TSTP Solution File: GRP363-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:20:13 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP363-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:49:05 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f1,axiom,(
% 0.20/0.52 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f2,axiom,(
% 0.20/0.52 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f3,axiom,(
% 0.20/0.52 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f4,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f5,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f6,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c2) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f7,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f8,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f9,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f10,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f11,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f12,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f13,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f14,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f15,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f16,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f17,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f18,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c2) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f19,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f20,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f21,negated_conjecture,(
% 0.20/0.52 ( multiply(sk_c1,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f22,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f23,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f24,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| inverse(sk_c2) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f25,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f26,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f27,negated_conjecture,(
% 0.20/0.52 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f28,negated_conjecture,(
% 0.20/0.52 (![X2,X1,X3,X4]: (( multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c6) != sk_c5| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7 ) ))),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f29,plain,(
% 0.20/0.52 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.52 fof(f30,plain,(
% 0.20/0.52 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.52 fof(f31,plain,(
% 0.20/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.52 fof(f32,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.52 fof(f33,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.52 fof(f34,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c2)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.52 fof(f35,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c7,sk_c4)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.52 fof(f36,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c7)=sk_c4),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.52 fof(f37,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.52 fof(f38,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.52 fof(f39,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.52 fof(f40,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.52 fof(f41,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.52 fof(f42,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.52 fof(f43,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.52 fof(f44,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.52 fof(f45,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.52 fof(f46,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c2)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.52 fof(f47,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.52 fof(f48,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.52 fof(f49,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.52 fof(f50,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.52 fof(f51,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.52 fof(f52,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|inverse(sk_c2)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.52 fof(f53,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c7,sk_c4)=sk_c6),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.52 fof(f54,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c7)=sk_c4),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.52 fof(f55,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.52 fof(f56,plain,(
% 0.20/0.52 ![X4]: ((![X3]: (((![X1]: ((((![X2]: (((~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5)|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7)),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f28])).
% 0.20/0.52 fof(f57,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f56])).
% 0.20/0.52 fof(f58,plain,(
% 0.20/0.52 spl0_0 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f59,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c7|~spl0_0),
% 0.20/0.52 inference(component_clause,[status(thm)],[f58])).
% 0.20/0.52 fof(f60,plain,(
% 0.20/0.52 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_0),
% 0.20/0.52 inference(component_clause,[status(thm)],[f58])).
% 0.20/0.52 fof(f61,plain,(
% 0.20/0.52 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f62,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.20/0.52 inference(component_clause,[status(thm)],[f61])).
% 0.20/0.52 fof(f63,plain,(
% 0.20/0.52 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.20/0.52 inference(component_clause,[status(thm)],[f61])).
% 0.20/0.52 fof(f64,plain,(
% 0.20/0.52 spl0_0|spl0_1),
% 0.20/0.52 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.20/0.52 fof(f65,plain,(
% 0.20/0.52 spl0_2 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f66,plain,(
% 0.20/0.52 multiply(sk_c2,sk_c6)=sk_c7|~spl0_2),
% 0.20/0.52 inference(component_clause,[status(thm)],[f65])).
% 0.20/0.52 fof(f68,plain,(
% 0.20/0.52 spl0_0|spl0_2),
% 0.20/0.52 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.20/0.52 fof(f69,plain,(
% 0.20/0.52 spl0_3 <=> inverse(sk_c2)=sk_c6),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f70,plain,(
% 0.20/0.52 inverse(sk_c2)=sk_c6|~spl0_3),
% 0.20/0.52 inference(component_clause,[status(thm)],[f69])).
% 0.20/0.52 fof(f72,plain,(
% 0.20/0.52 spl0_0|spl0_3),
% 0.20/0.52 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.20/0.52 fof(f73,plain,(
% 0.20/0.52 spl0_4 <=> multiply(sk_c7,sk_c4)=sk_c6),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f74,plain,(
% 0.20/0.52 multiply(sk_c7,sk_c4)=sk_c6|~spl0_4),
% 0.20/0.52 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.52 fof(f76,plain,(
% 0.20/0.52 spl0_0|spl0_4),
% 0.20/0.52 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.20/0.52 fof(f77,plain,(
% 0.20/0.52 spl0_5 <=> multiply(sk_c3,sk_c7)=sk_c4),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f78,plain,(
% 0.20/0.52 multiply(sk_c3,sk_c7)=sk_c4|~spl0_5),
% 0.20/0.52 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.52 fof(f80,plain,(
% 0.20/0.52 spl0_0|spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.20/0.52 fof(f81,plain,(
% 0.20/0.52 spl0_6 <=> inverse(sk_c3)=sk_c7),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f82,plain,(
% 0.20/0.52 inverse(sk_c3)=sk_c7|~spl0_6),
% 0.20/0.52 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.52 fof(f84,plain,(
% 0.20/0.52 spl0_0|spl0_6),
% 0.20/0.52 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.20/0.52 fof(f85,plain,(
% 0.20/0.52 spl0_7 <=> inverse(sk_c6)=sk_c5),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f86,plain,(
% 0.20/0.52 inverse(sk_c6)=sk_c5|~spl0_7),
% 0.20/0.52 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.52 fof(f87,plain,(
% 0.20/0.52 ~inverse(sk_c6)=sk_c5|spl0_7),
% 0.20/0.52 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.52 fof(f88,plain,(
% 0.20/0.52 spl0_7|spl0_1),
% 0.20/0.52 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.20/0.52 fof(f89,plain,(
% 0.20/0.52 spl0_7|spl0_2),
% 0.20/0.52 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.20/0.52 fof(f90,plain,(
% 0.20/0.52 spl0_7|spl0_3),
% 0.20/0.52 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.20/0.52 fof(f91,plain,(
% 0.20/0.52 spl0_7|spl0_4),
% 0.20/0.52 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.20/0.52 fof(f92,plain,(
% 0.20/0.52 spl0_7|spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.20/0.52 fof(f93,plain,(
% 0.20/0.52 spl0_7|spl0_6),
% 0.20/0.52 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.20/0.52 fof(f94,plain,(
% 0.20/0.52 spl0_8 <=> multiply(sk_c1,sk_c6)=sk_c5),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f95,plain,(
% 0.20/0.52 multiply(sk_c1,sk_c6)=sk_c5|~spl0_8),
% 0.20/0.52 inference(component_clause,[status(thm)],[f94])).
% 0.20/0.52 fof(f97,plain,(
% 0.20/0.52 spl0_8|spl0_1),
% 0.20/0.52 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.20/0.52 fof(f98,plain,(
% 0.20/0.52 spl0_8|spl0_2),
% 0.20/0.52 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.20/0.52 fof(f99,plain,(
% 0.20/0.52 spl0_8|spl0_3),
% 0.20/0.52 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.20/0.52 fof(f100,plain,(
% 0.20/0.52 spl0_8|spl0_4),
% 0.20/0.52 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.20/0.52 fof(f101,plain,(
% 0.20/0.52 spl0_8|spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.20/0.52 fof(f102,plain,(
% 0.20/0.52 spl0_8|spl0_6),
% 0.20/0.52 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.20/0.52 fof(f103,plain,(
% 0.20/0.52 spl0_9 <=> inverse(sk_c1)=sk_c6),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f104,plain,(
% 0.20/0.52 inverse(sk_c1)=sk_c6|~spl0_9),
% 0.20/0.52 inference(component_clause,[status(thm)],[f103])).
% 0.20/0.52 fof(f106,plain,(
% 0.20/0.52 spl0_9|spl0_1),
% 0.20/0.52 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.20/0.52 fof(f107,plain,(
% 0.20/0.52 spl0_9|spl0_2),
% 0.20/0.52 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.20/0.52 fof(f108,plain,(
% 0.20/0.52 spl0_9|spl0_3),
% 0.20/0.52 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.20/0.52 fof(f109,plain,(
% 0.20/0.52 spl0_9|spl0_4),
% 0.20/0.52 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.20/0.52 fof(f110,plain,(
% 0.20/0.52 spl0_9|spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.20/0.52 fof(f111,plain,(
% 0.20/0.52 spl0_9|spl0_6),
% 0.20/0.52 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.20/0.52 fof(f112,plain,(
% 0.20/0.52 spl0_10 <=> ~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f113,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_10)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f112])).
% 0.20/0.52 fof(f115,plain,(
% 0.20/0.52 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f116,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.52 fof(f118,plain,(
% 0.20/0.52 spl0_12 <=> ~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f119,plain,(
% 0.20/0.52 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_12)),
% 0.20/0.52 inference(component_clause,[status(thm)],[f118])).
% 0.20/0.52 fof(f121,plain,(
% 0.20/0.52 ~spl0_0|~spl0_7|spl0_10|~spl0_1|spl0_11|spl0_12),
% 0.20/0.52 inference(split_clause,[status(thm)],[f57,f58,f85,f112,f61,f115,f118])).
% 0.20/0.52 fof(f122,plain,(
% 0.20/0.52 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.20/0.52 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 0.20/0.52 fof(f123,plain,(
% 0.20/0.52 ~multiply(sk_c7,sk_c4)=sk_c6|~inverse(sk_c3)=sk_c7|~spl0_12|~spl0_5),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f78,f122])).
% 0.20/0.52 fof(f124,plain,(
% 0.20/0.52 ~spl0_4|~spl0_6|~spl0_12|~spl0_5),
% 0.20/0.52 inference(split_clause,[status(thm)],[f123,f73,f81,f118,f77])).
% 0.20/0.52 fof(f125,plain,(
% 0.20/0.52 ~inverse(sk_c2)=sk_c6|~spl0_11|~spl0_2),
% 0.20/0.52 inference(resolution,[status(thm)],[f116,f66])).
% 0.20/0.52 fof(f126,plain,(
% 0.20/0.52 ~sk_c6=sk_c6|~spl0_3|~spl0_11|~spl0_2),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f70,f125])).
% 0.20/0.52 fof(f127,plain,(
% 0.20/0.52 $false|~spl0_3|~spl0_11|~spl0_2),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f126])).
% 0.20/0.52 fof(f128,plain,(
% 0.20/0.52 ~spl0_3|~spl0_11|~spl0_2),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f127])).
% 0.20/0.52 fof(f129,plain,(
% 0.20/0.52 ~inverse(sk_c1)=sk_c6|~spl0_10|~spl0_8),
% 0.20/0.52 inference(resolution,[status(thm)],[f113,f95])).
% 0.20/0.52 fof(f130,plain,(
% 0.20/0.52 ~sk_c6=sk_c6|~spl0_9|~spl0_10|~spl0_8),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f104,f129])).
% 0.20/0.52 fof(f131,plain,(
% 0.20/0.52 $false|~spl0_9|~spl0_10|~spl0_8),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f130])).
% 0.20/0.52 fof(f132,plain,(
% 0.20/0.52 ~spl0_9|~spl0_10|~spl0_8),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f131])).
% 0.20/0.52 fof(f1387,plain,(
% 0.20/0.52 multiply(sk_c5,sk_c6)=identity|~spl0_7),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f86,f30])).
% 0.20/0.52 fof(f1388,plain,(
% 0.20/0.52 multiply(sk_c7,sk_c3)=identity|~spl0_6),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f82,f30])).
% 0.20/0.52 fof(f1390,plain,(
% 0.20/0.52 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.20/0.52 fof(f1391,plain,(
% 0.20/0.52 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f1390])).
% 0.20/0.52 fof(f1427,plain,(
% 0.20/0.52 ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~spl0_9)),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f104,f1391])).
% 0.20/0.52 fof(f1506,plain,(
% 0.20/0.52 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_2),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f66,f1391])).
% 0.20/0.52 fof(f1507,plain,(
% 0.20/0.52 sk_c6=multiply(sk_c6,sk_c7)|~spl0_3|~spl0_2),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f70,f1506])).
% 0.20/0.52 fof(f1508,plain,(
% 0.20/0.52 sk_c6=sk_c5|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f62,f1507])).
% 0.20/0.52 fof(f1518,plain,(
% 0.20/0.52 sk_c7=multiply(inverse(sk_c3),sk_c4)|~spl0_5),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f78,f1391])).
% 0.20/0.52 fof(f1519,plain,(
% 0.20/0.52 sk_c7=multiply(sk_c7,sk_c4)|~spl0_6|~spl0_5),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f82,f1518])).
% 0.20/0.52 fof(f1520,plain,(
% 0.20/0.52 sk_c7=sk_c6|~spl0_4|~spl0_6|~spl0_5),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f74,f1519])).
% 0.20/0.52 fof(f1859,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c7)=sk_c6|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1508,f62])).
% 0.20/0.52 fof(f1860,plain,(
% 0.20/0.52 ~multiply(sk_c6,sk_c6)=sk_c7|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1508,f60])).
% 0.20/0.52 fof(f1863,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c3)=identity|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1520,f1388])).
% 0.20/0.52 fof(f1869,plain,(
% 0.20/0.52 inverse(sk_c3)=sk_c6|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1520,f82])).
% 0.20/0.52 fof(f1933,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c6)=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1508,f59])).
% 0.20/0.52 fof(f1934,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c6)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1520,f1933])).
% 0.20/0.52 fof(f1935,plain,(
% 0.20/0.52 sk_c6=multiply(inverse(sk_c6),sk_c6)|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f1934,f1391])).
% 0.20/0.52 fof(f1936,plain,(
% 0.20/0.52 sk_c6=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f30,f1935])).
% 0.20/0.52 fof(f1943,plain,(
% 0.20/0.52 multiply(identity,sk_c3)=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_0|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1936,f1863])).
% 0.20/0.52 fof(f1944,plain,(
% 0.20/0.52 sk_c3=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_0|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f1943])).
% 0.20/0.52 fof(f1947,plain,(
% 0.20/0.52 identity=sk_c5|~spl0_4|~spl0_6|~spl0_5|~spl0_0|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f1936,f1508])).
% 0.20/0.52 fof(f2025,plain,(
% 0.20/0.52 inverse(identity)=sk_c6|~spl0_1|~spl0_3|~spl0_2|~spl0_0|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1944,f1869])).
% 0.20/0.52 fof(f2026,plain,(
% 0.20/0.52 inverse(identity)=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_0|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1936,f2025])).
% 0.20/0.52 fof(f2035,plain,(
% 0.20/0.52 ~inverse(identity)=sk_c5|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0|spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1936,f87])).
% 0.20/0.52 fof(f2036,plain,(
% 0.20/0.52 ~identity=sk_c5|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0|spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2026,f2035])).
% 0.20/0.52 fof(f2037,plain,(
% 0.20/0.52 ~identity=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0|spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1947,f2036])).
% 0.20/0.52 fof(f2038,plain,(
% 0.20/0.52 $false|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0|spl0_7),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2037])).
% 0.20/0.52 fof(f2039,plain,(
% 0.20/0.52 ~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|~spl0_0|spl0_7),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2038])).
% 0.20/0.52 fof(f2051,plain,(
% 0.20/0.52 sk_c7=multiply(inverse(sk_c6),sk_c6)|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f1859,f1391])).
% 0.20/0.52 fof(f2052,plain,(
% 0.20/0.52 sk_c7=identity|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f30,f2051])).
% 0.20/0.52 fof(f2059,plain,(
% 0.20/0.52 sk_c6=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1520,f2052])).
% 0.20/0.52 fof(f2060,plain,(
% 0.20/0.52 sk_c7=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2059,f1520])).
% 0.20/0.52 fof(f2061,plain,(
% 0.20/0.52 identity=sk_c5|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2059,f1508])).
% 0.20/0.52 fof(f2066,plain,(
% 0.20/0.52 inverse(sk_c3)=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2059,f1869])).
% 0.20/0.52 fof(f2071,plain,(
% 0.20/0.52 ~multiply(identity,sk_c6)=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2059,f1860])).
% 0.20/0.52 fof(f2072,plain,(
% 0.20/0.52 ~sk_c6=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2071])).
% 0.20/0.52 fof(f2073,plain,(
% 0.20/0.52 ~identity=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2059,f2072])).
% 0.20/0.52 fof(f2074,plain,(
% 0.20/0.52 ~identity=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2060,f2073])).
% 0.20/0.52 fof(f2075,plain,(
% 0.20/0.52 $false|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2074])).
% 0.20/0.52 fof(f2076,plain,(
% 0.20/0.52 ~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2075])).
% 0.20/0.52 fof(f2646,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2059,f113])).
% 0.20/0.52 fof(f2647,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2061,f2646])).
% 0.20/0.52 fof(f2648,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2059,f2647])).
% 0.20/0.52 fof(f2649,plain,(
% 0.20/0.52 spl0_13 <=> sk_c7=sk_c5),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f2651,plain,(
% 0.20/0.52 ~sk_c7=sk_c5|spl0_13),
% 0.20/0.52 inference(component_clause,[status(thm)],[f2649])).
% 0.20/0.52 fof(f2654,plain,(
% 0.20/0.52 ~sk_c5=sk_c7|~inverse(sk_c1)=sk_c6|~spl0_11|~spl0_8),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f95,f116])).
% 0.20/0.52 fof(f2655,plain,(
% 0.20/0.52 ~spl0_13|~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.52 inference(split_clause,[status(thm)],[f2654,f2649,f103,f115,f94])).
% 0.20/0.52 fof(f2670,plain,(
% 0.20/0.52 sk_c6=multiply(sk_c6,sk_c5)|~spl0_9|~spl0_8),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f95,f1427])).
% 0.20/0.52 fof(f2671,plain,(
% 0.20/0.52 sk_c6=sk_c7|~spl0_0|~spl0_9|~spl0_8),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f59,f2670])).
% 0.20/0.52 fof(f2679,plain,(
% 0.20/0.52 ~multiply(sk_c6,sk_c6)=sk_c5|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2671,f63])).
% 0.20/0.52 fof(f2683,plain,(
% 0.20/0.52 multiply(sk_c6,sk_c5)=sk_c6|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2671,f59])).
% 0.20/0.52 fof(f2691,plain,(
% 0.20/0.52 sk_c5=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.52 inference(paramodulation,[status(thm)],[f2683,f1391])).
% 0.20/0.52 fof(f2692,plain,(
% 0.20/0.52 sk_c5=identity|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f30,f2691])).
% 0.20/0.52 fof(f2695,plain,(
% 0.20/0.52 ~multiply(sk_c6,sk_c6)=identity|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2692,f2679])).
% 0.20/0.52 fof(f2696,plain,(
% 0.20/0.52 inverse(sk_c6)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2692,f86])).
% 0.20/0.52 fof(f2698,plain,(
% 0.20/0.52 multiply(identity,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2692,f1387])).
% 0.20/0.52 fof(f2699,plain,(
% 0.20/0.52 sk_c6=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2698])).
% 0.20/0.52 fof(f2702,plain,(
% 0.20/0.52 identity=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_8),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f2699,f2671])).
% 0.20/0.52 fof(f2708,plain,(
% 0.20/0.52 inverse(identity)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2699,f2696])).
% 0.20/0.52 fof(f2725,plain,(
% 0.20/0.52 ~multiply(identity,sk_c6)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2699,f2695])).
% 0.20/0.52 fof(f2726,plain,(
% 0.20/0.52 ~sk_c6=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2725])).
% 0.20/0.52 fof(f2727,plain,(
% 0.20/0.52 ~identity=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2699,f2726])).
% 0.20/0.52 fof(f2728,plain,(
% 0.20/0.52 $false|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2727])).
% 0.20/0.52 fof(f2729,plain,(
% 0.20/0.52 ~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2728])).
% 0.20/0.52 fof(f2782,plain,(
% 0.20/0.52 ![X0]: (~multiply(identity,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_12)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2702,f122])).
% 0.20/0.52 fof(f2783,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_12)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2782])).
% 0.20/0.52 fof(f2784,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_12)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2702,f2783])).
% 0.20/0.52 fof(f2785,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_12)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2699,f2784])).
% 0.20/0.52 fof(f2786,plain,(
% 0.20/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_12)),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2702,f2785])).
% 0.20/0.52 fof(f2840,plain,(
% 0.20/0.52 ~identity=sk_c5|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_13),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2702,f2651])).
% 0.20/0.52 fof(f2841,plain,(
% 0.20/0.52 ~identity=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_13),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f2692,f2840])).
% 0.20/0.52 fof(f2842,plain,(
% 0.20/0.52 $false|~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_13),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2841])).
% 0.20/0.52 fof(f2843,plain,(
% 0.20/0.52 ~spl0_7|~spl0_0|~spl0_9|~spl0_8|spl0_13),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2842])).
% 0.20/0.52 fof(f2849,plain,(
% 0.20/0.52 ~multiply(identity,identity)=identity|~spl0_12|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(resolution,[status(thm)],[f2786,f2708])).
% 0.20/0.52 fof(f2850,plain,(
% 0.20/0.52 ~identity=identity|~spl0_12|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2849])).
% 0.20/0.52 fof(f2851,plain,(
% 0.20/0.52 $false|~spl0_12|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2850])).
% 0.20/0.52 fof(f2852,plain,(
% 0.20/0.52 ~spl0_12|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2851])).
% 0.20/0.52 fof(f2863,plain,(
% 0.20/0.52 inverse(identity)=identity|~spl0_0|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_5|~spl0_6),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f1944,f2066])).
% 0.20/0.52 fof(f2864,plain,(
% 0.20/0.52 ~multiply(identity,identity)=identity|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.52 inference(resolution,[status(thm)],[f2863,f2648])).
% 0.20/0.52 fof(f2865,plain,(
% 0.20/0.52 ~identity=identity|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.52 inference(forward_demodulation,[status(thm)],[f29,f2864])).
% 0.20/0.52 fof(f2866,plain,(
% 0.20/0.52 $false|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.52 inference(trivial_equality_resolution,[status(esa)],[f2865])).
% 0.20/0.52 fof(f2867,plain,(
% 0.20/0.52 ~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.52 inference(contradiction_clause,[status(thm)],[f2866])).
% 0.20/0.52 fof(f2868,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f121,f124,f128,f132,f2039,f2076,f2655,f2729,f2843,f2852,f2867])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.55 % Elapsed time: 0.177680 seconds
% 0.20/0.55 % CPU time: 1.262759 seconds
% 0.20/0.55 % Total memory used: 79.094 MB
% 0.20/0.55 % Net memory used: 78.164 MB
%------------------------------------------------------------------------------