%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC118-1 : 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 02:40:02 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 19 unt; 0 def)
% Number of atoms : 96 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 59 ~; 52 |; 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(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(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
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,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f208,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f257,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f303,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f405,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(f433,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
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,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f445,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f446,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f447,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f479,plain,
( nil != sk3
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f435,f445]) ).
fof(f480,plain,
( nil != sk3
| nil != sk2 ),
inference(forward_demodulation,[status(thm)],[f436,f446]) ).
fof(f481,plain,
nil != sk3,
inference(forward_subsumption_resolution,[status(thm)],[f480,f479]) ).
fof(f482,plain,
app(app(sk5,sk3),sk6) = sk2,
inference(forward_demodulation,[status(thm)],[f435,f439]) ).
fof(f485,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f436,f447]) ).
fof(f486,plain,
( ~ segmentP(sk2,sk3)
| ~ neq(sk3,nil) ),
inference(forward_demodulation,[status(thm)],[f436,f485]) ).
fof(f488,plain,
( ~ segmentP(sk2,sk3)
| sk3 = nil
| ~ ssList(sk3)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f303,f486]) ).
fof(f491,plain,
( ~ segmentP(sk2,sk3)
| sk3 = nil
| ~ ssList(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f208]) ).
fof(f500,plain,
( ~ segmentP(sk2,sk3)
| sk3 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f433]) ).
fof(f618,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ segmentP(sk3,X0) ),
inference(paramodulation,[status(thm)],[f482,f405]) ).
fof(f622,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f438]) ).
fof(f624,plain,
! [X0] :
( segmentP(sk2,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f437]) ).
fof(f626,plain,
( sk3 = nil
| ~ ssList(sk3)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3) ),
inference(resolution,[status(thm)],[f624,f500]) ).
fof(f632,plain,
( sk3 = nil
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3) ),
inference(duplicate_literals_removal,[status(thm)],[f626]) ).
fof(f633,plain,
( sk3 = nil
| ~ ssList(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f257]) ).
fof(f656,plain,
nil != nil,
inference(backward_demodulation,[status(thm)],[f660,f481]) ).
fof(f660,plain,
sk3 = nil,
inference(forward_subsumption_resolution,[status(thm)],[f633,f433]) ).
fof(f670,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f656]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:57:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.086827 seconds
% 0.13/0.46 % CPU time: 0.317455 seconds
% 0.13/0.46 % Total memory used: 67.405 MB
% 0.13/0.46 % Net memory used: 67.243 MB
%------------------------------------------------------------------------------