%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 11 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetryish) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivityish) ).
fof(f22,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_19) ).
fof(f23,negated_conjecture,
equalish(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_20) ).
fof(f26,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_23) ).
fof(f191,definition,
( spl0_24
<=> equalish(k,m) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f192,plain,
( ~ equalish(k,m)
| spl0_24 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f193,plain,
( equalish(k,m)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f308,plain,
equalish(k,m),
inference(resolution,[],[f2,f26]) ).
fof(f453,definition,
( spl0_46
<=> equalish(n,m) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f454,plain,
( ~ equalish(n,m)
| spl0_46 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( equalish(n,m)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f466,plain,
( equalish(m,n)
| ~ spl0_46 ),
inference(resolution,[],[f455,f2]) ).
fof(f467,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f466,f22]) ).
fof(f468,plain,
~ spl0_46,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f916,plain,
( ! [X0] :
( ~ equalish(X0,k)
| equalish(X0,m) )
| ~ spl0_24 ),
inference(resolution,[],[f3,f193]) ).
fof(f948,plain,
( equalish(n,m)
| ~ spl0_24 ),
inference(resolution,[],[f916,f23]) ).
fof(f951,plain,
( $false
| ~ spl0_24
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f948,f454]) ).
fof(f952,plain,
( ~ spl0_24
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f953,plain,
( $false
| spl0_24 ),
inference(global_subsumption,[],[f192,f308]) ).
fof(f954,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f953]) ).
cnf(s320,plain,
~ spl0_46,
inference(sat_conversion,[],[f468]) ).
cnf(s637,plain,
( ~ spl0_24
| spl0_46 ),
inference(sat_conversion,[],[f952]) ).
cnf(s639,plain,
spl0_24,
inference(sat_conversion,[],[f954]) ).
cnf(s641,plain,
spl0_46,
inference(rat,[],[s637,s639]) ).
cnf(s642,plain,
$false,
inference(rat,[],[s320,s641]) ).
fof(f955,plain,
$false,
inference(avatar_sat_refutation,[],[s642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:26:04 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % (429446)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (429453)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3408262348:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (429452)% WARNING: option uhcvi not known.
% 0.08/0.25 % (429451)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3373243821_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (429455)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2167538339:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (429452)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2742615211:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (429454)dis+10_1_sil=32000:sp=arity:random_seed=1831028210:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (429456)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4285296408:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (429453) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-429446-429453"...
% 0.08/0.25 % (429457)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=219324915:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (429453)...printing done.
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % TRYING [2]
% 0.08/0.25 % (429453)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (429453)------------------------------
% 0.08/0.25 % (429453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (429453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (429453)CaDiCaL version: 2.1.3
% 0.08/0.25 % (429453)Termination reason: Refutation
% 0.08/0.25 % (429453)Time elapsed: 0.009 s
% 0.08/0.25 % (429453)Peak memory usage: 12 MB
% 0.08/0.25 % (429453)Instructions burned: 21 (million)
% 0.08/0.25 % (429446)Success in time 0.037 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------