%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET926+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 : n007.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 12:45:01 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 26 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 8 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( set_difference(singleton(X0),X1) = singleton(X0)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(f4,axiom,
! [X0,X1] :
( set_difference(singleton(X0),X1) = empty_set
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f7,conjecture,
! [X0,X1] :
( set_difference(singleton(X0),X1) = empty_set
| set_difference(singleton(X0),X1) = singleton(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( set_difference(singleton(X0),X1) = empty_set
| set_difference(singleton(X0),X1) = singleton(X0) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
? [X0,X1] :
( empty_set != set_difference(singleton(X0),X1)
& singleton(X0) != set_difference(singleton(X0),X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f19,plain,
singleton(sK2) != set_difference(singleton(sK2),sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
empty_set != set_difference(singleton(sK2),sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f25,plain,
! [X0,X1] :
( in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f27,plain,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(resolution,[],[f23,f25]) ).
fof(f36,plain,
( singleton(sK2) != singleton(sK2)
| empty_set = set_difference(singleton(sK2),sK3) ),
inference(superposition,[],[f19,f27]) ).
fof(f42,plain,
empty_set = set_difference(singleton(sK2),sK3),
inference(trivial_inequality_removal,[],[f36]) ).
fof(f45,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET926+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 03:08:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.18/0.47 % (1991228)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1991233)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=473300843_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % TRYING [5]
% 0.18/0.47 % (1991234)% WARNING: option uhcvi not known.
% 0.18/0.47 % TRYING [6]
% 0.18/0.47 % TRYING [7]
% 0.18/0.47 % TRYING [8]
% 0.18/0.47 % TRYING [9]
% 0.18/0.47 % (1991234)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1463490830:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (1991235)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3396060498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (1991237)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2247446380:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (1991236)dis+10_1_sil=32000:sp=arity:random_seed=1342882746:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % TRYING [10]
% 0.18/0.47 % (1991236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1991228-1991236"...
% 0.18/0.47 % (1991234) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1991228-1991234"...
% 0.18/0.47 % (1991237) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1991228-1991237"...
% 0.18/0.47 % (1991235) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1991228-1991235"...
% 0.18/0.47 % (1991236)...printing done.
% 0.18/0.47 % (1991234)...printing done.
% 0.18/0.47 % (1991237)...printing done.
% 0.18/0.47 % TRYING [11]
% 0.18/0.47 % (1991234)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 % (1991234)------------------------------
% 0.18/0.47 % (1991234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1991234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1991234)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1991234)Termination reason: Refutation
% 0.18/0.47 % (1991234)Time elapsed: 0.002 s
% 0.18/0.47 % (1991234)Peak memory usage: 11 MB
% 0.18/0.47 % (1991234)Instructions burned: 1 (million)
% 0.18/0.47 % (1991228)Success in time 0.038 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------