%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP215-1 : 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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP215-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.42 % Computer : n013.cluster.edu
% 0.15/10.42 % Model : x86_64 x86_64
% 0.15/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.42 % Memory : 8046.5625MB
% 0.15/10.42 % OS : Linux 6.8.0-71-generic
% 0.15/10.42 % CPULimit : 300
% 0.15/10.42 % WCLimit : 300
% 0.15/10.42 % DateTime : Sun Sep 20 20:06:01 UTC 2026
% 0.15/10.42 % CPUTime :
% 0.15/10.43 % Drodi V4.1.1
% 0.15/10.46 % Refutation found
% 0.15/10.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.46 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.46 fof(f1,axiom,(
% 0.15/10.46 (![X]: (multiply(identity,X) = X ))),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f2,axiom,(
% 0.15/10.46 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f3,axiom,(
% 0.15/10.46 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f4,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f5,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f6,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f7,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f8,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f9,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f10,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f11,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f12,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f13,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f14,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f15,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f16,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f17,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f18,negated_conjecture,(
% 0.15/10.46 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f19,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f20,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f21,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f22,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f23,negated_conjecture,(
% 0.15/10.46 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f24,negated_conjecture,(
% 0.15/10.46 (![X3,X4,X1,X2,X5]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(sk_c7,X2) != sk_c6| multiply(X5,sk_c7) != X2| inverse(X5) != sk_c7 ) ))),
% 0.15/10.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.46 fof(f25,plain,(
% 0.15/10.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.46 fof(f26,plain,(
% 0.15/10.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.46 fof(f27,plain,(
% 0.15/10.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/10.46 fof(f28,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/10.46 fof(f29,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.46 fof(f30,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/10.46 fof(f31,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.46 fof(f32,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/10.46 fof(f33,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/10.46 fof(f34,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.46 fof(f35,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/10.46 fof(f36,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/10.46 fof(f37,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/10.46 fof(f38,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/10.46 fof(f39,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/10.46 fof(f40,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/10.46 fof(f41,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/10.46 fof(f42,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/10.46 fof(f43,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/10.46 fof(f44,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/10.46 fof(f45,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/10.46 fof(f46,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/10.46 fof(f47,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/10.46 fof(f48,plain,(
% 0.15/10.46 ![X5]: ((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(sk_c7,X2)=sk_c6)|~multiply(X5,sk_c7)=X2))|~inverse(X5)=sk_c7)),
% 0.15/10.46 inference(miniscoping,[status(thm)],[f24])).
% 0.15/10.46 fof(f49,plain,(
% 0.15/10.46 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7)),
% 0.15/10.46 inference(cnf_transformation,[status(thm)],[f48])).
% 0.15/10.46 fof(f50,definition,(
% 0.15/10.46 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f51,plain,(
% 0.15/10.46 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f50])).
% 0.15/10.46 fof(f53,definition,(
% 0.15/10.46 sQ1_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f54,plain,(
% 0.15/10.46 inverse(sk_c3)=sk_c7|~sQ1_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f53])).
% 0.15/10.46 fof(f56,plain,(
% 0.15/10.46 sQ0_spl|sQ1_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.15/10.46 fof(f57,definition,(
% 0.15/10.46 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f58,plain,(
% 0.15/10.46 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f57])).
% 0.15/10.46 fof(f60,plain,(
% 0.15/10.46 sQ0_spl|sQ2_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.15/10.46 fof(f61,definition,(
% 0.15/10.46 sQ3_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f62,plain,(
% 0.15/10.46 multiply(sk_c7,sk_c5)=sk_c6|~sQ3_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f61])).
% 0.15/10.46 fof(f64,plain,(
% 0.15/10.46 sQ0_spl|sQ3_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.15/10.46 fof(f65,definition,(
% 0.15/10.46 sQ4_spl <=> (multiply(sk_c4,sk_c7)=sk_c5)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f66,plain,(
% 0.15/10.46 multiply(sk_c4,sk_c7)=sk_c5|~sQ4_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f65])).
% 0.15/10.46 fof(f68,plain,(
% 0.15/10.46 sQ0_spl|sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.15/10.46 fof(f69,definition,(
% 0.15/10.46 sQ5_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f70,plain,(
% 0.15/10.46 inverse(sk_c4)=sk_c7|~sQ5_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f69])).
% 0.15/10.46 fof(f72,plain,(
% 0.15/10.46 sQ0_spl|sQ5_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f32,f50,f69])).
% 0.15/10.46 fof(f73,definition,(
% 0.15/10.46 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f74,plain,(
% 0.15/10.46 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f73])).
% 0.15/10.46 fof(f76,plain,(
% 0.15/10.46 sQ6_spl|sQ1_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f33,f73,f53])).
% 0.15/10.46 fof(f77,plain,(
% 0.15/10.46 sQ6_spl|sQ2_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f34,f73,f57])).
% 0.15/10.46 fof(f78,plain,(
% 0.15/10.46 sQ6_spl|sQ3_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f35,f73,f61])).
% 0.15/10.46 fof(f79,plain,(
% 0.15/10.46 sQ6_spl|sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f36,f73,f65])).
% 0.15/10.46 fof(f80,plain,(
% 0.15/10.46 sQ6_spl|sQ5_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f37,f73,f69])).
% 0.15/10.46 fof(f81,definition,(
% 0.15/10.46 sQ7_spl <=> (multiply(sk_c2,sk_c6)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f82,plain,(
% 0.15/10.46 multiply(sk_c2,sk_c6)=sk_c7|~sQ7_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f81])).
% 0.15/10.46 fof(f84,plain,(
% 0.15/10.46 sQ7_spl|sQ1_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f38,f81,f53])).
% 0.15/10.46 fof(f85,plain,(
% 0.15/10.46 sQ7_spl|sQ2_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f39,f81,f57])).
% 0.15/10.46 fof(f86,plain,(
% 0.15/10.46 sQ7_spl|sQ3_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f40,f81,f61])).
% 0.15/10.46 fof(f87,plain,(
% 0.15/10.46 sQ7_spl|sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f41,f81,f65])).
% 0.15/10.46 fof(f88,plain,(
% 0.15/10.46 sQ7_spl|sQ5_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f42,f81,f69])).
% 0.15/10.46 fof(f89,definition,(
% 0.15/10.46 sQ8_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f90,plain,(
% 0.15/10.46 inverse(sk_c2)=sk_c6|~sQ8_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f89])).
% 0.15/10.46 fof(f92,plain,(
% 0.15/10.46 sQ8_spl|sQ1_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f43,f89,f53])).
% 0.15/10.46 fof(f93,plain,(
% 0.15/10.46 sQ8_spl|sQ2_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f44,f89,f57])).
% 0.15/10.46 fof(f94,plain,(
% 0.15/10.46 sQ8_spl|sQ3_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f45,f89,f61])).
% 0.15/10.46 fof(f95,plain,(
% 0.15/10.46 sQ8_spl|sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f46,f89,f65])).
% 0.15/10.46 fof(f96,plain,(
% 0.15/10.46 sQ8_spl|sQ5_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f47,f89,f69])).
% 0.15/10.46 fof(f97,definition,(
% 0.15/10.46 ![X0]: (sQ9_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f98,plain,(
% 0.15/10.46 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ9_spl)),
% 0.15/10.46 inference(component_clause,[status(thm)],[f97])).
% 0.15/10.46 fof(f100,definition,(
% 0.15/10.46 ![X1]: (sQ10_spl <=> (~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6))),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f101,plain,(
% 0.15/10.46 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.15/10.46 inference(component_clause,[status(thm)],[f100])).
% 0.15/10.46 fof(f103,definition,(
% 0.15/10.46 ![X2]: (sQ11_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f104,plain,(
% 0.15/10.46 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ11_spl)),
% 0.15/10.46 inference(component_clause,[status(thm)],[f103])).
% 0.15/10.46 fof(f106,definition,(
% 0.15/10.46 ![X3,X4]: (sQ12_spl <=> (~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7))),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f107,plain,(
% 0.15/10.46 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ12_spl)),
% 0.15/10.46 inference(component_clause,[status(thm)],[f106])).
% 0.15/10.46 fof(f109,plain,(
% 0.15/10.46 sQ9_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f49,f97,f100,f103,f106])).
% 0.15/10.46 fof(f110,plain,(
% 0.15/10.46 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.15/10.46 inference(destructive_equality_resolution,[status(thm)],[f107])).
% 0.15/10.46 fof(f116,plain,(
% 0.15/10.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f82,f27])).
% 0.15/10.46 fof(f142,plain,(
% 0.15/10.46 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c4)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f66,f110])).
% 0.15/10.46 fof(f144,definition,(
% 0.15/10.46 sQ13_spl <=> (multiply(sk_c6,sk_c7)=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f146,plain,(
% 0.15/10.46 ~multiply(sk_c6,sk_c7)=sk_c6|sQ13_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f144])).
% 0.15/10.46 fof(f151,plain,(
% 0.15/10.46 ~sQ3_spl|~sQ5_spl|~sQ12_spl|~sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f142,f61,f69,f106,f65])).
% 0.15/10.46 fof(f156,plain,(
% 0.15/10.46 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ2_spl),
% 0.15/10.46 inference(resolution,[status(thm)],[f104,f58])).
% 0.15/10.46 fof(f157,plain,(
% 0.15/10.46 ~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ7_spl),
% 0.15/10.46 inference(resolution,[status(thm)],[f104,f82])).
% 0.15/10.46 fof(f161,plain,(
% 0.15/10.46 ~sk_c7=sk_c7|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f54,f156])).
% 0.15/10.46 fof(f162,plain,(
% 0.15/10.46 $false|~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.15/10.46 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.15/10.46 fof(f163,plain,(
% 0.15/10.46 ~sQ1_spl|~sQ11_spl|~sQ2_spl),
% 0.15/10.46 inference(contradiction_clause,[status(thm)],[f162])).
% 0.15/10.46 fof(f167,plain,(
% 0.15/10.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.15/10.46 fof(f168,plain,(
% 0.15/10.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f25,f167])).
% 0.15/10.46 fof(f181,plain,(
% 0.15/10.46 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f25,f168])).
% 0.15/10.46 fof(f186,plain,(
% 0.15/10.46 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f51,f168])).
% 0.15/10.46 fof(f187,plain,(
% 0.15/10.46 sk_c6=multiply(inverse(sk_c2),sk_c7)|~sQ7_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f82,f168])).
% 0.15/10.46 fof(f190,plain,(
% 0.15/10.46 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f74,f186])).
% 0.15/10.46 fof(f191,plain,(
% 0.15/10.46 sk_c6=multiply(sk_c6,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f90,f187])).
% 0.15/10.46 fof(f192,plain,(
% 0.15/10.46 $false|sQ13_spl|~sQ8_spl|~sQ7_spl),
% 0.15/10.46 inference(forward_subsumption_resolution,[status(thm)],[f191,f146])).
% 0.15/10.46 fof(f193,plain,(
% 0.15/10.46 sQ13_spl|~sQ8_spl|~sQ7_spl),
% 0.15/10.46 inference(contradiction_clause,[status(thm)],[f192])).
% 0.15/10.46 fof(f195,plain,(
% 0.15/10.46 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~sQ1_spl)),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f54,f168])).
% 0.15/10.46 fof(f205,plain,(
% 0.15/10.46 sk_c7=multiply(inverse(sk_c4),sk_c5)|~sQ4_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f66,f168])).
% 0.15/10.46 fof(f207,plain,(
% 0.15/10.46 sk_c7=multiply(sk_c7,sk_c5)|~sQ5_spl|~sQ4_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f70,f205])).
% 0.15/10.46 fof(f210,plain,(
% 0.15/10.46 ~sk_c5=sk_c6|~inverse(sk_c4)=sk_c7|~sQ9_spl|~sQ4_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f66,f98])).
% 0.15/10.46 fof(f211,plain,(
% 0.15/10.46 ~sk_c7=sk_c6|~inverse(inverse(identity))=sk_c7|~sQ9_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f181,f98])).
% 0.15/10.46 fof(f213,plain,(
% 0.15/10.46 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ9_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f25,f98])).
% 0.15/10.46 fof(f215,definition,(
% 0.15/10.46 sQ16_spl <=> (sk_c5=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f217,plain,(
% 0.15/10.46 ~sk_c5=sk_c6|sQ16_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f215])).
% 0.15/10.46 fof(f218,plain,(
% 0.15/10.46 ~sQ16_spl|~sQ5_spl|~sQ9_spl|~sQ4_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f210,f215,f69,f97,f65])).
% 0.15/10.46 fof(f219,definition,(
% 0.15/10.46 sQ17_spl <=> (sk_c7=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f220,plain,(
% 0.15/10.46 sk_c7=sk_c6|~sQ17_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f219])).
% 0.15/10.46 fof(f221,plain,(
% 0.15/10.46 ~sk_c7=sk_c6|sQ17_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f219])).
% 0.15/10.46 fof(f222,definition,(
% 0.15/10.46 sQ18_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f225,plain,(
% 0.15/10.46 ~sQ17_spl|~sQ18_spl|~sQ9_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f211,f219,f222,f97])).
% 0.15/10.46 fof(f233,definition,(
% 0.15/10.46 sQ21_spl <=> (inverse(identity)=sk_c7)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f236,plain,(
% 0.15/10.46 ~sQ17_spl|~sQ21_spl|~sQ9_spl),
% 0.15/10.46 inference(split_clause,[status(thm)],[f213,f219,f233,f97])).
% 0.15/10.46 fof(f256,plain,(
% 0.15/10.46 sk_c7=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f62,f207])).
% 0.15/10.46 fof(f257,plain,(
% 0.15/10.46 $false|sQ17_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.15/10.46 inference(forward_subsumption_resolution,[status(thm)],[f256,f221])).
% 0.15/10.46 fof(f258,plain,(
% 0.15/10.46 sQ17_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.15/10.46 inference(contradiction_clause,[status(thm)],[f257])).
% 0.15/10.46 fof(f263,plain,(
% 0.15/10.46 multiply(sk_c6,sk_c5)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.15/10.46 inference(backward_demodulation,[status(thm)],[f256,f62])).
% 0.15/10.46 fof(f267,plain,(
% 0.15/10.46 inverse(sk_c3)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.15/10.46 inference(backward_demodulation,[status(thm)],[f256,f54])).
% 0.15/10.46 fof(f269,plain,(
% 0.15/10.46 multiply(sk_c3,sk_c6)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.46 inference(backward_demodulation,[status(thm)],[f256,f58])).
% 0.15/10.46 fof(f280,plain,(
% 0.15/10.46 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f263,f168])).
% 0.15/10.46 fof(f282,plain,(
% 0.15/10.46 sk_c5=identity|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f26,f280])).
% 0.15/10.46 fof(f287,plain,(
% 0.15/10.46 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/10.46 inference(backward_demodulation,[status(thm)],[f282,f26])).
% 0.15/10.46 fof(f291,plain,(
% 0.15/10.46 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl)),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f256,f101])).
% 0.15/10.46 fof(f295,definition,(
% 0.15/10.46 sQ22_spl <=> (sk_c6=sk_c6)),
% 0.15/10.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/10.46 fof(f297,plain,(
% 0.15/10.46 ~sk_c6=sk_c6|sQ22_spl),
% 0.15/10.46 inference(component_clause,[status(thm)],[f295])).
% 0.15/10.46 fof(f302,plain,(
% 0.15/10.46 $false|sQ22_spl),
% 0.15/10.46 inference(trivial_equality_resolution,[status(thm)],[f297])).
% 0.15/10.46 fof(f303,plain,(
% 0.15/10.46 sQ22_spl),
% 0.15/10.46 inference(contradiction_clause,[status(thm)],[f302])).
% 0.15/10.46 fof(f313,plain,(
% 0.15/10.46 ~inverse(sk_c3)=sk_c6|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.15/10.46 inference(resolution,[status(thm)],[f269,f291])).
% 0.15/10.46 fof(f315,plain,(
% 0.15/10.46 sk_c6=multiply(inverse(sk_c3),sk_c6)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f269,f168])).
% 0.15/10.46 fof(f317,plain,(
% 0.15/10.46 ~sk_c6=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f267,f313])).
% 0.15/10.46 fof(f318,plain,(
% 0.15/10.46 $false|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.15/10.46 inference(trivial_equality_resolution,[status(thm)],[f317])).
% 0.15/10.46 fof(f319,plain,(
% 0.15/10.46 ~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ10_spl),
% 0.15/10.46 inference(contradiction_clause,[status(thm)],[f318])).
% 0.15/10.46 fof(f320,plain,(
% 0.15/10.46 sk_c6=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.46 inference(forward_demodulation,[status(thm)],[f267,f315])).
% 0.15/10.46 fof(f353,plain,(
% 0.15/10.46 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.46 inference(paramodulation,[status(thm)],[f320,f168])).
% 0.15/10.47 fof(f355,plain,(
% 0.15/10.47 sk_c6=sk_c5|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f287,f353])).
% 0.15/10.47 fof(f356,plain,(
% 0.15/10.47 $false|sQ16_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.47 inference(forward_subsumption_resolution,[status(thm)],[f355,f217])).
% 0.15/10.47 fof(f357,plain,(
% 0.15/10.47 sQ16_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl),
% 0.15/10.47 inference(contradiction_clause,[status(thm)],[f356])).
% 0.15/10.47 fof(f364,plain,(
% 0.15/10.47 ~inverse(sk_c2)=sk_c6|~sQ10_spl|~sQ7_spl),
% 0.15/10.47 inference(resolution,[status(thm)],[f101,f82])).
% 0.15/10.47 fof(f367,plain,(
% 0.15/10.47 ~sk_c6=sk_c6|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f90,f364])).
% 0.15/10.47 fof(f368,plain,(
% 0.15/10.47 $false|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.15/10.47 inference(trivial_equality_resolution,[status(thm)],[f367])).
% 0.15/10.47 fof(f369,plain,(
% 0.15/10.47 ~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.15/10.47 inference(contradiction_clause,[status(thm)],[f368])).
% 0.15/10.47 fof(f414,plain,(
% 0.15/10.47 ~inverse(sk_c1)=sk_c7|~sQ9_spl|~sQ0_spl),
% 0.15/10.47 inference(resolution,[status(thm)],[f98,f51])).
% 0.15/10.47 fof(f422,plain,(
% 0.15/10.47 ~sk_c7=sk_c7|~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f74,f414])).
% 0.15/10.47 fof(f423,plain,(
% 0.15/10.47 $false|~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.15/10.47 inference(trivial_equality_resolution,[status(thm)],[f422])).
% 0.15/10.47 fof(f424,plain,(
% 0.15/10.47 ~sQ6_spl|~sQ9_spl|~sQ0_spl),
% 0.15/10.47 inference(contradiction_clause,[status(thm)],[f423])).
% 0.15/10.47 fof(f425,plain,(
% 0.15/10.47 ~sk_c7=sk_c6|~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ1_spl),
% 0.15/10.47 inference(paramodulation,[status(thm)],[f195,f110])).
% 0.15/10.47 fof(f432,plain,(
% 0.15/10.47 ~sQ17_spl|~sQ1_spl|~sQ12_spl),
% 0.15/10.47 inference(split_clause,[status(thm)],[f425,f219,f53,f106])).
% 0.15/10.47 fof(f451,plain,(
% 0.15/10.47 multiply(sk_c7,sk_c7)=multiply(sk_c2,sk_c6)|~sQ8_spl|~sQ7_spl),
% 0.15/10.47 inference(paramodulation,[status(thm)],[f191,f116])).
% 0.15/10.47 fof(f455,plain,(
% 0.15/10.47 multiply(sk_c7,sk_c7)=sk_c7|~sQ8_spl|~sQ7_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f82,f451])).
% 0.15/10.47 fof(f461,plain,(
% 0.15/10.47 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.15/10.47 inference(paramodulation,[status(thm)],[f455,f168])).
% 0.15/10.47 fof(f467,plain,(
% 0.15/10.47 sk_c7=identity|~sQ8_spl|~sQ7_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f26,f461])).
% 0.15/10.47 fof(f473,plain,(
% 0.15/10.47 ![X0]: (multiply(sk_c7,X0)=X0|~sQ8_spl|~sQ7_spl)),
% 0.15/10.47 inference(backward_demodulation,[status(thm)],[f467,f25])).
% 0.15/10.47 fof(f481,plain,(
% 0.15/10.47 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.15/10.47 inference(backward_demodulation,[status(thm)],[f473,f110])).
% 0.15/10.47 fof(f483,plain,(
% 0.15/10.47 sk_c7=sk_c6|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.15/10.47 inference(backward_demodulation,[status(thm)],[f473,f190])).
% 0.15/10.47 fof(f487,plain,(
% 0.15/10.47 sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl),
% 0.15/10.47 inference(split_clause,[status(thm)],[f481,f97,f89,f81,f106])).
% 0.15/10.47 fof(f488,plain,(
% 0.15/10.47 sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.15/10.47 inference(split_clause,[status(thm)],[f483,f219,f89,f81,f73,f50])).
% 0.15/10.47 fof(f489,plain,(
% 0.15/10.47 ~sk_c6=sk_c7|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f90,f157])).
% 0.15/10.47 fof(f504,plain,(
% 0.15/10.47 ~sk_c6=sk_c6|~sQ17_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.15/10.47 inference(forward_demodulation,[status(thm)],[f220,f489])).
% 0.15/10.47 fof(f505,plain,(
% 0.15/10.47 $false|~sQ17_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.15/10.47 inference(trivial_equality_resolution,[status(thm)],[f504])).
% 0.15/10.47 fof(f506,plain,(
% 0.15/10.47 ~sQ17_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.15/10.47 inference(contradiction_clause,[status(thm)],[f505])).
% 0.15/10.47 fof(f507,plain,(
% 0.15/10.47 $false),
% 0.15/10.47 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f76,f77,f78,f79,f80,f84,f85,f86,f87,f88,f92,f93,f94,f95,f96,f109,f151,f163,f193,f218,f225,f236,f258,f303,f319,f357,f369,f424,f432,f487,f488,f506])).
% 0.15/10.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/10.51 % Elapsed time: 0.070001 seconds
% 0.18/10.51 % CPU time: 0.215482 seconds
% 0.18/10.51 % Total memory used: 102.774 MB
% 0.18/10.51 % Net memory used: 102.513 MB
%------------------------------------------------------------------------------