TSTP Solution File: SET023-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET023-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:38:43 EDT 2024
% Result : Unsatisfiable 2.10s 0.71s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET023-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n012.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 21:38:56 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V3.6.0
% 2.10/0.71 % Refutation found
% 2.10/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.10/0.71 % SZS output start CNFRefutation for theBenchmark
% 2.10/0.71 fof(f1,axiom,(
% 2.10/0.71 (![X,Y]: (( ~ member(X,Y)| little_set(X) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f3,axiom,(
% 2.10/0.71 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f6,axiom,(
% 2.10/0.71 (![U,X,Y]: (( member(U,non_ordered_pair(X,Y))| ~ little_set(U)| U != X ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f7,axiom,(
% 2.10/0.71 (![U,X,Y]: (( member(U,non_ordered_pair(X,Y))| ~ little_set(U)| U != Y ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f8,axiom,(
% 2.10/0.71 (![X,Y]: (little_set(non_ordered_pair(X,Y)) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f9,axiom,(
% 2.10/0.71 (![X]: (singleton_set(X) = non_ordered_pair(X,X) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f11,axiom,(
% 2.10/0.71 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f2(X)) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f12,axiom,(
% 2.10/0.71 (![X]: (( ~ ordered_pair_predicate(X)| little_set(f3(X)) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f13,axiom,(
% 2.10/0.71 (![X]: (( ~ ordered_pair_predicate(X)| X = ordered_pair(f2(X),f3(X)) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f24,axiom,(
% 2.10/0.71 (![Z,X,U,V]: (( member(Z,second(X))| ~ little_set(U)| ~ little_set(V)| X != ordered_pair(U,V)| ~ member(Z,V) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f59,axiom,(
% 2.10/0.71 (![Z]: (( member(Z,universal_set)| ~ little_set(Z) ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f147,axiom,(
% 2.10/0.71 (![X,Y]: (( ~ little_set(X)| ~ little_set(Y)| second(ordered_pair(X,Y)) = Y ) ))),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f149,hypothesis,(
% 2.10/0.71 ordered_pair_predicate(a) ),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f150,negated_conjecture,(
% 2.10/0.71 ~ little_set(second(a)) ),
% 2.10/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.10/0.71 fof(f151,plain,(
% 2.10/0.71 ![X]: ((![Y]: ~member(X,Y))|little_set(X))),
% 2.10/0.71 inference(miniscoping,[status(esa)],[f1])).
% 2.10/0.71 fof(f152,plain,(
% 2.10/0.71 ![X0,X1]: (~member(X0,X1)|little_set(X0))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f151])).
% 2.10/0.71 fof(f154,plain,(
% 2.10/0.71 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f3])).
% 2.10/0.71 fof(f158,plain,(
% 2.10/0.71 ![U,X]: (((![Y]: member(U,non_ordered_pair(X,Y)))|~little_set(U))|~U=X)),
% 2.10/0.71 inference(miniscoping,[status(esa)],[f6])).
% 2.10/0.71 fof(f159,plain,(
% 2.10/0.71 ![X0,X1,X2]: (member(X0,non_ordered_pair(X1,X2))|~little_set(X0)|~X0=X1)),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f158])).
% 2.10/0.71 fof(f160,plain,(
% 2.10/0.71 ![U,Y]: (((![X]: member(U,non_ordered_pair(X,Y)))|~little_set(U))|~U=Y)),
% 2.10/0.71 inference(miniscoping,[status(esa)],[f7])).
% 2.10/0.71 fof(f161,plain,(
% 2.10/0.71 ![X0,X1,X2]: (member(X0,non_ordered_pair(X1,X2))|~little_set(X0)|~X0=X2)),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f160])).
% 2.10/0.71 fof(f162,plain,(
% 2.10/0.71 ![X0,X1]: (little_set(non_ordered_pair(X0,X1)))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f8])).
% 2.10/0.71 fof(f163,plain,(
% 2.10/0.71 ![X0]: (singleton_set(X0)=non_ordered_pair(X0,X0))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f9])).
% 2.10/0.71 fof(f165,plain,(
% 2.10/0.71 ![X0]: (~ordered_pair_predicate(X0)|little_set(f2(X0)))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f11])).
% 2.10/0.71 fof(f166,plain,(
% 2.10/0.71 ![X0]: (~ordered_pair_predicate(X0)|little_set(f3(X0)))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f12])).
% 2.10/0.71 fof(f167,plain,(
% 2.10/0.71 ![X0]: (~ordered_pair_predicate(X0)|X0=ordered_pair(f2(X0),f3(X0)))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f13])).
% 2.10/0.71 fof(f179,plain,(
% 2.10/0.71 ![Z,V]: ((![X,U]: (((member(Z,second(X))|~little_set(U))|~little_set(V))|~X=ordered_pair(U,V)))|~member(Z,V))),
% 2.10/0.71 inference(miniscoping,[status(esa)],[f24])).
% 2.10/0.71 fof(f180,plain,(
% 2.10/0.71 ![X0,X1,X2,X3]: (member(X0,second(X1))|~little_set(X2)|~little_set(X3)|~X1=ordered_pair(X2,X3)|~member(X0,X3))),
% 2.10/0.71 inference(cnf_transformation,[status(esa)],[f179])).
% 2.82/0.73 fof(f226,plain,(
% 2.82/0.73 ![X0]: (member(X0,universal_set)|~little_set(X0))),
% 2.82/0.73 inference(cnf_transformation,[status(esa)],[f59])).
% 2.82/0.73 fof(f336,plain,(
% 2.82/0.73 ![X0,X1]: (~little_set(X0)|~little_set(X1)|second(ordered_pair(X0,X1))=X1)),
% 2.82/0.73 inference(cnf_transformation,[status(esa)],[f147])).
% 2.82/0.73 fof(f338,plain,(
% 2.82/0.73 ordered_pair_predicate(a)),
% 2.82/0.73 inference(cnf_transformation,[status(esa)],[f149])).
% 2.82/0.73 fof(f339,plain,(
% 2.82/0.73 ~little_set(second(a))),
% 2.82/0.73 inference(cnf_transformation,[status(esa)],[f150])).
% 2.82/0.73 fof(f340,plain,(
% 2.82/0.73 ![X0,X1]: (member(X0,non_ordered_pair(X0,X1))|~little_set(X0))),
% 2.82/0.73 inference(destructive_equality_resolution,[status(esa)],[f159])).
% 2.82/0.73 fof(f341,plain,(
% 2.82/0.73 ![X0,X1]: (member(X0,non_ordered_pair(X1,X0))|~little_set(X0))),
% 2.82/0.73 inference(destructive_equality_resolution,[status(esa)],[f161])).
% 2.82/0.73 fof(f344,plain,(
% 2.82/0.73 ![X0,X1,X2]: (member(X0,second(ordered_pair(X1,X2)))|~little_set(X1)|~little_set(X2)|~member(X0,X2))),
% 2.82/0.73 inference(destructive_equality_resolution,[status(esa)],[f180])).
% 2.82/0.73 fof(f388,plain,(
% 2.82/0.73 ![X0,X1]: (member(non_ordered_pair(X0,X1),universal_set))),
% 2.82/0.73 inference(resolution,[status(thm)],[f162,f226])).
% 2.82/0.73 fof(f449,plain,(
% 2.82/0.73 ![X0,X1,X2]: (~little_set(X0)|second(ordered_pair(X0,X1))=X1|~member(X1,X2))),
% 2.82/0.73 inference(resolution,[status(thm)],[f336,f152])).
% 2.82/0.73 fof(f450,plain,(
% 2.82/0.73 ![X0,X1,X2,X3]: (second(ordered_pair(X0,X1))=X1|~member(X1,X2)|~member(X0,X3))),
% 2.82/0.73 inference(resolution,[status(thm)],[f449,f152])).
% 2.82/0.73 fof(f451,plain,(
% 2.82/0.73 ![X0,X1,X2,X3]: (member(X0,second(ordered_pair(X1,X2)))|~little_set(X1)|~member(X0,X2)|~member(X2,X3))),
% 2.82/0.73 inference(resolution,[status(thm)],[f344,f152])).
% 2.82/0.73 fof(f469,plain,(
% 2.82/0.73 ![X0,X1,X2,X3,X4]: (member(X0,second(ordered_pair(X1,X2)))|~member(X0,X2)|~member(X2,X3)|~member(X1,X4))),
% 2.82/0.73 inference(resolution,[status(thm)],[f451,f152])).
% 2.82/0.73 fof(f484,plain,(
% 2.82/0.73 ![X0,X1]: (member(X0,universal_set)|~member(X0,X1))),
% 2.82/0.73 inference(resolution,[status(thm)],[f226,f152])).
% 2.82/0.73 fof(f506,plain,(
% 2.82/0.73 ![X0,X1,X2]: (member(X0,non_ordered_pair(X1,X0))|~member(X0,X2))),
% 2.82/0.73 inference(resolution,[status(thm)],[f341,f152])).
% 2.82/0.73 fof(f516,plain,(
% 2.82/0.73 ![X0,X1,X2]: (member(non_ordered_pair(X0,X1),non_ordered_pair(X2,non_ordered_pair(X0,X1))))),
% 2.82/0.73 inference(resolution,[status(thm)],[f506,f388])).
% 2.82/0.73 fof(f524,plain,(
% 2.82/0.73 little_set(f2(a))),
% 2.82/0.73 inference(resolution,[status(thm)],[f165,f338])).
% 2.82/0.73 fof(f526,plain,(
% 2.82/0.73 little_set(f3(a))),
% 2.82/0.73 inference(resolution,[status(thm)],[f166,f338])).
% 2.82/0.73 fof(f528,plain,(
% 2.82/0.73 a=ordered_pair(f2(a),f3(a))),
% 2.82/0.73 inference(resolution,[status(thm)],[f167,f338])).
% 2.82/0.73 fof(f538,plain,(
% 2.82/0.73 ![X0,X1]: (member(non_ordered_pair(X0,X1),singleton_set(non_ordered_pair(X0,X1))))),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f163,f516])).
% 2.82/0.73 fof(f547,plain,(
% 2.82/0.73 ![X0]: (member(singleton_set(X0),singleton_set(non_ordered_pair(X0,X0))))),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f163,f538])).
% 2.82/0.73 fof(f548,plain,(
% 2.82/0.73 ![X0]: (member(singleton_set(X0),singleton_set(singleton_set(X0))))),
% 2.82/0.73 inference(forward_demodulation,[status(thm)],[f163,f547])).
% 2.82/0.73 fof(f563,plain,(
% 2.82/0.73 ![X0]: (member(f2(a),non_ordered_pair(f2(a),X0)))),
% 2.82/0.73 inference(resolution,[status(thm)],[f524,f340])).
% 2.82/0.73 fof(f566,plain,(
% 2.82/0.73 ![X0,X1,X2]: (member(X0,second(ordered_pair(f2(a),X1)))|~member(X0,X1)|~member(X1,X2))),
% 2.82/0.73 inference(resolution,[status(thm)],[f524,f451])).
% 2.82/0.73 fof(f588,plain,(
% 2.82/0.73 ![X0]: (member(f3(a),non_ordered_pair(f3(a),X0)))),
% 2.82/0.73 inference(resolution,[status(thm)],[f526,f340])).
% 2.82/0.73 fof(f611,plain,(
% 2.82/0.73 ![X0]: (member(singleton_set(X0),universal_set))),
% 2.82/0.73 inference(resolution,[status(thm)],[f548,f484])).
% 2.82/0.73 fof(f635,plain,(
% 2.82/0.73 spl0_7 <=> little_set(f3(a))),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f637,plain,(
% 2.82/0.73 ~little_set(f3(a))|spl0_7),
% 2.82/0.73 inference(component_clause,[status(thm)],[f635])).
% 2.82/0.73 fof(f652,plain,(
% 2.82/0.73 $false|spl0_7),
% 2.82/0.73 inference(forward_subsumption_resolution,[status(thm)],[f637,f526])).
% 2.82/0.73 fof(f653,plain,(
% 2.82/0.73 spl0_7),
% 2.82/0.73 inference(contradiction_clause,[status(thm)],[f652])).
% 2.82/0.73 fof(f680,plain,(
% 2.82/0.73 spl0_9 <=> f2(a)=X0),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f681,plain,(
% 2.82/0.73 ![X0]: (f2(a)=X0|~spl0_9)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f680])).
% 2.82/0.73 fof(f692,plain,(
% 2.82/0.73 member(f2(a),singleton_set(f2(a)))),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f163,f563])).
% 2.82/0.73 fof(f787,plain,(
% 2.82/0.73 spl0_11 <=> f3(a)=X0),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f788,plain,(
% 2.82/0.73 ![X0]: (f3(a)=X0|~spl0_11)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f787])).
% 2.82/0.73 fof(f805,plain,(
% 2.82/0.73 member(f3(a),singleton_set(f3(a)))),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f163,f588])).
% 2.82/0.73 fof(f858,plain,(
% 2.82/0.73 spl0_12 <=> member(X0,second(a))|~member(X0,f3(a))),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f859,plain,(
% 2.82/0.73 ![X0]: (member(X0,second(a))|~member(X0,f3(a))|~spl0_12)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f858])).
% 2.82/0.73 fof(f861,plain,(
% 2.82/0.73 spl0_13 <=> ~member(f3(a),X1)),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f862,plain,(
% 2.82/0.73 ![X0]: (~member(f3(a),X0)|~spl0_13)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f861])).
% 2.82/0.73 fof(f864,plain,(
% 2.82/0.73 ![X0,X1]: (member(X0,second(a))|~member(X0,f3(a))|~member(f3(a),X1))),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f528,f566])).
% 2.82/0.73 fof(f865,plain,(
% 2.82/0.73 spl0_12|spl0_13),
% 2.82/0.73 inference(split_clause,[status(thm)],[f864,f858,f861])).
% 2.82/0.73 fof(f869,plain,(
% 2.82/0.73 spl0_15 <=> ~member(f2(a),X1)),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f870,plain,(
% 2.82/0.73 ![X0]: (~member(f2(a),X0)|~spl0_15)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f869])).
% 2.82/0.73 fof(f959,plain,(
% 2.82/0.73 ![X0]: (member(f1(X0,f3(a)),second(a))|member(f1(X0,f3(a)),X0)|X0=f3(a)|~spl0_12)),
% 2.82/0.73 inference(resolution,[status(thm)],[f859,f154])).
% 2.82/0.73 fof(f963,plain,(
% 2.82/0.73 ![X0,X1,X2,X3]: (member(f1(X0,f3(a)),X0)|X0=f3(a)|member(X1,second(ordered_pair(f1(X0,f3(a)),X2)))|~member(X1,X2)|~member(X2,X3)|~spl0_12)),
% 2.82/0.73 inference(resolution,[status(thm)],[f959,f469])).
% 2.82/0.73 fof(f964,plain,(
% 2.82/0.73 ![X0,X1,X2,X3]: (X0=f3(a)|member(X1,second(ordered_pair(f1(X0,f3(a)),X2)))|~member(X1,X2)|~member(X2,X3)|~spl0_12)),
% 2.82/0.73 inference(forward_subsumption_resolution,[status(thm)],[f963,f469])).
% 2.82/0.73 fof(f1023,plain,(
% 2.82/0.73 spl0_26 <=> ~member(X1,X2)|~member(X2,X3)|second(ordered_pair(X4,X1))=X1|~member(X4,X5)),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f1024,plain,(
% 2.82/0.73 ![X0,X1,X2,X3,X4]: (~member(X0,X1)|~member(X1,X2)|second(ordered_pair(X3,X0))=X0|~member(X3,X4)|~spl0_26)),
% 2.82/0.73 inference(component_clause,[status(thm)],[f1023])).
% 2.82/0.73 fof(f1026,plain,(
% 2.82/0.73 ![X0,X1,X2,X3,X4,X5]: (X0=f3(a)|~member(X1,X2)|~member(X2,X3)|second(ordered_pair(X4,X1))=X1|~member(X4,X5)|~spl0_12)),
% 2.82/0.73 inference(resolution,[status(thm)],[f964,f450])).
% 2.82/0.73 fof(f1027,plain,(
% 2.82/0.73 spl0_11|spl0_26|~spl0_12),
% 2.82/0.73 inference(split_clause,[status(thm)],[f1026,f787,f1023,f858])).
% 2.82/0.73 fof(f1063,plain,(
% 2.82/0.73 ![X0]: (little_set(X0)|~spl0_11)),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f788,f526])).
% 2.82/0.73 fof(f1094,plain,(
% 2.82/0.73 $false|~spl0_11),
% 2.82/0.73 inference(backward_subsumption_resolution,[status(thm)],[f339,f1063])).
% 2.82/0.73 fof(f1095,plain,(
% 2.82/0.73 ~spl0_11),
% 2.82/0.73 inference(contradiction_clause,[status(thm)],[f1094])).
% 2.82/0.73 fof(f1096,plain,(
% 2.82/0.73 $false|~spl0_15),
% 2.82/0.73 inference(backward_subsumption_resolution,[status(thm)],[f692,f870])).
% 2.82/0.73 fof(f1097,plain,(
% 2.82/0.73 ~spl0_15),
% 2.82/0.73 inference(contradiction_clause,[status(thm)],[f1096])).
% 2.82/0.73 fof(f1098,plain,(
% 2.82/0.73 $false|~spl0_13),
% 2.82/0.73 inference(backward_subsumption_resolution,[status(thm)],[f805,f862])).
% 2.82/0.73 fof(f1099,plain,(
% 2.82/0.73 ~spl0_13),
% 2.82/0.73 inference(contradiction_clause,[status(thm)],[f1098])).
% 2.82/0.73 fof(f1106,plain,(
% 2.82/0.73 ![X0,X1,X2,X3]: (~member(X0,singleton_set(X1))|second(ordered_pair(X2,X0))=X0|~member(X2,X3)|~spl0_26)),
% 2.82/0.73 inference(resolution,[status(thm)],[f1024,f611])).
% 2.82/0.73 fof(f1413,plain,(
% 2.82/0.73 ![X0]: (little_set(X0)|~spl0_9)),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f681,f524])).
% 2.82/0.73 fof(f1422,plain,(
% 2.82/0.73 $false|~spl0_9),
% 2.82/0.73 inference(backward_subsumption_resolution,[status(thm)],[f339,f1413])).
% 2.82/0.73 fof(f1423,plain,(
% 2.82/0.73 ~spl0_9),
% 2.82/0.73 inference(contradiction_clause,[status(thm)],[f1422])).
% 2.82/0.73 fof(f1834,plain,(
% 2.82/0.73 ![X0,X1]: (second(ordered_pair(X0,f3(a)))=f3(a)|~member(X0,X1)|~spl0_26)),
% 2.82/0.73 inference(resolution,[status(thm)],[f805,f1106])).
% 2.82/0.73 fof(f2237,plain,(
% 2.82/0.73 spl0_48 <=> second(a)=f3(a)),
% 2.82/0.73 introduced(split_symbol_definition)).
% 2.82/0.73 fof(f2238,plain,(
% 2.82/0.73 second(a)=f3(a)|~spl0_48),
% 2.82/0.73 inference(component_clause,[status(thm)],[f2237])).
% 2.82/0.73 fof(f2240,plain,(
% 2.82/0.73 ![X0]: (second(a)=f3(a)|~member(f2(a),X0)|~spl0_26)),
% 2.82/0.73 inference(paramodulation,[status(thm)],[f528,f1834])).
% 2.82/0.73 fof(f2241,plain,(
% 2.82/0.73 spl0_48|spl0_15|~spl0_26),
% 2.82/0.73 inference(split_clause,[status(thm)],[f2240,f2237,f869,f1023])).
% 2.82/0.73 fof(f2249,plain,(
% 2.82/0.73 ~little_set(f3(a))|~spl0_48),
% 2.82/0.73 inference(backward_demodulation,[status(thm)],[f2238,f339])).
% 2.82/0.73 fof(f2250,plain,(
% 2.82/0.73 ~spl0_7|~spl0_48),
% 2.82/0.73 inference(split_clause,[status(thm)],[f2249,f635,f2237])).
% 2.82/0.73 fof(f2255,plain,(
% 2.82/0.73 $false),
% 2.82/0.73 inference(sat_refutation,[status(thm)],[f653,f865,f1027,f1095,f1097,f1099,f1423,f2241,f2250])).
% 2.82/0.73 % SZS output end CNFRefutation for theBenchmark.p
% 2.82/0.73 % Elapsed time: 0.380946 seconds
% 2.82/0.73 % CPU time: 2.863134 seconds
% 2.82/0.73 % Total memory used: 97.702 MB
% 2.82/0.73 % Net memory used: 95.486 MB
%------------------------------------------------------------------------------