%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC060-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:39:48 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 116 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 128 ( 62 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( nil = U
| ~ ssList(U)
| ~ segmentP(nil,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(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(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( segmentP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( segmentP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f256,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f280,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f320,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f430,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f433,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f437,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f440,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f441,plain,
( segmentP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f443,plain,
( segmentP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f451,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f321]) ).
fof(f452,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f451]) ).
fof(f477,plain,
( neq(sk4,nil)
| nil != sk1 ),
inference(forward_demodulation,[status(thm)],[f434,f438]) ).
fof(f478,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f437]) ).
fof(f479,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f478]) ).
fof(f483,plain,
( ~ ssList(sk1)
| ~ segmentP(sk4,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1)
| nil = sk4 ),
inference(resolution,[status(thm)],[f479,f256]) ).
fof(f488,plain,
( ~ segmentP(sk4,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1)
| nil = sk4 ),
inference(duplicate_literals_removal,[status(thm)],[f483]) ).
fof(f489,plain,
( ~ segmentP(sk4,sk1)
| ~ neq(sk1,nil)
| nil = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f430]) ).
fof(f490,plain,
( neq(sk1,nil)
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f435,f440]) ).
fof(f495,plain,
( segmentP(sk4,sk1)
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f435,f441]) ).
fof(f506,plain,
( segmentP(sk4,sk3)
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f435,f443]) ).
fof(f507,plain,
( segmentP(sk4,sk1)
| nil = sk1 ),
inference(forward_demodulation,[status(thm)],[f435,f506]) ).
fof(f531,plain,
nil = sk4,
inference(backward_subsumption_resolution,[status(thm)],[f495,f532]) ).
fof(f532,plain,
( ~ segmentP(sk4,sk1)
| nil = sk4 ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f490]) ).
fof(f536,plain,
( segmentP(sk4,sk1)
| sk4 = sk1 ),
inference(backward_demodulation,[status(thm)],[f531,f507]) ).
fof(f540,plain,
! [X0] :
( sk4 = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(backward_demodulation,[status(thm)],[f531,f280]) ).
fof(f543,plain,
( neq(sk4,sk4)
| nil != sk1 ),
inference(backward_demodulation,[status(thm)],[f531,f477]) ).
fof(f556,plain,
! [X0] :
( sk4 = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f531,f540]) ).
fof(f557,plain,
( neq(sk4,sk4)
| sk4 != sk1 ),
inference(forward_demodulation,[status(thm)],[f531,f543]) ).
fof(f573,plain,
( ~ ssList(sk4)
| sk4 != sk1 ),
inference(resolution,[status(thm)],[f557,f452]) ).
fof(f574,plain,
sk4 != sk1,
inference(forward_subsumption_resolution,[status(thm)],[f573,f433]) ).
fof(f576,plain,
segmentP(sk4,sk1),
inference(backward_subsumption_resolution,[status(thm)],[f536,f574]) ).
fof(f581,plain,
( sk4 = sk1
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f556,f576]) ).
fof(f584,plain,
sk4 = sk1,
inference(forward_subsumption_resolution,[status(thm)],[f581,f430]) ).
fof(f585,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f584,f574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC060-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.49 % Computer : n026.cluster.edu
% 0.16/0.49 % Model : x86_64 x86_64
% 0.16/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.49 % Memory : 8046.5625MB
% 0.16/0.49 % OS : Linux 6.8.0-71-generic
% 0.16/0.49 % CPULimit : 300
% 0.16/0.49 % WCLimit : 300
% 0.16/0.49 % DateTime : Mon Sep 21 07:55:39 UTC 2026
% 0.16/0.50 % CPUTime :
% 0.22/0.54 % Drodi V4.1.1
% 0.22/0.55 % Refutation found
% 0.22/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.62 % Elapsed time: 0.113435 seconds
% 0.22/0.62 % CPU time: 0.134271 seconds
% 0.22/0.62 % Total memory used: 17.163 MB
% 0.22/0.62 % Net memory used: 17.123 MB
%------------------------------------------------------------------------------