%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC090-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:39:55 PM UTC 2026
% Result : Unsatisfiable 212.58s 28.82s
% Output : CNFRefutation 212.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 43 unt; 0 def)
% Number of atoms : 182 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 192 ( 101 ~; 91 |; 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [U,V,W,X] :
( segmentP(app(app(X,U),W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(X)
| ~ ssList(W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f271,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f272,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f300,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f402,plain,
! [X0,X1,X2,X3] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f429,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
app(sk6,sk5) = sk3,
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f473,plain,
app(sk5,sk6) = sk2,
inference(forward_demodulation,[status(thm)],[f432,f438]) ).
fof(f474,plain,
app(sk6,sk5) = sk1,
inference(forward_demodulation,[status(thm)],[f433,f439]) ).
fof(f475,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[f271,f429]) ).
fof(f477,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[f271,f428]) ).
fof(f486,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f435,f434]) ).
fof(f487,plain,
( ~ segmentP(sk1,sk2)
| ~ segmentP(sk2,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f429]) ).
fof(f489,plain,
app(nil,sk5) = sk5,
inference(resolution,[status(thm)],[f436,f272]) ).
fof(f490,plain,
app(sk5,nil) = sk5,
inference(resolution,[status(thm)],[f436,f271]) ).
fof(f491,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f300,f435]) ).
fof(f493,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(duplicate_literals_removal,[status(thm)],[f491]) ).
fof(f494,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| X0 = nil
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f205]) ).
fof(f530,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[f437,f272]) ).
fof(f531,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[f437,f271]) ).
fof(f560,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| sk2 = nil
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f494,f254]) ).
fof(f561,plain,
( ~ segmentP(sk1,sk2)
| sk2 = nil
| ~ ssList(sk2) ),
inference(duplicate_literals_removal,[status(thm)],[f560]) ).
fof(f562,plain,
( ~ segmentP(sk1,sk2)
| sk2 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f429]) ).
fof(f858,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f402,f254]) ).
fof(f861,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f858]) ).
fof(f893,plain,
! [X0,X1] :
( segmentP(app(app(sk6,X1),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f861,f437]) ).
fof(f895,plain,
! [X0,X1] :
( segmentP(app(app(sk5,X1),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f861,f436]) ).
fof(f899,plain,
! [X0,X1] :
( segmentP(app(app(nil,X1),X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f861,f205]) ).
fof(f1023,plain,
! [X0] :
( segmentP(app(sk6,X0),nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f531,f893]) ).
fof(f1024,plain,
! [X0] :
( segmentP(app(sk1,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f474,f893]) ).
fof(f1028,plain,
! [X0] :
( segmentP(app(sk6,X0),nil)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f205]) ).
fof(f1029,plain,
! [X0] :
( segmentP(app(sk1,X0),sk5)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f436]) ).
fof(f1033,plain,
( segmentP(sk6,nil)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f531,f1028]) ).
fof(f1035,plain,
segmentP(sk6,nil),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f205]) ).
fof(f1059,plain,
( segmentP(sk1,sk5)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f477,f1029]) ).
fof(f1063,plain,
segmentP(sk1,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f205]) ).
fof(f1105,plain,
! [X0] :
( segmentP(app(sk2,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f473,f895]) ).
fof(f1110,plain,
! [X0] :
( segmentP(app(sk2,X0),sk6)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1105,f437]) ).
fof(f1128,plain,
( segmentP(sk2,sk6)
| ~ ssList(nil) ),
inference(paramodulation,[status(thm)],[f475,f1110]) ).
fof(f1132,plain,
segmentP(sk2,sk6),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f205]) ).
fof(f1215,plain,
( ~ segmentP(sk1,sk6)
| sk6 = nil
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[f1132,f494]) ).
fof(f1219,plain,
( ~ segmentP(sk1,sk6)
| sk6 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f437]) ).
fof(f1252,plain,
! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f530,f899]) ).
fof(f1260,plain,
! [X0] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f437]) ).
fof(f1268,plain,
( segmentP(sk1,sk6)
| ~ ssList(sk5) ),
inference(paramodulation,[status(thm)],[f474,f1260]) ).
fof(f1273,plain,
sk6 = nil,
inference(backward_subsumption_resolution,[status(thm)],[f1219,f1274]) ).
fof(f1274,plain,
segmentP(sk1,sk6),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f436]) ).
fof(f1278,plain,
segmentP(nil,nil),
inference(backward_demodulation,[status(thm)],[f1273,f1035]) ).
fof(f1293,plain,
app(nil,sk5) = sk1,
inference(backward_demodulation,[status(thm)],[f1273,f474]) ).
fof(f1294,plain,
app(sk5,nil) = sk2,
inference(backward_demodulation,[status(thm)],[f1273,f473]) ).
fof(f1360,plain,
segmentP(sk1,sk1),
inference(backward_demodulation,[status(thm)],[f1442,f1063]) ).
fof(f1442,plain,
sk5 = sk1,
inference(forward_demodulation,[status(thm)],[f489,f1293]) ).
fof(f1443,plain,
sk5 = sk2,
inference(forward_demodulation,[status(thm)],[f490,f1294]) ).
fof(f1453,plain,
( ~ segmentP(sk1,sk1)
| sk2 = nil ),
inference(backward_demodulation,[status(thm)],[f1519,f562]) ).
fof(f1458,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(sk2,sk2) ),
inference(backward_demodulation,[status(thm)],[f1519,f487]) ).
fof(f1519,plain,
sk1 = sk2,
inference(forward_demodulation,[status(thm)],[f1442,f1443]) ).
fof(f1706,plain,
( ~ segmentP(sk1,sk1)
| sk1 = nil ),
inference(forward_demodulation,[status(thm)],[f1519,f1453]) ).
fof(f1779,plain,
sk1 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f1706,f1360]) ).
fof(f1790,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(sk1,sk2) ),
inference(forward_demodulation,[status(thm)],[f1519,f1458]) ).
fof(f1791,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(nil,sk2) ),
inference(forward_demodulation,[status(thm)],[f1779,f1790]) ).
fof(f1792,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(nil,sk1) ),
inference(forward_demodulation,[status(thm)],[f1519,f1791]) ).
fof(f1793,plain,
( ~ segmentP(sk1,sk1)
| ~ segmentP(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f1779,f1792]) ).
fof(f1794,plain,
( ~ segmentP(nil,sk1)
| ~ segmentP(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f1779,f1793]) ).
fof(f1795,plain,
( ~ segmentP(nil,nil)
| ~ segmentP(nil,nil) ),
inference(forward_demodulation,[status(thm)],[f1779,f1794]) ).
fof(f1796,plain,
~ segmentP(nil,nil),
inference(duplicate_literals_removal,[status(thm)],[f1795]) ).
fof(f1797,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1796,f1278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC090-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.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 07:55:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 212.58/28.82 % Refutation found
% 212.58/28.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 212.58/28.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.15/29.01 % Elapsed time: 28.624545 seconds
% 29.15/29.01 % CPU time: 213.384339 seconds
% 29.15/29.01 % Total memory used: 742.722 MB
% 29.15/29.01 % Net memory used: 682.682 MB
%------------------------------------------------------------------------------