%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM571+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 : n017.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 12:24:51 PM UTC 2026
% Result : Theorem 0.16s 10.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 9 unt; 3 def)
% Number of atoms : 111 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 106 ( 40 ~; 38 |; 22 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(f84,axiom,
( xi != sz00
=> ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702_02) ).
fof(f85,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f199,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f200,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f199]) ).
fof(f203,plain,
( ( ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) )
| sz00 = xi ),
inference(ennf_transformation,[],[f84]) ).
fof(f204,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f345,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f346,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f360,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f200]) ).
fof(f368,plain,
( sz00 = xi
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f369,plain,
( sz00 = xi
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f370,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f475,plain,
~ isCountable0(xS),
inference(consistent_polarity_flipping,[],[f345]) ).
fof(f485,plain,
( sz00 = xi
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(consistent_polarity_flipping,[],[f368]) ).
fof(f486,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f370]) ).
fof(f490,definition,
( spl22_1
<=> aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f492,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| spl22_1 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f494,definition,
( spl22_2
<=> isCountable0(sdtlpdtrp0(xN,xi)) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f496,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f497,plain,
( ~ spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f486,f494,f490]) ).
fof(f503,definition,
( spl22_4
<=> sz00 = xi ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f505,plain,
( sz00 = xi
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f512,plain,
( ~ spl22_2
| spl22_4 ),
inference(avatar_split_clause,[],[f485,f503,f494]) ).
fof(f513,plain,
( spl22_1
| spl22_4 ),
inference(avatar_split_clause,[],[f369,f503,f490]) ).
fof(f530,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)
| spl22_1
| ~ spl22_4 ),
inference(superposition,[],[f492,f505]) ).
fof(f531,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| spl22_1
| ~ spl22_4 ),
inference(superposition,[],[f530,f360]) ).
fof(f532,plain,
( $false
| spl22_1
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f531,f346]) ).
fof(f533,plain,
( spl22_1
| ~ spl22_4 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f535,plain,
( isCountable0(sdtlpdtrp0(xN,sz00))
| ~ spl22_2
| ~ spl22_4 ),
inference(forward_demodulation,[],[f496,f505]) ).
fof(f537,plain,
( isCountable0(xS)
| ~ spl22_2
| ~ spl22_4 ),
inference(forward_demodulation,[],[f535,f360]) ).
fof(f538,plain,
( $false
| ~ spl22_2
| ~ spl22_4 ),
inference(forward_subsumption_resolution,[],[f537,f475]) ).
fof(f539,plain,
( ~ spl22_2
| ~ spl22_4 ),
inference(avatar_contradiction_clause,[],[f538]) ).
cnf(s1,plain,
( ~ spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f497]) ).
cnf(s4,plain,
( ~ spl22_2
| spl22_4 ),
inference(sat_conversion,[],[f512]) ).
cnf(s5,plain,
( spl22_1
| spl22_4 ),
inference(sat_conversion,[],[f513]) ).
cnf(s9,plain,
( spl22_1
| ~ spl22_4 ),
inference(sat_conversion,[],[f533]) ).
cnf(s10,plain,
( ~ spl22_2
| ~ spl22_4 ),
inference(sat_conversion,[],[f539]) ).
cnf(s13,plain,
spl22_1,
inference(rat,[],[s5,s9]) ).
cnf(s14,plain,
spl22_2,
inference(rat,[],[s1,s13]) ).
cnf(s15,plain,
~ spl22_4,
inference(rat,[],[s10,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s4,s15,s14]) ).
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/10.39 % Computer : n017.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Sun Sep 27 20:28:33 UTC 2026
% 0.16/10.40 % CPUTime :
% 0.16/10.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/10.43 Running first-order model finding
% 0.16/10.43 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
% 0.16/10.48 % (2917952)Will run a generic schedule for satisfiability detection.
% 0.16/10.48 % (2917957)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2629118745_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/10.48 % (2917958)% WARNING: option uhcvi not known.
% 0.16/10.48 % (2917958)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4241187553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/10.48 % (2917959)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4141621900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/10.48 % (2917960)dis+10_1_sil=32000:sp=arity:random_seed=3371913916:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/10.48 % (2917961)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2943343191:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/10.48 % (2917962)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=312008013:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/10.48 % (2917963)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2365333472:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/10.48 % TRYING [1]
% 0.16/10.48 % TRYING [2]
% 0.16/10.48 % (2917958) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2917952-2917958"...
% 0.16/10.48 % TRYING [3]
% 0.16/10.48 % (2917960) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2917952-2917960"...
% 0.16/10.48 % (2917958)...printing done.
% 0.16/10.48 % (2917960)...printing done.
% 0.16/10.48 % (2917962) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2917952-2917962"...
% 0.16/10.48 % (2917959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2917952-2917959"...
% 0.16/10.48 % (2917958)Refutation found. Thanks to Tanya!
% 0.16/10.48 % SZS status Theorem for theBenchmark
% 0.16/10.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/10.48 % (2917958)------------------------------
% 0.16/10.48 % (2917958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/10.48 % (2917958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/10.48 % (2917958)CaDiCaL version: 2.1.3
% 0.16/10.48 % (2917958)Termination reason: Refutation
% 0.16/10.48 % (2917958)Time elapsed: 0.007 s
% 0.16/10.48 % (2917958)Peak memory usage: 12 MB
% 0.16/10.48 % (2917958)Instructions burned: 9 (million)
% 0.16/10.48 % (2917952)Success in time 0.043 s
% 0.16/10.48 % Vampire exiting
%------------------------------------------------------------------------------