%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP214-1 : 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 : n007.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP214-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:04:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,axiom,(
% 0.13/0.44 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,axiom,(
% 0.13/0.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,axiom,(
% 0.13/0.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f5,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f6,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f7,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f8,negated_conjecture,(
% 0.13/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c7) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f9,negated_conjecture,(
% 0.13/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f10,negated_conjecture,(
% 0.13/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f11,negated_conjecture,(
% 0.13/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f12,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f13,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f14,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f15,negated_conjecture,(
% 0.13/0.44 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f16,negated_conjecture,(
% 0.13/0.44 (![X3,X4,X2,X1,X5]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,X4) != sk_c6| multiply(X2,sk_c7) != X1| inverse(X2) != sk_c7| multiply(X5,X1) != sk_c6| inverse(X5) != X1 ) ))),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f17,plain,(
% 0.13/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.44 fof(f18,plain,(
% 0.13/0.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f19,plain,(
% 0.13/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f20,plain,(
% 0.13/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.44 fof(f21,plain,(
% 0.13/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.44 fof(f22,plain,(
% 0.13/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.44 fof(f23,plain,(
% 0.13/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.44 fof(f24,plain,(
% 0.13/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c7)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.44 fof(f25,plain,(
% 0.13/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.44 fof(f26,plain,(
% 0.13/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.44 fof(f27,plain,(
% 0.13/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.44 fof(f28,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.44 fof(f29,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.44 fof(f30,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.44 fof(f31,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.44 fof(f32,plain,(
% 0.13/0.44 ![X1,X5]: (((![X2]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|(![X4]: ~multiply(sk_c7,X4)=sk_c6))|~multiply(X2,sk_c7)=X1)|~inverse(X2)=sk_c7))|~multiply(X5,X1)=sk_c6)|~inverse(X5)=X1)),
% 0.13/0.44 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.44 fof(f33,plain,(
% 0.13/0.44 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X3|~inverse(X2)=sk_c7|~multiply(X4,X3)=sk_c6|~inverse(X4)=X3)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.44 fof(f34,definition,(
% 0.13/0.44 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f35,plain,(
% 0.13/0.44 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f34])).
% 0.13/0.44 fof(f37,definition,(
% 0.13/0.44 sQ1_spl <=> (multiply(sk_c3,sk_c7)=sk_c5)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f38,plain,(
% 0.13/0.44 multiply(sk_c3,sk_c7)=sk_c5|~sQ1_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f37])).
% 0.13/0.44 fof(f40,plain,(
% 0.13/0.44 sQ0_spl|sQ1_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f20,f34,f37])).
% 0.13/0.44 fof(f41,definition,(
% 0.13/0.44 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f42,plain,(
% 0.13/0.44 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f41])).
% 0.13/0.44 fof(f44,plain,(
% 0.13/0.44 sQ0_spl|sQ2_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f21,f34,f41])).
% 0.13/0.44 fof(f45,definition,(
% 0.13/0.44 sQ3_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f46,plain,(
% 0.13/0.44 multiply(sk_c4,sk_c5)=sk_c6|~sQ3_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f45])).
% 0.13/0.44 fof(f48,plain,(
% 0.13/0.44 sQ0_spl|sQ3_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f22,f34,f45])).
% 0.13/0.44 fof(f49,definition,(
% 0.13/0.44 sQ4_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f50,plain,(
% 0.13/0.44 inverse(sk_c4)=sk_c5|~sQ4_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.44 fof(f52,plain,(
% 0.13/0.44 sQ0_spl|sQ4_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f23,f34,f49])).
% 0.13/0.44 fof(f53,definition,(
% 0.13/0.44 sQ5_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f54,plain,(
% 0.13/0.44 inverse(sk_c1)=sk_c7|~sQ5_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f53])).
% 0.13/0.44 fof(f56,plain,(
% 0.13/0.44 sQ5_spl|sQ1_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f24,f53,f37])).
% 0.13/0.44 fof(f57,plain,(
% 0.13/0.44 sQ5_spl|sQ2_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f25,f53,f41])).
% 0.13/0.44 fof(f58,plain,(
% 0.13/0.44 sQ5_spl|sQ3_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f26,f53,f45])).
% 0.13/0.44 fof(f59,plain,(
% 0.13/0.44 sQ5_spl|sQ4_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f27,f53,f49])).
% 0.13/0.44 fof(f60,definition,(
% 0.13/0.44 sQ6_spl <=> (multiply(sk_c7,sk_c2)=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f61,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c2)=sk_c6|~sQ6_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f60])).
% 0.13/0.44 fof(f63,plain,(
% 0.13/0.44 sQ6_spl|sQ1_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f28,f60,f37])).
% 0.13/0.44 fof(f64,plain,(
% 0.13/0.44 sQ6_spl|sQ2_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f29,f60,f41])).
% 0.13/0.44 fof(f65,plain,(
% 0.13/0.44 sQ6_spl|sQ3_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f30,f60,f45])).
% 0.13/0.44 fof(f66,plain,(
% 0.13/0.44 sQ6_spl|sQ4_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f31,f60,f49])).
% 0.13/0.44 fof(f67,definition,(
% 0.13/0.44 ![X0]: (sQ7_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f68,plain,(
% 0.13/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ7_spl)),
% 0.13/0.44 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.44 fof(f70,definition,(
% 0.13/0.44 ![X1]: (sQ8_spl <=> (~multiply(sk_c7,X1)=sk_c6))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f71,plain,(
% 0.13/0.44 ![X0]: (~multiply(sk_c7,X0)=sk_c6|~sQ8_spl)),
% 0.13/0.44 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.44 fof(f73,definition,(
% 0.13/0.44 ![X2,X3,X4]: (sQ9_spl <=> (~multiply(X2,sk_c7)=X3|~inverse(X2)=sk_c7|~multiply(X4,X3)=sk_c6|~inverse(X4)=X3))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f74,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~multiply(X0,sk_c7)=X1|~inverse(X0)=sk_c7|~multiply(X2,X1)=sk_c6|~inverse(X2)=X1|~sQ9_spl)),
% 0.13/0.44 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.44 fof(f76,plain,(
% 0.13/0.44 sQ7_spl|sQ8_spl|sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f33,f67,f70,f73])).
% 0.13/0.44 fof(f77,plain,(
% 0.13/0.44 ![X0,X1]: (~inverse(X0)=sk_c7|~multiply(X1,multiply(X0,sk_c7))=sk_c6|~inverse(X1)=multiply(X0,sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(destructive_equality_resolution,[status(thm)],[f74])).
% 0.13/0.44 fof(f79,plain,(
% 0.13/0.44 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f38,f19])).
% 0.13/0.44 fof(f80,plain,(
% 0.13/0.44 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~sQ3_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f46,f19])).
% 0.13/0.44 fof(f121,plain,(
% 0.13/0.44 ![X0]: (~inverse(sk_c3)=sk_c7|~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=multiply(sk_c3,sk_c7)|~sQ9_spl|~sQ1_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f38,f77])).
% 0.13/0.44 fof(f172,definition,(
% 0.13/0.44 ![X0]: (sQ24_spl <=> (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=multiply(sk_c3,sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f175,plain,(
% 0.13/0.44 ~sQ2_spl|sQ24_spl|~sQ9_spl|~sQ1_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f121,f41,f172,f73,f37])).
% 0.13/0.44 fof(f180,plain,(
% 0.13/0.44 ~inverse(sk_c1)=sk_c7|~sQ7_spl|~sQ0_spl),
% 0.13/0.44 inference(resolution,[status(thm)],[f68,f35])).
% 0.13/0.44 fof(f183,plain,(
% 0.13/0.44 ~sk_c7=sk_c7|~sQ5_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f54,f180])).
% 0.13/0.44 fof(f184,plain,(
% 0.13/0.44 $false|~sQ5_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.44 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.13/0.44 fof(f185,plain,(
% 0.13/0.44 ~sQ5_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f184])).
% 0.13/0.44 fof(f189,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c1)=identity|~sQ5_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f54,f18])).
% 0.13/0.44 fof(f190,plain,(
% 0.13/0.44 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.13/0.44 fof(f191,plain,(
% 0.13/0.44 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f17,f190])).
% 0.13/0.44 fof(f195,plain,(
% 0.13/0.44 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~sQ5_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f189,f19])).
% 0.13/0.44 fof(f196,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~sQ5_spl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f17,f195])).
% 0.13/0.44 fof(f202,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f17,f191])).
% 0.13/0.44 fof(f207,plain,(
% 0.13/0.44 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f35,f191])).
% 0.13/0.44 fof(f215,plain,(
% 0.13/0.44 sk_c7=multiply(sk_c7,sk_c6)|~sQ5_spl|~sQ0_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f54,f207])).
% 0.13/0.44 fof(f221,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f202,f191])).
% 0.13/0.44 fof(f224,plain,(
% 0.13/0.44 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ5_spl|~sQ0_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f215,f191])).
% 0.13/0.44 fof(f227,plain,(
% 0.13/0.44 sk_c6=identity|~sQ5_spl|~sQ0_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f18,f224])).
% 0.13/0.44 fof(f231,plain,(
% 0.13/0.44 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ0_spl)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f227,f18])).
% 0.13/0.44 fof(f242,plain,(
% 0.13/0.44 ![X0]: (~inverse(X0)=sk_c7|~sk_c7=sk_c6|~inverse(inverse(X0))=multiply(X0,sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f191,f77])).
% 0.13/0.44 fof(f247,definition,(
% 0.13/0.44 ![X0]: (sQ26_spl <=> (~inverse(X0)=sk_c7|~inverse(inverse(X0))=multiply(X0,sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f250,definition,(
% 0.13/0.44 sQ27_spl <=> (sk_c7=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f253,plain,(
% 0.13/0.44 sQ26_spl|~sQ27_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f242,f247,f250,f73])).
% 0.13/0.44 fof(f260,plain,(
% 0.13/0.44 $false|~sQ8_spl|~sQ6_spl),
% 0.13/0.44 inference(backward_subsumption_resolution,[status(thm)],[f61,f71])).
% 0.13/0.44 fof(f261,plain,(
% 0.13/0.44 ~sQ8_spl|~sQ6_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f260])).
% 0.13/0.44 fof(f262,plain,(
% 0.13/0.44 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f42,f191])).
% 0.13/0.44 fof(f263,plain,(
% 0.13/0.44 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ3_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f46,f191])).
% 0.13/0.44 fof(f265,plain,(
% 0.13/0.44 sk_c5=multiply(sk_c5,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f50,f263])).
% 0.13/0.44 fof(f270,plain,(
% 0.13/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f191,f202])).
% 0.13/0.44 fof(f276,plain,(
% 0.13/0.44 sk_c7=multiply(inverse(sk_c3),sk_c5)|~sQ1_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f38,f191])).
% 0.13/0.44 fof(f278,plain,(
% 0.13/0.44 sk_c7=multiply(sk_c7,sk_c5)|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f42,f276])).
% 0.13/0.44 fof(f294,plain,(
% 0.13/0.44 ~inverse(sk_c1)=sk_c7|~sk_c7=sk_c6|~inverse(sk_c7)=multiply(sk_c1,sk_c7)|~sQ9_spl|~sQ5_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f196,f77])).
% 0.13/0.44 fof(f299,plain,(
% 0.13/0.44 ![X0]: (~inverse(identity)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=multiply(identity,sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f270,f77])).
% 0.13/0.44 fof(f300,plain,(
% 0.13/0.44 ![X0]: (~inverse(inverse(identity))=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=multiply(inverse(identity),sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f202,f77])).
% 0.13/0.44 fof(f309,definition,(
% 0.13/0.44 sQ31_spl <=> (inverse(sk_c7)=multiply(sk_c1,sk_c7))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f312,plain,(
% 0.13/0.44 ~sQ5_spl|~sQ27_spl|~sQ31_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f294,f53,f250,f309,f73])).
% 0.13/0.44 fof(f315,definition,(
% 0.13/0.44 sQ32_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f318,definition,(
% 0.13/0.44 ![X0]: (sQ33_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=multiply(identity,sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f321,plain,(
% 0.13/0.44 ~sQ32_spl|sQ33_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f299,f315,f318,f73])).
% 0.13/0.44 fof(f322,definition,(
% 0.13/0.44 sQ34_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f325,definition,(
% 0.13/0.44 ![X0]: (sQ35_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=multiply(inverse(identity),sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f328,plain,(
% 0.13/0.44 ~sQ34_spl|sQ35_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f300,f322,f325,f73])).
% 0.13/0.44 fof(f331,plain,(
% 0.13/0.44 multiply(sk_c6,sk_c6)=multiply(sk_c4,sk_c5)|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f265,f80])).
% 0.13/0.44 fof(f337,plain,(
% 0.13/0.44 multiply(sk_c6,sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f46,f331])).
% 0.13/0.44 fof(f343,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c3)=identity|~sQ2_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f42,f18])).
% 0.13/0.44 fof(f347,plain,(
% 0.13/0.44 ![X0]: (~inverse(inverse(sk_c7))=sk_c7|~multiply(X0,identity)=sk_c6|~inverse(X0)=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f18,f77])).
% 0.13/0.44 fof(f348,plain,(
% 0.13/0.44 ![X0]: (~inverse(X0)=sk_c7|~identity=sk_c6|~inverse(inverse(multiply(X0,sk_c7)))=multiply(X0,sk_c7)|~sQ9_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f18,f77])).
% 0.13/0.44 fof(f351,definition,(
% 0.13/0.44 sQ36_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f354,definition,(
% 0.13/0.44 ![X0]: (sQ37_spl <=> (~multiply(X0,identity)=sk_c6|~inverse(X0)=multiply(inverse(sk_c7),sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f357,plain,(
% 0.13/0.44 ~sQ36_spl|sQ37_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f347,f351,f354,f73])).
% 0.13/0.44 fof(f358,definition,(
% 0.13/0.44 ![X0]: (sQ38_spl <=> (~inverse(X0)=sk_c7|~inverse(inverse(multiply(X0,sk_c7)))=multiply(X0,sk_c7)))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f359,plain,(
% 0.13/0.44 ![X0]: (~inverse(X0)=sk_c7|~inverse(inverse(multiply(X0,sk_c7)))=multiply(X0,sk_c7)|~sQ38_spl)),
% 0.13/0.44 inference(component_clause,[status(thm)],[f358])).
% 0.13/0.44 fof(f361,definition,(
% 0.13/0.44 sQ39_spl <=> (identity=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f364,plain,(
% 0.13/0.44 sQ38_spl|~sQ39_spl|~sQ9_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f348,f358,f361,f73])).
% 0.13/0.44 fof(f366,plain,(
% 0.13/0.44 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f337,f191])).
% 0.13/0.44 fof(f368,plain,(
% 0.13/0.44 sk_c6=identity|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f18,f366])).
% 0.13/0.44 fof(f370,plain,(
% 0.13/0.44 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ3_spl)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f368,f18])).
% 0.13/0.44 fof(f372,plain,(
% 0.13/0.44 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.13/0.44 inference(backward_demodulation,[status(thm)],[f368,f270])).
% 0.13/0.44 fof(f385,plain,(
% 0.13/0.44 multiply(sk_c7,sk_c3)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f368,f343])).
% 0.13/0.44 fof(f394,plain,(
% 0.13/0.44 ![X0]: (~inverse(X0)=sk_c7|~sk_c6=sk_c6|~inverse(inverse(multiply(X0,sk_c7)))=multiply(X0,sk_c7)|~sQ9_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f370,f77])).
% 0.13/0.44 fof(f401,definition,(
% 0.13/0.44 sQ41_spl <=> (sk_c6=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f403,plain,(
% 0.13/0.44 ~sk_c6=sk_c6|sQ41_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f401])).
% 0.13/0.44 fof(f404,plain,(
% 0.13/0.44 sQ38_spl|~sQ41_spl|~sQ9_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f394,f358,f401,f73,f49,f45])).
% 0.13/0.44 fof(f435,plain,(
% 0.13/0.44 ~sk_c5=sk_c6|~inverse(sk_c3)=sk_c7|~sQ7_spl|~sQ1_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f38,f68])).
% 0.13/0.44 fof(f440,definition,(
% 0.13/0.44 sQ44_spl <=> (sk_c5=sk_c6)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f442,plain,(
% 0.13/0.44 ~sk_c5=sk_c6|sQ44_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f440])).
% 0.13/0.44 fof(f443,plain,(
% 0.13/0.44 ~sQ44_spl|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f435,f440,f41,f67,f37])).
% 0.13/0.44 fof(f446,plain,(
% 0.13/0.44 $false|sQ41_spl),
% 0.13/0.44 inference(trivial_equality_resolution,[status(thm)],[f403])).
% 0.13/0.44 fof(f447,plain,(
% 0.13/0.44 sQ41_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f446])).
% 0.13/0.44 fof(f474,plain,(
% 0.13/0.44 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ0_spl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f227,f18])).
% 0.13/0.44 fof(f478,plain,(
% 0.13/0.44 ![X0]: (~inverse(X0)=sk_c7|~sk_c6=sk_c6|~inverse(inverse(multiply(X0,sk_c7)))=multiply(X0,sk_c7)|~sQ9_spl|~sQ5_spl|~sQ0_spl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f474,f77])).
% 0.13/0.44 fof(f482,plain,(
% 0.13/0.44 sQ38_spl|~sQ41_spl|~sQ9_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f478,f358,f401,f73,f53,f34])).
% 0.13/0.44 fof(f554,plain,(
% 0.13/0.44 multiply(sk_c5,sk_c5)=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f278,f79])).
% 0.13/0.44 fof(f555,plain,(
% 0.13/0.44 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f278,f191])).
% 0.13/0.44 fof(f557,plain,(
% 0.13/0.44 multiply(sk_c5,sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f38,f554])).
% 0.13/0.44 fof(f558,plain,(
% 0.13/0.44 sk_c5=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f370,f555])).
% 0.13/0.44 fof(f559,plain,(
% 0.13/0.44 $false|sQ44_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f558,f442])).
% 0.13/0.44 fof(f560,plain,(
% 0.13/0.44 sQ44_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f559])).
% 0.13/0.46 fof(f562,plain,(
% 0.13/0.46 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f558,f370])).
% 0.13/0.46 fof(f563,plain,(
% 0.13/0.46 multiply(sk_c7,sk_c3)=sk_c5|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f558,f385])).
% 0.13/0.46 fof(f567,plain,(
% 0.13/0.46 ![X0]: (multiply(sk_c5,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f558,f372])).
% 0.13/0.46 fof(f589,plain,(
% 0.13/0.46 multiply(sk_c5,sk_c4)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f50,f562])).
% 0.13/0.46 fof(f593,plain,(
% 0.13/0.46 sk_c4=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f567,f589])).
% 0.13/0.46 fof(f608,plain,(
% 0.13/0.46 sk_c4=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f593,f558])).
% 0.13/0.46 fof(f610,plain,(
% 0.13/0.46 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f593,f50])).
% 0.13/0.46 fof(f611,plain,(
% 0.13/0.46 multiply(sk_c3,sk_c7)=sk_c4|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f593,f38])).
% 0.13/0.46 fof(f626,plain,(
% 0.13/0.46 multiply(sk_c7,sk_c3)=sk_c4|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f593,f563])).
% 0.13/0.46 fof(f666,plain,(
% 0.13/0.46 ![X0]: (~multiply(sk_c7,X0)=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ8_spl)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f608,f71])).
% 0.13/0.46 fof(f667,plain,(
% 0.13/0.46 $false|~sQ8_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.46 inference(backward_subsumption_resolution,[status(thm)],[f626,f666])).
% 0.13/0.46 fof(f668,plain,(
% 0.13/0.46 ~sQ8_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f667])).
% 0.13/0.46 fof(f749,definition,(
% 0.13/0.46 sQ48_spl <=> (sk_c4=sk_c4)),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f751,plain,(
% 0.13/0.46 ~sk_c4=sk_c4|sQ48_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f749])).
% 0.13/0.46 fof(f858,plain,(
% 0.13/0.46 ![X0]: (X0=multiply(inverse(inverse(sk_c6)),X0)|~sQ5_spl|~sQ0_spl)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f227,f221])).
% 0.13/0.46 fof(f861,plain,(
% 0.13/0.46 inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ0_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f231,f858])).
% 0.13/0.46 fof(f973,definition,(
% 0.13/0.46 sQ53_spl <=> (inverse(sk_c7)=multiply(sk_c3,sk_c7))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f983,plain,(
% 0.13/0.46 ~inverse(sk_c3)=sk_c7|~sk_c7=sk_c6|~inverse(sk_c7)=multiply(sk_c3,sk_c7)|~sQ9_spl|~sQ2_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f262,f77])).
% 0.13/0.46 fof(f989,plain,(
% 0.13/0.46 ~sQ2_spl|~sQ27_spl|~sQ53_spl|~sQ9_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f983,f41,f250,f973,f73])).
% 0.13/0.46 fof(f1045,plain,(
% 0.13/0.46 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ2_spl|~sQ1_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f557,f191])).
% 0.13/0.46 fof(f1047,plain,(
% 0.13/0.46 sk_c5=sk_c6|~sQ5_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f231,f1045])).
% 0.13/0.46 fof(f1050,plain,(
% 0.13/0.46 inverse(sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f1047,f861])).
% 0.13/0.46 fof(f1057,plain,(
% 0.13/0.46 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f1047,f1050])).
% 0.13/0.46 fof(f1134,plain,(
% 0.13/0.46 $false|sQ48_spl),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f751])).
% 0.13/0.46 fof(f1135,plain,(
% 0.13/0.46 sQ48_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f1134])).
% 0.13/0.46 fof(f1253,plain,(
% 0.13/0.46 ~inverse(sk_c3)=sk_c7|~inverse(inverse(sk_c4))=multiply(sk_c3,sk_c7)|~sQ38_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f611,f359])).
% 0.13/0.46 fof(f1257,definition,(
% 0.13/0.46 sQ54_spl <=> (inverse(inverse(sk_c4))=multiply(sk_c3,sk_c7))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f1259,plain,(
% 0.13/0.46 ~inverse(inverse(sk_c4))=multiply(sk_c3,sk_c7)|sQ54_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f1257])).
% 0.13/0.46 fof(f1260,plain,(
% 0.13/0.46 ~sQ2_spl|~sQ54_spl|~sQ38_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f1253,f41,f1257,f358,f45,f49,f37])).
% 0.13/0.46 fof(f1270,plain,(
% 0.13/0.46 ~inverse(sk_c4)=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ54_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f610,f1259])).
% 0.13/0.46 fof(f1271,plain,(
% 0.13/0.46 ~sk_c4=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ54_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f610,f1270])).
% 0.13/0.46 fof(f1272,plain,(
% 0.13/0.46 ~sk_c4=sk_c4|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ54_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f611,f1271])).
% 0.13/0.46 fof(f1273,plain,(
% 0.13/0.46 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ54_spl),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f1272])).
% 0.13/0.46 fof(f1274,plain,(
% 0.13/0.46 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ54_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f1273])).
% 0.13/0.46 fof(f1276,plain,(
% 0.13/0.46 ~inverse(inverse(sk_c7))=sk_c7|~inverse(inverse(identity))=multiply(inverse(sk_c7),sk_c7)|~sQ38_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f18,f359])).
% 0.13/0.46 fof(f1279,definition,(
% 0.13/0.46 sQ57_spl <=> (inverse(inverse(identity))=multiply(inverse(sk_c7),sk_c7))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f1282,plain,(
% 0.13/0.46 ~sQ36_spl|~sQ57_spl|~sQ38_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f1276,f351,f1279,f358])).
% 0.13/0.46 fof(f1328,plain,(
% 0.13/0.46 ~inverse(sk_c3)=sk_c7|~inverse(inverse(sk_c5))=multiply(sk_c3,sk_c7)|~sQ38_spl|~sQ1_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f38,f359])).
% 0.13/0.46 fof(f1335,definition,(
% 0.13/0.46 sQ62_spl <=> (inverse(inverse(sk_c5))=multiply(sk_c3,sk_c7))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f1337,plain,(
% 0.13/0.46 ~inverse(inverse(sk_c5))=multiply(sk_c3,sk_c7)|sQ62_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f1335])).
% 0.13/0.46 fof(f1338,plain,(
% 0.13/0.46 ~sQ2_spl|~sQ62_spl|~sQ38_spl|~sQ1_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f1328,f41,f1335,f358,f37])).
% 0.13/0.46 fof(f1341,plain,(
% 0.13/0.46 ~inverse(sk_c5)=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl|sQ62_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f1057,f1337])).
% 0.13/0.46 fof(f1342,plain,(
% 0.13/0.46 ~sk_c5=multiply(sk_c3,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl|sQ62_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f1057,f1341])).
% 0.13/0.46 fof(f1343,plain,(
% 0.13/0.46 ~sk_c5=sk_c5|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl|sQ62_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f38,f1342])).
% 0.13/0.46 fof(f1344,plain,(
% 0.13/0.46 $false|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl|sQ62_spl),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f1343])).
% 0.13/0.46 fof(f1345,plain,(
% 0.13/0.46 ~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ0_spl|sQ62_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f1344])).
% 0.13/0.46 fof(f1371,plain,(
% 0.13/0.46 ~inverse(sk_c1)=sk_c7|~inverse(inverse(sk_c6))=multiply(sk_c1,sk_c7)|~sQ38_spl|~sQ0_spl),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f35,f359])).
% 0.13/0.46 fof(f1374,definition,(
% 0.13/0.46 sQ64_spl <=> (inverse(inverse(sk_c6))=multiply(sk_c1,sk_c7))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.13/0.46 fof(f1376,plain,(
% 0.13/0.46 ~inverse(inverse(sk_c6))=multiply(sk_c1,sk_c7)|sQ64_spl),
% 0.13/0.46 inference(component_clause,[status(thm)],[f1374])).
% 0.13/0.46 fof(f1377,plain,(
% 0.13/0.46 ~sQ5_spl|~sQ64_spl|~sQ38_spl|~sQ0_spl),
% 0.13/0.46 inference(split_clause,[status(thm)],[f1371,f53,f1374,f358,f34])).
% 0.13/0.46 fof(f1380,plain,(
% 0.13/0.46 ~inverse(sk_c6)=multiply(sk_c1,sk_c7)|~sQ5_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f861,f1376])).
% 0.13/0.46 fof(f1381,plain,(
% 0.13/0.46 ~sk_c6=multiply(sk_c1,sk_c7)|~sQ5_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f861,f1380])).
% 0.13/0.46 fof(f1382,plain,(
% 0.13/0.46 ~sk_c6=sk_c6|~sQ5_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f35,f1381])).
% 0.13/0.46 fof(f1383,plain,(
% 0.13/0.46 $false|~sQ5_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f1382])).
% 0.13/0.46 fof(f1384,plain,(
% 0.13/0.46 ~sQ5_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.46 inference(contradiction_clause,[status(thm)],[f1383])).
% 0.13/0.46 fof(f1385,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(sat_refutation,[status(thm)],[f40,f44,f48,f52,f56,f57,f58,f59,f63,f64,f65,f66,f76,f175,f185,f253,f261,f312,f321,f328,f357,f364,f404,f443,f447,f482,f560,f668,f989,f1135,f1260,f1274,f1282,f1338,f1345,f1377,f1384])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.113320 seconds
% 0.13/0.49 % CPU time: 0.489893 seconds
% 0.13/0.49 % Total memory used: 108.034 MB
% 0.13/0.49 % Net memory used: 107.589 MB
%------------------------------------------------------------------------------