%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN108-1 : 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 : n019.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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 11 unt; 3 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 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(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f150,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ k1(X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_112) ).
fof(f167,axiom,
! [X0,X1] :
( k2(X0,X0)
| ~ q1(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(a,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1014,definition,
( spl0_163
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1042,definition,
( spl0_170
<=> ! [X0] :
( q1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1043,plain,
( ! [X0] :
( ~ k1(X0)
| q1(X0,X0,X0) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1044,plain,
( ~ spl0_163
| spl0_170 ),
inference(avatar_split_clause,[],[f150,f1042,f1014]) ).
fof(f1187,definition,
( spl0_206
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
fof(f1188,plain,
( k1(a)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1189,plain,
( ~ k1(a)
| spl0_206 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1271,plain,
spl0_163,
inference(avatar_split_clause,[],[f5,f1014]) ).
fof(f1344,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_206 ),
inference(resolution,[],[f1189,f39]) ).
fof(f1357,plain,
( $false
| spl0_206 ),
inference(resolution,[],[f1344,f37]) ).
fof(f1358,plain,
spl0_206,
inference(avatar_contradiction_clause,[],[f1357]) ).
fof(f1477,plain,
( q1(a,a,a)
| ~ spl0_170
| ~ spl0_206 ),
inference(resolution,[],[f1043,f1188]) ).
fof(f1548,plain,
! [X0] : ~ q1(X0,a,a),
inference(resolution,[],[f167,f369]) ).
fof(f1549,plain,
( $false
| ~ spl0_170
| ~ spl0_206 ),
inference(resolution,[],[f1548,f1477]) ).
fof(f1550,plain,
( ~ spl0_170
| ~ spl0_206 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
cnf(s82,plain,
( ~ spl0_163
| spl0_170 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s130,plain,
spl0_163,
inference(sat_conversion,[],[f1271]) ).
cnf(s167,plain,
spl0_206,
inference(sat_conversion,[],[f1358]) ).
cnf(s202,plain,
( ~ spl0_170
| ~ spl0_206 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s203,plain,
~ spl0_170,
inference(rat,[],[s202,s167]) ).
cnf(s248,plain,
$false,
inference(rat,[],[s82,s203,s130]) ).
fof(f1551,plain,
$false,
inference(avatar_sat_refutation,[],[s248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN108-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:34:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.28 % (4094147)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (4094156)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4031277836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (4094153)% WARNING: option uhcvi not known.
% 0.20/0.28 % (4094152)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4227346457_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (4094154)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1131984936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (4094155)dis+10_1_sil=32000:sp=arity:random_seed=3391981486:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (4094153)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3473151631:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (4094157)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2744738410:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (4094158)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2466534776:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (4094156) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4094147-4094156"...
% 0.20/0.28 % (4094156)...printing done.
% 0.20/0.28 % (4094156)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (4094156)------------------------------
% 0.20/0.28 % (4094156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (4094156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (4094156)CaDiCaL version: 2.1.3
% 0.20/0.28 % (4094156)Termination reason: Refutation
% 0.20/0.28 % (4094156)Time elapsed: 0.012 s
% 0.20/0.28 % (4094156)Peak memory usage: 13 MB
% 0.20/0.28 % (4094156)Instructions burned: 36 (million)
% 0.20/0.28 % (4094147)Success in time 0.041 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------