%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET604+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:44:06 PM UTC 2026
% Result : Theorem 0.16s 0.68s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_subset) ).
fof(f2,axiom,
! [X0,X1] :
( difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f9,conjecture,
! [X0] : difference(empty_set,X0) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_no_difference_with_empty_set) ).
fof(f10,negated_conjecture,
~ ! [X0] : difference(empty_set,X0) = empty_set,
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
? [X0] : empty_set != difference(empty_set,X0),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1] :
( ( difference(X0,X1) = empty_set
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != difference(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f21,plain,
empty_set != difference(empty_set,sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f12]) ).
fof(f22,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = difference(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
empty_set != difference(empty_set,sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X0] : empty_set = difference(empty_set,X0),
inference(resolution,[],[f24,f22]) ).
fof(f41,plain,
empty_set != empty_set,
inference(superposition,[],[f36,f39]) ).
fof(f44,plain,
$false,
inference(trivial_inequality_removal,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET604+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.58 % Computer : n020.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.59 % CPULimit : 300
% 0.11/0.59 % WCLimit : 300
% 0.11/0.59 % DateTime : Mon Sep 28 02:18:52 UTC 2026
% 0.11/0.59 % CPUTime :
% 0.11/0.59 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.62 Running first-order model finding
% 0.11/0.62 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
% 0.16/0.68 % (3972765)Will run a generic schedule for satisfiability detection.
% 0.16/0.68 % (3972770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2288465663_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.68 % TRYING [1]
% 0.16/0.68 % TRYING [2]
% 0.16/0.68 % TRYING [3]
% 0.16/0.68 % TRYING [4]
% 0.16/0.68 % TRYING [5]
% 0.16/0.68 % (3972771)% WARNING: option uhcvi not known.
% 0.16/0.68 % TRYING [6]
% 0.16/0.68 % (3972773)dis+10_1_sil=32000:sp=arity:random_seed=146298557:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.68 % (3972771)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3781086620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.68 % (3972776)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1944277757:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.68 % (3972772)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1825676722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.68 % (3972774)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1343558639:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.68 % (3972775)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1474719258:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.68 % (3972773) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972773"...
% 0.16/0.68 % (3972771) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972771"...
% 0.16/0.68 % (3972776) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972776"...
% 0.16/0.68 % (3972774) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972774"...
% 0.16/0.68 % (3972775) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972775"...
% 0.16/0.68 % (3972772) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3972765-3972772"...
% 0.16/0.68 % (3972773)...printing done.
% 0.16/0.68 % (3972771)...printing done.
% 0.16/0.68 % (3972776)...printing done.
% 0.16/0.68 % (3972774)...printing done.
% 0.16/0.68 % (3972775)...printing done.
% 0.16/0.68 % (3972772)...printing done.
% 0.16/0.68 % (3972773)Refutation found. Thanks to Tanya!
% 0.16/0.68 % SZS status Theorem for theBenchmark
% 0.16/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.68 % (3972773)------------------------------
% 0.16/0.68 % (3972773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.68 % (3972773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.68 % (3972773)CaDiCaL version: 2.1.3
% 0.16/0.68 % (3972773)Termination reason: Refutation
% 0.16/0.68 % (3972773)Time elapsed: 0.002 s
% 0.16/0.68 % (3972773)Peak memory usage: 11 MB
% 0.16/0.68 % (3972773)Instructions burned: 1 (million)
% 0.16/0.68 % (3972765)Success in time 0.046 s
% 0.16/0.68 % Vampire exiting
%------------------------------------------------------------------------------