%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP351-1 : 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 : n026.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 12:36:29 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP351-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.39 % Computer : n026.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 20 20:12:44 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.17/5.41 % Drodi V4.1.1
% 0.17/5.45 % Refutation found
% 0.17/5.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.45 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.45 fof(f1,axiom,(
% 0.17/5.45 (![X]: (multiply(identity,X) = X ))),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f2,axiom,(
% 0.17/5.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f3,axiom,(
% 0.17/5.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f4,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f5,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f6,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f7,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f8,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f9,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f10,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f11,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f12,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f13,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f14,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f15,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f16,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f17,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f18,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f19,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f20,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f21,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f22,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f23,negated_conjecture,(
% 0.17/5.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f24,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f25,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f26,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f27,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f28,negated_conjecture,(
% 0.17/5.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f29,negated_conjecture,(
% 0.17/5.45 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c5) != sk_c7| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| inverse(X2) != sk_c5| multiply(X2,sk_c6) != sk_c5 ) ))),
% 0.17/5.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.45 fof(f30,plain,(
% 0.17/5.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/5.45 fof(f31,plain,(
% 0.17/5.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/5.45 fof(f32,plain,(
% 0.17/5.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/5.45 fof(f33,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/5.45 fof(f34,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/5.45 fof(f35,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/5.45 fof(f36,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/5.45 fof(f37,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/5.45 fof(f38,plain,(
% 0.17/5.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/5.45 fof(f39,plain,(
% 0.17/5.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/5.45 fof(f40,plain,(
% 0.17/5.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/5.45 fof(f41,plain,(
% 0.17/5.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/5.45 fof(f42,plain,(
% 0.17/5.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/5.45 fof(f43,plain,(
% 0.17/5.45 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/5.45 fof(f44,plain,(
% 0.17/5.45 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/5.45 fof(f45,plain,(
% 0.17/5.45 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/5.45 fof(f46,plain,(
% 0.17/5.45 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/5.45 fof(f47,plain,(
% 0.17/5.45 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/5.45 fof(f48,plain,(
% 0.17/5.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/5.45 fof(f49,plain,(
% 0.17/5.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/5.45 fof(f50,plain,(
% 0.17/5.45 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f21])).
% 0.17/5.45 fof(f51,plain,(
% 0.17/5.45 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f22])).
% 0.17/5.45 fof(f52,plain,(
% 0.17/5.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/5.45 fof(f53,plain,(
% 0.17/5.45 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f24])).
% 0.17/5.45 fof(f54,plain,(
% 0.17/5.45 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/5.45 fof(f55,plain,(
% 0.17/5.45 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/5.45 fof(f56,plain,(
% 0.17/5.45 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/5.45 fof(f57,plain,(
% 0.17/5.45 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/5.45 fof(f58,plain,(
% 0.17/5.45 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~inverse(X2)=sk_c5)|~multiply(X2,sk_c6)=sk_c5)),
% 0.17/5.45 inference(miniscoping,[status(thm)],[f29])).
% 0.17/5.45 fof(f59,plain,(
% 0.17/5.45 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~inverse(X3)=sk_c5|~multiply(X3,sk_c6)=sk_c5)),
% 0.17/5.45 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.45 fof(f60,definition,(
% 0.17/5.45 sQ0_spl <=> (multiply(sk_c6,sk_c5)=sk_c7)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f61,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c5)=sk_c7|~sQ0_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f60])).
% 0.17/5.45 fof(f62,plain,(
% 0.17/5.45 ~multiply(sk_c6,sk_c5)=sk_c7|sQ0_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f60])).
% 0.17/5.45 fof(f63,definition,(
% 0.17/5.45 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f64,plain,(
% 0.17/5.45 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f63])).
% 0.17/5.45 fof(f65,plain,(
% 0.17/5.45 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f63])).
% 0.17/5.45 fof(f66,plain,(
% 0.17/5.45 sQ0_spl|sQ1_spl),
% 0.17/5.45 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.17/5.45 fof(f67,definition,(
% 0.17/5.45 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f68,plain,(
% 0.17/5.45 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f67])).
% 0.17/5.45 fof(f70,plain,(
% 0.17/5.45 sQ0_spl|sQ2_spl),
% 0.17/5.45 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.17/5.45 fof(f71,definition,(
% 0.17/5.45 sQ3_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f72,plain,(
% 0.17/5.45 inverse(sk_c3)=sk_c6|~sQ3_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f71])).
% 0.17/5.45 fof(f74,plain,(
% 0.17/5.45 sQ0_spl|sQ3_spl),
% 0.17/5.45 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.17/5.45 fof(f75,definition,(
% 0.17/5.45 sQ4_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f76,plain,(
% 0.17/5.45 inverse(sk_c4)=sk_c5|~sQ4_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f75])).
% 0.17/5.45 fof(f78,plain,(
% 0.17/5.45 sQ0_spl|sQ4_spl),
% 0.17/5.45 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.17/5.45 fof(f79,definition,(
% 0.17/5.45 sQ5_spl <=> (multiply(sk_c4,sk_c6)=sk_c5)),
% 0.17/5.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/5.45 fof(f80,plain,(
% 0.17/5.45 multiply(sk_c4,sk_c6)=sk_c5|~sQ5_spl),
% 0.17/5.45 inference(component_clause,[status(thm)],[f79])).
% 0.17/5.45 fof(f82,plain,(
% 0.17/5.45 sQ0_spl|sQ5_spl),
% 0.17/5.45 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.17/5.45 fof(f83,definition,(
% 0.17/5.45 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f84,plain,(
% 0.17/5.46 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f83])).
% 0.17/5.46 fof(f86,plain,(
% 0.17/5.46 sQ6_spl|sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.17/5.46 fof(f87,plain,(
% 0.17/5.46 sQ6_spl|sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.17/5.46 fof(f88,plain,(
% 0.17/5.46 sQ6_spl|sQ3_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.17/5.46 fof(f89,plain,(
% 0.17/5.46 sQ6_spl|sQ4_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.17/5.46 fof(f90,plain,(
% 0.17/5.46 sQ6_spl|sQ5_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.17/5.46 fof(f91,definition,(
% 0.17/5.46 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f92,plain,(
% 0.17/5.46 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f91])).
% 0.17/5.46 fof(f94,plain,(
% 0.17/5.46 sQ7_spl|sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.17/5.46 fof(f95,plain,(
% 0.17/5.46 sQ7_spl|sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.17/5.46 fof(f96,plain,(
% 0.17/5.46 sQ7_spl|sQ3_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.17/5.46 fof(f97,plain,(
% 0.17/5.46 sQ7_spl|sQ4_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.17/5.46 fof(f98,plain,(
% 0.17/5.46 sQ7_spl|sQ5_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.17/5.46 fof(f99,definition,(
% 0.17/5.46 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f100,plain,(
% 0.17/5.46 multiply(sk_c2,sk_c6)=sk_c5|~sQ8_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f99])).
% 0.17/5.46 fof(f102,plain,(
% 0.17/5.46 sQ8_spl|sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.17/5.46 fof(f103,plain,(
% 0.17/5.46 sQ8_spl|sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.17/5.46 fof(f104,plain,(
% 0.17/5.46 sQ8_spl|sQ3_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.17/5.46 fof(f105,plain,(
% 0.17/5.46 sQ8_spl|sQ4_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.17/5.46 fof(f106,plain,(
% 0.17/5.46 sQ8_spl|sQ5_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.17/5.46 fof(f107,definition,(
% 0.17/5.46 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f108,plain,(
% 0.17/5.46 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f107])).
% 0.17/5.46 fof(f110,plain,(
% 0.17/5.46 sQ9_spl|sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.17/5.46 fof(f111,plain,(
% 0.17/5.46 sQ9_spl|sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.17/5.46 fof(f112,plain,(
% 0.17/5.46 sQ9_spl|sQ3_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.17/5.46 fof(f113,plain,(
% 0.17/5.46 sQ9_spl|sQ4_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.17/5.46 fof(f114,plain,(
% 0.17/5.46 sQ9_spl|sQ5_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.17/5.46 fof(f115,definition,(
% 0.17/5.46 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f116,plain,(
% 0.17/5.46 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.17/5.46 inference(component_clause,[status(thm)],[f115])).
% 0.17/5.46 fof(f118,definition,(
% 0.17/5.46 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f119,plain,(
% 0.17/5.46 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.17/5.46 inference(component_clause,[status(thm)],[f118])).
% 0.17/5.46 fof(f121,definition,(
% 0.17/5.46 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6))),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f122,plain,(
% 0.17/5.46 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.17/5.46 inference(component_clause,[status(thm)],[f121])).
% 0.17/5.46 fof(f124,definition,(
% 0.17/5.46 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c5|~multiply(X3,sk_c6)=sk_c5))),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f125,plain,(
% 0.17/5.46 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~sQ13_spl)),
% 0.17/5.46 inference(component_clause,[status(thm)],[f124])).
% 0.17/5.46 fof(f127,plain,(
% 0.17/5.46 ~sQ0_spl|sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.17/5.46 fof(f128,plain,(
% 0.17/5.46 ~inverse(sk_c4)=sk_c5|~sQ13_spl|~sQ5_spl),
% 0.17/5.46 inference(resolution,[status(thm)],[f125,f80])).
% 0.17/5.46 fof(f129,plain,(
% 0.17/5.46 ~inverse(sk_c2)=sk_c5|~sQ13_spl|~sQ8_spl),
% 0.17/5.46 inference(resolution,[status(thm)],[f125,f100])).
% 0.17/5.46 fof(f130,plain,(
% 0.17/5.46 ~inverse(sk_c3)=sk_c5|~sk_c7=sk_c5|~sQ13_spl|~sQ2_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f68,f125])).
% 0.17/5.46 fof(f132,plain,(
% 0.17/5.46 ~inverse(sk_c2)=sk_c5|~sk_c5=sk_c5|~sQ13_spl|~sQ8_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f100,f125])).
% 0.17/5.46 fof(f133,plain,(
% 0.17/5.46 ~sk_c5=sk_c5|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.17/5.46 fof(f134,plain,(
% 0.17/5.46 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f133])).
% 0.17/5.46 fof(f135,plain,(
% 0.17/5.46 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f134])).
% 0.17/5.46 fof(f136,plain,(
% 0.17/5.46 ~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ2_spl),
% 0.17/5.46 inference(resolution,[status(thm)],[f122,f68])).
% 0.17/5.46 fof(f139,plain,(
% 0.17/5.46 ~sk_c5=sk_c7|~inverse(sk_c2)=sk_c6|~sQ12_spl|~sQ8_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f100,f122])).
% 0.17/5.46 fof(f140,plain,(
% 0.17/5.46 ~sk_c6=sk_c6|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f72,f136])).
% 0.17/5.46 fof(f141,plain,(
% 0.17/5.46 $false|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f140])).
% 0.17/5.46 fof(f142,plain,(
% 0.17/5.46 ~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f141])).
% 0.17/5.46 fof(f144,plain,(
% 0.17/5.46 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.17/5.46 inference(resolution,[status(thm)],[f119,f100])).
% 0.17/5.46 fof(f145,plain,(
% 0.17/5.46 ~sk_c7=sk_c5|~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ2_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f68,f119])).
% 0.17/5.46 fof(f148,plain,(
% 0.17/5.46 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f108,f144])).
% 0.17/5.46 fof(f149,plain,(
% 0.17/5.46 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.17/5.46 fof(f150,plain,(
% 0.17/5.46 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f149])).
% 0.17/5.46 fof(f157,plain,(
% 0.17/5.46 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.17/5.46 inference(resolution,[status(thm)],[f116,f84])).
% 0.17/5.46 fof(f160,plain,(
% 0.17/5.46 ~sk_c7=sk_c7|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f92,f157])).
% 0.17/5.46 fof(f161,plain,(
% 0.17/5.46 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.17/5.46 fof(f162,plain,(
% 0.17/5.46 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f161])).
% 0.17/5.46 fof(f163,definition,(
% 0.17/5.46 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f165,plain,(
% 0.17/5.46 ~sk_c6=sk_c6|sQ14_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f163])).
% 0.17/5.46 fof(f167,plain,(
% 0.17/5.46 $false|sQ14_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f165])).
% 0.17/5.46 fof(f168,plain,(
% 0.17/5.46 sQ14_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f167])).
% 0.17/5.46 fof(f171,definition,(
% 0.17/5.46 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f172,plain,(
% 0.17/5.46 sk_c7=sk_c6|~sQ15_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f171])).
% 0.17/5.46 fof(f173,plain,(
% 0.17/5.46 ~sk_c7=sk_c6|sQ15_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f171])).
% 0.17/5.46 fof(f182,plain,(
% 0.17/5.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.17/5.46 fof(f190,plain,(
% 0.17/5.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f30,f182])).
% 0.17/5.46 fof(f191,plain,(
% 0.17/5.46 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~sQ10_spl|~sQ1_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f64,f116])).
% 0.17/5.46 fof(f193,definition,(
% 0.17/5.46 sQ19_spl <=> (sk_c5=sk_c6)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f195,plain,(
% 0.17/5.46 ~sk_c5=sk_c6|sQ19_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f193])).
% 0.17/5.46 fof(f196,definition,(
% 0.17/5.46 sQ20_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f198,plain,(
% 0.17/5.46 ~inverse(sk_c6)=sk_c7|sQ20_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f196])).
% 0.17/5.46 fof(f199,plain,(
% 0.17/5.46 ~sQ19_spl|~sQ20_spl|~sQ10_spl|~sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f191,f193,f196,f115,f63])).
% 0.17/5.46 fof(f230,plain,(
% 0.17/5.46 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f68,f190])).
% 0.17/5.46 fof(f232,plain,(
% 0.17/5.46 sk_c6=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f80,f190])).
% 0.17/5.46 fof(f235,plain,(
% 0.17/5.46 sk_c6=multiply(sk_c6,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f72,f230])).
% 0.17/5.46 fof(f236,plain,(
% 0.17/5.46 sk_c6=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f64,f235])).
% 0.17/5.46 fof(f237,plain,(
% 0.17/5.46 $false|sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(forward_subsumption_resolution,[status(thm)],[f236,f195])).
% 0.17/5.46 fof(f238,plain,(
% 0.17/5.46 sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f237])).
% 0.17/5.46 fof(f240,plain,(
% 0.17/5.46 sk_c6=multiply(sk_c5,sk_c5)|~sQ4_spl|~sQ5_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f76,f232])).
% 0.17/5.46 fof(f244,plain,(
% 0.17/5.46 ~multiply(sk_c5,sk_c5)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f236,f62])).
% 0.17/5.46 fof(f257,plain,(
% 0.17/5.46 sk_c5=multiply(sk_c5,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f236,f240])).
% 0.17/5.46 fof(f258,plain,(
% 0.17/5.46 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f257,f190])).
% 0.17/5.46 fof(f260,plain,(
% 0.17/5.46 sk_c5=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f31,f258])).
% 0.17/5.46 fof(f261,plain,(
% 0.17/5.46 ~sk_c5=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f257,f244])).
% 0.17/5.46 fof(f307,definition,(
% 0.17/5.46 sQ21_spl <=> (sk_c7=sk_c5)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f308,plain,(
% 0.17/5.46 sk_c7=sk_c5|~sQ21_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f307])).
% 0.17/5.46 fof(f309,plain,(
% 0.17/5.46 ~sk_c7=sk_c5|sQ21_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f307])).
% 0.17/5.46 fof(f310,plain,(
% 0.17/5.46 ~sQ21_spl|~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f145,f307,f71,f118,f67])).
% 0.17/5.46 fof(f311,definition,(
% 0.17/5.46 sQ22_spl <=> (sk_c5=sk_c5)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f313,plain,(
% 0.17/5.46 ~sk_c5=sk_c5|sQ22_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f311])).
% 0.17/5.46 fof(f331,plain,(
% 0.17/5.46 ~sQ21_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f139,f307,f107,f121,f99])).
% 0.17/5.46 fof(f332,definition,(
% 0.17/5.46 sQ24_spl <=> (sk_c7=sk_c7)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f334,plain,(
% 0.17/5.46 ~sk_c7=sk_c7|sQ24_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f332])).
% 0.17/5.46 fof(f336,plain,(
% 0.17/5.46 $false|sQ24_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f334])).
% 0.17/5.46 fof(f337,plain,(
% 0.17/5.46 sQ24_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f336])).
% 0.17/5.46 fof(f342,plain,(
% 0.17/5.46 sk_c6=multiply(inverse(sk_c2),sk_c5)|~sQ8_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f100,f190])).
% 0.17/5.46 fof(f344,plain,(
% 0.17/5.46 sk_c6=multiply(sk_c6,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f108,f342])).
% 0.17/5.46 fof(f345,plain,(
% 0.17/5.46 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f84,f190])).
% 0.17/5.46 fof(f347,plain,(
% 0.17/5.46 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f92,f345])).
% 0.17/5.46 fof(f387,plain,(
% 0.17/5.46 sk_c6=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f61,f344])).
% 0.17/5.46 fof(f388,plain,(
% 0.17/5.46 $false|sQ15_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.17/5.46 inference(forward_subsumption_resolution,[status(thm)],[f387,f173])).
% 0.17/5.46 fof(f389,plain,(
% 0.17/5.46 sQ15_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f388])).
% 0.17/5.46 fof(f391,plain,(
% 0.17/5.46 $false|sQ22_spl),
% 0.17/5.46 inference(trivial_equality_resolution,[status(thm)],[f313])).
% 0.17/5.46 fof(f392,plain,(
% 0.17/5.46 sQ22_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f391])).
% 0.17/5.46 fof(f402,plain,(
% 0.17/5.46 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f260,f30])).
% 0.17/5.46 fof(f415,definition,(
% 0.17/5.46 sQ29_spl <=> (inverse(sk_c3)=sk_c5)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f418,plain,(
% 0.17/5.46 ~sQ29_spl|~sQ21_spl|~sQ13_spl|~sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f130,f415,f307,f124,f67])).
% 0.17/5.46 fof(f419,definition,(
% 0.17/5.46 sQ30_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.17/5.46 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.17/5.46 fof(f421,plain,(
% 0.17/5.46 ~inverse(sk_c2)=sk_c5|sQ30_spl),
% 0.17/5.46 inference(component_clause,[status(thm)],[f419])).
% 0.17/5.46 fof(f422,plain,(
% 0.17/5.46 ~sQ30_spl|~sQ22_spl|~sQ13_spl|~sQ8_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f132,f419,f311,f124,f99])).
% 0.17/5.46 fof(f432,plain,(
% 0.17/5.46 inverse(sk_c2)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f387,f108])).
% 0.17/5.46 fof(f434,plain,(
% 0.17/5.46 ~sk_c7=sk_c5|~sQ0_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f432,f129])).
% 0.17/5.46 fof(f435,plain,(
% 0.17/5.46 ~sk_c7=sk_c5|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ30_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f432,f421])).
% 0.17/5.46 fof(f440,plain,(
% 0.17/5.46 sk_c7=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f387,f347])).
% 0.17/5.46 fof(f453,plain,(
% 0.17/5.46 multiply(sk_c7,sk_c5)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f387,f61])).
% 0.17/5.46 fof(f454,plain,(
% 0.17/5.46 sk_c5=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f453,f190])).
% 0.17/5.46 fof(f456,plain,(
% 0.17/5.46 sk_c5=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f31,f454])).
% 0.17/5.46 fof(f482,plain,(
% 0.17/5.46 ~sQ21_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ30_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f435,f307,f60,f99,f107,f419])).
% 0.17/5.46 fof(f483,plain,(
% 0.17/5.46 ~sQ21_spl|~sQ0_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f434,f307,f60,f107,f124,f99])).
% 0.17/5.46 fof(f484,plain,(
% 0.17/5.46 multiply(sk_c5,sk_c7)=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f236,f64])).
% 0.17/5.46 fof(f488,plain,(
% 0.17/5.46 sk_c7=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f402,f484])).
% 0.17/5.46 fof(f491,plain,(
% 0.17/5.46 sQ21_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f488,f307,f75,f79,f71,f67,f63])).
% 0.17/5.46 fof(f492,plain,(
% 0.17/5.46 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl|~sQ21_spl),
% 0.17/5.46 inference(forward_subsumption_resolution,[status(thm)],[f308,f261])).
% 0.17/5.46 fof(f493,plain,(
% 0.17/5.46 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl|~sQ21_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f492])).
% 0.17/5.46 fof(f494,plain,(
% 0.17/5.46 ~inverse(sk_c5)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f236,f198])).
% 0.17/5.46 fof(f507,plain,(
% 0.17/5.46 sk_c7=identity|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f308,f260])).
% 0.17/5.46 fof(f508,plain,(
% 0.17/5.46 sk_c6=sk_c7|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f308,f236])).
% 0.17/5.46 fof(f509,plain,(
% 0.17/5.46 sQ15_spl|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f508,f171,f307,f63,f71,f67])).
% 0.17/5.46 fof(f516,plain,(
% 0.17/5.46 ![X0]: (multiply(sk_c7,X0)=X0|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f507,f30])).
% 0.17/5.46 fof(f525,plain,(
% 0.17/5.46 inverse(sk_c4)=sk_c7|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f308,f76])).
% 0.17/5.46 fof(f528,plain,(
% 0.17/5.46 ~inverse(sk_c7)=sk_c7|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f308,f494])).
% 0.17/5.46 fof(f539,plain,(
% 0.17/5.46 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f507,f31])).
% 0.17/5.46 fof(f541,plain,(
% 0.17/5.46 multiply(sk_c7,sk_c4)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f525,f539])).
% 0.17/5.46 fof(f546,plain,(
% 0.17/5.46 sk_c4=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f516,f541])).
% 0.17/5.46 fof(f554,plain,(
% 0.17/5.46 ~inverse(sk_c7)=sk_c4|~sQ5_spl|~sQ4_spl|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f546,f528])).
% 0.17/5.46 fof(f555,plain,(
% 0.17/5.46 inverse(sk_c4)=sk_c4|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f546,f525])).
% 0.17/5.46 fof(f561,plain,(
% 0.17/5.46 ~inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ4_spl|~sQ21_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f546,f554])).
% 0.17/5.46 fof(f567,plain,(
% 0.17/5.46 $false|sQ20_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(forward_subsumption_resolution,[status(thm)],[f555,f561])).
% 0.17/5.46 fof(f568,plain,(
% 0.17/5.46 sQ20_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ21_spl|~sQ4_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f567])).
% 0.17/5.46 fof(f575,plain,(
% 0.17/5.46 ~multiply(sk_c7,sk_c7)=sk_c5|~sQ15_spl|sQ1_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f172,f65])).
% 0.17/5.46 fof(f584,plain,(
% 0.17/5.46 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f456,f31])).
% 0.17/5.46 fof(f593,plain,(
% 0.17/5.46 ~sk_c7=sk_c5|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ15_spl|sQ1_spl),
% 0.17/5.46 inference(backward_demodulation,[status(thm)],[f440,f575])).
% 0.17/5.46 fof(f594,plain,(
% 0.17/5.46 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(paramodulation,[status(thm)],[f440,f190])).
% 0.17/5.46 fof(f596,plain,(
% 0.17/5.46 sk_c7=sk_c5|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(forward_demodulation,[status(thm)],[f584,f594])).
% 0.17/5.46 fof(f597,plain,(
% 0.17/5.46 $false|sQ21_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(forward_subsumption_resolution,[status(thm)],[f596,f309])).
% 0.17/5.46 fof(f598,plain,(
% 0.17/5.46 sQ21_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.17/5.46 inference(contradiction_clause,[status(thm)],[f597])).
% 0.17/5.46 fof(f599,plain,(
% 0.17/5.46 ~sQ21_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ15_spl|sQ1_spl),
% 0.17/5.46 inference(split_clause,[status(thm)],[f593,f307,f60,f107,f99,f91,f83,f171,f63])).
% 0.17/5.46 fof(f601,plain,(
% 0.17/5.46 $false),
% 0.17/5.46 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f135,f142,f150,f162,f168,f199,f238,f310,f331,f337,f389,f392,f418,f422,f482,f483,f491,f493,f509,f568,f598,f599])).
% 0.17/5.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.48 % Elapsed time: 0.076936 seconds
% 0.17/5.48 % CPU time: 0.272520 seconds
% 0.17/5.48 % Total memory used: 103.966 MB
% 0.17/5.48 % Net memory used: 103.759 MB
%------------------------------------------------------------------------------