TSTP Solution File: GRP376-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:11:30 EDT 2023
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n032.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 11:30:16 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 0.15/0.44 % Refutation found
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.44 fof(f1,axiom,(
% 0.15/0.44 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f2,axiom,(
% 0.15/0.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f3,axiom,(
% 0.15/0.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f4,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f5,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f6,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f7,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f8,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f9,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f10,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f11,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f12,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f13,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f14,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f15,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f16,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f17,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f18,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f19,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f25,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f26,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f27,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f28,negated_conjecture,(
% 0.15/0.44 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f29,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f30,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f31,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f32,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f33,negated_conjecture,(
% 0.15/0.44 ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f34,negated_conjecture,(
% 0.15/0.44 (![X3,X4,X1,X2]: (( inverse(sk_c7) != sk_c6| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c5,sk_c6) != sk_c7| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| 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 ) ))),
% 0.15/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.44 fof(f35,plain,(
% 0.15/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.44 fof(f36,plain,(
% 0.15/0.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.44 fof(f37,plain,(
% 0.15/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.44 fof(f38,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.44 fof(f39,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.44 fof(f40,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.44 fof(f41,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.44 fof(f42,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.44 fof(f43,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.44 fof(f44,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.44 fof(f45,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.44 fof(f46,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.44 fof(f47,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.44 fof(f48,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.44 fof(f49,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.44 fof(f50,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.44 fof(f51,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.44 fof(f52,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.44 fof(f53,plain,(
% 0.15/0.44 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.44 fof(f59,plain,(
% 0.15/0.44 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.44 fof(f60,plain,(
% 0.15/0.44 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.44 fof(f61,plain,(
% 0.15/0.44 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.44 fof(f62,plain,(
% 0.15/0.44 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.44 fof(f63,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.44 fof(f64,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.44 fof(f65,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.44 fof(f66,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f32])).
% 0.15/0.44 fof(f67,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.44 fof(f68,plain,(
% 0.15/0.44 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~inverse(sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~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)),
% 0.15/0.44 inference(miniscoping,[status(esa)],[f34])).
% 0.15/0.44 fof(f69,plain,(
% 0.15/0.44 ![X0,X1,X2,X3]: (~inverse(sk_c7)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5|~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)),
% 0.15/0.44 inference(cnf_transformation,[status(esa)],[f68])).
% 0.15/0.44 fof(f70,plain,(
% 0.15/0.44 spl0_0 <=> inverse(sk_c7)=sk_c6),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f71,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c6|~spl0_0),
% 0.15/0.44 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.44 fof(f72,plain,(
% 0.15/0.44 ~inverse(sk_c7)=sk_c6|spl0_0),
% 0.15/0.44 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.44 fof(f73,plain,(
% 0.15/0.44 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f74,plain,(
% 0.15/0.44 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.15/0.44 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.44 fof(f75,plain,(
% 0.15/0.44 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.15/0.44 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.44 fof(f76,plain,(
% 0.15/0.44 spl0_0|spl0_1),
% 0.15/0.44 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.15/0.44 fof(f77,plain,(
% 0.15/0.44 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f78,plain,(
% 0.15/0.44 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.15/0.44 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.44 fof(f80,plain,(
% 0.15/0.44 spl0_0|spl0_2),
% 0.15/0.44 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.15/0.44 fof(f81,plain,(
% 0.15/0.44 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f82,plain,(
% 0.15/0.44 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.15/0.44 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.44 fof(f84,plain,(
% 0.15/0.44 spl0_0|spl0_3),
% 0.15/0.44 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.15/0.44 fof(f85,plain,(
% 0.15/0.44 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f86,plain,(
% 0.15/0.44 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.15/0.44 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.44 fof(f88,plain,(
% 0.15/0.44 spl0_0|spl0_4),
% 0.15/0.44 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.15/0.44 fof(f89,plain,(
% 0.15/0.44 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f90,plain,(
% 0.15/0.44 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.15/0.44 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.44 fof(f92,plain,(
% 0.15/0.44 spl0_0|spl0_5),
% 0.15/0.44 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.15/0.44 fof(f93,plain,(
% 0.15/0.44 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f94,plain,(
% 0.15/0.44 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.15/0.44 inference(component_clause,[status(thm)],[f93])).
% 0.15/0.44 fof(f96,plain,(
% 0.15/0.44 spl0_6|spl0_1),
% 0.15/0.44 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.15/0.44 fof(f97,plain,(
% 0.15/0.44 spl0_6|spl0_2),
% 0.15/0.44 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.15/0.44 fof(f98,plain,(
% 0.15/0.44 spl0_6|spl0_3),
% 0.15/0.44 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.15/0.44 fof(f99,plain,(
% 0.15/0.44 spl0_6|spl0_4),
% 0.15/0.44 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.15/0.44 fof(f100,plain,(
% 0.15/0.44 spl0_6|spl0_5),
% 0.15/0.44 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.15/0.44 fof(f101,plain,(
% 0.15/0.44 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f102,plain,(
% 0.15/0.44 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.15/0.44 inference(component_clause,[status(thm)],[f101])).
% 0.15/0.44 fof(f104,plain,(
% 0.15/0.44 spl0_7|spl0_1),
% 0.15/0.44 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.15/0.44 fof(f105,plain,(
% 0.15/0.44 spl0_7|spl0_2),
% 0.15/0.44 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.15/0.44 fof(f106,plain,(
% 0.15/0.44 spl0_7|spl0_3),
% 0.15/0.44 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.15/0.44 fof(f107,plain,(
% 0.15/0.44 spl0_7|spl0_4),
% 0.15/0.44 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.15/0.44 fof(f108,plain,(
% 0.15/0.44 spl0_7|spl0_5),
% 0.15/0.44 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.15/0.44 fof(f109,plain,(
% 0.15/0.44 spl0_8 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f110,plain,(
% 0.15/0.44 multiply(sk_c5,sk_c6)=sk_c7|~spl0_8),
% 0.15/0.44 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.44 fof(f111,plain,(
% 0.15/0.44 ~multiply(sk_c5,sk_c6)=sk_c7|spl0_8),
% 0.15/0.44 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.44 fof(f112,plain,(
% 0.15/0.44 spl0_8|spl0_1),
% 0.15/0.44 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.15/0.44 fof(f117,plain,(
% 0.15/0.44 spl0_9 <=> multiply(sk_c2,sk_c5)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f118,plain,(
% 0.15/0.44 multiply(sk_c2,sk_c5)=sk_c7|~spl0_9),
% 0.15/0.44 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.44 fof(f121,plain,(
% 0.15/0.44 spl0_9|spl0_2),
% 0.15/0.44 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.15/0.44 fof(f122,plain,(
% 0.15/0.44 spl0_9|spl0_3),
% 0.15/0.44 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.15/0.44 fof(f123,plain,(
% 0.15/0.44 spl0_9|spl0_4),
% 0.15/0.44 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.15/0.44 fof(f124,plain,(
% 0.15/0.44 spl0_9|spl0_5),
% 0.15/0.44 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.15/0.44 fof(f125,plain,(
% 0.15/0.44 spl0_10 <=> inverse(sk_c2)=sk_c5),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f126,plain,(
% 0.15/0.44 inverse(sk_c2)=sk_c5|~spl0_10),
% 0.15/0.44 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.44 fof(f128,plain,(
% 0.15/0.44 spl0_10|spl0_1),
% 0.15/0.44 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.15/0.44 fof(f129,plain,(
% 0.15/0.44 spl0_10|spl0_2),
% 0.15/0.44 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.15/0.44 fof(f130,plain,(
% 0.15/0.44 spl0_10|spl0_3),
% 0.15/0.44 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.15/0.44 fof(f131,plain,(
% 0.15/0.44 spl0_10|spl0_4),
% 0.15/0.44 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.15/0.44 fof(f132,plain,(
% 0.15/0.44 spl0_10|spl0_5),
% 0.15/0.44 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.15/0.44 fof(f133,plain,(
% 0.15/0.44 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f134,plain,(
% 0.15/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.44 fof(f136,plain,(
% 0.15/0.44 spl0_12 <=> ~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f137,plain,(
% 0.15/0.44 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~spl0_12)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.44 fof(f139,plain,(
% 0.15/0.44 spl0_13 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f140,plain,(
% 0.15/0.44 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_13)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f139])).
% 0.15/0.44 fof(f142,plain,(
% 0.15/0.44 spl0_14 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.15/0.44 introduced(split_symbol_definition)).
% 0.15/0.44 fof(f143,plain,(
% 0.15/0.44 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_14)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f142])).
% 0.15/0.44 fof(f145,plain,(
% 0.15/0.44 ~spl0_0|spl0_11|~spl0_8|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.15/0.44 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.15/0.44 fof(f146,plain,(
% 0.15/0.44 ~inverse(sk_c4)=sk_c6|~spl0_14|~spl0_5),
% 0.15/0.44 inference(resolution,[status(thm)],[f143,f90])).
% 0.15/0.44 fof(f147,plain,(
% 0.15/0.44 ~sk_c6=sk_c6|~spl0_4|~spl0_14|~spl0_5),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.15/0.44 fof(f148,plain,(
% 0.15/0.44 $false|~spl0_4|~spl0_14|~spl0_5),
% 0.15/0.44 inference(trivial_equality_resolution,[status(esa)],[f147])).
% 0.15/0.44 fof(f149,plain,(
% 0.15/0.44 ~spl0_4|~spl0_14|~spl0_5),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f148])).
% 0.15/0.44 fof(f151,plain,(
% 0.15/0.44 ~inverse(sk_c3)=sk_c7|~spl0_13|~spl0_3),
% 0.15/0.44 inference(resolution,[status(thm)],[f140,f82])).
% 0.15/0.44 fof(f152,plain,(
% 0.15/0.44 ~sk_c7=sk_c7|~spl0_2|~spl0_13|~spl0_3),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f78,f151])).
% 0.15/0.44 fof(f153,plain,(
% 0.15/0.44 $false|~spl0_2|~spl0_13|~spl0_3),
% 0.15/0.44 inference(trivial_equality_resolution,[status(esa)],[f152])).
% 0.15/0.44 fof(f154,plain,(
% 0.15/0.44 ~spl0_2|~spl0_13|~spl0_3),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f153])).
% 0.15/0.44 fof(f155,plain,(
% 0.15/0.44 ~inverse(sk_c2)=sk_c5|~spl0_12|~spl0_9),
% 0.15/0.44 inference(resolution,[status(thm)],[f137,f118])).
% 0.15/0.44 fof(f156,plain,(
% 0.15/0.44 ~sk_c5=sk_c5|~spl0_10|~spl0_12|~spl0_9),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f126,f155])).
% 0.15/0.44 fof(f157,plain,(
% 0.15/0.44 $false|~spl0_10|~spl0_12|~spl0_9),
% 0.15/0.44 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.15/0.44 fof(f158,plain,(
% 0.15/0.44 ~spl0_10|~spl0_12|~spl0_9),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f157])).
% 0.15/0.44 fof(f159,plain,(
% 0.15/0.44 ~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_6),
% 0.15/0.45 inference(resolution,[status(thm)],[f134,f94])).
% 0.15/0.45 fof(f160,plain,(
% 0.15/0.45 ~sk_c7=sk_c7|~spl0_7|~spl0_11|~spl0_6),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f102,f159])).
% 0.15/0.45 fof(f161,plain,(
% 0.15/0.45 $false|~spl0_7|~spl0_11|~spl0_6),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f160])).
% 0.15/0.45 fof(f162,plain,(
% 0.15/0.45 ~spl0_7|~spl0_11|~spl0_6),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f161])).
% 0.15/0.45 fof(f163,plain,(
% 0.15/0.45 spl0_15 <=> inverse(sk_c5)=sk_c7),
% 0.15/0.45 introduced(split_symbol_definition)).
% 0.15/0.45 fof(f165,plain,(
% 0.15/0.45 ~inverse(sk_c5)=sk_c7|spl0_15),
% 0.15/0.45 inference(component_clause,[status(thm)],[f163])).
% 0.15/0.45 fof(f166,plain,(
% 0.15/0.45 spl0_16 <=> sk_c7=sk_c7),
% 0.15/0.45 introduced(split_symbol_definition)).
% 0.15/0.45 fof(f168,plain,(
% 0.15/0.45 ~sk_c7=sk_c7|spl0_16),
% 0.15/0.45 inference(component_clause,[status(thm)],[f166])).
% 0.15/0.45 fof(f169,plain,(
% 0.15/0.45 ~inverse(sk_c5)=sk_c7|~sk_c7=sk_c7|~spl0_13|~spl0_8),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f110,f140])).
% 0.15/0.45 fof(f170,plain,(
% 0.15/0.45 ~spl0_15|~spl0_16|~spl0_13|~spl0_8),
% 0.15/0.45 inference(split_clause,[status(thm)],[f169,f163,f166,f139,f109])).
% 0.15/0.45 fof(f173,plain,(
% 0.15/0.45 $false|spl0_16),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f168])).
% 0.15/0.45 fof(f174,plain,(
% 0.15/0.45 spl0_16),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f173])).
% 0.15/0.45 fof(f178,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_8)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f110,f37])).
% 0.15/0.45 fof(f179,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_6)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f94,f37])).
% 0.15/0.45 fof(f181,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_5)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.15/0.45 fof(f211,plain,(
% 0.15/0.45 multiply(sk_c6,sk_c7)=identity|~spl0_0),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.15/0.45 fof(f212,plain,(
% 0.15/0.45 multiply(sk_c7,sk_c1)=identity|~spl0_7),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.15/0.45 fof(f213,plain,(
% 0.15/0.45 multiply(sk_c5,sk_c2)=identity|~spl0_10),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.15/0.45 fof(f214,plain,(
% 0.15/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.15/0.45 fof(f215,plain,(
% 0.15/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f214])).
% 0.15/0.45 fof(f216,plain,(
% 0.15/0.45 ~identity=sk_c5|~spl0_0|spl0_1),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f211,f75])).
% 0.15/0.45 fof(f218,plain,(
% 0.15/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f211,f37])).
% 0.15/0.45 fof(f219,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f218])).
% 0.15/0.45 fof(f223,plain,(
% 0.15/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f212,f37])).
% 0.15/0.45 fof(f224,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f223])).
% 0.15/0.45 fof(f240,plain,(
% 0.15/0.45 sk_c1=multiply(sk_c6,identity)|~spl0_0|~spl0_7),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f212,f219])).
% 0.15/0.45 fof(f245,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_0|~spl0_7)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f240,f37])).
% 0.15/0.45 fof(f246,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c6,X0)|~spl0_0|~spl0_7)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f245])).
% 0.15/0.45 fof(f247,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0|~spl0_7|~spl0_6)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f246,f179])).
% 0.15/0.45 fof(f248,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c6,X0)=X0|~spl0_0|~spl0_7|~spl0_6)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f219,f247])).
% 0.15/0.45 fof(f249,plain,(
% 0.15/0.45 multiply(sk_c6,sk_c7)=sk_c6|~spl0_0|~spl0_7|~spl0_6),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f246,f94])).
% 0.15/0.45 fof(f250,plain,(
% 0.15/0.45 identity=sk_c6|~spl0_0|~spl0_7|~spl0_6),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f211,f249])).
% 0.15/0.45 fof(f253,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_0|~spl0_7)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f246,f224])).
% 0.15/0.45 fof(f254,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_6|~spl0_0|~spl0_7)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f248,f253])).
% 0.15/0.45 fof(f255,plain,(
% 0.15/0.45 sk_c1=identity|~spl0_6|~spl0_0|~spl0_7),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f248,f240])).
% 0.15/0.45 fof(f256,plain,(
% 0.15/0.45 sk_c7=identity|~spl0_7|~spl0_6|~spl0_0),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f248,f211])).
% 0.15/0.45 fof(f272,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f248,f178])).
% 0.15/0.45 fof(f273,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(sk_c5,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f254,f272])).
% 0.15/0.45 fof(f303,plain,(
% 0.15/0.45 inverse(identity)=sk_c7|~spl0_6|~spl0_0|~spl0_7),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f255,f102])).
% 0.15/0.45 fof(f304,plain,(
% 0.15/0.45 inverse(identity)=identity|~spl0_6|~spl0_0|~spl0_7),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f256,f303])).
% 0.15/0.45 fof(f305,plain,(
% 0.15/0.45 ~inverse(sk_c5)=identity|~spl0_7|~spl0_6|~spl0_0|spl0_15),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f256,f165])).
% 0.15/0.45 fof(f309,plain,(
% 0.15/0.45 sk_c2=identity|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_10),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f273,f213])).
% 0.15/0.45 fof(f312,plain,(
% 0.15/0.45 inverse(identity)=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_10),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f309,f126])).
% 0.15/0.45 fof(f313,plain,(
% 0.15/0.45 identity=sk_c5|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_10),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f304,f312])).
% 0.15/0.45 fof(f314,plain,(
% 0.15/0.45 $false|spl0_1|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_10),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f313,f216])).
% 0.15/0.45 fof(f315,plain,(
% 0.15/0.45 spl0_1|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_10),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f314])).
% 0.15/0.45 fof(f323,plain,(
% 0.15/0.45 ~inverse(identity)=identity|~spl0_8|~spl0_10|~spl0_7|~spl0_6|~spl0_0|spl0_15),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f313,f305])).
% 0.15/0.45 fof(f324,plain,(
% 0.15/0.45 ~identity=identity|~spl0_8|~spl0_10|~spl0_7|~spl0_6|~spl0_0|spl0_15),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f304,f323])).
% 0.15/0.45 fof(f325,plain,(
% 0.15/0.45 $false|~spl0_8|~spl0_10|~spl0_7|~spl0_6|~spl0_0|spl0_15),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f324])).
% 0.15/0.45 fof(f326,plain,(
% 0.15/0.45 ~spl0_8|~spl0_10|~spl0_7|~spl0_6|~spl0_0|spl0_15),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f325])).
% 0.15/0.45 fof(f330,plain,(
% 0.15/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_0|~spl0_7|~spl0_6|~spl0_14)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f250,f143])).
% 0.15/0.45 fof(f331,plain,(
% 0.15/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f313,f330])).
% 0.15/0.45 fof(f332,plain,(
% 0.15/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f250,f331])).
% 0.15/0.45 fof(f341,plain,(
% 0.15/0.45 spl0_19 <=> sk_c6=sk_c6),
% 0.15/0.45 introduced(split_symbol_definition)).
% 0.15/0.45 fof(f343,plain,(
% 0.15/0.45 ~sk_c6=sk_c6|spl0_19),
% 0.15/0.45 inference(component_clause,[status(thm)],[f341])).
% 0.15/0.45 fof(f346,plain,(
% 0.15/0.45 sk_c5=identity|~spl0_1|~spl0_0),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f74,f211])).
% 0.15/0.45 fof(f351,plain,(
% 0.15/0.45 multiply(identity,sk_c6)=sk_c7|~spl0_1|~spl0_0|~spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f346,f110])).
% 0.15/0.45 fof(f352,plain,(
% 0.15/0.45 sk_c6=sk_c7|~spl0_1|~spl0_0|~spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f351])).
% 0.15/0.45 fof(f355,plain,(
% 0.15/0.45 multiply(sk_c4,identity)=sk_c6|~spl0_1|~spl0_0|~spl0_5),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f346,f90])).
% 0.15/0.45 fof(f389,plain,(
% 0.15/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_1|~spl0_0|~spl0_8|~spl0_11)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f352,f134])).
% 0.15/0.45 fof(f398,plain,(
% 0.15/0.45 $false|spl0_19),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f343])).
% 0.15/0.45 fof(f399,plain,(
% 0.15/0.45 spl0_19),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f398])).
% 0.15/0.45 fof(f421,plain,(
% 0.15/0.45 ~multiply(identity,sk_c6)=sk_c7|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f346,f111])).
% 0.15/0.45 fof(f422,plain,(
% 0.15/0.45 ~sk_c6=sk_c7|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f35,f421])).
% 0.15/0.45 fof(f423,plain,(
% 0.15/0.45 ~identity=sk_c7|~spl0_7|~spl0_6|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f250,f422])).
% 0.15/0.45 fof(f424,plain,(
% 0.15/0.45 ~identity=identity|~spl0_7|~spl0_6|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f256,f423])).
% 0.15/0.45 fof(f425,plain,(
% 0.15/0.45 $false|~spl0_7|~spl0_6|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f424])).
% 0.15/0.45 fof(f426,plain,(
% 0.15/0.45 ~spl0_7|~spl0_6|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f425])).
% 0.15/0.45 fof(f427,plain,(
% 0.15/0.45 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.15/0.45 fof(f428,plain,(
% 0.15/0.45 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f86,f36])).
% 0.15/0.45 fof(f429,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_3)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.15/0.45 fof(f432,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_1)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.15/0.45 fof(f470,plain,(
% 0.15/0.45 multiply(sk_c7,sk_c4)=multiply(sk_c3,identity)|~spl0_3|~spl0_4),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f428,f429])).
% 0.15/0.45 fof(f653,plain,(
% 0.15/0.45 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f215,f215])).
% 0.15/0.45 fof(f654,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f36,f215])).
% 0.15/0.45 fof(f655,plain,(
% 0.15/0.45 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f653,f654])).
% 0.15/0.45 fof(f668,plain,(
% 0.15/0.45 inverse(identity)=identity),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f655,f36])).
% 0.15/0.45 fof(f713,plain,(
% 0.15/0.45 sk_c3=multiply(inverse(sk_c7),identity)|~spl0_2),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f427,f215])).
% 0.15/0.45 fof(f714,plain,(
% 0.15/0.45 sk_c3=inverse(sk_c7)|~spl0_2),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f713])).
% 0.15/0.45 fof(f718,plain,(
% 0.15/0.45 ~sk_c3=sk_c6|~spl0_2|spl0_0),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f714,f72])).
% 0.15/0.45 fof(f729,plain,(
% 0.15/0.45 multiply(sk_c3,sk_c7)=identity|~spl0_2),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f714,f36])).
% 0.15/0.45 fof(f771,plain,(
% 0.15/0.45 multiply(sk_c7,sk_c4)=sk_c3|~spl0_3|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f470])).
% 0.15/0.45 fof(f776,plain,(
% 0.15/0.45 sk_c3=sk_c6|~spl0_2|~spl0_0),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f714,f71])).
% 0.15/0.45 fof(f777,plain,(
% 0.15/0.45 sk_c4=sk_c6|~spl0_1|~spl0_0|~spl0_5),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f355])).
% 0.15/0.45 fof(f813,plain,(
% 0.15/0.45 inverse(sk_c6)=sk_c7|~spl0_0|~spl0_2),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f776,f78])).
% 0.15/0.45 fof(f814,plain,(
% 0.15/0.45 multiply(sk_c6,sk_c6)=sk_c7|~spl0_2|~spl0_0|~spl0_3),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f776,f82])).
% 0.15/0.45 fof(f826,plain,(
% 0.15/0.45 multiply(sk_c6,sk_c6)=identity|~spl0_1|~spl0_0|~spl0_5|~spl0_4),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f777,f428])).
% 0.15/0.45 fof(f827,plain,(
% 0.15/0.45 sk_c7=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_0|~spl0_5|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f814,f826])).
% 0.15/0.45 fof(f828,plain,(
% 0.15/0.45 inverse(sk_c6)=sk_c6|~spl0_1|~spl0_0|~spl0_5|~spl0_4),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f777,f86])).
% 0.15/0.45 fof(f829,plain,(
% 0.15/0.45 sk_c7=sk_c6|~spl0_2|~spl0_1|~spl0_0|~spl0_5|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f813,f828])).
% 0.15/0.45 fof(f830,plain,(
% 0.15/0.45 identity=sk_c6|~spl0_3|~spl0_2|~spl0_1|~spl0_0|~spl0_5|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f827,f829])).
% 0.15/0.45 fof(f845,plain,(
% 0.15/0.45 ~sk_c6=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f827,f422])).
% 0.15/0.45 fof(f846,plain,(
% 0.15/0.45 ~identity=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f830,f845])).
% 0.15/0.45 fof(f847,plain,(
% 0.15/0.45 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f846])).
% 0.15/0.45 fof(f848,plain,(
% 0.15/0.45 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|spl0_8),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f847])).
% 0.15/0.45 fof(f852,plain,(
% 0.15/0.45 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f827,f389])).
% 0.15/0.45 fof(f853,plain,(
% 0.15/0.45 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f852])).
% 0.15/0.45 fof(f854,plain,(
% 0.15/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f827,f853])).
% 0.15/0.45 fof(f855,plain,(
% 0.15/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f827,f854])).
% 0.15/0.45 fof(f856,plain,(
% 0.15/0.45 ~inverse(identity)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11),
% 0.15/0.45 inference(destructive_equality_resolution,[status(esa)],[f855])).
% 0.15/0.45 fof(f857,plain,(
% 0.15/0.45 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f856,f668])).
% 0.15/0.45 fof(f858,plain,(
% 0.15/0.45 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_8|~spl0_11),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f857])).
% 0.15/0.45 fof(f1001,plain,(
% 0.15/0.45 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c5|~spl0_1|~spl0_0|~spl0_12)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f346,f137])).
% 0.15/0.45 fof(f1002,plain,(
% 0.15/0.45 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c5|~spl0_1|~spl0_0|~spl0_12)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f1001])).
% 0.15/0.45 fof(f1003,plain,(
% 0.15/0.45 ![X0]: (~X0=identity|~inverse(X0)=sk_c5|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_12)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f827,f1002])).
% 0.15/0.45 fof(f1004,plain,(
% 0.15/0.45 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_12)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f346,f1003])).
% 0.15/0.45 fof(f1005,plain,(
% 0.15/0.45 ~inverse(identity)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_12),
% 0.15/0.45 inference(destructive_equality_resolution,[status(esa)],[f1004])).
% 0.15/0.45 fof(f1006,plain,(
% 0.15/0.45 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_12),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1005,f668])).
% 0.15/0.45 fof(f1007,plain,(
% 0.15/0.45 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_0|~spl0_12),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f1006])).
% 0.15/0.45 fof(f1010,plain,(
% 0.15/0.45 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f332])).
% 0.15/0.45 fof(f1011,plain,(
% 0.15/0.45 ~inverse(identity)=identity|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14),
% 0.15/0.45 inference(destructive_equality_resolution,[status(esa)],[f1010])).
% 0.15/0.45 fof(f1012,plain,(
% 0.15/0.45 $false|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14),
% 0.15/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1011,f668])).
% 0.15/0.45 fof(f1013,plain,(
% 0.15/0.45 ~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_14),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f1012])).
% 0.15/0.45 fof(f1023,plain,(
% 0.15/0.45 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f74,f215])).
% 0.15/0.45 fof(f1045,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c6),multiply(sk_c5,X0))|~spl0_1)),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f432,f215])).
% 0.15/0.45 fof(f1071,plain,(
% 0.15/0.45 sk_c4=multiply(inverse(sk_c6),identity)|~spl0_4),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f428,f215])).
% 0.15/0.45 fof(f1072,plain,(
% 0.15/0.45 sk_c4=inverse(sk_c6)|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f655,f1071])).
% 0.15/0.45 fof(f1075,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_4|~spl0_1)),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1072,f1045])).
% 0.15/0.45 fof(f1076,plain,(
% 0.15/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,X0)|~spl0_5|~spl0_4|~spl0_1)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f181,f1075])).
% 0.15/0.45 fof(f1077,plain,(
% 0.15/0.45 sk_c7=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_1),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1072,f1023])).
% 0.15/0.45 fof(f1078,plain,(
% 0.15/0.45 sk_c7=sk_c6|~spl0_5|~spl0_4|~spl0_1),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f90,f1077])).
% 0.15/0.45 fof(f1079,plain,(
% 0.15/0.45 multiply(sk_c7,sk_c4)=identity|~spl0_5|~spl0_1|~spl0_4),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1076,f428])).
% 0.15/0.45 fof(f1080,plain,(
% 0.15/0.45 sk_c3=identity|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f771,f1079])).
% 0.15/0.45 fof(f1116,plain,(
% 0.15/0.45 multiply(sk_c3,sk_c7)=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1078,f82])).
% 0.15/0.45 fof(f1117,plain,(
% 0.15/0.45 identity=sk_c7|~spl0_2|~spl0_5|~spl0_4|~spl0_1|~spl0_3),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f729,f1116])).
% 0.15/0.45 fof(f1118,plain,(
% 0.15/0.45 ~sk_c3=sk_c7|~spl0_5|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1078,f718])).
% 0.15/0.45 fof(f1119,plain,(
% 0.15/0.45 ~identity=sk_c7|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f1080,f1118])).
% 0.15/0.45 fof(f1120,plain,(
% 0.15/0.45 ~identity=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f1117,f1119])).
% 0.15/0.45 fof(f1121,plain,(
% 0.15/0.45 $false|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.15/0.45 inference(trivial_equality_resolution,[status(esa)],[f1120])).
% 0.15/0.45 fof(f1122,plain,(
% 0.15/0.45 ~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2|spl0_0),
% 0.15/0.45 inference(contradiction_clause,[status(thm)],[f1121])).
% 0.15/0.45 fof(f1123,plain,(
% 0.15/0.45 $false),
% 0.15/0.45 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f149,f154,f158,f162,f170,f174,f315,f326,f399,f426,f848,f858,f1007,f1013,f1122])).
% 0.15/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.119183 seconds
% 0.15/0.47 % CPU time: 0.458543 seconds
% 0.15/0.47 % Memory used: 61.176 MB
%------------------------------------------------------------------------------