%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM623+3 : TPTP v9.3.1. Released v4.0.0.
% 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 12:25:03 PM UTC 2026
% Result : Theorem 0.36s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 24 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f101,axiom,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
( aElementOf0(xp,xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f113,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f114,axiom,
( aElementOf0(xx,szNzAzT0)
& ? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X0) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(f116,axiom,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
fof(f119,axiom,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
fof(f120,conjecture,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f121,negated_conjecture,
xp != xx,
inference(negated_conjecture,[status(cth)],[f120]) ).
fof(f144,plain,
xp != xx,
inference(flattening,[],[f121]) ).
fof(f186,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f187,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f186]) ).
fof(f276,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f278,plain,
( aElementOf0(xp,xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& xp = szmzizndt0(xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f282,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(ennf_transformation,[],[f116]) ).
fof(f469,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(sK73,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& xx = sdtlpdtrp0(xe,sK73) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X0,sK73)],[f114]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f872,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f879,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| sdtlseqdt0(xp,X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f880,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f278]) ).
fof(f905,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f113]) ).
fof(f909,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f469]) ).
fof(f912,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f919,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f920,plain,
xp != xx,
inference(cnf_transformation,[],[f144]) ).
fof(f1036,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[],[f872,f880]) ).
fof(f1048,plain,
sdtlseqdt0(xp,xx),
inference(resolution,[],[f879,f905]) ).
fof(f1285,plain,
sdtlseqdt0(xx,xp),
inference(resolution,[],[f912,f919]) ).
fof(f4383,plain,
( ~ sdtlseqdt0(xp,xx)
| xp = xx
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(resolution,[],[f531,f1285]) ).
fof(f4405,plain,
( xp = xx
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f4383,f1048]) ).
fof(f4420,plain,
( ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f4405,f920]) ).
fof(f4440,plain,
~ aElementOf0(xx,szNzAzT0),
inference(forward_subsumption_resolution,[],[f4420,f1036]) ).
fof(f4449,plain,
$false,
inference(forward_subsumption_resolution,[],[f4440,f909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM623+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n016.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 : Sun Sep 27 20:53:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.36/0.52 % (2978372)Will run a generic schedule for satisfiability detection.
% 0.36/0.52 % (2978379)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3737495921:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.52 % (2978377)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1571516841_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.52 % (2978382)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=181553777:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.52 % (2978380)dis+10_1_sil=32000:sp=arity:random_seed=1931980863:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.52 % (2978383)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=677116056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.52 % (2978381)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=343262934:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.52 % (2978378)% WARNING: option uhcvi not known.
% 0.36/0.52 % (2978378)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=710825873:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.52 % TRYING [1]
% 0.36/0.52 % TRYING [2]
% 0.36/0.52 % (2978380) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2978372-2978380"...
% 0.36/0.52 % (2978381)Instruction limit reached!
% 0.36/0.52 % (2978381)------------------------------
% 0.36/0.52 % (2978381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2978381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2978380)...printing done.
% 0.36/0.52 % (2978381)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2978381)Termination reason: Instruction limit
% 0.36/0.52 % (2978381)Termination phase: Saturation
% 0.36/0.52 % (2978381)Time elapsed: 0.068 s
% 0.36/0.52 % (2978381)Peak memory usage: 13 MB
% 0.36/0.52 % (2978381)Instructions burned: 117 (million)
% 0.36/0.52 % (2978380)Refutation found. Thanks to Tanya!
% 0.36/0.52 % SZS status Theorem for theBenchmark
% 0.36/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.52 % (2978380)------------------------------
% 0.36/0.52 % (2978380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2978380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2978380)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2978380)Termination reason: Refutation
% 0.36/0.52 % (2978380)Time elapsed: 0.067 s
% 0.36/0.52 % (2978380)Peak memory usage: 13 MB
% 0.36/0.52 % (2978380)Instructions burned: 101 (million)
% 0.36/0.52 % (2978372)Success in time 0.112 s
% 0.36/0.52 % Vampire exiting
%------------------------------------------------------------------------------