%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU124+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:51:59 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 27 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 7 |; 0 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f17,conjecture,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f28,plain,
? [X0,X1] : ~ subset(X0,set_union2(X0,X1)),
inference(ennf_transformation,[],[f18]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
~ subset(sK4,set_union2(sK4,sK5)),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X0,X1))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f37]) ).
fof(f86,plain,
in(sK1(sK4,set_union2(sK4,sK5)),sK4),
inference(resolution,[],[f39,f51]) ).
fof(f89,plain,
~ in(sK1(sK4,set_union2(sK4,sK5)),set_union2(sK4,sK5)),
inference(resolution,[],[f40,f51]) ).
fof(f97,plain,
~ in(sK1(sK4,set_union2(sK4,sK5)),sK4),
inference(resolution,[],[f89,f53]) ).
fof(f98,plain,
$false,
inference(forward_subsumption_resolution,[],[f97,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU124+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:37:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.44 % (778683)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (778688)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3952791373_3000 on theBenchmark for (3000ds/0Mi)
% 0.10/0.44 % TRYING [1]
% 0.10/0.44 % TRYING [2]
% 0.10/0.44 % TRYING [3]
% 0.10/0.44 % TRYING [4]
% 0.10/0.44 % TRYING [5]
% 0.10/0.44 % (778689)% WARNING: option uhcvi not known.
% 0.10/0.44 % (778690)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2706893923:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.44 % (778691)dis+10_1_sil=32000:sp=arity:random_seed=2436074531:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.10/0.44 % (778692)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1965349016:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.10/0.44 % (778694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1655306637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.10/0.44 % (778693)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2952898473:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.10/0.44 % (778689)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=355407819:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.44 % (778692) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-778683-778692"...
% 0.10/0.44 % (778693) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-778683-778693"...
% 0.10/0.44 % (778694) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-778683-778694"...
% 0.10/0.44 % (778692)...printing done.
% 0.10/0.44 % (778691) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-778683-778691"...
% 0.10/0.44 % (778693)...printing done.
% 0.10/0.44 % (778694)...printing done.
% 0.10/0.44 % (778692)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (778692)------------------------------
% 0.10/0.44 % (778692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (778692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (778692)CaDiCaL version: 2.1.3
% 0.10/0.44 % (778692)Termination reason: Refutation
% 0.10/0.44 % (778692)Time elapsed: 0.003 s
% 0.10/0.44 % (778692)Peak memory usage: 12 MB
% 0.10/0.44 % (778692)Instructions burned: 3 (million)
% 0.10/0.44 % (778683)Success in time 0.028 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------