%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 14 unt; 4 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_38) ).
fof(f120,axiom,
! [X2,X3,X0,X1] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).
fof(f125,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_087) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f369,negated_conjecture,
~ p1(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f717,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f1276,definition,
( spl0_227
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1280,definition,
( spl0_228
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
fof(f1283,plain,
( ~ spl0_227
| spl0_228 ),
inference(avatar_split_clause,[],[f126,f1280,f1276]) ).
fof(f1285,definition,
( spl0_229
<=> p1(a,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
fof(f1287,plain,
( p1(a,b,a)
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1288,plain,
( ~ spl0_228
| ~ spl0_89
| spl0_229 ),
inference(avatar_split_clause,[],[f125,f1285,f717,f1280]) ).
fof(f1560,plain,
spl0_227,
inference(avatar_split_clause,[],[f20,f1276]) ).
fof(f1565,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f717]) ).
fof(f2864,plain,
( ! [X0] :
( ~ m0(a,b,a)
| p1(b,X0,a) )
| ~ spl0_229 ),
inference(resolution,[],[f120,f1287]) ).
fof(f2892,plain,
( ! [X0] : p1(b,X0,a)
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f2864,f12]) ).
fof(f2940,plain,
( ! [X0,X1] :
( ~ m0(b,X0,a)
| p1(X0,X1,b) )
| ~ spl0_229 ),
inference(resolution,[],[f2892,f120]) ).
fof(f5482,plain,
( ! [X0] : p1(a,X0,b)
| ~ spl0_229 ),
inference(resolution,[],[f2940,f38]) ).
fof(f5484,plain,
( $false
| ~ spl0_229 ),
inference(resolution,[],[f5482,f369]) ).
fof(f5492,plain,
~ spl0_229,
inference(avatar_contradiction_clause,[],[f5484]) ).
cnf(s111,plain,
( ~ spl0_227
| spl0_228 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s112,plain,
( ~ spl0_89
| ~ spl0_228
| spl0_229 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s160,plain,
spl0_227,
inference(sat_conversion,[],[f1560]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1565]) ).
cnf(s595,plain,
~ spl0_229,
inference(sat_conversion,[],[f5492]) ).
cnf(s692,plain,
~ spl0_228,
inference(rat,[],[s112,s595,s165]) ).
cnf(s694,plain,
$false,
inference(rat,[],[s111,s692,s160]) ).
fof(f5498,plain,
$false,
inference(avatar_sat_refutation,[],[s694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n004.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:37:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.22/0.30 % (471267)Will run a generic schedule for satisfiability detection.
% 0.22/0.30 % (471275)dis+10_1_sil=32000:sp=arity:random_seed=3865565494:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.30 % (471273)% WARNING: option uhcvi not known.
% 0.22/0.30 % (471273)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=918084405:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.30 % (471274)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=939766558:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.30 % (471276)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2902851179:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.30 % (471272)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4148225967_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.30 % (471278)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1790027500:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.30 % (471277)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=648685684:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.30 % Detected minimum model sizes of [1]
% 0.22/0.30 % Detected maximum model sizes of [5]
% 0.22/0.30 % TRYING [1]
% 0.22/0.30 % (471275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-471267-471275"...
% 0.22/0.30 % TRYING [2]
% 0.22/0.30 % (471275)...printing done.
% 0.22/0.30 % (471274) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-471267-471274"...
% 0.22/0.30 % (471275)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.30 % (471275)------------------------------
% 0.22/0.30 % (471275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (471275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (471275)CaDiCaL version: 2.1.3
% 0.22/0.30 % (471275)Termination reason: Refutation
% 0.22/0.30 % (471275)Time elapsed: 0.038 s
% 0.22/0.30 % (471275)Peak memory usage: 14 MB
% 0.22/0.30 % (471275)Instructions burned: 96 (million)
% 0.22/0.30 % (471267)Success in time 0.071 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------