%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU230+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 : n026.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 12:52:30 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 27 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 7 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 24 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f7,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,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(f32,conjecture,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f33,negated_conjecture,
~ ! [X0] : in(X0,succ(X0)),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f55,plain,
? [X0] : ~ in(X0,succ(X0)),
inference(ennf_transformation,[],[f33]) ).
fof(f66,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f67,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X1)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f8]) ).
fof(f104,plain,
~ in(sK12,succ(sK12)),
inference(cnf_transformation,[],[f55]) ).
fof(f112,plain,
~ in(sK12,set_union2(sK12,singleton(sK12))),
inference(definition_unfolding,[],[f104,f66]) ).
fof(f114,plain,
! [X2,X1] :
( in(X2,X1)
| singleton(X2) != X1 ),
inference(equality_resolution,[],[f67]) ).
fof(f115,plain,
! [X2] : in(X2,singleton(X2)),
inference(equality_resolution,[],[f114]) ).
fof(f117,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X0,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f75]) ).
fof(f176,plain,
~ in(sK12,singleton(sK12)),
inference(resolution,[],[f117,f112]) ).
fof(f184,plain,
$false,
inference(forward_subsumption_resolution,[],[f176,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU230+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 : n026.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 04:14:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.17/0.46 % (3452149)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (3452154)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2027374044_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % TRYING [1]
% 0.17/0.46 % TRYING [2]
% 0.17/0.46 % TRYING [3]
% 0.17/0.46 % TRYING [4]
% 0.17/0.46 % (3452155)% WARNING: option uhcvi not known.
% 0.17/0.46 % TRYING [5]
% 0.17/0.46 % (3452155)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4073146946:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (3452156)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=882228852:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (3452159)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3511889045:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (3452157)dis+10_1_sil=32000:sp=arity:random_seed=3221208927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (3452158)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3913844434:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (3452160)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1221143294:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (3452158) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3452149-3452158"...
% 0.17/0.46 % (3452157) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3452149-3452157"...
% 0.17/0.46 % TRYING [6]
% 0.17/0.46 % (3452155) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3452149-3452155"...
% 0.17/0.46 % (3452160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3452149-3452160"...
% 0.17/0.46 % (3452158)...printing done.
% 0.17/0.46 % (3452157)...printing done.
% 0.17/0.46 % (3452155)...printing done.
% 0.17/0.46 % (3452158)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (3452158)------------------------------
% 0.17/0.46 % (3452158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (3452158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (3452158)CaDiCaL version: 2.1.3
% 0.17/0.46 % (3452158)Termination reason: Refutation
% 0.17/0.46 % (3452158)Time elapsed: 0.004 s
% 0.17/0.46 % (3452158)Peak memory usage: 12 MB
% 0.17/0.46 % (3452158)Instructions burned: 4 (million)
% 0.17/0.46 % (3452149)Success in time 0.046 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------