TSTP Solution File: SWC153-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:39:27 EDT 2023
% Result : Unsatisfiable 0.09s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n019.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:25:55 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.34 fof(f130,axiom,(
% 0.09/0.34 (![U,V]: (( ~ leq(U,V)| ~ leq(V,U)| ~ ssItem(U)| ~ ssItem(V)| V = U ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f191,negated_conjecture,(
% 0.09/0.34 sk3 = sk1 ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f192,negated_conjecture,(
% 0.09/0.34 (![A,B,C,D,E]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| ~ ssList(D)| ~ ssList(E)| app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3| ~ leq(B,A)| leq(A,B) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f193,negated_conjecture,(
% 0.09/0.34 (![A,B,C,D,E,F]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| ~ ssList(D)| ~ ssList(E)| app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3| ~ leq(B,A)| ~ ssItem(F)| ~ memberP(D,F)| leq(A,F) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f194,negated_conjecture,(
% 0.09/0.34 (![A,B,C,D,E,F]: (( ~ ssItem(A)| ~ ssItem(B)| ~ ssList(C)| ~ ssList(D)| ~ ssList(E)| app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3| ~ leq(B,A)| ~ ssItem(F)| ~ memberP(D,F)| leq(F,B) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f195,negated_conjecture,(
% 0.09/0.34 ssItem(sk5) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f196,negated_conjecture,(
% 0.09/0.34 ssItem(sk6) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f197,negated_conjecture,(
% 0.09/0.34 ssList(sk7) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f198,negated_conjecture,(
% 0.09/0.34 ssList(sk8) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f199,negated_conjecture,(
% 0.09/0.34 ssList(sk9) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f200,negated_conjecture,(
% 0.09/0.34 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f201,negated_conjecture,(
% 0.09/0.34 leq(sk6,sk5) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f202,negated_conjecture,(
% 0.09/0.34 ( ssItem(sk10)| ~ leq(sk5,sk6) ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f203,negated_conjecture,(
% 0.09/0.34 ( memberP(sk8,sk10)| ~ leq(sk5,sk6) ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f204,negated_conjecture,(
% 0.09/0.34 ( ~ leq(sk10,sk6)| ~ leq(sk5,sk10)| ~ leq(sk5,sk6) ) ),
% 0.09/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f347,plain,(
% 0.09/0.34 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|~ssItem(X0)|~ssItem(X1)|X1=X0)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f130])).
% 0.09/0.34 fof(f440,plain,(
% 0.09/0.34 sk3=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.34 fof(f441,plain,(
% 0.09/0.34 ![A,B]: (((![C,D,E]: (((((~ssItem(A)|~ssItem(B))|~ssList(C))|~ssList(D))|~ssList(E))|~app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E)=sk3))|~leq(B,A))|leq(A,B))),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f192])).
% 0.09/0.34 fof(f442,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk3|~leq(X1,X0)|leq(X0,X1))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f441])).
% 0.09/0.34 fof(f443,plain,(
% 0.09/0.34 ![A,F]: ((![D]: (((![B]: ((![C,E]: (((((~ssItem(A)|~ssItem(B))|~ssList(C))|~ssList(D))|~ssList(E))|~app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E)=sk3))|~leq(B,A)))|~ssItem(F))|~memberP(D,F)))|leq(A,F))),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f193])).
% 0.09/0.34 fof(f444,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk3|~leq(X1,X0)|~ssItem(X5)|~memberP(X3,X5)|leq(X0,X5))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f443])).
% 0.09/0.34 fof(f445,plain,(
% 0.09/0.34 ![B,F]: ((![D]: (((![A]: ((![C,E]: (((((~ssItem(A)|~ssItem(B))|~ssList(C))|~ssList(D))|~ssList(E))|~app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E)=sk3))|~leq(B,A)))|~ssItem(F))|~memberP(D,F)))|leq(F,B))),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f194])).
% 0.09/0.34 fof(f446,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk3|~leq(X1,X0)|~ssItem(X5)|~memberP(X3,X5)|leq(X5,X1))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f445])).
% 0.09/0.34 fof(f447,plain,(
% 0.09/0.34 ssItem(sk5)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f195])).
% 0.09/0.34 fof(f448,plain,(
% 0.09/0.34 ssItem(sk6)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f196])).
% 0.09/0.34 fof(f449,plain,(
% 0.09/0.34 ssList(sk7)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f197])).
% 0.09/0.34 fof(f450,plain,(
% 0.09/0.34 ssList(sk8)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f198])).
% 0.09/0.34 fof(f451,plain,(
% 0.09/0.34 ssList(sk9)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f199])).
% 0.09/0.34 fof(f452,plain,(
% 0.09/0.34 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f200])).
% 0.09/0.34 fof(f453,plain,(
% 0.09/0.34 leq(sk6,sk5)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f201])).
% 0.09/0.34 fof(f454,plain,(
% 0.09/0.34 ssItem(sk10)|~leq(sk5,sk6)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f202])).
% 0.09/0.34 fof(f455,plain,(
% 0.09/0.34 memberP(sk8,sk10)|~leq(sk5,sk6)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f203])).
% 0.09/0.34 fof(f456,plain,(
% 0.09/0.34 ~leq(sk10,sk6)|~leq(sk5,sk10)|~leq(sk5,sk6)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f204])).
% 0.09/0.34 fof(f464,plain,(
% 0.09/0.34 spl0_2 <=> ssItem(sk10)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f467,plain,(
% 0.09/0.34 spl0_3 <=> leq(sk5,sk6)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f468,plain,(
% 0.09/0.34 leq(sk5,sk6)|~spl0_3),
% 0.09/0.34 inference(component_clause,[status(thm)],[f467])).
% 0.09/0.34 fof(f470,plain,(
% 0.09/0.34 spl0_2|~spl0_3),
% 0.09/0.34 inference(split_clause,[status(thm)],[f454,f464,f467])).
% 0.09/0.34 fof(f471,plain,(
% 0.09/0.34 spl0_4 <=> memberP(sk8,sk10)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f472,plain,(
% 0.09/0.34 memberP(sk8,sk10)|~spl0_4),
% 0.09/0.34 inference(component_clause,[status(thm)],[f471])).
% 0.09/0.34 fof(f474,plain,(
% 0.09/0.34 spl0_4|~spl0_3),
% 0.09/0.34 inference(split_clause,[status(thm)],[f455,f471,f467])).
% 0.09/0.34 fof(f475,plain,(
% 0.09/0.34 spl0_5 <=> leq(sk10,sk6)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f477,plain,(
% 0.09/0.34 ~leq(sk10,sk6)|spl0_5),
% 0.09/0.34 inference(component_clause,[status(thm)],[f475])).
% 0.09/0.34 fof(f478,plain,(
% 0.09/0.34 spl0_6 <=> leq(sk5,sk10)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f481,plain,(
% 0.09/0.34 ~spl0_5|~spl0_6|~spl0_3),
% 0.09/0.34 inference(split_clause,[status(thm)],[f456,f475,f478,f467])).
% 0.09/0.34 fof(f527,plain,(
% 0.09/0.34 spl0_8 <=> ssList(sk9)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f529,plain,(
% 0.09/0.34 ~ssList(sk9)|spl0_8),
% 0.09/0.34 inference(component_clause,[status(thm)],[f527])).
% 0.09/0.34 fof(f548,plain,(
% 0.09/0.34 $false|spl0_8),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f529,f451])).
% 0.09/0.34 fof(f549,plain,(
% 0.09/0.34 spl0_8),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f548])).
% 0.09/0.34 fof(f554,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk1|~leq(X1,X0)|leq(X0,X1))),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f440,f442])).
% 0.09/0.34 fof(f556,plain,(
% 0.09/0.34 spl0_13 <=> ssItem(sk6)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f558,plain,(
% 0.09/0.34 ~ssItem(sk6)|spl0_13),
% 0.09/0.34 inference(component_clause,[status(thm)],[f556])).
% 0.09/0.34 fof(f559,plain,(
% 0.09/0.34 spl0_14 <=> ssList(sk7)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f561,plain,(
% 0.09/0.34 ~ssList(sk7)|spl0_14),
% 0.09/0.34 inference(component_clause,[status(thm)],[f559])).
% 0.09/0.34 fof(f562,plain,(
% 0.09/0.34 spl0_15 <=> ssList(sk8)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f564,plain,(
% 0.09/0.34 ~ssList(sk8)|spl0_15),
% 0.09/0.34 inference(component_clause,[status(thm)],[f562])).
% 0.09/0.34 fof(f565,plain,(
% 0.09/0.34 spl0_16 <=> leq(sk6,sk5)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f567,plain,(
% 0.09/0.34 ~leq(sk6,sk5)|spl0_16),
% 0.09/0.34 inference(component_clause,[status(thm)],[f565])).
% 0.09/0.34 fof(f580,plain,(
% 0.09/0.34 $false|spl0_16),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f567,f453])).
% 0.09/0.34 fof(f581,plain,(
% 0.09/0.34 spl0_16),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f580])).
% 0.09/0.34 fof(f582,plain,(
% 0.09/0.34 $false|spl0_15),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f564,f450])).
% 0.09/0.34 fof(f583,plain,(
% 0.09/0.34 spl0_15),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f582])).
% 0.09/0.34 fof(f599,plain,(
% 0.09/0.34 $false|spl0_14),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f561,f449])).
% 0.09/0.34 fof(f600,plain,(
% 0.09/0.34 spl0_14),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f599])).
% 0.09/0.34 fof(f608,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk1|~leq(X1,X0)|~ssItem(X5)|~memberP(X3,X5)|leq(X0,X5))),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f440,f444])).
% 0.09/0.34 fof(f610,plain,(
% 0.09/0.34 spl0_19 <=> ~ssItem(X0)|~memberP(sk8,X0)|leq(sk5,X0)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f611,plain,(
% 0.09/0.34 ![X0]: (~ssItem(X0)|~memberP(sk8,X0)|leq(sk5,X0)|~spl0_19)),
% 0.09/0.34 inference(component_clause,[status(thm)],[f610])).
% 0.09/0.34 fof(f626,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4,X5]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4)=sk1|~leq(X1,X0)|~ssItem(X5)|~memberP(X3,X5)|leq(X5,X1))),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f440,f446])).
% 0.09/0.34 fof(f628,plain,(
% 0.09/0.34 spl0_22 <=> ~ssItem(X0)|~memberP(sk8,X0)|leq(X0,sk6)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f629,plain,(
% 0.09/0.34 ![X0]: (~ssItem(X0)|~memberP(sk8,X0)|leq(X0,sk6)|~spl0_22)),
% 0.09/0.34 inference(component_clause,[status(thm)],[f628])).
% 0.09/0.34 fof(f710,plain,(
% 0.09/0.34 spl0_29 <=> ssItem(sk5)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f712,plain,(
% 0.09/0.34 ~ssItem(sk5)|spl0_29),
% 0.09/0.34 inference(component_clause,[status(thm)],[f710])).
% 0.09/0.34 fof(f713,plain,(
% 0.09/0.34 ~ssItem(sk5)|~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|~ssList(sk9)|~leq(sk6,sk5)|leq(sk5,sk6)),
% 0.09/0.34 inference(resolution,[status(thm)],[f554,f452])).
% 0.09/0.34 fof(f714,plain,(
% 0.09/0.34 ~spl0_29|~spl0_13|~spl0_14|~spl0_15|~spl0_8|~spl0_16|spl0_3),
% 0.09/0.34 inference(split_clause,[status(thm)],[f713,f710,f556,f559,f562,f527,f565,f467])).
% 0.09/0.34 fof(f719,plain,(
% 0.09/0.34 $false|spl0_29),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f712,f447])).
% 0.09/0.34 fof(f720,plain,(
% 0.09/0.34 spl0_29),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f719])).
% 0.09/0.34 fof(f721,plain,(
% 0.09/0.34 ![X0]: (~ssItem(sk5)|~ssItem(sk6)|~ssList(sk7)|~ssList(sk8)|~ssList(sk9)|~leq(sk6,sk5)|~ssItem(X0)|~memberP(sk8,X0)|leq(X0,sk6))),
% 0.09/0.34 inference(resolution,[status(thm)],[f626,f452])).
% 0.09/0.34 fof(f722,plain,(
% 0.09/0.34 ~spl0_29|~spl0_13|~spl0_14|~spl0_15|~spl0_8|~spl0_16|spl0_22),
% 0.09/0.34 inference(split_clause,[status(thm)],[f721,f710,f556,f559,f562,f527,f565,f628])).
% 0.09/0.34 fof(f727,plain,(
% 0.09/0.34 $false|spl0_13),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f558,f448])).
% 0.09/0.34 fof(f728,plain,(
% 0.09/0.34 spl0_13),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f727])).
% 0.09/0.34 fof(f735,plain,(
% 0.09/0.34 spl0_30 <=> sk6=sk5),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f736,plain,(
% 0.09/0.34 sk6=sk5|~spl0_30),
% 0.09/0.34 inference(component_clause,[status(thm)],[f735])).
% 0.09/0.34 fof(f738,plain,(
% 0.09/0.34 ~leq(sk5,sk6)|~ssItem(sk5)|~ssItem(sk6)|sk6=sk5),
% 0.09/0.34 inference(resolution,[status(thm)],[f347,f453])).
% 0.09/0.34 fof(f739,plain,(
% 0.09/0.34 ~spl0_3|~spl0_29|~spl0_13|spl0_30),
% 0.09/0.34 inference(split_clause,[status(thm)],[f738,f467,f710,f556,f735])).
% 0.09/0.34 fof(f830,plain,(
% 0.09/0.34 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk5,nil)),sk9)=sk1|~spl0_30),
% 0.09/0.34 inference(backward_demodulation,[status(thm)],[f736,f452])).
% 0.09/0.34 fof(f832,plain,(
% 0.09/0.34 leq(sk5,sk5)|~spl0_30|~spl0_3),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f736,f468])).
% 0.09/0.34 fof(f838,plain,(
% 0.09/0.34 spl0_46 <=> leq(sk5,sk5)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f840,plain,(
% 0.09/0.34 ~leq(sk5,sk5)|spl0_46),
% 0.09/0.34 inference(component_clause,[status(thm)],[f838])).
% 0.09/0.34 fof(f846,plain,(
% 0.09/0.34 $false|~spl0_30|~spl0_3|spl0_46),
% 0.09/0.34 inference(forward_subsumption_resolution,[status(thm)],[f840,f832])).
% 0.09/0.34 fof(f847,plain,(
% 0.09/0.34 ~spl0_30|~spl0_3|spl0_46),
% 0.09/0.34 inference(contradiction_clause,[status(thm)],[f846])).
% 0.09/0.34 fof(f848,plain,(
% 0.09/0.34 ~leq(sk10,sk5)|~spl0_30|spl0_5),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f736,f477])).
% 0.09/0.34 fof(f849,plain,(
% 0.09/0.34 ![X0]: (~ssItem(sk5)|~ssItem(sk5)|~ssList(sk7)|~ssList(sk8)|~ssList(sk9)|~leq(sk5,sk5)|~ssItem(X0)|~memberP(sk8,X0)|leq(sk5,X0)|~spl0_30)),
% 0.09/0.34 inference(resolution,[status(thm)],[f830,f608])).
% 0.09/0.34 fof(f850,plain,(
% 0.09/0.34 ~spl0_29|~spl0_14|~spl0_15|~spl0_8|~spl0_46|spl0_19|~spl0_30),
% 0.09/0.34 inference(split_clause,[status(thm)],[f849,f710,f559,f562,f527,f838,f610,f735])).
% 0.09/0.34 fof(f935,plain,(
% 0.09/0.34 ![X0]: (~ssItem(X0)|~memberP(sk8,X0)|leq(X0,sk5)|~spl0_30|~spl0_22)),
% 0.09/0.34 inference(forward_demodulation,[status(thm)],[f736,f629])).
% 0.09/0.34 fof(f936,plain,(
% 0.15/0.56 spl0_61 <=> leq(sk10,sk5)),
% 0.15/0.56 introduced(split_symbol_definition)).
% 0.15/0.56 fof(f937,plain,(
% 0.15/0.56 leq(sk10,sk5)|~spl0_61),
% 0.15/0.56 inference(component_clause,[status(thm)],[f936])).
% 0.15/0.56 fof(f939,plain,(
% 0.15/0.56 ~ssItem(sk10)|leq(sk10,sk5)|~spl0_30|~spl0_22|~spl0_4),
% 0.15/0.56 inference(resolution,[status(thm)],[f935,f472])).
% 0.15/0.56 fof(f940,plain,(
% 0.15/0.56 ~spl0_2|spl0_61|~spl0_30|~spl0_22|~spl0_4),
% 0.15/0.56 inference(split_clause,[status(thm)],[f939,f464,f936,f735,f628,f471])).
% 0.15/0.56 fof(f941,plain,(
% 0.15/0.56 $false|~spl0_30|spl0_5|~spl0_61),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f937,f848])).
% 0.15/0.56 fof(f942,plain,(
% 0.15/0.56 ~spl0_30|spl0_5|~spl0_61),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f941])).
% 0.15/0.56 fof(f954,plain,(
% 0.15/0.56 ~ssItem(sk10)|leq(sk5,sk10)|~spl0_19|~spl0_4),
% 0.15/0.56 inference(resolution,[status(thm)],[f611,f472])).
% 0.15/0.56 fof(f955,plain,(
% 0.15/0.56 ~spl0_2|spl0_6|~spl0_19|~spl0_4),
% 0.15/0.56 inference(split_clause,[status(thm)],[f954,f464,f478,f610,f471])).
% 0.15/0.56 fof(f956,plain,(
% 0.15/0.56 $false),
% 0.15/0.56 inference(sat_refutation,[status(thm)],[f470,f474,f481,f549,f581,f583,f600,f714,f720,f722,f728,f739,f847,f850,f940,f942,f955])).
% 0.15/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.026305 seconds
% 0.15/0.56 % CPU time: 0.029499 seconds
% 0.15/0.56 % Memory used: 4.375 MB
%------------------------------------------------------------------------------