%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM557+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 : n012.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 12:24:48 PM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 66 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 30 ~; 23 |; 10 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f72,axiom,
( aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
fof(f73,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f74,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f75,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(flattening,[],[f74]) ).
fof(f160,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f161,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f160]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X2)
| slbdtsldtrb0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f161]) ).
fof(f272,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f275,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f290,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f72]) ).
fof(f291,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f72]) ).
fof(f292,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f75]) ).
fof(f319,plain,
! [X2,X3,X0] :
( ~ aElementOf0(sbrdtbr0(X3),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,X2)
| slbdtsldtrb0(X0,sbrdtbr0(X3)) != X2 ),
inference(equality_resolution,[],[f264]) ).
fof(f320,plain,
! [X3,X0] :
( ~ aElementOf0(sbrdtbr0(X3),szNzAzT0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X3,X0)
| aElementOf0(X3,slbdtsldtrb0(X0,sbrdtbr0(X3))) ),
inference(equality_resolution,[],[f319]) ).
fof(f409,plain,
! [X3,X0] :
( ~ aSubsetOf0(X3,X0)
| ~ aSet0(X0)
| aElementOf0(sbrdtbr0(X3),szNzAzT0)
| ~ aElementOf0(X3,slbdtsldtrb0(X0,sbrdtbr0(X3))) ),
inference(consistent_polarity_flipping,[],[f320]) ).
fof(f415,plain,
~ aElementOf0(xk,szNzAzT0),
inference(consistent_polarity_flipping,[],[f272]) ).
fof(f423,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(consistent_polarity_flipping,[],[f292]) ).
fof(f1056,plain,
( ~ aSet0(xS)
| aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xS,sbrdtbr0(xP))) ),
inference(resolution,[],[f409,f291]) ).
fof(f1058,plain,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xS,sbrdtbr0(xP))) ),
inference(forward_subsumption_resolution,[],[f1056,f275]) ).
fof(f1062,plain,
( aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(xP,slbdtsldtrb0(xS,sbrdtbr0(xP))) ),
inference(forward_demodulation,[],[f1058,f290]) ).
fof(f1073,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,sbrdtbr0(xP))),
inference(forward_subsumption_resolution,[],[f1062,f415]) ).
fof(f1075,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(forward_demodulation,[],[f1073,f290]) ).
fof(f1077,plain,
$false,
inference(forward_subsumption_resolution,[],[f1075,f423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM557+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 20:28:34 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 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
% 0.07/0.37 % (2708324)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2708330)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2708332)dis+10_1_sil=32000:sp=arity:random_seed=3453042454:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2708335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1962844220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % (2708331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3478013661:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2708329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2749055926_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2708330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1995944120:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2708333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1348109493:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2708334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=724120047:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % TRYING [3]
% 0.07/0.37 % (2708330) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2708324-2708330"...
% 0.07/0.37 % (2708330)...printing done.
% 0.07/0.37 % TRYING [4]
% 0.07/0.37 % (2708330)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Theorem for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (2708330)------------------------------
% 0.07/0.37 % (2708330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (2708330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (2708330)CaDiCaL version: 2.1.3
% 0.07/0.37 % (2708330)Termination reason: Refutation
% 0.07/0.37 % (2708330)Time elapsed: 0.011 s
% 0.07/0.37 % (2708330)Peak memory usage: 12 MB
% 0.07/0.37 % (2708330)Instructions burned: 25 (million)
% 0.07/0.37 % (2708324)Success in time 0.04 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------