%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC188-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:40:19 PM UTC 2026
% Result : Unsatisfiable 8.11s 1.94s
% Output : CNFRefutation 8.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 111 ( 20 unt; 0 def)
% Number of atoms : 397 ( 77 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 555 ( 269 ~; 286 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [U,V] :
( ssList(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,axiom,
! [U,V] :
( nil = V
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [U,V,W] :
( memberP(cons(V,W),U)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,axiom,
! [U,V,W] :
( memberP(app(U,W),V)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,axiom,
! [U,V,W] :
( memberP(app(W,U),V)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(U)
| ~ memberP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [U,V,W] :
( W = U
| memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil = sk3
| ssItem(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| cons(sk9,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f213,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f276,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f291,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f292,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f304,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f305,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f332,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f333,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f335,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f358,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f360,plain,
! [X0,X1,X2] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f361,plain,
! [X0,X1,X2] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f396,plain,
! [U,W] :
( W = U
| ! [V] :
( memberP(V,W)
| ~ ssItem(W)
| ~ ssItem(U)
| ~ ssList(V)
| ~ memberP(cons(U,V),W) ) ),
inference(miniscoping,[status(thm)],[f161]) ).
fof(f397,plain,
! [X0,X1,X2] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f441,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f442,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f443,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f444,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f445,plain,
ssList(sk8),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f446,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f447,plain,
sk5 != sk6,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f449,plain,
( nil = sk3
| ssItem(sk9) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f454,plain,
( nil = sk3
| cons(sk9,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f470,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f358]) ).
fof(f471,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f470]) ).
fof(f492,plain,
( nil = sk1
| ssItem(sk9) ),
inference(forward_demodulation,[status(thm)],[f441,f449]) ).
fof(f499,plain,
( nil = sk3
| cons(sk9,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f441,f454]) ).
fof(f500,plain,
( nil = sk1
| cons(sk9,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f441,f499]) ).
fof(f517,plain,
! [X0] :
( nil = sk1
| X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| ~ ssList(nil)
| ~ memberP(sk1,X0) ),
inference(paramodulation,[status(thm)],[f500,f397]) ).
fof(f519,plain,
! [X0] :
( nil = sk1
| X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| ~ memberP(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f213]) ).
fof(f872,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| sk1 != nil ),
inference(paramodulation,[status(thm)],[f446,f333]) ).
fof(f874,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| sk1 != nil ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f445]) ).
fof(f965,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(sk8)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(paramodulation,[status(thm)],[f446,f360]) ).
fof(f966,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f445]) ).
fof(f968,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
inference(resolution,[status(thm)],[f966,f360]) ).
fof(f969,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
inference(duplicate_literals_removal,[status(thm)],[f968]) ).
fof(f970,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f291]) ).
fof(f990,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| sk1 != nil
| nil = cons(sk6,nil)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f335,f874]) ).
fof(f993,plain,
( sk1 != nil
| nil = cons(sk6,nil)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f291]) ).
fof(f995,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| sk1 != nil
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f993,f305]) ).
fof(f997,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| sk1 != nil
| ~ ssList(app(sk7,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f292]) ).
fof(f1001,plain,
( ssItem(sk9)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil))) ),
inference(resolution,[status(thm)],[f997,f492]) ).
fof(f1003,plain,
( ssItem(sk9)
| ~ ssList(nil)
| ~ ssList(app(sk7,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f443]) ).
fof(f1008,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ssItem(sk9)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1003,f291]) ).
fof(f1009,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ssItem(sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f213]) ).
fof(f1010,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ssItem(sk9) ),
inference(resolution,[status(thm)],[f1009,f292]) ).
fof(f1011,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssItem(sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f444]) ).
fof(f1012,plain,
( ~ ssList(nil)
| ssItem(sk9) ),
inference(resolution,[status(thm)],[f1011,f442]) ).
fof(f1038,plain,
! [X0] :
( nil = sk1
| X0 = sk9
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f519,f1039]) ).
fof(f1039,plain,
ssItem(sk9),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f213]) ).
fof(f1041,plain,
! [X0] :
( nil = sk1
| X0 = sk9
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f276]) ).
fof(f1046,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(resolution,[status(thm)],[f361,f970]) ).
fof(f1047,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(resolution,[status(thm)],[f361,f966]) ).
fof(f1050,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1046]) ).
fof(f1051,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f444]) ).
fof(f1052,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1047]) ).
fof(f1053,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f291]) ).
fof(f1186,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(resolution,[status(thm)],[f1053,f291]) ).
fof(f1187,plain,
! [X0] :
( ~ ssList(cons(sk5,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f444]) ).
fof(f1190,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f1187,f471]) ).
fof(f1192,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssList(cons(sk6,nil)) ),
inference(duplicate_literals_removal,[status(thm)],[f1190]) ).
fof(f1193,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f1192,f292]) ).
fof(f1194,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1193,f292]) ).
fof(f1195,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(duplicate_literals_removal,[status(thm)],[f1194]) ).
fof(f1196,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f443]) ).
fof(f1200,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(resolution,[status(thm)],[f1051,f291]) ).
fof(f1201,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1200]) ).
fof(f1202,plain,
! [X0] :
( ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1201,f444]) ).
fof(f1207,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[f1202,f471]) ).
fof(f1209,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5)
| ~ ssList(cons(sk5,nil)) ),
inference(duplicate_literals_removal,[status(thm)],[f1207]) ).
fof(f1210,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f292]) ).
fof(f1214,plain,
( nil = sk1
| sk6 = sk9
| ~ ssItem(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1196,f1041]) ).
fof(f1217,plain,
( nil = sk1
| sk6 = sk9
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f213]) ).
fof(f1219,plain,
( nil = sk1
| sk6 = sk9
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f1217,f443]) ).
fof(f1224,plain,
( nil = sk1
| sk6 = sk9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f442]) ).
fof(f1322,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(nil)
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f1210,f292]) ).
fof(f1323,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(duplicate_literals_removal,[status(thm)],[f1322]) ).
fof(f1324,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| memberP(sk1,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f442]) ).
fof(f1325,plain,
( nil = sk1
| sk5 = sk9
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1324,f1041]) ).
fof(f1328,plain,
( nil = sk1
| sk5 = sk9
| ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f1325,f213]) ).
fof(f1632,plain,
( nil = sk1
| sk5 = sk9
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f1328,f443]) ).
fof(f1637,plain,
( nil = sk1
| sk5 = sk9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f442]) ).
fof(f1639,plain,
( nil = sk1
| nil = sk1
| sk5 = sk6 ),
inference(paramodulation,[status(thm)],[f1224,f1637]) ).
fof(f1678,plain,
( nil = sk1
| sk5 = sk6 ),
inference(duplicate_literals_removal,[status(thm)],[f1639]) ).
fof(f1689,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| memberP(nil,sk5) ),
inference(backward_demodulation,[status(thm)],[f1896,f1324]) ).
fof(f1896,plain,
nil = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f1678,f447]) ).
fof(f1954,plain,
( ~ ssItem(sk6)
| memberP(nil,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1689,f213]) ).
fof(f2062,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1954,f276]) ).
fof(f2064,plain,
~ ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f443]) ).
fof(f2065,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f442,f2064]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC188-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:02:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 % Drodi V4.1.1
% 8.11/1.94 % Refutation found
% 8.11/1.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.11/1.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.11/1.99 % Elapsed time: 1.598268 seconds
% 8.11/1.99 % CPU time: 10.516412 seconds
% 8.11/1.99 % Total memory used: 193.583 MB
% 8.11/1.99 % Net memory used: 188.235 MB
%------------------------------------------------------------------------------