%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:41:09 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 127 ( 36 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 173 ( 90 ~; 83 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [U] :
( nil = U
| ssList(tl(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(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != A
| sk3 = A
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
! [A] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != A
| tl(sk2) != A
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f273,plain,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f300,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f318,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f319,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f318]) ).
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)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f440,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ! [A] :
( tl(sk4) != A
| sk3 = A
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f196]) ).
fof(f441,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X0
| sk3 = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| ! [A] :
( sk1 != A
| tl(sk2) != A
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f443,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != X0
| tl(sk2) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f451,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f319]) ).
fof(f452,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f451]) ).
fof(f473,plain,
neq(sk2,nil),
inference(duplicate_literals_removal,[status(thm)],[f434]) ).
fof(f476,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = tl(sk4)
| ~ ssList(tl(sk4)) ),
inference(destructive_equality_resolution,[status(thm)],[f441]) ).
fof(f477,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(destructive_equality_resolution,[status(thm)],[f443]) ).
fof(f484,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = tl(sk4)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f432,f476]) ).
fof(f485,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk1 = tl(sk4)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f433,f484]) ).
fof(f486,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk1 = tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f432,f485]) ).
fof(f487,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 = tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f432,f486]) ).
fof(f488,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| sk1 = tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f432,f487]) ).
fof(f489,plain,
( ~ neq(nil,sk2)
| sk1 = tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f473]) ).
fof(f508,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| sk1 != tl(sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_demodulation,[status(thm)],[f432,f477]) ).
fof(f509,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssList(tl(sk2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f489]) ).
fof(f512,plain,
( ~ neq(nil,sk2)
| ~ ssList(tl(sk2)) ),
inference(resolution,[status(thm)],[f509,f473]) ).
fof(f520,plain,
( nil = sk2
| ~ ssList(nil)
| ~ ssList(sk2)
| ~ ssList(tl(sk2)) ),
inference(resolution,[status(thm)],[f512,f300]) ).
fof(f521,plain,
( nil = sk2
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f273]) ).
fof(f522,plain,
( nil = sk2
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f429]) ).
fof(f523,plain,
nil = sk2,
inference(resolution,[status(thm)],[f522,f205]) ).
fof(f528,plain,
neq(nil,nil),
inference(backward_demodulation,[status(thm)],[f523,f473]) ).
fof(f533,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[f528,f452]) ).
fof(f534,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f533,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.42 % Computer : n015.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 08:26:06 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.51 % Elapsed time: 0.076814 seconds
% 0.18/0.51 % CPU time: 0.189921 seconds
% 0.18/0.51 % Total memory used: 84.885 MB
% 0.18/0.51 % Net memory used: 84.750 MB
%------------------------------------------------------------------------------