%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM520+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 : n015.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 12:24:39 PM UTC 2026
% Result : ContradictoryAxioms 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 2 def)
% Number of atoms : 26 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 5 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
fof(f47,axiom,
~ ( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f127,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f128,plain,
( sz00 = xk
| sz10 = xk ),
inference(ennf_transformation,[],[f47]) ).
fof(f255,plain,
sz10 != xk,
inference(cnf_transformation,[],[f127]) ).
fof(f256,plain,
sz00 != xk,
inference(cnf_transformation,[],[f127]) ).
fof(f257,plain,
( sz10 = xk
| sz00 = xk ),
inference(cnf_transformation,[],[f128]) ).
fof(f277,definition,
( spl13_1
<=> sz00 = xk ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f281,definition,
( spl13_2
<=> sz10 = xk ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f284,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f257,f281,f277]) ).
fof(f285,plain,
~ spl13_2,
inference(avatar_split_clause,[],[f255,f281]) ).
fof(f286,plain,
~ spl13_1,
inference(avatar_split_clause,[],[f256,f277]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f284]) ).
cnf(s2,plain,
~ spl13_2,
inference(sat_conversion,[],[f285]) ).
cnf(s3,plain,
~ spl13_1,
inference(sat_conversion,[],[f286]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f309,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 20:22:16 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.45 % (1984163)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (1984172)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2203994440:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (1984169)% WARNING: option uhcvi not known.
% 0.09/0.45 % (1984172) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1984163-1984172"...
% 0.09/0.45 % (1984172)...printing done.
% 0.09/0.45 % (1984172)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status ContradictoryAxioms for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (1984172)------------------------------
% 0.09/0.45 % (1984172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (1984172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (1984172)CaDiCaL version: 2.1.3
% 0.09/0.45 % (1984172)Termination reason: Refutation
% 0.09/0.45 % (1984172)Time elapsed: 0.005 s
% 0.09/0.45 % (1984172)Peak memory usage: 12 MB
% 0.09/0.45 % (1984172)Instructions burned: 15 (million)
% 0.09/0.45 % (1984163)Success in time 0.031 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------