%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC255+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 01:05:17 PM UTC 2026
% Result : Theorem 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 2 def)
% Number of atoms : 75 ( 10 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 81 ( 30 ~; 21 |; 20 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ~ singletonP(X2)
| singletonP(X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ~ singletonP(X2)
| singletonP(X0) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& singletonP(X2)
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& singletonP(X2)
& ~ singletonP(X0) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f413,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
( ~ neq(sK50,nil)
| ~ singletonP(sK47) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
( ~ neq(sK50,nil)
| singletonP(sK49) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
( ~ neq(sK50,nil)
| ~ singletonP(sK49) ),
inference(definition_unfolding,[],[f414,f418]) ).
fof(f427,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f413,f419]) ).
fof(f644,plain,
( ~ neq(sK50,nil)
| ~ singletonP(sK49) ),
inference(consistent_polarity_flipping,[],[f415]) ).
fof(f645,plain,
( ~ neq(sK50,nil)
| singletonP(sK49) ),
inference(consistent_polarity_flipping,[],[f426]) ).
fof(f656,definition,
( spl51_1
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f660,definition,
( spl51_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f665,plain,
spl51_2,
inference(avatar_split_clause,[],[f427,f660]) ).
fof(f666,plain,
( spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f645,f660,f656]) ).
fof(f667,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f644,f660,f656]) ).
cnf(s3,plain,
spl51_2,
inference(sat_conversion,[],[f665]) ).
cnf(s4,plain,
( spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f666]) ).
cnf(s5,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f667]) ).
cnf(s19,plain,
~ spl51_1,
inference(rat,[],[s5,s3]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s4,s3,s19]) ).
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC255+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 08:44:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 % (1636946)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (1636952)% WARNING: option uhcvi not known.
% 0.07/0.24 % (1636952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3204330854:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.24 % (1636952) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1636946-1636952"...
% 0.07/0.24 % (1636952)...printing done.
% 0.07/0.24 % (1636952)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Theorem for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (1636952)------------------------------
% 0.07/0.25 % (1636952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (1636952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (1636952)CaDiCaL version: 2.1.3
% 0.07/0.25 % (1636952)Termination reason: Refutation
% 0.07/0.25 % (1636952)Time elapsed: 0.003 s
% 0.07/0.25 % (1636952)Peak memory usage: 12 MB
% 0.07/0.25 % (1636952)Instructions burned: 9 (million)
% 0.07/0.25 % (1636946)Success in time 0.028 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------