%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN161-1 : 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 : n017.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 02:06:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.28s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of formulae : 117 ( 29 unt; 16 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 253 ( 129 ~; 108 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 17 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
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(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f231,axiom,
! [X0,X1] :
( k3(X0,X0,X0)
| ~ s1(X0)
| ~ q2(d,X1,d)
| ~ s2(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_193) ).
fof(f250,axiom,
! [X0] :
( ~ m2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_212) ).
fof(f325,axiom,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f354,axiom,
! [X2,X0,X1] :
( n5(X0,X0)
| ~ p4(X1,X0,X0)
| ~ s1(X0)
| ~ p4(b,b,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_316) ).
fof(f369,negated_conjecture,
! [X0] : ~ n5(c,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f371,definition,
( spl0_1
<=> ! [X2] : ~ p4(b,b,X2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f372,plain,
( ! [X2] : ~ p4(b,b,X2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,definition,
( spl0_2
<=> ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0,X1] :
( n5(X0,X0)
| ~ s1(X0)
| ~ p4(X1,X0,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f354,f374,f371]) ).
fof(f507,definition,
( spl0_36
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f508,plain,
( n0(c,d)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f516,definition,
( spl0_38
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f517,plain,
( m2(b)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f516]) ).
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(f647,definition,
( spl0_71
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f648,plain,
( s2(d)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f700,definition,
( spl0_84
<=> k3(c,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f702,plain,
( k3(c,c,c)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f780,definition,
( spl0_104
<=> ! [X1] :
( ~ q2(d,X1,d)
| ~ s2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f781,plain,
( ! [X1] :
( ~ s2(X1)
| ~ q2(d,X1,d) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,definition,
( spl0_105
<=> ! [X0] :
( k3(X0,X0,X0)
| ~ s1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f784,plain,
( ! [X0] :
( ~ s1(X0)
| k3(X0,X0,X0) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( spl0_104
| spl0_105 ),
inference(avatar_split_clause,[],[f231,f783,f780]) ).
fof(f796,definition,
( spl0_108
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f800,definition,
( spl0_109
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f802,plain,
( ~ s1(a)
| spl0_109 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( ~ spl0_108
| ~ spl0_109
| spl0_71 ),
inference(avatar_split_clause,[],[f228,f647,f800,f796]) ).
fof(f994,definition,
( spl0_158
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f996,plain,
( ~ k1(b)
| spl0_158 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( ~ spl0_158
| spl0_38 ),
inference(avatar_split_clause,[],[f174,f516,f994]) ).
fof(f1006,definition,
( spl0_161
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1007,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1022,definition,
( spl0_165
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1023,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1024,plain,
( spl0_45
| spl0_165 ),
inference(avatar_split_clause,[],[f164,f1022,f543]) ).
fof(f1281,plain,
spl0_36,
inference(avatar_split_clause,[],[f34,f507]) ).
fof(f1293,plain,
spl0_108,
inference(avatar_split_clause,[],[f1,f796]) ).
fof(f1321,plain,
( $false
| ~ spl0_161 ),
inference(resolution,[],[f1007,f14]) ).
fof(f1322,plain,
~ spl0_161,
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1355,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_158 ),
inference(resolution,[],[f996,f39]) ).
fof(f1357,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_45 ),
inference(resolution,[],[f163,f544]) ).
fof(f1358,plain,
( spl0_161
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1357,f543,f1006]) ).
fof(f1370,plain,
( $false
| spl0_158 ),
inference(resolution,[],[f1355,f7]) ).
fof(f1375,plain,
spl0_158,
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1381,plain,
( ! [X0] : ~ q0(a,X0)
| spl0_109
| ~ spl0_165 ),
inference(resolution,[],[f1023,f802]) ).
fof(f1388,plain,
( $false
| spl0_109
| ~ spl0_165 ),
inference(resolution,[],[f1381,f36]) ).
fof(f1391,plain,
( spl0_109
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1406,plain,
( l1(d,d)
| ~ spl0_36 ),
inference(resolution,[],[f40,f508]) ).
fof(f1468,plain,
( k3(b,b,b)
| ~ spl0_38 ),
inference(resolution,[],[f250,f517]) ).
fof(f1482,plain,
( ~ q2(d,d,d)
| ~ spl0_71
| ~ spl0_104 ),
inference(resolution,[],[f781,f648]) ).
fof(f1572,plain,
( ~ l1(d,d)
| ~ spl0_71
| ~ spl0_104 ),
inference(resolution,[],[f224,f1482]) ).
fof(f1573,plain,
( $false
| ~ spl0_36
| ~ spl0_71
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1572,f1406]) ).
fof(f1574,plain,
( ~ spl0_36
| ~ spl0_71
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1874,plain,
( ! [X0] :
( ~ s1(c)
| ~ p4(X0,c,c) )
| ~ spl0_2 ),
inference(resolution,[],[f375,f369]) ).
fof(f1876,definition,
( spl0_231
<=> ! [X0] : ~ p4(X0,c,c) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
fof(f1877,plain,
( ! [X0] : ~ p4(X0,c,c)
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1879,definition,
( spl0_232
<=> s1(c) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
fof(f1880,plain,
( s1(c)
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1881,plain,
( ~ s1(c)
| spl0_232 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1882,plain,
( spl0_231
| ~ spl0_232
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1874,f374,f1879,f1876]) ).
fof(f1883,plain,
( ! [X0] : ~ q0(c,X0)
| ~ spl0_165
| spl0_232 ),
inference(resolution,[],[f1881,f1023]) ).
fof(f1887,plain,
( $false
| ~ spl0_165
| spl0_232 ),
inference(resolution,[],[f1883,f17]) ).
fof(f1888,plain,
( ~ spl0_165
| spl0_232 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1898,plain,
( k3(c,c,c)
| ~ spl0_105
| ~ spl0_232 ),
inference(resolution,[],[f1880,f784]) ).
fof(f1899,plain,
( spl0_84
| ~ spl0_105
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f1898,f1879,f783,f700]) ).
fof(f1900,plain,
( ~ k3(c,c,c)
| ~ spl0_231 ),
inference(resolution,[],[f1877,f325]) ).
fof(f1904,plain,
( $false
| ~ spl0_84
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f1900,f702]) ).
fof(f1905,plain,
( ~ spl0_84
| ~ spl0_231 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1906,plain,
( ~ k3(b,b,b)
| ~ spl0_1 ),
inference(resolution,[],[f372,f325]) ).
fof(f1909,plain,
( $false
| ~ spl0_1
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1906,f1468]) ).
fof(f1910,plain,
( ~ spl0_1
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f1909]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f376]) ).
cnf(s47,plain,
( spl0_104
| spl0_105 ),
inference(sat_conversion,[],[f785]) ).
cnf(s49,plain,
( spl0_71
| ~ spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f803]) ).
cnf(s73,plain,
( spl0_38
| ~ spl0_158 ),
inference(sat_conversion,[],[f997]) ).
cnf(s77,plain,
( spl0_45
| spl0_165 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s121,plain,
spl0_36,
inference(sat_conversion,[],[f1281]) ).
cnf(s133,plain,
spl0_108,
inference(sat_conversion,[],[f1293]) ).
cnf(s146,plain,
~ spl0_161,
inference(sat_conversion,[],[f1322]) ).
cnf(s161,plain,
( ~ spl0_45
| spl0_161 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s167,plain,
spl0_158,
inference(sat_conversion,[],[f1375]) ).
cnf(s174,plain,
( spl0_109
| ~ spl0_165 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s203,plain,
( ~ spl0_36
| ~ spl0_71
| ~ spl0_104 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s242,plain,
( ~ spl0_2
| spl0_231
| ~ spl0_232 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s243,plain,
( ~ spl0_165
| spl0_232 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s244,plain,
( spl0_84
| ~ spl0_105
| ~ spl0_232 ),
inference(sat_conversion,[],[f1899]) ).
cnf(s245,plain,
( ~ spl0_84
| ~ spl0_231 ),
inference(sat_conversion,[],[f1905]) ).
cnf(s246,plain,
( ~ spl0_1
| ~ spl0_38 ),
inference(sat_conversion,[],[f1910]) ).
cnf(s251,plain,
~ spl0_45,
inference(rat,[],[s161,s146]) ).
cnf(s307,plain,
spl0_165,
inference(rat,[],[s77,s251]) ).
cnf(s308,plain,
spl0_232,
inference(rat,[],[s243,s307]) ).
cnf(s309,plain,
spl0_109,
inference(rat,[],[s174,s307]) ).
cnf(s317,plain,
spl0_38,
inference(rat,[],[s73,s167]) ).
cnf(s318,plain,
~ spl0_1,
inference(rat,[],[s246,s317]) ).
cnf(s338,plain,
spl0_71,
inference(rat,[],[s49,s309,s133]) ).
cnf(s339,plain,
~ spl0_104,
inference(rat,[],[s203,s121,s338]) ).
cnf(s342,plain,
spl0_105,
inference(rat,[],[s47,s339]) ).
cnf(s343,plain,
spl0_84,
inference(rat,[],[s244,s308,s342]) ).
cnf(s345,plain,
~ spl0_231,
inference(rat,[],[s245,s343]) ).
cnf(s346,plain,
~ spl0_2,
inference(rat,[],[s242,s308,s345]) ).
cnf(s367,plain,
$false,
inference(rat,[],[s1,s346,s318]) ).
fof(f1911,plain,
$false,
inference(avatar_sat_refutation,[],[s367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN161-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.18 % Computer : n017.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Mon Sep 28 15:32:36 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.22 Running first-order model finding
% 0.13/0.22 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
% 0.13/0.28 % (3642128)Will run a generic schedule for satisfiability detection.
% 0.13/0.28 % (3642137)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1387690936:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.28 % (3642134)% WARNING: option uhcvi not known.
% 0.13/0.28 % (3642133)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3588486615_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.28 % (3642134)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=898356053:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.28 % (3642135)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1989596631:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.28 % (3642136)dis+10_1_sil=32000:sp=arity:random_seed=1932176215:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.28 % (3642139)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=849065354:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.28 % (3642137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3642128-3642137"...
% 0.13/0.28 % (3642137)...printing done.
% 0.13/0.28 % (3642137)Refutation found. Thanks to Tanya!
% 0.13/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.28 % (3642137)------------------------------
% 0.13/0.28 % (3642137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.28 % (3642137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.28 % (3642137)CaDiCaL version: 2.1.3
% 0.13/0.28 % (3642137)Termination reason: Refutation
% 0.13/0.28 % (3642137)Time elapsed: 0.016 s
% 0.13/0.28 % (3642137)Peak memory usage: 13 MB
% 0.13/0.28 % (3642137)Instructions burned: 44 (million)
% 0.13/0.28 % (3642128)Success in time 0.056 s
% 0.13/0.28 % Vampire exiting
%------------------------------------------------------------------------------