%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN196-1 : 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 : 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 02:07:00 PM UTC 2026
% Result : Unsatisfiable 0.36s 0.45s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 3 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 26 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f369,negated_conjecture,
~ s1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f543,definition,
( spl0_45
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f544,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f997,definition,
( spl0_159
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f998,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1013,definition,
( spl0_163
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1014,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1015,plain,
( spl0_45
| spl0_163 ),
inference(avatar_split_clause,[],[f164,f1013,f543]) ).
fof(f1316,plain,
( $false
| ~ spl0_159 ),
inference(resolution,[],[f998,f14]) ).
fof(f1317,plain,
~ spl0_159,
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1353,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_45 ),
inference(resolution,[],[f163,f544]) ).
fof(f1354,plain,
( spl0_159
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1353,f543,f997]) ).
fof(f1375,plain,
( ! [X0] : ~ q0(a,X0)
| ~ spl0_163 ),
inference(resolution,[],[f1014,f369]) ).
fof(f1379,plain,
( $false
| ~ spl0_163 ),
inference(resolution,[],[f1375,f36]) ).
fof(f1382,plain,
~ spl0_163,
inference(avatar_contradiction_clause,[],[f1379]) ).
cnf(s76,plain,
( spl0_45
| spl0_163 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s145,plain,
~ spl0_159,
inference(sat_conversion,[],[f1317]) ).
cnf(s160,plain,
( ~ spl0_45
| spl0_159 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s170,plain,
~ spl0_163,
inference(sat_conversion,[],[f1382]) ).
cnf(s171,plain,
~ spl0_45,
inference(rat,[],[s160,s145]) ).
cnf(s214,plain,
$false,
inference(rat,[],[s76,s170,s171]) ).
fof(f1383,plain,
$false,
inference(avatar_sat_refutation,[],[s214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN196-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.31 % Computer : n004.cluster.edu
% 0.27/0.31 % Model : x86_64 x86_64
% 0.27/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31 % Memory : 8046.5625MB
% 0.27/0.31 % OS : Linux 6.8.0-71-generic
% 0.27/0.31 % CPULimit : 300
% 0.27/0.31 % WCLimit : 300
% 0.27/0.31 % DateTime : Mon Sep 28 15:38:07 UTC 2026
% 0.27/0.32 % CPUTime :
% 0.27/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.37 Running first-order model finding
% 0.27/0.37 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
% 0.36/0.45 % (473982)Will run a generic schedule for satisfiability detection.
% 0.36/0.45 % (473991)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2659337781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.45 % (473988)% WARNING: option uhcvi not known.
% 0.36/0.45 % (473987)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2435998794_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.45 % (473990)dis+10_1_sil=32000:sp=arity:random_seed=3069771746:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.45 % (473993)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=795537242:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.45 % (473992)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=385229845:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.45 % (473989)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4084467765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.45 % (473988)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2804680230:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.45 % (473991) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-473982-473991"...
% 0.36/0.45 % (473991)...printing done.
% 0.36/0.45 % (473991)Refutation found. Thanks to Tanya!
% 0.36/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.45 % (473991)------------------------------
% 0.36/0.45 % (473991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.45 % (473991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.45 % (473991)CaDiCaL version: 2.1.3
% 0.36/0.45 % (473991)Termination reason: Refutation
% 0.36/0.45 % (473991)Time elapsed: 0.017 s
% 0.36/0.45 % (473991)Peak memory usage: 13 MB
% 0.36/0.45 % (473991)Instructions burned: 31 (million)
% 0.36/0.45 % (473982)Success in time 0.065 s
% 0.36/0.46 % Vampire exiting
%------------------------------------------------------------------------------