%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:39:38 PM UTC 2026
% Result : Unsatisfiable 11.16s 2.04s
% Output : CNFRefutation 11.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 13 unt; 0 def)
% Number of atoms : 175 ( 78 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 176 ( 72 ~; 104 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,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(f104,axiom,
! [U] :
( nil = U
| cons(hd(U),tl(U)) = U
| ~ ssList(U) ),
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(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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(f193,negated_conjecture,
! [A] :
( ~ memberP(sk3,A)
| memberP(sk4,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( ~ memberP(sk4,A)
| memberP(sk3,A)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f269,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
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(f305,plain,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f351,plain,
! [X0,X1,X2] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f431,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f432,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
! [X0] :
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f441,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f448,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(destructive_equality_resolution,[status(thm)],[f351]) ).
fof(f449,plain,
! [X0,X1] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f448]) ).
fof(f454,plain,
( nil = sk1
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f433,f438]) ).
fof(f455,plain,
( nil = sk3
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f454]) ).
fof(f466,plain,
! [X0] :
( ~ memberP(nil,hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f275,f269]) ).
fof(f470,plain,
( nil = sk4
| cons(hd(sk4),tl(sk4)) = sk4 ),
inference(resolution,[status(thm)],[f305,f432]) ).
fof(f472,plain,
( nil = sk3
| cons(hd(sk3),tl(sk3)) = sk3 ),
inference(resolution,[status(thm)],[f305,f431]) ).
fof(f609,plain,
( nil != sk2
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f434,f441]) ).
fof(f610,plain,
( nil != sk4
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f433,f609]) ).
fof(f617,plain,
( ~ memberP(nil,hd(sk4))
| nil = sk4 ),
inference(resolution,[status(thm)],[f466,f432]) ).
fof(f624,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| memberP(cons(hd(X1),X0),hd(X1))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f449,f275]) ).
fof(f684,plain,
! [X0] :
( nil = sk4
| memberP(cons(hd(sk4),X0),hd(sk4))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f624,f432]) ).
fof(f686,plain,
! [X0] :
( nil = sk3
| memberP(cons(hd(sk3),X0),hd(sk3))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f624,f431]) ).
fof(f725,plain,
( nil = sk4
| nil = sk4
| memberP(sk4,hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(paramodulation,[status(thm)],[f470,f684]) ).
fof(f726,plain,
( nil = sk4
| memberP(sk4,hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(duplicate_literals_removal,[status(thm)],[f725]) ).
fof(f727,plain,
( nil = sk4
| ~ ssList(sk4)
| nil = sk4
| memberP(sk4,hd(sk4)) ),
inference(resolution,[status(thm)],[f726,f274]) ).
fof(f728,plain,
( ~ ssList(sk4)
| nil = sk4
| memberP(sk4,hd(sk4)) ),
inference(duplicate_literals_removal,[status(thm)],[f727]) ).
fof(f729,plain,
( nil = sk4
| memberP(sk4,hd(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f432]) ).
fof(f731,plain,
( memberP(sk3,hd(sk4))
| ~ ssItem(hd(sk4))
| nil = sk4 ),
inference(resolution,[status(thm)],[f729,f437]) ).
fof(f732,plain,
( nil = sk4
| ~ ssList(sk4)
| memberP(sk3,hd(sk4))
| nil = sk4 ),
inference(resolution,[status(thm)],[f731,f275]) ).
fof(f734,plain,
( ~ ssList(sk4)
| memberP(sk3,hd(sk4))
| nil = sk4 ),
inference(duplicate_literals_removal,[status(thm)],[f732]) ).
fof(f735,plain,
( memberP(sk3,hd(sk4))
| nil = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f432]) ).
fof(f746,plain,
( nil = sk3
| nil = sk3
| memberP(sk3,hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(paramodulation,[status(thm)],[f472,f686]) ).
fof(f747,plain,
( nil = sk3
| memberP(sk3,hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(duplicate_literals_removal,[status(thm)],[f746]) ).
fof(f748,plain,
( nil = sk3
| ~ ssList(sk3)
| nil = sk3
| memberP(sk3,hd(sk3)) ),
inference(resolution,[status(thm)],[f747,f274]) ).
fof(f749,plain,
( ~ ssList(sk3)
| nil = sk3
| memberP(sk3,hd(sk3)) ),
inference(duplicate_literals_removal,[status(thm)],[f748]) ).
fof(f750,plain,
( nil = sk3
| memberP(sk3,hd(sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f431]) ).
fof(f752,plain,
( memberP(sk4,hd(sk3))
| ~ ssItem(hd(sk3))
| nil = sk3 ),
inference(resolution,[status(thm)],[f750,f436]) ).
fof(f753,plain,
( nil = sk3
| ~ ssList(sk3)
| memberP(sk4,hd(sk3))
| nil = sk3 ),
inference(resolution,[status(thm)],[f752,f275]) ).
fof(f755,plain,
( ~ ssList(sk3)
| memberP(sk4,hd(sk3))
| nil = sk3 ),
inference(duplicate_literals_removal,[status(thm)],[f753]) ).
fof(f756,plain,
( memberP(sk4,hd(sk3))
| nil = sk3 ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f431]) ).
fof(f822,plain,
( nil = sk4
| ~ memberP(sk3,hd(sk4))
| nil = sk4 ),
inference(paramodulation,[status(thm)],[f455,f617]) ).
fof(f823,plain,
( ~ memberP(sk3,hd(sk4))
| nil = sk4 ),
inference(duplicate_literals_removal,[status(thm)],[f822]) ).
fof(f824,plain,
nil = sk4,
inference(forward_subsumption_resolution,[status(thm)],[f823,f735]) ).
fof(f842,plain,
( memberP(sk4,hd(sk3))
| sk4 = sk3 ),
inference(backward_demodulation,[status(thm)],[f824,f756]) ).
fof(f877,plain,
( sk4 != sk4
| nil != sk3 ),
inference(backward_demodulation,[status(thm)],[f824,f610]) ).
fof(f920,plain,
! [X0] :
( sk4 = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(backward_demodulation,[status(thm)],[f824,f275]) ).
fof(f930,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(backward_demodulation,[status(thm)],[f824,f269]) ).
fof(f949,plain,
( sk4 != sk4
| sk4 != sk3 ),
inference(forward_demodulation,[status(thm)],[f824,f877]) ).
fof(f950,plain,
sk4 != sk3,
inference(trivial_equality_resolution,[status(thm)],[f949]) ).
fof(f974,plain,
( sk4 = sk3
| ssItem(hd(sk3)) ),
inference(resolution,[status(thm)],[f920,f431]) ).
fof(f995,plain,
( ~ ssItem(hd(sk3))
| sk4 = sk3 ),
inference(resolution,[status(thm)],[f842,f930]) ).
fof(f998,plain,
sk4 = sk3,
inference(forward_subsumption_resolution,[status(thm)],[f995,f974]) ).
fof(f1776,plain,
sk4 != sk4,
inference(forward_demodulation,[status(thm)],[f998,f950]) ).
fof(f1777,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n008.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 07:50:55 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 11.16/2.04 % Refutation found
% 11.16/2.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.16/2.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.16/2.09 % Elapsed time: 1.607162 seconds
% 11.16/2.09 % CPU time: 12.158278 seconds
% 11.16/2.09 % Total memory used: 201.793 MB
% 11.16/2.09 % Net memory used: 195.301 MB
%------------------------------------------------------------------------------