%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN051-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 02:06:33 PM UTC 2026
% Result : Unsatisfiable 0.05s 0.17s
% Output : Refutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 5 unt; 2 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ p
| big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
( ~ big_f(b)
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0] :
( p
| big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ big_f(X0)
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,definition,
( spl0_1
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( p
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f8,plain,
( ~ p
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f10,definition,
( spl0_2
<=> ! [X0] : ~ big_f(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( ! [X0] : ~ big_f(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f12,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f10,f6]) ).
fof(f13,plain,
( ! [X0] : big_f(X0)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f3,f8]) ).
fof(f14,plain,
( p
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2,f13]) ).
fof(f15,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f14,f8]) ).
fof(f16,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f15]) ).
fof(f17,plain,
( big_f(a)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1,f7]) ).
fof(f18,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f17,f11]) ).
fof(f19,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f18]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f12]) ).
cnf(s11,plain,
spl0_1,
inference(sat_conversion,[],[f16]) ).
cnf(s19,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s20,plain,
~ spl0_2,
inference(rat,[],[s19,s11]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s20,s11]) ).
fof(f20,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN051-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.12 % Computer : n012.cluster.edu
% 0.05/0.12 % Model : x86_64 x86_64
% 0.05/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.12 % Memory : 8046.5625MB
% 0.05/0.12 % OS : Linux 6.8.0-71-generic
% 0.05/0.12 % CPULimit : 300
% 0.05/0.12 % WCLimit : 300
% 0.05/0.12 % DateTime : Mon Sep 28 15:26:04 UTC 2026
% 0.05/0.12 % CPUTime :
% 0.05/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.13 Running first-order model finding
% 0.05/0.13 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
% 0.05/0.17 % (3454684)Will run a generic schedule for satisfiability detection.
% 0.05/0.17 % (3454702)% WARNING: option uhcvi not known.
% 0.05/0.17 % (3454706)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3140478157:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.05/0.17 % (3454702)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3258379675:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.05/0.17 % (3454703)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3815261246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.05/0.17 % (3454705)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=474796045:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.05/0.17 % (3454701)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2410186021_2999 on theBenchmark for (2999ds/0Mi)
% 0.05/0.17 % (3454704)dis+10_1_sil=32000:sp=arity:random_seed=3091819149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.05/0.17 % (3454706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454706"...
% 0.05/0.17 % (3454703) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454703"...
% 0.05/0.17 % (3454702) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454702"...
% 0.05/0.17 % Detected minimum model sizes of [1]
% 0.05/0.17 % Detected maximum model sizes of [2]
% 0.05/0.17 % TRYING [1]
% 0.05/0.17 % TRYING [2]
% 0.05/0.17 % (3454701) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454701"...
% 0.05/0.17 % (3454705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454705"...
% 0.05/0.17 % (3454704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454704"...
% 0.05/0.17 % (3454707)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3991858579:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.05/0.17 % (3454702)...printing done.
% 0.05/0.17 % (3454703)...printing done.
% 0.05/0.17 % (3454706)...printing done.
% 0.05/0.17 % (3454701)...printing done.
% 0.05/0.17 % (3454704)...printing done.
% 0.05/0.17 % (3454705)...printing done.
% 0.05/0.17 % (3454707) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3454684-3454707"...
% 0.05/0.17 % (3454703)Refutation found. Thanks to Tanya!
% 0.05/0.17 % SZS status Unsatisfiable for theBenchmark
% 0.05/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.05/0.17 % (3454703)------------------------------
% 0.05/0.17 % (3454703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.17 % (3454703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.17 % (3454703)CaDiCaL version: 2.1.3
% 0.05/0.17 % (3454703)Termination reason: Refutation
% 0.05/0.17 % (3454703)Time elapsed: 0.001 s
% 0.05/0.17 % (3454703)Peak memory usage: 12 MB
% 0.05/0.17 % (3454684)Success in time 0.033 s
% 0.05/0.17 % Vampire exiting
%------------------------------------------------------------------------------