%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP333-1 : 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 : 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 12:36:27 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 : GRP333-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:14:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6 ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,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(f23,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(f24,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(f25,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 ![X2]: (((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6)),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.39 fof(f44,definition,(
% 0.14/0.39 sQ0_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f44])).
% 0.14/0.39 fof(f47,definition,(
% 0.14/0.39 sQ1_spl <=> (multiply(sk_c3,sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f26,f44,f47])).
% 0.14/0.39 fof(f51,definition,(
% 0.14/0.39 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f51])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f27,f44,f51])).
% 0.14/0.39 fof(f55,definition,(
% 0.14/0.39 sQ3_spl <=> (multiply(sk_c4,sk_c6)=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 multiply(sk_c4,sk_c6)=sk_c5|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 sQ0_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f28,f44,f55])).
% 0.14/0.39 fof(f59,definition,(
% 0.14/0.39 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 sQ0_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f29,f44,f59])).
% 0.14/0.39 fof(f63,definition,(
% 0.14/0.39 sQ5_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c6|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 sQ5_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f30,f63,f47])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 sQ5_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f31,f63,f51])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f32,f63,f55])).
% 0.14/0.39 fof(f69,plain,(
% 0.14/0.39 sQ5_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f33,f63,f59])).
% 0.14/0.39 fof(f70,definition,(
% 0.14/0.39 sQ6_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f34,f70,f47])).
% 0.14/0.39 fof(f74,plain,(
% 0.14/0.39 sQ6_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f35,f70,f51])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 sQ6_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f36,f70,f55])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 sQ6_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f37,f70,f59])).
% 0.14/0.39 fof(f77,definition,(
% 0.14/0.39 sQ7_spl <=> (multiply(sk_c2,sk_c5)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c5)=sk_c6|~sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 sQ7_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f38,f77,f47])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 sQ7_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f39,f77,f51])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f40,f77,f55])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 sQ7_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f41,f77,f59])).
% 0.14/0.39 fof(f84,definition,(
% 0.14/0.39 sQ8_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f84])).
% 0.14/0.39 fof(f87,definition,(
% 0.14/0.39 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ9_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.39 fof(f90,definition,(
% 0.14/0.39 ![X1]: (sQ10_spl <=> (~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f91,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ10_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.39 fof(f93,definition,(
% 0.14/0.39 ![X2]: (sQ11_spl <=> (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f94,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.39 fof(f96,definition,(
% 0.14/0.39 ![X3]: (sQ12_spl <=> (~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f97,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f96])).
% 0.14/0.39 fof(f99,plain,(
% 0.14/0.39 ~sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f43,f84,f87,f90,f93,f96])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c6|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f97,f56])).
% 0.14/0.39 fof(f102,plain,(
% 0.14/0.39 ~sk_c7=sk_c5|~inverse(sk_c1)=sk_c6|~sQ12_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f45,f97])).
% 0.14/0.39 fof(f103,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f60,f100])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f103])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ12_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f104])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 ~sk_c5=sk_c5|sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f25,f86])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 $false|sQ8_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f106])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 sQ8_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f107])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ1_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f94,f48])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f52,f109])).
% 0.14/0.39 fof(f113,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f112])).
% 0.14/0.39 fof(f114,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ11_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f113])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ7_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f91,f78])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ6_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f71,f115])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 $false|~sQ6_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.14/0.39 fof(f119,plain,(
% 0.14/0.39 ~sQ6_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f118])).
% 0.14/0.39 fof(f128,plain,(
% 0.14/0.39 ~sk_c5=sk_c7|~inverse(sk_c4)=sk_c6|~sQ9_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f88])).
% 0.14/0.39 fof(f129,definition,(
% 0.14/0.39 sQ13_spl <=> (sk_c5=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f130,plain,(
% 0.14/0.39 sk_c5=sk_c7|~sQ13_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.39 fof(f131,plain,(
% 0.14/0.39 ~sk_c5=sk_c7|sQ13_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 ~sQ13_spl|~sQ4_spl|~sQ9_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f128,f129,f59,f87,f55])).
% 0.14/0.39 fof(f135,definition,(
% 0.14/0.39 sQ14_spl <=> (sk_c6=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 ~sk_c6=sk_c7|sQ14_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.39 fof(f145,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f23,f24])).
% 0.14/0.39 fof(f153,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f22,f145])).
% 0.14/0.39 fof(f165,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c3),sk_c6)|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f48,f153])).
% 0.14/0.39 fof(f166,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c4),sk_c5)|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f56,f153])).
% 0.14/0.39 fof(f171,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f52,f165])).
% 0.14/0.39 fof(f172,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c6,sk_c5)|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f60,f166])).
% 0.14/0.39 fof(f186,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~inverse(sk_c7)=sk_c6|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f171,f88])).
% 0.14/0.39 fof(f187,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f171,f153])).
% 0.14/0.39 fof(f189,definition,(
% 0.14/0.39 sQ19_spl <=> (sk_c7=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f191,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|sQ19_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f189])).
% 0.14/0.39 fof(f192,definition,(
% 0.14/0.39 sQ20_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f195,plain,(
% 0.14/0.39 ~sQ19_spl|~sQ20_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f186,f189,f192,f87,f51,f47])).
% 0.14/0.39 fof(f196,plain,(
% 0.14/0.39 sk_c6=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f23,f187])).
% 0.14/0.39 fof(f197,plain,(
% 0.14/0.39 $false|sQ19_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f191])).
% 0.14/0.39 fof(f198,plain,(
% 0.14/0.39 sQ19_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f197])).
% 0.14/0.39 fof(f203,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f196,f23])).
% 0.14/0.39 fof(f204,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f196,f22])).
% 0.14/0.39 fof(f205,plain,(
% 0.14/0.39 sk_c7=sk_c5|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f204,f25])).
% 0.14/0.39 fof(f209,plain,(
% 0.14/0.39 $false|sQ13_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f205,f131])).
% 0.14/0.39 fof(f210,plain,(
% 0.14/0.39 sQ13_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f209])).
% 0.14/0.39 fof(f211,definition,(
% 0.14/0.39 sQ21_spl <=> (sk_c6=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f213,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|sQ21_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f211])).
% 0.14/0.39 fof(f215,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f60,f203])).
% 0.14/0.39 fof(f219,plain,(
% 0.14/0.39 sk_c4=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f204,f215])).
% 0.14/0.39 fof(f227,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c5))=sk_c6|~sk_c6=sk_c6|~sQ10_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f203,f91])).
% 0.14/0.39 fof(f230,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|~sk_c5=sk_c6|~sQ10_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f204,f91])).
% 0.14/0.39 fof(f231,definition,(
% 0.14/0.39 sQ22_spl <=> (inverse(inverse(sk_c5))=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f234,plain,(
% 0.14/0.39 ~sQ22_spl|~sQ21_spl|~sQ10_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f227,f231,f211,f90,f51,f47])).
% 0.14/0.39 fof(f236,definition,(
% 0.14/0.39 sQ23_spl <=> (inverse(sk_c6)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f238,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c6|sQ23_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f236])).
% 0.14/0.39 fof(f239,definition,(
% 0.14/0.39 sQ24_spl <=> (sk_c5=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 ~sk_c5=sk_c6|sQ24_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f239])).
% 0.14/0.39 fof(f242,plain,(
% 0.14/0.39 ~sQ23_spl|~sQ24_spl|~sQ10_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f230,f236,f239,f90,f51,f47])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c4,X0)=X0|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f219,f204])).
% 0.14/0.39 fof(f247,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f219,f60])).
% 0.14/0.39 fof(f253,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ23_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f219,f238])).
% 0.14/0.39 fof(f254,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ23_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f219,f253])).
% 0.14/0.39 fof(f261,plain,(
% 0.14/0.39 $false|sQ23_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f247,f254])).
% 0.14/0.39 fof(f262,plain,(
% 0.14/0.39 sQ23_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f261])).
% 0.14/0.39 fof(f263,plain,(
% 0.14/0.39 ~sk_c5=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ24_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f219,f241])).
% 0.14/0.39 fof(f268,plain,(
% 0.14/0.39 sk_c4=multiply(sk_c6,sk_c5)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f219,f172])).
% 0.14/0.39 fof(f269,plain,(
% 0.14/0.39 sk_c4=multiply(sk_c4,sk_c5)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f219,f268])).
% 0.14/0.39 fof(f270,plain,(
% 0.14/0.39 sk_c4=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f245,f269])).
% 0.14/0.39 fof(f271,plain,(
% 0.14/0.39 $false|sQ24_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f270,f263])).
% 0.14/0.39 fof(f272,plain,(
% 0.14/0.39 sQ24_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f271])).
% 0.14/0.39 fof(f273,plain,(
% 0.14/0.39 $false|sQ21_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f213])).
% 0.14/0.39 fof(f274,plain,(
% 0.14/0.39 sQ21_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f273])).
% 0.14/0.39 fof(f280,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f45,f153])).
% 0.14/0.39 fof(f282,plain,(
% 0.14/0.39 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f64,f280])).
% 0.14/0.39 fof(f288,plain,(
% 0.14/0.39 sk_c5=multiply(inverse(sk_c2),sk_c6)|~sQ7_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f78,f153])).
% 0.14/0.39 fof(f290,plain,(
% 0.14/0.39 sk_c5=multiply(sk_c6,sk_c6)|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f71,f288])).
% 0.14/0.39 fof(f298,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c2)=identity|~sQ6_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f71,f23])).
% 0.14/0.39 fof(f305,plain,(
% 0.14/0.39 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ11_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f22,f94])).
% 0.14/0.39 fof(f310,definition,(
% 0.14/0.39 sQ26_spl <=> (inverse(identity)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f312,plain,(
% 0.14/0.39 ~inverse(identity)=sk_c7|sQ26_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f310])).
% 0.14/0.39 fof(f313,plain,(
% 0.14/0.39 ~sQ14_spl|~sQ26_spl|~sQ11_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f305,f135,f310,f93])).
% 0.14/0.39 fof(f325,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c6|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f88,f45])).
% 0.14/0.39 fof(f332,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ5_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f64,f325])).
% 0.14/0.39 fof(f333,plain,(
% 0.14/0.39 $false|~sQ5_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.14/0.39 fof(f334,plain,(
% 0.14/0.39 ~sQ5_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f333])).
% 0.14/0.39 fof(f344,plain,(
% 0.14/0.39 sk_c6=sk_c5|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f25,f282])).
% 0.14/0.39 fof(f347,plain,(
% 0.14/0.39 ~sQ13_spl|~sQ5_spl|~sQ12_spl|~sQ0_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f102,f129,f63,f96,f44])).
% 0.14/0.39 fof(f348,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c7)=sk_c5|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f344,f25])).
% 0.14/0.39 fof(f350,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c5|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f344,f71])).
% 0.14/0.39 fof(f360,plain,(
% 0.14/0.39 sk_c5=multiply(sk_c5,sk_c6)|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f344,f290])).
% 0.14/0.39 fof(f361,plain,(
% 0.14/0.39 sk_c5=multiply(sk_c5,sk_c5)|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f344,f360])).
% 0.14/0.39 fof(f362,plain,(
% 0.14/0.39 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f361,f153])).
% 0.14/0.39 fof(f364,plain,(
% 0.14/0.39 sk_c5=identity|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f23,f362])).
% 0.14/0.39 fof(f367,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f364,f22])).
% 0.14/0.39 fof(f371,plain,(
% 0.14/0.39 multiply(sk_c5,sk_c2)=identity|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f344,f298])).
% 0.14/0.39 fof(f372,plain,(
% 0.14/0.39 sk_c5=sk_c2|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f373,f364])).
% 0.14/0.39 fof(f373,plain,(
% 0.14/0.39 sk_c2=identity|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f367,f371])).
% 0.14/0.39 fof(f374,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f372,f367])).
% 0.14/0.39 fof(f376,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c2|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f372,f350])).
% 0.14/0.39 fof(f377,plain,(
% 0.14/0.39 ~sk_c2=sk_c7|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|sQ13_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f372,f131])).
% 0.14/0.39 fof(f379,plain,(
% 0.14/0.39 sk_c6=sk_c2|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f372,f344])).
% 0.14/0.39 fof(f400,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c7)=sk_c5|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f372,f348])).
% 0.14/0.39 fof(f401,plain,(
% 0.14/0.39 sk_c7=sk_c5|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f374,f400])).
% 0.14/0.39 fof(f402,plain,(
% 0.14/0.39 sk_c7=sk_c2|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f372,f401])).
% 0.14/0.39 fof(f403,plain,(
% 0.14/0.39 $false|sQ13_spl|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f402,f377])).
% 0.14/0.39 fof(f404,plain,(
% 0.14/0.39 sQ13_spl|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f403])).
% 0.14/0.39 fof(f405,plain,(
% 0.14/0.39 ~sk_c2=sk_c7|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f379,f137])).
% 0.14/0.39 fof(f416,plain,(
% 0.14/0.39 sk_c2=sk_c7|~sQ5_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ13_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f372,f130])).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 $false|sQ14_spl|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f402,f405])).
% 0.14/0.39 fof(f419,plain,(
% 0.14/0.39 sQ14_spl|~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f418])).
% 0.14/0.39 fof(f420,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c7|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl|sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f373,f312])).
% 0.14/0.39 fof(f421,plain,(
% 0.14/0.39 ~sk_c2=sk_c7|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl|sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f376,f420])).
% 0.14/0.39 fof(f427,plain,(
% 0.14/0.39 ~sk_c2=sk_c2|~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl|sQ26_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f416,f421])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 $false|~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl|sQ26_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f427])).
% 0.14/0.39 fof(f429,plain,(
% 0.14/0.39 ~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|~sQ6_spl|sQ26_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f428])).
% 0.14/0.39 fof(f430,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f105,f108,f114,f119,f132,f195,f198,f210,f234,f242,f262,f272,f274,f313,f334,f347,f404,f419,f429])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.039322 seconds
% 0.14/0.41 % CPU time: 0.112957 seconds
% 0.14/0.41 % Total memory used: 26.207 MB
% 0.14/0.41 % Net memory used: 26.146 MB
%------------------------------------------------------------------------------