TSTP Solution File: GRP353-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP353-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:11:26 EDT 2023
% Result : Unsatisfiable 0.10s 0.36s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP353-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n005.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:28:36 EDT 2023
% 0.10/0.33 % 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 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f7,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 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_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 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_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 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_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 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_c1) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f20,negated_conjecture,(
% 0.10/0.36 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 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_c7,sk_c5) = sk_c6| inverse(sk_c2) = 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 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f27,negated_conjecture,(
% 0.10/0.36 ( multiply(sk_c7,sk_c5) = 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(f28,negated_conjecture,(
% 0.10/0.36 (![X2,X1,X3,X4]: (( multiply(sk_c6,sk_c5) != sk_c7| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X3,X4) != sk_c6| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c6 ) ))),
% 0.10/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.36 fof(f29,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(f30,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(f31,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(f32,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.36 fof(f35,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.10/0.36 fof(f36,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.36 fof(f41,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.36 fof(f42,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.10/0.36 fof(f47,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.10/0.36 fof(f48,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.10/0.36 fof(f51,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.36 fof(f52,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.10/0.36 fof(f55,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.10/0.36 fof(f56,plain,(
% 0.10/0.36 ![X4]: ((![X3]: (((![X1]: (((((![X2]: ((~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X3,X4)=sk_c6)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c6)),
% 0.10/0.36 inference(miniscoping,[status(esa)],[f28])).
% 0.10/0.36 fof(f57,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6)),
% 0.10/0.36 inference(cnf_transformation,[status(esa)],[f56])).
% 0.10/0.36 fof(f58,plain,(
% 0.10/0.36 spl0_0 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f59,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c5)=sk_c7|~spl0_0),
% 0.10/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.10/0.36 fof(f60,plain,(
% 0.10/0.36 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_0),
% 0.10/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.10/0.36 fof(f61,plain,(
% 0.10/0.36 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f62,plain,(
% 0.10/0.36 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.10/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.36 fof(f63,plain,(
% 0.10/0.36 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.10/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.36 fof(f64,plain,(
% 0.10/0.36 spl0_0|spl0_1),
% 0.10/0.36 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.10/0.36 fof(f65,plain,(
% 0.10/0.36 spl0_2 <=> inverse(sk_c2)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f66,plain,(
% 0.10/0.36 inverse(sk_c2)=sk_c7|~spl0_2),
% 0.10/0.36 inference(component_clause,[status(thm)],[f65])).
% 0.10/0.36 fof(f69,plain,(
% 0.10/0.36 spl0_3 <=> multiply(sk_c2,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_c2,sk_c6)=sk_c7|~spl0_3),
% 0.10/0.36 inference(component_clause,[status(thm)],[f69])).
% 0.10/0.36 fof(f73,plain,(
% 0.10/0.36 spl0_4 <=> multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f74,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c4)=sk_c6|~spl0_4),
% 0.10/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.10/0.36 fof(f76,plain,(
% 0.10/0.36 spl0_0|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.10/0.36 fof(f77,plain,(
% 0.10/0.36 spl0_5 <=> inverse(sk_c3)=sk_c4),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f78,plain,(
% 0.10/0.36 inverse(sk_c3)=sk_c4|~spl0_5),
% 0.10/0.36 inference(component_clause,[status(thm)],[f77])).
% 0.10/0.36 fof(f80,plain,(
% 0.10/0.36 spl0_0|spl0_5),
% 0.10/0.36 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.10/0.36 fof(f81,plain,(
% 0.10/0.36 spl0_6 <=> multiply(sk_c4,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f82,plain,(
% 0.10/0.36 multiply(sk_c4,sk_c7)=sk_c6|~spl0_6),
% 0.10/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.10/0.36 fof(f85,plain,(
% 0.10/0.36 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f86,plain,(
% 0.10/0.36 multiply(sk_c1,sk_c7)=sk_c6|~spl0_7),
% 0.10/0.36 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.36 fof(f91,plain,(
% 0.10/0.36 spl0_7|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.10/0.36 fof(f92,plain,(
% 0.10/0.36 spl0_7|spl0_5),
% 0.10/0.36 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.10/0.36 fof(f94,plain,(
% 0.10/0.36 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f95,plain,(
% 0.10/0.36 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.10/0.36 inference(component_clause,[status(thm)],[f94])).
% 0.10/0.36 fof(f100,plain,(
% 0.10/0.36 spl0_8|spl0_4),
% 0.10/0.36 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.10/0.36 fof(f101,plain,(
% 0.10/0.36 spl0_8|spl0_5),
% 0.10/0.36 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.10/0.36 fof(f103,plain,(
% 0.10/0.36 spl0_9 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f104,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=sk_c6|~spl0_9),
% 0.10/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.36 fof(f105,plain,(
% 0.10/0.36 ~multiply(sk_c7,sk_c5)=sk_c6|spl0_9),
% 0.10/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.36 fof(f107,plain,(
% 0.10/0.36 spl0_9|spl0_2),
% 0.10/0.36 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.10/0.36 fof(f108,plain,(
% 0.10/0.36 spl0_9|spl0_3),
% 0.10/0.36 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.10/0.36 fof(f111,plain,(
% 0.10/0.36 spl0_9|spl0_6),
% 0.10/0.36 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.10/0.36 fof(f112,plain,(
% 0.10/0.36 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f113,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f112])).
% 0.10/0.36 fof(f115,plain,(
% 0.10/0.36 spl0_11 <=> ~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f116,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.36 fof(f118,plain,(
% 0.10/0.36 spl0_12 <=> ~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f119,plain,(
% 0.10/0.36 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c6|~spl0_12)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.36 fof(f121,plain,(
% 0.10/0.36 ~spl0_0|spl0_10|~spl0_9|~spl0_1|spl0_11|spl0_12),
% 0.10/0.36 inference(split_clause,[status(thm)],[f57,f58,f112,f103,f61,f115,f118])).
% 0.10/0.36 fof(f122,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_12)),
% 0.10/0.36 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 0.10/0.36 fof(f127,plain,(
% 0.10/0.36 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.10/0.36 fof(f128,plain,(
% 0.10/0.36 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f127])).
% 0.10/0.36 fof(f129,plain,(
% 0.10/0.36 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f128,f128])).
% 0.10/0.36 fof(f130,plain,(
% 0.10/0.36 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f30,f128])).
% 0.10/0.36 fof(f132,plain,(
% 0.10/0.36 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f31,f128])).
% 0.10/0.36 fof(f140,plain,(
% 0.10/0.36 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f30,f129])).
% 0.10/0.36 fof(f149,plain,(
% 0.10/0.36 inverse(identity)=identity),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f29,f140])).
% 0.10/0.36 fof(f168,plain,(
% 0.10/0.36 ![X0]: (X0=multiply(X0,identity))),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f129,f130])).
% 0.10/0.36 fof(f169,plain,(
% 0.10/0.36 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f129,f168])).
% 0.10/0.36 fof(f170,plain,(
% 0.10/0.36 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f168,f169])).
% 0.10/0.36 fof(f196,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f31,f132])).
% 0.10/0.36 fof(f197,plain,(
% 0.10/0.36 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f31,f196])).
% 0.10/0.36 fof(f221,plain,(
% 0.10/0.36 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f140,f132])).
% 0.10/0.36 fof(f222,plain,(
% 0.10/0.36 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f168,f221])).
% 0.10/0.36 fof(f317,plain,(
% 0.10/0.36 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f222,f222])).
% 0.10/0.36 fof(f318,plain,(
% 0.10/0.36 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f170,f317])).
% 0.10/0.36 fof(f601,plain,(
% 0.10/0.36 multiply(sk_c3,sk_c4)=identity|~spl0_5),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f78,f140])).
% 0.10/0.36 fof(f627,plain,(
% 0.10/0.36 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_7),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f86,f128])).
% 0.10/0.36 fof(f628,plain,(
% 0.10/0.36 sk_c7=multiply(sk_c7,sk_c6)|~spl0_8|~spl0_7),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f95,f627])).
% 0.10/0.36 fof(f663,plain,(
% 0.10/0.36 inverse(sk_c2)=multiply(sk_c6,inverse(sk_c7))|~spl0_3),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f70,f318])).
% 0.10/0.36 fof(f664,plain,(
% 0.10/0.36 sk_c7=multiply(sk_c6,inverse(sk_c7))|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f66,f663])).
% 0.10/0.36 fof(f700,plain,(
% 0.10/0.36 ![X0]: (~identity=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_12)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f140,f122])).
% 0.10/0.36 fof(f702,plain,(
% 0.10/0.36 spl0_13 <=> identity=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f703,plain,(
% 0.10/0.36 identity=sk_c6|~spl0_13),
% 0.10/0.36 inference(component_clause,[status(thm)],[f702])).
% 0.10/0.36 fof(f704,plain,(
% 0.10/0.36 ~identity=sk_c6|spl0_13),
% 0.10/0.36 inference(component_clause,[status(thm)],[f702])).
% 0.10/0.36 fof(f705,plain,(
% 0.10/0.36 spl0_14 <=> ~inverse(X0)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f706,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c6|~spl0_14)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f705])).
% 0.10/0.36 fof(f750,plain,(
% 0.10/0.36 $false|~spl0_14),
% 0.10/0.36 inference(resolution,[status(thm)],[f706,f170])).
% 0.10/0.36 fof(f751,plain,(
% 0.10/0.36 ~spl0_14),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f750])).
% 0.10/0.36 fof(f804,plain,(
% 0.10/0.36 sk_c6=identity|~spl0_4|~spl0_5),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f74,f601])).
% 0.10/0.36 fof(f805,plain,(
% 0.10/0.36 $false|spl0_13|~spl0_4|~spl0_5),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f804,f704])).
% 0.10/0.36 fof(f806,plain,(
% 0.10/0.36 spl0_13|~spl0_4|~spl0_5),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f805])).
% 0.10/0.36 fof(f807,plain,(
% 0.10/0.36 ![X0,X1]: (sk_c6=multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,multiply(X1,sk_c7)))|~spl0_8|~spl0_7)),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f628,f197])).
% 0.10/0.36 fof(f808,plain,(
% 0.10/0.36 sk_c6=identity|~spl0_8|~spl0_7),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f30,f807])).
% 0.10/0.36 fof(f809,plain,(
% 0.10/0.36 $false|spl0_13|~spl0_8|~spl0_7),
% 0.10/0.36 inference(forward_subsumption_resolution,[status(thm)],[f808,f704])).
% 0.10/0.36 fof(f810,plain,(
% 0.10/0.36 spl0_13|~spl0_8|~spl0_7),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f809])).
% 0.10/0.36 fof(f1657,plain,(
% 0.10/0.36 multiply(identity,sk_c7)=sk_c5|~spl0_13|~spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f62])).
% 0.10/0.36 fof(f1658,plain,(
% 0.10/0.36 sk_c7=sk_c5|~spl0_13|~spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f1657])).
% 0.10/0.36 fof(f1702,plain,(
% 0.10/0.36 multiply(identity,sk_c5)=sk_c7|~spl0_13|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f59])).
% 0.10/0.36 fof(f1703,plain,(
% 0.10/0.36 sk_c5=sk_c7|~spl0_13|~spl0_0),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f1702])).
% 0.10/0.36 fof(f1729,plain,(
% 0.10/0.36 multiply(sk_c4,sk_c5)=sk_c6|~spl0_13|~spl0_1|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1658,f82])).
% 0.10/0.36 fof(f1730,plain,(
% 0.10/0.36 multiply(sk_c4,sk_c5)=identity|~spl0_13|~spl0_1|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f1729])).
% 0.10/0.36 fof(f1801,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c7|~spl0_13|~spl0_1|~spl0_10)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1658,f113])).
% 0.10/0.36 fof(f1802,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,sk_c5)=identity|~inverse(X0)=sk_c7|~spl0_13|~spl0_1|~spl0_10)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f1801])).
% 0.10/0.36 fof(f1803,plain,(
% 0.10/0.36 ![X0]: (~multiply(X0,sk_c5)=identity|~inverse(X0)=sk_c5|~spl0_13|~spl0_1|~spl0_10)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1658,f1802])).
% 0.10/0.36 fof(f1805,plain,(
% 0.10/0.36 ~inverse(inverse(sk_c5))=sk_c5|~spl0_13|~spl0_1|~spl0_10),
% 0.10/0.36 inference(resolution,[status(thm)],[f1803,f30])).
% 0.10/0.36 fof(f1806,plain,(
% 0.10/0.36 ~sk_c5=sk_c5|~spl0_13|~spl0_1|~spl0_10),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f170,f1805])).
% 0.10/0.36 fof(f1807,plain,(
% 0.10/0.36 $false|~spl0_13|~spl0_1|~spl0_10),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f1806])).
% 0.10/0.36 fof(f1808,plain,(
% 0.10/0.36 ~spl0_13|~spl0_1|~spl0_10),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f1807])).
% 0.10/0.36 fof(f1809,plain,(
% 0.10/0.36 multiply(sk_c7,sk_c5)=identity|~spl0_13|~spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f104])).
% 0.10/0.36 fof(f1810,plain,(
% 0.10/0.36 multiply(sk_c4,sk_c7)=identity|~spl0_13|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f82])).
% 0.10/0.36 fof(f1813,plain,(
% 0.10/0.36 ~multiply(identity,sk_c7)=sk_c5|~spl0_13|spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f63])).
% 0.10/0.36 fof(f1814,plain,(
% 0.10/0.36 ~sk_c7=sk_c5|~spl0_13|spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f1813])).
% 0.10/0.36 fof(f1829,plain,(
% 0.10/0.36 sk_c5=multiply(inverse(sk_c7),identity)|~spl0_13|~spl0_9),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f1809,f128])).
% 0.10/0.36 fof(f1830,plain,(
% 0.10/0.36 sk_c5=inverse(sk_c7)|~spl0_13|~spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f168,f1829])).
% 0.10/0.36 fof(f1844,plain,(
% 0.10/0.36 inverse(sk_c7)=multiply(inverse(identity),sk_c4)|~spl0_13|~spl0_6),
% 0.10/0.36 inference(paramodulation,[status(thm)],[f1810,f222])).
% 0.10/0.36 fof(f1845,plain,(
% 0.10/0.36 inverse(sk_c7)=multiply(identity,sk_c4)|~spl0_13|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f149,f1844])).
% 0.10/0.36 fof(f1846,plain,(
% 0.10/0.36 inverse(sk_c7)=sk_c4|~spl0_13|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f1845])).
% 0.10/0.36 fof(f2490,plain,(
% 0.10/0.36 ~sk_c5=sk_c5|~spl0_0|~spl0_13|spl0_1),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f1814])).
% 0.10/0.36 fof(f2491,plain,(
% 0.10/0.36 $false|~spl0_0|~spl0_13|spl0_1),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f2490])).
% 0.10/0.36 fof(f2492,plain,(
% 0.10/0.36 ~spl0_0|~spl0_13|spl0_1),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f2491])).
% 0.10/0.36 fof(f2493,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~spl0_13|~spl0_0|~spl0_11)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f116])).
% 0.10/0.36 fof(f2494,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,identity)=sk_c7|~spl0_13|~spl0_0|~spl0_11)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f2493])).
% 0.10/0.36 fof(f2495,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c5|~X0=sk_c7|~spl0_13|~spl0_0|~spl0_11)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f168,f2494])).
% 0.10/0.36 fof(f2496,plain,(
% 0.10/0.36 ![X0]: (~inverse(X0)=sk_c5|~X0=sk_c5|~spl0_13|~spl0_0|~spl0_11)),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f2495])).
% 0.10/0.36 fof(f2497,plain,(
% 0.10/0.36 ~inverse(sk_c5)=sk_c5|~spl0_13|~spl0_0|~spl0_11),
% 0.10/0.36 inference(destructive_equality_resolution,[status(esa)],[f2496])).
% 0.10/0.36 fof(f2572,plain,(
% 0.10/0.36 sk_c5=inverse(sk_c5)|~spl0_0|~spl0_13|~spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f1830])).
% 0.10/0.36 fof(f2575,plain,(
% 0.10/0.36 inverse(sk_c5)=sk_c4|~spl0_0|~spl0_13|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f1846])).
% 0.10/0.36 fof(f2583,plain,(
% 0.10/0.36 spl0_25 <=> ~multiply(inverse(X0),sk_c7)=sk_c6),
% 0.10/0.36 introduced(split_symbol_definition)).
% 0.10/0.36 fof(f2584,plain,(
% 0.10/0.36 ![X0]: (~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_25)),
% 0.10/0.36 inference(component_clause,[status(thm)],[f2583])).
% 0.10/0.36 fof(f2586,plain,(
% 0.10/0.36 ~spl0_13|spl0_25|~spl0_12),
% 0.10/0.36 inference(split_clause,[status(thm)],[f700,f702,f2583,f118])).
% 0.10/0.36 fof(f2970,plain,(
% 0.10/0.36 ~sk_c5=sk_c5|~spl0_9|~spl0_13|~spl0_0|~spl0_11),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f2572,f2497])).
% 0.10/0.36 fof(f2971,plain,(
% 0.10/0.36 $false|~spl0_9|~spl0_13|~spl0_0|~spl0_11),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f2970])).
% 0.10/0.36 fof(f2972,plain,(
% 0.10/0.36 ~spl0_9|~spl0_13|~spl0_0|~spl0_11),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f2971])).
% 0.10/0.36 fof(f2974,plain,(
% 0.10/0.36 ~multiply(sk_c5,sk_c5)=sk_c6|~spl0_13|~spl0_0|spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f105])).
% 0.10/0.36 fof(f2975,plain,(
% 0.10/0.36 ~multiply(sk_c5,sk_c5)=identity|~spl0_13|~spl0_0|spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f2974])).
% 0.10/0.36 fof(f2989,plain,(
% 0.10/0.36 sk_c5=multiply(sk_c6,inverse(sk_c7))|~spl0_13|~spl0_0|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f664])).
% 0.10/0.36 fof(f2990,plain,(
% 0.10/0.36 sk_c5=multiply(identity,inverse(sk_c7))|~spl0_13|~spl0_0|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f703,f2989])).
% 0.10/0.36 fof(f2991,plain,(
% 0.10/0.36 sk_c5=inverse(sk_c7)|~spl0_13|~spl0_0|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f29,f2990])).
% 0.10/0.36 fof(f2992,plain,(
% 0.10/0.36 sk_c5=inverse(sk_c5)|~spl0_13|~spl0_0|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f1703,f2991])).
% 0.10/0.36 fof(f3107,plain,(
% 0.10/0.36 sk_c5=sk_c4|~spl0_6|~spl0_13|~spl0_0|~spl0_2|~spl0_3),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f2575,f2992])).
% 0.10/0.36 fof(f3127,plain,(
% 0.10/0.36 multiply(sk_c5,sk_c5)=identity|~spl0_0|~spl0_2|~spl0_3|~spl0_13|~spl0_1|~spl0_6),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f3107,f1730])).
% 0.10/0.36 fof(f3148,plain,(
% 0.10/0.36 ~identity=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_6|~spl0_13|~spl0_0|spl0_9),
% 0.10/0.36 inference(forward_demodulation,[status(thm)],[f3127,f2975])).
% 0.10/0.36 fof(f3149,plain,(
% 0.10/0.36 $false|~spl0_2|~spl0_3|~spl0_1|~spl0_6|~spl0_13|~spl0_0|spl0_9),
% 0.10/0.36 inference(trivial_equality_resolution,[status(esa)],[f3148])).
% 0.10/0.36 fof(f3150,plain,(
% 0.10/0.36 ~spl0_2|~spl0_3|~spl0_1|~spl0_6|~spl0_13|~spl0_0|spl0_9),
% 0.10/0.36 inference(contradiction_clause,[status(thm)],[f3149])).
% 0.10/0.36 fof(f3151,plain,(
% 0.10/0.36 ![X0]: (~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_13|~spl0_0|~spl0_25)),
% 0.25/0.60 inference(forward_demodulation,[status(thm)],[f1703,f2584])).
% 0.25/0.60 fof(f3152,plain,(
% 0.25/0.60 ![X0]: (~multiply(inverse(X0),sk_c5)=identity|~spl0_13|~spl0_0|~spl0_25)),
% 0.25/0.60 inference(forward_demodulation,[status(thm)],[f703,f3151])).
% 0.25/0.60 fof(f3217,plain,(
% 0.25/0.60 $false|~spl0_13|~spl0_0|~spl0_25),
% 0.25/0.60 inference(resolution,[status(thm)],[f3152,f30])).
% 0.25/0.60 fof(f3218,plain,(
% 0.25/0.60 ~spl0_13|~spl0_0|~spl0_25),
% 0.25/0.60 inference(contradiction_clause,[status(thm)],[f3217])).
% 0.25/0.60 fof(f3247,plain,(
% 0.25/0.60 ~multiply(identity,sk_c5)=sk_c7|~spl0_13|spl0_0),
% 0.25/0.60 inference(forward_demodulation,[status(thm)],[f703,f60])).
% 0.25/0.60 fof(f3248,plain,(
% 0.25/0.60 ~sk_c5=sk_c7|~spl0_13|spl0_0),
% 0.25/0.60 inference(forward_demodulation,[status(thm)],[f29,f3247])).
% 0.25/0.60 fof(f3844,plain,(
% 0.25/0.60 ~sk_c5=sk_c5|~spl0_1|~spl0_13|spl0_0),
% 0.25/0.60 inference(forward_demodulation,[status(thm)],[f1658,f3248])).
% 0.25/0.60 fof(f3845,plain,(
% 0.25/0.60 $false|~spl0_1|~spl0_13|spl0_0),
% 0.25/0.60 inference(trivial_equality_resolution,[status(esa)],[f3844])).
% 0.25/0.60 fof(f3846,plain,(
% 0.25/0.60 ~spl0_1|~spl0_13|spl0_0),
% 0.25/0.60 inference(contradiction_clause,[status(thm)],[f3845])).
% 0.25/0.60 fof(f3847,plain,(
% 0.25/0.60 $false),
% 0.25/0.60 inference(sat_refutation,[status(thm)],[f64,f76,f80,f91,f92,f100,f101,f107,f108,f111,f121,f751,f806,f810,f1808,f2492,f2586,f2972,f3150,f3218,f3846])).
% 0.25/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.60 % Elapsed time: 0.046611 seconds
% 0.25/0.60 % CPU time: 0.090811 seconds
% 0.25/0.60 % Memory used: 16.455 MB
%------------------------------------------------------------------------------