%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC110-1 : 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 02:40:01 PM UTC 2026
% Result : Unsatisfiable 238.44s 30.62s
% Output : CNFRefutation 239.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 63 ( 25 unt; 0 def)
% Number of atoms : 148 ( 54 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 170 ( 85 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
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(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f208,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f275,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f303,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f327,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f328,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f327]) ).
fof(f406,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f407,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f431,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f432,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f435,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f436,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f437,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f438,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f442,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f444,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f445,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f446,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f465,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f407]) ).
fof(f488,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[f275,f431]) ).
fof(f503,plain,
app(sk1,sk5) = sk4,
inference(forward_demodulation,[status(thm)],[f436,f438]) ).
fof(f504,plain,
app(sk1,sk5) = sk2,
inference(forward_demodulation,[status(thm)],[f435,f503]) ).
fof(f507,plain,
( nil != sk3
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f435,f442]) ).
fof(f508,plain,
( nil != sk1
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f436,f507]) ).
fof(f544,plain,
( sk1 = nil
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ segmentP(sk2,sk1)
| nil = sk2 ),
inference(resolution,[status(thm)],[f444,f303]) ).
fof(f545,plain,
( sk1 = nil
| ~ ssList(sk1)
| ~ segmentP(sk2,sk1)
| nil = sk2 ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f208]) ).
fof(f565,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| app(X0,sk5) != nil ),
inference(resolution,[status(thm)],[f328,f437]) ).
fof(f999,plain,
( sk1 = nil
| ~ segmentP(sk2,sk1)
| nil = sk2 ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f431]) ).
fof(f1009,plain,
! [X0] :
( segmentP(app(app(nil,sk1),X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f488,f465]) ).
fof(f1019,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f488,f1009]) ).
fof(f1020,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(sk1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f208]) ).
fof(f1062,plain,
( nil = sk1
| app(sk1,sk5) != nil ),
inference(resolution,[status(thm)],[f565,f431]) ).
fof(f1064,plain,
( nil = sk1
| sk2 != nil ),
inference(forward_demodulation,[status(thm)],[f504,f1062]) ).
fof(f1099,plain,
( sk1 = nil
| ~ segmentP(sk2,sk1) ),
inference(backward_subsumption_resolution,[status(thm)],[f999,f1064]) ).
fof(f1324,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(backward_subsumption_resolution,[status(thm)],[f446,f1099]) ).
fof(f10357,plain,
! [X0] :
( segmentP(app(sk1,X0),sk1)
| ~ ssList(app(sk1,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f431]) ).
fof(f10360,plain,
( segmentP(app(sk1,sk5),sk1)
| ~ ssList(sk2)
| ~ ssList(sk5) ),
inference(paramodulation,[status(thm)],[f504,f10357]) ).
fof(f10364,plain,
( segmentP(sk2,sk1)
| ~ ssList(sk2)
| ~ ssList(sk5) ),
inference(forward_demodulation,[status(thm)],[f504,f10360]) ).
fof(f10365,plain,
( segmentP(sk2,sk1)
| ~ ssList(sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f10364,f437]) ).
fof(f10397,plain,
~ neq(sk1,nil),
inference(backward_subsumption_resolution,[status(thm)],[f1324,f10399]) ).
fof(f10398,plain,
sk1 = nil,
inference(backward_subsumption_resolution,[status(thm)],[f1099,f10399]) ).
fof(f10399,plain,
segmentP(sk2,sk1),
inference(forward_subsumption_resolution,[status(thm)],[f10365,f432]) ).
fof(f10414,plain,
~ neq(nil,nil),
inference(backward_demodulation,[status(thm)],[f10398,f10397]) ).
fof(f10471,plain,
( neq(sk2,nil)
| nil != nil ),
inference(backward_demodulation,[status(thm)],[f10398,f445]) ).
fof(f10473,plain,
( nil != nil
| nil = sk2 ),
inference(backward_demodulation,[status(thm)],[f10398,f508]) ).
fof(f10548,plain,
neq(sk2,nil),
inference(trivial_equality_resolution,[status(thm)],[f10471]) ).
fof(f10550,plain,
nil = sk2,
inference(trivial_equality_resolution,[status(thm)],[f10473]) ).
fof(f10688,plain,
neq(nil,nil),
inference(forward_demodulation,[status(thm)],[f10550,f10548]) ).
fof(f10689,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10688,f10414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC110-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:56:26 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 238.44/30.62 % Refutation found
% 238.44/30.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 238.44/30.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.07/30.77 % Elapsed time: 30.377460 seconds
% 15.07/30.77 % CPU time: 239.778168 seconds
% 15.07/30.77 % Total memory used: 641.785 MB
% 15.07/30.77 % Net memory used: 590.036 MB
%------------------------------------------------------------------------------