TSTP Solution File: GRP222-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP222-1 : 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 : Wed May 31 12:11:01 EDT 2023
% Result : Unsatisfiable 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP222-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n010.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:17:37 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.36 fof(f1,axiom,(
% 0.10/0.36 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f2,axiom,(
% 0.10/0.36 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f3,axiom,(
% 0.10/0.36 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f4,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f5,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f6,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f7,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f8,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f9,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f10,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f11,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f12,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c2,sk_c3) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f13,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c2,sk_c3) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f14,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c2,sk_c3) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f15,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c2,sk_c3) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f16,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f17,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f18,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f19,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f20,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c3,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f21,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c3,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f22,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c3,sk_c7) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f23,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c3,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f24,negated_conjecture,(
% 0.10/0.36 (![X3,X4,X5,X1,X2]: (( inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| multiply(X4,X5) != sk_c6| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7 ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f25,plain,(
% 0.10/0.36 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.10/0.36 fof(f26,plain,(
% 0.10/0.36 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.10/0.36 fof(f27,plain,(
% 0.10/0.36 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.36 fof(f28,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.36 fof(f29,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.10/0.36 fof(f30,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.10/0.36 fof(f31,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.10/0.36 fof(f32,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.36 fof(f33,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.10/0.36 fof(f34,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.10/0.36 fof(f35,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.10/0.36 fof(f36,plain,(
% 0.10/0.36 multiply(sk_c2,sk_c3)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.10/0.36 fof(f37,plain,(
% 0.10/0.36 multiply(sk_c2,sk_c3)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.36 fof(f38,plain,(
% 0.10/0.36 multiply(sk_c2,sk_c3)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.10/0.36 fof(f39,plain,(
% 0.10/0.36 multiply(sk_c2,sk_c3)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.10/0.36 fof(f40,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.10/0.36 fof(f41,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.10/0.36 fof(f42,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.36 fof(f43,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.10/0.36 fof(f44,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.10/0.36 fof(f45,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.10/0.36 fof(f46,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c7)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.10/0.36 fof(f47,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.36 fof(f48,plain,(
% 0.10/0.36 ![X2]: (((![X1]: (((![X5]: ((![X4]: (((![X3]: (~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7))|~multiply(X4,X5)=sk_c6)|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7)),
% 0.10/0.36 inference(miniscoping,[status(esa)],[f24])).
% 0.10/0.36 fof(f49,plain,(
% 0.10/0.36 ![X0,X1,X2,X3,X4]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~multiply(X1,X2)=sk_c6|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7|~inverse(X4)=sk_c7|~multiply(X4,sk_c6)=sk_c7)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f48])).
% 0.10/0.36 fof(f50,plain,(
% 0.10/0.36 spl0_0 <=> inverse(sk_c1)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f51,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|~spl0_0),
% 0.10/0.36 inference(component_clause,[status(thm)],[f50])).
% 0.10/0.36 fof(f53,plain,(
% 0.10/0.36 spl0_1 <=> multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f54,plain,(
% 0.10/0.36 multiply(sk_c4,sk_c7)=sk_c6|~spl0_1),
% 0.10/0.36 inference(component_clause,[status(thm)],[f53])).
% 0.10/0.36 fof(f56,plain,(
% 0.10/0.36 spl0_0|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.10/0.36 fof(f57,plain,(
% 0.10/0.36 spl0_2 <=> inverse(sk_c4)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f58,plain,(
% 0.10/0.36 inverse(sk_c4)=sk_c7|~spl0_2),
% 0.10/0.36 inference(component_clause,[status(thm)],[f57])).
% 0.10/0.36 fof(f60,plain,(
% 0.10/0.36 spl0_0|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.10/0.36 fof(f61,plain,(
% 0.10/0.36 spl0_3 <=> inverse(sk_c5)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f62,plain,(
% 0.10/0.36 inverse(sk_c5)=sk_c7|~spl0_3),
% 0.10/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.36 fof(f64,plain,(
% 0.10/0.36 spl0_0|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.10/0.36 fof(f65,plain,(
% 0.10/0.36 spl0_4 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f66,plain,(
% 0.10/0.36 multiply(sk_c5,sk_c6)=sk_c7|~spl0_4),
% 0.10/0.36 inference(component_clause,[status(thm)],[f65])).
% 0.10/0.36 fof(f68,plain,(
% 0.10/0.36 spl0_0|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.10/0.36 fof(f69,plain,(
% 0.10/0.36 spl0_5 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f70,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c6)=sk_c7|~spl0_5),
% 0.10/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.10/0.36 fof(f72,plain,(
% 0.10/0.36 spl0_5|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.10/0.36 fof(f73,plain,(
% 0.10/0.36 spl0_5|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.10/0.36 fof(f74,plain,(
% 0.10/0.36 spl0_5|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.10/0.36 fof(f75,plain,(
% 0.10/0.36 spl0_5|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.10/0.36 fof(f76,plain,(
% 0.10/0.36 spl0_6 <=> multiply(sk_c2,sk_c3)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f77,plain,(
% 0.10/0.36 multiply(sk_c2,sk_c3)=sk_c6|~spl0_6),
% 0.10/0.36 inference(component_clause,[status(thm)],[f76])).
% 0.10/0.36 fof(f79,plain,(
% 0.10/0.36 spl0_6|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f36,f76,f53])).
% 0.10/0.36 fof(f80,plain,(
% 0.10/0.36 spl0_6|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f37,f76,f57])).
% 0.10/0.36 fof(f81,plain,(
% 0.10/0.36 spl0_6|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.10/0.36 fof(f82,plain,(
% 0.10/0.36 spl0_6|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.10/0.36 fof(f83,plain,(
% 0.10/0.36 spl0_7 <=> inverse(sk_c2)=sk_c3),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f84,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c3|~spl0_7),
% 0.10/0.36 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.36 fof(f86,plain,(
% 0.10/0.36 spl0_7|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.10/0.36 fof(f87,plain,(
% 0.10/0.36 spl0_7|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f41,f83,f57])).
% 0.10/0.36 fof(f88,plain,(
% 0.10/0.36 spl0_7|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.10/0.36 fof(f89,plain,(
% 0.10/0.36 spl0_7|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f43,f83,f65])).
% 0.10/0.36 fof(f90,plain,(
% 0.10/0.36 spl0_8 <=> multiply(sk_c3,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f91,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c7)=sk_c6|~spl0_8),
% 0.10/0.36 inference(component_clause,[status(thm)],[f90])).
% 0.10/0.36 fof(f93,plain,(
% 0.10/0.36 spl0_8|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.10/0.36 fof(f94,plain,(
% 0.10/0.36 spl0_8|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f45,f90,f57])).
% 0.10/0.36 fof(f95,plain,(
% 0.10/0.36 spl0_8|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.10/0.36 fof(f96,plain,(
% 0.10/0.36 spl0_8|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f47,f90,f65])).
% 0.10/0.36 fof(f97,plain,(
% 0.10/0.36 spl0_9 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f98,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_9)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.36 fof(f100,plain,(
% 0.10/0.36 spl0_10 <=> ~multiply(X1,X2)=sk_c6|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f101,plain,(
% 0.10/0.36 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c6|~spl0_10)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f100])).
% 0.10/0.36 fof(f103,plain,(
% 0.10/0.36 spl0_11 <=> ~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f104,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.36 fof(f106,plain,(
% 0.10/0.36 spl0_9|spl0_10|spl0_11),
% 0.10/0.36 inference(split_clause,[status(thm)],[f49,f97,f100,f103])).
% 0.10/0.36 fof(f108,plain,(
% 0.10/0.36 ~inverse(sk_c4)=sk_c7|~spl0_11|~spl0_1),
% 0.10/0.36 inference(resolution,[status(thm)],[f104,f54])).
% 0.10/0.36 fof(f109,plain,(
% 0.10/0.36 ~sk_c7=sk_c7|~spl0_2|~spl0_11|~spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f58,f108])).
% 0.10/0.36 fof(f110,plain,(
% 0.10/0.36 $false|~spl0_2|~spl0_11|~spl0_1),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f109])).
% 0.10/0.36 fof(f111,plain,(
% 0.10/0.36 ~spl0_2|~spl0_11|~spl0_1),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f110])).
% 0.10/0.36 fof(f112,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_10)),
% 0.10/0.36 inference(destructive_equality_resolution,[status(esa)],[f101])).
% 0.10/0.36 fof(f113,plain,(
% 0.10/0.36 ~inverse(sk_c1)=sk_c7|~spl0_9|~spl0_5),
% 0.10/0.36 inference(resolution,[status(thm)],[f98,f70])).
% 0.10/0.36 fof(f114,plain,(
% 0.10/0.36 ~sk_c7=sk_c7|~spl0_0|~spl0_9|~spl0_5),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f51,f113])).
% 0.10/0.36 fof(f115,plain,(
% 0.10/0.36 $false|~spl0_0|~spl0_9|~spl0_5),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f114])).
% 0.10/0.36 fof(f116,plain,(
% 0.10/0.36 ~spl0_0|~spl0_9|~spl0_5),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f115])).
% 0.10/0.36 fof(f117,plain,(
% 0.10/0.36 spl0_12 <=> multiply(sk_c1,inverse(sk_c1))=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f120,plain,(
% 0.10/0.36 spl0_13 <=> multiply(sk_c7,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f121,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c7)=sk_c6|~spl0_13),
% 0.10/0.36 inference(component_clause,[status(thm)],[f120])).
% 0.10/0.36 fof(f122,plain,(
% 0.10/0.36 ~multiply(sk_c7,sk_c7)=sk_c6|spl0_13),
% 0.10/0.36 inference(component_clause,[status(thm)],[f120])).
% 0.10/0.36 fof(f123,plain,(
% 0.10/0.36 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~spl0_10|~spl0_0),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f51,f112])).
% 0.10/0.36 fof(f124,plain,(
% 0.10/0.36 ~spl0_12|~spl0_13|~spl0_10|~spl0_0),
% 0.10/0.36 inference(split_clause,[status(thm)],[f123,f117,f120,f100,f50])).
% 0.10/0.36 fof(f125,plain,(
% 0.10/0.36 spl0_14 <=> multiply(sk_c2,inverse(sk_c2))=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f127,plain,(
% 0.10/0.36 ~multiply(sk_c2,inverse(sk_c2))=sk_c6|spl0_14),
% 0.10/0.36 inference(component_clause,[status(thm)],[f125])).
% 0.10/0.36 fof(f128,plain,(
% 0.10/0.36 ~multiply(sk_c2,inverse(sk_c2))=sk_c6|~multiply(sk_c3,sk_c7)=sk_c6|~spl0_10|~spl0_7),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f84,f112])).
% 0.10/0.36 fof(f129,plain,(
% 0.10/0.36 ~spl0_14|~spl0_8|~spl0_10|~spl0_7),
% 0.10/0.36 inference(split_clause,[status(thm)],[f128,f125,f90,f100,f83])).
% 0.10/0.36 fof(f130,plain,(
% 0.10/0.36 spl0_15 <=> multiply(sk_c5,inverse(sk_c5))=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f133,plain,(
% 0.10/0.36 ~multiply(sk_c5,inverse(sk_c5))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~spl0_10|~spl0_3),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f62,f112])).
% 0.10/0.36 fof(f134,plain,(
% 0.10/0.36 ~spl0_15|~spl0_13|~spl0_10|~spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f133,f130,f120,f100,f61])).
% 0.10/0.36 fof(f135,plain,(
% 0.10/0.36 ~multiply(sk_c2,sk_c3)=sk_c6|~spl0_7|spl0_14),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f84,f127])).
% 0.10/0.36 fof(f136,plain,(
% 0.10/0.36 ~sk_c6=sk_c6|~spl0_6|~spl0_7|spl0_14),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f77,f135])).
% 0.10/0.36 fof(f137,plain,(
% 0.10/0.36 $false|~spl0_6|~spl0_7|spl0_14),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f136])).
% 0.10/0.36 fof(f138,plain,(
% 0.10/0.36 ~spl0_6|~spl0_7|spl0_14),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f137])).
% 0.10/0.36 fof(f140,plain,(
% 0.10/0.36 spl0_16 <=> sk_c6=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f142,plain,(
% 0.10/0.36 ~sk_c6=sk_c6|spl0_16),
% 0.10/0.36 inference(component_clause,[status(thm)],[f140])).
% 0.10/0.36 fof(f151,plain,(
% 0.10/0.36 $false|spl0_16),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f142])).
% 0.10/0.36 fof(f152,plain,(
% 0.10/0.36 spl0_16),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f151])).
% 0.10/0.36 fof(f153,plain,(
% 0.10/0.36 spl0_18 <=> multiply(sk_c4,inverse(sk_c4))=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f155,plain,(
% 0.10/0.36 ~multiply(sk_c4,inverse(sk_c4))=sk_c6|spl0_18),
% 0.10/0.36 inference(component_clause,[status(thm)],[f153])).
% 0.10/0.36 fof(f156,plain,(
% 0.10/0.36 ~multiply(sk_c4,inverse(sk_c4))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~spl0_10|~spl0_2),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f58,f112])).
% 0.10/0.36 fof(f157,plain,(
% 0.10/0.36 ~spl0_18|~spl0_13|~spl0_10|~spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f156,f153,f120,f100,f57])).
% 0.10/0.36 fof(f160,plain,(
% 0.10/0.36 ~multiply(sk_c4,sk_c7)=sk_c6|~spl0_2|spl0_18),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f58,f155])).
% 0.10/0.36 fof(f161,plain,(
% 0.10/0.36 ~sk_c6=sk_c6|~spl0_1|~spl0_2|spl0_18),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f54,f160])).
% 0.10/0.36 fof(f162,plain,(
% 0.10/0.36 $false|~spl0_1|~spl0_2|spl0_18),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f161])).
% 0.10/0.36 fof(f163,plain,(
% 0.10/0.36 ~spl0_1|~spl0_2|spl0_18),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f162])).
% 0.10/0.36 fof(f171,plain,(
% 0.10/0.36 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~spl0_6)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f77,f27])).
% 0.10/0.36 fof(f173,plain,(
% 0.10/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_4)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f66,f27])).
% 0.10/0.36 fof(f184,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c1)=identity|~spl0_0),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f51,f26])).
% 0.10/0.36 fof(f186,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=identity|~spl0_3),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f62,f26])).
% 0.10/0.36 fof(f198,plain,(
% 0.10/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_0)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f184,f27])).
% 0.10/0.36 fof(f199,plain,(
% 0.10/0.36 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_0)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f25,f198])).
% 0.10/0.36 fof(f207,plain,(
% 0.10/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~spl0_3)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f186,f27])).
% 0.10/0.36 fof(f208,plain,(
% 0.10/0.36 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~spl0_3)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f25,f207])).
% 0.10/0.36 fof(f226,plain,(
% 0.10/0.36 sk_c6=multiply(sk_c7,sk_c7)|~spl0_3|~spl0_4),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f66,f208])).
% 0.10/0.36 fof(f227,plain,(
% 0.10/0.36 $false|spl0_13|~spl0_3|~spl0_4),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f226,f122])).
% 0.10/0.36 fof(f228,plain,(
% 0.10/0.36 spl0_13|~spl0_3|~spl0_4),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f227])).
% 0.10/0.36 fof(f232,plain,(
% 0.10/0.36 ~inverse(sk_c5)=sk_c7|~spl0_9|~spl0_4),
% 0.10/0.36 inference(resolution,[status(thm)],[f98,f66])).
% 0.10/0.36 fof(f233,plain,(
% 0.10/0.36 ~sk_c7=sk_c7|~spl0_3|~spl0_9|~spl0_4),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f62,f232])).
% 0.10/0.36 fof(f234,plain,(
% 0.10/0.36 $false|~spl0_3|~spl0_9|~spl0_4),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f233])).
% 0.10/0.36 fof(f235,plain,(
% 0.10/0.36 ~spl0_3|~spl0_9|~spl0_4),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f234])).
% 0.10/0.36 fof(f236,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c2)=identity|~spl0_7),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f84,f26])).
% 0.10/0.36 fof(f238,plain,(
% 0.10/0.36 sk_c6=multiply(sk_c7,sk_c7)|~spl0_0|~spl0_5),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f70,f199])).
% 0.10/0.36 fof(f239,plain,(
% 0.10/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~spl0_5)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f70,f27])).
% 0.10/0.36 fof(f241,plain,(
% 0.10/0.36 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~spl0_8)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f91,f27])).
% 0.10/0.36 fof(f246,plain,(
% 0.10/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c3,multiply(sk_c2,X0))|~spl0_7)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f236,f27])).
% 0.10/0.36 fof(f247,plain,(
% 0.10/0.36 ![X0]: (X0=multiply(sk_c3,multiply(sk_c2,X0))|~spl0_7)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f25,f246])).
% 0.10/0.36 fof(f250,plain,(
% 0.10/0.36 sk_c3=multiply(sk_c3,sk_c6)|~spl0_7|~spl0_6),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f77,f247])).
% 0.10/0.36 fof(f254,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c6)=multiply(sk_c2,sk_c3)|~spl0_7|~spl0_6),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f250,f171])).
% 0.10/0.36 fof(f255,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c6)=sk_c6|~spl0_7|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f77,f254])).
% 0.10/0.36 fof(f264,plain,(
% 0.10/0.36 spl0_21 <=> inverse(sk_c7)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f267,plain,(
% 0.10/0.36 ~sk_c6=sk_c6|~inverse(sk_c7)=sk_c7|~spl0_11|~spl0_13),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f121,f104])).
% 0.10/0.36 fof(f268,plain,(
% 0.10/0.36 ~spl0_16|~spl0_21|~spl0_11|~spl0_13),
% 0.10/0.36 inference(split_clause,[status(thm)],[f267,f140,f264,f103,f120])).
% 0.10/0.36 fof(f282,plain,(
% 0.10/0.36 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c7))=sk_c6|~inverse(multiply(X0,X1))=sk_c7|~spl0_11)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f27,f104])).
% 0.10/0.36 fof(f283,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c6)=multiply(sk_c1,sk_c6)|~spl0_5|~spl0_7|~spl0_6),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f255,f239])).
% 0.10/0.36 fof(f291,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c7)=multiply(sk_c3,sk_c6)|~spl0_8|~spl0_13),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f121,f241])).
% 0.10/0.36 fof(f292,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c7)=sk_c3|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f250,f291])).
% 0.10/0.36 fof(f336,plain,(
% 0.10/0.36 spl0_32 <=> inverse(multiply(sk_c5,sk_c6))=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f339,plain,(
% 0.10/0.36 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(multiply(sk_c5,sk_c6))=sk_c7|~spl0_11|~spl0_4),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f173,f282])).
% 0.10/0.36 fof(f340,plain,(
% 0.10/0.36 ~spl0_13|~spl0_32|~spl0_11|~spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f339,f120,f336,f103,f65])).
% 0.10/0.36 fof(f351,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c7)=multiply(sk_c1,sk_c3)|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f292,f239])).
% 0.10/0.36 fof(f352,plain,(
% 0.10/0.36 sk_c6=multiply(sk_c1,sk_c3)|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f121,f351])).
% 0.10/0.36 fof(f367,plain,(
% 0.10/0.36 sk_c3=multiply(sk_c7,sk_c6)|~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f352,f199])).
% 0.10/0.36 fof(f398,plain,(
% 0.10/0.36 spl0_13|~spl0_0|~spl0_5),
% 0.10/0.36 inference(split_clause,[status(thm)],[f238,f120,f50,f69])).
% 0.10/0.36 fof(f400,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c6)=sk_c7|~spl0_5|~spl0_7|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f70,f283])).
% 0.10/0.36 fof(f420,plain,(
% 0.10/0.36 sk_c3=sk_c7|~spl0_0|~spl0_8|~spl0_13|~spl0_5|~spl0_7|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f367,f400])).
% 0.10/0.36 fof(f424,plain,(
% 0.10/0.36 sk_c6=multiply(sk_c1,sk_c7)|~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(backward_demodulation,[status(thm)],[f420,f352])).
% 0.10/0.36 fof(f447,plain,(
% 0.10/0.36 ~inverse(sk_c1)=sk_c7|~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_11),
% 0.10/0.36 inference(resolution,[status(thm)],[f424,f104])).
% 0.10/0.36 fof(f448,plain,(
% 0.10/0.36 ~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_11),
% 0.10/0.36 inference(split_clause,[status(thm)],[f447,f50,f69,f83,f76,f90,f120,f103])).
% 0.10/0.36 fof(f451,plain,(
% 0.10/0.36 ~sk_c6=sk_c6|~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f424,f104])).
% 0.10/0.36 fof(f452,plain,(
% 0.10/0.36 ~spl0_16|~spl0_0|~spl0_11|~spl0_5|~spl0_7|~spl0_6|~spl0_8|~spl0_13),
% 0.10/0.36 inference(split_clause,[status(thm)],[f451,f140,f50,f103,f69,f83,f76,f90,f120])).
% 0.10/0.36 fof(f454,plain,(
% 0.10/0.36 $false),
% 0.10/0.36 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f79,f80,f81,f82,f86,f87,f88,f89,f93,f94,f95,f96,f106,f111,f116,f124,f129,f134,f138,f152,f157,f163,f228,f235,f268,f340,f398,f448,f452])).
% 0.10/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.59 % Elapsed time: 0.051009 seconds
% 0.19/0.59 % CPU time: 0.067905 seconds
% 0.19/0.59 % Memory used: 13.802 MB
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