%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP323-1 : 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 : n016.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 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP323-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:14:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f34,negated_conjecture,(
% 0.13/0.40 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c8) != sk_c6| inverse(X2) != sk_c8 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 ![X2]: (((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c8)=sk_c6)|~inverse(X2)=sk_c8)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.40 fof(f70,definition,(
% 0.13/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.40 fof(f73,definition,(
% 0.13/0.40 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.13/0.40 fof(f77,definition,(
% 0.13/0.40 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.40 fof(f81,definition,(
% 0.13/0.40 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.40 fof(f85,definition,(
% 0.13/0.40 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.40 fof(f89,definition,(
% 0.13/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 sQ6_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 sQ6_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 sQ6_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 sQ6_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.13/0.40 fof(f101,definition,(
% 0.13/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 sQ7_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 sQ7_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 sQ7_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 sQ7_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 sQ7_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.13/0.40 fof(f109,definition,(
% 0.13/0.40 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 sQ8_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 sQ8_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ8_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 sQ8_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 sQ8_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.13/0.40 fof(f117,definition,(
% 0.13/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 sQ9_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 sQ9_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ9_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 sQ9_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 sQ9_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.13/0.40 fof(f125,definition,(
% 0.13/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.13/0.40 fof(f133,definition,(
% 0.13/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.40 fof(f136,definition,(
% 0.13/0.40 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.40 fof(f139,definition,(
% 0.13/0.40 ![X3]: (sQ13_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,definition,(
% 0.13/0.40 ![X4]: (sQ14_spl <=> (~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 ~sQ0_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl|sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c8|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f143,f86])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 ~sk_c3=sk_c6|~inverse(sk_c2)=sk_c8|~sQ14_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f143])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~sk_c7=sk_c6|~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f90,f146])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f150])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ14_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f151])).
% 0.13/0.40 fof(f153,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f140,f78])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 ~sk_c3=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f140])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f82,f153])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 $false|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f157])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 ~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f158])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f134,f94])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 ~sk_c7=sk_c7|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f102,f161])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 $false|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f163])).
% 0.13/0.40 fof(f165,plain,(
% 0.13/0.40 ~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f164])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f160])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f78,f160])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f176,f109,f125,f136,f117])).
% 0.13/0.40 fof(f186,definition,(
% 0.13/0.40 sQ17_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f186])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 ~sQ17_spl|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f177,f186,f81,f136,f77])).
% 0.13/0.40 fof(f190,definition,(
% 0.13/0.40 sQ18_spl <=> (sk_c6=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f192,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|sQ18_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f190])).
% 0.13/0.40 fof(f194,definition,(
% 0.13/0.40 sQ19_spl <=> (sk_c3=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 ~sk_c3=sk_c7|sQ19_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f194])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 ~sQ19_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f155,f194,f125,f139,f117])).
% 0.13/0.40 fof(f200,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.13/0.40 fof(f202,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.40 fof(f203,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f202])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f35,f203])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f94,f203])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f118,f203])).
% 0.13/0.40 fof(f225,plain,(
% 0.13/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f102,f219])).
% 0.13/0.40 fof(f226,plain,(
% 0.13/0.40 sk_c7=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f71,f225])).
% 0.13/0.40 fof(f227,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f126,f223])).
% 0.13/0.40 fof(f230,plain,(
% 0.13/0.40 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f226,f75])).
% 0.13/0.40 fof(f231,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c8)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f226,f71])).
% 0.13/0.40 fof(f233,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c3)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f226,f110])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 sk_c3=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f227,f203])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 sk_c3=identity|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f243])).
% 0.13/0.40 fof(f248,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c2)=sk_c3|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f245,f200])).
% 0.13/0.40 fof(f249,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ10_spl|~sQ9_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f245,f36])).
% 0.13/0.40 fof(f250,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f245,f35])).
% 0.13/0.40 fof(f262,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f233,f227])).
% 0.13/0.40 fof(f268,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f262,f231])).
% 0.13/0.40 fof(f269,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f262,f230])).
% 0.13/0.40 fof(f293,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f262,f248])).
% 0.13/0.40 fof(f302,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f268,f203])).
% 0.13/0.40 fof(f304,plain,(
% 0.13/0.40 sk_c6=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f249,f302])).
% 0.13/0.40 fof(f308,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f304,f293])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 sk_c7=sk_c3|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f304,f226])).
% 0.13/0.40 fof(f320,plain,(
% 0.13/0.40 sk_c2=sk_c3|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f250,f308])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 sk_c6=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f320,f304])).
% 0.13/0.40 fof(f327,plain,(
% 0.13/0.40 sk_c2=identity|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f320,f245])).
% 0.13/0.40 fof(f332,plain,(
% 0.13/0.40 sk_c7=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f320,f315])).
% 0.13/0.40 fof(f334,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c6)=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f323,f269])).
% 0.13/0.40 fof(f336,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c6)=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f334])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c2)=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f336])).
% 0.13/0.40 fof(f371,plain,(
% 0.13/0.40 ~sk_c2=sk_c7|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f320,f196])).
% 0.13/0.40 fof(f372,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f332,f371])).
% 0.13/0.40 fof(f373,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f372])).
% 0.13/0.40 fof(f374,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ19_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f373])).
% 0.13/0.40 fof(f381,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c4),sk_c7)|~sQ2_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f78,f203])).
% 0.13/0.40 fof(f383,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f82,f381])).
% 0.13/0.40 fof(f384,plain,(
% 0.13/0.40 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f74,f383])).
% 0.13/0.40 fof(f389,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f384,f90])).
% 0.13/0.40 fof(f391,plain,(
% 0.13/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f384,f74])).
% 0.13/0.40 fof(f392,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f384,f86])).
% 0.13/0.40 fof(f395,plain,(
% 0.13/0.40 ~multiply(sk_c6,sk_c7)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ17_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f384,f188])).
% 0.13/0.40 fof(f397,plain,(
% 0.13/0.40 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f384,f72])).
% 0.13/0.40 fof(f398,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f203,f215])).
% 0.13/0.40 fof(f420,plain,(
% 0.13/0.40 ~sk_c6=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ17_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f391,f395])).
% 0.13/0.40 fof(f421,plain,(
% 0.13/0.40 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f391,f203])).
% 0.13/0.40 fof(f423,plain,(
% 0.13/0.40 sk_c7=identity|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f36,f421])).
% 0.13/0.40 fof(f424,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f423,f36])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f423,f398])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f426,f397])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f428])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f431])).
% 0.13/0.40 fof(f447,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c5),sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f392,f203])).
% 0.13/0.40 fof(f449,plain,(
% 0.13/0.40 sk_c6=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f389,f447])).
% 0.13/0.40 fof(f472,plain,(
% 0.13/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f449,f203])).
% 0.13/0.40 fof(f474,plain,(
% 0.13/0.40 sk_c6=sk_c7|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f424,f472])).
% 0.13/0.40 fof(f475,plain,(
% 0.13/0.40 $false|sQ18_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f474,f192])).
% 0.13/0.40 fof(f476,plain,(
% 0.13/0.40 sQ18_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f475])).
% 0.13/0.40 fof(f478,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ17_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f420,f190,f73,f81,f77,f186])).
% 0.13/0.40 fof(f483,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f384,f134])).
% 0.13/0.40 fof(f492,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~inverse(sk_c6)=sk_c7|~sQ11_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f391,f483])).
% 0.13/0.40 fof(f500,definition,(
% 0.13/0.40 sQ22_spl <=> (sk_c6=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f502,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|sQ22_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f500])).
% 0.13/0.40 fof(f504,definition,(
% 0.13/0.40 sQ23_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f507,plain,(
% 0.13/0.40 ~sQ22_spl|~sQ23_spl|~sQ11_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f492,f500,f504,f133,f81,f77,f73])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 $false|sQ22_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f502])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 sQ22_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f513])).
% 0.13/0.40 fof(f538,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f474,f483])).
% 0.13/0.40 fof(f548,plain,(
% 0.13/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ11_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f474,f538])).
% 0.13/0.40 fof(f549,plain,(
% 0.13/0.40 ~inverse(sk_c5)=sk_c6|~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f548,f392])).
% 0.13/0.40 fof(f554,plain,(
% 0.13/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f389,f549])).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 $false|~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f554])).
% 0.13/0.40 fof(f556,plain,(
% 0.13/0.40 ~sQ5_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f555])).
% 0.13/0.40 fof(f560,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f327,f398])).
% 0.13/0.40 fof(f599,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f560,f337])).
% 0.13/0.40 fof(f600,plain,(
% 0.13/0.40 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f599])).
% 0.13/0.40 fof(f601,plain,(
% 0.13/0.40 ~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f600])).
% 0.13/0.40 fof(f614,plain,(
% 0.13/0.40 ~sQ18_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f148,f190,f81,f142,f77])).
% 0.13/0.40 fof(f635,definition,(
% 0.13/0.40 sQ25_spl <=> (sk_c3=sk_c6)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f637,plain,(
% 0.13/0.40 ~sk_c3=sk_c6|sQ25_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f635])).
% 0.13/0.40 fof(f638,plain,(
% 0.13/0.40 ~sQ25_spl|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f147,f635,f125,f142,f117])).
% 0.13/0.40 fof(f639,plain,(
% 0.13/0.40 ~sk_c2=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f320,f637])).
% 0.13/0.40 fof(f640,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f323,f639])).
% 0.13/0.40 fof(f641,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f640])).
% 0.13/0.40 fof(f642,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f641])).
% 0.13/0.40 fof(f643,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f152,f159,f165,f185,f189,f197,f374,f432,f476,f478,f507,f514,f556,f601,f614,f638,f642])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.051303 seconds
% 0.13/0.42 % CPU time: 0.171276 seconds
% 0.13/0.42 % Total memory used: 78.437 MB
% 0.13/0.42 % Net memory used: 78.291 MB
%------------------------------------------------------------------------------