TSTP Solution File: GRP288-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP288-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:59 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP288-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:26:40 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f1,axiom,(
% 0.19/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f2,axiom,(
% 0.19/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f3,axiom,(
% 0.19/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f4,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f5,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f6,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f7,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f8,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f9,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f10,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f11,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f12,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f13,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f14,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f15,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f16,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f17,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f18,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f19,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f20,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f21,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f22,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f23,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f24,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f25,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f26,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f27,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f28,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f29,negated_conjecture,(
% 0.19/0.45 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6 ) ))),
% 0.19/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f30,plain,(
% 0.19/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.45 fof(f31,plain,(
% 0.19/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.45 fof(f32,plain,(
% 0.19/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.45 fof(f33,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.45 fof(f34,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.45 fof(f35,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.45 fof(f36,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.45 fof(f37,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.45 fof(f38,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.45 fof(f39,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.45 fof(f40,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.45 fof(f41,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.45 fof(f42,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.45 fof(f43,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.45 fof(f44,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.45 fof(f45,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.45 fof(f46,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.45 fof(f47,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.45 fof(f48,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.45 fof(f49,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.45 fof(f50,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.45 fof(f51,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.45 fof(f52,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.45 fof(f53,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.45 fof(f54,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.45 fof(f55,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.45 fof(f56,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.45 fof(f57,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.45 fof(f58,plain,(
% 0.19/0.45 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6)),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f29])).
% 0.19/0.45 fof(f59,plain,(
% 0.19/0.45 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(X3,sk_c6)=sk_c7|~inverse(X3)=sk_c6)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.45 fof(f60,plain,(
% 0.19/0.45 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f61,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.19/0.45 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.45 fof(f62,plain,(
% 0.19/0.45 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.19/0.45 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.45 fof(f63,plain,(
% 0.19/0.45 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f64,plain,(
% 0.19/0.45 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.19/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.19/0.45 fof(f65,plain,(
% 0.19/0.45 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.19/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.19/0.45 fof(f66,plain,(
% 0.19/0.45 spl0_0|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.19/0.45 fof(f67,plain,(
% 0.19/0.45 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f68,plain,(
% 0.19/0.45 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.19/0.45 inference(component_clause,[status(thm)],[f67])).
% 0.19/0.45 fof(f70,plain,(
% 0.19/0.45 spl0_0|spl0_2),
% 0.19/0.45 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.19/0.45 fof(f71,plain,(
% 0.19/0.45 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f72,plain,(
% 0.19/0.45 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.19/0.45 inference(component_clause,[status(thm)],[f71])).
% 0.19/0.45 fof(f74,plain,(
% 0.19/0.45 spl0_0|spl0_3),
% 0.19/0.45 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.19/0.45 fof(f75,plain,(
% 0.19/0.45 spl0_4 <=> multiply(sk_c4,sk_c6)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f76,plain,(
% 0.19/0.45 multiply(sk_c4,sk_c6)=sk_c7|~spl0_4),
% 0.19/0.45 inference(component_clause,[status(thm)],[f75])).
% 0.19/0.45 fof(f78,plain,(
% 0.19/0.45 spl0_0|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.19/0.45 fof(f79,plain,(
% 0.19/0.45 spl0_5 <=> inverse(sk_c4)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f80,plain,(
% 0.19/0.45 inverse(sk_c4)=sk_c6|~spl0_5),
% 0.19/0.45 inference(component_clause,[status(thm)],[f79])).
% 0.19/0.45 fof(f82,plain,(
% 0.19/0.45 spl0_0|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.19/0.45 fof(f83,plain,(
% 0.19/0.45 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f84,plain,(
% 0.19/0.45 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.19/0.45 inference(component_clause,[status(thm)],[f83])).
% 0.19/0.45 fof(f86,plain,(
% 0.19/0.45 spl0_6|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.19/0.45 fof(f87,plain,(
% 0.19/0.45 spl0_6|spl0_2),
% 0.19/0.45 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.19/0.45 fof(f88,plain,(
% 0.19/0.45 spl0_6|spl0_3),
% 0.19/0.45 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.19/0.45 fof(f89,plain,(
% 0.19/0.45 spl0_6|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.19/0.45 fof(f90,plain,(
% 0.19/0.45 spl0_6|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.19/0.45 fof(f91,plain,(
% 0.19/0.45 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f92,plain,(
% 0.19/0.45 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.19/0.45 inference(component_clause,[status(thm)],[f91])).
% 0.19/0.45 fof(f94,plain,(
% 0.19/0.45 spl0_7|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.19/0.45 fof(f95,plain,(
% 0.19/0.45 spl0_7|spl0_2),
% 0.19/0.45 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.19/0.45 fof(f96,plain,(
% 0.19/0.45 spl0_7|spl0_3),
% 0.19/0.45 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.19/0.45 fof(f97,plain,(
% 0.19/0.45 spl0_7|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.19/0.45 fof(f98,plain,(
% 0.19/0.45 spl0_7|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.19/0.45 fof(f99,plain,(
% 0.19/0.45 spl0_8 <=> multiply(sk_c2,sk_c6)=sk_c5),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f100,plain,(
% 0.19/0.45 multiply(sk_c2,sk_c6)=sk_c5|~spl0_8),
% 0.19/0.45 inference(component_clause,[status(thm)],[f99])).
% 0.19/0.45 fof(f102,plain,(
% 0.19/0.45 spl0_8|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.19/0.45 fof(f103,plain,(
% 0.19/0.45 spl0_8|spl0_2),
% 0.19/0.45 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.19/0.45 fof(f104,plain,(
% 0.19/0.45 spl0_8|spl0_3),
% 0.19/0.45 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.19/0.45 fof(f105,plain,(
% 0.19/0.45 spl0_8|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.19/0.45 fof(f106,plain,(
% 0.19/0.45 spl0_8|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.19/0.45 fof(f107,plain,(
% 0.19/0.45 spl0_9 <=> inverse(sk_c2)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f108,plain,(
% 0.19/0.45 inverse(sk_c2)=sk_c6|~spl0_9),
% 0.19/0.45 inference(component_clause,[status(thm)],[f107])).
% 0.19/0.45 fof(f110,plain,(
% 0.19/0.45 spl0_9|spl0_1),
% 0.19/0.45 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.19/0.45 fof(f111,plain,(
% 0.19/0.45 spl0_9|spl0_2),
% 0.19/0.45 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.19/0.45 fof(f112,plain,(
% 0.19/0.45 spl0_9|spl0_3),
% 0.19/0.45 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.19/0.45 fof(f113,plain,(
% 0.19/0.45 spl0_9|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.19/0.45 fof(f114,plain,(
% 0.19/0.45 spl0_9|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.19/0.45 fof(f115,plain,(
% 0.19/0.45 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f116,plain,(
% 0.19/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f115])).
% 0.19/0.45 fof(f118,plain,(
% 0.19/0.45 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f119,plain,(
% 0.19/0.45 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_11)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f118])).
% 0.19/0.45 fof(f121,plain,(
% 0.19/0.45 spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f122,plain,(
% 0.19/0.45 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f121])).
% 0.19/0.45 fof(f124,plain,(
% 0.19/0.45 spl0_13 <=> ~multiply(X3,sk_c6)=sk_c7|~inverse(X3)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f125,plain,(
% 0.19/0.45 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_13)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f124])).
% 0.19/0.45 fof(f127,plain,(
% 0.19/0.45 ~spl0_0|spl0_10|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.19/0.45 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.19/0.45 fof(f130,plain,(
% 0.19/0.45 ~inverse(sk_c4)=sk_c6|~spl0_13|~spl0_4),
% 0.19/0.45 inference(resolution,[status(thm)],[f125,f76])).
% 0.19/0.45 fof(f131,plain,(
% 0.19/0.45 ~sk_c6=sk_c6|~spl0_5|~spl0_13|~spl0_4),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f80,f130])).
% 0.19/0.45 fof(f132,plain,(
% 0.19/0.45 $false|~spl0_5|~spl0_13|~spl0_4),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f131])).
% 0.19/0.45 fof(f133,plain,(
% 0.19/0.45 ~spl0_5|~spl0_13|~spl0_4),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f132])).
% 0.19/0.45 fof(f134,plain,(
% 0.19/0.45 ~multiply(sk_c3,sk_c6)=sk_c7|~spl0_12|~spl0_2),
% 0.19/0.45 inference(resolution,[status(thm)],[f122,f68])).
% 0.19/0.45 fof(f135,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|~spl0_3|~spl0_12|~spl0_2),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f72,f134])).
% 0.19/0.45 fof(f136,plain,(
% 0.19/0.45 $false|~spl0_3|~spl0_12|~spl0_2),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f135])).
% 0.19/0.45 fof(f137,plain,(
% 0.19/0.45 ~spl0_3|~spl0_12|~spl0_2),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f136])).
% 0.19/0.45 fof(f139,plain,(
% 0.19/0.45 ~inverse(sk_c2)=sk_c6|~spl0_11|~spl0_8),
% 0.19/0.45 inference(resolution,[status(thm)],[f119,f100])).
% 0.19/0.45 fof(f140,plain,(
% 0.19/0.45 ~sk_c6=sk_c6|~spl0_9|~spl0_11|~spl0_8),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f108,f139])).
% 0.19/0.45 fof(f141,plain,(
% 0.19/0.45 $false|~spl0_9|~spl0_11|~spl0_8),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f140])).
% 0.19/0.45 fof(f142,plain,(
% 0.19/0.45 ~spl0_9|~spl0_11|~spl0_8),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f141])).
% 0.19/0.45 fof(f143,plain,(
% 0.19/0.45 ~inverse(sk_c1)=sk_c7|~spl0_10|~spl0_6),
% 0.19/0.45 inference(resolution,[status(thm)],[f116,f84])).
% 0.19/0.45 fof(f144,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|~spl0_7|~spl0_10|~spl0_6),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f92,f143])).
% 0.19/0.45 fof(f145,plain,(
% 0.19/0.45 $false|~spl0_7|~spl0_10|~spl0_6),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f144])).
% 0.19/0.45 fof(f146,plain,(
% 0.19/0.45 ~spl0_7|~spl0_10|~spl0_6),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f145])).
% 0.19/0.45 fof(f155,plain,(
% 0.19/0.45 spl0_16 <=> sk_c6=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f157,plain,(
% 0.19/0.45 ~sk_c6=sk_c6|spl0_16),
% 0.19/0.45 inference(component_clause,[status(thm)],[f155])).
% 0.19/0.45 fof(f160,plain,(
% 0.19/0.45 $false|spl0_16),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f157])).
% 0.19/0.45 fof(f161,plain,(
% 0.19/0.45 spl0_16),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f160])).
% 0.19/0.45 fof(f167,plain,(
% 0.19/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~spl0_4)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f76,f32])).
% 0.19/0.45 fof(f177,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c7)=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_1),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f64,f167])).
% 0.19/0.45 fof(f194,plain,(
% 0.19/0.45 multiply(sk_c6,sk_c4)=identity|~spl0_5),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f80,f31])).
% 0.19/0.45 fof(f195,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.19/0.45 fof(f196,plain,(
% 0.19/0.45 multiply(sk_c6,sk_c2)=identity|~spl0_9),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.19/0.45 fof(f197,plain,(
% 0.19/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.19/0.45 fof(f198,plain,(
% 0.19/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f197])).
% 0.19/0.45 fof(f201,plain,(
% 0.19/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_5)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f194,f32])).
% 0.19/0.45 fof(f202,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_5)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f201])).
% 0.19/0.45 fof(f204,plain,(
% 0.19/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f195,f32])).
% 0.19/0.45 fof(f205,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f204])).
% 0.19/0.45 fof(f208,plain,(
% 0.19/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c2,X0))|~spl0_9)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f196,f32])).
% 0.19/0.45 fof(f209,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c6,multiply(sk_c2,X0))|~spl0_9)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f208])).
% 0.19/0.45 fof(f221,plain,(
% 0.19/0.45 sk_c6=multiply(sk_c6,sk_c7)|~spl0_5|~spl0_4),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f76,f202])).
% 0.19/0.45 fof(f222,plain,(
% 0.19/0.45 sk_c6=sk_c5|~spl0_1|~spl0_5|~spl0_4),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f64,f221])).
% 0.19/0.45 fof(f229,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c7)=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_4|~spl0_1),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f222,f177])).
% 0.19/0.45 fof(f230,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c7)=sk_c7|~spl0_5|~spl0_4|~spl0_1),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f76,f229])).
% 0.19/0.45 fof(f238,plain,(
% 0.19/0.45 ~multiply(sk_c7,sk_c6)=sk_c6|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f222,f62])).
% 0.19/0.45 fof(f251,plain,(
% 0.19/0.45 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f72,f205])).
% 0.19/0.45 fof(f252,plain,(
% 0.19/0.45 sk_c6=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f230,f251])).
% 0.19/0.45 fof(f257,plain,(
% 0.19/0.45 ~multiply(sk_c7,sk_c6)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f252,f238])).
% 0.19/0.45 fof(f258,plain,(
% 0.19/0.45 ~multiply(sk_c7,sk_c7)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f252,f257])).
% 0.19/0.45 fof(f259,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f230,f258])).
% 0.19/0.45 fof(f260,plain,(
% 0.19/0.45 $false|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f259])).
% 0.19/0.45 fof(f261,plain,(
% 0.19/0.45 ~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|spl0_0),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f260])).
% 0.19/0.45 fof(f264,plain,(
% 0.19/0.45 sk_c7=sk_c5|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f252,f222])).
% 0.19/0.45 fof(f271,plain,(
% 0.19/0.45 inverse(sk_c4)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f252,f80])).
% 0.19/0.45 fof(f274,plain,(
% 0.19/0.45 multiply(sk_c4,sk_c7)=sk_c7|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f252,f76])).
% 0.19/0.45 fof(f275,plain,(
% 0.19/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_10)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f252,f116])).
% 0.19/0.45 fof(f288,plain,(
% 0.19/0.45 ~multiply(sk_c4,sk_c7)=sk_c7|~spl0_10|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.19/0.45 inference(resolution,[status(thm)],[f275,f271])).
% 0.19/0.45 fof(f289,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|~spl0_10|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f274,f288])).
% 0.19/0.45 fof(f290,plain,(
% 0.19/0.45 $false|~spl0_10|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f289])).
% 0.19/0.45 fof(f291,plain,(
% 0.19/0.45 ~spl0_10|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f290])).
% 0.19/0.45 fof(f295,plain,(
% 0.19/0.45 spl0_17 <=> sk_c7=sk_c5),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f297,plain,(
% 0.19/0.45 ~sk_c7=sk_c5|spl0_17),
% 0.19/0.45 inference(component_clause,[status(thm)],[f295])).
% 0.19/0.45 fof(f298,plain,(
% 0.19/0.45 ~sk_c7=sk_c5|~inverse(sk_c4)=sk_c6|~spl0_11|~spl0_4),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f76,f119])).
% 0.19/0.45 fof(f299,plain,(
% 0.19/0.45 ~spl0_17|~spl0_5|~spl0_11|~spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f298,f295,f79,f118,f75])).
% 0.19/0.45 fof(f300,plain,(
% 0.19/0.45 spl0_18 <=> sk_c5=sk_c5),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f302,plain,(
% 0.19/0.45 ~sk_c5=sk_c5|spl0_18),
% 0.19/0.45 inference(component_clause,[status(thm)],[f300])).
% 0.19/0.45 fof(f303,plain,(
% 0.19/0.45 spl0_19 <=> inverse(sk_c7)=sk_c6),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f306,plain,(
% 0.19/0.45 ~sk_c5=sk_c5|~inverse(sk_c7)=sk_c6|~spl0_11|~spl0_0),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f61,f119])).
% 0.19/0.45 fof(f307,plain,(
% 0.19/0.45 ~spl0_18|~spl0_19|~spl0_11|~spl0_0),
% 0.19/0.45 inference(split_clause,[status(thm)],[f306,f300,f303,f118,f60])).
% 0.19/0.45 fof(f309,plain,(
% 0.19/0.45 $false|spl0_18),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f302])).
% 0.19/0.45 fof(f310,plain,(
% 0.19/0.45 spl0_18),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f309])).
% 0.19/0.45 fof(f312,plain,(
% 0.19/0.45 spl0_20 <=> sk_c7=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f314,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|spl0_20),
% 0.19/0.45 inference(component_clause,[status(thm)],[f312])).
% 0.19/0.45 fof(f315,plain,(
% 0.19/0.45 spl0_21 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f317,plain,(
% 0.19/0.45 ~multiply(sk_c1,sk_c6)=sk_c7|spl0_21),
% 0.19/0.45 inference(component_clause,[status(thm)],[f315])).
% 0.19/0.45 fof(f318,plain,(
% 0.19/0.45 ~sk_c7=sk_c7|~multiply(sk_c1,sk_c6)=sk_c7|~spl0_12|~spl0_7),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f92,f122])).
% 0.19/0.45 fof(f319,plain,(
% 0.19/0.45 ~spl0_20|~spl0_21|~spl0_12|~spl0_7),
% 0.19/0.45 inference(split_clause,[status(thm)],[f318,f312,f315,f121,f91])).
% 0.19/0.45 fof(f325,plain,(
% 0.19/0.45 spl0_23 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f327,plain,(
% 0.19/0.45 ~multiply(sk_c2,sk_c6)=sk_c7|spl0_23),
% 0.19/0.45 inference(component_clause,[status(thm)],[f325])).
% 0.19/0.45 fof(f330,plain,(
% 0.19/0.45 $false|spl0_20),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f314])).
% 0.19/0.45 fof(f331,plain,(
% 0.19/0.45 spl0_20),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f330])).
% 0.19/0.45 fof(f333,plain,(
% 0.19/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_6)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f84,f32])).
% 0.19/0.45 fof(f338,plain,(
% 0.19/0.45 ~sk_c5=sk_c7|~spl0_8|spl0_23),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f100,f327])).
% 0.19/0.45 fof(f363,plain,(
% 0.19/0.45 sk_c6=multiply(sk_c6,sk_c5)|~spl0_9|~spl0_8),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f100,f209])).
% 0.19/0.45 fof(f367,plain,(
% 0.19/0.45 sk_c5=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f363,f198])).
% 0.19/0.45 fof(f368,plain,(
% 0.19/0.45 sk_c5=identity|~spl0_9|~spl0_8),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f31,f367])).
% 0.19/0.45 fof(f371,plain,(
% 0.19/0.45 ~multiply(sk_c6,sk_c7)=identity|~spl0_9|~spl0_8|spl0_1),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f368,f65])).
% 0.19/0.45 fof(f373,plain,(
% 0.19/0.45 multiply(sk_c7,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f368,f61])).
% 0.19/0.45 fof(f376,plain,(
% 0.19/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f373,f32])).
% 0.19/0.45 fof(f377,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f376])).
% 0.19/0.45 fof(f438,plain,(
% 0.19/0.45 ![X0]: (multiply(sk_c6,multiply(sk_c6,X0))=multiply(sk_c1,X0)|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f377,f333])).
% 0.19/0.45 fof(f449,plain,(
% 0.19/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f438,f377])).
% 0.19/0.45 fof(f456,plain,(
% 0.19/0.45 multiply(sk_c6,sk_c7)=multiply(sk_c7,sk_c6)|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f84,f449])).
% 0.19/0.45 fof(f457,plain,(
% 0.19/0.45 multiply(sk_c6,sk_c7)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f373,f456])).
% 0.19/0.45 fof(f458,plain,(
% 0.19/0.45 $false|spl0_1|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f457,f371])).
% 0.19/0.45 fof(f459,plain,(
% 0.19/0.45 spl0_1|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f458])).
% 0.19/0.45 fof(f475,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f92,f198])).
% 0.19/0.45 fof(f476,plain,(
% 0.19/0.45 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_6|~spl0_9|~spl0_8|~spl0_0|~spl0_7)),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f449,f475])).
% 0.19/0.45 fof(f485,plain,(
% 0.19/0.45 ~sk_c7=identity|~spl0_9|~spl0_8|spl0_17),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f368,f297])).
% 0.19/0.45 fof(f486,plain,(
% 0.19/0.45 sk_c7=identity|~spl0_7|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f476,f457])).
% 0.19/0.45 fof(f487,plain,(
% 0.19/0.45 $false|spl0_17|~spl0_7|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f486,f485])).
% 0.19/0.45 fof(f488,plain,(
% 0.19/0.45 spl0_17|~spl0_7|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f487])).
% 0.19/0.45 fof(f507,plain,(
% 0.19/0.45 inverse(sk_c1)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f486,f92])).
% 0.19/0.45 fof(f510,plain,(
% 0.19/0.45 multiply(identity,sk_c6)=identity|~spl0_7|~spl0_6|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f486,f373])).
% 0.19/0.45 fof(f511,plain,(
% 0.19/0.45 sk_c6=identity|~spl0_7|~spl0_6|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f510])).
% 0.19/0.45 fof(f523,plain,(
% 0.19/0.45 multiply(identity,sk_c1)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f507,f31])).
% 0.19/0.45 fof(f524,plain,(
% 0.19/0.45 sk_c1=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f523])).
% 0.19/0.45 fof(f528,plain,(
% 0.19/0.45 spl0_17|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f264,f295,f67,f71,f63,f79,f75])).
% 0.19/0.45 fof(f531,plain,(
% 0.19/0.45 ~spl0_17|~spl0_8|spl0_23),
% 0.19/0.45 inference(split_clause,[status(thm)],[f338,f295,f99,f325])).
% 0.19/0.45 fof(f540,plain,(
% 0.19/0.45 ~multiply(identity,sk_c6)=sk_c7|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f524,f317])).
% 0.19/0.45 fof(f541,plain,(
% 0.19/0.45 ~sk_c6=sk_c7|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f30,f540])).
% 0.19/0.45 fof(f542,plain,(
% 0.19/0.45 ~identity=sk_c7|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f511,f541])).
% 0.19/0.45 fof(f543,plain,(
% 0.19/0.45 ~identity=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f486,f542])).
% 0.19/0.45 fof(f544,plain,(
% 0.19/0.45 $false|~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(trivial_equality_resolution,[status(esa)],[f543])).
% 0.19/0.45 fof(f545,plain,(
% 0.19/0.45 ~spl0_9|~spl0_8|~spl0_0|~spl0_6|~spl0_7|spl0_21),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f544])).
% 0.19/0.45 fof(f549,plain,(
% 0.19/0.45 ~sk_c5=sk_c7|~inverse(sk_c7)=sk_c6|~spl0_13|~spl0_0),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f61,f125])).
% 0.19/0.45 fof(f550,plain,(
% 0.19/0.45 ~spl0_17|~spl0_19|~spl0_13|~spl0_0),
% 0.19/0.45 inference(split_clause,[status(thm)],[f549,f295,f303,f124,f60])).
% 0.19/0.45 fof(f551,plain,(
% 0.19/0.45 ~sk_c5=sk_c7|~inverse(sk_c2)=sk_c6|~spl0_13|~spl0_8),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f100,f125])).
% 0.19/0.45 fof(f552,plain,(
% 0.19/0.45 ~spl0_17|~spl0_9|~spl0_13|~spl0_8),
% 0.19/0.45 inference(split_clause,[status(thm)],[f551,f295,f107,f124,f99])).
% 0.19/0.45 fof(f556,plain,(
% 0.19/0.45 $false),
% 0.19/0.45 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f133,f137,f142,f146,f161,f261,f291,f299,f307,f310,f319,f331,f459,f488,f528,f531,f545,f550,f552])).
% 0.19/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.109455 seconds
% 0.19/0.46 % CPU time: 0.727698 seconds
% 0.19/0.46 % Total memory used: 75.324 MB
% 0.19/0.46 % Net memory used: 74.509 MB
%------------------------------------------------------------------------------