%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC099-1 : 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 02:39:57 PM UTC 2026
% Result : Unsatisfiable 219.94s 28.18s
% Output : CNFRefutation 138.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 25
% Syntax : Number of formulae : 116 ( 22 unt; 0 def)
% Number of atoms : 387 ( 69 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 554 ( 283 ~; 271 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [U] :
( equalelemsP(cons(U,nil))
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [U] :
( nil = U
| ssList(tl(U))
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [U] :
( nil = U
| ssItem(hd(U))
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ frontsegP(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(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [U] :
( nil = U
| cons(hd(U),tl(U)) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [U,V,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [U,V,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f178,axiom,
! [U,V,W,X] :
( frontsegP(cons(W,U),cons(X,V))
| ~ ssItem(W)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(V)
| W != X
| ~ frontsegP(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( ~ equalelemsP(A)
| ~ segmentP(A,sk3)
| ~ frontsegP(sk4,A)
| ~ neq(sk3,A)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f206,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f258,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f262,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f272,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f274,plain,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f275,plain,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f283,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f284,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f297,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f298,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f301,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f305,plain,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f358,plain,
! [U,W] :
( frontsegP(W,U)
| ~ ssList(W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != W ) ),
inference(miniscoping,[status(thm)],[f144]) ).
fof(f359,plain,
! [X0,X1,X2] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f376,plain,
! [U,W] :
( frontsegP(U,W)
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ ssList(W)
| ~ frontsegP(V,W)
| ~ frontsegP(U,V) ) ),
inference(miniscoping,[status(thm)],[f154]) ).
fof(f377,plain,
! [X0,X1,X2] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f414,plain,
! [X0,X1,X2,X3] :
( frontsegP(cons(X2,X0),cons(X3,X1))
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| X2 != X3
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f429,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f430,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
frontsegP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0)
| ~ neq(sk3,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f439,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f440,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f441,plain,
( ~ frontsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f457,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f359]) ).
fof(f462,plain,
! [X0,X1,X3] :
( frontsegP(cons(X3,X0),cons(X3,X1))
| ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f414]) ).
fof(f463,plain,
! [X0,X1,X2] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f462]) ).
fof(f473,plain,
frontsegP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f474,plain,
frontsegP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f434,f473]) ).
fof(f486,plain,
( ~ neq(sk1,nil)
| nil = sk2 ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f474]) ).
fof(f487,plain,
( ~ neq(sk1,nil)
| nil != sk1 ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f474]) ).
fof(f488,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0)
| ~ neq(sk1,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f437]) ).
fof(f489,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk2,X0)
| ~ neq(sk1,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f488]) ).
fof(f490,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,sk1)
| ~ frontsegP(sk2,X0)
| ~ neq(sk1,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f489]) ).
fof(f516,plain,
! [X0] :
( sk1 = X0
| neq(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f301,f429]) ).
fof(f575,plain,
( nil = sk2
| sk1 = nil
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f516,f486]) ).
fof(f578,plain,
( nil = sk2
| sk1 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f206]) ).
fof(f584,plain,
( sk1 = nil
| frontsegP(nil,sk1) ),
inference(paramodulation,[status(thm)],[f578,f474]) ).
fof(f586,plain,
( nil = sk1
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[f584,f283]) ).
fof(f587,plain,
( ~ ssList(sk1)
| sk1 = nil ),
inference(duplicate_literals_removal,[status(thm)],[f586]) ).
fof(f588,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f587,f429]) ).
fof(f591,plain,
! [X0] :
( nil = X0
| neq(sk1,X0)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f588,f516]) ).
fof(f593,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ neq(sk1,X0)
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f588,f490]) ).
fof(f594,plain,
( ~ neq(nil,nil)
| nil != sk1 ),
inference(backward_demodulation,[status(thm)],[f588,f487]) ).
fof(f596,plain,
( neq(sk2,nil)
| nil != nil ),
inference(backward_demodulation,[status(thm)],[f588,f440]) ).
fof(f601,plain,
! [X0] :
( nil = X0
| neq(nil,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f588,f591]) ).
fof(f602,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ neq(nil,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f588,f593]) ).
fof(f603,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ frontsegP(sk2,X0)
| ~ neq(nil,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f254]) ).
fof(f604,plain,
( ~ neq(nil,nil)
| nil != nil ),
inference(forward_demodulation,[status(thm)],[f588,f594]) ).
fof(f605,plain,
~ neq(nil,nil),
inference(trivial_equality_resolution,[status(thm)],[f604]) ).
fof(f606,plain,
neq(sk2,nil),
inference(trivial_equality_resolution,[status(thm)],[f596]) ).
fof(f638,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f601,f603]) ).
fof(f640,plain,
! [X0] :
( ~ equalelemsP(X0)
| ~ frontsegP(sk2,X0)
| nil = X0
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f638]) ).
fof(f641,plain,
! [X0] :
( ~ ssItem(X0)
| ~ frontsegP(sk2,cons(X0,nil))
| nil = cons(X0,nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[status(thm)],[f640,f262]) ).
fof(f691,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[f272,f430]) ).
fof(f822,plain,
! [X0,X1] :
( frontsegP(app(X1,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f457,f284]) ).
fof(f990,plain,
! [X0] :
( ~ ssItem(X0)
| ~ frontsegP(sk2,cons(X0,nil))
| nil = cons(X0,nil)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f285,f641]) ).
fof(f997,plain,
! [X0] :
( ~ frontsegP(sk2,cons(X0,nil))
| nil = cons(X0,nil)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f990]) ).
fof(f998,plain,
! [X0] :
( ~ frontsegP(sk2,cons(X0,nil))
| nil = cons(X0,nil)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f206]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ ssList(sk2)
| ~ ssList(X1)
| ~ ssList(cons(X0,nil))
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| nil = cons(X0,nil)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f998,f377]) ).
fof(f1001,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(cons(X0,nil))
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| nil = cons(X0,nil)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f430]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| nil = cons(X0,nil)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1001,f285]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| nil = cons(X0,nil)
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1163]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f298]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ frontsegP(sk2,X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f206]) ).
fof(f1170,plain,
! [X0,X1,X2] :
( ~ ssList(sk2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ frontsegP(sk2,X2)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1166,f377]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ ssList(sk2)
| ~ ssList(X2)
| ~ frontsegP(X2,X1)
| ~ frontsegP(sk2,X2)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1170]) ).
fof(f1176,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ frontsegP(X2,X1)
| ~ frontsegP(sk2,X2)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f430]) ).
fof(f1248,plain,
! [X0] :
( frontsegP(app(sk2,X0),sk2)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f822,f430]) ).
fof(f1308,plain,
( frontsegP(sk2,sk2)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f691,f1248]) ).
fof(f1310,plain,
frontsegP(sk2,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f206]) ).
fof(f1401,plain,
! [X0,X1,X2] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X1,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,cons(X0,X1))
| ~ frontsegP(sk2,X2)
| ~ ssList(cons(X0,X1))
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1176,f463]) ).
fof(f1406,plain,
! [X0,X1,X2] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ frontsegP(X1,nil)
| ~ ssList(X2)
| ~ frontsegP(X2,cons(X0,X1))
| ~ frontsegP(sk2,X2)
| ~ ssList(cons(X0,X1))
| ~ ssItem(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1401]) ).
fof(f1407,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ frontsegP(X2,nil)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,X2))
| ~ frontsegP(sk2,X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1406,f285]) ).
fof(f1620,plain,
( nil = sk2
| cons(hd(sk2),tl(sk2)) = sk2 ),
inference(resolution,[status(thm)],[f305,f430]) ).
fof(f1630,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,X2))
| ~ frontsegP(sk2,X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f258]) ).
fof(f1631,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,cons(X0,X2))
| ~ frontsegP(sk2,X1)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1630,f206]) ).
fof(f1632,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(sk2)
| ~ frontsegP(sk2,cons(X0,X1))
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f1631,f1310]) ).
fof(f1638,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ frontsegP(sk2,cons(X0,X1))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f430]) ).
fof(f1648,plain,
( nil = sk2
| ~ ssList(tl(sk2))
| ~ frontsegP(sk2,sk2)
| ~ ssItem(hd(sk2)) ),
inference(paramodulation,[status(thm)],[f1620,f1638]) ).
fof(f1650,plain,
( nil = sk2
| ~ ssList(tl(sk2))
| ~ ssItem(hd(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1648,f1310]) ).
fof(f1890,plain,
( nil = sk2
| ~ ssList(sk2)
| nil = sk2
| ~ ssItem(hd(sk2)) ),
inference(resolution,[status(thm)],[f1650,f274]) ).
fof(f1891,plain,
( ~ ssList(sk2)
| nil = sk2
| ~ ssItem(hd(sk2)) ),
inference(duplicate_literals_removal,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ ssList(sk2)
| nil = sk2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1891,f275]) ).
fof(f1942,plain,
neq(nil,nil),
inference(backward_demodulation,[status(thm)],[f1948,f606]) ).
fof(f1948,plain,
nil = sk2,
inference(forward_subsumption_resolution,[status(thm)],[f1892,f430]) ).
fof(f1993,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1942,f605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC099-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:55:36 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 219.94/28.18 % Refutation found
% 219.94/28.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 219.94/28.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 138.16/28.27 % Elapsed time: 27.897058 seconds
% 138.16/28.27 % CPU time: 220.982378 seconds
% 138.16/28.27 % Total memory used: 729.161 MB
% 138.16/28.27 % Net memory used: 669.874 MB
%------------------------------------------------------------------------------