%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC076-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:39:52 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 20 unt; 0 def)
% Number of atoms : 127 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 162 ( 84 ~; 78 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 27 ( 27 !; 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(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
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,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/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(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(f432,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
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,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f438,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f446,plain,
( nil != sk3
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f447,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f466,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(f479,plain,
( nil != sk3
| nil = sk2 ),
inference(forward_demodulation,[status(thm)],[f435,f446]) ).
fof(f480,plain,
( nil != sk3
| nil != sk2 ),
inference(forward_demodulation,[status(thm)],[f436,f447]) ).
fof(f481,plain,
nil != sk3,
inference(forward_subsumption_resolution,[status(thm)],[f480,f479]) ).
fof(f482,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f436,f437]) ).
fof(f485,plain,
app(app(sk5,sk3),sk6) = sk2,
inference(forward_demodulation,[status(thm)],[f435,f440]) ).
fof(f487,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f303,f482]) ).
fof(f490,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk2,X0)
| X0 = nil
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(duplicate_literals_removal,[status(thm)],[f487]) ).
fof(f491,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk2,X0)
| X0 = nil
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f208]) ).
fof(f593,plain,
( segmentP(sk2,sk3)
| ~ ssList(app(app(sk5,sk3),sk6))
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f485,f466]) ).
fof(f597,plain,
( segmentP(sk2,sk3)
| ~ ssList(sk2)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(forward_demodulation,[status(thm)],[f485,f593]) ).
fof(f598,plain,
( segmentP(sk2,sk3)
| ~ ssList(sk2)
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f439]) ).
fof(f601,plain,
( segmentP(sk2,sk3)
| ~ ssList(sk2)
| ~ ssList(sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f438]) ).
fof(f602,plain,
( ~ segmentP(sk3,sk3)
| sk3 = nil
| ~ ssList(sk3)
| ~ ssList(sk2)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f601,f491]) ).
fof(f605,plain,
( ~ segmentP(sk3,sk3)
| sk3 = nil
| ~ ssList(sk2)
| ~ ssList(sk3) ),
inference(duplicate_literals_removal,[status(thm)],[f602]) ).
fof(f606,plain,
( ~ segmentP(sk3,sk3)
| sk3 = nil
| ~ ssList(sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f433]) ).
fof(f611,plain,
( ~ segmentP(sk3,sk3)
| sk3 = nil ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f432]) ).
fof(f613,plain,
( ~ ssList(sk3)
| sk3 = nil ),
inference(resolution,[status(thm)],[f611,f257]) ).
fof(f616,plain,
~ ssList(sk3),
inference(forward_subsumption_resolution,[status(thm)],[f613,f481]) ).
fof(f617,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f616,f433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC076-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:56:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.061768 seconds
% 0.10/0.44 % CPU time: 0.178098 seconds
% 0.10/0.44 % Total memory used: 109.288 MB
% 0.10/0.44 % Net memory used: 109.129 MB
%------------------------------------------------------------------------------