%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM540+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 : n004.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 12:24:44 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 73 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 38 ~; 28 |; 6 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 35 ( 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f52,conjecture,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f54,plain,
slcrc0 != slbdtrb0(sz00),
inference(flattening,[],[f53]) ).
fof(f60,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f99,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f135,plain,
! [X0] :
( aElementOf0(sK0(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f181,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(cnf_transformation,[],[f99]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f217,plain,
slcrc0 != slbdtrb0(sz00),
inference(cnf_transformation,[],[f54]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f215]) ).
fof(f240,plain,
! [X2,X0] :
( ~ aElementOf0(X2,slbdtrb0(X0))
| aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f210]) ).
fof(f241,plain,
! [X2,X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,slbdtrb0(X0)) ),
inference(equality_resolution,[],[f209]) ).
fof(f243,plain,
! [X0] :
( aElementOf0(sK0(X0),X0)
| aSet0(X0)
| slcrc0 = X0 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f283,plain,
! [X0] :
( sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f311,plain,
! [X0] :
( ~ aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f316,plain,
! [X2,X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,slbdtrb0(X0)) ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f399,plain,
! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(sz00))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f316,f283]) ).
fof(f400,plain,
! [X0] :
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(X0,slbdtrb0(sz00)) ),
inference(forward_subsumption_resolution,[],[f399,f240]) ).
fof(f401,plain,
! [X0] : ~ aElementOf0(X0,slbdtrb0(sz00)),
inference(forward_subsumption_resolution,[],[f400,f173]) ).
fof(f446,plain,
( aSet0(slbdtrb0(sz00))
| slcrc0 = slbdtrb0(sz00) ),
inference(resolution,[],[f401,f243]) ).
fof(f451,plain,
aSet0(slbdtrb0(sz00)),
inference(forward_subsumption_resolution,[],[f446,f217]) ).
fof(f462,plain,
~ aElementOf0(sz00,szNzAzT0),
inference(resolution,[],[f451,f311]) ).
fof(f464,plain,
$false,
inference(forward_subsumption_resolution,[],[f462,f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM540+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:24:07 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 Running first-order model finding
% 0.12/0.39 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
% 0.12/0.45 % (3853466)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3853476)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4249488368:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (3853472)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3853471)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=538592317_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (3853473)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1104901289:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3853474)dis+10_1_sil=32000:sp=arity:random_seed=376294375:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (3853475)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3103546190:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (3853477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=66545707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (3853472)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=856314230:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % (3853472) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3853466-3853472"...
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % (3853472)...printing done.
% 0.12/0.45 % (3853472)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3853472)------------------------------
% 0.12/0.45 % (3853472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3853472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3853472)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3853472)Termination reason: Refutation
% 0.12/0.45 % (3853472)Time elapsed: 0.009 s
% 0.12/0.45 % (3853472)Peak memory usage: 11 MB
% 0.12/0.45 % (3853472)Instructions burned: 10 (million)
% 0.12/0.45 % (3853466)Success in time 0.048 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------