%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN300-1 : 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 : n005.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 02:07:14 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.34s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 17 unt; 4 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 82 ( 42 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_066) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f219,axiom,
! [X0] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( s3(X0,X1)
| ~ q2(X2,X0,X2)
| ~ s2(X0)
| ~ m0(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
~ s3(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f376,plain,
! [X0] : ~ p0(b,X0),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f379,plain,
! [X0,X1] : ~ m0(X0,d,X1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f490,plain,
! [X0] :
( p0(X0,X0)
| ~ s1(X0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f542,plain,
! [X0] :
( ~ s2(X0)
| ~ q2(b,X0,b)
| s1(b) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f615,plain,
! [X2,X3,X0,X1] :
( ~ s3(X0,X1)
| ~ q2(X2,X0,X2)
| s2(X0)
| m0(X2,X3,X1) ),
inference(consistent_polarity_flipping,[],[f311]) ).
fof(f652,plain,
s3(b,d),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1168,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1172,definition,
( spl0_131
<=> ! [X0] :
( ~ s2(X0)
| ~ q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1173,plain,
( ! [X0] :
( ~ q2(b,X0,b)
| ~ s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f542,f1172,f1168]) ).
fof(f1943,plain,
~ s1(b),
inference(resolution,[],[f490,f376]) ).
fof(f1946,plain,
~ spl0_130,
inference(avatar_split_clause,[],[f1943,f1168]) ).
fof(f2045,plain,
p1(b,b,b),
inference(resolution,[],[f104,f7]) ).
fof(f2066,definition,
( spl0_294
<=> s2(b) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
fof(f2068,plain,
( ~ s2(b)
| spl0_294 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2162,plain,
( ~ p1(b,b,b)
| ~ s2(b)
| ~ spl0_131 ),
inference(resolution,[],[f219,f1173]) ).
fof(f2972,plain,
( ~ s2(b)
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2162,f2045]) ).
fof(f2979,plain,
( ~ spl0_294
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2972,f1172,f2066]) ).
fof(f3256,plain,
! [X0,X1] :
( ~ q2(X0,b,X0)
| s2(b)
| m0(X0,X1,d) ),
inference(resolution,[],[f615,f652]) ).
fof(f3266,plain,
( ! [X0,X1] :
( ~ q2(X0,b,X0)
| m0(X0,X1,d) )
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f3256,f2068]) ).
fof(f3269,plain,
( ! [X0] :
( m0(b,X0,d)
| ~ p1(b,b,b) )
| spl0_294 ),
inference(resolution,[],[f3266,f219]) ).
fof(f3270,plain,
( ! [X0] : m0(b,X0,d)
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f3269,f2045]) ).
fof(f3272,definition,
( spl0_380
<=> ! [X0] : m0(b,X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
fof(f3273,plain,
( ! [X0] : m0(b,X0,d)
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f3276,plain,
( spl0_380
| spl0_294 ),
inference(avatar_split_clause,[],[f3270,f2066,f3272]) ).
fof(f3333,plain,
( $false
| ~ spl0_380 ),
inference(resolution,[],[f3273,f379]) ).
fof(f3334,plain,
~ spl0_380,
inference(avatar_contradiction_clause,[],[f3333]) ).
cnf(s60,plain,
( spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s214,plain,
~ spl0_130,
inference(sat_conversion,[],[f1946]) ).
cnf(s352,plain,
( ~ spl0_131
| ~ spl0_294 ),
inference(sat_conversion,[],[f2979]) ).
cnf(s387,plain,
( spl0_294
| spl0_380 ),
inference(sat_conversion,[],[f3276]) ).
cnf(s392,plain,
~ spl0_380,
inference(sat_conversion,[],[f3334]) ).
cnf(s394,plain,
spl0_294,
inference(rat,[],[s387,s392]) ).
cnf(s397,plain,
~ spl0_131,
inference(rat,[],[s352,s394]) ).
cnf(s504,plain,
$false,
inference(rat,[],[s60,s397,s214]) ).
fof(f3335,plain,
$false,
inference(avatar_sat_refutation,[],[s504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN300-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n005.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 15:40:17 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 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
% 0.27/0.34 % (886765)Will run a generic schedule for satisfiability detection.
% 0.27/0.34 % (886771)% WARNING: option uhcvi not known.
% 0.27/0.34 % (886771)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1410877166:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.34 % (886770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3938515127_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.34 % (886773)dis+10_1_sil=32000:sp=arity:random_seed=3132587313:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.34 % (886774)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2314397894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.34 % (886772)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=58149978:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.34 % (886775)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2339540134:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.27/0.34 % (886776)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3470880739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.34 % (886771) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-886765-886771"...
% 0.27/0.34 % (886771)...printing done.
% 0.27/0.34 % (886771)Refutation found. Thanks to Tanya!
% 0.27/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.27/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.35 % (886771)------------------------------
% 0.27/0.35 % (886771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.35 % (886771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.35 % (886771)CaDiCaL version: 2.1.3
% 0.27/0.35 % (886771)Termination reason: Refutation
% 0.27/0.35 % (886771)Time elapsed: 0.029 s
% 0.27/0.35 % (886771)Peak memory usage: 14 MB
% 0.27/0.35 % (886771)Instructions burned: 54 (million)
% 0.27/0.35 % (886765)Success in time 0.06 s
% 0.27/0.35 % Vampire exiting
%------------------------------------------------------------------------------