TSTP Solution File: SWC402-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC402-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:45:39 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC402-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 Apr 30 00:31:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f85,axiom,(
% 0.13/0.38 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f140,axiom,(
% 0.13/0.38 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f141,axiom,(
% 0.13/0.38 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f149,axiom,(
% 0.13/0.38 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f186,negated_conjecture,(
% 0.13/0.38 ssList(sk1) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f190,negated_conjecture,(
% 0.13/0.38 sk2 = sk4 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f191,negated_conjecture,(
% 0.13/0.38 sk1 = sk3 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f192,negated_conjecture,(
% 0.13/0.38 ssList(sk5) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f193,negated_conjecture,(
% 0.13/0.38 ssList(sk6) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f194,negated_conjecture,(
% 0.13/0.38 app(app(sk5,sk3),sk6) = sk4 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f198,negated_conjecture,(
% 0.13/0.38 ssItem(sk7) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f199,negated_conjecture,(
% 0.13/0.38 memberP(sk1,sk7) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f200,negated_conjecture,(
% 0.13/0.38 ~ memberP(sk2,sk7) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.38 fof(f356,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f140])).
% 0.13/0.38 fof(f357,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.38 fof(f370,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f149])).
% 0.13/0.38 fof(f432,plain,(
% 0.13/0.38 ssList(sk1)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.38 fof(f436,plain,(
% 0.13/0.38 sk2=sk4),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.38 fof(f437,plain,(
% 0.13/0.38 sk1=sk3),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.38 fof(f438,plain,(
% 0.13/0.38 ssList(sk5)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.38 fof(f439,plain,(
% 0.13/0.38 ssList(sk6)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.38 fof(f440,plain,(
% 0.13/0.38 app(app(sk5,sk3),sk6)=sk4),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.38 fof(f446,plain,(
% 0.13/0.38 ssItem(sk7)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.38 fof(f447,plain,(
% 0.13/0.38 memberP(sk1,sk7)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.38 fof(f448,plain,(
% 0.13/0.38 ~memberP(sk2,sk7)),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.38 fof(f507,plain,(
% 0.13/0.38 app(app(sk5,sk1),sk6)=sk4),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f437,f440])).
% 0.13/0.38 fof(f508,plain,(
% 0.13/0.38 app(app(sk5,sk1),sk6)=sk2),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f436,f507])).
% 0.13/0.38 fof(f512,plain,(
% 0.13/0.38 spl0_4 <=> ssList(sk6)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f514,plain,(
% 0.13/0.38 ~ssList(sk6)|spl0_4),
% 0.13/0.38 inference(component_clause,[status(thm)],[f512])).
% 0.13/0.38 fof(f536,plain,(
% 0.13/0.38 spl0_8 <=> ssList(sk1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f538,plain,(
% 0.13/0.38 ~ssList(sk1)|spl0_8),
% 0.13/0.38 inference(component_clause,[status(thm)],[f536])).
% 0.13/0.38 fof(f539,plain,(
% 0.13/0.38 spl0_9 <=> ssList(sk5)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f541,plain,(
% 0.13/0.38 ~ssList(sk5)|spl0_9),
% 0.13/0.38 inference(component_clause,[status(thm)],[f539])).
% 0.13/0.38 fof(f544,plain,(
% 0.13/0.38 $false|spl0_9),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f541,f438])).
% 0.13/0.38 fof(f545,plain,(
% 0.13/0.38 spl0_9),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f544])).
% 0.13/0.38 fof(f546,plain,(
% 0.13/0.38 $false|spl0_8),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f538,f432])).
% 0.13/0.38 fof(f547,plain,(
% 0.13/0.38 spl0_8),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f546])).
% 0.13/0.38 fof(f548,plain,(
% 0.13/0.38 $false|spl0_4),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f514,f439])).
% 0.13/0.38 fof(f549,plain,(
% 0.13/0.38 spl0_4),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f548])).
% 0.13/0.38 fof(f652,plain,(
% 0.13/0.38 spl0_26 <=> sk2=app(sk5,app(sk1,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f653,plain,(
% 0.13/0.38 sk2=app(sk5,app(sk1,sk6))|~spl0_26),
% 0.13/0.38 inference(component_clause,[status(thm)],[f652])).
% 0.13/0.38 fof(f655,plain,(
% 0.13/0.38 ~ssList(sk6)|~ssList(sk1)|~ssList(sk5)|sk2=app(sk5,app(sk1,sk6))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f508,f370])).
% 0.13/0.38 fof(f656,plain,(
% 0.13/0.38 ~spl0_4|~spl0_8|~spl0_9|spl0_26),
% 0.13/0.38 inference(split_clause,[status(thm)],[f655,f512,f536,f539,f652])).
% 0.13/0.38 fof(f665,plain,(
% 0.13/0.38 spl0_29 <=> ssList(app(sk1,sk6))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f667,plain,(
% 0.13/0.38 ~ssList(app(sk1,sk6))|spl0_29),
% 0.13/0.38 inference(component_clause,[status(thm)],[f665])).
% 0.13/0.38 fof(f670,plain,(
% 0.13/0.38 spl0_30 <=> ~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f671,plain,(
% 0.13/0.38 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_30)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f670])).
% 0.13/0.38 fof(f673,plain,(
% 0.13/0.38 ![X0]: (~memberP(app(sk1,sk6),X0)|~ssList(app(sk1,sk6))|~ssList(sk5)|~ssItem(X0)|memberP(sk2,X0)|~spl0_26)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f653,f357])).
% 0.13/0.38 fof(f674,plain,(
% 0.13/0.38 spl0_30|~spl0_29|~spl0_9|~spl0_26),
% 0.13/0.38 inference(split_clause,[status(thm)],[f673,f670,f665,f539,f652])).
% 0.13/0.38 fof(f701,plain,(
% 0.13/0.38 ~ssList(sk6)|~ssList(sk1)|spl0_29),
% 0.13/0.38 inference(resolution,[status(thm)],[f667,f287])).
% 0.13/0.38 fof(f702,plain,(
% 0.13/0.38 ~spl0_4|~spl0_8|spl0_29),
% 0.13/0.38 inference(split_clause,[status(thm)],[f701,f512,f536,f665])).
% 0.13/0.38 fof(f820,plain,(
% 0.13/0.38 spl0_47 <=> ~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f821,plain,(
% 0.13/0.38 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssItem(X0)|~spl0_47)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f820])).
% 0.13/0.38 fof(f823,plain,(
% 0.13/0.38 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~ssList(sk6)|~ssList(sk1)|~ssItem(X0)|~spl0_30)),
% 0.13/0.38 inference(resolution,[status(thm)],[f671,f356])).
% 0.13/0.38 fof(f824,plain,(
% 0.13/0.38 spl0_47|~spl0_4|~spl0_8|~spl0_30),
% 0.13/0.38 inference(split_clause,[status(thm)],[f823,f820,f512,f536,f670])).
% 0.13/0.38 fof(f825,plain,(
% 0.13/0.38 ![X0]: (~ssItem(X0)|memberP(sk2,X0)|~memberP(sk1,X0)|~spl0_47)),
% 0.13/0.38 inference(duplicate_literals_removal,[status(esa)],[f821])).
% 0.13/0.38 fof(f826,plain,(
% 0.13/0.38 spl0_48 <=> ssItem(sk7)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f828,plain,(
% 0.13/0.38 ~ssItem(sk7)|spl0_48),
% 0.13/0.38 inference(component_clause,[status(thm)],[f826])).
% 0.13/0.38 fof(f829,plain,(
% 0.13/0.38 spl0_49 <=> memberP(sk2,sk7)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f830,plain,(
% 0.13/0.38 memberP(sk2,sk7)|~spl0_49),
% 0.13/0.38 inference(component_clause,[status(thm)],[f829])).
% 0.13/0.38 fof(f832,plain,(
% 0.13/0.38 ~ssItem(sk7)|memberP(sk2,sk7)|~spl0_47),
% 0.13/0.38 inference(resolution,[status(thm)],[f825,f447])).
% 0.13/0.38 fof(f833,plain,(
% 0.13/0.38 ~spl0_48|spl0_49|~spl0_47),
% 0.13/0.38 inference(split_clause,[status(thm)],[f832,f826,f829,f820])).
% 0.13/0.38 fof(f834,plain,(
% 0.13/0.38 $false|spl0_48),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f828,f446])).
% 0.13/0.38 fof(f835,plain,(
% 0.13/0.38 spl0_48),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f834])).
% 0.13/0.38 fof(f836,plain,(
% 0.13/0.38 $false|~spl0_49),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f830,f448])).
% 0.13/0.38 fof(f837,plain,(
% 0.13/0.38 ~spl0_49),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f836])).
% 0.13/0.38 fof(f838,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f545,f547,f549,f656,f674,f702,f824,f833,f835,f837])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.047684 seconds
% 0.13/0.40 % CPU time: 0.225545 seconds
% 0.13/0.40 % Total memory used: 48.397 MB
% 0.13/0.40 % Net memory used: 48.212 MB
%------------------------------------------------------------------------------