%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM550+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 : 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 12:24:46 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 35 ( 23 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 9 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f67,conjecture,
xQ != slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f68,negated_conjecture,
~ ( xQ != slcrc0 ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f75,plain,
slcrc0 = xQ,
inference(flattening,[],[f68]) ).
fof(f126,plain,
! [X0] :
( ( sbrdtbr0(X0) = sz00
<=> X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f187,plain,
! [X0] :
( ( ( sbrdtbr0(X0) = sz00
| slcrc0 != X0 )
& ( X0 = slcrc0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f276,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f319,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f326,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f328,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f329,plain,
slcrc0 = xQ,
inference(cnf_transformation,[],[f75]) ).
fof(f335,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| xQ != X0
| ~ aSet0(X0) ),
inference(definition_unfolding,[],[f276,f329]) ).
fof(f356,plain,
( sz00 = sbrdtbr0(xQ)
| ~ aSet0(xQ) ),
inference(equality_resolution,[],[f335]) ).
fof(f372,plain,
sz00 = sbrdtbr0(xQ),
inference(global_subsumption,[],[f356,f328]) ).
fof(f490,plain,
sz00 = xk,
inference(forward_demodulation,[],[f326,f372]) ).
fof(f491,plain,
$false,
inference(forward_subsumption_resolution,[],[f490,f319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM550+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:27:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (1137054)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (1137061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3287978043:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (1137061) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1137054-1137061"...
% 0.10/0.45 % (1137061)...printing done.
% 0.10/0.45 % (1137061)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (1137061)------------------------------
% 0.10/0.45 % (1137061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (1137061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (1137061)CaDiCaL version: 2.1.3
% 0.10/0.45 % (1137061)Termination reason: Refutation
% 0.10/0.45 % (1137061)Time elapsed: 0.004 s
% 0.10/0.45 % (1137061)Peak memory usage: 12 MB
% 0.10/0.45 % (1137061)Instructions burned: 10 (million)
% 0.10/0.45 % (1137054)Success in time 0.032 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------