%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 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 02:17:44 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 11 unt; 3 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 36 ~; 42 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X0] : p17(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_6) ).
fof(f7,negated_conjecture,
p18(c24,f6(c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_7) ).
fof(f8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p18_8) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( ~ p17(f3(X0),X1)
| p17(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_9) ).
fof(f24,negated_conjecture,
! [X0] :
( ~ p18(X0,f6(c25))
| p2(f14(X0),c20)
| p18(X0,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_24) ).
fof(f27,negated_conjecture,
! [X0] :
( p17(f3(c21),f15(X0))
| p18(X0,f6(c19))
| ~ p18(X0,f6(c25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(c24,f9(f13(X0,X1),X2))
| ~ p17(c21,X1)
| ~ p2(X0,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_32) ).
fof(f33,negated_conjecture,
! [X0] :
( p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| p18(X0,f6(c19))
| ~ p18(X0,f6(c25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
fof(f34,negated_conjecture,
! [X0] :
( p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X0,f6(f7(c22,c23)))
| ~ p18(X0,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
fof(f71,plain,
( p2(f14(c24),c20)
| p18(c24,f6(c19)) ),
inference(resolution,[],[f24,f7]) ).
fof(f73,definition,
( spl0_1
<=> p18(c24,f6(c19)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( ~ p18(c24,f6(c19))
| spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_2
<=> p2(f14(c24),c20) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f79,plain,
( p2(f14(c24),c20)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f71,f77,f73]) ).
fof(f95,plain,
! [X0] :
( ~ p18(X0,f6(c25))
| p18(X0,f6(c19))
| p17(c21,f15(X0)) ),
inference(resolution,[],[f27,f9]) ).
fof(f122,plain,
( p18(c24,f6(c19))
| ~ p18(c24,f6(c25))
| ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20) ),
inference(resolution,[],[f33,f32]) ).
fof(f123,plain,
( p18(c24,f6(c19))
| ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20) ),
inference(forward_subsumption_resolution,[],[f122,f7]) ).
fof(f124,plain,
( p18(c24,f6(c19))
| ~ p17(c21,f15(c24))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f123,f79]) ).
fof(f126,definition,
( spl0_3
<=> p17(c21,f15(c24)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f128,plain,
( ~ p17(c21,f15(c24))
| spl0_3 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f124,f77,f73,f126]) ).
fof(f132,plain,
( p18(c24,f6(f7(c22,c23)))
| ~ p18(c24,f6(c19))
| ~ p17(c21,c21)
| ~ p2(c20,c20) ),
inference(resolution,[],[f34,f32]) ).
fof(f133,plain,
( ~ p18(c24,f6(c19))
| ~ p17(c21,c21)
| ~ p2(c20,c20) ),
inference(forward_subsumption_resolution,[],[f132,f8]) ).
fof(f134,plain,
( ~ p18(c24,f6(c19))
| ~ p2(c20,c20) ),
inference(forward_subsumption_resolution,[],[f133,f6]) ).
fof(f135,plain,
~ p18(c24,f6(c19)),
inference(forward_subsumption_resolution,[],[f134,f5]) ).
fof(f136,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f135,f73]) ).
fof(f211,plain,
( p18(c24,f6(c19))
| p17(c21,f15(c24)) ),
inference(resolution,[],[f95,f7]) ).
fof(f213,plain,
( p17(c21,f15(c24))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f211,f74]) ).
fof(f214,plain,
( $false
| spl0_1
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f213,f128]) ).
fof(f215,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f214]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f80]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f129]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f136]) ).
cnf(s4,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f215]) ).
cnf(s5,plain,
spl0_3,
inference(rat,[],[s4,s3]) ).
cnf(s6,plain,
~ spl0_2,
inference(rat,[],[s2,s5,s3]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s3]) ).
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n004.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 16:36:07 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 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
% 0.20/0.27 % (506336)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (506345)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=12486682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (506342)% WARNING: option uhcvi not known.
% 0.20/0.27 % (506342)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2364031403:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (506341)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2910250937_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (506343)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2116491095:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (506344)dis+10_1_sil=32000:sp=arity:random_seed=1389693404:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (506346)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1126695208:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (506347)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4134734823:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % TRYING [1]
% 0.20/0.27 % TRYING [2]
% 0.20/0.27 % (506344) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-506336-506344"...
% 0.20/0.27 % TRYING [3]
% 0.20/0.27 % (506344)...printing done.
% 0.20/0.27 % (506344)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (506344)------------------------------
% 0.20/0.27 % (506344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (506344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (506344)CaDiCaL version: 2.1.3
% 0.20/0.27 % (506344)Termination reason: Refutation
% 0.20/0.27 % (506344)Time elapsed: 0.005 s
% 0.20/0.27 % (506344)Peak memory usage: 12 MB
% 0.20/0.27 % (506344)Instructions burned: 6 (million)
% 0.20/0.27 % (506336)Success in time 0.037 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------