%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC405+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 : n004.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 01:05:54 PM UTC 2026
% Result : Theorem 0.08s 0.30s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 84 ( 12 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 97 ( 29 ~; 22 |; 36 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 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 : 26 ( 14 !; 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(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
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
| ? [X4] :
( ssItem(X4)
& ( ( ~ memberP(X3,X4)
& memberP(X2,X4) )
| ( ~ memberP(X2,X4)
& memberP(X3,X4) ) ) )
| ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X0,X5)
| memberP(X1,X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ( ( memberP(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,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(X3,X4)
| ~ memberP(X2,X4) )
& ( memberP(X2,X4)
| ~ memberP(X3,X4) ) ) )
& ? [X5] :
( memberP(X0,X5)
& ~ memberP(X1,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(sK56,X4)
| ~ memberP(sK55,X4) )
& ( memberP(sK55,X4)
| ~ memberP(sK56,X4) ) ) )
& memberP(sK53,sK57)
& ~ memberP(sK54,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(sK54,sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
memberP(sK53,sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ memberP(sK55,X4)
| memberP(sK56,X4)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
memberP(sK55,sK57),
inference(definition_unfolding,[],[f502,f505]) ).
fof(f508,plain,
~ memberP(sK56,sK57),
inference(definition_unfolding,[],[f501,f506]) ).
fof(f580,plain,
( memberP(sK56,sK57)
| ~ ssItem(sK57) ),
inference(resolution,[],[f504,f507]) ).
fof(f581,plain,
~ ssItem(sK57),
inference(forward_subsumption_resolution,[],[f580,f508]) ).
fof(f582,plain,
$false,
inference(forward_subsumption_resolution,[],[f581,f500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC405+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n004.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 09:30:52 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26 Running first-order model finding
% 0.08/0.26 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
% 0.08/0.30 % (230651)Will run a generic schedule for satisfiability detection.
% 0.08/0.30 % (230660)dis+10_1_sil=32000:sp=arity:random_seed=2989752635:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.30 % (230657)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2466142522_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.30 % (230660) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-230651-230660"...
% 0.08/0.30 % (230660)...printing done.
% 0.08/0.30 % (230660)Refutation found. Thanks to Tanya!
% 0.08/0.30 % SZS status Theorem for theBenchmark
% 0.08/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.30 % (230660)------------------------------
% 0.08/0.30 % (230660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.30 % (230660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.30 % (230660)CaDiCaL version: 2.1.3
% 0.08/0.30 % (230660)Termination reason: Refutation
% 0.08/0.30 % (230660)Time elapsed: 0.005 s
% 0.08/0.30 % (230660)Peak memory usage: 12 MB
% 0.08/0.30 % (230660)Instructions burned: 9 (million)
% 0.08/0.30 % (230651)Success in time 0.028 s
% 0.08/0.30 % Vampire exiting
%------------------------------------------------------------------------------