10/0.38 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.38 fof(f33,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f34,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c4)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f42,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c4)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f43,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c4)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.38 fof(f44,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c6)=sk_c4|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.38 fof(f45,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c6)=sk_c4|inverse(sk_c5)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c6)=sk_c4|inverse(sk_c6)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.38 fof(f47,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c6|multiply(sk_c5,sk_c8)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c6|inverse(sk_c6)=sk_c7),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 (![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_c6,X4)=sk_c7)|~multiply(X5,sk_c6)=X4))|~inverse(X5)=sk_c6))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~inverse(sk_c6)=sk_c7),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f25])).
% 0.14/0.38 fof(f51,plain,(
% 0.14/0.38 ![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_c6,X2)=sk_c7|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(sk_c6)=sk_c7)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.38 fof(f52,definition,(
% 0.14/0.38 sQ0_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c8)=sk_c7|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.38 fof(f55,definition,(
% 0.14/0.38 sQ1_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 multiply(sk_c5,sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.14/0.38 fof(f59,definition,(
% 0.14/0.38 sQ2_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 inverse(sk_c5)=sk_c8|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 sQ0_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.14/0.38 fof(f63,definition,(
% 0.14/0.38 sQ3_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 inverse(sk_c6)=sk_c7|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 ~inverse(sk_c6)=sk_c7|sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 sQ0_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.14/0.38 fof(f67,definition,(
% 0.14/0.38 sQ4_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c8|~sQ4_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 sQ4_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f32,f67,f55])).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 sQ4_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f33,f67,f59])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 sQ4_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f34,f67,f63])).
% 0.14/0.38 fof(f85,definition,(
% 0.14/0.38 sQ7_spl <=> (multiply(sk_c6,sk_c4)=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c4)=sk_c7|~sQ7_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 sQ7_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f41,f85,f55])).
% 0.14/0.38 fof(f89,plain,(
% 0.14/0.38 sQ7_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f42,f85,f59])).
% 0.14/0.38 fof(f90,plain,(
% 0.14/0.38 sQ7_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f43,f85,f63])).
% 0.14/0.38 fof(f91,definition,(
% 0.14/0.38 sQ8_spl <=> (multiply(sk_c3,sk_c6)=sk_c4)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f92,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c6)=sk_c4|~sQ8_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 sQ8_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f44,f91,f55])).
% 0.14/0.38 fof(f95,plain,(
% 0.14/0.38 sQ8_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f45,f91,f59])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 sQ8_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f46,f91,f63])).
% 0.14/0.38 fof(f97,definition,(
% 0.14/0.38 sQ9_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c6|~sQ9_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 sQ9_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f47,f97,f55])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 sQ9_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f48,f97,f59])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 sQ9_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f49,f97,f63])).
% 0.14/0.38 fof(f103,definition,(
% 0.14/0.38 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ10_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.38 fof(f106,definition,(
% 0.14/0.38 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.38 fof(f109,definition,(
% 0.14/0.38 ![X2,X3]: (sQ12_spl <=> (~multiply(sk_c6,X2)=sk_c7|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f110,plain,(
% 0.14/0.38 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c7|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c6|~sQ12_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 sQ10_spl|sQ11_spl|sQ12_spl|~sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f51,f103,f106,f109,f63])).
% 0.14/0.38 fof(f113,plain,(
% 0.14/0.38 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c7|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.14/0.38 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.14/0.38 fof(f117,plain,(
% 0.14/0.38 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ7_spl)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f86,f28])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 ~multiply(sk_c7,sk_c6)=sk_c7|~inverse(sk_c4)=sk_c6|~sQ12_spl|~sQ7_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f117,f113])).
% 0.14/0.38 fof(f143,plain,(
% 0.14/0.38 ~multiply(sk_c6,sk_c4)=sk_c7|~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ8_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f92,f113])).
% 0.14/0.38 fof(f144,definition,(
% 0.14/0.38 sQ13_spl <=> (multiply(sk_c7,sk_c6)=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f146,plain,(
% 0.14/0.38 ~multiply(sk_c7,sk_c6)=sk_c7|sQ13_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f144])).
% 0.14/0.38 fof(f147,definition,(
% 0.14/0.38 sQ14_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f150,plain,(
% 0.14/0.38 ~sQ13_spl|~sQ14_spl|~sQ12_spl|~sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f140,f144,f147,f109,f85])).
% 0.14/0.38 fof(f155,plain,(
% 0.14/0.38 ~sQ7_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f143,f85,f97,f109,f91])).
% 0.14/0.38 fof(f157,plain,(
% 0.14/0.38 ~sk_c4=sk_c7|~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f92,f107])).
% 0.14/0.38 fof(f158,definition,(
% 0.14/0.38 sQ16_spl <=> (sk_c4=sk_c7)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f160,plain,(
% 0.14/0.39 ~sk_c4=sk_c7|sQ16_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f158])).
% 0.14/0.39 fof(f161,plain,(
% 0.14/0.39 ~sQ16_spl|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f157,f158,f97,f106,f91])).
% 0.14/0.39 fof(f163,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(f166,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(f167,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f26,f166])).
% 0.14/0.39 fof(f168,plain,(
% 0.14/0.39 ~identity=sk_c7|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f163,f146])).
% 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,f167])).
% 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,f167])).
% 0.14/0.39 fof(f189,plain,(
% 0.14/0.39 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f167])).
% 0.14/0.39 fof(f192,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(f193,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,f189])).
% 0.14/0.39 fof(f199,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f185,f167])).
% 0.14/0.39 fof(f202,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)],[f192,f167])).
% 0.14/0.39 fof(f205,plain,(
% 0.14/0.39 sk_c7=identity|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f27,f202])).
% 0.14/0.39 fof(f206,plain,(
% 0.14/0.39 $false|~sQ3_spl|sQ13_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f205,f168])).
% 0.14/0.39 fof(f207,plain,(
% 0.14/0.39 ~sQ3_spl|sQ13_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f206])).
% 0.14/0.39 fof(f209,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f193,f167])).
% 0.14/0.39 fof(f212,plain,(
% 0.14/0.39 sk_c7=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f27,f209])).
% 0.14/0.39 fof(f213,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(f214,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(f221,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,f214])).
% 0.14/0.39 fof(f222,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f221])).
% 0.14/0.39 fof(f223,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f222])).
% 0.14/0.39 fof(f242,definition,(
% 0.14/0.39 sQ22_spl <=> (sk_c7=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f244,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|sQ22_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f242])).
% 0.14/0.39 fof(f246,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f213,f67,f103,f52])).
% 0.14/0.39 fof(f252,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)],[f205,f27])).
% 0.14/0.39 fof(f253,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f205,f26])).
% 0.14/0.39 fof(f269,plain,(
% 0.14/0.39 sk_c4=multiply(inverse(sk_c6),sk_c7)|~sQ7_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f86,f167])).
% 0.14/0.39 fof(f271,plain,(
% 0.14/0.39 sk_c4=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f64,f269])).
% 0.14/0.39 fof(f272,plain,(
% 0.14/0.39 sk_c4=sk_c7|~sQ4_spl|~sQ0_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f253,f271])).
% 0.14/0.39 fof(f273,plain,(
% 0.14/0.39 $false|sQ16_spl|~sQ4_spl|~sQ0_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f272,f160])).
% 0.14/0.39 fof(f274,plain,(
% 0.14/0.39 sQ16_spl|~sQ4_spl|~sQ0_spl|~sQ3_spl|~sQ7_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f273])).
% 0.14/0.39 fof(f275,plain,(
% 0.14/0.39 $false|sQ22_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f244])).
% 0.14/0.39 fof(f276,plain,(
% 0.14/0.39 sQ22_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f275])).
% 0.14/0.39 fof(f280,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c3),sk_c4)|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f92,f167])).
% 0.14/0.39 fof(f285,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f212,f26])).
% 0.14/0.39 fof(f316,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f212,f27])).
% 0.14/0.39 fof(f320,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(sk_c7,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f316,f28])).
% 0.14/0.39 fof(f325,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f167,f320])).
% 0.14/0.39 fof(f326,plain,(
% 0.14/0.39 ~multiply(sk_c6,sk_c6)=sk_c7|~inverse(sk_c7)=sk_c6|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f285,f113])).
% 0.14/0.39 fof(f329,definition,(
% 0.14/0.39 sQ24_spl <=> (multiply(sk_c6,sk_c6)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f331,plain,(
% 0.14/0.39 ~multiply(sk_c6,sk_c6)=sk_c7|sQ24_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f329])).
% 0.14/0.39 fof(f332,definition,(
% 0.14/0.39 sQ25_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f334,plain,(
% 0.14/0.39 ~inverse(sk_c7)=sk_c6|sQ25_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f332])).
% 0.14/0.39 fof(f335,plain,(
% 0.14/0.39 ~sQ24_spl|~sQ25_spl|~sQ12_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f326,f329,f332,f109,f59,f55])).
% 0.14/0.39 fof(f336,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,f316])).
% 0.14/0.39 fof(f338,plain,(
% 0.14/0.39 sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f285,f336])).
% 0.14/0.39 fof(f340,plain,(
% 0.14/0.39 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f338,f64])).
% 0.14/0.39 fof(f352,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f338,f325])).
% 0.14/0.39 fof(f355,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ25_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f338,f334])).
% 0.14/0.39 fof(f356,plain,(
% 0.14/0.39 $false|sQ25_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f340,f355])).
% 0.14/0.39 fof(f357,plain,(
% 0.14/0.39 sQ25_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f356])).
% 0.14/0.39 fof(f471,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(inverse(sk_c7)),X0)|~sQ4_spl|~sQ0_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f205,f199])).
% 0.14/0.39 fof(f474,plain,(
% 0.14/0.39 inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f252,f471])).
% 0.14/0.39 fof(f490,plain,(
% 0.14/0.39 sk_c6=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f491,f86])).
% 0.14/0.39 fof(f491,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c6,sk_c4)|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f98,f280])).
% 0.14/0.39 fof(f492,plain,(
% 0.14/0.39 sk_c4=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f491,f167])).
% 0.14/0.39 fof(f496,plain,(
% 0.14/0.39 sk_c4=sk_c7|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f252,f492])).
% 0.14/0.39 fof(f500,plain,(
% 0.14/0.39 inverse(sk_c7)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f490,f474])).
% 0.14/0.39 fof(f510,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f490,f65])).
% 0.14/0.39 fof(f516,plain,(
% 0.14/0.39 inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f490,f500])).
% 0.14/0.39 fof(f522,plain,(
% 0.14/0.39 sk_c6=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f496,f490])).
% 0.14/0.39 fof(f523,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f522,f510])).
% 0.14/0.39 fof(f534,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f522,f523])).
% 0.14/0.39 fof(f537,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f522,f516])).
% 0.14/0.39 fof(f538,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c4|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f522,f537])).
% 0.14/0.39 fof(f544,plain,(
% 0.14/0.39 ~sk_c4=sk_c4|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f538,f534])).
% 0.14/0.39 fof(f545,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.14/0.39 fof(f546,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f545])).
% 0.14/0.39 fof(f604,plain,(
% 0.14/0.39 ~sk_c6=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f352,f331])).
% 0.14/0.39 fof(f605,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f338,f604])).
% 0.14/0.39 fof(f606,plain,(
% 0.14/0.39 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f605])).
% 0.14/0.39 fof(f607,plain,(
% 0.14/0.39 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f606])).
% 0.14/0.39 fof(f634,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f338,f107])).
% 0.14/0.39 fof(f686,definition,(
% 0.14/0.39 sQ26_spl <=> (sk_c4=sk_c4)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f688,plain,(
% 0.14/0.39 ~sk_c4=sk_c4|sQ26_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f686])).
% 0.14/0.39 fof(f701,plain,(
% 0.14/0.39 $false|sQ26_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f688])).
% 0.14/0.39 fof(f702,plain,(
% 0.14/0.39 sQ26_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f701])).
% 0.14/0.39 fof(f706,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f352,f634])).
% 0.14/0.39 fof(f710,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f340,f706])).
% 0.14/0.39 fof(f711,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f710])).
% 0.14/0.39 fof(f712,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f711])).
% 0.14/0.39 fof(f713,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f71,f72,f88,f89,f90,f94,f95,f96,f100,f101,f102,f112,f150,f155,f161,f207,f223,f246,f274,f276,f335,f357,f546,f607,f702,f712])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.041944 seconds
% 0.14/0.41 % CPU time: 0.135127 seconds
% 0.14/0.41 % Total memory used: 30.423 MB
% 0.14/0.41 % Net memory used: 30.361 MB
%------------------------------------------------------------------------------