%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% 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 12:45:02 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 22 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 4 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f6,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f7,conjecture,
! [X0] : subset(singleton(X0),powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t80_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0] : subset(singleton(X0),powerset(X0)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f6]) ).
fof(f11,plain,
? [X0] : ~ subset(singleton(X0),powerset(X0)),
inference(ennf_transformation,[],[f8]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| in(X2,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
~ subset(singleton(sK3),powerset(sK3)),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
! [X2,X0] :
( ~ subset(X2,X0)
| in(X2,powerset(X0)) ),
inference(equality_resolution,[],[f13]) ).
fof(f25,plain,
~ in(sK3,powerset(sK3)),
inference(resolution,[],[f17,f22]) ).
fof(f30,plain,
! [X0] : in(X0,powerset(X0)),
inference(resolution,[],[f24,f21]) ).
fof(f33,plain,
$false,
inference(resolution,[],[f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n011.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 03:15:42 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 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
% 0.15/0.46 % (2981821)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (2981830)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3404955221:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (2981830) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2981821-2981830"...
% 0.15/0.46 % (2981830)...printing done.
% 0.15/0.46 % (2981830)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (2981830)------------------------------
% 0.15/0.46 % (2981830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (2981830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (2981830)CaDiCaL version: 2.1.3
% 0.15/0.46 % (2981830)Termination reason: Refutation
% 0.15/0.46 % (2981830)Time elapsed: 0.001 s
% 0.15/0.46 % (2981830)Peak memory usage: 11 MB
% 0.15/0.46 % (2981830)Instructions burned: 1 (million)
% 0.15/0.46 % (2981821)Success in time 0.031 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------