%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN195-1 : 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 : n009.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 02:06:59 PM UTC 2026
% Result : Unsatisfiable 0.34s 0.45s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of formulae : 89 ( 24 unt; 11 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 201 ( 98 ~; 92 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 12 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
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(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,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(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f278,axiom,
! [X2,X0,X1] :
( n3(X0)
| ~ p2(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f284,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_246) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( s4(X0)
| ~ p3(X1,X2,X3)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f365,axiom,
! [X0,X1] :
( r5(X0,X1)
| ~ s4(X0)
| ~ k0(b)
| ~ n3(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_327) ).
fof(f369,negated_conjecture,
~ r5(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f371,definition,
( spl0_1
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f375,definition,
( spl0_2
<=> ! [X0,X1] :
( r5(X0,X1)
| ~ n3(X1)
| ~ s4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f376,plain,
( ! [X0,X1] :
( r5(X0,X1)
| ~ n3(X1)
| ~ s4(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f365,f375,f371]) ).
fof(f515,definition,
( spl0_38
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f516,plain,
( n0(c,d)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f551,definition,
( spl0_47
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f552,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f647,definition,
( spl0_71
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f648,plain,
( r0(b)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f795,definition,
( spl0_108
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f796,plain,
( s1(d)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( ~ s1(d)
| spl0_108 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1010,definition,
( spl0_162
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1011,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1013,definition,
( spl0_163
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1014,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1015,plain,
( spl0_162
| spl0_163 ),
inference(avatar_split_clause,[],[f171,f1013,f1010]) ).
fof(f1026,definition,
( spl0_166
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1027,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f1028,plain,
( spl0_47
| spl0_166 ),
inference(avatar_split_clause,[],[f164,f1026,f551]) ).
fof(f1285,plain,
spl0_38,
inference(avatar_split_clause,[],[f34,f515]) ).
fof(f1286,plain,
spl0_1,
inference(avatar_split_clause,[],[f32,f371]) ).
fof(f1294,plain,
spl0_71,
inference(avatar_split_clause,[],[f9,f647]) ).
fof(f1325,plain,
( $false
| ~ spl0_162 ),
inference(resolution,[],[f1011,f14]) ).
fof(f1326,plain,
~ spl0_162,
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1361,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_47 ),
inference(resolution,[],[f163,f552]) ).
fof(f1362,plain,
( spl0_162
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1361,f551,f1010]) ).
fof(f1385,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_108
| ~ spl0_166 ),
inference(resolution,[],[f1027,f797]) ).
fof(f1389,plain,
( $false
| spl0_108
| ~ spl0_166 ),
inference(resolution,[],[f1385,f29]) ).
fof(f1394,plain,
( spl0_108
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1411,plain,
( l1(d,d)
| ~ spl0_38 ),
inference(resolution,[],[f40,f516]) ).
fof(f1591,plain,
( ~ n3(d)
| ~ s4(d)
| ~ spl0_2 ),
inference(resolution,[],[f376,f369]) ).
fof(f1846,plain,
( ! [X0,X1] :
( ~ p0(X0,X1)
| m1(b,X1,b) )
| ~ spl0_71 ),
inference(resolution,[],[f45,f648]) ).
fof(f1848,plain,
( ! [X0] : m1(b,X0,b)
| ~ spl0_71 ),
inference(resolution,[],[f1846,f14]) ).
fof(f1854,plain,
( ! [X0] : p2(X0,b,X0)
| ~ spl0_71 ),
inference(resolution,[],[f1848,f214]) ).
fof(f1903,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_108
| ~ spl0_163 ),
inference(resolution,[],[f1014,f796]) ).
fof(f1906,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_108
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f1903,f19]) ).
fof(f2021,definition,
( spl0_238
<=> s4(d) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
fof(f2023,plain,
( ~ s4(d)
| spl0_238 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f2025,definition,
( spl0_239
<=> n3(d) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
fof(f2027,plain,
( ~ n3(d)
| spl0_239 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2028,plain,
( ~ spl0_238
| ~ spl0_239
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1591,f375,f2025,f2021]) ).
fof(f2030,plain,
( ! [X2,X0,X1] :
( ~ p3(X0,X1,X2)
| ~ l1(d,X1) )
| spl0_238 ),
inference(resolution,[],[f2023,f337]) ).
fof(f2035,plain,
( ! [X0] :
( ~ l1(d,X0)
| ~ l2(X0,X0) )
| spl0_238 ),
inference(resolution,[],[f2030,f284]) ).
fof(f2036,plain,
( ! [X0] : ~ l1(d,X0)
| ~ spl0_108
| ~ spl0_163
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f2035,f1906]) ).
fof(f2043,plain,
( $false
| ~ spl0_38
| ~ spl0_108
| ~ spl0_163
| spl0_238 ),
inference(resolution,[],[f2036,f1411]) ).
fof(f2044,plain,
( ~ spl0_38
| ~ spl0_108
| ~ spl0_163
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2045,plain,
( ! [X0,X1] : ~ p2(X0,X1,d)
| spl0_239 ),
inference(resolution,[],[f2027,f278]) ).
fof(f2049,plain,
( $false
| ~ spl0_71
| spl0_239 ),
inference(resolution,[],[f2045,f1854]) ).
fof(f2052,plain,
( ~ spl0_71
| spl0_239 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f377]) ).
cnf(s76,plain,
( spl0_162
| spl0_163 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s78,plain,
( spl0_47
| spl0_166 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s122,plain,
spl0_38,
inference(sat_conversion,[],[f1285]) ).
cnf(s123,plain,
spl0_1,
inference(sat_conversion,[],[f1286]) ).
cnf(s131,plain,
spl0_71,
inference(sat_conversion,[],[f1294]) ).
cnf(s147,plain,
~ spl0_162,
inference(sat_conversion,[],[f1326]) ).
cnf(s162,plain,
( ~ spl0_47
| spl0_162 ),
inference(sat_conversion,[],[f1362]) ).
cnf(s173,plain,
( spl0_108
| ~ spl0_166 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s252,plain,
( ~ spl0_2
| ~ spl0_238
| ~ spl0_239 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s253,plain,
( ~ spl0_38
| ~ spl0_108
| ~ spl0_163
| spl0_238 ),
inference(sat_conversion,[],[f2044]) ).
cnf(s255,plain,
( ~ spl0_71
| spl0_239 ),
inference(sat_conversion,[],[f2052]) ).
cnf(s262,plain,
~ spl0_47,
inference(rat,[],[s162,s147]) ).
cnf(s265,plain,
spl0_239,
inference(rat,[],[s255,s131]) ).
cnf(s319,plain,
spl0_166,
inference(rat,[],[s78,s262]) ).
cnf(s321,plain,
spl0_108,
inference(rat,[],[s173,s319]) ).
cnf(s324,plain,
spl0_163,
inference(rat,[],[s76,s147]) ).
cnf(s325,plain,
spl0_238,
inference(rat,[],[s253,s321,s122,s324]) ).
cnf(s330,plain,
~ spl0_2,
inference(rat,[],[s252,s265,s325]) ).
cnf(s386,plain,
$false,
inference(rat,[],[s1,s330,s123]) ).
fof(f2055,plain,
$false,
inference(avatar_sat_refutation,[],[s386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n009.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 15:38:00 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.35 Running first-order model finding
% 0.30/0.35 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
% 0.34/0.45 % (3163326)Will run a generic schedule for satisfiability detection.
% 0.34/0.45 % (3163335)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2461260660:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.45 % (3163332)% WARNING: option uhcvi not known.
% 0.34/0.45 % (3163331)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=749890575_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.45 % (3163333)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1311864317:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.45 % (3163332)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=168476229:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.45 % (3163337)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=555203949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.45 % (3163336)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1447088489:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.45 % (3163334)dis+10_1_sil=32000:sp=arity:random_seed=812803112:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.45 % (3163335) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3163326-3163335"...
% 0.34/0.45 % (3163335)...printing done.
% 0.34/0.45 % (3163335)Refutation found. Thanks to Tanya!
% 0.34/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.34/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.45 % (3163335)------------------------------
% 0.34/0.45 % (3163335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.45 % (3163335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.45 % (3163335)CaDiCaL version: 2.1.3
% 0.34/0.45 % (3163335)Termination reason: Refutation
% 0.34/0.45 % (3163335)Time elapsed: 0.026 s
% 0.34/0.45 % (3163335)Peak memory usage: 13 MB
% 0.34/0.45 % (3163335)Instructions burned: 47 (million)
% 0.34/0.45 % (3163326)Success in time 0.082 s
% 0.34/0.45 % Vampire exiting
%------------------------------------------------------------------------------