TSTP Solution File: SWC346-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:40:07 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:15:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 strictorderedP(nil) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 ssList(nil) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f56,axiom,(
% 0.13/0.39 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f66,axiom,(
% 0.13/0.39 (![U]: (( ~ ssItem(U)| strictorderedP(cons(U,nil)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f73,axiom,(
% 0.13/0.39 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f74,axiom,(
% 0.13/0.39 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f80,axiom,(
% 0.13/0.39 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f86,axiom,(
% 0.13/0.39 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f127,axiom,(
% 0.13/0.39 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f150,axiom,(
% 0.13/0.39 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f151,axiom,(
% 0.13/0.39 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f152,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f173,axiom,(
% 0.13/0.39 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f187,negated_conjecture,(
% 0.13/0.39 ssList(sk2) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f190,negated_conjecture,(
% 0.13/0.39 sk2 = sk4 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f191,negated_conjecture,(
% 0.13/0.39 sk1 = sk3 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f193,negated_conjecture,(
% 0.13/0.39 ( ssItem(sk5)| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f200,negated_conjecture,(
% 0.13/0.39 ( ssList(sk6)| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f201,negated_conjecture,(
% 0.13/0.39 ( ssList(sk7)| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f202,negated_conjecture,(
% 0.13/0.39 ( cons(sk5,nil) = sk3| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f203,negated_conjecture,(
% 0.13/0.39 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f206,negated_conjecture,(
% 0.13/0.39 ( ~ segmentP(sk2,sk1)| ~ strictorderedP(sk1) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 strictorderedP(nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.39 fof(f214,plain,(
% 0.13/0.39 ssList(nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f56])).
% 0.13/0.39 fof(f272,plain,(
% 0.13/0.39 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f73])).
% 0.13/0.39 fof(f281,plain,(
% 0.13/0.39 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.39 fof(f287,plain,(
% 0.13/0.39 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f80])).
% 0.13/0.39 fof(f293,plain,(
% 0.13/0.39 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.39 fof(f346,plain,(
% 0.13/0.39 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f127])).
% 0.13/0.39 fof(f376,plain,(
% 0.13/0.39 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f150])).
% 0.13/0.39 fof(f377,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f376])).
% 0.13/0.39 fof(f378,plain,(
% 0.13/0.39 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f151])).
% 0.13/0.39 fof(f379,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f378])).
% 0.13/0.39 fof(f380,plain,(
% 0.13/0.39 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f152])).
% 0.13/0.39 fof(f381,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f380])).
% 0.13/0.39 fof(f412,plain,(
% 0.13/0.39 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f173])).
% 0.13/0.39 fof(f413,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f412])).
% 0.13/0.39 fof(f438,plain,(
% 0.13/0.39 ssList(sk2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.39 fof(f441,plain,(
% 0.13/0.39 sk2=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.39 fof(f442,plain,(
% 0.13/0.39 sk1=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.39 fof(f444,plain,(
% 0.13/0.39 ssItem(sk5)|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.39 fof(f453,plain,(
% 0.13/0.39 ssList(sk6)|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.39 fof(f454,plain,(
% 0.13/0.39 ssList(sk7)|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f201])).
% 0.13/0.39 fof(f455,plain,(
% 0.13/0.39 cons(sk5,nil)=sk3|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f202])).
% 0.13/0.39 fof(f456,plain,(
% 0.13/0.39 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f203])).
% 0.13/0.39 fof(f461,plain,(
% 0.13/0.39 ~segmentP(sk2,sk1)|~strictorderedP(sk1)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f206])).
% 0.13/0.39 fof(f469,plain,(
% 0.13/0.39 spl0_2 <=> ssItem(sk5)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f476,plain,(
% 0.13/0.39 spl0_4 <=> nil=sk3),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f477,plain,(
% 0.13/0.39 nil=sk3|~spl0_4),
% 0.13/0.39 inference(component_clause,[status(thm)],[f476])).
% 0.13/0.39 fof(f479,plain,(
% 0.13/0.39 spl0_2|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f444,f469,f476])).
% 0.13/0.39 fof(f480,plain,(
% 0.13/0.39 spl0_5 <=> ssList(sk6)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f484,plain,(
% 0.13/0.39 spl0_6 <=> ssList(sk7)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f488,plain,(
% 0.13/0.39 spl0_7 <=> cons(sk5,nil)=sk3),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f489,plain,(
% 0.13/0.39 cons(sk5,nil)=sk3|~spl0_7),
% 0.13/0.39 inference(component_clause,[status(thm)],[f488])).
% 0.13/0.39 fof(f492,plain,(
% 0.13/0.39 spl0_8 <=> app(app(sk6,sk3),sk7)=sk4),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f493,plain,(
% 0.13/0.39 app(app(sk6,sk3),sk7)=sk4|~spl0_8),
% 0.13/0.39 inference(component_clause,[status(thm)],[f492])).
% 0.13/0.39 fof(f504,plain,(
% 0.13/0.39 spl0_5|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f453,f480,f476])).
% 0.13/0.39 fof(f505,plain,(
% 0.13/0.39 spl0_6|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f454,f484,f476])).
% 0.13/0.39 fof(f506,plain,(
% 0.13/0.39 spl0_7|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f455,f488,f476])).
% 0.13/0.39 fof(f507,plain,(
% 0.13/0.39 spl0_8|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f456,f492,f476])).
% 0.13/0.39 fof(f510,plain,(
% 0.13/0.39 spl0_11 <=> segmentP(sk2,sk1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f512,plain,(
% 0.13/0.39 ~segmentP(sk2,sk1)|spl0_11),
% 0.13/0.39 inference(component_clause,[status(thm)],[f510])).
% 0.13/0.39 fof(f513,plain,(
% 0.13/0.39 spl0_12 <=> strictorderedP(sk1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f515,plain,(
% 0.13/0.39 ~strictorderedP(sk1)|spl0_12),
% 0.13/0.39 inference(component_clause,[status(thm)],[f513])).
% 0.13/0.39 fof(f516,plain,(
% 0.13/0.39 ~spl0_11|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f461,f510,f513])).
% 0.13/0.39 fof(f535,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f413])).
% 0.13/0.39 fof(f548,plain,(
% 0.13/0.39 spl0_13 <=> ssList(nil)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f550,plain,(
% 0.13/0.39 ~ssList(nil)|spl0_13),
% 0.13/0.39 inference(component_clause,[status(thm)],[f548])).
% 0.13/0.39 fof(f551,plain,(
% 0.13/0.39 spl0_14 <=> nil=nil),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f554,plain,(
% 0.13/0.39 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.39 inference(resolution,[status(thm)],[f287,f262])).
% 0.13/0.39 fof(f555,plain,(
% 0.13/0.39 ~spl0_13|spl0_14),
% 0.13/0.39 inference(split_clause,[status(thm)],[f554,f548,f551])).
% 0.13/0.39 fof(f558,plain,(
% 0.13/0.39 $false|spl0_13),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f550,f214])).
% 0.13/0.39 fof(f559,plain,(
% 0.13/0.39 spl0_13),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f558])).
% 0.13/0.39 fof(f560,plain,(
% 0.13/0.39 nil=sk1|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f442,f477])).
% 0.13/0.39 fof(f572,plain,(
% 0.13/0.39 ~strictorderedP(nil)|~spl0_4|spl0_12),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f560,f515])).
% 0.13/0.39 fof(f573,plain,(
% 0.13/0.39 $false|~spl0_4|spl0_12),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f572,f209])).
% 0.13/0.39 fof(f574,plain,(
% 0.13/0.39 ~spl0_4|spl0_12),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f573])).
% 0.13/0.39 fof(f580,plain,(
% 0.13/0.39 ~segmentP(sk2,nil)|~spl0_4|spl0_11),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f560,f512])).
% 0.13/0.39 fof(f593,plain,(
% 0.13/0.39 ~ssList(sk2)|~spl0_4|spl0_11),
% 0.13/0.39 inference(resolution,[status(thm)],[f580,f262])).
% 0.13/0.39 fof(f601,plain,(
% 0.13/0.39 $false|~spl0_4|spl0_11),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f438,f593])).
% 0.13/0.39 fof(f602,plain,(
% 0.13/0.39 ~spl0_4|spl0_11),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f601])).
% 0.13/0.39 fof(f603,plain,(
% 0.13/0.39 app(app(sk6,sk3),sk7)=sk2|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f441,f493])).
% 0.13/0.39 fof(f606,plain,(
% 0.13/0.39 cons(sk5,nil)=sk1|~spl0_7),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f442,f489])).
% 0.13/0.39 fof(f607,plain,(
% 0.13/0.39 app(app(sk6,sk1),sk7)=sk2|~spl0_8),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f442,f603])).
% 0.13/0.39 fof(f620,plain,(
% 0.13/0.39 spl0_17 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f623,plain,(
% 0.13/0.39 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f346,f262])).
% 0.13/0.39 fof(f624,plain,(
% 0.13/0.39 spl0_17|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f623,f620,f548])).
% 0.13/0.39 fof(f654,plain,(
% 0.13/0.39 ~ssItem(sk5)|strictorderedP(sk1)|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f606,f272])).
% 0.13/0.39 fof(f655,plain,(
% 0.13/0.39 ~spl0_2|spl0_12|~spl0_7),
% 0.13/0.39 inference(split_clause,[status(thm)],[f654,f469,f513,f488])).
% 0.13/0.39 fof(f678,plain,(
% 0.13/0.39 spl0_25 <=> ssList(sk1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f681,plain,(
% 0.13/0.39 ~ssItem(sk5)|~ssList(nil)|ssList(sk1)|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f606,f293])).
% 0.13/0.39 fof(f682,plain,(
% 0.13/0.39 ~spl0_2|~spl0_13|spl0_25|~spl0_7),
% 0.13/0.39 inference(split_clause,[status(thm)],[f681,f469,f548,f678,f488])).
% 0.13/0.39 fof(f779,plain,(
% 0.13/0.39 spl0_34 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f377,f281])).
% 0.13/0.39 fof(f783,plain,(
% 0.13/0.39 spl0_34|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f782,f779,f548])).
% 0.13/0.39 fof(f802,plain,(
% 0.13/0.39 spl0_38 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f805,plain,(
% 0.13/0.39 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f379,f280])).
% 0.13/0.39 fof(f806,plain,(
% 0.13/0.39 spl0_38|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f805,f802,f548])).
% 0.13/0.39 fof(f826,plain,(
% 0.13/0.39 spl0_41 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f829,plain,(
% 0.13/0.39 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f381,f262])).
% 0.13/0.39 fof(f830,plain,(
% 0.13/0.39 spl0_41|~spl0_13),
% 0.20/0.41 inference(split_clause,[status(thm)],[f829,f826,f548])).
% 0.20/0.41 fof(f1132,plain,(
% 0.20/0.41 spl0_75 <=> ssList(app(app(sk6,sk1),sk7))),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f1134,plain,(
% 0.20/0.41 ~ssList(app(app(sk6,sk1),sk7))|spl0_75),
% 0.20/0.41 inference(component_clause,[status(thm)],[f1132])).
% 0.20/0.41 fof(f1135,plain,(
% 0.20/0.41 ~ssList(sk7)|~ssList(sk6)|~ssList(sk1)|~ssList(app(app(sk6,sk1),sk7))|segmentP(sk2,sk1)|~spl0_8),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f607,f535])).
% 0.20/0.41 fof(f1136,plain,(
% 0.20/0.41 ~spl0_6|~spl0_5|~spl0_25|~spl0_75|spl0_11|~spl0_8),
% 0.20/0.41 inference(split_clause,[status(thm)],[f1135,f484,f480,f678,f1132,f510,f492])).
% 0.20/0.41 fof(f1147,plain,(
% 0.20/0.41 ~ssList(sk2)|~spl0_8|spl0_75),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f607,f1134])).
% 0.20/0.41 fof(f1148,plain,(
% 0.20/0.41 $false|~spl0_8|spl0_75),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1147,f438])).
% 0.20/0.41 fof(f1149,plain,(
% 0.20/0.41 ~spl0_8|spl0_75),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f1148])).
% 0.20/0.41 fof(f1150,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(sat_refutation,[status(thm)],[f479,f504,f505,f506,f507,f516,f555,f559,f574,f602,f624,f655,f682,f783,f806,f830,f1136,f1149])).
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.055599 seconds
% 0.20/0.41 % CPU time: 0.240684 seconds
% 0.20/0.41 % Memory used: 29.437 MB
%------------------------------------------------------------------------------