%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 02:06:44 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.27s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 11 unt; 9 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 61 ~; 69 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 10 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
fof(f2,negated_conjecture,
! [X0] :
( big_p(f(f(X0)))
| big_p(X0)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
fof(f3,negated_conjecture,
! [X0] :
( big_p(f(f(X0)))
| ~ big_p(f(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
fof(f4,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
fof(f5,negated_conjecture,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
fof(f6,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
fof(f7,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
fof(f9,definition,
( spl0_1
<=> big_p(f(f(sk1))) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( ~ big_p(f(f(sk1)))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> big_p(sk2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,definition,
( spl0_3
<=> big_p(f(sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f7,f17,f13,f9]) ).
fof(f22,definition,
( spl0_4
<=> big_p(f(f(sk2))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( ~ big_p(f(f(sk2)))
| spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f26,definition,
( spl0_5
<=> big_p(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f30,definition,
( spl0_6
<=> big_p(f(sk1)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f32,plain,
( big_p(f(sk1))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f30,f26,f22]) ).
fof(f34,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f30,f17,f26,f13]) ).
fof(f35,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f4,f9,f22]) ).
fof(f37,definition,
( spl0_7
<=> big_p(a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f41,definition,
( spl0_8
<=> ! [X0] :
( big_p(f(f(X0)))
| ~ big_p(f(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f42,plain,
( ! [X0] :
( big_p(f(f(X0)))
| ~ big_p(f(X0)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f3,f41,f37]) ).
fof(f45,definition,
( spl0_9
<=> ! [X0] :
( big_p(f(f(X0)))
| big_p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f46,plain,
( ! [X0] :
( big_p(f(f(X0)))
| big_p(X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f2,f45,f37]) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f37]) ).
fof(f49,plain,
( big_p(sk1)
| spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f46,f11]) ).
fof(f52,plain,
( spl0_5
| spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f49,f45,f9,f26]) ).
fof(f53,plain,
( big_p(sk2)
| spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f24,f46]) ).
fof(f56,plain,
( spl0_2
| spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f53,f45,f22,f13]) ).
fof(f57,plain,
( ~ big_p(f(sk1))
| spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f42,f11]) ).
fof(f58,plain,
( ~ big_p(f(sk2))
| spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f42,f24]) ).
fof(f59,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f58,f41,f22,f17]) ).
fof(f60,plain,
( $false
| spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f57,f32]) ).
fof(f61,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f60]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f33]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f34]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f43]) ).
cnf(s6,plain,
( ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f47]) ).
cnf(s7,plain,
spl0_7,
inference(sat_conversion,[],[f48]) ).
cnf(s9,plain,
( spl0_1
| spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f52]) ).
cnf(s11,plain,
( spl0_2
| spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f56]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f59]) ).
cnf(s13,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f61]) ).
cnf(s14,plain,
spl0_9,
inference(rat,[],[s6,s7]) ).
cnf(s15,plain,
spl0_8,
inference(rat,[],[s5,s7]) ).
cnf(s16,plain,
( ~ spl0_5
| spl0_6 ),
inference(rat,[],[s3,s11,s12,s2,s15,s14]) ).
cnf(s17,plain,
spl0_1,
inference(rat,[],[s16,s9,s13,s14,s15]) ).
cnf(s18,plain,
~ spl0_4,
inference(rat,[],[s4,s17]) ).
cnf(s19,plain,
~ spl0_3,
inference(rat,[],[s12,s15,s18]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s11,s14,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s17,s19,s20]) ).
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:32:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.23 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
% 0.17/0.27 % (462399)Will run a generic schedule for satisfiability detection.
% 0.17/0.27 % (462404)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1940331845_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.27 % TRYING [1]
% 0.17/0.27 % TRYING [2]
% 0.17/0.27 % TRYING [3]
% 0.17/0.27 % TRYING [4]
% 0.17/0.27 % (462405)% WARNING: option uhcvi not known.
% 0.17/0.27 % TRYING [5]
% 0.17/0.27 % (462406)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3534441400:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.27 % (462405)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=497318558:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.27 % (462407)dis+10_1_sil=32000:sp=arity:random_seed=1403614927:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.27 % (462408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1334781224:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.27 % (462410)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3012010288:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.27 % (462409)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2470045219:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.27 % TRYING [6]
% 0.17/0.27 % (462405) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462405"...
% 0.17/0.27 % (462407) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462407"...
% 0.17/0.27 % (462406) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462406"...
% 0.17/0.27 % (462408) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462408"...
% 0.17/0.27 % (462409) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462409"...
% 0.17/0.27 % (462410) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-462399-462410"...
% 0.17/0.27 % (462405)...printing done.
% 0.17/0.27 % (462407)...printing done.
% 0.17/0.27 % (462406)...printing done.
% 0.17/0.27 % (462408)...printing done.
% 0.17/0.27 % (462409)...printing done.
% 0.17/0.27 % (462410)...printing done.
% 0.17/0.27 % (462405)Refutation found. Thanks to Tanya!
% 0.17/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.27 % (462405)------------------------------
% 0.17/0.27 % (462405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.27 % (462405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.27 % (462405)CaDiCaL version: 2.1.3
% 0.17/0.27 % (462405)Termination reason: Refutation
% 0.17/0.27 % (462405)Time elapsed: 0.002 s
% 0.17/0.27 % (462405)Peak memory usage: 12 MB
% 0.17/0.27 % (462405)Instructions burned: 1 (million)
% 0.17/0.27 % (462399)Success in time 0.035 s
% 0.17/0.27 % Vampire exiting
%------------------------------------------------------------------------------