%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN167-1 : 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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 13 unt; 4 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f369,negated_conjecture,
! [X0] : ~ p1(d,X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f889,definition,
( spl0_131
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1166,definition,
( spl0_200
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
fof(f1277,definition,
( spl0_227
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
fof(f1278,plain,
( ! [X0] :
( ~ k1(X0)
| p1(X0,X0,X0) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1279,plain,
( ~ spl0_131
| ~ spl0_200
| spl0_227 ),
inference(avatar_split_clause,[],[f117,f1277,f1166,f889]) ).
fof(f1488,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1490,plain,
spl0_200,
inference(avatar_split_clause,[],[f28,f1166]) ).
fof(f1492,plain,
spl0_131,
inference(avatar_split_clause,[],[f24,f889]) ).
fof(f1550,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f560]) ).
fof(f1730,plain,
( p1(d,d,d)
| ~ spl0_49
| ~ spl0_227 ),
inference(resolution,[],[f1278,f1550]) ).
fof(f1735,plain,
( $false
| ~ spl0_49
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f1730,f369]) ).
fof(f1736,plain,
( ~ spl0_49
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f1735]) ).
cnf(s111,plain,
( ~ spl0_131
| ~ spl0_200
| spl0_227 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s143,plain,
spl0_49,
inference(sat_conversion,[],[f1488]) ).
cnf(s145,plain,
spl0_200,
inference(sat_conversion,[],[f1490]) ).
cnf(s147,plain,
spl0_131,
inference(sat_conversion,[],[f1492]) ).
cnf(s229,plain,
( ~ spl0_49
| ~ spl0_227 ),
inference(sat_conversion,[],[f1736]) ).
cnf(s241,plain,
~ spl0_227,
inference(rat,[],[s229,s143]) ).
cnf(s264,plain,
$false,
inference(rat,[],[s111,s241,s145,s147]) ).
fof(f1737,plain,
$false,
inference(avatar_sat_refutation,[],[s264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN167-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:37:22 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (471517)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (471527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1720708339:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (471523)% WARNING: option uhcvi not known.
% 0.09/0.25 % (471527) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-471517-471527"...
% 0.09/0.25 % (471525)dis+10_1_sil=32000:sp=arity:random_seed=3852149042:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (471522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3498223186_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (471523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3190167838:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (471526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3939210133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (471524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=542803391:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (471527)...printing done.
% 0.09/0.25 % (471528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1329266858:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (471527)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (471527)------------------------------
% 0.09/0.26 % (471527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (471527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (471527)CaDiCaL version: 2.1.3
% 0.09/0.26 % (471527)Termination reason: Refutation
% 0.09/0.26 % (471527)Time elapsed: 0.007 s
% 0.09/0.26 % (471527)Peak memory usage: 13 MB
% 0.09/0.26 % (471527)Instructions burned: 18 (million)
% 0.09/0.26 % (471517)Success in time 0.03 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------