%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC152-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:40:10 PM UTC 2026
% Result : Unsatisfiable 97.61s 12.73s
% Output : CNFRefutation 97.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 24
% Syntax : Number of formulae : 162 ( 22 unt; 0 def)
% Number of atoms : 613 ( 113 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 863 ( 412 ~; 451 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 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,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
leq(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( ~ leq(sk5,sk6)
| ssItem(sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ leq(sk5,sk6)
| ~ leq(sk10,sk6)
| ~ leq(sk5,sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( nil = sk3
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f207,negated_conjecture,
( nil = sk3
| cons(sk11,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f217,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f280,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f295,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f296,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f308,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f309,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f336,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f337,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f338,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f339,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f362,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f364,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(f365,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(f400,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(f401,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)],[f400]) ).
fof(f445,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f446,plain,
ssItem(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f447,plain,
ssItem(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f448,plain,
ssList(sk7),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f449,plain,
ssList(sk8),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f450,plain,
ssList(sk9),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f451,plain,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f452,plain,
leq(sk6,sk5),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f453,plain,
( ~ leq(sk5,sk6)
| ssItem(sk10) ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f454,plain,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f455,plain,
( ~ leq(sk5,sk6)
| ~ leq(sk10,sk6)
| ~ leq(sk5,sk10) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f457,plain,
( nil = sk3
| ssItem(sk11) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f462,plain,
( nil = sk3
| cons(sk11,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f478,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f362]) ).
fof(f479,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f478]) ).
fof(f500,plain,
( nil = sk1
| ssItem(sk11) ),
inference(forward_demodulation,[status(thm)],[f445,f457]) ).
fof(f507,plain,
( nil = sk3
| cons(sk11,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f445,f462]) ).
fof(f508,plain,
( nil = sk1
| cons(sk11,nil) = sk1 ),
inference(forward_demodulation,[status(thm)],[f445,f507]) ).
fof(f525,plain,
! [X0] :
( nil = sk1
| X0 = sk11
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk11)
| ~ ssList(nil)
| ~ memberP(sk1,X0) ),
inference(paramodulation,[status(thm)],[f508,f401]) ).
fof(f527,plain,
! [X0] :
( nil = sk1
| X0 = sk11
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk11)
| ~ memberP(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f217]) ).
fof(f835,plain,
( nil = app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssList(sk9)
| sk1 != nil ),
inference(paramodulation,[status(thm)],[f451,f337]) ).
fof(f837,plain,
( nil = app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| sk1 != nil ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f450]) ).
fof(f978,plain,
( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| sk1 != nil
| nil = cons(sk6,nil)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f339,f837]) ).
fof(f982,plain,
( sk1 != nil
| nil = cons(sk6,nil)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[f978,f295]) ).
fof(f984,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| sk1 != nil
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f982,f309]) ).
fof(f986,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| sk1 != nil
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f296]) ).
fof(f987,plain,
( ssItem(sk11)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
inference(resolution,[status(thm)],[f986,f500]) ).
fof(f989,plain,
( ssItem(sk11)
| ~ ssList(nil)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f447]) ).
fof(f994,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ssItem(sk11)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f989,f295]) ).
fof(f995,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ssItem(sk11) ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f217]) ).
fof(f996,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk8)
| ssItem(sk11) ),
inference(resolution,[status(thm)],[f995,f295]) ).
fof(f997,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ssItem(sk11) ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f449]) ).
fof(f1001,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ssItem(sk11) ),
inference(resolution,[status(thm)],[f997,f296]) ).
fof(f1002,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ssItem(sk11) ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f448]) ).
fof(f1003,plain,
( ~ ssList(nil)
| ssItem(sk11) ),
inference(resolution,[status(thm)],[f1002,f446]) ).
fof(f1034,plain,
! [X0] :
( nil = sk1
| X0 = sk11
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f527,f1035]) ).
fof(f1035,plain,
ssItem(sk11),
inference(forward_subsumption_resolution,[status(thm)],[f1003,f217]) ).
fof(f1037,plain,
! [X0] :
( nil = sk1
| X0 = sk11
| ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f280]) ).
fof(f1164,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssList(sk9)
| ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
inference(paramodulation,[status(thm)],[f451,f364]) ).
fof(f1165,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f450]) ).
fof(f1167,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) ),
inference(resolution,[status(thm)],[f1165,f364]) ).
fof(f1168,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) ),
inference(duplicate_literals_removal,[status(thm)],[f1167]) ).
fof(f1169,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f295]) ).
fof(f1171,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1169,f364]) ).
fof(f1172,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1171]) ).
fof(f1173,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f295]) ).
fof(f1186,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ 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)],[f365,f1173]) ).
fof(f1187,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ memberP(sk8,X0) ),
inference(resolution,[status(thm)],[f365,f1169]) ).
fof(f1188,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(resolution,[status(thm)],[f365,f1165]) ).
fof(f1191,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ 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)],[f1186]) ).
fof(f1192,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1191,f448]) ).
fof(f1193,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ memberP(sk8,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1187]) ).
fof(f1194,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1193,f449]) ).
fof(f1195,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1188]) ).
fof(f1196,plain,
! [X0] :
( memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f295]) ).
fof(f1199,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(resolution,[status(thm)],[f1196,f295]) ).
fof(f1200,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1199,f449]) ).
fof(f1203,plain,
! [X0] :
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) ),
inference(resolution,[status(thm)],[f1194,f295]) ).
fof(f1204,plain,
! [X0] :
( ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1203]) ).
fof(f1205,plain,
! [X0] :
( ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f449]) ).
fof(f1206,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)],[f1200,f295]) ).
fof(f1207,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)],[f1206,f448]) ).
fof(f1210,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(resolution,[status(thm)],[f1192,f295]) ).
fof(f1211,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1210]) ).
fof(f1212,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,nil))
| ~ memberP(cons(sk5,nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f449]) ).
fof(f1213,plain,
! [X0] :
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(resolution,[status(thm)],[f1205,f295]) ).
fof(f1214,plain,
! [X0] :
( ~ ssList(cons(sk5,nil))
| ~ ssList(cons(sk6,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1213,f448]) ).
fof(f1217,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssList(cons(sk6,nil)) ),
inference(resolution,[status(thm)],[f1207,f479]) ).
fof(f1219,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssList(cons(sk6,nil)) ),
inference(duplicate_literals_removal,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f296]) ).
fof(f1221,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[f1220,f296]) ).
fof(f1222,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6)
| ~ ssItem(sk6) ),
inference(duplicate_literals_removal,[status(thm)],[f1221]) ).
fof(f1223,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f447]) ).
fof(f1226,plain,
( nil = sk1
| sk6 = sk11
| ~ ssItem(sk6)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f1223,f1037]) ).
fof(f1229,plain,
( nil = sk1
| sk6 = sk11
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1226,f217]) ).
fof(f1243,plain,
( nil = sk1
| sk6 = sk11
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f1229,f447]) ).
fof(f1249,plain,
( nil = sk1
| sk6 = sk11 ),
inference(forward_subsumption_resolution,[status(thm)],[f1243,f446]) ).
fof(f2032,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(resolution,[status(thm)],[f1214,f296]) ).
fof(f2035,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil))
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f447]) ).
fof(f2040,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(resolution,[status(thm)],[f2035,f296]) ).
fof(f2041,plain,
! [X0] :
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2040]) ).
fof(f2042,plain,
! [X0] :
( ~ ssItem(sk5)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ memberP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f217]) ).
fof(f2254,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[f1212,f479]) ).
fof(f2256,plain,
( ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5)
| ~ ssList(cons(sk5,nil)) ),
inference(duplicate_literals_removal,[status(thm)],[f2254]) ).
fof(f2257,plain,
( ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2256,f296]) ).
fof(f2260,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(sk7)
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f2257,f296]) ).
fof(f2263,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(sk7)
| memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(duplicate_literals_removal,[status(thm)],[f2260]) ).
fof(f2264,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(sk7)
| memberP(sk1,sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2263,f446]) ).
fof(f2269,plain,
( nil = sk1
| sk5 = sk11
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(resolution,[status(thm)],[f2264,f1037]) ).
fof(f2276,plain,
( nil = sk1
| sk5 = sk11
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f2269,f448]) ).
fof(f2331,plain,
( nil = sk1
| sk5 = sk11
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f2276,f447]) ).
fof(f2343,plain,
( nil = sk1
| sk5 = sk11
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2331,f217]) ).
fof(f2345,plain,
( nil = sk1
| sk5 = sk11 ),
inference(resolution,[status(thm)],[f2343,f446]) ).
fof(f2352,plain,
( nil = sk1
| nil = sk1
| sk5 = sk6 ),
inference(paramodulation,[status(thm)],[f1249,f2345]) ).
fof(f2393,plain,
( nil = sk1
| sk5 = sk6 ),
inference(duplicate_literals_removal,[status(thm)],[f2352]) ).
fof(f2508,plain,
( nil = sk1
| ~ leq(sk5,sk5)
| memberP(sk8,sk10) ),
inference(paramodulation,[status(thm)],[f2393,f454]) ).
fof(f2509,plain,
( nil = sk1
| ~ leq(sk5,sk5)
| ssItem(sk10) ),
inference(paramodulation,[status(thm)],[f2393,f453]) ).
fof(f2511,plain,
( nil = sk1
| leq(sk5,sk5) ),
inference(paramodulation,[status(thm)],[f2393,f452]) ).
fof(f2577,plain,
( nil = sk1
| ssItem(sk10) ),
inference(backward_subsumption_resolution,[status(thm)],[f2509,f2511]) ).
fof(f2578,plain,
( nil = sk1
| memberP(sk8,sk10) ),
inference(backward_subsumption_resolution,[status(thm)],[f2508,f2511]) ).
fof(f2809,plain,
( ~ ssItem(sk5)
| memberP(sk1,sk10)
| ~ ssItem(sk10)
| nil = sk1 ),
inference(resolution,[status(thm)],[f2578,f2042]) ).
fof(f2810,plain,
( ~ ssItem(sk5)
| memberP(sk1,sk10)
| nil = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2809,f2577]) ).
fof(f3145,plain,
( nil = sk1
| sk10 = sk11
| ~ ssItem(sk10)
| ~ ssItem(sk5)
| nil = sk1 ),
inference(resolution,[status(thm)],[f2810,f1037]) ).
fof(f3152,plain,
( sk10 = sk11
| ~ ssItem(sk10)
| ~ ssItem(sk5)
| nil = sk1 ),
inference(duplicate_literals_removal,[status(thm)],[f3145]) ).
fof(f3153,plain,
( sk10 = sk11
| ~ ssItem(sk10)
| nil = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3152,f446]) ).
fof(f3160,plain,
( nil = sk1
| sk10 = sk5
| ~ ssItem(sk10)
| nil = sk1 ),
inference(paramodulation,[status(thm)],[f2345,f3153]) ).
fof(f3162,plain,
( nil = sk1
| sk10 = sk6
| ~ ssItem(sk10)
| nil = sk1 ),
inference(paramodulation,[status(thm)],[f1249,f3153]) ).
fof(f3163,plain,
( sk10 = sk5
| ~ ssItem(sk10)
| nil = sk1 ),
inference(duplicate_literals_removal,[status(thm)],[f3160]) ).
fof(f3164,plain,
( sk10 = sk5
| nil = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3163,f2577]) ).
fof(f3166,plain,
( sk10 = sk6
| ~ ssItem(sk10)
| nil = sk1 ),
inference(duplicate_literals_removal,[status(thm)],[f3162]) ).
fof(f3167,plain,
( sk10 = sk6
| nil = sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3166,f2577]) ).
fof(f3171,plain,
( nil = sk1
| ~ leq(sk5,sk6)
| ~ leq(sk5,sk6)
| ~ leq(sk5,sk10) ),
inference(paramodulation,[status(thm)],[f3164,f455]) ).
fof(f3176,plain,
( nil = sk1
| ~ leq(sk5,sk6)
| ~ leq(sk5,sk10) ),
inference(duplicate_literals_removal,[status(thm)],[f3171]) ).
fof(f8204,plain,
( nil = sk1
| nil = sk1
| ~ leq(sk5,sk6)
| ~ leq(sk5,sk6) ),
inference(paramodulation,[status(thm)],[f3167,f3176]) ).
fof(f8207,plain,
( nil = sk1
| ~ leq(sk5,sk6) ),
inference(duplicate_literals_removal,[status(thm)],[f8204]) ).
fof(f8210,plain,
( nil = sk1
| nil = sk1
| ~ leq(sk5,sk5) ),
inference(paramodulation,[status(thm)],[f2393,f8207]) ).
fof(f8223,plain,
( nil = sk1
| ~ leq(sk5,sk5) ),
inference(duplicate_literals_removal,[status(thm)],[f8210]) ).
fof(f8484,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| memberP(nil,sk6) ),
inference(backward_demodulation,[status(thm)],[f9503,f1223]) ).
fof(f9503,plain,
nil = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f8223,f2511]) ).
fof(f9603,plain,
( ~ ssItem(sk5)
| memberP(nil,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f8484,f217]) ).
fof(f10135,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[f9603,f280]) ).
fof(f10137,plain,
~ ssItem(sk6),
inference(forward_subsumption_resolution,[status(thm)],[f10135,f446]) ).
fof(f10138,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f447,f10137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC152-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.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 07:59:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 97.61/12.73 % Refutation found
% 97.61/12.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 97.61/12.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.33/12.83 % Elapsed time: 12.438416 seconds
% 6.33/12.83 % CPU time: 98.221181 seconds
% 6.33/12.83 % Total memory used: 528.309 MB
% 6.33/12.83 % Net memory used: 475.469 MB
%------------------------------------------------------------------------------