%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM627+1 : 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 : n005.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 12:25:04 PM UTC 2026
% Result : ContradictoryAxioms 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 13 unt; 2 def)
% Number of atoms : 95 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 46 ~; 40 |; 7 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(f111,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
fof(f117,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5442) ).
fof(f118,axiom,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).
fof(f158,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f174,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f175,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f174]) ).
fof(f233,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f234,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f233]) ).
fof(f370,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f383,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f487,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f535,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f542,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f544,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f117]) ).
fof(f545,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f118]) ).
fof(f2180,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[],[f487,f545]) ).
fof(f2181,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[],[f487,f544]) ).
fof(f2191,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2181,f542]) ).
fof(f2192,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f2180,f535]) ).
fof(f2195,plain,
~ sdtlseqdt0(xm,xn),
inference(forward_subsumption_resolution,[],[f2192,f542]) ).
fof(f2365,definition,
( spl29_123
<=> aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl29_123])],[avatar_definition]) ).
fof(f2367,plain,
( ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| spl29_123 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f2369,definition,
( spl29_124
<=> sdtlseqdt0(szszuzczcdt0(xn),xm) ),
introduced(definition,[new_symbols(definition,[spl29_124])],[avatar_definition]) ).
fof(f2371,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| spl29_124 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f2372,plain,
( ~ spl29_123
| ~ spl29_124 ),
inference(avatar_split_clause,[],[f2191,f2369,f2365]) ).
fof(f2838,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| spl29_124 ),
inference(resolution,[],[f2371,f383]) ).
fof(f2839,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| spl29_124 ),
inference(forward_subsumption_resolution,[],[f2838,f2195]) ).
fof(f2840,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl29_124 ),
inference(forward_subsumption_resolution,[],[f2839,f542]) ).
fof(f2841,plain,
( $false
| spl29_124 ),
inference(forward_subsumption_resolution,[],[f2840,f535]) ).
fof(f2842,plain,
spl29_124,
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2845,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl29_123 ),
inference(resolution,[],[f2367,f370]) ).
fof(f2849,plain,
( $false
| spl29_123 ),
inference(forward_subsumption_resolution,[],[f2845,f535]) ).
fof(f2850,plain,
spl29_123,
inference(avatar_contradiction_clause,[],[f2849]) ).
cnf(s106,plain,
( ~ spl29_123
| ~ spl29_124 ),
inference(sat_conversion,[],[f2372]) ).
cnf(s128,plain,
spl29_124,
inference(sat_conversion,[],[f2842]) ).
cnf(s129,plain,
spl29_123,
inference(sat_conversion,[],[f2850]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s106,s128,s129]) ).
fof(f2860,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM627+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:50:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.52 % (148789)Will run a generic schedule for satisfiability detection.
% 0.16/0.52 % (148798)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1577845478:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.52 % (148795)% WARNING: option uhcvi not known.
% 0.16/0.52 % (148794)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=80878642_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.52 % (148795)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3374853151:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.52 % (148796)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4065197305:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.52 % (148797)dis+10_1_sil=32000:sp=arity:random_seed=1839456494:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.52 % (148800)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3911249279:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.52 % (148799)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3887339558:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.52 % TRYING [1]
% 0.16/0.52 % TRYING [2]
% 0.16/0.52 % TRYING [3]
% 0.16/0.52 % (148798)Instruction limit reached!
% 0.16/0.52 % (148798)------------------------------
% 0.16/0.52 % (148798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (148798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (148798)CaDiCaL version: 2.1.3
% 0.16/0.52 % (148798)Termination reason: Instruction limit
% 0.16/0.52 % (148798)Termination phase: Saturation
% 0.16/0.52 % (148798)Time elapsed: 0.042 s
% 0.16/0.52 % (148798)Peak memory usage: 13 MB
% 0.16/0.52 % (148798)Instructions burned: 118 (million)
% 0.16/0.52 % (148808)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3852415488:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.52 % (148797) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-148789-148797"...
% 0.16/0.52 % (148797)...printing done.
% 0.16/0.52 % (148797)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status ContradictoryAxioms for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (148797)------------------------------
% 0.16/0.52 % (148797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (148797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (148797)CaDiCaL version: 2.1.3
% 0.16/0.52 % (148797)Termination reason: Refutation
% 0.16/0.52 % (148797)Time elapsed: 0.047 s
% 0.16/0.52 % (148797)Peak memory usage: 13 MB
% 0.16/0.52 % (148797)Instructions burned: 69 (million)
% 0.16/0.52 % (148789)Success in time 0.092 s
% 0.16/0.52 % Vampire exiting
%------------------------------------------------------------------------------