%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP253-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP253-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:07:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c5) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 ( multiply(sk_c3,sk_c5) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f22,negated_conjecture,(
% 0.14/0.39 (![X2,X3,X4,X1]: (( multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(X3,sk_c6) != sk_c5| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c5) != sk_c6 ) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f23,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(f24,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(f25,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(f26,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f29,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f37,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f40,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f41,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c5)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 multiply(sk_c3,sk_c5)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 (![X1]: (((![X4]: (((![X3]: (((![X2]: (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))|~multiply(X3,sk_c6)=sk_c5)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c5)=sk_c6),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6|~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7|~inverse(sk_c5)=sk_c6)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.39 fof(f46,definition,(
% 0.14/0.39 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f46])).
% 0.14/0.39 fof(f49,definition,(
% 0.14/0.39 sQ1_spl <=> (multiply(sk_c4,sk_c7)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f50,plain,(
% 0.14/0.39 multiply(sk_c4,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f26,f46,f49])).
% 0.14/0.39 fof(f53,definition,(
% 0.14/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 inverse(sk_c4)=sk_c7|~sQ2_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f27,f46,f53])).
% 0.14/0.39 fof(f57,definition,(
% 0.14/0.39 sQ3_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 inverse(sk_c5)=sk_c6|~sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.14/0.39 fof(f59,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c6|sQ3_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.14/0.39 fof(f60,plain,(
% 0.14/0.39 sQ0_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f28,f46,f57])).
% 0.14/0.39 fof(f61,definition,(
% 0.14/0.39 sQ4_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 inverse(sk_c1)=sk_c7|~sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f61])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 sQ4_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f29,f61,f49])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 sQ4_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f30,f61,f53])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 sQ4_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f31,f61,f57])).
% 0.14/0.39 fof(f67,definition,(
% 0.14/0.39 sQ5_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 multiply(sk_c2,sk_c6)=sk_c5|~sQ5_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.39 fof(f70,plain,(
% 0.14/0.39 sQ5_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f32,f67,f49])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 sQ5_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f33,f67,f53])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 sQ5_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f34,f67,f57])).
% 0.14/0.39 fof(f73,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(f74,plain,(
% 0.14/0.39 inverse(sk_c2)=sk_c6|~sQ6_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.39 fof(f76,plain,(
% 0.14/0.39 sQ6_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f35,f73,f49])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 sQ6_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f36,f73,f53])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 sQ6_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f37,f73,f57])).
% 0.14/0.39 fof(f79,definition,(
% 0.14/0.39 sQ7_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f80,plain,(
% 0.14/0.39 inverse(sk_c3)=sk_c6|~sQ7_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 sQ7_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f38,f79,f49])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 sQ7_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f39,f79,f53])).
% 0.14/0.39 fof(f84,plain,(
% 0.14/0.39 sQ7_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f40,f79,f57])).
% 0.14/0.39 fof(f85,definition,(
% 0.14/0.39 sQ8_spl <=> (multiply(sk_c3,sk_c5)=sk_c6)),
% 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_c3,sk_c5)=sk_c6|~sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.39 fof(f88,plain,(
% 0.14/0.39 sQ8_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f41,f85,f49])).
% 0.14/0.39 fof(f89,plain,(
% 0.14/0.39 sQ8_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f42,f85,f53])).
% 0.14/0.39 fof(f90,plain,(
% 0.14/0.39 sQ8_spl|sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f43,f85,f57])).
% 0.14/0.39 fof(f91,definition,(
% 0.14/0.39 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f92,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ9_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.39 fof(f94,definition,(
% 0.14/0.39 ![X1]: (sQ10_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f95,plain,(
% 0.14/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.39 fof(f97,definition,(
% 0.14/0.39 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f98,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ11_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 sQ9_spl|sQ10_spl|sQ11_spl|~sQ3_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f45,f91,f94,f97,f57])).
% 0.14/0.39 fof(f101,plain,(
% 0.14/0.39 ~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f98,f86])).
% 0.14/0.39 fof(f103,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f80,f101])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 $false|~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f103])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 ~sQ7_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f104])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ5_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f95,f68])).
% 0.14/0.39 fof(f108,plain,(
% 0.14/0.39 ~sk_c6=sk_c6|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f74,f106])).
% 0.14/0.39 fof(f109,plain,(
% 0.14/0.39 $false|~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f108])).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 ~sQ6_spl|~sQ10_spl|~sQ5_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f109])).
% 0.14/0.39 fof(f111,plain,(
% 0.14/0.39 ~inverse(sk_c1)=sk_c7|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f92,f47])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 ~inverse(sk_c4)=sk_c7|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f92,f50])).
% 0.14/0.39 fof(f115,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ4_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f62,f111])).
% 0.14/0.39 fof(f116,plain,(
% 0.14/0.39 $false|~sQ4_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f115])).
% 0.14/0.39 fof(f117,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ9_spl|~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f116])).
% 0.14/0.39 fof(f118,plain,(
% 0.14/0.39 ~sk_c7=sk_c7|~sQ2_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f54,f112])).
% 0.14/0.39 fof(f119,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f118])).
% 0.14/0.39 fof(f120,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ9_spl|~sQ1_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f119])).
% 0.14/0.39 fof(f121,definition,(
% 0.14/0.39 sQ12_spl <=> (sk_c5=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f123,plain,(
% 0.14/0.39 ~sk_c5=sk_c5|sQ12_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.39 fof(f125,plain,(
% 0.14/0.39 $false|sQ12_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f123])).
% 0.14/0.39 fof(f126,plain,(
% 0.14/0.39 sQ12_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f125])).
% 0.14/0.39 fof(f129,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f50,f25])).
% 0.14/0.39 fof(f137,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f24,f25])).
% 0.14/0.39 fof(f138,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f23,f137])).
% 0.14/0.39 fof(f157,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f23,f138])).
% 0.14/0.39 fof(f159,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f47,f138])).
% 0.14/0.39 fof(f160,plain,(
% 0.14/0.39 sk_c7=multiply(inverse(sk_c4),sk_c6)|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f50,f138])).
% 0.14/0.39 fof(f162,plain,(
% 0.14/0.39 sk_c7=multiply(sk_c7,sk_c6)|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f62,f159])).
% 0.14/0.39 fof(f163,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)],[f54,f160])).
% 0.14/0.39 fof(f171,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f162,f138])).
% 0.14/0.39 fof(f173,plain,(
% 0.14/0.39 sk_c6=identity|~sQ4_spl|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f24,f171])).
% 0.14/0.39 fof(f212,definition,(
% 0.14/0.39 sQ13_spl <=> (inverse(inverse(sk_c5))=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f214,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c5))=sk_c5|sQ13_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.39 fof(f220,plain,(
% 0.14/0.39 ~inverse(sk_c6)=sk_c5|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f58,f214])).
% 0.14/0.39 fof(f234,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f138,f157])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 ~sk_c6=sk_c5|~inverse(inverse(identity))=sk_c6|~sQ10_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f157,f95])).
% 0.14/0.39 fof(f239,definition,(
% 0.14/0.39 sQ16_spl <=> (sk_c6=sk_c5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 ~sk_c6=sk_c5|sQ16_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f239])).
% 0.14/0.39 fof(f242,definition,(
% 0.14/0.39 sQ17_spl <=> (inverse(inverse(identity))=sk_c6)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f244,plain,(
% 0.14/0.39 ~inverse(inverse(identity))=sk_c6|sQ17_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f242])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 ~sQ16_spl|~sQ17_spl|~sQ10_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f236,f239,f242,f94])).
% 0.14/0.39 fof(f260,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c6)=multiply(sk_c4,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f163,f129])).
% 0.14/0.39 fof(f263,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f50,f260])).
% 0.14/0.39 fof(f287,plain,(
% 0.14/0.39 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f263,f138])).
% 0.14/0.39 fof(f293,plain,(
% 0.14/0.39 sk_c6=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f24,f287])).
% 0.14/0.39 fof(f294,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c6))=sk_c6|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f293,f244])).
% 0.14/0.39 fof(f296,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)],[f293,f24])).
% 0.14/0.39 fof(f301,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f293,f234])).
% 0.14/0.39 fof(f309,plain,(
% 0.14/0.39 multiply(sk_c6,sk_c5)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f58,f296])).
% 0.14/0.39 fof(f315,plain,(
% 0.14/0.39 sk_c5=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f301,f309])).
% 0.14/0.39 fof(f316,plain,(
% 0.14/0.39 $false|sQ16_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f315,f241])).
% 0.14/0.39 fof(f317,plain,(
% 0.14/0.39 sQ16_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f316])).
% 0.14/0.39 fof(f319,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f315,f296])).
% 0.14/0.39 fof(f324,plain,(
% 0.14/0.39 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f315,f58])).
% 0.14/0.39 fof(f326,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f315,f98])).
% 0.14/0.39 fof(f327,plain,(
% 0.14/0.39 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ11_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f315,f326])).
% 0.14/0.39 fof(f331,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c5))=sk_c5|~sk_c5=sk_c5|~sQ11_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f319,f327])).
% 0.14/0.39 fof(f334,plain,(
% 0.14/0.39 ~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f331,f212,f121,f97,f57,f53,f49])).
% 0.14/0.39 fof(f336,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f315,f220])).
% 0.14/0.39 fof(f351,plain,(
% 0.14/0.39 ~sk_c5=sk_c5|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f324,f336])).
% 0.14/0.39 fof(f352,plain,(
% 0.14/0.39 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f351])).
% 0.14/0.39 fof(f353,plain,(
% 0.14/0.39 ~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ13_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f352])).
% 0.14/0.39 fof(f354,plain,(
% 0.14/0.39 ~inverse(inverse(sk_c5))=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f315,f294])).
% 0.14/0.39 fof(f355,plain,(
% 0.14/0.39 ~inverse(sk_c5)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f324,f354])).
% 0.14/0.39 fof(f356,plain,(
% 0.14/0.39 ~sk_c5=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f324,f355])).
% 0.14/0.39 fof(f357,plain,(
% 0.14/0.39 ~sk_c5=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f315,f356])).
% 0.14/0.39 fof(f358,plain,(
% 0.14/0.39 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f357])).
% 0.14/0.39 fof(f359,plain,(
% 0.14/0.39 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f358])).
% 0.14/0.39 fof(f362,plain,(
% 0.14/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ0_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f173,f234])).
% 0.14/0.40 fof(f365,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c3,X0))|~sQ7_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f80,f138])).
% 0.14/0.40 fof(f366,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ4_spl|~sQ0_spl|~sQ7_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f362,f365])).
% 0.14/0.40 fof(f380,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f386,f59])).
% 0.14/0.40 fof(f382,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f386,f80])).
% 0.14/0.40 fof(f383,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ7_spl|~sQ8_spl|~sQ4_spl|~sQ0_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f386,f362])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 sk_c5=identity|~sQ7_spl|~sQ8_spl|~sQ4_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f386,f173])).
% 0.14/0.40 fof(f386,plain,(
% 0.14/0.40 sk_c5=sk_c6|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f366,f86])).
% 0.14/0.40 fof(f393,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ7_spl|~sQ8_spl|~sQ4_spl|~sQ0_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f384,f24])).
% 0.14/0.40 fof(f394,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f382,f393])).
% 0.14/0.40 fof(f399,plain,(
% 0.14/0.40 sk_c3=sk_c5|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f383,f394])).
% 0.14/0.40 fof(f404,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f399,f382])).
% 0.14/0.40 fof(f406,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c3|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f399,f380])).
% 0.14/0.40 fof(f409,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f399,f406])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 ~sk_c3=sk_c3|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f404,f409])).
% 0.14/0.40 fof(f416,plain,(
% 0.14/0.40 $false|~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f415])).
% 0.14/0.40 fof(f417,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ3_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)],[f52,f56,f60,f64,f65,f66,f70,f71,f72,f76,f77,f78,f82,f83,f84,f88,f89,f90,f100,f105,f110,f117,f120,f126,f245,f317,f334,f353,f359,f417])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.064926 seconds
% 0.14/0.43 % CPU time: 0.127437 seconds
% 0.14/0.43 % Total memory used: 16.556 MB
% 0.14/0.43 % Net memory used: 16.501 MB
%------------------------------------------------------------------------------