TSTP Solution File: GRP292-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:11:14 EDT 2023
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n023.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 11:52:23 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f7,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f16,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f17,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f18,negated_conjecture,(
% 0.10/0.39 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f20,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c5| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f21,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f22,negated_conjecture,(
% 0.10/0.39 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c4 ) ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f24,negated_conjecture,(
% 0.10/0.39 (![X3,X4,X2,X1]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c5) != sk_c6| inverse(X4) != sk_c5| multiply(sk_c5,sk_c6) != sk_c7| multiply(X2,X1) != sk_c6| inverse(X2) != X1| multiply(X1,sk_c5) != sk_c6 ) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f25,plain,(
% 0.10/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.10/0.39 fof(f26,plain,(
% 0.10/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.10/0.39 fof(f27,plain,(
% 0.10/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.39 fof(f28,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.39 fof(f31,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.10/0.39 fof(f40,plain,(
% 0.10/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.10/0.39 fof(f41,plain,(
% 0.10/0.39 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.10/0.39 fof(f42,plain,(
% 0.10/0.39 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.39 fof(f44,plain,(
% 0.10/0.39 inverse(sk_c2)=sk_c5|multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.10/0.39 fof(f45,plain,(
% 0.10/0.39 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.10/0.39 fof(f46,plain,(
% 0.10/0.39 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c4),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.10/0.39 fof(f48,plain,(
% 0.10/0.39 ![X1]: ((![X2]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c5)=sk_c6)|~inverse(X4)=sk_c5))|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(X2,X1)=sk_c6)|~inverse(X2)=X1))|~multiply(X1,sk_c5)=sk_c6)),
% 0.10/0.39 inference(miniscoping,[status(esa)],[f24])).
% 0.10/0.39 fof(f49,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c5)=sk_c6|~inverse(X1)=sk_c5|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c5)=sk_c6)),
% 0.10/0.39 inference(cnf_transformation,[status(esa)],[f48])).
% 0.10/0.39 fof(f50,plain,(
% 0.10/0.39 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f51,plain,(
% 0.10/0.39 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.10/0.39 inference(component_clause,[status(thm)],[f50])).
% 0.10/0.39 fof(f52,plain,(
% 0.10/0.39 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.10/0.39 inference(component_clause,[status(thm)],[f50])).
% 0.10/0.39 fof(f53,plain,(
% 0.10/0.39 spl0_1 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f54,plain,(
% 0.10/0.39 multiply(sk_c5,sk_c6)=sk_c7|~spl0_1),
% 0.10/0.39 inference(component_clause,[status(thm)],[f53])).
% 0.10/0.39 fof(f55,plain,(
% 0.10/0.39 ~multiply(sk_c5,sk_c6)=sk_c7|spl0_1),
% 0.10/0.39 inference(component_clause,[status(thm)],[f53])).
% 0.10/0.39 fof(f56,plain,(
% 0.10/0.39 spl0_0|spl0_1),
% 0.10/0.39 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.10/0.39 fof(f57,plain,(
% 0.10/0.39 spl0_2 <=> multiply(sk_c3,sk_c4)=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f58,plain,(
% 0.10/0.39 multiply(sk_c3,sk_c4)=sk_c6|~spl0_2),
% 0.10/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.10/0.39 fof(f61,plain,(
% 0.10/0.39 spl0_3 <=> inverse(sk_c3)=sk_c4),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f62,plain,(
% 0.10/0.39 inverse(sk_c3)=sk_c4|~spl0_3),
% 0.10/0.39 inference(component_clause,[status(thm)],[f61])).
% 0.10/0.39 fof(f65,plain,(
% 0.10/0.39 spl0_4 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f66,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c5)=sk_c6|~spl0_4),
% 0.10/0.39 inference(component_clause,[status(thm)],[f65])).
% 0.10/0.39 fof(f68,plain,(
% 0.10/0.39 spl0_0|spl0_4),
% 0.10/0.39 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.10/0.39 fof(f83,plain,(
% 0.10/0.39 spl0_7 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f84,plain,(
% 0.10/0.39 multiply(sk_c2,sk_c5)=sk_c6|~spl0_7),
% 0.10/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.39 fof(f85,plain,(
% 0.10/0.39 ~multiply(sk_c2,sk_c5)=sk_c6|spl0_7),
% 0.10/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.10/0.39 fof(f86,plain,(
% 0.10/0.39 spl0_7|spl0_1),
% 0.10/0.39 inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.10/0.39 fof(f87,plain,(
% 0.10/0.39 spl0_7|spl0_2),
% 0.10/0.39 inference(split_clause,[status(thm)],[f41,f83,f57])).
% 0.10/0.39 fof(f88,plain,(
% 0.10/0.39 spl0_7|spl0_3),
% 0.10/0.39 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.10/0.39 fof(f90,plain,(
% 0.10/0.39 spl0_8 <=> inverse(sk_c2)=sk_c5),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f91,plain,(
% 0.10/0.39 inverse(sk_c2)=sk_c5|~spl0_8),
% 0.10/0.39 inference(component_clause,[status(thm)],[f90])).
% 0.10/0.39 fof(f93,plain,(
% 0.10/0.39 spl0_8|spl0_1),
% 0.10/0.39 inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.10/0.39 fof(f94,plain,(
% 0.10/0.39 spl0_8|spl0_2),
% 0.10/0.39 inference(split_clause,[status(thm)],[f45,f90,f57])).
% 0.10/0.39 fof(f95,plain,(
% 0.10/0.39 spl0_8|spl0_3),
% 0.10/0.39 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.10/0.39 fof(f97,plain,(
% 0.10/0.39 spl0_9 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f98,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_9)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.39 fof(f100,plain,(
% 0.10/0.39 spl0_10 <=> ~multiply(X1,sk_c5)=sk_c6|~inverse(X1)=sk_c5),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f101,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c5)=sk_c6|~inverse(X0)=sk_c5|~spl0_10)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f100])).
% 0.10/0.39 fof(f103,plain,(
% 0.10/0.39 spl0_11 <=> ~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c5)=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f104,plain,(
% 0.10/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c5)=sk_c6|~spl0_11)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.39 fof(f106,plain,(
% 0.10/0.39 ~spl0_0|spl0_9|spl0_10|~spl0_1|spl0_11),
% 0.10/0.39 inference(split_clause,[status(thm)],[f49,f50,f97,f100,f53,f103])).
% 0.10/0.39 fof(f107,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_11)),
% 0.10/0.39 inference(destructive_equality_resolution,[status(esa)],[f104])).
% 0.10/0.39 fof(f112,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.10/0.39 fof(f113,plain,(
% 0.10/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f25,f112])).
% 0.10/0.39 fof(f114,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f113,f113])).
% 0.10/0.39 fof(f115,plain,(
% 0.10/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f26,f113])).
% 0.10/0.39 fof(f117,plain,(
% 0.10/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f27,f113])).
% 0.10/0.39 fof(f125,plain,(
% 0.10/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f26,f114])).
% 0.10/0.39 fof(f134,plain,(
% 0.10/0.39 inverse(identity)=identity),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f25,f125])).
% 0.10/0.39 fof(f153,plain,(
% 0.10/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f114,f115])).
% 0.10/0.39 fof(f154,plain,(
% 0.10/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f114,f153])).
% 0.10/0.39 fof(f155,plain,(
% 0.10/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f154])).
% 0.10/0.39 fof(f206,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f125,f117])).
% 0.10/0.39 fof(f207,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f206])).
% 0.10/0.39 fof(f302,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f207,f207])).
% 0.10/0.39 fof(f303,plain,(
% 0.10/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f155,f302])).
% 0.10/0.39 fof(f580,plain,(
% 0.10/0.39 inverse(sk_c4)=sk_c3|~spl0_3),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f62,f155])).
% 0.10/0.39 fof(f581,plain,(
% 0.10/0.39 multiply(sk_c3,sk_c4)=identity|~spl0_3),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f62,f125])).
% 0.10/0.39 fof(f585,plain,(
% 0.10/0.39 inverse(sk_c5)=sk_c2|~spl0_8),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f91,f155])).
% 0.10/0.39 fof(f639,plain,(
% 0.10/0.39 sk_c5=multiply(inverse(sk_c2),sk_c6)|~spl0_7),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f84,f113])).
% 0.10/0.39 fof(f640,plain,(
% 0.10/0.39 sk_c5=multiply(sk_c5,sk_c6)|~spl0_8|~spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f91,f639])).
% 0.10/0.39 fof(f666,plain,(
% 0.10/0.39 sk_c6=identity|~spl0_2|~spl0_3),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f58,f581])).
% 0.10/0.39 fof(f666,plain,(
% 0.10/0.39 sk_c6=identity|~spl0_2|~spl0_3),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f58,f581])).
% 0.10/0.39 fof(f667,plain,(
% 0.10/0.39 multiply(sk_c5,identity)=sk_c7|~spl0_2|~spl0_3|~spl0_1),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f666,f54])).
% 0.10/0.39 fof(f668,plain,(
% 0.10/0.39 sk_c5=sk_c7|~spl0_2|~spl0_3|~spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f667])).
% 0.10/0.39 fof(f672,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c5)=identity|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f666,f66])).
% 0.10/0.39 fof(f698,plain,(
% 0.10/0.39 ![X0]: (~identity=sk_c6|~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_11)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f125,f107])).
% 0.10/0.39 fof(f698,plain,(
% 0.10/0.39 ![X0]: (~identity=sk_c6|~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_11)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f125,f107])).
% 0.10/0.39 fof(f699,plain,(
% 0.10/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_2|~spl0_3|~spl0_11)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f666,f698])).
% 0.10/0.39 fof(f700,plain,(
% 0.10/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f699])).
% 0.10/0.39 fof(f701,plain,(
% 0.10/0.39 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f666,f700])).
% 0.10/0.39 fof(f702,plain,(
% 0.10/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f701])).
% 0.10/0.39 fof(f703,plain,(
% 0.10/0.39 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.10/0.39 inference(resolution,[status(thm)],[f702,f26])).
% 0.10/0.39 fof(f704,plain,(
% 0.10/0.39 ~spl0_1|~spl0_2|~spl0_3|~spl0_11),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f703])).
% 0.10/0.39 fof(f732,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c5)=identity|~inverse(X0)=sk_c5|~spl0_2|~spl0_3|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f666,f101])).
% 0.10/0.39 fof(f802,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c7)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f672])).
% 0.10/0.39 fof(f808,plain,(
% 0.10/0.39 inverse(sk_c4)=multiply(sk_c7,inverse(identity))|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f802,f303])).
% 0.10/0.39 fof(f809,plain,(
% 0.10/0.39 sk_c3=multiply(sk_c7,inverse(identity))|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f580,f808])).
% 0.10/0.39 fof(f810,plain,(
% 0.10/0.39 sk_c3=multiply(sk_c7,identity)|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f134,f809])).
% 0.10/0.39 fof(f811,plain,(
% 0.10/0.39 sk_c3=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f810])).
% 0.10/0.39 fof(f1712,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c4|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f811,f62])).
% 0.10/0.39 fof(f1719,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c5|~spl0_1|~spl0_2|~spl0_3|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f732])).
% 0.10/0.39 fof(f1720,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f1719])).
% 0.10/0.39 fof(f1722,plain,(
% 0.10/0.39 ~inverse(inverse(sk_c7))=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_10),
% 0.10/0.39 inference(resolution,[status(thm)],[f1720,f26])).
% 0.10/0.39 fof(f1723,plain,(
% 0.10/0.39 ~sk_c7=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_10),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f155,f1722])).
% 0.10/0.39 fof(f1724,plain,(
% 0.10/0.39 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_10),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f1723])).
% 0.10/0.39 fof(f1725,plain,(
% 0.10/0.39 ~spl0_1|~spl0_2|~spl0_3|~spl0_10),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1724])).
% 0.10/0.39 fof(f1799,plain,(
% 0.10/0.39 spl0_12 <=> identity=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1800,plain,(
% 0.10/0.39 identity=sk_c6|~spl0_12),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1799])).
% 0.10/0.39 fof(f1801,plain,(
% 0.10/0.39 ~identity=sk_c6|spl0_12),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1799])).
% 0.10/0.39 fof(f1802,plain,(
% 0.10/0.39 spl0_13 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f1804,plain,(
% 0.10/0.39 ~inverse(inverse(sk_c7))=sk_c7|spl0_13),
% 0.10/0.39 inference(component_clause,[status(thm)],[f1802])).
% 0.10/0.39 fof(f1805,plain,(
% 0.10/0.39 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_9),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f26,f98])).
% 0.10/0.39 fof(f1806,plain,(
% 0.10/0.39 ~spl0_12|~spl0_13|~spl0_9),
% 0.10/0.39 inference(split_clause,[status(thm)],[f1805,f1799,f1802,f97])).
% 0.10/0.39 fof(f1817,plain,(
% 0.10/0.39 ~sk_c7=sk_c7|spl0_13),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f155,f1804])).
% 0.10/0.39 fof(f1818,plain,(
% 0.10/0.39 $false|spl0_13),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f1817])).
% 0.10/0.39 fof(f1819,plain,(
% 0.10/0.39 spl0_13),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1818])).
% 0.10/0.39 fof(f1880,plain,(
% 0.10/0.39 sk_c6=multiply(inverse(sk_c5),sk_c5)|~spl0_8|~spl0_7),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f640,f113])).
% 0.10/0.39 fof(f1881,plain,(
% 0.10/0.39 sk_c6=identity|~spl0_8|~spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f26,f1880])).
% 0.10/0.39 fof(f1882,plain,(
% 0.10/0.39 $false|spl0_12|~spl0_8|~spl0_7),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1881,f1801])).
% 0.10/0.39 fof(f1883,plain,(
% 0.10/0.39 spl0_12|~spl0_8|~spl0_7),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f1882])).
% 0.10/0.39 fof(f1886,plain,(
% 0.10/0.39 multiply(sk_c7,identity)=sk_c5|~spl0_8|~spl0_7|~spl0_0),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f1881,f51])).
% 0.10/0.39 fof(f1887,plain,(
% 0.10/0.39 sk_c7=sk_c5|~spl0_8|~spl0_7|~spl0_0),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f1886])).
% 0.10/0.39 fof(f2619,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c5|~spl0_8|~spl0_7|~spl0_0|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1887,f101])).
% 0.10/0.39 fof(f2620,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c5|~spl0_8|~spl0_7|~spl0_0|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1881,f2619])).
% 0.10/0.39 fof(f2621,plain,(
% 0.10/0.39 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_10)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1887,f2620])).
% 0.10/0.39 fof(f2652,plain,(
% 0.10/0.39 spl0_16 <=> ~multiply(inverse(X0),sk_c5)=sk_c6),
% 0.10/0.39 introduced(split_symbol_definition)).
% 0.10/0.39 fof(f2653,plain,(
% 0.10/0.39 ![X0]: (~multiply(inverse(X0),sk_c5)=sk_c6|~spl0_16)),
% 0.10/0.39 inference(component_clause,[status(thm)],[f2652])).
% 0.10/0.39 fof(f2655,plain,(
% 0.10/0.39 ~spl0_12|spl0_16|~spl0_11),
% 0.10/0.39 inference(split_clause,[status(thm)],[f698,f1799,f2652,f103])).
% 0.10/0.39 fof(f2672,plain,(
% 0.10/0.39 spl0_12|~spl0_2|~spl0_3),
% 0.10/0.39 inference(split_clause,[status(thm)],[f666,f1799,f57,f61])).
% 0.10/0.39 fof(f2703,plain,(
% 0.10/0.39 inverse(sk_c7)=sk_c2|~spl0_2|~spl0_3|~spl0_1|~spl0_8),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f585])).
% 0.10/0.39 fof(f2704,plain,(
% 0.10/0.39 sk_c4=sk_c2|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1712,f2703])).
% 0.10/0.39 fof(f2732,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c7)=sk_c6|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f66])).
% 0.10/0.39 fof(f2733,plain,(
% 0.10/0.39 multiply(sk_c4,sk_c7)=identity|~spl0_12|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f2732])).
% 0.10/0.39 fof(f3103,plain,(
% 0.10/0.39 ~multiply(sk_c4,sk_c5)=sk_c6|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f2704,f85])).
% 0.10/0.39 fof(f3104,plain,(
% 0.10/0.39 ~multiply(sk_c4,sk_c7)=sk_c6|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f668,f3103])).
% 0.10/0.39 fof(f3105,plain,(
% 0.10/0.39 ~identity=sk_c6|~spl0_12|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f2733,f3104])).
% 0.10/0.39 fof(f3106,plain,(
% 0.10/0.39 ~identity=identity|~spl0_12|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f3105])).
% 0.10/0.39 fof(f3107,plain,(
% 0.10/0.39 $false|~spl0_12|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f3106])).
% 0.10/0.39 fof(f3108,plain,(
% 0.10/0.39 ~spl0_12|~spl0_4|~spl0_2|~spl0_3|~spl0_1|~spl0_8|spl0_7),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f3107])).
% 0.10/0.39 fof(f3156,plain,(
% 0.10/0.39 ~inverse(inverse(sk_c7))=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_10),
% 0.10/0.39 inference(resolution,[status(thm)],[f2621,f26])).
% 0.10/0.39 fof(f3157,plain,(
% 0.10/0.39 ~spl0_13|~spl0_8|~spl0_7|~spl0_0|~spl0_10),
% 0.10/0.39 inference(split_clause,[status(thm)],[f3156,f1802,f90,f83,f50,f100])).
% 0.10/0.39 fof(f3232,plain,(
% 0.10/0.39 multiply(sk_c5,identity)=sk_c7|~spl0_12|~spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f54])).
% 0.10/0.39 fof(f3233,plain,(
% 0.10/0.39 sk_c5=sk_c7|~spl0_12|~spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f3232])).
% 0.10/0.39 fof(f3235,plain,(
% 0.10/0.39 ~multiply(sk_c7,identity)=sk_c5|~spl0_12|spl0_0),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f52])).
% 0.10/0.39 fof(f3236,plain,(
% 0.10/0.39 ~sk_c7=sk_c5|~spl0_12|spl0_0),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f3235])).
% 0.10/0.39 fof(f3338,plain,(
% 0.10/0.39 ~sk_c7=sk_c7|~spl0_1|~spl0_12|spl0_0),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f3233,f3236])).
% 0.10/0.39 fof(f3339,plain,(
% 0.10/0.39 $false|~spl0_1|~spl0_12|spl0_0),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f3338])).
% 0.10/0.39 fof(f3340,plain,(
% 0.10/0.39 ~spl0_1|~spl0_12|spl0_0),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f3339])).
% 0.10/0.39 fof(f3341,plain,(
% 0.10/0.39 ~multiply(sk_c5,identity)=sk_c7|~spl0_12|spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f55])).
% 0.10/0.39 fof(f3342,plain,(
% 0.10/0.39 ~sk_c5=sk_c7|~spl0_12|spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f153,f3341])).
% 0.10/0.39 fof(f3343,plain,(
% 0.10/0.39 ~sk_c7=sk_c7|~spl0_8|~spl0_7|~spl0_0|~spl0_12|spl0_1),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1887,f3342])).
% 0.10/0.39 fof(f3344,plain,(
% 0.10/0.39 $false|~spl0_8|~spl0_7|~spl0_0|~spl0_12|spl0_1),
% 0.10/0.39 inference(trivial_equality_resolution,[status(esa)],[f3343])).
% 0.10/0.39 fof(f3345,plain,(
% 0.10/0.39 ~spl0_8|~spl0_7|~spl0_0|~spl0_12|spl0_1),
% 0.10/0.39 inference(contradiction_clause,[status(thm)],[f3344])).
% 0.10/0.39 fof(f3346,plain,(
% 0.10/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_8|~spl0_7|~spl0_0|~spl0_16)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1887,f2653])).
% 0.10/0.39 fof(f3347,plain,(
% 0.10/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_12|~spl0_8|~spl0_7|~spl0_0|~spl0_16)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f1800,f3346])).
% 0.10/0.39 fof(f4084,plain,(
% 0.10/0.39 $false|~spl0_12|~spl0_8|~spl0_7|~spl0_0|~spl0_16),
% 0.10/0.39 inference(resolution,[status(thm)],[f3347,f26])).
% 0.10/0.39 fof(f4085,plain,(
% 0.10/0.39 ~spl0_12|~spl0_8|~spl0_7|~spl0_0|~spl0_16),
% 0.31/0.63 inference(contradiction_clause,[status(thm)],[f4084])).
% 0.31/0.63 fof(f4086,plain,(
% 0.31/0.63 $false),
% 0.31/0.63 inference(sat_refutation,[status(thm)],[f56,f68,f86,f87,f88,f93,f94,f95,f106,f704,f1725,f1806,f1819,f1883,f2655,f2672,f3108,f3157,f3340,f3345,f4085])).
% 0.31/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.31/0.63 % Elapsed time: 0.068601 seconds
% 0.31/0.63 % CPU time: 0.112146 seconds
% 0.31/0.63 % Memory used: 14.827 MB
%------------------------------------------------------------------------------