%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC080-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:39:53 PM UTC 2026
% Result : Unsatisfiable 5.70s 1.50s
% Output : CNFRefutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 25 unt; 0 def)
% Number of atoms : 155 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 186 ( 96 ~; 90 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U,V] : ssList(skaf45(U,V)),
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(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f132,axiom,
! [U,V] :
( app(V,skaf45(U,V)) = U
| ~ ssList(U)
| ~ ssList(V)
| ~ frontsegP(U,V) ),
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(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(f192,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f211,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f278,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f289,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f348,plain,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f409,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(f410,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)],[f409]) ).
fof(f434,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f437,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f438,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f439,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f440,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f448,plain,
( ~ neq(sk4,nil)
| ! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f449,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f451,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f452,plain,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk5) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f453,plain,
( ~ neq(sk4,nil)
| frontsegP(sk3,sk5) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f472,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)],[f410]) ).
fof(f483,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f440]) ).
fof(f486,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f438,f483]) ).
fof(f490,plain,
ssList(sk5),
inference(forward_subsumption_resolution,[status(thm)],[f450,f486]) ).
fof(f509,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f438,f449]) ).
fof(f510,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f486]) ).
fof(f515,plain,
neq(sk5,nil),
inference(forward_subsumption_resolution,[status(thm)],[f451,f486]) ).
fof(f516,plain,
frontsegP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f452,f486]) ).
fof(f519,plain,
( ~ neq(sk4,nil)
| frontsegP(sk1,sk5) ),
inference(forward_demodulation,[status(thm)],[f439,f453]) ).
fof(f520,plain,
frontsegP(sk1,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f519,f486]) ).
fof(f886,plain,
app(nil,sk5) = sk5,
inference(resolution,[status(thm)],[f278,f490]) ).
fof(f1095,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f289,f472]) ).
fof(f1117,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1095]) ).
fof(f1118,plain,
! [X0,X1,X2] :
( segmentP(app(app(X1,X2),X0),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f289]) ).
fof(f1343,plain,
! [X0] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f886,f1118]) ).
fof(f1362,plain,
! [X0] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1343,f211]) ).
fof(f1630,plain,
! [X0] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1362,f490]) ).
fof(f3241,plain,
( app(sk5,skaf45(sk1,sk5)) = sk1
| ~ ssList(sk1)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f348,f520]) ).
fof(f3243,plain,
( app(sk5,skaf45(sk4,sk5)) = sk4
| ~ ssList(sk4)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f348,f516]) ).
fof(f3254,plain,
( app(sk5,skaf45(sk1,sk5)) = sk1
| ~ ssList(sk1) ),
inference(forward_subsumption_resolution,[status(thm)],[f3241,f490]) ).
fof(f3256,plain,
( app(sk5,skaf45(sk4,sk5)) = sk4
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[f3243,f490]) ).
fof(f3338,plain,
app(sk5,skaf45(sk1,sk5)) = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f3254,f434]) ).
fof(f3343,plain,
( segmentP(sk1,sk5)
| ~ ssList(skaf45(sk1,sk5)) ),
inference(paramodulation,[status(thm)],[f3338,f1630]) ).
fof(f3362,plain,
segmentP(sk1,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f3343,f254]) ).
fof(f3541,plain,
app(sk5,skaf45(sk4,sk5)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[f3256,f437]) ).
fof(f3546,plain,
( segmentP(sk4,sk5)
| ~ ssList(skaf45(sk4,sk5)) ),
inference(paramodulation,[status(thm)],[f3541,f1630]) ).
fof(f3565,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f3546,f254]) ).
fof(f3579,plain,
( ~ segmentP(sk1,sk5)
| ~ neq(sk5,nil)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f3565,f510]) ).
fof(f3582,plain,
( ~ segmentP(sk1,sk5)
| ~ neq(sk5,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f3579,f490]) ).
fof(f3779,plain,
~ segmentP(sk1,sk5),
inference(forward_subsumption_resolution,[status(thm)],[f3582,f515]) ).
fof(f3780,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f3362,f3779]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 07:58:37 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 5.70/1.50 % Refutation found
% 5.70/1.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.70/1.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.71/1.54 % Elapsed time: 1.076839 seconds
% 0.71/1.54 % CPU time: 8.100044 seconds
% 0.71/1.54 % Total memory used: 172.872 MB
% 0.71/1.54 % Net memory used: 166.480 MB
%------------------------------------------------------------------------------