%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET942+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:45:03 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 61 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 26 ~; 26 |; 2 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 46 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f7,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> subset(union(X0),union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t95_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> subset(union(X0),union(X1)) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
? [X0,X1] :
( ~ subset(union(X0),union(X1))
& subset(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f15,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f16,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X2,X0,X1] :
( in(sK2(X0,X2),X0)
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X2,X0,X1] :
( in(X2,sK2(X0,X2))
| ~ in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| ~ in(X2,X3)
| in(X2,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
subset(sK6,sK7),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
~ subset(union(sK6),union(sK7)),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X2,X3,X0] :
( ~ in(X2,X3)
| ~ in(X3,X0)
| in(X2,union(X0)) ),
inference(equality_resolution,[],[f22]) ).
fof(f29,plain,
! [X2,X0] :
( in(X2,sK2(X0,X2))
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f21]) ).
fof(f30,plain,
! [X2,X0] :
( in(sK2(X0,X2),X0)
| ~ in(X2,union(X0)) ),
inference(equality_resolution,[],[f20]) ).
fof(f36,plain,
! [X0] :
( in(X0,sK7)
| ~ in(X0,sK6) ),
inference(resolution,[],[f14,f26]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ in(sK2(X0,X1),X2)
| in(X1,union(X2))
| ~ in(X1,union(X0)) ),
inference(resolution,[],[f28,f29]) ).
fof(f71,plain,
! [X0,X1] :
( ~ in(sK2(X1,X0),sK6)
| ~ in(X0,union(X1))
| in(X0,union(sK7)) ),
inference(resolution,[],[f41,f36]) ).
fof(f87,plain,
! [X0] :
( ~ in(X0,union(sK6))
| in(X0,union(sK7))
| ~ in(X0,union(sK6)) ),
inference(resolution,[],[f71,f30]) ).
fof(f88,plain,
! [X0] :
( ~ in(X0,union(sK6))
| in(X0,union(sK7)) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f99,plain,
! [X0] :
( in(sK0(union(sK6),X0),union(sK7))
| subset(union(sK6),X0) ),
inference(resolution,[],[f88,f15]) ).
fof(f117,plain,
( subset(union(sK6),union(sK7))
| subset(union(sK6),union(sK7)) ),
inference(resolution,[],[f99,f16]) ).
fof(f122,plain,
subset(union(sK6),union(sK7)),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f123,plain,
$false,
inference(forward_subsumption_resolution,[],[f122,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET942+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n019.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 03:15:49 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.47 % (3627102)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3627112)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3627112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1526583892:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3627112) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3627102-3627112"...
% 0.18/0.47 % (3627112)...printing done.
% 0.18/0.47 % (3627112)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3627112)------------------------------
% 0.18/0.47 % (3627112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3627112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3627112)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3627112)Termination reason: Refutation
% 0.18/0.47 % (3627112)Time elapsed: 0.003 s
% 0.18/0.47 % (3627112)Peak memory usage: 11 MB
% 0.18/0.47 % (3627112)Instructions burned: 6 (million)
% 0.18/0.47 % (3627102)Success in time 0.027 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------