%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:06:58 PM UTC 2026
% Result : Unsatisfiable 0.35s 0.45s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 12 unt; 4 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 22 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f128,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f362,axiom,
! [X0] :
( ~ l4(X0)
| q5(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_324) ).
fof(f369,negated_conjecture,
~ q5(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f664,definition,
( spl0_75
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f665,plain,
( n2(e)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f666,plain,
( ~ n2(e)
| spl0_75 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f785,definition,
( spl0_105
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f1175,definition,
( spl0_202
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
fof(f1244,definition,
( spl0_219
<=> p1(e,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
fof(f1246,plain,
( p1(e,e,e)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1247,plain,
( ~ spl0_202
| ~ spl0_105
| spl0_219 ),
inference(avatar_split_clause,[],[f128,f1244,f785,f1175]) ).
fof(f1499,plain,
spl0_202,
inference(avatar_split_clause,[],[f28,f1175]) ).
fof(f1505,plain,
spl0_105,
inference(avatar_split_clause,[],[f13,f785]) ).
fof(f1671,plain,
( n2(e)
| ~ spl0_219 ),
inference(resolution,[],[f175,f1246]) ).
fof(f1678,plain,
( $false
| spl0_75
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f1671,f666]) ).
fof(f1679,plain,
( spl0_75
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f1678]) ).
fof(f1707,plain,
( p3(e,e,e)
| ~ spl0_75 ),
inference(resolution,[],[f282,f665]) ).
fof(f1710,plain,
( l4(e)
| ~ spl0_75 ),
inference(resolution,[],[f1707,f315]) ).
fof(f1712,plain,
( q5(e,e)
| ~ spl0_75 ),
inference(resolution,[],[f1710,f362]) ).
fof(f1713,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1712,f369]) ).
fof(f1714,plain,
~ spl0_75,
inference(avatar_contradiction_clause,[],[f1713]) ).
cnf(s105,plain,
( ~ spl0_105
| ~ spl0_202
| spl0_219 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s146,plain,
spl0_202,
inference(sat_conversion,[],[f1499]) ).
cnf(s152,plain,
spl0_105,
inference(sat_conversion,[],[f1505]) ).
cnf(s219,plain,
( spl0_75
| ~ spl0_219 ),
inference(sat_conversion,[],[f1679]) ).
cnf(s227,plain,
~ spl0_75,
inference(sat_conversion,[],[f1714]) ).
cnf(s228,plain,
~ spl0_219,
inference(rat,[],[s219,s227]) ).
cnf(s272,plain,
$false,
inference(rat,[],[s105,s228,s146,s152]) ).
fof(f1715,plain,
$false,
inference(avatar_sat_refutation,[],[s272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.32 % Computer : n017.cluster.edu
% 0.29/0.32 % Model : x86_64 x86_64
% 0.29/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.32 % Memory : 8046.5625MB
% 0.29/0.32 % OS : Linux 6.8.0-71-generic
% 0.29/0.32 % CPULimit : 300
% 0.29/0.32 % WCLimit : 300
% 0.29/0.32 % DateTime : Mon Sep 28 15:33:07 UTC 2026
% 0.29/0.33 % CPUTime :
% 0.29/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.38 Running first-order model finding
% 0.29/0.38 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
% 0.35/0.45 % (3643858)Will run a generic schedule for satisfiability detection.
% 0.35/0.45 % (3643868)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3795080019:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.45 % (3643864)% WARNING: option uhcvi not known.
% 0.35/0.45 % (3643863)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2240031936_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.45 % (3643865)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3884389938:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.45 % (3643866)dis+10_1_sil=32000:sp=arity:random_seed=11239189:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.45 % (3643868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3643858-3643868"...
% 0.35/0.45 % (3643864)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1033752094:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.45 % (3643867)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3511227786:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.45 % (3643869)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3455425020:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.45 % (3643868)...printing done.
% 0.35/0.45 % (3643868)Refutation found. Thanks to Tanya!
% 0.35/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.35/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.45 % (3643868)------------------------------
% 0.35/0.45 % (3643868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.45 % (3643868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.45 % (3643868)CaDiCaL version: 2.1.3
% 0.35/0.45 % (3643868)Termination reason: Refutation
% 0.35/0.45 % (3643868)Time elapsed: 0.007 s
% 0.35/0.45 % (3643868)Peak memory usage: 13 MB
% 0.35/0.45 % (3643868)Instructions burned: 18 (million)
% 0.35/0.45 % (3643858)Success in time 0.048 s
% 0.35/0.45 % Vampire exiting
%------------------------------------------------------------------------------