%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN229-1 : 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 : n001.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 02:07:04 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.37s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 20 unt; 8 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 105 ( 52 ~; 45 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f258,axiom,
! [X0,X1] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_220) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f595,definition,
( spl0_58
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f596,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f711,definition,
( spl0_87
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f712,plain,
( s2(d)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f734,definition,
( spl0_92
<=> ! [X1] : ~ s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f735,plain,
( ! [X1] : ~ s2(X1)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f737,definition,
( spl0_93
<=> ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f738,plain,
( ! [X0] :
( ~ l1(X0,X0)
| l3(X0,X0) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f739,plain,
( spl0_92
| spl0_93 ),
inference(avatar_split_clause,[],[f258,f737,f734]) ).
fof(f857,definition,
( spl0_123
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f861,definition,
( spl0_124
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f863,plain,
( ~ s1(a)
| spl0_124 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f864,plain,
( ~ spl0_123
| ~ spl0_124
| spl0_87 ),
inference(avatar_split_clause,[],[f228,f711,f861,f857]) ).
fof(f1129,definition,
( spl0_191
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1130,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1131,plain,
( spl0_58
| spl0_191 ),
inference(avatar_split_clause,[],[f164,f1129,f595]) ).
fof(f1461,definition,
( spl0_271
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f1462,plain,
( l1(c,c)
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1463,plain,
( ~ l1(c,c)
| spl0_271 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f1493,plain,
spl0_123,
inference(avatar_split_clause,[],[f1,f857]) ).
fof(f1570,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1571,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1570,f596]) ).
fof(f1572,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1580,plain,
( s1(a)
| ~ spl0_191 ),
inference(resolution,[],[f1130,f36]) ).
fof(f1583,plain,
( $false
| spl0_124
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f1580,f863]) ).
fof(f1584,plain,
( spl0_124
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
fof(f1586,plain,
( $false
| ~ spl0_87
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f712,f735]) ).
fof(f1587,plain,
( ~ spl0_87
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1597,plain,
l1(c,c),
inference(resolution,[],[f40,f26]) ).
fof(f1621,plain,
( $false
| spl0_271 ),
inference(forward_subsumption_resolution,[],[f1597,f1463]) ).
fof(f1622,plain,
spl0_271,
inference(avatar_contradiction_clause,[],[f1621]) ).
fof(f1698,plain,
( l3(c,c)
| ~ spl0_93
| ~ spl0_271 ),
inference(resolution,[],[f738,f1462]) ).
fof(f1699,plain,
( $false
| ~ spl0_93
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f1698,f369]) ).
fof(f1700,plain,
( ~ spl0_93
| ~ spl0_271 ),
inference(avatar_contradiction_clause,[],[f1699]) ).
cnf(s40,plain,
( spl0_92
| spl0_93 ),
inference(sat_conversion,[],[f739]) ).
cnf(s56,plain,
( spl0_87
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f864]) ).
cnf(s87,plain,
( spl0_58
| spl0_191 ),
inference(sat_conversion,[],[f1131]) ).
cnf(s155,plain,
spl0_123,
inference(sat_conversion,[],[f1493]) ).
cnf(s188,plain,
~ spl0_58,
inference(sat_conversion,[],[f1572]) ).
cnf(s190,plain,
( spl0_124
| ~ spl0_191 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s193,plain,
( ~ spl0_87
| ~ spl0_92 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s205,plain,
spl0_271,
inference(sat_conversion,[],[f1622]) ).
cnf(s225,plain,
( ~ spl0_93
| ~ spl0_271 ),
inference(sat_conversion,[],[f1700]) ).
cnf(s227,plain,
~ spl0_93,
inference(rat,[],[s225,s205]) ).
cnf(s288,plain,
spl0_191,
inference(rat,[],[s87,s188]) ).
cnf(s291,plain,
spl0_124,
inference(rat,[],[s190,s288]) ).
cnf(s314,plain,
spl0_87,
inference(rat,[],[s56,s291,s155]) ).
cnf(s316,plain,
~ spl0_92,
inference(rat,[],[s193,s314]) ).
cnf(s323,plain,
$false,
inference(rat,[],[s40,s227,s316]) ).
fof(f1702,plain,
$false,
inference(avatar_sat_refutation,[],[s323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN229-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.29 % Computer : n001.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8046.5625MB
% 0.10/0.29 % OS : Linux 6.8.0-71-generic
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Sep 28 15:44:48 UTC 2026
% 0.25/0.30 % CPUTime :
% 0.25/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.33 Running first-order model finding
% 0.25/0.33 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
% 0.25/0.37 % (442943)Will run a generic schedule for satisfiability detection.
% 0.25/0.37 % (442953)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3352473747:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.37 % (442949)% WARNING: option uhcvi not known.
% 0.25/0.37 % (442948)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2122323243_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.37 % (442953) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-442943-442953"...
% 0.25/0.37 % (442949)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1607400897:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.37 % (442950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1877052784:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.37 % (442951)dis+10_1_sil=32000:sp=arity:random_seed=2176768557:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.37 % (442952)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3787178860:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.37 % (442954)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=656294860:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.37 % (442953)...printing done.
% 0.25/0.37 % (442953)Refutation found. Thanks to Tanya!
% 0.25/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.37 % (442953)------------------------------
% 0.25/0.37 % (442953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.37 % (442953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.37 % (442953)CaDiCaL version: 2.1.3
% 0.25/0.37 % (442953)Termination reason: Refutation
% 0.25/0.37 % (442953)Time elapsed: 0.007 s
% 0.25/0.37 % (442953)Peak memory usage: 13 MB
% 0.25/0.37 % (442953)Instructions burned: 18 (million)
% 0.25/0.37 % (442943)Success in time 0.038 s
% 0.25/0.37 % Vampire exiting
%------------------------------------------------------------------------------