%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM531+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 : n019.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 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 16 ~; 7 |; 7 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 6 !; 2 ?)
% 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) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f19,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
? [X0] :
( slcrc0 = X0
& aSet0(X0)
& isCountable0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
? [X0] :
( slcrc0 = X0
& aSet0(X0)
& isCountable0(X0) ),
inference(flattening,[],[f21]) ).
fof(f27,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] :
( ~ isCountable0(X0)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f29,plain,
isCountable0(sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f30,plain,
aSet0(sK1),
inference(cnf_transformation,[],[f22]) ).
fof(f31,plain,
slcrc0 = sK1,
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
isFinite0(sK1),
inference(definition_unfolding,[],[f27,f31]) ).
fof(f38,plain,
( ~ aSet0(sK1)
| ~ isFinite0(sK1) ),
inference(resolution,[],[f28,f29]) ).
fof(f39,plain,
~ isFinite0(sK1),
inference(forward_subsumption_resolution,[],[f38,f30]) ).
fof(f40,plain,
$false,
inference(forward_subsumption_resolution,[],[f39,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM531+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:22:04 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
% 0.11/0.45 % (3379597)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3379606)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3584647643:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3379606) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3379597-3379606"...
% 0.11/0.45 % (3379606)...printing done.
% 0.11/0.45 % (3379606)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3379606)------------------------------
% 0.11/0.45 % (3379606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3379606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3379606)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3379606)Termination reason: Refutation
% 0.11/0.45 % (3379606)Time elapsed: 0.001 s
% 0.11/0.45 % (3379606)Peak memory usage: 11 MB
% 0.11/0.45 % (3379597)Success in time 0.034 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------