%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP358-1 : 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 : n014.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 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP358-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.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
% 0.10/0.36 % DateTime : Sun Sep 20 20:10:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f24,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f25,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f28,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f29,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f30,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f31,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f32,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f33,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f34,negated_conjecture,(
% 0.14/0.39 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| inverse(X5) != sk_c6| multiply(X5,sk_c8) != sk_c6 ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f49,plain,(
% 0.14/0.39 inverse(sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f55,plain,(
% 0.14/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c5)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 ![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~inverse(X5)=sk_c6)|~multiply(X5,sk_c8)=sk_c6)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7|~inverse(X4)=sk_c6|~multiply(X4,sk_c8)=sk_c6)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.40 fof(f70,definition,(
% 0.14/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c6)=sk_c8|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c6)=sk_c8|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.40 fof(f73,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.40 fof(f77,definition,(
% 0.14/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c8|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.40 fof(f81,definition,(
% 0.14/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c7)=sk_c6|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.40 fof(f89,definition,(
% 0.14/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c6|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.40 fof(f92,plain,(
% 0.14/0.40 sQ0_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.40 fof(f93,definition,(
% 0.14/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f94,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 sQ0_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 sQ7_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f99,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c6|sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 sQ7_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 sQ7_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.40 fof(f105,plain,(
% 0.14/0.40 sQ7_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.40 fof(f106,definition,(
% 0.14/0.40 sQ8_spl <=> (multiply(sk_c8,sk_c2)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=sk_c7|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 sQ8_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.40 fof(f115,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c1,sk_c8)=sk_c2)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c8)=sk_c2|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 sQ9_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.40 fof(f124,definition,(
% 0.14/0.40 sQ10_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|~sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 sQ10_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 sQ10_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 sQ10_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 sQ10_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 sQ10_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.40 fof(f133,definition,(
% 0.14/0.40 ![X0,X1]: (sQ11_spl <=> (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ11_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.40 fof(f136,definition,(
% 0.14/0.40 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f137,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.40 fof(f139,definition,(
% 0.14/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ13_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.40 fof(f142,definition,(
% 0.14/0.40 ![X4]: (sQ14_spl <=> (~inverse(X4)=sk_c6|~multiply(X4,sk_c8)=sk_c6))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f143,plain,(
% 0.14/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c8)=sk_c6|~sQ14_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.14/0.40 fof(f145,plain,(
% 0.14/0.40 ~sQ0_spl|~sQ7_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f136,f139,f142])).
% 0.14/0.40 fof(f146,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c6|~sQ14_spl|~sQ6_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f143,f94])).
% 0.14/0.40 fof(f149,plain,(
% 0.14/0.40 ~inverse(sk_c1)=sk_c6|~sk_c2=sk_c6|~sQ14_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f143])).
% 0.14/0.40 fof(f150,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ14_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f90,f146])).
% 0.14/0.40 fof(f151,plain,(
% 0.14/0.40 $false|~sQ5_spl|~sQ14_spl|~sQ6_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 ~sQ5_spl|~sQ14_spl|~sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f134])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f140,f82])).
% 0.14/0.40 fof(f156,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f86,f154])).
% 0.14/0.40 fof(f157,plain,(
% 0.14/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f156])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f157])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f137,f74])).
% 0.14/0.40 fof(f163,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f78,f159])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f163])).
% 0.14/0.40 fof(f165,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f164])).
% 0.14/0.40 fof(f176,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f74,f153])).
% 0.14/0.40 fof(f178,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f153])).
% 0.14/0.40 fof(f179,definition,(
% 0.14/0.40 sQ15_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f181,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ15_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.40 fof(f182,plain,(
% 0.14/0.40 ~sQ15_spl|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f176,f179,f77,f133,f73])).
% 0.14/0.40 fof(f183,definition,(
% 0.14/0.40 sQ16_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f185,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.40 fof(f190,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f178,f106,f124,f133,f115])).
% 0.14/0.40 fof(f196,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.40 fof(f197,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f196])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f197])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f74,f197])).
% 0.14/0.40 fof(f219,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c4),sk_c6)|~sQ3_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f82,f197])).
% 0.14/0.40 fof(f220,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f94,f197])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c1),sk_c2)|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f197])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f78,f218])).
% 0.14/0.40 fof(f224,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f86,f219])).
% 0.14/0.40 fof(f225,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f90,f220])).
% 0.14/0.40 fof(f226,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c2)|~sQ10_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f125,f221])).
% 0.14/0.40 fof(f234,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f223,f197])).
% 0.14/0.40 fof(f236,plain,(
% 0.14/0.40 sk_c7=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f36,f234])).
% 0.14/0.40 fof(f242,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f236,f36])).
% 0.14/0.40 fof(f243,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f236,f35])).
% 0.14/0.40 fof(f251,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f243,f72])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f262,f243])).
% 0.14/0.40 fof(f255,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f262,f242])).
% 0.14/0.40 fof(f259,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f262,f86])).
% 0.14/0.40 fof(f262,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f243,f224])).
% 0.14/0.40 fof(f265,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f259,f197])).
% 0.14/0.40 fof(f266,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c4,X0)|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f254,f265])).
% 0.14/0.40 fof(f267,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f259,f255])).
% 0.14/0.40 fof(f269,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f255])).
% 0.14/0.40 fof(f273,plain,(
% 0.14/0.40 sk_c4=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f254,f267])).
% 0.14/0.40 fof(f274,plain,(
% 0.14/0.40 sk_c5=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f254,f269])).
% 0.14/0.40 fof(f277,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f273,f259])).
% 0.14/0.40 fof(f280,plain,(
% 0.14/0.40 sk_c7=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f273,f262])).
% 0.14/0.40 fof(f281,plain,(
% 0.14/0.40 ~sk_c4=sk_c8|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f273,f251])).
% 0.14/0.40 fof(f284,plain,(
% 0.14/0.40 sk_c4=sk_c5|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f274,f273])).
% 0.14/0.40 fof(f285,plain,(
% 0.14/0.40 ~sk_c5=sk_c8|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f284,f281])).
% 0.14/0.40 fof(f286,plain,(
% 0.14/0.40 sk_c7=sk_c5|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f284,f280])).
% 0.14/0.40 fof(f288,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f284,f266])).
% 0.14/0.40 fof(f297,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c4|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f284,f277])).
% 0.14/0.40 fof(f298,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c5|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f284,f297])).
% 0.14/0.40 fof(f303,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c5,sk_c6)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f274,f225])).
% 0.14/0.40 fof(f304,plain,(
% 0.14/0.40 sk_c8=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f288,f303])).
% 0.14/0.40 fof(f305,plain,(
% 0.14/0.40 sk_c8=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f274,f304])).
% 0.14/0.40 fof(f306,plain,(
% 0.14/0.40 $false|sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f305,f285])).
% 0.14/0.40 fof(f307,plain,(
% 0.14/0.40 sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f306])).
% 0.14/0.40 fof(f315,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f274,f99])).
% 0.14/0.40 fof(f323,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c5|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f305,f315])).
% 0.14/0.40 fof(f324,plain,(
% 0.14/0.40 ~sk_c5=sk_c5|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f298,f323])).
% 0.14/0.40 fof(f325,plain,(
% 0.14/0.40 $false|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|sQ7_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f325])).
% 0.14/0.40 fof(f327,plain,(
% 0.14/0.40 ~multiply(sk_c5,sk_c7)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f305,f181])).
% 0.14/0.40 fof(f328,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f288,f327])).
% 0.14/0.40 fof(f329,plain,(
% 0.14/0.40 ~sk_c5=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f286,f328])).
% 0.14/0.40 fof(f330,plain,(
% 0.14/0.40 ~sk_c5=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f286,f329])).
% 0.14/0.40 fof(f331,plain,(
% 0.14/0.40 $false|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f330])).
% 0.14/0.40 fof(f332,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ15_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f331])).
% 0.14/0.40 fof(f337,definition,(
% 0.14/0.40 sQ19_spl <=> (sk_c6=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f339,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f337])).
% 0.14/0.40 fof(f341,plain,(
% 0.14/0.40 $false|sQ19_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f339])).
% 0.14/0.40 fof(f342,plain,(
% 0.14/0.40 sQ19_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f341])).
% 0.14/0.40 fof(f347,plain,(
% 0.14/0.40 sk_c2=multiply(inverse(sk_c8),sk_c7)|~sQ8_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f107,f197])).
% 0.14/0.40 fof(f349,plain,(
% 0.14/0.40 sk_c2=multiply(sk_c6,sk_c7)|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f98,f347])).
% 0.14/0.40 fof(f355,plain,(
% 0.14/0.40 sk_c8=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f226,f107])).
% 0.14/0.40 fof(f360,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c6)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f355,f71])).
% 0.14/0.40 fof(f362,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f355,f140])).
% 0.14/0.40 fof(f363,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f355,f362])).
% 0.14/0.40 fof(f364,plain,(
% 0.14/0.40 ~sk_c2=sk_c6|~inverse(sk_c1)=sk_c8|~sQ10_spl|~sQ8_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f363])).
% 0.14/0.40 fof(f366,definition,(
% 0.14/0.40 sQ20_spl <=> (sk_c2=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f368,plain,(
% 0.14/0.40 ~sk_c2=sk_c6|sQ20_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f366])).
% 0.14/0.40 fof(f369,plain,(
% 0.14/0.40 ~sQ20_spl|~sQ10_spl|~sQ8_spl|~sQ13_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f364,f366,f124,f106,f139,f115])).
% 0.14/0.40 fof(f370,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ12_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f355,f137])).
% 0.14/0.40 fof(f371,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c6)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f355,f185])).
% 0.14/0.40 fof(f372,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f197,f216])).
% 0.14/0.40 fof(f385,plain,(
% 0.14/0.40 sk_c2=multiply(sk_c6,sk_c8)|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f355,f349])).
% 0.14/0.40 fof(f388,plain,(
% 0.14/0.40 $false|sQ16_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f360,f371])).
% 0.14/0.40 fof(f389,plain,(
% 0.14/0.40 sQ16_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f388])).
% 0.14/0.40 fof(f395,plain,(
% 0.14/0.40 ~sk_c2=sk_c8|~inverse(sk_c1)=sk_c8|~sQ10_spl|~sQ8_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f370])).
% 0.14/0.40 fof(f398,definition,(
% 0.14/0.40 sQ21_spl <=> (sk_c2=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f400,plain,(
% 0.14/0.40 ~sk_c2=sk_c8|sQ21_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f398])).
% 0.14/0.40 fof(f405,definition,(
% 0.14/0.40 sQ23_spl <=> (sk_c8=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f407,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|sQ23_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f405])).
% 0.14/0.40 fof(f412,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ10_spl|~sQ8_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f395,f398,f124,f106,f136,f115])).
% 0.14/0.40 fof(f417,definition,(
% 0.14/0.40 sQ26_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f419,plain,(
% 0.14/0.40 ~inverse(sk_c1)=sk_c6|sQ26_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f417])).
% 0.14/0.40 fof(f420,plain,(
% 0.14/0.40 ~sQ26_spl|~sQ20_spl|~sQ14_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f149,f417,f366,f142,f115])).
% 0.14/0.40 fof(f421,plain,(
% 0.14/0.40 $false|sQ23_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f407])).
% 0.14/0.40 fof(f422,plain,(
% 0.14/0.40 sQ23_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f421])).
% 0.14/0.40 fof(f423,plain,(
% 0.14/0.40 ~sk_c8=sk_c6|~sQ10_spl|sQ26_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f125,f419])).
% 0.14/0.40 fof(f429,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c8)=identity|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 sk_c2=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f385,f429])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f433,f372])).
% 0.14/0.40 fof(f442,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f360,f197])).
% 0.14/0.40 fof(f444,plain,(
% 0.14/0.40 sk_c6=multiply(sk_c6,sk_c8)|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f98,f442])).
% 0.14/0.40 fof(f445,plain,(
% 0.14/0.40 sk_c6=sk_c2|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f385,f444])).
% 0.14/0.40 fof(f446,plain,(
% 0.14/0.40 $false|sQ20_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f445,f368])).
% 0.14/0.40 fof(f447,plain,(
% 0.14/0.40 sQ20_spl|~sQ7_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f446])).
% 0.14/0.40 fof(f475,plain,(
% 0.14/0.40 ~sk_c8=sk_c2|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|sQ26_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f445,f423])).
% 0.14/0.40 fof(f476,plain,(
% 0.14/0.40 sk_c2=multiply(sk_c2,sk_c8)|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f445,f385])).
% 0.14/0.40 fof(f478,plain,(
% 0.14/0.40 sk_c2=sk_c8|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f438,f476])).
% 0.14/0.40 fof(f479,plain,(
% 0.14/0.40 $false|sQ21_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f478,f400])).
% 0.14/0.40 fof(f480,plain,(
% 0.14/0.40 sQ21_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f479])).
% 0.14/0.40 fof(f481,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|sQ26_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f475,f398,f97,f115,f106,f70,f124,f417])).
% 0.14/0.40 fof(f485,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f152,f158,f165,f182,f190,f307,f326,f332,f342,f369,f389,f412,f420,f422,f447,f480,f481])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.057185 seconds
% 0.14/0.42 % CPU time: 0.203477 seconds
% 0.14/0.42 % Total memory used: 85.192 MB
% 0.14/0.42 % Net memory used: 85.067 MB
%------------------------------------------------------------------------------