%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM594+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:24:57 PM UTC 2026
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 13 unt; 1 def)
% Number of atoms : 124 ( 25 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 119 ( 44 ~; 51 |; 14 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSImg) ).
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f94,axiom,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(f95,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f112,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f228,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f229,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f228]) ).
fof(f230,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xd,X0) != xx ),
inference(ennf_transformation,[],[f96]) ).
fof(f243,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f271,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK15(X0,X1,X3)) = X3
| ~ aElementOf0(X3,X2)
| sdtlcdtrc0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK15(X0,X1,X3),X1)
| ~ aElementOf0(X3,X2)
| sdtlcdtrc0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f200]) ).
fof(f411,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f229]) ).
fof(f412,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f229]) ).
fof(f414,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))),
inference(cnf_transformation,[],[f94]) ).
fof(f415,plain,
! [X0] :
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f454,plain,
! [X3,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK15(X0,X1,X3),X1)
| ~ aElementOf0(X3,sdtlcdtrc0(X0,X1)) ),
inference(equality_resolution,[],[f350]) ).
fof(f455,plain,
! [X3,X0,X1] :
( ~ aFunction0(X0)
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK15(X0,X1,X3)) = X3
| ~ aElementOf0(X3,sdtlcdtrc0(X0,X1)) ),
inference(equality_resolution,[],[f349]) ).
fof(f468,plain,
! [X0] :
( ~ aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f527,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtlcdtrc0(X0,X1))
| aSubsetOf0(X1,szDzozmdt0(X0))
| aElementOf0(sK15(X0,X1,X3),X1)
| aFunction0(X0) ),
inference(consistent_polarity_flipping,[],[f454]) ).
fof(f528,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtlcdtrc0(X0,X1))
| aSubsetOf0(X1,szDzozmdt0(X0))
| sdtlpdtrp0(X0,sK15(X0,X1,X3)) = X3
| aFunction0(X0) ),
inference(consistent_polarity_flipping,[],[f455]) ).
fof(f562,plain,
~ aFunction0(xd),
inference(consistent_polarity_flipping,[],[f412]) ).
fof(f587,plain,
aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)),
inference(forward_demodulation,[],[f414,f411]) ).
fof(f741,definition,
( spl24_14
<=> aSubsetOf0(szNzAzT0,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f742,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| spl24_14 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f743,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f842,plain,
( ~ aSet0(szNzAzT0)
| ~ spl24_14 ),
inference(resolution,[],[f743,f468]) ).
fof(f843,plain,
( $false
| ~ spl24_14 ),
inference(forward_subsumption_resolution,[],[f842,f271]) ).
fof(f844,plain,
~ spl24_14,
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f1474,plain,
( aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0)
| aFunction0(xd) ),
inference(resolution,[],[f527,f587]) ).
fof(f1482,plain,
( aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1474,f562]) ).
fof(f1483,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0) ),
inference(forward_demodulation,[],[f1482,f411]) ).
fof(f1484,plain,
( aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0)
| spl24_14 ),
inference(forward_subsumption_resolution,[],[f1483,f742]) ).
fof(f1727,plain,
( aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| xx = sdtlpdtrp0(xd,sK15(xd,szNzAzT0,xx))
| aFunction0(xd) ),
inference(resolution,[],[f528,f587]) ).
fof(f1738,plain,
( aSubsetOf0(szNzAzT0,szDzozmdt0(xd))
| xx = sdtlpdtrp0(xd,sK15(xd,szNzAzT0,xx)) ),
inference(forward_subsumption_resolution,[],[f1727,f562]) ).
fof(f1740,plain,
( aSubsetOf0(szNzAzT0,szNzAzT0)
| xx = sdtlpdtrp0(xd,sK15(xd,szNzAzT0,xx)) ),
inference(forward_demodulation,[],[f1738,f411]) ).
fof(f1742,plain,
( xx = sdtlpdtrp0(xd,sK15(xd,szNzAzT0,xx))
| spl24_14 ),
inference(forward_subsumption_resolution,[],[f1740,f742]) ).
fof(f2783,plain,
( xx != xx
| ~ aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0)
| spl24_14 ),
inference(superposition,[],[f415,f1742]) ).
fof(f2789,plain,
( ~ aElementOf0(sK15(xd,szNzAzT0,xx),szNzAzT0)
| spl24_14 ),
inference(trivial_inequality_removal,[],[f2783]) ).
fof(f2794,plain,
( $false
| spl24_14 ),
inference(forward_subsumption_resolution,[],[f2789,f1484]) ).
fof(f2795,plain,
spl24_14,
inference(avatar_contradiction_clause,[],[f2794]) ).
cnf(s18,plain,
~ spl24_14,
inference(sat_conversion,[],[f844]) ).
cnf(s95,plain,
spl24_14,
inference(sat_conversion,[],[f2795]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s18,s95]) ).
fof(f2801,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM594+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:39:46 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 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
% 0.16/0.50 % (1142031)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (1142037)% WARNING: option uhcvi not known.
% 0.16/0.50 % (1142037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2984295241:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (1142036)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2293997281_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (1142038)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2152702776:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (1142039)dis+10_1_sil=32000:sp=arity:random_seed=72937813:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (1142040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2771519535:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (1142041)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1598966189:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (1142042)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3514630481:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % (1142037) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1142031-1142037"...
% 0.16/0.50 % (1142037)...printing done.
% 0.16/0.50 % (1142037)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (1142037)------------------------------
% 0.16/0.50 % (1142037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (1142037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (1142037)CaDiCaL version: 2.1.3
% 0.16/0.50 % (1142037)Termination reason: Refutation
% 0.16/0.50 % (1142037)Time elapsed: 0.042 s
% 0.16/0.50 % (1142037)Peak memory usage: 14 MB
% 0.16/0.50 % (1142037)Instructions burned: 106 (million)
% 0.16/0.50 % (1142031)Success in time 0.076 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------