%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM531+2 : 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 : n018.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 12:24:41 PM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 42 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 21 ~; 7 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f8,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(f9,conjecture,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ ( ~ ? [X1] : aElementOf0(X1,X0)
& X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> ~ ( ~ ? [X1] : aElementOf0(X1,X0)
& X0 = slcrc0 ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f17,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0] :
( ! [X1] : ~ aElementOf0(X1,X0)
& X0 = slcrc0
& aSet0(X0)
& isCountable0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f20,plain,
? [X0] :
( ! [X1] : ~ aElementOf0(X1,X0)
& X0 = slcrc0
& aSet0(X0)
& isCountable0(X0) ),
inference(flattening,[],[f19]) ).
fof(f25,plain,
( ! [X1] : ~ aElementOf0(X1,sK1)
& slcrc0 = sK1
& aSet0(sK1)
& isCountable0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f20]) ).
fof(f29,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
isCountable0(sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f32,plain,
aSet0(sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
slcrc0 = sK1,
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
isFinite0(sK1),
inference(definition_unfolding,[],[f29,f33]) ).
fof(f41,plain,
( ~ aSet0(sK1)
| ~ isFinite0(sK1) ),
inference(resolution,[],[f30,f31]) ).
fof(f42,plain,
~ isFinite0(sK1),
inference(forward_subsumption_resolution,[],[f41,f32]) ).
fof(f43,plain,
$false,
inference(forward_subsumption_resolution,[],[f42,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM531+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37 % Computer : n018.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 20:23:54 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 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
% 0.08/0.45 % (2697489)Will run a generic schedule for satisfiability detection.
% 0.08/0.45 % (2697499)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=570751005:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.45 % (2697499) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2697489-2697499"...
% 0.08/0.45 % (2697499)...printing done.
% 0.08/0.45 % (2697495)% WARNING: option uhcvi not known.
% 0.08/0.45 % (2697499)Refutation found. Thanks to Tanya!
% 0.08/0.45 % SZS status Theorem for theBenchmark
% 0.08/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.45 % (2697499)------------------------------
% 0.08/0.45 % (2697499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.45 % (2697499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.45 % (2697499)CaDiCaL version: 2.1.3
% 0.08/0.45 % (2697499)Termination reason: Refutation
% 0.08/0.45 % (2697499)Time elapsed: 0.001 s
% 0.08/0.45 % (2697499)Peak memory usage: 11 MB
% 0.08/0.45 % (2697489)Success in time 0.039 s
% 0.08/0.45 % Vampire exiting
%------------------------------------------------------------------------------