%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP261-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP261-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.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 20:07:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f16,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f17,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f22,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f23,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f24,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f31,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f34,negated_conjecture,(
% 0.10/0.40 (![X3,X4,X1,X2,X5]: (( multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(sk_c6,sk_c8) != sk_c7| 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 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f56,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 ![X5]: (((![X2]: (((![X1]: ((((![X4]: (((![X3]: (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c8)=sk_c7)|~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)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c8)=sk_c7|~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)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.10/0.40 fof(f70,definition,(
% 0.10/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f71,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c8)=sk_c7|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.10/0.40 fof(f73,definition,(
% 0.10/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.10/0.40 fof(f77,definition,(
% 0.10/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c8|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 sQ0_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.10/0.40 fof(f81,definition,(
% 0.10/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f82,plain,(
% 0.10/0.40 multiply(sk_c4,sk_c7)=sk_c6|~sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.40 fof(f85,definition,(
% 0.10/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.40 fof(f89,definition,(
% 0.10/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 inverse(sk_c5)=sk_c6|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 sQ0_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.10/0.40 fof(f93,definition,(
% 0.10/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 sQ0_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.10/0.40 fof(f97,definition,(
% 0.10/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.40 fof(f100,plain,(
% 0.10/0.40 sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.10/0.40 fof(f101,plain,(
% 0.10/0.40 sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 sQ7_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.10/0.40 fof(f105,plain,(
% 0.10/0.40 sQ7_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.10/0.40 fof(f106,definition,(
% 0.10/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f107,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c7)=sk_c6|~sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.10/0.40 fof(f109,plain,(
% 0.10/0.40 sQ8_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 sQ8_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 sQ8_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ8_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.10/0.40 fof(f115,definition,(
% 0.10/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.40 fof(f118,plain,(
% 0.10/0.40 sQ9_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 sQ9_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.10/0.40 fof(f120,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.10/0.40 fof(f121,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.10/0.40 fof(f122,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.10/0.40 fof(f123,plain,(
% 0.10/0.40 sQ9_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.10/0.40 fof(f124,definition,(
% 0.10/0.40 sQ10_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c7|~sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f126,plain,(
% 0.10/0.40 ~multiply(sk_c6,sk_c8)=sk_c7|sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.10/0.40 fof(f127,plain,(
% 0.10/0.40 sQ10_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.10/0.40 fof(f128,plain,(
% 0.10/0.40 sQ10_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.10/0.40 fof(f129,plain,(
% 0.10/0.40 sQ10_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.10/0.40 fof(f130,plain,(
% 0.10/0.40 sQ10_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.10/0.40 fof(f131,plain,(
% 0.10/0.40 sQ10_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 sQ10_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.10/0.40 fof(f133,definition,(
% 0.10/0.40 ![X0]: (sQ11_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.10/0.40 fof(f136,definition,(
% 0.10/0.40 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.40 fof(f139,definition,(
% 0.10/0.40 ![X4]: (sQ13_spl <=> (~inverse(X4)=sk_c6|~multiply(X4,sk_c8)=sk_c6))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c8)=sk_c6|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.10/0.40 fof(f142,plain,(
% 0.10/0.40 sQ11_spl|sQ12_spl|~sQ10_spl|sQ13_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f69,f133,f136,f124,f139])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 ~inverse(sk_c5)=sk_c6|~sQ13_spl|~sQ6_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f140,f94])).
% 0.10/0.40 fof(f147,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c6|~sk_c7=sk_c6|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ13_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f143])).
% 0.10/0.40 fof(f149,plain,(
% 0.10/0.40 $false|~sQ5_spl|~sQ13_spl|~sQ6_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.10/0.40 fof(f150,plain,(
% 0.10/0.40 ~sQ5_spl|~sQ13_spl|~sQ6_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f149])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f137,f82])).
% 0.10/0.40 fof(f152,plain,(
% 0.10/0.40 ~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f137,f107])).
% 0.10/0.40 fof(f155,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f86,f151])).
% 0.10/0.40 fof(f156,plain,(
% 0.10/0.40 $false|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 0.10/0.40 fof(f157,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f156])).
% 0.10/0.40 fof(f159,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c8|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f134,f74])).
% 0.10/0.40 fof(f160,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c8|~sQ11_spl|~sQ0_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f134,f71])).
% 0.10/0.40 fof(f165,plain,(
% 0.10/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f78,f159])).
% 0.10/0.40 fof(f166,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f165])).
% 0.10/0.40 fof(f167,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f166])).
% 0.10/0.40 fof(f168,plain,(
% 0.10/0.40 ~sk_c8=sk_c8|~sQ7_spl|~sQ11_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f160])).
% 0.10/0.40 fof(f169,plain,(
% 0.10/0.40 $false|~sQ7_spl|~sQ11_spl|~sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f168])).
% 0.10/0.40 fof(f170,plain,(
% 0.10/0.40 ~sQ7_spl|~sQ11_spl|~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f169])).
% 0.10/0.40 fof(f171,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f152])).
% 0.10/0.40 fof(f172,plain,(
% 0.10/0.40 $false|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f171])).
% 0.10/0.40 fof(f173,plain,(
% 0.10/0.40 ~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f172])).
% 0.10/0.40 fof(f177,definition,(
% 0.10/0.40 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f179,plain,(
% 0.10/0.40 ~sk_c7=sk_c6|sQ15_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f177])).
% 0.10/0.40 fof(f181,definition,(
% 0.10/0.40 sQ16_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f183,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c6|sQ16_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.10/0.40 fof(f184,plain,(
% 0.10/0.40 ~sQ16_spl|~sQ15_spl|~sQ13_spl|~sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f147,f181,f177,f139,f70])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.10/0.40 fof(f195,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f35,f194])).
% 0.10/0.40 fof(f209,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f71,f195])).
% 0.10/0.40 fof(f210,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f107,f195])).
% 0.10/0.40 fof(f212,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f209])).
% 0.10/0.40 fof(f213,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f116,f210])).
% 0.10/0.40 fof(f221,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f212,f195])).
% 0.10/0.40 fof(f223,plain,(
% 0.10/0.40 sk_c7=identity|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f36,f221])).
% 0.10/0.40 fof(f227,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f223,f36])).
% 0.10/0.40 fof(f228,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f223,f35])).
% 0.10/0.40 fof(f231,plain,(
% 0.10/0.40 sk_c7=sk_c6|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f228,f213])).
% 0.10/0.40 fof(f232,plain,(
% 0.10/0.40 $false|sQ15_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f231,f179])).
% 0.10/0.40 fof(f233,plain,(
% 0.10/0.40 sQ15_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f232])).
% 0.10/0.40 fof(f234,plain,(
% 0.10/0.40 ~sk_c8=sk_c6|~sQ7_spl|sQ16_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f183])).
% 0.10/0.40 fof(f235,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f231,f228])).
% 0.10/0.40 fof(f238,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f231,f125])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f231,f116])).
% 0.10/0.40 fof(f243,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f231,f227])).
% 0.10/0.40 fof(f248,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(sk_c6,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f243,f37])).
% 0.10/0.40 fof(f252,definition,(
% 0.10/0.40 sQ18_spl <=> (sk_c6=sk_c6)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f254,plain,(
% 0.10/0.40 ~sk_c6=sk_c6|sQ18_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f252])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f195,f248])).
% 0.10/0.40 fof(f269,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f241,f243])).
% 0.10/0.40 fof(f271,plain,(
% 0.10/0.40 sk_c2=sk_c6|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f235,f269])).
% 0.10/0.40 fof(f280,plain,(
% 0.10/0.40 ~sk_c8=sk_c2|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ7_spl|sQ16_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f271,f234])).
% 0.10/0.40 fof(f284,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f271,f238])).
% 0.10/0.40 fof(f285,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f271,f284])).
% 0.10/0.40 fof(f288,plain,(
% 0.10/0.40 sk_c8=sk_c2|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f289,f285])).
% 0.10/0.40 fof(f289,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f271,f256])).
% 0.10/0.40 fof(f292,plain,(
% 0.10/0.40 $false|sQ16_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f288,f280])).
% 0.10/0.40 fof(f293,plain,(
% 0.10/0.40 sQ16_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f292])).
% 0.10/0.40 fof(f294,plain,(
% 0.10/0.40 $false|sQ18_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f254])).
% 0.10/0.40 fof(f295,plain,(
% 0.10/0.40 sQ18_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f294])).
% 0.10/0.40 fof(f300,plain,(
% 0.10/0.40 sk_c7=multiply(inverse(sk_c4),sk_c6)|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f82,f195])).
% 0.10/0.40 fof(f302,plain,(
% 0.10/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f86,f300])).
% 0.10/0.40 fof(f303,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f94,f195])).
% 0.10/0.40 fof(f305,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c6,sk_c6)|~sQ5_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f303])).
% 0.10/0.40 fof(f308,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f74,f195])).
% 0.10/0.40 fof(f310,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f78,f308])).
% 0.10/0.40 fof(f329,plain,(
% 0.10/0.40 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f302,f195])).
% 0.10/0.40 fof(f331,plain,(
% 0.10/0.40 sk_c6=identity|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f36,f329])).
% 0.10/0.40 fof(f332,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ3_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f331,f36])).
% 0.10/0.40 fof(f335,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f331,f35])).
% 0.10/0.40 fof(f336,plain,(
% 0.10/0.40 ~sk_c8=sk_c7|~sQ4_spl|~sQ3_spl|sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f335,f126])).
% 0.10/0.40 fof(f339,plain,(
% 0.10/0.40 sk_c8=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f335,f305])).
% 0.10/0.40 fof(f343,plain,(
% 0.10/0.40 ~sk_c6=sk_c7|~sQ5_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|sQ10_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f339,f336])).
% 0.10/0.40 fof(f346,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f339,f94])).
% 0.10/0.40 fof(f349,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f90,f332])).
% 0.10/0.40 fof(f353,plain,(
% 0.10/0.40 sk_c5=sk_c6|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f335,f349])).
% 0.10/0.40 fof(f359,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f346,f37])).
% 0.10/0.40 fof(f361,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f335,f359])).
% 0.10/0.40 fof(f362,plain,(
% 0.10/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f335,f361])).
% 0.10/0.40 fof(f366,plain,(
% 0.10/0.40 sk_c8=sk_c5|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f353,f339])).
% 0.10/0.40 fof(f374,plain,(
% 0.10/0.40 ~sk_c7=sk_c5|~sQ4_spl|~sQ3_spl|~sQ5_spl|sQ15_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f353,f179])).
% 0.10/0.40 fof(f392,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f366,f310])).
% 0.10/0.40 fof(f393,plain,(
% 0.10/0.40 sk_c5=multiply(sk_c5,sk_c7)|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f366,f392])).
% 0.10/0.40 fof(f394,plain,(
% 0.10/0.40 sk_c5=sk_c7|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f362,f393])).
% 0.10/0.40 fof(f395,plain,(
% 0.10/0.40 $false|sQ15_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f394,f374])).
% 0.10/0.40 fof(f396,plain,(
% 0.10/0.40 sQ15_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f395])).
% 0.10/0.40 fof(f397,plain,(
% 0.10/0.40 ~sQ15_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|sQ10_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f343,f177,f89,f93,f85,f81,f124])).
% 0.10/0.40 fof(f399,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f92,f96,f100,f101,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f150,f157,f167,f170,f173,f184,f233,f293,f295,f396,f397])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.052177 seconds
% 0.13/0.42 % CPU time: 0.179661 seconds
% 0.13/0.42 % Total memory used: 90.372 MB
% 0.13/0.42 % Net memory used: 90.243 MB
%------------------------------------------------------------------------------