%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP315-1 : 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 : n005.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 0.14s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP315-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.36 % Computer : n005.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Sun Sep 20 20:09:08 UTC 2026
% 0.11/5.36 % CPUTime :
% 0.11/5.38 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.41 fof(f1,axiom,(
% 0.14/5.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f2,axiom,(
% 0.14/5.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f3,axiom,(
% 0.14/5.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f4,negated_conjecture,(
% 0.14/5.41 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f5,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f6,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f7,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f8,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f9,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f10,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f11,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f12,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f13,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f14,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f15,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f16,negated_conjecture,(
% 0.14/5.41 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f17,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f18,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f19,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f20,negated_conjecture,(
% 0.14/5.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f21,negated_conjecture,(
% 0.14/5.41 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.14/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.41 fof(f22,plain,(
% 0.14/5.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.41 fof(f23,plain,(
% 0.14/5.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.41 fof(f24,plain,(
% 0.14/5.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.41 fof(f25,plain,(
% 0.14/5.41 multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.41 fof(f26,plain,(
% 0.14/5.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.41 fof(f27,plain,(
% 0.14/5.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/5.41 fof(f28,plain,(
% 0.14/5.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/5.41 fof(f29,plain,(
% 0.14/5.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/5.41 fof(f30,plain,(
% 0.14/5.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/5.41 fof(f31,plain,(
% 0.14/5.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.41 fof(f32,plain,(
% 0.14/5.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/5.41 fof(f33,plain,(
% 0.14/5.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/5.41 fof(f34,plain,(
% 0.14/5.41 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/5.41 fof(f35,plain,(
% 0.14/5.41 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/5.41 fof(f36,plain,(
% 0.14/5.41 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/5.41 fof(f37,plain,(
% 0.14/5.41 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.41 fof(f38,plain,(
% 0.14/5.41 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/5.41 fof(f39,plain,(
% 0.14/5.41 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/5.41 fof(f40,plain,(
% 0.14/5.41 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/5.41 fof(f41,plain,(
% 0.14/5.41 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/5.41 fof(f42,plain,(
% 0.14/5.41 ![X2]: (((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.14/5.41 inference(miniscoping,[status(thm)],[f21])).
% 0.14/5.41 fof(f43,plain,(
% 0.14/5.41 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.14/5.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/5.41 fof(f44,definition,(
% 0.14/5.41 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f45,plain,(
% 0.14/5.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f44])).
% 0.14/5.41 fof(f47,definition,(
% 0.14/5.41 sQ1_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f48,plain,(
% 0.14/5.41 inverse(sk_c3)=sk_c7|~sQ1_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f47])).
% 0.14/5.41 fof(f50,plain,(
% 0.14/5.41 sQ0_spl|sQ1_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f26,f44,f47])).
% 0.14/5.41 fof(f51,definition,(
% 0.14/5.41 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f52,plain,(
% 0.14/5.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f51])).
% 0.14/5.41 fof(f54,plain,(
% 0.14/5.41 sQ0_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f27,f44,f51])).
% 0.14/5.41 fof(f55,definition,(
% 0.14/5.41 sQ3_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f56,plain,(
% 0.14/5.41 inverse(sk_c4)=sk_c6|~sQ3_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f55])).
% 0.14/5.41 fof(f58,plain,(
% 0.14/5.41 sQ0_spl|sQ3_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f28,f44,f55])).
% 0.14/5.41 fof(f59,definition,(
% 0.14/5.41 sQ4_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f60,plain,(
% 0.14/5.41 multiply(sk_c4,sk_c5)=sk_c6|~sQ4_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f59])).
% 0.14/5.41 fof(f62,plain,(
% 0.14/5.41 sQ0_spl|sQ4_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f29,f44,f59])).
% 0.14/5.41 fof(f63,definition,(
% 0.14/5.41 sQ5_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f64,plain,(
% 0.14/5.41 inverse(sk_c1)=sk_c7|~sQ5_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f63])).
% 0.14/5.41 fof(f66,plain,(
% 0.14/5.41 sQ5_spl|sQ1_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f30,f63,f47])).
% 0.14/5.41 fof(f67,plain,(
% 0.14/5.41 sQ5_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f31,f63,f51])).
% 0.14/5.41 fof(f68,plain,(
% 0.14/5.41 sQ5_spl|sQ3_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f32,f63,f55])).
% 0.14/5.41 fof(f69,plain,(
% 0.14/5.41 sQ5_spl|sQ4_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f33,f63,f59])).
% 0.14/5.41 fof(f70,definition,(
% 0.14/5.41 sQ6_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f71,plain,(
% 0.14/5.41 multiply(sk_c2,sk_c6)=sk_c5|~sQ6_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/5.41 fof(f73,plain,(
% 0.14/5.41 sQ6_spl|sQ1_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f34,f70,f47])).
% 0.14/5.41 fof(f74,plain,(
% 0.14/5.41 sQ6_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f35,f70,f51])).
% 0.14/5.41 fof(f75,plain,(
% 0.14/5.41 sQ6_spl|sQ3_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f36,f70,f55])).
% 0.14/5.41 fof(f76,plain,(
% 0.14/5.41 sQ6_spl|sQ4_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f37,f70,f59])).
% 0.14/5.41 fof(f77,definition,(
% 0.14/5.41 sQ7_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f78,plain,(
% 0.14/5.41 inverse(sk_c2)=sk_c6|~sQ7_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f77])).
% 0.14/5.41 fof(f80,plain,(
% 0.14/5.41 sQ7_spl|sQ1_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f38,f77,f47])).
% 0.14/5.41 fof(f81,plain,(
% 0.14/5.41 sQ7_spl|sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f39,f77,f51])).
% 0.14/5.41 fof(f82,plain,(
% 0.14/5.41 sQ7_spl|sQ3_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f40,f77,f55])).
% 0.14/5.41 fof(f83,plain,(
% 0.14/5.41 sQ7_spl|sQ4_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f41,f77,f59])).
% 0.14/5.41 fof(f84,definition,(
% 0.14/5.41 sQ8_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f86,plain,(
% 0.14/5.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ8_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f84])).
% 0.14/5.41 fof(f87,definition,(
% 0.14/5.41 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f88,plain,(
% 0.14/5.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ9_spl)),
% 0.14/5.41 inference(component_clause,[status(thm)],[f87])).
% 0.14/5.41 fof(f90,definition,(
% 0.14/5.41 ![X1]: (sQ10_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f91,plain,(
% 0.14/5.41 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.14/5.41 inference(component_clause,[status(thm)],[f90])).
% 0.14/5.41 fof(f93,definition,(
% 0.14/5.41 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f94,plain,(
% 0.14/5.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.14/5.41 inference(component_clause,[status(thm)],[f93])).
% 0.14/5.41 fof(f96,definition,(
% 0.14/5.41 ![X3]: (sQ12_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f97,plain,(
% 0.14/5.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ12_spl)),
% 0.14/5.41 inference(component_clause,[status(thm)],[f96])).
% 0.14/5.41 fof(f99,plain,(
% 0.14/5.41 ~sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f43,f84,f87,f90,f93,f96])).
% 0.14/5.41 fof(f100,plain,(
% 0.14/5.41 ~inverse(sk_c4)=sk_c6|~sQ12_spl|~sQ4_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f97,f60])).
% 0.14/5.41 fof(f102,plain,(
% 0.14/5.41 ~sk_c6=sk_c6|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f56,f100])).
% 0.14/5.41 fof(f103,plain,(
% 0.14/5.41 $false|~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.14/5.41 inference(trivial_equality_resolution,[status(thm)],[f102])).
% 0.14/5.41 fof(f104,plain,(
% 0.14/5.41 ~sQ3_spl|~sQ12_spl|~sQ4_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f103])).
% 0.14/5.41 fof(f105,plain,(
% 0.14/5.41 ~sk_c5=sk_c5|sQ8_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f25,f86])).
% 0.14/5.41 fof(f106,plain,(
% 0.14/5.41 $false|sQ8_spl),
% 0.14/5.41 inference(trivial_equality_resolution,[status(thm)],[f105])).
% 0.14/5.41 fof(f107,plain,(
% 0.14/5.41 sQ8_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f106])).
% 0.14/5.41 fof(f108,plain,(
% 0.14/5.41 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ2_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f94,f52])).
% 0.14/5.41 fof(f111,plain,(
% 0.14/5.41 ~sk_c7=sk_c7|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f48,f108])).
% 0.14/5.41 fof(f112,plain,(
% 0.14/5.41 $false|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.14/5.41 inference(trivial_equality_resolution,[status(thm)],[f111])).
% 0.14/5.41 fof(f113,plain,(
% 0.14/5.41 ~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f112])).
% 0.14/5.41 fof(f114,plain,(
% 0.14/5.41 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ6_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f91,f71])).
% 0.14/5.41 fof(f115,plain,(
% 0.14/5.41 ~sk_c7=sk_c5|~inverse(sk_c3)=sk_c6|~sQ10_spl|~sQ2_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f52,f91])).
% 0.14/5.41 fof(f117,plain,(
% 0.14/5.41 ~sk_c6=sk_c6|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f78,f114])).
% 0.14/5.41 fof(f118,plain,(
% 0.14/5.41 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/5.41 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.14/5.41 fof(f119,plain,(
% 0.14/5.41 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f118])).
% 0.14/5.41 fof(f123,plain,(
% 0.14/5.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f25,f24])).
% 0.14/5.41 fof(f127,plain,(
% 0.14/5.41 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~sQ9_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f25,f88])).
% 0.14/5.41 fof(f128,definition,(
% 0.14/5.41 sQ13_spl <=> (sk_c5=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f129,plain,(
% 0.14/5.41 sk_c5=sk_c6|~sQ13_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f128])).
% 0.14/5.41 fof(f130,plain,(
% 0.14/5.41 ~sk_c5=sk_c6|sQ13_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f128])).
% 0.14/5.41 fof(f131,definition,(
% 0.14/5.41 sQ14_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f133,plain,(
% 0.14/5.41 ~inverse(sk_c6)=sk_c7|sQ14_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f131])).
% 0.14/5.41 fof(f134,plain,(
% 0.14/5.41 ~sQ13_spl|~sQ14_spl|~sQ9_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f127,f128,f131,f87])).
% 0.14/5.41 fof(f137,definition,(
% 0.14/5.41 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f138,plain,(
% 0.14/5.41 sk_c7=sk_c6|~sQ15_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f137])).
% 0.14/5.41 fof(f139,plain,(
% 0.14/5.41 ~sk_c7=sk_c6|sQ15_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f137])).
% 0.14/5.41 fof(f148,plain,(
% 0.14/5.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f23,f24])).
% 0.14/5.41 fof(f156,plain,(
% 0.14/5.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f22,f148])).
% 0.14/5.41 fof(f171,plain,(
% 0.14/5.41 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f52,f156])).
% 0.14/5.41 fof(f172,plain,(
% 0.14/5.41 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ4_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f60,f156])).
% 0.14/5.41 fof(f177,plain,(
% 0.14/5.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f48,f171])).
% 0.14/5.41 fof(f178,plain,(
% 0.14/5.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ3_spl|~sQ4_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f56,f172])).
% 0.14/5.41 fof(f191,plain,(
% 0.14/5.41 ~inverse(sk_c7)=sk_c7|~sQ1_spl|~sQ2_spl|~sQ9_spl),
% 0.14/5.41 inference(resolution,[status(thm)],[f177,f88])).
% 0.14/5.41 fof(f195,definition,(
% 0.14/5.41 sQ20_spl <=> (sk_c6=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f197,plain,(
% 0.14/5.41 ~sk_c6=sk_c6|sQ20_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f195])).
% 0.14/5.41 fof(f202,plain,(
% 0.14/5.41 $false|sQ20_spl),
% 0.14/5.41 inference(trivial_equality_resolution,[status(thm)],[f197])).
% 0.14/5.41 fof(f203,plain,(
% 0.14/5.41 sQ20_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f202])).
% 0.14/5.41 fof(f221,plain,(
% 0.14/5.41 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f177,f123])).
% 0.14/5.41 fof(f226,plain,(
% 0.14/5.41 multiply(sk_c5,sk_c7)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f178,f221])).
% 0.14/5.41 fof(f234,plain,(
% 0.14/5.41 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(paramodulation,[status(thm)],[f226,f156])).
% 0.14/5.41 fof(f241,plain,(
% 0.14/5.41 sk_c7=identity|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f23,f234])).
% 0.14/5.41 fof(f247,plain,(
% 0.14/5.41 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/5.41 inference(backward_demodulation,[status(thm)],[f241,f23])).
% 0.14/5.41 fof(f248,plain,(
% 0.14/5.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.14/5.41 inference(backward_demodulation,[status(thm)],[f241,f22])).
% 0.14/5.41 fof(f249,plain,(
% 0.14/5.41 sk_c6=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(backward_demodulation,[status(thm)],[f248,f177])).
% 0.14/5.41 fof(f255,plain,(
% 0.14/5.41 $false|sQ15_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(forward_subsumption_resolution,[status(thm)],[f249,f139])).
% 0.14/5.41 fof(f256,plain,(
% 0.14/5.41 sQ15_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.41 inference(contradiction_clause,[status(thm)],[f255])).
% 0.14/5.41 fof(f257,definition,(
% 0.14/5.41 sQ23_spl <=> (sk_c7=sk_c5)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f259,plain,(
% 0.14/5.41 ~sk_c7=sk_c5|sQ23_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f257])).
% 0.14/5.41 fof(f260,definition,(
% 0.14/5.41 sQ24_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.14/5.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/5.41 fof(f261,plain,(
% 0.14/5.41 inverse(sk_c3)=sk_c6|~sQ24_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f260])).
% 0.14/5.41 fof(f262,plain,(
% 0.14/5.41 ~inverse(sk_c3)=sk_c6|sQ24_spl),
% 0.14/5.41 inference(component_clause,[status(thm)],[f260])).
% 0.14/5.41 fof(f263,plain,(
% 0.14/5.41 ~sQ23_spl|~sQ24_spl|~sQ10_spl|~sQ2_spl),
% 0.14/5.41 inference(split_clause,[status(thm)],[f115,f257,f260,f90,f51])).
% 0.14/5.41 fof(f266,plain,(
% 0.14/5.41 sk_c5=multiply(sk_c6,sk_c7)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.41 inference(backward_demodulation,[status(thm)],[f249,f178])).
% 0.14/5.41 fof(f274,plain,(
% 0.14/5.41 sk_c5=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.41 inference(forward_demodulation,[status(thm)],[f249,f266])).
% 0.14/5.42 fof(f275,plain,(
% 0.14/5.42 sk_c5=sk_c7|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f248,f274])).
% 0.14/5.42 fof(f277,plain,(
% 0.14/5.42 multiply(sk_c7,sk_c3)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f48,f247])).
% 0.14/5.42 fof(f280,plain,(
% 0.14/5.42 sk_c3=sk_c7|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f248,f277])).
% 0.14/5.42 fof(f282,plain,(
% 0.14/5.42 $false|sQ23_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f275,f259])).
% 0.14/5.42 fof(f283,plain,(
% 0.14/5.42 sQ23_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f282])).
% 0.14/5.42 fof(f284,plain,(
% 0.14/5.42 ~sk_c7=sk_c6|~sQ1_spl|sQ24_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f48,f262])).
% 0.14/5.42 fof(f285,plain,(
% 0.14/5.42 ~sk_c7=sk_c7|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f249,f284])).
% 0.14/5.42 fof(f286,plain,(
% 0.14/5.42 $false|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/5.42 inference(trivial_equality_resolution,[status(thm)],[f285])).
% 0.14/5.42 fof(f287,plain,(
% 0.14/5.42 ~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ24_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f286])).
% 0.14/5.42 fof(f288,plain,(
% 0.14/5.42 ~sk_c5=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ13_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f249,f130])).
% 0.14/5.42 fof(f302,plain,(
% 0.14/5.42 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f45,f156])).
% 0.14/5.42 fof(f304,plain,(
% 0.14/5.42 sk_c7=multiply(sk_c7,sk_c6)|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f64,f302])).
% 0.14/5.42 fof(f322,plain,(
% 0.14/5.42 multiply(sk_c7,sk_c1)=identity|~sQ5_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f64,f23])).
% 0.14/5.42 fof(f328,plain,(
% 0.14/5.42 sk_c6=multiply(inverse(sk_c2),sk_c5)|~sQ6_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f71,f156])).
% 0.14/5.42 fof(f330,plain,(
% 0.14/5.42 sk_c6=multiply(sk_c6,sk_c5)|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f78,f328])).
% 0.14/5.42 fof(f331,plain,(
% 0.14/5.42 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f304,f156])).
% 0.14/5.42 fof(f333,plain,(
% 0.14/5.42 sk_c6=identity|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f23,f331])).
% 0.14/5.42 fof(f334,plain,(
% 0.14/5.42 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ5_spl|~sQ0_spl)),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f333,f23])).
% 0.14/5.42 fof(f339,plain,(
% 0.14/5.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ5_spl|~sQ0_spl)),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f333,f22])).
% 0.14/5.42 fof(f341,plain,(
% 0.14/5.42 sk_c7=sk_c5|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f339,f25])).
% 0.14/5.42 fof(f349,plain,(
% 0.14/5.42 ~inverse(sk_c6)=sk_c5|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f341,f133])).
% 0.14/5.42 fof(f351,plain,(
% 0.14/5.42 inverse(sk_c1)=sk_c5|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f341,f64])).
% 0.14/5.42 fof(f353,plain,(
% 0.14/5.42 inverse(sk_c3)=sk_c5|~sQ5_spl|~sQ0_spl|~sQ1_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f341,f48])).
% 0.14/5.42 fof(f357,plain,(
% 0.14/5.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~sQ5_spl|~sQ0_spl|~sQ11_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f341,f94])).
% 0.14/5.42 fof(f358,plain,(
% 0.14/5.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~sQ5_spl|~sQ0_spl|~sQ11_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f341,f357])).
% 0.14/5.42 fof(f360,plain,(
% 0.14/5.42 ~inverse(sk_c2)=sk_c5|~sk_c5=sk_c5|~sQ5_spl|~sQ0_spl|~sQ11_spl|~sQ6_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f71,f358])).
% 0.14/5.42 fof(f361,plain,(
% 0.14/5.42 ~inverse(sk_c6)=sk_c5|~sk_c6=sk_c5|~sQ11_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f339,f358])).
% 0.14/5.42 fof(f364,definition,(
% 0.14/5.42 sQ26_spl <=> (inverse(sk_c2)=sk_c5)),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f366,plain,(
% 0.14/5.42 ~inverse(sk_c2)=sk_c5|sQ26_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f364])).
% 0.14/5.42 fof(f367,definition,(
% 0.14/5.42 sQ27_spl <=> (sk_c5=sk_c5)),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f369,plain,(
% 0.14/5.42 ~sk_c5=sk_c5|sQ27_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f367])).
% 0.14/5.42 fof(f370,plain,(
% 0.14/5.42 ~sQ26_spl|~sQ27_spl|~sQ5_spl|~sQ0_spl|~sQ11_spl|~sQ6_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f360,f364,f367,f63,f44,f93,f70])).
% 0.14/5.42 fof(f371,definition,(
% 0.14/5.42 sQ28_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f374,plain,(
% 0.14/5.42 ~sQ28_spl|~sQ13_spl|~sQ11_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f361,f371,f128,f93,f63,f44])).
% 0.14/5.42 fof(f375,plain,(
% 0.14/5.42 $false|sQ27_spl),
% 0.14/5.42 inference(trivial_equality_resolution,[status(thm)],[f369])).
% 0.14/5.42 fof(f376,plain,(
% 0.14/5.42 sQ27_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f375])).
% 0.14/5.42 fof(f377,plain,(
% 0.14/5.42 ~sk_c6=sk_c5|~sQ7_spl|sQ26_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f78,f366])).
% 0.14/5.42 fof(f382,plain,(
% 0.14/5.42 ~sk_c5=sk_c6|~sQ5_spl|~sQ0_spl|sQ15_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f341,f139])).
% 0.14/5.42 fof(f383,plain,(
% 0.14/5.42 multiply(sk_c6,sk_c2)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f78,f334])).
% 0.14/5.42 fof(f386,plain,(
% 0.14/5.42 sk_c2=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f339,f383])).
% 0.14/5.42 fof(f390,plain,(
% 0.14/5.42 ![X0]: (multiply(sk_c2,X0)=X0|~sQ7_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f386,f339])).
% 0.14/5.42 fof(f391,plain,(
% 0.14/5.42 sk_c2=identity|~sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f386,f333])).
% 0.14/5.42 fof(f394,plain,(
% 0.14/5.42 inverse(sk_c2)=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f386,f78])).
% 0.14/5.42 fof(f395,plain,(
% 0.14/5.42 ~sk_c5=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|sQ13_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f386,f130])).
% 0.14/5.42 fof(f396,plain,(
% 0.14/5.42 ~inverse(sk_c2)=sk_c5|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f386,f349])).
% 0.14/5.42 fof(f405,plain,(
% 0.14/5.42 ~sk_c2=sk_c5|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f394,f396])).
% 0.14/5.42 fof(f410,plain,(
% 0.14/5.42 multiply(sk_c5,sk_c1)=identity|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f341,f322])).
% 0.14/5.42 fof(f411,plain,(
% 0.14/5.42 multiply(sk_c5,sk_c1)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f391,f410])).
% 0.14/5.42 fof(f415,plain,(
% 0.14/5.42 sk_c2=multiply(sk_c6,sk_c5)|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f386,f330])).
% 0.14/5.42 fof(f416,plain,(
% 0.14/5.42 sk_c2=multiply(sk_c2,sk_c5)|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f386,f415])).
% 0.14/5.42 fof(f417,plain,(
% 0.14/5.42 sk_c2=sk_c5|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f390,f416])).
% 0.14/5.42 fof(f418,plain,(
% 0.14/5.42 $false|sQ13_spl|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f417,f395])).
% 0.14/5.42 fof(f419,plain,(
% 0.14/5.42 sQ13_spl|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f418])).
% 0.14/5.42 fof(f422,plain,(
% 0.14/5.42 ~sQ13_spl|~sQ5_spl|~sQ0_spl|sQ15_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f382,f128,f63,f44,f137])).
% 0.14/5.42 fof(f423,plain,(
% 0.14/5.42 ~sQ13_spl|~sQ7_spl|sQ26_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f377,f128,f77,f364])).
% 0.14/5.42 fof(f426,plain,(
% 0.14/5.42 sk_c5=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f386,f129])).
% 0.14/5.42 fof(f429,plain,(
% 0.14/5.42 sk_c5=sk_c6|~sQ5_spl|~sQ0_spl|~sQ15_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f341,f138])).
% 0.14/5.42 fof(f433,plain,(
% 0.14/5.42 multiply(sk_c2,sk_c1)=sk_c2|~sQ6_spl|~sQ7_spl|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f417,f411])).
% 0.14/5.42 fof(f435,plain,(
% 0.14/5.42 inverse(sk_c1)=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f417,f351])).
% 0.14/5.42 fof(f439,plain,(
% 0.14/5.42 sk_c1=sk_c2|~sQ6_spl|~sQ7_spl|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f390,f433])).
% 0.14/5.42 fof(f449,plain,(
% 0.14/5.42 ~sQ23_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ13_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f288,f257,f55,f59,f47,f51,f128])).
% 0.14/5.42 fof(f450,plain,(
% 0.14/5.42 sQ13_spl|~sQ5_spl|~sQ0_spl|~sQ15_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f429,f128,f63,f44,f137])).
% 0.14/5.42 fof(f455,plain,(
% 0.14/5.42 sk_c2=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f426,f129])).
% 0.14/5.42 fof(f463,plain,(
% 0.14/5.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f455,f334])).
% 0.14/5.42 fof(f468,plain,(
% 0.14/5.42 inverse(sk_c2)=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f439,f435])).
% 0.14/5.42 fof(f536,plain,(
% 0.14/5.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c5)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl|~sQ12_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f455,f97])).
% 0.14/5.42 fof(f537,plain,(
% 0.14/5.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl|~sQ12_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f426,f536])).
% 0.14/5.42 fof(f538,plain,(
% 0.14/5.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ13_spl|~sQ12_spl)),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f455,f537])).
% 0.14/5.42 fof(f539,plain,(
% 0.14/5.42 ~inverse(inverse(sk_c2))=sk_c2|~sQ12_spl|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(resolution,[status(thm)],[f538,f463])).
% 0.14/5.42 fof(f546,plain,(
% 0.14/5.42 ~inverse(sk_c2)=sk_c2|~sQ6_spl|~sQ12_spl|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f468,f539])).
% 0.14/5.42 fof(f547,plain,(
% 0.14/5.42 ~sk_c2=sk_c2|~sQ6_spl|~sQ12_spl|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f468,f546])).
% 0.14/5.42 fof(f548,plain,(
% 0.14/5.42 $false|~sQ6_spl|~sQ12_spl|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(trivial_equality_resolution,[status(thm)],[f547])).
% 0.14/5.42 fof(f549,plain,(
% 0.14/5.42 ~sQ6_spl|~sQ12_spl|~sQ7_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f548])).
% 0.14/5.42 fof(f550,plain,(
% 0.14/5.42 ~sk_c2=sk_c2|~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f426,f405])).
% 0.14/5.42 fof(f551,plain,(
% 0.14/5.42 $false|~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(trivial_equality_resolution,[status(thm)],[f550])).
% 0.14/5.42 fof(f552,plain,(
% 0.14/5.42 ~sQ13_spl|~sQ7_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f551])).
% 0.14/5.42 fof(f569,plain,(
% 0.14/5.42 sk_c3=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl),
% 0.14/5.42 inference(backward_demodulation,[status(thm)],[f570,f129])).
% 0.14/5.42 fof(f570,plain,(
% 0.14/5.42 sk_c5=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f280,f275])).
% 0.14/5.42 fof(f581,plain,(
% 0.14/5.42 ~inverse(sk_c3)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f569,f349])).
% 0.14/5.42 fof(f582,plain,(
% 0.14/5.42 ~inverse(sk_c3)=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl|~sQ5_spl|~sQ0_spl|sQ14_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f570,f581])).
% 0.14/5.42 fof(f589,plain,(
% 0.14/5.42 inverse(sk_c3)=sk_c3|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ1_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f570,f353])).
% 0.14/5.42 fof(f590,plain,(
% 0.14/5.42 $false|~sQ13_spl|sQ14_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ1_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f589,f582])).
% 0.14/5.42 fof(f591,plain,(
% 0.14/5.42 ~sQ13_spl|sQ14_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ0_spl|~sQ1_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f590])).
% 0.14/5.42 fof(f630,plain,(
% 0.14/5.42 ~inverse(sk_c3)=sk_c7|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ9_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f280,f191])).
% 0.14/5.42 fof(f631,plain,(
% 0.14/5.42 ~inverse(sk_c3)=sk_c3|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|~sQ9_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f280,f630])).
% 0.14/5.42 fof(f635,plain,(
% 0.14/5.42 inverse(sk_c3)=sk_c3|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl|~sQ24_spl),
% 0.14/5.42 inference(forward_demodulation,[status(thm)],[f569,f261])).
% 0.14/5.42 fof(f636,plain,(
% 0.14/5.42 $false|~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl|~sQ24_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f635,f631])).
% 0.14/5.42 fof(f637,plain,(
% 0.14/5.42 ~sQ9_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl|~sQ24_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f636])).
% 0.14/5.42 fof(f638,plain,(
% 0.14/5.42 $false),
% 0.14/5.42 inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f104,f107,f113,f119,f134,f203,f256,f263,f283,f287,f370,f374,f376,f419,f422,f423,f449,f450,f549,f552,f591,f637])).
% 0.14/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.45 % Elapsed time: 0.066169 seconds
% 0.14/5.45 % CPU time: 0.208073 seconds
% 0.14/5.45 % Total memory used: 103.891 MB
% 0.14/5.45 % Net memory used: 103.590 MB
%------------------------------------------------------------------------------