%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP229-1 : 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 : n026.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP229-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 20:10:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f33,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f34,negated_conjecture,(
% 0.14/0.40 (![X4,X5,X6,X1,X2,X3]: (( inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f36,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f37,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f40,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 ![X3]: ((![X2]: (((![X1]: ((((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c8|~multiply(X4,sk_c7)=sk_c8))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f34])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4,X5]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.40 fof(f70,definition,(
% 0.14/0.40 sQ0_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c8|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.40 fof(f73,definition,(
% 0.14/0.40 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c7|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.40 fof(f77,definition,(
% 0.14/0.40 sQ2_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c8|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.40 fof(f81,definition,(
% 0.14/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ4_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f89,definition,(
% 0.14/0.40 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.40 fof(f93,definition,(
% 0.14/0.40 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.40 fof(f101,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.40 fof(f106,definition,(
% 0.14/0.40 sQ8_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f107,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.40 fof(f109,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.40 fof(f111,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 sQ8_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.40 fof(f115,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 sQ9_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.40 fof(f124,definition,(
% 0.14/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.40 fof(f127,plain,(
% 0.14/0.40 sQ10_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 sQ10_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 sQ10_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 sQ10_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 sQ10_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.40 fof(f133,definition,(
% 0.14/0.40 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.40 fof(f136,definition,(
% 0.14/0.40 ![X1,X2]: (sQ12_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f137,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.40 fof(f139,plain,(
% 0.14/0.40 sQ11_spl|sQ12_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f69,f133,f136,f73])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c1)=identity|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c2)=identity|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.40 fof(f155,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f154])).
% 0.14/0.40 fof(f157,plain,(
% 0.14/0.40 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f140])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ12_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.14/0.40 fof(f161,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f140])).
% 0.14/0.40 fof(f162,definition,(
% 0.14/0.40 sQ13_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f165,definition,(
% 0.14/0.40 sQ14_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f168,plain,(
% 0.14/0.40 ~sQ13_spl|~sQ14_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f157,f162,f165,f136])).
% 0.14/0.40 fof(f169,definition,(
% 0.14/0.40 sQ15_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f172,definition,(
% 0.14/0.40 sQ16_spl <=> (inverse(identity)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f174,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f172])).
% 0.14/0.40 fof(f175,plain,(
% 0.14/0.40 ~sQ15_spl|~sQ16_spl|~sQ12_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f158,f169,f172,f136])).
% 0.14/0.40 fof(f176,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f159,f85,f93,f136,f89])).
% 0.14/0.40 fof(f177,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f161,f106,f124,f136,f115])).
% 0.14/0.40 fof(f178,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f134,f82])).
% 0.14/0.40 fof(f181,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~sQ11_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f35,f134])).
% 0.14/0.40 fof(f183,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f78,f178])).
% 0.14/0.40 fof(f184,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.14/0.40 fof(f185,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f184])).
% 0.14/0.40 fof(f187,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ7_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f37])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f153,f37])).
% 0.14/0.40 fof(f192,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~sQ10_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f191])).
% 0.14/0.40 fof(f200,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~sQ0_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f152,f37])).
% 0.14/0.40 fof(f201,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~sQ0_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f200])).
% 0.14/0.40 fof(f213,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f116,f192])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 sk_c8=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f213,f107])).
% 0.14/0.40 fof(f226,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f217,f75])).
% 0.14/0.40 fof(f230,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c8,X0))|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f217,f187])).
% 0.14/0.40 fof(f231,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c8,multiply(sk_c2,X0))=multiply(sk_c1,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f192,f230])).
% 0.14/0.40 fof(f238,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f192,f231])).
% 0.14/0.40 fof(f304,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c8,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f238,f201])).
% 0.14/0.40 fof(f311,plain,(
% 0.14/0.40 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f304,f152])).
% 0.14/0.40 fof(f320,plain,(
% 0.14/0.40 inverse(identity)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f311,f71])).
% 0.14/0.40 fof(f321,plain,(
% 0.14/0.40 $false|sQ16_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f320,f174])).
% 0.14/0.40 fof(f322,plain,(
% 0.14/0.40 sQ16_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f321])).
% 0.14/0.40 fof(f332,definition,(
% 0.14/0.40 sQ19_spl <=> (sk_c7=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f334,plain,(
% 0.14/0.40 ~sk_c7=sk_c8|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f332])).
% 0.14/0.40 fof(f335,plain,(
% 0.14/0.40 ~sQ16_spl|~sQ19_spl|~sQ11_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f181,f172,f332,f133])).
% 0.14/0.40 fof(f337,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f217,f334])).
% 0.14/0.40 fof(f338,plain,(
% 0.14/0.40 $false|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.14/0.40 fof(f339,plain,(
% 0.14/0.40 ~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ19_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f338])).
% 0.14/0.40 fof(f394,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f304,f155])).
% 0.14/0.40 fof(f404,plain,(
% 0.14/0.40 sk_c8=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f36,f394])).
% 0.14/0.40 fof(f410,plain,(
% 0.14/0.40 ~inverse(sk_c8)=identity|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f404,f226])).
% 0.14/0.40 fof(f411,plain,(
% 0.14/0.40 inverse(identity)=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f404,f320])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 ~inverse(identity)=identity|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f404,f410])).
% 0.14/0.40 fof(f416,plain,(
% 0.14/0.40 $false|sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f411,f415])).
% 0.14/0.40 fof(f417,plain,(
% 0.14/0.40 sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f416])).
% 0.14/0.40 fof(f418,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f100,f101,f102,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f139,f168,f175,f176,f177,f185,f322,f335,f339,f417])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.057392 seconds
% 0.14/0.43 % CPU time: 0.161777 seconds
% 0.14/0.43 % Total memory used: 102.788 MB
% 0.14/0.43 % Net memory used: 102.599 MB
%------------------------------------------------------------------------------