%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET813+4 : 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 : n016.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 12:44:40 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 5 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 19 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).
fof(f8,axiom,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(f19,axiom,
! [X0,X1] :
( member(X1,suc(X0))
<=> member(X1,union(X0,singleton(X0))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax',successor) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV12) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f33,plain,
? [X0] :
( ~ member(X0,suc(X0))
& member(X0,on) ),
inference(ennf_transformation,[],[f21]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( X0 != X1
| member(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f107,plain,
! [X0,X1] :
( ~ member(X1,union(X0,singleton(X0)))
| member(X1,suc(X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f110,plain,
~ member(sK13,suc(sK13)),
inference(cnf_transformation,[],[f33]) ).
fof(f111,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f49]) ).
fof(f216,plain,
! [X0,X1] :
( member(X0,suc(X1))
| ~ member(X0,singleton(X1)) ),
inference(resolution,[],[f107,f43]) ).
fof(f324,plain,
~ member(sK13,singleton(sK13)),
inference(resolution,[],[f216,f110]) ).
fof(f329,plain,
$false,
inference(forward_subsumption_resolution,[],[f324,f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET813+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 02:57:40 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.46 Running first-order model finding
% 0.13/0.46 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
% 0.17/0.51 % (3216844)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (3216849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=267710155_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % (3216850)% WARNING: option uhcvi not known.
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % (3216851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1181185662:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (3216852)dis+10_1_sil=32000:sp=arity:random_seed=3566170002:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (3216855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2503349061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (3216850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2602580360:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (3216853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1554143289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (3216854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3999489582:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % TRYING [5]
% 0.17/0.51 % (3216853) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3216844-3216853"...
% 0.17/0.51 % (3216853)...printing done.
% 0.17/0.51 % TRYING [6]
% 0.17/0.51 % (3216853)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (3216853)------------------------------
% 0.17/0.51 % (3216853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.51 % (3216853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.51 % (3216853)CaDiCaL version: 2.1.3
% 0.17/0.51 % (3216853)Termination reason: Refutation
% 0.17/0.51 % (3216853)Time elapsed: 0.011 s
% 0.17/0.51 % (3216853)Peak memory usage: 12 MB
% 0.17/0.51 % (3216853)Instructions burned: 16 (million)
% 0.17/0.51 % (3216844)Success in time 0.044 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------