TSTP Solution File: GRP262-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP262-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:19:54 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP262-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:08:41 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f2,axiom,(
% 0.19/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f3,axiom,(
% 0.19/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f6,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f7,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f8,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f9,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f10,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f11,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f12,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f13,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f14,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f15,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f16,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f17,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f18,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f19,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f20,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f21,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f22,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f23,negated_conjecture,(
% 0.19/0.48 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f24,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f25,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f26,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f27,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f28,negated_conjecture,(
% 0.19/0.48 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f29,negated_conjecture,(
% 0.19/0.48 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f30,plain,(
% 0.19/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.48 fof(f31,plain,(
% 0.19/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.48 fof(f32,plain,(
% 0.19/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.48 fof(f33,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.48 fof(f34,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.48 fof(f35,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.48 fof(f36,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.48 fof(f37,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.48 fof(f38,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.48 fof(f39,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.48 fof(f40,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.48 fof(f41,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.48 fof(f42,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.48 fof(f43,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.48 fof(f44,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.48 fof(f45,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.48 fof(f46,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.48 fof(f47,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.48 fof(f48,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.48 fof(f49,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.48 fof(f50,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.48 fof(f51,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.48 fof(f52,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.48 fof(f53,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.48 fof(f54,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.48 fof(f55,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.48 fof(f56,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.48 fof(f57,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.48 fof(f58,plain,(
% 0.19/0.48 ![X2]: (((![X1]: (((((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c5,sk_c7)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f29])).
% 0.19/0.48 fof(f59,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.48 fof(f60,plain,(
% 0.19/0.48 spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f61,plain,(
% 0.19/0.48 multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 0.19/0.48 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.48 fof(f63,plain,(
% 0.19/0.48 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f64,plain,(
% 0.19/0.48 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.19/0.48 inference(component_clause,[status(thm)],[f63])).
% 0.19/0.48 fof(f65,plain,(
% 0.19/0.48 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.19/0.48 inference(component_clause,[status(thm)],[f63])).
% 0.19/0.48 fof(f66,plain,(
% 0.19/0.48 spl0_0|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.19/0.48 fof(f67,plain,(
% 0.19/0.48 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f68,plain,(
% 0.19/0.48 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.19/0.48 inference(component_clause,[status(thm)],[f67])).
% 0.19/0.48 fof(f70,plain,(
% 0.19/0.48 spl0_0|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.19/0.48 fof(f71,plain,(
% 0.19/0.48 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f72,plain,(
% 0.19/0.48 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.19/0.48 inference(component_clause,[status(thm)],[f71])).
% 0.19/0.48 fof(f74,plain,(
% 0.19/0.48 spl0_0|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.19/0.48 fof(f75,plain,(
% 0.19/0.48 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f76,plain,(
% 0.19/0.48 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.19/0.48 inference(component_clause,[status(thm)],[f75])).
% 0.19/0.48 fof(f78,plain,(
% 0.19/0.48 spl0_0|spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.19/0.48 fof(f79,plain,(
% 0.19/0.48 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f80,plain,(
% 0.19/0.48 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.19/0.48 inference(component_clause,[status(thm)],[f79])).
% 0.19/0.48 fof(f82,plain,(
% 0.19/0.48 spl0_0|spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.19/0.48 fof(f83,plain,(
% 0.19/0.48 spl0_6 <=> inverse(sk_c1)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f84,plain,(
% 0.19/0.48 inverse(sk_c1)=sk_c7|~spl0_6),
% 0.19/0.48 inference(component_clause,[status(thm)],[f83])).
% 0.19/0.48 fof(f86,plain,(
% 0.19/0.48 spl0_6|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.19/0.48 fof(f87,plain,(
% 0.19/0.48 spl0_6|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.19/0.48 fof(f88,plain,(
% 0.19/0.48 spl0_6|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.19/0.48 fof(f89,plain,(
% 0.19/0.48 spl0_6|spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.19/0.48 fof(f90,plain,(
% 0.19/0.48 spl0_6|spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.19/0.48 fof(f91,plain,(
% 0.19/0.48 spl0_7 <=> multiply(sk_c2,sk_c6)=sk_c5),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f92,plain,(
% 0.19/0.48 multiply(sk_c2,sk_c6)=sk_c5|~spl0_7),
% 0.19/0.48 inference(component_clause,[status(thm)],[f91])).
% 0.19/0.48 fof(f94,plain,(
% 0.19/0.48 spl0_7|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.19/0.48 fof(f95,plain,(
% 0.19/0.48 spl0_7|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.19/0.48 fof(f96,plain,(
% 0.19/0.48 spl0_7|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.19/0.48 fof(f97,plain,(
% 0.19/0.48 spl0_7|spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.19/0.48 fof(f98,plain,(
% 0.19/0.48 spl0_7|spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.19/0.48 fof(f99,plain,(
% 0.19/0.48 spl0_8 <=> inverse(sk_c2)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f100,plain,(
% 0.19/0.48 inverse(sk_c2)=sk_c6|~spl0_8),
% 0.19/0.48 inference(component_clause,[status(thm)],[f99])).
% 0.19/0.48 fof(f102,plain,(
% 0.19/0.48 spl0_8|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.19/0.48 fof(f103,plain,(
% 0.19/0.48 spl0_8|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.19/0.48 fof(f104,plain,(
% 0.19/0.48 spl0_8|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.19/0.48 fof(f105,plain,(
% 0.19/0.48 spl0_8|spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.19/0.48 fof(f106,plain,(
% 0.19/0.48 spl0_8|spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.19/0.48 fof(f107,plain,(
% 0.19/0.48 spl0_9 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f108,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c6|~spl0_9),
% 0.19/0.48 inference(component_clause,[status(thm)],[f107])).
% 0.19/0.48 fof(f109,plain,(
% 0.19/0.48 ~multiply(sk_c5,sk_c7)=sk_c6|spl0_9),
% 0.19/0.48 inference(component_clause,[status(thm)],[f107])).
% 0.19/0.48 fof(f110,plain,(
% 0.19/0.48 spl0_9|spl0_1),
% 0.19/0.48 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.19/0.48 fof(f111,plain,(
% 0.19/0.48 spl0_9|spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.19/0.48 fof(f112,plain,(
% 0.19/0.48 spl0_9|spl0_3),
% 0.19/0.48 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.19/0.48 fof(f113,plain,(
% 0.19/0.48 spl0_9|spl0_4),
% 0.19/0.48 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.19/0.48 fof(f114,plain,(
% 0.19/0.48 spl0_9|spl0_5),
% 0.19/0.48 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.19/0.48 fof(f115,plain,(
% 0.19/0.48 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f116,plain,(
% 0.19/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f115])).
% 0.19/0.48 fof(f118,plain,(
% 0.19/0.48 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f119,plain,(
% 0.19/0.48 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_11)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f118])).
% 0.19/0.48 fof(f121,plain,(
% 0.19/0.48 spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f122,plain,(
% 0.19/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f121])).
% 0.19/0.48 fof(f124,plain,(
% 0.19/0.48 spl0_13 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f125,plain,(
% 0.19/0.48 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.19/0.48 inference(component_clause,[status(thm)],[f124])).
% 0.19/0.48 fof(f127,plain,(
% 0.19/0.48 spl0_10|spl0_11|~spl0_9|~spl0_1|spl0_12|spl0_13),
% 0.19/0.48 inference(split_clause,[status(thm)],[f59,f115,f118,f107,f63,f121,f124])).
% 0.19/0.48 fof(f128,plain,(
% 0.19/0.48 ~inverse(sk_c4)=sk_c6|~spl0_13|~spl0_5),
% 0.19/0.48 inference(resolution,[status(thm)],[f125,f80])).
% 0.19/0.48 fof(f129,plain,(
% 0.19/0.48 ~sk_c6=sk_c6|~spl0_4|~spl0_13|~spl0_5),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.19/0.48 fof(f130,plain,(
% 0.19/0.48 $false|~spl0_4|~spl0_13|~spl0_5),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f129])).
% 0.19/0.48 fof(f131,plain,(
% 0.19/0.48 ~spl0_4|~spl0_13|~spl0_5),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f130])).
% 0.19/0.48 fof(f132,plain,(
% 0.19/0.48 ~inverse(sk_c3)=sk_c7|~spl0_12|~spl0_3),
% 0.19/0.48 inference(resolution,[status(thm)],[f122,f72])).
% 0.19/0.48 fof(f133,plain,(
% 0.19/0.48 ~sk_c7=sk_c7|~spl0_2|~spl0_12|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f68,f132])).
% 0.19/0.48 fof(f134,plain,(
% 0.19/0.48 $false|~spl0_2|~spl0_12|~spl0_3),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f133])).
% 0.19/0.48 fof(f135,plain,(
% 0.19/0.48 ~spl0_2|~spl0_12|~spl0_3),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f134])).
% 0.19/0.48 fof(f136,plain,(
% 0.19/0.48 ~inverse(sk_c2)=sk_c6|~spl0_11|~spl0_7),
% 0.19/0.48 inference(resolution,[status(thm)],[f119,f92])).
% 0.19/0.48 fof(f137,plain,(
% 0.19/0.48 ~sk_c6=sk_c6|~spl0_8|~spl0_11|~spl0_7),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f100,f136])).
% 0.19/0.48 fof(f138,plain,(
% 0.19/0.48 $false|~spl0_8|~spl0_11|~spl0_7),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f137])).
% 0.19/0.48 fof(f139,plain,(
% 0.19/0.48 ~spl0_8|~spl0_11|~spl0_7),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f138])).
% 0.19/0.48 fof(f140,plain,(
% 0.19/0.48 ~multiply(sk_c1,sk_c7)=sk_c6|~spl0_10|~spl0_6),
% 0.19/0.48 inference(resolution,[status(thm)],[f116,f84])).
% 0.19/0.48 fof(f141,plain,(
% 0.19/0.48 ~sk_c6=sk_c6|~spl0_0|~spl0_10|~spl0_6),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f61,f140])).
% 0.19/0.48 fof(f142,plain,(
% 0.19/0.48 $false|~spl0_0|~spl0_10|~spl0_6),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f141])).
% 0.19/0.48 fof(f143,plain,(
% 0.19/0.48 ~spl0_0|~spl0_10|~spl0_6),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f142])).
% 0.19/0.48 fof(f145,plain,(
% 0.19/0.48 spl0_14 <=> multiply(sk_c3,sk_c7)=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f147,plain,(
% 0.19/0.48 ~multiply(sk_c3,sk_c7)=sk_c6|spl0_14),
% 0.19/0.48 inference(component_clause,[status(thm)],[f145])).
% 0.19/0.48 fof(f148,plain,(
% 0.19/0.48 spl0_15 <=> sk_c7=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f150,plain,(
% 0.19/0.48 ~sk_c7=sk_c7|spl0_15),
% 0.19/0.48 inference(component_clause,[status(thm)],[f148])).
% 0.19/0.48 fof(f151,plain,(
% 0.19/0.48 ~multiply(sk_c3,sk_c7)=sk_c6|~sk_c7=sk_c7|~spl0_10|~spl0_2),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f68,f116])).
% 0.19/0.48 fof(f152,plain,(
% 0.19/0.48 ~spl0_14|~spl0_15|~spl0_10|~spl0_2),
% 0.19/0.48 inference(split_clause,[status(thm)],[f151,f145,f148,f115,f67])).
% 0.19/0.48 fof(f193,plain,(
% 0.19/0.48 multiply(sk_c7,sk_c1)=identity|~spl0_6),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f84,f31])).
% 0.19/0.48 fof(f194,plain,(
% 0.19/0.48 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.19/0.48 fof(f195,plain,(
% 0.19/0.48 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.19/0.48 fof(f196,plain,(
% 0.19/0.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.19/0.48 fof(f197,plain,(
% 0.19/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f196])).
% 0.19/0.48 fof(f200,plain,(
% 0.19/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_6)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f193,f32])).
% 0.19/0.48 fof(f201,plain,(
% 0.19/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_6)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f200])).
% 0.19/0.48 fof(f204,plain,(
% 0.19/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f194,f32])).
% 0.19/0.48 fof(f205,plain,(
% 0.19/0.48 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f204])).
% 0.19/0.48 fof(f208,plain,(
% 0.19/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f195,f32])).
% 0.19/0.48 fof(f209,plain,(
% 0.19/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f208])).
% 0.19/0.48 fof(f211,plain,(
% 0.19/0.48 sk_c7=multiply(sk_c7,sk_c6)|~spl0_6|~spl0_0),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f61,f201])).
% 0.19/0.48 fof(f234,plain,(
% 0.19/0.48 sk_c5=multiply(sk_c6,sk_c6)|~spl0_4|~spl0_5),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f80,f205])).
% 0.19/0.48 fof(f264,plain,(
% 0.19/0.48 spl0_16 <=> sk_c5=sk_c5),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f266,plain,(
% 0.19/0.48 ~sk_c5=sk_c5|spl0_16),
% 0.19/0.48 inference(component_clause,[status(thm)],[f264])).
% 0.19/0.48 fof(f277,plain,(
% 0.19/0.48 $false|spl0_16),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f266])).
% 0.19/0.48 fof(f278,plain,(
% 0.19/0.48 spl0_16),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f277])).
% 0.19/0.48 fof(f279,plain,(
% 0.19/0.48 $false|spl0_15),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f150])).
% 0.19/0.48 fof(f280,plain,(
% 0.19/0.48 spl0_15),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f279])).
% 0.19/0.48 fof(f291,plain,(
% 0.19/0.48 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_1)),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.19/0.48 fof(f297,plain,(
% 0.19/0.48 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f72,f209])).
% 0.19/0.48 fof(f320,plain,(
% 0.19/0.48 spl0_22 <=> sk_c6=sk_c6),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f322,plain,(
% 0.19/0.48 ~sk_c6=sk_c6|spl0_22),
% 0.19/0.48 inference(component_clause,[status(thm)],[f320])).
% 0.19/0.48 fof(f336,plain,(
% 0.19/0.48 $false|spl0_22),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f322])).
% 0.19/0.48 fof(f337,plain,(
% 0.19/0.48 spl0_22),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f336])).
% 0.19/0.48 fof(f344,plain,(
% 0.19/0.48 spl0_26 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.19/0.48 introduced(split_symbol_definition)).
% 0.19/0.48 fof(f346,plain,(
% 0.19/0.48 ~multiply(sk_c1,sk_c6)=sk_c7|spl0_26),
% 0.19/0.48 inference(component_clause,[status(thm)],[f344])).
% 0.19/0.48 fof(f347,plain,(
% 0.19/0.48 ~sk_c7=sk_c7|~multiply(sk_c1,sk_c6)=sk_c7|~spl0_12|~spl0_6),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f84,f122])).
% 0.19/0.48 fof(f348,plain,(
% 0.19/0.48 ~spl0_15|~spl0_26|~spl0_12|~spl0_6),
% 0.19/0.48 inference(split_clause,[status(thm)],[f347,f148,f344,f121,f83])).
% 0.19/0.48 fof(f507,plain,(
% 0.19/0.48 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_6|~spl0_0),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f211,f197])).
% 0.19/0.48 fof(f508,plain,(
% 0.19/0.48 sk_c6=identity|~spl0_6|~spl0_0),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f31,f507])).
% 0.19/0.48 fof(f517,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=identity|~spl0_6|~spl0_0|~spl0_9),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f508,f108])).
% 0.19/0.48 fof(f552,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f297,f291])).
% 0.19/0.48 fof(f553,plain,(
% 0.19/0.48 multiply(sk_c5,sk_c7)=sk_c5|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f234,f552])).
% 0.19/0.48 fof(f559,plain,(
% 0.19/0.48 sk_c7=multiply(inverse(sk_c5),sk_c5)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f553,f197])).
% 0.19/0.48 fof(f560,plain,(
% 0.19/0.48 sk_c7=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f31,f559])).
% 0.19/0.48 fof(f569,plain,(
% 0.19/0.48 multiply(identity,sk_c3)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f560,f195])).
% 0.19/0.48 fof(f570,plain,(
% 0.19/0.48 sk_c3=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f569])).
% 0.19/0.48 fof(f572,plain,(
% 0.19/0.48 sk_c6=multiply(sk_c7,identity)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f560,f297])).
% 0.19/0.48 fof(f573,plain,(
% 0.19/0.48 sk_c6=multiply(identity,identity)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f560,f572])).
% 0.19/0.48 fof(f574,plain,(
% 0.19/0.48 sk_c6=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f573])).
% 0.19/0.48 fof(f578,plain,(
% 0.19/0.48 sk_c5=multiply(sk_c6,identity)|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f574,f234])).
% 0.19/0.48 fof(f579,plain,(
% 0.19/0.48 sk_c5=multiply(identity,identity)|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f574,f578])).
% 0.19/0.48 fof(f580,plain,(
% 0.19/0.48 sk_c5=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f579])).
% 0.19/0.48 fof(f703,plain,(
% 0.19/0.48 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f574,f119])).
% 0.19/0.48 fof(f704,plain,(
% 0.19/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f580,f703])).
% 0.19/0.48 fof(f705,plain,(
% 0.19/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f574,f704])).
% 0.19/0.48 fof(f706,plain,(
% 0.19/0.48 inverse(identity)=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f570,f68])).
% 0.19/0.48 fof(f707,plain,(
% 0.19/0.48 inverse(identity)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f560,f706])).
% 0.19/0.48 fof(f709,plain,(
% 0.19/0.48 ~multiply(identity,identity)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.19/0.48 inference(resolution,[status(thm)],[f707,f705])).
% 0.19/0.48 fof(f710,plain,(
% 0.19/0.48 ~identity=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f709])).
% 0.19/0.48 fof(f711,plain,(
% 0.19/0.48 $false|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f710])).
% 0.19/0.48 fof(f712,plain,(
% 0.19/0.48 ~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f711])).
% 0.19/0.48 fof(f713,plain,(
% 0.19/0.48 multiply(sk_c2,identity)=sk_c5|~spl0_6|~spl0_0|~spl0_7),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f508,f92])).
% 0.19/0.48 fof(f718,plain,(
% 0.19/0.48 identity=sk_c6|~spl0_6|~spl0_0|~spl0_9),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f517,f108])).
% 0.19/0.48 fof(f719,plain,(
% 0.19/0.48 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_13)),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f718,f125])).
% 0.19/0.48 fof(f720,plain,(
% 0.19/0.48 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_13)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f718,f719])).
% 0.19/0.48 fof(f725,plain,(
% 0.19/0.48 inverse(sk_c2)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_8),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f718,f100])).
% 0.19/0.48 fof(f728,plain,(
% 0.19/0.48 multiply(identity,sk_c2)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_8),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f725,f31])).
% 0.19/0.48 fof(f729,plain,(
% 0.19/0.48 sk_c2=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_8),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f728])).
% 0.19/0.48 fof(f737,plain,(
% 0.19/0.48 inverse(identity)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_8),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f729,f725])).
% 0.19/0.48 fof(f738,plain,(
% 0.19/0.48 multiply(identity,identity)=sk_c5|~spl0_9|~spl0_8|~spl0_6|~spl0_0|~spl0_7),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f729,f713])).
% 0.19/0.48 fof(f739,plain,(
% 0.19/0.48 identity=sk_c5|~spl0_9|~spl0_8|~spl0_6|~spl0_0|~spl0_7),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f738])).
% 0.19/0.48 fof(f740,plain,(
% 0.19/0.48 multiply(identity,sk_c7)=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f739,f517])).
% 0.19/0.48 fof(f741,plain,(
% 0.19/0.48 sk_c7=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f740])).
% 0.19/0.48 fof(f742,plain,(
% 0.19/0.48 inverse(sk_c1)=identity|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6),
% 0.19/0.48 inference(backward_demodulation,[status(thm)],[f741,f84])).
% 0.19/0.48 fof(f745,plain,(
% 0.19/0.48 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_13)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f739,f720])).
% 0.19/0.48 fof(f746,plain,(
% 0.19/0.48 ~multiply(identity,identity)=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_13),
% 0.19/0.48 inference(resolution,[status(thm)],[f737,f745])).
% 0.19/0.48 fof(f747,plain,(
% 0.19/0.48 ~identity=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_13),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f746])).
% 0.19/0.48 fof(f748,plain,(
% 0.19/0.48 $false|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_13),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f747])).
% 0.19/0.48 fof(f749,plain,(
% 0.19/0.48 ~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_13),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f748])).
% 0.19/0.48 fof(f766,plain,(
% 0.19/0.48 multiply(identity,sk_c1)=identity|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6),
% 0.19/0.48 inference(paramodulation,[status(thm)],[f742,f31])).
% 0.19/0.48 fof(f767,plain,(
% 0.19/0.48 sk_c1=identity|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f766])).
% 0.19/0.48 fof(f770,plain,(
% 0.19/0.48 ~multiply(identity,sk_c6)=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f767,f346])).
% 0.19/0.48 fof(f771,plain,(
% 0.19/0.48 ~sk_c6=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f770])).
% 0.19/0.48 fof(f772,plain,(
% 0.19/0.48 ~identity=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f718,f771])).
% 0.19/0.48 fof(f773,plain,(
% 0.19/0.48 ~identity=identity|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f741,f772])).
% 0.19/0.48 fof(f774,plain,(
% 0.19/0.48 $false|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f773])).
% 0.19/0.48 fof(f775,plain,(
% 0.19/0.48 ~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_6|spl0_26),
% 0.19/0.48 inference(contradiction_clause,[status(thm)],[f774])).
% 0.19/0.48 fof(f776,plain,(
% 0.19/0.48 ~multiply(identity,sk_c7)=sk_c5|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f718,f65])).
% 0.19/0.48 fof(f777,plain,(
% 0.19/0.48 ~sk_c7=sk_c5|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f30,f776])).
% 0.19/0.48 fof(f778,plain,(
% 0.19/0.48 ~identity=sk_c5|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f741,f777])).
% 0.19/0.48 fof(f779,plain,(
% 0.19/0.48 ~identity=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f739,f778])).
% 0.19/0.48 fof(f780,plain,(
% 0.19/0.48 $false|~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.48 inference(trivial_equality_resolution,[status(esa)],[f779])).
% 0.19/0.48 fof(f781,plain,(
% 0.19/0.48 ~spl0_8|~spl0_7|~spl0_6|~spl0_0|~spl0_9|spl0_1),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f780])).
% 0.19/0.49 fof(f808,plain,(
% 0.19/0.49 ~multiply(identity,sk_c7)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f580,f109])).
% 0.19/0.49 fof(f809,plain,(
% 0.19/0.49 ~sk_c7=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f30,f808])).
% 0.19/0.49 fof(f810,plain,(
% 0.19/0.49 ~identity=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f560,f809])).
% 0.19/0.49 fof(f811,plain,(
% 0.19/0.49 ~identity=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f574,f810])).
% 0.19/0.49 fof(f812,plain,(
% 0.19/0.49 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f811])).
% 0.19/0.49 fof(f813,plain,(
% 0.19/0.49 ~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5|spl0_9),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f812])).
% 0.19/0.49 fof(f814,plain,(
% 0.19/0.49 ~multiply(identity,sk_c7)=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f570,f147])).
% 0.19/0.49 fof(f815,plain,(
% 0.19/0.49 ~sk_c7=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f30,f814])).
% 0.19/0.49 fof(f816,plain,(
% 0.19/0.49 ~identity=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f560,f815])).
% 0.19/0.49 fof(f817,plain,(
% 0.19/0.49 ~identity=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f574,f816])).
% 0.19/0.49 fof(f818,plain,(
% 0.19/0.49 $false|~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(trivial_equality_resolution,[status(esa)],[f817])).
% 0.19/0.49 fof(f819,plain,(
% 0.19/0.49 ~spl0_4|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_14),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f818])).
% 0.19/0.49 fof(f820,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 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,f131,f135,f139,f143,f152,f278,f280,f337,f348,f712,f749,f775,f781,f813,f819])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 % Elapsed time: 0.149066 seconds
% 0.19/0.49 % CPU time: 1.093421 seconds
% 0.19/0.49 % Total memory used: 79.190 MB
% 0.19/0.49 % Net memory used: 78.422 MB
%------------------------------------------------------------------------------