%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN150-1 : 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 : n011.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 02:06:53 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 14 unt; 4 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f369,negated_conjecture,
~ n2(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1129,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1130,plain,
( k1(b)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1186,definition,
( spl0_205
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
fof(f1305,definition,
( spl0_234
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
fof(f1306,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1307,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(avatar_split_clause,[],[f117,f1305,f1186,f900]) ).
fof(f1556,plain,
spl0_205,
inference(avatar_split_clause,[],[f28,f1186]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1626,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
fof(f1647,plain,
spl0_191,
inference(avatar_split_clause,[],[f1626,f1129]) ).
fof(f1788,plain,
( ! [X0] :
( ~ k1(X0)
| n2(X0) )
| ~ spl0_234 ),
inference(resolution,[],[f1306,f175]) ).
fof(f1793,plain,
( n2(b)
| ~ spl0_191
| ~ spl0_234 ),
inference(resolution,[],[f1788,f1130]) ).
fof(f1796,plain,
( $false
| ~ spl0_191
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f1793,f369]) ).
fof(f1797,plain,
( ~ spl0_191
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f1796]) ).
cnf(s116,plain,
( ~ spl0_134
| ~ spl0_205
| spl0_234 ),
inference(sat_conversion,[],[f1307]) ).
cnf(s156,plain,
spl0_205,
inference(sat_conversion,[],[f1556]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s203,plain,
spl0_191,
inference(sat_conversion,[],[f1647]) ).
cnf(s260,plain,
( ~ spl0_191
| ~ spl0_234 ),
inference(sat_conversion,[],[f1797]) ).
cnf(s262,plain,
~ spl0_234,
inference(rat,[],[s260,s203]) ).
cnf(s297,plain,
$false,
inference(rat,[],[s116,s262,s156,s158]) ).
fof(f1798,plain,
$false,
inference(avatar_sat_refutation,[],[s297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN150-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:37:01 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
% 0.08/0.22 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
% 0.08/0.26 % (3474303)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3474315)dis+10_1_sil=32000:sp=arity:random_seed=3495945747:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (3474313)% WARNING: option uhcvi not known.
% 0.08/0.26 % (3474312)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3497523065_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (3474315) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474303-3474315"...
% 0.08/0.26 % (3474313)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2650510533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (3474314)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1687198094:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (3474317)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2211830199:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (3474315)...printing done.
% 0.08/0.26 % (3474316)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1143327318:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (3474318)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=256850281:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (3474315)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (3474315)------------------------------
% 0.08/0.26 % (3474315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3474315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3474315)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3474315)Termination reason: Refutation
% 0.08/0.26 % (3474315)Time elapsed: 0.007 s
% 0.08/0.26 % (3474315)Peak memory usage: 13 MB
% 0.08/0.26 % (3474315)Instructions burned: 16 (million)
% 0.08/0.26 % (3474303)Success in time 0.029 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------