%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC411+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 : n013.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 01:05:56 PM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 14 unt; 2 def)
% Number of atoms : 98 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 100 ( 32 ~; 25 |; 31 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 27 ( 0 sgn 15 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ~ memberP(X2,X4)
& memberP(X3,X4) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X1,X5)
| memberP(X0,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ~ memberP(X2,X4)
& memberP(X3,X4) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X1,X5)
| memberP(X0,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| memberP(X2,X4)
| ~ memberP(X3,X4) )
& ? [X5] :
( memberP(X1,X5)
& ~ memberP(X0,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| memberP(X2,X4)
| ~ memberP(X3,X4) )
& ? [X5] :
( memberP(X1,X5)
& ~ memberP(X0,X5)
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ! [X4] :
( ~ ssItem(X4)
| memberP(sK55,X4)
| ~ memberP(sK56,X4) )
& memberP(sK54,sK57)
& ~ memberP(sK53,sK57)
& ssItem(sK57)
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X5,sK57)],[f222]) ).
fof(f500,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
~ memberP(sK53,sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
memberP(sK54,sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
! [X4] :
( ~ ssItem(X4)
| memberP(sK55,X4)
| ~ memberP(sK56,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
memberP(sK56,sK57),
inference(definition_unfolding,[],[f502,f505]) ).
fof(f507,plain,
~ memberP(sK55,sK57),
inference(definition_unfolding,[],[f501,f504]) ).
fof(f727,plain,
! [X4] :
( memberP(sK55,X4)
| ssItem(X4)
| ~ memberP(sK56,X4) ),
inference(consistent_polarity_flipping,[],[f503]) ).
fof(f728,plain,
~ ssItem(sK57),
inference(consistent_polarity_flipping,[],[f500]) ).
fof(f770,plain,
( ssItem(sK57)
| ~ memberP(sK56,sK57) ),
inference(resolution,[],[f727,f507]) ).
fof(f772,definition,
( spl58_7
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f774,plain,
( ~ memberP(sK56,sK57)
| spl58_7 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f776,definition,
( spl58_8
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f778,plain,
( ssItem(sK57)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f779,plain,
( ~ spl58_7
| spl58_8 ),
inference(avatar_split_clause,[],[f770,f776,f772]) ).
fof(f780,plain,
( $false
| spl58_7 ),
inference(resolution,[],[f774,f506]) ).
fof(f781,plain,
spl58_7,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f782,plain,
( $false
| ~ spl58_8 ),
inference(resolution,[],[f778,f728]) ).
fof(f783,plain,
~ spl58_8,
inference(avatar_contradiction_clause,[],[f782]) ).
cnf(s9,plain,
( ~ spl58_7
| spl58_8 ),
inference(sat_conversion,[],[f779]) ).
cnf(s10,plain,
spl58_7,
inference(sat_conversion,[],[f781]) ).
cnf(s11,plain,
~ spl58_8,
inference(sat_conversion,[],[f783]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s11,s10]) ).
fof(f784,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC411+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:31:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.27 % (1047692)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1047703)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1354561609:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (1047698)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1047703) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1047692-1047703"...
% 0.20/0.27 % (1047703)...printing done.
% 0.20/0.27 % (1047703)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (1047703)------------------------------
% 0.20/0.27 % (1047703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1047703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1047703)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1047703)Termination reason: Refutation
% 0.20/0.27 % (1047703)Time elapsed: 0.005 s
% 0.20/0.27 % (1047703)Peak memory usage: 13 MB
% 0.20/0.27 % (1047703)Instructions burned: 14 (million)
% 0.20/0.27 % (1047692)Success in time 0.032 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------