%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET818-2 : 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 : n010.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 12:44:41 PM UTC 2026
% Result : Unsatisfiable 0.12s 15.49s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of formulae : 3 ( 3 unt; 0 def)
% Number of atoms : 3 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f2,negated_conjecture,
! [X0] : c_in(v_x(X0),X0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,plain,
$false,
inference(resolution,[],[f1,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET818-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/15.42 % Computer : n010.cluster.edu
% 0.12/15.42 % Model : x86_64 x86_64
% 0.12/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.42 % Memory : 8046.5625MB
% 0.12/15.42 % OS : Linux 6.8.0-71-generic
% 0.12/15.42 % CPULimit : 300
% 0.12/15.42 % WCLimit : 300
% 0.12/15.42 % DateTime : Mon Sep 28 02:55:28 UTC 2026
% 0.12/15.42 % CPUTime :
% 0.12/15.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/15.45 Running first-order model finding
% 0.12/15.45 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
% 0.12/15.49 % (1514650)Will run a generic schedule for satisfiability detection.
% 0.12/15.49 % (1514656)% WARNING: option uhcvi not known.
% 0.12/15.49 % (1514658)dis+10_1_sil=32000:sp=arity:random_seed=2847962371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/15.49 % (1514656)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2310929906:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/15.49 % (1514655)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3727377470_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/15.49 % (1514657)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2611752543:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/15.49 % (1514659)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=552289146:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/15.49 % (1514660)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1862194561:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/15.49 % (1514658) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514658"...
% 0.12/15.49 % (1514661)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3360750493:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/15.49 % (1514656) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514656"...
% 0.12/15.49 % TRYING [1]
% 0.12/15.49 % TRYING [2]
% 0.12/15.49 % (1514655) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514655"...
% 0.12/15.49 % (1514657) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514657"...
% 0.12/15.49 % (1514659) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514659"...
% 0.12/15.49 % (1514660) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514660"...
% 0.12/15.49 % (1514661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1514650-1514661"...
% 0.12/15.49 % (1514658)...printing done.
% 0.12/15.49 % (1514656)...printing done.
% 0.12/15.49 % (1514655)...printing done.
% 0.12/15.49 % (1514659)...printing done.
% 0.12/15.49 % (1514657)...printing done.
% 0.12/15.49 % (1514660)...printing done.
% 0.12/15.49 % (1514658)Refutation found. Thanks to Tanya!
% 0.12/15.49 % SZS status Unsatisfiable for theBenchmark
% 0.12/15.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/15.49 % (1514658)------------------------------
% 0.12/15.49 % (1514658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/15.49 % (1514658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/15.49 % (1514658)CaDiCaL version: 2.1.3
% 0.12/15.49 % (1514658)Termination reason: Refutation
% 0.12/15.49 % (1514658)Time elapsed: 0.001 s
% 0.12/15.49 % (1514658)Peak memory usage: 11 MB
% 0.12/15.49 % (1514650)Success in time 0.03 s
% 0.12/15.49 % Vampire exiting
%------------------------------------------------------------------------------