TSTP Solution File: GRP215-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP215-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:45 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP215-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:17:36 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.42 fof(f1,axiom,(
% 0.21/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f2,axiom,(
% 0.21/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f3,axiom,(
% 0.21/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f4,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f5,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f6,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f7,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f8,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f9,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f10,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f11,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f12,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f13,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f14,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f15,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f16,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f17,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f18,negated_conjecture,(
% 0.21/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f19,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f20,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f21,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f22,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f23,negated_conjecture,(
% 0.21/0.42 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f24,negated_conjecture,(
% 0.21/0.42 (![X3,X4,X1,X2,X5]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(sk_c7,X2) != sk_c6| multiply(X5,sk_c7) != X2| inverse(X5) != sk_c7 ) ))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.42 fof(f25,plain,(
% 0.21/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.42 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.43 fof(f26,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(f27,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(f28,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.43 fof(f29,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.43 fof(f30,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.43 fof(f31,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.43 fof(f32,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.43 fof(f33,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.43 fof(f34,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.43 fof(f35,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.43 fof(f36,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.43 fof(f37,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.43 fof(f38,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.43 fof(f39,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.43 fof(f40,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.43 fof(f41,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.43 fof(f42,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.43 fof(f43,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.43 fof(f44,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.43 fof(f45,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.43 fof(f46,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.43 fof(f47,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.43 fof(f48,plain,(
% 0.21/0.43 ![X5]: ((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(sk_c7,X2)=sk_c6)|~multiply(X5,sk_c7)=X2))|~inverse(X5)=sk_c7)),
% 0.21/0.43 inference(miniscoping,[status(esa)],[f24])).
% 0.21/0.43 fof(f49,plain,(
% 0.21/0.43 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7)),
% 0.21/0.43 inference(cnf_transformation,[status(esa)],[f48])).
% 0.21/0.43 fof(f50,plain,(
% 0.21/0.43 spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f51,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 0.21/0.43 inference(component_clause,[status(thm)],[f50])).
% 0.21/0.43 fof(f53,plain,(
% 0.21/0.43 spl0_1 <=> inverse(sk_c3)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f54,plain,(
% 0.21/0.43 inverse(sk_c3)=sk_c7|~spl0_1),
% 0.21/0.43 inference(component_clause,[status(thm)],[f53])).
% 0.21/0.43 fof(f56,plain,(
% 0.21/0.43 spl0_0|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.21/0.43 fof(f57,plain,(
% 0.21/0.43 spl0_2 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f58,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c6)=sk_c7|~spl0_2),
% 0.21/0.43 inference(component_clause,[status(thm)],[f57])).
% 0.21/0.43 fof(f60,plain,(
% 0.21/0.43 spl0_0|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.21/0.43 fof(f61,plain,(
% 0.21/0.43 spl0_3 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f62,plain,(
% 0.21/0.43 multiply(sk_c7,sk_c5)=sk_c6|~spl0_3),
% 0.21/0.43 inference(component_clause,[status(thm)],[f61])).
% 0.21/0.43 fof(f64,plain,(
% 0.21/0.43 spl0_0|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.21/0.43 fof(f65,plain,(
% 0.21/0.43 spl0_4 <=> multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f66,plain,(
% 0.21/0.43 multiply(sk_c4,sk_c7)=sk_c5|~spl0_4),
% 0.21/0.43 inference(component_clause,[status(thm)],[f65])).
% 0.21/0.43 fof(f68,plain,(
% 0.21/0.43 spl0_0|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.21/0.43 fof(f69,plain,(
% 0.21/0.43 spl0_5 <=> inverse(sk_c4)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f70,plain,(
% 0.21/0.43 inverse(sk_c4)=sk_c7|~spl0_5),
% 0.21/0.43 inference(component_clause,[status(thm)],[f69])).
% 0.21/0.43 fof(f72,plain,(
% 0.21/0.43 spl0_0|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f32,f50,f69])).
% 0.21/0.43 fof(f73,plain,(
% 0.21/0.43 spl0_6 <=> inverse(sk_c1)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f74,plain,(
% 0.21/0.43 inverse(sk_c1)=sk_c7|~spl0_6),
% 0.21/0.43 inference(component_clause,[status(thm)],[f73])).
% 0.21/0.43 fof(f76,plain,(
% 0.21/0.43 spl0_6|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f33,f73,f53])).
% 0.21/0.43 fof(f77,plain,(
% 0.21/0.43 spl0_6|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f34,f73,f57])).
% 0.21/0.43 fof(f78,plain,(
% 0.21/0.43 spl0_6|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f35,f73,f61])).
% 0.21/0.43 fof(f79,plain,(
% 0.21/0.43 spl0_6|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f36,f73,f65])).
% 0.21/0.43 fof(f80,plain,(
% 0.21/0.43 spl0_6|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f37,f73,f69])).
% 0.21/0.43 fof(f81,plain,(
% 0.21/0.43 spl0_7 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f82,plain,(
% 0.21/0.43 multiply(sk_c2,sk_c6)=sk_c7|~spl0_7),
% 0.21/0.43 inference(component_clause,[status(thm)],[f81])).
% 0.21/0.43 fof(f84,plain,(
% 0.21/0.43 spl0_7|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f38,f81,f53])).
% 0.21/0.43 fof(f85,plain,(
% 0.21/0.43 spl0_7|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f39,f81,f57])).
% 0.21/0.43 fof(f86,plain,(
% 0.21/0.43 spl0_7|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f40,f81,f61])).
% 0.21/0.43 fof(f87,plain,(
% 0.21/0.43 spl0_7|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f41,f81,f65])).
% 0.21/0.43 fof(f88,plain,(
% 0.21/0.43 spl0_7|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f42,f81,f69])).
% 0.21/0.43 fof(f89,plain,(
% 0.21/0.43 spl0_8 <=> inverse(sk_c2)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f90,plain,(
% 0.21/0.43 inverse(sk_c2)=sk_c6|~spl0_8),
% 0.21/0.43 inference(component_clause,[status(thm)],[f89])).
% 0.21/0.43 fof(f92,plain,(
% 0.21/0.43 spl0_8|spl0_1),
% 0.21/0.43 inference(split_clause,[status(thm)],[f43,f89,f53])).
% 0.21/0.43 fof(f93,plain,(
% 0.21/0.43 spl0_8|spl0_2),
% 0.21/0.43 inference(split_clause,[status(thm)],[f44,f89,f57])).
% 0.21/0.43 fof(f94,plain,(
% 0.21/0.43 spl0_8|spl0_3),
% 0.21/0.43 inference(split_clause,[status(thm)],[f45,f89,f61])).
% 0.21/0.43 fof(f95,plain,(
% 0.21/0.43 spl0_8|spl0_4),
% 0.21/0.43 inference(split_clause,[status(thm)],[f46,f89,f65])).
% 0.21/0.43 fof(f96,plain,(
% 0.21/0.43 spl0_8|spl0_5),
% 0.21/0.43 inference(split_clause,[status(thm)],[f47,f89,f69])).
% 0.21/0.43 fof(f97,plain,(
% 0.21/0.43 spl0_9 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f98,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_9)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f97])).
% 0.21/0.43 fof(f100,plain,(
% 0.21/0.43 spl0_10 <=> ~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f101,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_10)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f100])).
% 0.21/0.43 fof(f103,plain,(
% 0.21/0.43 spl0_11 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f104,plain,(
% 0.21/0.43 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.43 fof(f106,plain,(
% 0.21/0.43 spl0_12 <=> ~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f107,plain,(
% 0.21/0.43 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_12)),
% 0.21/0.43 inference(component_clause,[status(thm)],[f106])).
% 0.21/0.43 fof(f109,plain,(
% 0.21/0.43 spl0_9|spl0_10|spl0_11|spl0_12),
% 0.21/0.43 inference(split_clause,[status(thm)],[f49,f97,f100,f103,f106])).
% 0.21/0.43 fof(f110,plain,(
% 0.21/0.43 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.21/0.43 inference(destructive_equality_resolution,[status(esa)],[f107])).
% 0.21/0.43 fof(f115,plain,(
% 0.21/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.21/0.43 fof(f116,plain,(
% 0.21/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f25,f115])).
% 0.21/0.43 fof(f117,plain,(
% 0.21/0.43 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f116,f116])).
% 0.21/0.43 fof(f118,plain,(
% 0.21/0.43 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f116])).
% 0.21/0.43 fof(f128,plain,(
% 0.21/0.43 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f117])).
% 0.21/0.43 fof(f137,plain,(
% 0.21/0.43 inverse(identity)=identity),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f25,f128])).
% 0.21/0.43 fof(f156,plain,(
% 0.21/0.43 ![X0]: (X0=multiply(X0,identity))),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f117,f118])).
% 0.21/0.43 fof(f157,plain,(
% 0.21/0.43 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f117,f156])).
% 0.21/0.43 fof(f158,plain,(
% 0.21/0.43 ![X0]: (inverse(inverse(X0))=X0)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f156,f157])).
% 0.21/0.43 fof(f588,plain,(
% 0.21/0.43 inverse(sk_c7)=sk_c1|~spl0_6),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f74,f158])).
% 0.21/0.43 fof(f598,plain,(
% 0.21/0.43 inverse(sk_c7)=sk_c3|~spl0_1),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f54,f158])).
% 0.21/0.43 fof(f599,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c7)=identity|~spl0_1),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f54,f128])).
% 0.21/0.43 fof(f615,plain,(
% 0.21/0.43 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_7),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f82,f116])).
% 0.21/0.43 fof(f616,plain,(
% 0.21/0.43 sk_c6=multiply(sk_c6,sk_c7)|~spl0_8|~spl0_7),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f90,f615])).
% 0.21/0.43 fof(f622,plain,(
% 0.21/0.43 multiply(sk_c1,sk_c7)=identity|~spl0_6),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f588,f26])).
% 0.21/0.43 fof(f787,plain,(
% 0.21/0.43 spl0_14 <=> identity=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f789,plain,(
% 0.21/0.43 ~identity=sk_c7|spl0_14),
% 0.21/0.43 inference(component_clause,[status(thm)],[f787])).
% 0.21/0.43 fof(f794,plain,(
% 0.21/0.43 spl0_15 <=> inverse(inverse(sk_c6))=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f796,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c6))=sk_c7|spl0_15),
% 0.21/0.43 inference(component_clause,[status(thm)],[f794])).
% 0.21/0.43 fof(f797,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~spl0_11),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f104])).
% 0.21/0.43 fof(f798,plain,(
% 0.21/0.43 ~spl0_15|~spl0_14|~spl0_11),
% 0.21/0.43 inference(split_clause,[status(thm)],[f797,f794,f787,f103])).
% 0.21/0.43 fof(f799,plain,(
% 0.21/0.43 spl0_16 <=> inverse(identity)=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f800,plain,(
% 0.21/0.43 inverse(identity)=sk_c7|~spl0_16),
% 0.21/0.43 inference(component_clause,[status(thm)],[f799])).
% 0.21/0.43 fof(f801,plain,(
% 0.21/0.43 ~inverse(identity)=sk_c7|spl0_16),
% 0.21/0.43 inference(component_clause,[status(thm)],[f799])).
% 0.21/0.43 fof(f802,plain,(
% 0.21/0.43 spl0_17 <=> sk_c6=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f803,plain,(
% 0.21/0.43 sk_c6=sk_c7|~spl0_17),
% 0.21/0.43 inference(component_clause,[status(thm)],[f802])).
% 0.21/0.43 fof(f804,plain,(
% 0.21/0.43 ~sk_c6=sk_c7|spl0_17),
% 0.21/0.43 inference(component_clause,[status(thm)],[f802])).
% 0.21/0.43 fof(f805,plain,(
% 0.21/0.43 ~inverse(identity)=sk_c7|~sk_c6=sk_c7|~spl0_11),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f25,f104])).
% 0.21/0.43 fof(f806,plain,(
% 0.21/0.43 ~spl0_16|~spl0_17|~spl0_11),
% 0.21/0.43 inference(split_clause,[status(thm)],[f805,f799,f802,f103])).
% 0.21/0.43 fof(f808,plain,(
% 0.21/0.43 ~identity=sk_c7|spl0_16),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f137,f801])).
% 0.21/0.43 fof(f809,plain,(
% 0.21/0.43 ~sk_c6=sk_c7|spl0_15),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f158,f796])).
% 0.21/0.43 fof(f815,plain,(
% 0.21/0.43 spl0_18 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f817,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c6))=sk_c6|spl0_18),
% 0.21/0.43 inference(component_clause,[status(thm)],[f815])).
% 0.21/0.43 fof(f818,plain,(
% 0.21/0.43 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~spl0_10),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f101])).
% 0.21/0.43 fof(f819,plain,(
% 0.21/0.43 ~spl0_14|~spl0_18|~spl0_10),
% 0.21/0.43 inference(split_clause,[status(thm)],[f818,f787,f815,f100])).
% 0.21/0.43 fof(f820,plain,(
% 0.21/0.43 spl0_19 <=> inverse(identity)=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f822,plain,(
% 0.21/0.43 ~inverse(identity)=sk_c6|spl0_19),
% 0.21/0.43 inference(component_clause,[status(thm)],[f820])).
% 0.21/0.43 fof(f826,plain,(
% 0.21/0.43 ~identity=sk_c6|spl0_19),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f137,f822])).
% 0.21/0.43 fof(f827,plain,(
% 0.21/0.43 ~sk_c6=sk_c6|spl0_18),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f158,f817])).
% 0.21/0.43 fof(f828,plain,(
% 0.21/0.43 $false|spl0_18),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f827])).
% 0.21/0.43 fof(f829,plain,(
% 0.21/0.43 spl0_18),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f828])).
% 0.21/0.43 fof(f830,plain,(
% 0.21/0.43 spl0_20 <=> identity=sk_c6),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f832,plain,(
% 0.21/0.43 ~identity=sk_c6|spl0_20),
% 0.21/0.43 inference(component_clause,[status(thm)],[f830])).
% 0.21/0.43 fof(f837,plain,(
% 0.21/0.43 spl0_21 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f839,plain,(
% 0.21/0.43 ~inverse(inverse(sk_c7))=sk_c7|spl0_21),
% 0.21/0.43 inference(component_clause,[status(thm)],[f837])).
% 0.21/0.43 fof(f840,plain,(
% 0.21/0.43 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_9),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f26,f98])).
% 0.21/0.43 fof(f841,plain,(
% 0.21/0.43 ~spl0_20|~spl0_21|~spl0_9),
% 0.21/0.43 inference(split_clause,[status(thm)],[f840,f830,f837,f97])).
% 0.21/0.43 fof(f842,plain,(
% 0.21/0.43 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~spl0_9),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f25,f98])).
% 0.21/0.43 fof(f843,plain,(
% 0.21/0.43 ~spl0_17|~spl0_16|~spl0_9),
% 0.21/0.43 inference(split_clause,[status(thm)],[f842,f802,f799,f97])).
% 0.21/0.43 fof(f845,plain,(
% 0.21/0.43 ~sk_c7=sk_c7|spl0_21),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f158,f839])).
% 0.21/0.43 fof(f846,plain,(
% 0.21/0.43 $false|spl0_21),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f845])).
% 0.21/0.43 fof(f847,plain,(
% 0.21/0.43 spl0_21),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f846])).
% 0.21/0.43 fof(f1736,plain,(
% 0.21/0.43 sk_c7=multiply(inverse(sk_c6),sk_c6)|~spl0_8|~spl0_7),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f616,f116])).
% 0.21/0.43 fof(f1737,plain,(
% 0.21/0.43 sk_c7=identity|~spl0_8|~spl0_7),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f26,f1736])).
% 0.21/0.43 fof(f1738,plain,(
% 0.21/0.43 $false|spl0_16|~spl0_8|~spl0_7),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1737,f808])).
% 0.21/0.43 fof(f1739,plain,(
% 0.21/0.43 spl0_16|~spl0_8|~spl0_7),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1738])).
% 0.21/0.43 fof(f1741,plain,(
% 0.21/0.43 identity=sk_c7|~spl0_16),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f137,f800])).
% 0.21/0.43 fof(f1783,plain,(
% 0.21/0.43 inverse(sk_c7)=sk_c4|~spl0_5),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f70,f158])).
% 0.21/0.43 fof(f1784,plain,(
% 0.21/0.43 sk_c3=sk_c4|~spl0_1|~spl0_5),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f598,f1783])).
% 0.21/0.43 fof(f1790,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c7)=sk_c5|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1784,f66])).
% 0.21/0.43 fof(f1799,plain,(
% 0.21/0.43 sk_c7=multiply(inverse(sk_c3),sk_c5)|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(paramodulation,[status(thm)],[f1790,f116])).
% 0.21/0.43 fof(f1800,plain,(
% 0.21/0.43 sk_c7=multiply(sk_c7,sk_c5)|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f54,f1799])).
% 0.21/0.43 fof(f1801,plain,(
% 0.21/0.43 sk_c7=sk_c6|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f62,f1800])).
% 0.21/0.43 fof(f1802,plain,(
% 0.21/0.43 $false|spl0_17|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1801,f804])).
% 0.21/0.43 fof(f1803,plain,(
% 0.21/0.43 spl0_17|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1802])).
% 0.21/0.43 fof(f1804,plain,(
% 0.21/0.43 $false|spl0_14|~spl0_16),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1741,f789])).
% 0.21/0.43 fof(f1805,plain,(
% 0.21/0.43 spl0_14|~spl0_16),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1804])).
% 0.21/0.43 fof(f1806,plain,(
% 0.21/0.43 ~spl0_17|spl0_15),
% 0.21/0.43 inference(split_clause,[status(thm)],[f809,f802,f794])).
% 0.21/0.43 fof(f1833,plain,(
% 0.21/0.43 sk_c6=identity|~spl0_0|~spl0_6),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f51,f622])).
% 0.21/0.43 fof(f1834,plain,(
% 0.21/0.43 $false|spl0_20|~spl0_0|~spl0_6),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1833,f832])).
% 0.21/0.43 fof(f1835,plain,(
% 0.21/0.43 spl0_20|~spl0_0|~spl0_6),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f1834])).
% 0.21/0.43 fof(f1862,plain,(
% 0.21/0.43 spl0_22 <=> sk_c7=sk_c7),
% 0.21/0.43 introduced(split_symbol_definition)).
% 0.21/0.43 fof(f1864,plain,(
% 0.21/0.43 ~sk_c7=sk_c7|spl0_22),
% 0.21/0.43 inference(component_clause,[status(thm)],[f1862])).
% 0.21/0.43 fof(f2542,plain,(
% 0.21/0.43 multiply(sk_c3,sk_c7)=sk_c7|~spl0_17|~spl0_2),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f803,f58])).
% 0.21/0.43 fof(f2543,plain,(
% 0.21/0.43 identity=sk_c7|~spl0_1|~spl0_17|~spl0_2),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f599,f2542])).
% 0.21/0.43 fof(f2544,plain,(
% 0.21/0.43 $false|spl0_16|~spl0_1|~spl0_17|~spl0_2),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f2543,f808])).
% 0.21/0.43 fof(f2545,plain,(
% 0.21/0.43 spl0_16|~spl0_1|~spl0_17|~spl0_2),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f2544])).
% 0.21/0.43 fof(f2547,plain,(
% 0.21/0.43 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f803,f110])).
% 0.21/0.43 fof(f2548,plain,(
% 0.21/0.43 $false|spl0_22),
% 0.21/0.43 inference(trivial_equality_resolution,[status(esa)],[f1864])).
% 0.21/0.43 fof(f2549,plain,(
% 0.21/0.43 spl0_22),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f2548])).
% 0.21/0.43 fof(f2578,plain,(
% 0.21/0.43 ~spl0_20|spl0_19),
% 0.21/0.43 inference(split_clause,[status(thm)],[f826,f830,f820])).
% 0.21/0.43 fof(f2591,plain,(
% 0.21/0.43 ~sk_c6=identity|~spl0_16|spl0_17),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1741,f804])).
% 0.21/0.43 fof(f2592,plain,(
% 0.21/0.43 ~spl0_20|~spl0_16|spl0_17),
% 0.21/0.43 inference(split_clause,[status(thm)],[f2591,f830,f799,f802])).
% 0.21/0.43 fof(f2613,plain,(
% 0.21/0.43 ![X0]: (~multiply(identity,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1741,f2547])).
% 0.21/0.43 fof(f2614,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f25,f2613])).
% 0.21/0.43 fof(f2615,plain,(
% 0.21/0.43 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c7|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1741,f2614])).
% 0.21/0.43 fof(f2616,plain,(
% 0.21/0.43 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c7|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f156,f2615])).
% 0.21/0.43 fof(f2617,plain,(
% 0.21/0.43 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1741,f2616])).
% 0.21/0.43 fof(f2618,plain,(
% 0.21/0.43 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_16|~spl0_17|~spl0_12)),
% 0.21/0.43 inference(forward_demodulation,[status(thm)],[f1741,f2617])).
% 0.21/0.43 fof(f2619,plain,(
% 0.21/0.43 ~inverse(identity)=identity|~spl0_16|~spl0_17|~spl0_12),
% 0.21/0.43 inference(destructive_equality_resolution,[status(esa)],[f2618])).
% 0.21/0.43 fof(f2620,plain,(
% 0.21/0.43 $false|~spl0_16|~spl0_17|~spl0_12),
% 0.21/0.43 inference(forward_subsumption_resolution,[status(thm)],[f2619,f137])).
% 0.21/0.43 fof(f2621,plain,(
% 0.21/0.43 ~spl0_16|~spl0_17|~spl0_12),
% 0.21/0.43 inference(contradiction_clause,[status(thm)],[f2620])).
% 0.21/0.43 fof(f2622,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f76,f77,f78,f79,f80,f84,f85,f86,f87,f88,f92,f93,f94,f95,f96,f109,f798,f806,f819,f829,f841,f843,f847,f1739,f1803,f1805,f1806,f1835,f2545,f2549,f2578,f2592,f2621])).
% 0.21/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.44 % Elapsed time: 0.085933 seconds
% 0.21/0.44 % CPU time: 0.569660 seconds
% 0.21/0.44 % Total memory used: 72.948 MB
% 0.21/0.44 % Net memory used: 72.362 MB
%------------------------------------------------------------------------------