%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC274-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:40:36 PM UTC 2026
% Result : Unsatisfiable 26.72s 3.95s
% Output : CNFRefutation 26.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 49
% Syntax : Number of formulae : 163 ( 50 unt; 25 def)
% Number of atoms : 387 ( 29 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 418 ( 194 ~; 199 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 26 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [U] : ssItem(skaf83(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [U] : ssList(skaf68(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] : ssList(skaf67(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U] : ssList(skaf66(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U] : ssItem(skaf65(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U] : ssItem(skaf64(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [U] : ssItem(skaf50(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U] : ssItem(skaf49(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [U] :
( leq(U,U)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [U] :
( nil = U
| ssItem(hd(U))
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [U] :
( totalorderedP(U)
| ~ ssList(U)
| ~ leq(skaf64(U),skaf65(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [U,V] :
( leq(U,V)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [U,V] :
( nil = V
| totalorderedP(V)
| ~ ssItem(U)
| ~ ssList(V)
| ~ totalorderedP(cons(U,V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [U,V] :
( nil = V
| totalorderedP(cons(U,V))
| ~ ssItem(U)
| ~ ssList(V)
| ~ totalorderedP(V)
| ~ leq(U,hd(V)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [U] :
( app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U
| totalorderedP(U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,axiom,
! [U,V,W,X,Y,Z] :
( lt(V,X)
| ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,plain,
totalorderedP(nil),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f211,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f212,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f226,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f227,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f228,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f229,plain,
! [X0] : ssItem(skaf65(X0)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f230,plain,
! [X0] : ssItem(skaf64(X0)),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f244,plain,
! [X0] : ssItem(skaf50(X0)),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f245,plain,
! [X0] : ssItem(skaf49(X0)),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f246,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f261,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f276,plain,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f291,plain,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f305,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f336,plain,
! [V] :
( nil = V
| totalorderedP(V)
| ! [U] :
( ~ ssItem(U)
| ~ ssList(V)
| ~ totalorderedP(cons(U,V)) ) ),
inference(miniscoping,[status(thm)],[f125]) ).
fof(f337,plain,
! [X0,X1] :
( nil = X1
| totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f386,plain,
! [V] :
( nil = V
| ! [U] :
( totalorderedP(cons(U,V))
| ~ ssItem(U)
| ~ ssList(V)
| ~ totalorderedP(V)
| ~ leq(U,hd(V)) ) ),
inference(miniscoping,[status(thm)],[f159]) ).
fof(f387,plain,
! [X0,X1] :
( nil = X1
| totalorderedP(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(X1)
| ~ leq(X0,hd(X1)) ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f394,plain,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f420,plain,
! [V,X] :
( lt(V,X)
| ! [Z] :
( ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| ! [Y] :
( ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ) ) ),
inference(miniscoping,[status(thm)],[f181]) ).
fof(f421,plain,
! [X0,X1,X2,X3,X4,X5] :
( lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f432,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f439,plain,
strictorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f444,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f456,definition,
( sQ3_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ3_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f484,plain,
! [X0,X1,X2,X3,X4] :
( lt(X4,X3)
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f421]) ).
fof(f491,plain,
~ totalorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f435,f444]) ).
fof(f560,definition,
( sQ5_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ5_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f615,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f432]) ).
fof(f616,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f2013,plain,
( ~ sQ3_spl
| totalorderedP(sk3) ),
inference(forward_demodulation,[status(thm)],[f457,f203]) ).
fof(f2014,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f491]) ).
fof(f2015,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2529,plain,
! [X0] :
( nil = sk3
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ totalorderedP(cons(X0,sk3)) ),
inference(resolution,[status(thm)],[f337,f491]) ).
fof(f2530,definition,
! [X0] :
( sQ86_spl
<=> ( ~ ssItem(X0)
| ~ totalorderedP(cons(X0,sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ86_spl
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,sk3)) ),
inference(component_clause,[status(thm)],[f2530]) ).
fof(f2533,plain,
( sQ3_spl
| ~ sQ5_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f2529,f2530,f560,f456]) ).
fof(f2757,plain,
! [X0] :
( ~ sQ86_spl
| ~ ssItem(X0)
| nil = sk3
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ totalorderedP(sk3)
| ~ leq(X0,hd(sk3)) ),
inference(resolution,[status(thm)],[f387,f2531]) ).
fof(f2758,definition,
! [X0] :
( sQ88_spl
<=> ( ~ ssItem(X0)
| ~ ssItem(X0)
| ~ leq(X0,hd(sk3)) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ88_spl
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ leq(X0,hd(sk3)) ),
inference(component_clause,[status(thm)],[f2758]) ).
fof(f2761,definition,
( sQ89_spl
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f2764,plain,
( ~ sQ86_spl
| sQ3_spl
| ~ sQ5_spl
| ~ sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2757,f2758,f2761,f560,f456,f2530]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ88_spl
| ~ ssItem(X0)
| ~ leq(X0,hd(sk3)) ),
inference(duplicate_literals_removal,[status(thm)],[f2759]) ).
fof(f3585,plain,
( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f394,f491]) ).
fof(f3588,definition,
( sQ166_spl
<=> app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f3589,plain,
( ~ sQ166_spl
| app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
inference(component_clause,[status(thm)],[f3588]) ).
fof(f3591,plain,
( sQ166_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3585,f560,f3588]) ).
fof(f4298,definition,
! [X2] :
( sQ224_spl
<=> ( ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ224_spl
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f4298]) ).
fof(f4757,plain,
( ~ sQ88_spl
| ~ ssItem(hd(sk3))
| ~ ssItem(hd(sk3)) ),
inference(resolution,[status(thm)],[f2765,f261]) ).
fof(f4762,definition,
( sQ258_spl
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f4764,plain,
( sQ258_spl
| ~ ssItem(hd(sk3)) ),
inference(component_clause,[status(thm)],[f4762]) ).
fof(f4774,plain,
( ~ sQ88_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f4757,f4762,f2758]) ).
fof(f7365,definition,
! [X0] :
( sQ506_spl
<=> ( ~ ssList(X0)
| app(X0,sk6) != app(X0,sk6) ) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f7366,plain,
! [X0] :
( ~ sQ506_spl
| ~ ssList(X0)
| app(X0,sk6) != app(X0,sk6) ),
inference(component_clause,[status(thm)],[f7365]) ).
fof(f12383,plain,
( sQ258_spl
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f276,f4764]) ).
fof(f12385,plain,
( sQ258_spl
| sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12383,f560,f456,f4762]) ).
fof(f17428,plain,
! [X0] :
( ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f285,f432]) ).
fof(f18134,plain,
( ~ sQ166_spl
| lt(skaf64(sk3),skaf65(sk3))
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))))
| ~ strictorderedP(sk3)
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssList(skaf67(sk3))
| ~ ssList(skaf68(sk3)) ),
inference(paramodulation,[status(thm)],[f3589,f484]) ).
fof(f18143,definition,
( sQ1147_spl
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1147_spl])],[split_symbol_definition]) ).
fof(f18144,plain,
( ~ sQ1147_spl
| leq(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f18143]) ).
fof(f18149,definition,
( sQ1149_spl
<=> ssList(skaf68(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1149_spl])],[split_symbol_definition]) ).
fof(f18151,plain,
( sQ1149_spl
| ~ ssList(skaf68(sk3)) ),
inference(component_clause,[status(thm)],[f18149]) ).
fof(f18152,definition,
( sQ1150_spl
<=> ssList(skaf67(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1150_spl])],[split_symbol_definition]) ).
fof(f18154,plain,
( sQ1150_spl
| ~ ssList(skaf67(sk3)) ),
inference(component_clause,[status(thm)],[f18152]) ).
fof(f18155,definition,
( sQ1151_spl
<=> ssList(skaf66(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1151_spl])],[split_symbol_definition]) ).
fof(f18157,plain,
( sQ1151_spl
| ~ ssList(skaf66(sk3)) ),
inference(component_clause,[status(thm)],[f18155]) ).
fof(f18158,definition,
( sQ1152_spl
<=> ssItem(skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1152_spl])],[split_symbol_definition]) ).
fof(f18160,plain,
( sQ1152_spl
| ~ ssItem(skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f18158]) ).
fof(f18161,definition,
( sQ1153_spl
<=> ssItem(skaf64(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1153_spl])],[split_symbol_definition]) ).
fof(f18163,plain,
( sQ1153_spl
| ~ ssItem(skaf64(sk3)) ),
inference(component_clause,[status(thm)],[f18161]) ).
fof(f18167,definition,
( sQ1155_spl
<=> ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ1155_spl])],[split_symbol_definition]) ).
fof(f18169,plain,
( sQ1155_spl
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
inference(component_clause,[status(thm)],[f18167]) ).
fof(f18174,definition,
( sQ1157_spl
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1157_spl])],[split_symbol_definition]) ).
fof(f18175,plain,
( ~ sQ1157_spl
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f18174]) ).
fof(f18185,definition,
( sQ1160_spl
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ1160_spl])],[split_symbol_definition]) ).
fof(f18187,plain,
( sQ1160_spl
| ~ strictorderedP(sk3) ),
inference(component_clause,[status(thm)],[f18185]) ).
fof(f18188,plain,
( ~ sQ166_spl
| sQ1157_spl
| ~ sQ1155_spl
| ~ sQ1160_spl
| ~ sQ1153_spl
| ~ sQ1152_spl
| ~ sQ1151_spl
| ~ sQ1150_spl
| ~ sQ1149_spl ),
inference(split_clause,[status(thm)],[f18134,f18149,f18152,f18155,f18158,f18161,f18185,f18167,f18174,f3588]) ).
fof(f18224,plain,
( sQ1152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18160,f229]) ).
fof(f18225,plain,
sQ1152_spl,
inference(contradiction_clause,[status(thm)],[f18224]) ).
fof(f18226,plain,
( sQ1149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18151,f226]) ).
fof(f18227,plain,
sQ1149_spl,
inference(contradiction_clause,[status(thm)],[f18226]) ).
fof(f18228,plain,
( sQ1153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18163,f230]) ).
fof(f18229,plain,
sQ1153_spl,
inference(contradiction_clause,[status(thm)],[f18228]) ).
fof(f18230,plain,
( sQ1151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18157,f228]) ).
fof(f18231,plain,
sQ1151_spl,
inference(contradiction_clause,[status(thm)],[f18230]) ).
fof(f18232,plain,
( sQ1150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18154,f227]) ).
fof(f18233,plain,
sQ1150_spl,
inference(contradiction_clause,[status(thm)],[f18232]) ).
fof(f18234,plain,
( sQ1155_spl
| ~ sQ166_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f3589,f18169]) ).
fof(f18235,plain,
( sQ1155_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18234,f432]) ).
fof(f18236,plain,
( sQ1155_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f18235]) ).
fof(f18245,plain,
( sQ1160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18187,f439]) ).
fof(f18246,plain,
sQ1160_spl,
inference(contradiction_clause,[status(thm)],[f18245]) ).
fof(f18335,plain,
! [X0] :
( ~ sQ506_spl
| ~ ssList(X0) ),
inference(trivial_equality_resolution,[status(thm)],[f7366]) ).
fof(f18365,plain,
! [X0] :
( ~ sQ224_spl
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f4299]) ).
fof(f18502,plain,
( ~ sQ224_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f211,f18365]) ).
fof(f18520,plain,
~ sQ224_spl,
inference(contradiction_clause,[status(thm)],[f18502]) ).
fof(f18521,plain,
( ~ sQ506_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f18335]) ).
fof(f18522,plain,
~ sQ506_spl,
inference(contradiction_clause,[status(thm)],[f18521]) ).
fof(f18963,definition,
( sQ1179_spl
<=> app(sk3,sk3) = app(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[sQ1179_spl])],[split_symbol_definition]) ).
fof(f18965,plain,
( sQ1179_spl
| app(sk3,sk3) != app(sk3,sk3) ),
inference(component_clause,[status(thm)],[f18963]) ).
fof(f18980,plain,
( sQ1179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18965]) ).
fof(f18981,plain,
sQ1179_spl,
inference(contradiction_clause,[status(thm)],[f18980]) ).
fof(f20209,definition,
! [X0] :
( sQ1200_spl
<=> ( ~ ssList(X0)
| app(X0,sk3) != app(X0,sk3) ) ),
introduced(definition,[new_symbols(definition,[sQ1200_spl])],[split_symbol_definition]) ).
fof(f20210,plain,
! [X0] :
( ~ sQ1200_spl
| ~ ssList(X0)
| app(X0,sk3) != app(X0,sk3) ),
inference(component_clause,[status(thm)],[f20209]) ).
fof(f21642,plain,
ssList(app(sk3,sk3)),
inference(resolution,[status(thm)],[f17428,f432]) ).
fof(f22149,plain,
! [X0] :
( ~ sQ1200_spl
| ~ ssList(X0) ),
inference(trivial_equality_resolution,[status(thm)],[f20210]) ).
fof(f22254,plain,
( ~ sQ1200_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f21642,f22149]) ).
fof(f22285,plain,
~ sQ1200_spl,
inference(contradiction_clause,[status(thm)],[f22254]) ).
fof(f24780,plain,
( ~ sQ1157_spl
| leq(skaf64(sk3),skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3)) ),
inference(resolution,[status(thm)],[f18175,f305]) ).
fof(f24783,plain,
( ~ sQ1157_spl
| sQ1147_spl
| ~ sQ1153_spl
| ~ sQ1152_spl ),
inference(split_clause,[status(thm)],[f24780,f18158,f18161,f18143,f18174]) ).
fof(f25701,definition,
( sQ1287_spl
<=> ssList(skaf82(sk5)) ),
introduced(definition,[new_symbols(definition,[sQ1287_spl])],[split_symbol_definition]) ).
fof(f25703,plain,
( sQ1287_spl
| ~ ssList(skaf82(sk5)) ),
inference(component_clause,[status(thm)],[f25701]) ).
fof(f25707,definition,
( sQ1289_spl
<=> ssItem(skaf83(sk5)) ),
introduced(definition,[new_symbols(definition,[sQ1289_spl])],[split_symbol_definition]) ).
fof(f25709,plain,
( sQ1289_spl
| ~ ssItem(skaf83(sk5)) ),
inference(component_clause,[status(thm)],[f25707]) ).
fof(f25752,plain,
( sQ1289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25709,f211]) ).
fof(f25753,plain,
sQ1289_spl,
inference(contradiction_clause,[status(thm)],[f25752]) ).
fof(f25754,plain,
( sQ1287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25703,f212]) ).
fof(f25755,plain,
sQ1287_spl,
inference(contradiction_clause,[status(thm)],[f25754]) ).
fof(f26825,definition,
( sQ1306_spl
<=> ssItem(skaf44(sk5)) ),
introduced(definition,[new_symbols(definition,[sQ1306_spl])],[split_symbol_definition]) ).
fof(f26827,plain,
( sQ1306_spl
| ~ ssItem(skaf44(sk5)) ),
inference(component_clause,[status(thm)],[f26825]) ).
fof(f26874,plain,
( sQ1306_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f26827,f246]) ).
fof(f26875,plain,
sQ1306_spl,
inference(contradiction_clause,[status(thm)],[f26874]) ).
fof(f28320,definition,
( sQ1345_spl
<=> ssItem(skaf49(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1345_spl])],[split_symbol_definition]) ).
fof(f28322,plain,
( sQ1345_spl
| ~ ssItem(skaf49(sk3)) ),
inference(component_clause,[status(thm)],[f28320]) ).
fof(f28323,definition,
( sQ1346_spl
<=> ssItem(skaf50(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ1346_spl])],[split_symbol_definition]) ).
fof(f28325,plain,
( sQ1346_spl
| ~ ssItem(skaf50(sk3)) ),
inference(component_clause,[status(thm)],[f28323]) ).
fof(f28339,plain,
( sQ1345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28322,f245]) ).
fof(f28340,plain,
sQ1345_spl,
inference(contradiction_clause,[status(thm)],[f28339]) ).
fof(f28341,plain,
( sQ1346_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28325,f244]) ).
fof(f28342,plain,
sQ1346_spl,
inference(contradiction_clause,[status(thm)],[f28341]) ).
fof(f28520,plain,
( ~ sQ1147_spl
| totalorderedP(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f18144,f291]) ).
fof(f28525,plain,
( ~ sQ1147_spl
| sQ89_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f28520,f560,f2761,f18143]) ).
fof(f28539,plain,
$false,
inference(sat_refutation,[status(thm)],[f616,f2015,f2533,f2764,f3591,f4774,f12385,f18188,f18225,f18227,f18229,f18231,f18233,f18236,f18246,f18520,f18522,f18981,f22285,f24783,f25753,f25755,f26875,f28340,f28342,f28525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC274-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:14:23 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 26.72/3.95 % Refutation found
% 26.72/3.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.72/3.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.76/4.01 % Elapsed time: 3.544946 seconds
% 2.76/4.01 % CPU time: 27.633820 seconds
% 2.76/4.01 % Total memory used: 266.129 MB
% 2.76/4.01 % Net memory used: 252.214 MB
%------------------------------------------------------------------------------