%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC040+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 : Tue Sep 29 01:04:24 PM UTC 2026
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 87 ( 51 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 98 ( 26 ~; 20 |; 40 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X1 != X3
| X0 != X2
| nil = X0
| ( nil != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) )
& neq(X3,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X1 != X3
| X0 != X2
| nil = X0
| ( nil != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(cons(X4,nil),X5) != X2
| app(X5,cons(X4,nil)) != X3 ) ) )
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X1
& X1 = X3
& X0 = X2
& nil != X0
& ( nil = X2
| nil != X3 )
& ( ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X1
& X1 = X3
& X0 = X2
& nil != X0
& ( nil = X2
| nil != X3 )
& ( ? [X4] :
( ? [X5] :
( app(cons(X4,nil),X5) = X2
& app(X5,cons(X4,nil)) = X3
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( nil = sK54
& sK54 = sK56
& sK53 = sK55
& nil != sK53
& ( nil = sK55
| nil != sK56 )
& ( ( sK55 = app(cons(sK57,nil),sK58)
& sK56 = app(sK58,cons(sK57,nil))
& ssList(sK58)
& ssItem(sK57) )
| ~ neq(sK56,nil) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58)],[f222]) ).
fof(f504,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
nil != sK53,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
nil = sK54,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
nil = sK56,
inference(definition_unfolding,[],[f508,f507]) ).
fof(f568,plain,
sK55 != sK56,
inference(definition_unfolding,[],[f505,f509,f506]) ).
fof(f569,plain,
( sK55 = sK56
| sK56 != sK56 ),
inference(definition_unfolding,[],[f504,f509,f509]) ).
fof(f576,plain,
sK55 = sK56,
inference(trivial_inequality_removal,[],[f569]) ).
fof(f601,plain,
$false,
inference(forward_subsumption_resolution,[],[f568,f576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC040+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n011.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 07:34:36 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 % (3230765)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (3230775)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=607467772:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (3230771)% WARNING: option uhcvi not known.
% 0.19/0.48 % (3230775) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3230765-3230775"...
% 0.19/0.48 % (3230775)...printing done.
% 0.19/0.48 % (3230775)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (3230775)------------------------------
% 0.19/0.48 % (3230775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (3230775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (3230775)CaDiCaL version: 2.1.3
% 0.19/0.48 % (3230775)Termination reason: Refutation
% 0.19/0.48 % (3230775)Time elapsed: 0.003 s
% 0.19/0.48 % (3230775)Peak memory usage: 11 MB
% 0.19/0.48 % (3230775)Instructions burned: 8 (million)
% 0.19/0.48 % (3230765)Success in time 0.033 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------