TSTP Solution File: GRP355-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP355-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:20:11 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP355-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:03:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.43 fof(f1,axiom,(
% 0.21/0.43 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f2,axiom,(
% 0.21/0.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f3,axiom,(
% 0.21/0.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f4,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f5,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f6,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f7,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f8,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f9,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f10,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f11,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f12,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f13,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f14,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f15,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f16,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f17,negated_conjecture,(
% 0.21/0.43 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f18,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f19,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f20,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f21,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f22,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c6 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f23,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f24,negated_conjecture,(
% 0.21/0.43 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f25,negated_conjecture,(
% 0.21/0.43 (![X2,X1,X3,X4,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| multiply(sk_c8,X4) != sk_c6| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8 ) ))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.43 fof(f26,plain,(
% 0.21/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.43 fof(f27,plain,(
% 0.21/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.43 fof(f28,plain,(
% 0.21/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.43 fof(f29,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.43 fof(f30,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c2)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.43 fof(f31,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.43 fof(f32,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.43 fof(f33,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.43 fof(f34,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.43 fof(f35,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.43 fof(f36,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.43 fof(f37,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.43 fof(f38,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.43 fof(f39,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.43 fof(f40,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.43 fof(f41,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.43 fof(f42,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.43 fof(f43,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.43 fof(f44,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.43 fof(f45,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.43 fof(f46,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.43 fof(f47,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.43 fof(f48,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.43 fof(f49,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.43 fof(f50,plain,(
% 0.21/0.43 ![X5]: ((![X4]: (((![X3]: (((![X1]: (((![X2]: ((~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~multiply(sk_c8,X4)=sk_c6)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8)),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f25])).
% 0.21/0.43 fof(f51,plain,(
% 0.21/0.43 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~multiply(sk_c8,X3)=sk_c6|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.43 fof(f52,plain,(
% 0.21/0.43 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f53,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c6)=sk_c8|~spl0_0),
% 0.21/0.43 inference(component_clause,[status(thm)],[f52])).
% 0.21/0.43 fof(f54,plain,(
% 0.21/0.43 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_0),
% 0.21/0.43 inference(component_clause,[status(thm)],[f52])).
% 0.21/0.43 fof(f55,plain,(
% 0.21/0.43 spl0_1 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f56,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c8)=sk_c7|~spl0_1),
% 0.21/0.43 inference(component_clause,[status(thm)],[f55])).
% 0.21/0.43 fof(f58,plain,(
% 0.21/0.43 spl0_0|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f29,f52,f55])).
% 0.21/0.43 fof(f59,plain,(
% 0.21/0.43 spl0_2 <=> inverse(sk_c2)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f60,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c8|~spl0_2),
% 0.21/0.43 inference(component_clause,[status(thm)],[f59])).
% 0.21/0.43 fof(f62,plain,(
% 0.21/0.43 spl0_0|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f30,f52,f59])).
% 0.21/0.43 fof(f63,plain,(
% 0.21/0.43 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f64,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.21/0.43 inference(component_clause,[status(thm)],[f63])).
% 0.21/0.43 fof(f66,plain,(
% 0.21/0.43 spl0_0|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f31,f52,f63])).
% 0.21/0.43 fof(f67,plain,(
% 0.21/0.43 spl0_4 <=> inverse(sk_c3)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f68,plain,(
% 0.21/0.43 inverse(sk_c3)=sk_c6|~spl0_4),
% 0.21/0.43 inference(component_clause,[status(thm)],[f67])).
% 0.21/0.43 fof(f70,plain,(
% 0.21/0.43 spl0_0|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f32,f52,f67])).
% 0.21/0.43 fof(f71,plain,(
% 0.21/0.43 spl0_5 <=> multiply(sk_c8,sk_c5)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f72,plain,(
% 0.21/0.43 multiply(sk_c8,sk_c5)=sk_c6|~spl0_5),
% 0.21/0.43 inference(component_clause,[status(thm)],[f71])).
% 0.21/0.43 fof(f74,plain,(
% 0.21/0.43 spl0_0|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f33,f52,f71])).
% 0.21/0.43 fof(f75,plain,(
% 0.21/0.43 spl0_6 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f76,plain,(
% 0.21/0.43 multiply(sk_c4,sk_c8)=sk_c5|~spl0_6),
% 0.21/0.43 inference(component_clause,[status(thm)],[f75])).
% 0.21/0.43 fof(f78,plain,(
% 0.21/0.43 spl0_0|spl0_6),
% 0.21/0.43 inference(split_clause,[status(thm)],[f34,f52,f75])).
% 0.21/0.43 fof(f79,plain,(
% 0.21/0.43 spl0_7 <=> inverse(sk_c4)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f80,plain,(
% 0.21/0.43 inverse(sk_c4)=sk_c8|~spl0_7),
% 0.21/0.43 inference(component_clause,[status(thm)],[f79])).
% 0.21/0.43 fof(f82,plain,(
% 0.21/0.43 spl0_0|spl0_7),
% 0.21/0.43 inference(split_clause,[status(thm)],[f35,f52,f79])).
% 0.21/0.43 fof(f83,plain,(
% 0.21/0.43 spl0_8 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f84,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c8)=sk_c7|~spl0_8),
% 0.21/0.43 inference(component_clause,[status(thm)],[f83])).
% 0.21/0.43 fof(f86,plain,(
% 0.21/0.43 spl0_8|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f36,f83,f55])).
% 0.21/0.43 fof(f87,plain,(
% 0.21/0.43 spl0_8|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f37,f83,f59])).
% 0.21/0.43 fof(f88,plain,(
% 0.21/0.43 spl0_8|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.21/0.43 fof(f89,plain,(
% 0.21/0.43 spl0_8|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.21/0.43 fof(f90,plain,(
% 0.21/0.43 spl0_8|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.21/0.43 fof(f91,plain,(
% 0.21/0.43 spl0_8|spl0_6),
% 0.21/0.43 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.21/0.43 fof(f92,plain,(
% 0.21/0.43 spl0_8|spl0_7),
% 0.21/0.43 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.21/0.43 fof(f93,plain,(
% 0.21/0.43 spl0_9 <=> inverse(sk_c1)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f94,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c8|~spl0_9),
% 0.21/0.43 inference(component_clause,[status(thm)],[f93])).
% 0.21/0.43 fof(f96,plain,(
% 0.21/0.43 spl0_9|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f43,f93,f55])).
% 0.21/0.43 fof(f97,plain,(
% 0.21/0.43 spl0_9|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f44,f93,f59])).
% 0.21/0.43 fof(f98,plain,(
% 0.21/0.43 spl0_9|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f45,f93,f63])).
% 0.21/0.43 fof(f99,plain,(
% 0.21/0.43 spl0_9|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f46,f93,f67])).
% 0.21/0.43 fof(f100,plain,(
% 0.21/0.43 spl0_9|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f47,f93,f71])).
% 0.21/0.43 fof(f101,plain,(
% 0.21/0.43 spl0_9|spl0_6),
% 0.21/0.43 inference(split_clause,[status(thm)],[f48,f93,f75])).
% 0.21/0.43 fof(f102,plain,(
% 0.21/0.43 spl0_9|spl0_7),
% 0.21/0.43 inference(split_clause,[status(thm)],[f49,f93,f79])).
% 0.21/0.43 fof(f103,plain,(
% 0.21/0.43 spl0_10 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f104,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_10)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.43 fof(f106,plain,(
% 0.21/0.43 spl0_11 <=> ~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f107,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f106])).
% 0.21/0.43 fof(f109,plain,(
% 0.21/0.43 spl0_12 <=> ~multiply(sk_c8,X3)=sk_c6|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f110,plain,(
% 0.21/0.43 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c6|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_12)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f109])).
% 0.21/0.43 fof(f112,plain,(
% 0.21/0.43 ~spl0_0|spl0_10|spl0_11|spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f51,f52,f103,f106,f109])).
% 0.21/0.43 fof(f113,plain,(
% 0.21/0.43 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c6|~inverse(X0)=sk_c8|~spl0_12)),
% 0.21/0.43 inference(destructive_equality_resolution,[status(esa)],[f110])).
% 0.21/0.43 fof(f118,plain,(
% 0.21/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.21/0.43 fof(f119,plain,(
% 0.21/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f26,f118])).
% 0.21/0.43 fof(f120,plain,(
% 0.21/0.43 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f119,f119])).
% 0.21/0.43 fof(f121,plain,(
% 0.21/0.43 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f119])).
% 0.21/0.43 fof(f123,plain,(
% 0.21/0.43 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f28,f119])).
% 0.21/0.43 fof(f130,plain,(
% 0.21/0.43 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f119,f120])).
% 0.21/0.43 fof(f131,plain,(
% 0.21/0.43 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f120])).
% 0.21/0.43 fof(f140,plain,(
% 0.21/0.43 inverse(identity)=identity),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f131])).
% 0.21/0.43 fof(f159,plain,(
% 0.21/0.43 ![X0]: (X0=multiply(X0,identity))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f120,f121])).
% 0.21/0.43 fof(f160,plain,(
% 0.21/0.43 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f120,f159])).
% 0.21/0.43 fof(f161,plain,(
% 0.21/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f159,f160])).
% 0.21/0.43 fof(f212,plain,(
% 0.21/0.43 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f131,f123])).
% 0.21/0.43 fof(f213,plain,(
% 0.21/0.43 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f159,f212])).
% 0.21/0.43 fof(f592,plain,(
% 0.21/0.43 multiply(sk_c4,sk_c8)=identity|~spl0_7),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f80,f131])).
% 0.21/0.43 fof(f597,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c6)=identity|~spl0_4),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f68,f131])).
% 0.21/0.43 fof(f601,plain,(
% 0.21/0.43 inverse(sk_c8)=sk_c2|~spl0_2),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f60,f161])).
% 0.21/0.43 fof(f618,plain,(
% 0.21/0.43 sk_c8=multiply(inverse(sk_c1),sk_c7)|~spl0_8),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f84,f119])).
% 0.21/0.43 fof(f619,plain,(
% 0.21/0.43 sk_c8=multiply(sk_c8,sk_c7)|~spl0_9|~spl0_8),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f94,f618])).
% 0.21/0.43 fof(f689,plain,(
% 0.21/0.43 spl0_13 <=> sk_c8=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f691,plain,(
% 0.21/0.43 ~sk_c8=sk_c6|spl0_13),
% 0.21/0.43 inference(component_clause,[status(thm)],[f689])).
% 0.21/0.43 fof(f692,plain,(
% 0.21/0.43 spl0_14 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f694,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c8))=sk_c8|spl0_14),
% 0.21/0.43 inference(component_clause,[status(thm)],[f692])).
% 0.21/0.43 fof(f695,plain,(
% 0.21/0.43 ~sk_c8=sk_c6|~inverse(inverse(sk_c8))=sk_c8|~spl0_12),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f130,f113])).
% 0.21/0.43 fof(f696,plain,(
% 0.21/0.43 ~spl0_13|~spl0_14|~spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f695,f689,f692,f109])).
% 0.21/0.43 fof(f699,plain,(
% 0.21/0.43 spl0_15 <=> multiply(sk_c8,identity)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f702,plain,(
% 0.21/0.43 ~multiply(sk_c8,identity)=sk_c6|~inverse(inverse(sk_c8))=sk_c8|~spl0_12),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f113])).
% 0.21/0.43 fof(f703,plain,(
% 0.21/0.43 ~spl0_15|~spl0_14|~spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f702,f699,f692,f109])).
% 0.21/0.43 fof(f704,plain,(
% 0.21/0.43 spl0_16 <=> multiply(sk_c8,sk_c8)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f707,plain,(
% 0.21/0.43 spl0_17 <=> inverse(identity)=sk_c8),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f710,plain,(
% 0.21/0.43 ~multiply(sk_c8,sk_c8)=sk_c6|~inverse(identity)=sk_c8|~spl0_12),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f113])).
% 0.21/0.43 fof(f711,plain,(
% 0.21/0.43 ~spl0_16|~spl0_17|~spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f710,f704,f707,f109])).
% 0.21/0.43 fof(f715,plain,(
% 0.21/0.43 ~sk_c8=sk_c8|spl0_14),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f161,f694])).
% 0.21/0.43 fof(f716,plain,(
% 0.21/0.43 $false|spl0_14),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f715])).
% 0.21/0.43 fof(f717,plain,(
% 0.21/0.43 spl0_14),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f716])).
% 0.21/0.43 fof(f778,plain,(
% 0.21/0.43 inverse(sk_c8)=multiply(inverse(identity),sk_c4)|~spl0_7),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f592,f213])).
% 0.21/0.43 fof(f833,plain,(
% 0.21/0.43 spl0_18 <=> identity=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f835,plain,(
% 0.21/0.43 ~identity=sk_c7|spl0_18),
% 0.21/0.43 inference(component_clause,[status(thm)],[f833])).
% 0.21/0.43 fof(f840,plain,(
% 0.21/0.43 spl0_19 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f842,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c6))=sk_c6|spl0_19),
% 0.21/0.43 inference(component_clause,[status(thm)],[f840])).
% 0.21/0.43 fof(f843,plain,(
% 0.21/0.43 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~spl0_11),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f107])).
% 0.21/0.43 fof(f844,plain,(
% 0.21/0.43 ~spl0_18|~spl0_19|~spl0_11),
% 0.21/0.43 inference(split_clause,[status(thm)],[f843,f833,f840,f106])).
% 0.21/0.43 fof(f855,plain,(
% 0.21/0.43 ~sk_c6=sk_c6|spl0_19),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f161,f842])).
% 0.21/0.43 fof(f856,plain,(
% 0.21/0.43 $false|spl0_19),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f855])).
% 0.21/0.43 fof(f857,plain,(
% 0.21/0.43 spl0_19),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f856])).
% 0.21/0.43 fof(f862,plain,(
% 0.21/0.43 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_10),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f27,f104])).
% 0.21/0.43 fof(f863,plain,(
% 0.21/0.43 ~spl0_18|~spl0_14|~spl0_10),
% 0.21/0.43 inference(split_clause,[status(thm)],[f862,f833,f692,f103])).
% 0.21/0.43 fof(f1708,plain,(
% 0.21/0.43 identity=sk_c7|~spl0_4|~spl0_3),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f597,f64])).
% 0.21/0.43 fof(f1709,plain,(
% 0.21/0.43 $false|spl0_18|~spl0_4|~spl0_3),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1708,f835])).
% 0.21/0.43 fof(f1710,plain,(
% 0.21/0.43 spl0_18|~spl0_4|~spl0_3),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1709])).
% 0.21/0.43 fof(f1771,plain,(
% 0.21/0.43 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_9|~spl0_8),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f619,f119])).
% 0.21/0.43 fof(f1772,plain,(
% 0.21/0.43 sk_c7=identity|~spl0_9|~spl0_8),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f27,f1771])).
% 0.21/0.43 fof(f1773,plain,(
% 0.21/0.43 $false|spl0_18|~spl0_9|~spl0_8),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1772,f835])).
% 0.21/0.43 fof(f1774,plain,(
% 0.21/0.43 spl0_18|~spl0_9|~spl0_8),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1773])).
% 0.21/0.43 fof(f1775,plain,(
% 0.21/0.43 sk_c2=multiply(inverse(identity),sk_c4)|~spl0_2|~spl0_7),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f601,f778])).
% 0.21/0.43 fof(f1776,plain,(
% 0.21/0.43 sk_c2=multiply(identity,sk_c4)|~spl0_2|~spl0_7),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f140,f1775])).
% 0.21/0.43 fof(f1777,plain,(
% 0.21/0.43 sk_c2=sk_c4|~spl0_2|~spl0_7),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f26,f1776])).
% 0.21/0.43 fof(f1808,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c8)=identity|~spl0_4|~spl0_3|~spl0_1),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1708,f56])).
% 0.21/0.43 fof(f1847,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c8)=sk_c5|~spl0_2|~spl0_7|~spl0_6),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1777,f76])).
% 0.21/0.43 fof(f1848,plain,(
% 0.21/0.43 identity=sk_c5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_7|~spl0_6),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1808,f1847])).
% 0.21/0.43 fof(f1849,plain,(
% 0.21/0.43 multiply(sk_c8,identity)=sk_c6|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.43 inference(backward_demodulation,[status(thm)],[f1848,f72])).
% 0.21/0.43 fof(f1850,plain,(
% 0.21/0.43 sk_c8=sk_c6|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f159,f1849])).
% 0.21/0.43 fof(f1851,plain,(
% 0.21/0.43 $false|spl0_13|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1850,f691])).
% 0.21/0.43 fof(f1852,plain,(
% 0.21/0.43 spl0_13|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f1851])).
% 0.21/0.44 fof(f1859,plain,(
% 0.21/0.44 ~multiply(identity,sk_c6)=sk_c8|~spl0_4|~spl0_3|spl0_0),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f1708,f54])).
% 0.21/0.44 fof(f1860,plain,(
% 0.21/0.44 ~sk_c6=sk_c8|~spl0_4|~spl0_3|spl0_0),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f26,f1859])).
% 0.21/0.44 fof(f1861,plain,(
% 0.21/0.44 ~sk_c6=sk_c6|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f1850,f1860])).
% 0.21/0.44 fof(f1862,plain,(
% 0.21/0.44 $false|~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.21/0.44 inference(trivial_equality_resolution,[status(esa)],[f1861])).
% 0.21/0.44 fof(f1863,plain,(
% 0.21/0.44 ~spl0_1|~spl0_2|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f1862])).
% 0.21/0.44 fof(f2589,plain,(
% 0.21/0.44 multiply(identity,sk_c6)=sk_c8|~spl0_9|~spl0_8|~spl0_0),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f1772,f53])).
% 0.21/0.44 fof(f2590,plain,(
% 0.21/0.44 sk_c6=sk_c8|~spl0_9|~spl0_8|~spl0_0),
% 0.21/0.44 inference(forward_demodulation,[status(thm)],[f26,f2589])).
% 0.21/0.44 fof(f2591,plain,(
% 0.21/0.44 $false|spl0_13|~spl0_9|~spl0_8|~spl0_0),
% 0.21/0.44 inference(forward_subsumption_resolution,[status(thm)],[f2590,f691])).
% 0.21/0.44 fof(f2592,plain,(
% 0.21/0.44 spl0_13|~spl0_9|~spl0_8|~spl0_0),
% 0.21/0.44 inference(contradiction_clause,[status(thm)],[f2591])).
% 0.21/0.44 fof(f2593,plain,(
% 0.21/0.44 $false),
% 0.21/0.44 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f91,f92,f96,f97,f98,f99,f100,f101,f102,f112,f696,f703,f711,f717,f844,f857,f863,f1710,f1774,f1852,f1863,f2592])).
% 0.21/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.45 % Elapsed time: 0.096048 seconds
% 0.21/0.45 % CPU time: 0.645350 seconds
% 0.21/0.45 % Total memory used: 70.723 MB
% 0.21/0.45 % Net memory used: 70.155 MB
%------------------------------------------------------------------------------