%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM610+3 : 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 : 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 12:25:00 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 40 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 9 |; 10 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,axiom,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& ~ ( ~ ? [X0] : aElementOf0(X0,xQ)
| xQ = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f107,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) )
& aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
fof(f108,conjecture,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) )
| aSubsetOf0(xP,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f109,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xO) )
| aSubsetOf0(xP,xO) ),
inference(negated_conjecture,[status(cth)],[f108]) ).
fof(f122,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& ~ ( ~ ? [X1] : aElementOf0(X1,xQ)
| xQ = slcrc0 ) ),
inference(rectify,[],[f100]) ).
fof(f265,plain,
( ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& ? [X1] : aElementOf0(X1,xQ)
& slcrc0 != xQ ),
inference(ennf_transformation,[],[f122]) ).
fof(f266,plain,
( ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& ? [X1] : aElementOf0(X1,xQ)
& slcrc0 != xQ ),
inference(flattening,[],[f265]) ).
fof(f271,plain,
( ! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP) )
& aSubsetOf0(xP,xQ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f272,plain,
( ? [X0] :
( ~ aElementOf0(X0,xO)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xO) ),
inference(ennf_transformation,[],[f109]) ).
fof(f796,plain,
! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f266]) ).
fof(f819,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f271]) ).
fof(f821,plain,
aElementOf0(sK59,xP),
inference(cnf_transformation,[],[f272]) ).
fof(f822,plain,
~ aElementOf0(sK59,xO),
inference(cnf_transformation,[],[f272]) ).
fof(f951,plain,
~ aElementOf0(sK59,xQ),
inference(resolution,[],[f796,f822]) ).
fof(f959,plain,
aElementOf0(sK59,xQ),
inference(resolution,[],[f819,f821]) ).
fof(f960,plain,
$false,
inference(forward_subsumption_resolution,[],[f959,f951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM610+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 20:44:46 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.49 % (1144605)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (1144614)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2953591170:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (1144611)% WARNING: option uhcvi not known.
% 0.19/0.49 % (1144610)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=741103393_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (1144611)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1197192664:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (1144612)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3818335537:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (1144613)dis+10_1_sil=32000:sp=arity:random_seed=725865075:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (1144616)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3156999170:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (1144615)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=196133854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (1144614) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1144605-1144614"...
% 0.19/0.49 % (1144614)...printing done.
% 0.19/0.49 % (1144613) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1144605-1144613"...
% 0.19/0.49 % (1144614)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (1144614)------------------------------
% 0.19/0.49 % (1144614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (1144614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (1144614)CaDiCaL version: 2.1.3
% 0.19/0.49 % (1144614)Termination reason: Refutation
% 0.19/0.49 % (1144614)Time elapsed: 0.020 s
% 0.19/0.49 % (1144614)Peak memory usage: 13 MB
% 0.19/0.49 % (1144614)Instructions burned: 72 (million)
% 0.19/0.49 % (1144605)Success in time 0.057 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------