%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN213-1 : 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 : n014.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 02:07:02 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 125 ( 29 unt; 14 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 266 ( 133 ~; 119 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 15 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 92 ( 0 sgn 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
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(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f74,axiom,
! [X0,X1] :
( n1(X0,X0,X1)
| ~ m0(b,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_036) ).
fof(f107,axiom,
! [X0,X1] :
( p1(X0,X0,X1)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_069) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_159) ).
fof(f223,axiom,
! [X2,X0,X1] :
( q2(X0,X0,X0)
| ~ n1(X1,d,X2)
| ~ k1(X0)
| ~ q2(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_185) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( n3(X0)
| ~ p2(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f293,axiom,
! [X2,X0,X1] :
( q3(X0,X1)
| ~ q2(X2,X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f315,axiom,
! [X2,X0,X1] :
( l4(X0)
| ~ p3(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
fof(f367,axiom,
! [X0,X1] :
( s5(X0)
| ~ l4(X0)
| ~ r4(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_329) ).
fof(f369,negated_conjecture,
~ s5(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f381,plain,
! [X0,X1] : ~ m0(X0,d,X1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f424,plain,
! [X0,X1] :
( m0(b,X1,X0)
| n1(X0,X0,X1) ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f523,plain,
! [X2,X0,X1] :
( ~ q2(X0,X0,X0)
| ~ n1(X1,d,X2)
| ~ k1(X0)
| q2(X2,X2,X1) ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f524,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| ~ l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f574,plain,
! [X2,X0,X1] :
( q3(X0,X1)
| q2(X2,X0,X1)
| ~ n0(X2,X0) ),
inference(consistent_polarity_flipping,[],[f293]) ).
fof(f592,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| ~ l4(X0) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f607,plain,
! [X2,X3,X0,X1] :
( ~ r4(X0)
| ~ n3(X0)
| ~ q3(X1,X2)
| ~ p0(X3,X0) ),
inference(consistent_polarity_flipping,[],[f336]) ).
fof(f626,plain,
! [X0,X1] :
( s5(X0)
| l4(X0)
| r4(X1) ),
inference(consistent_polarity_flipping,[],[f367]) ).
fof(f636,definition,
( spl0_3
<=> ! [X1] : r4(X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f637,plain,
( ! [X1] : r4(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,definition,
( spl0_4
<=> ! [X0] :
( s5(X0)
| l4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f640,plain,
( ! [X0] :
( s5(X0)
| l4(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f626,f639,f636]) ).
fof(f718,definition,
( spl0_24
<=> ! [X2,X1] : ~ q3(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f719,plain,
( ! [X2,X1] : ~ q3(X1,X2)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f721,definition,
( spl0_25
<=> ! [X0,X3] :
( ~ r4(X0)
| ~ p0(X3,X0)
| ~ n3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f722,plain,
( ! [X3,X0] :
( ~ p0(X3,X0)
| ~ r4(X0)
| ~ n3(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f723,plain,
( spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f607,f721,f718]) ).
fof(f745,definition,
( spl0_31
<=> n3(a) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f746,plain,
( n3(a)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f747,plain,
( ~ n3(a)
| spl0_31 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f817,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f818,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1140,definition,
( spl0_129
<=> ! [X2,X1] :
( ~ n1(X1,d,X2)
| q2(X2,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1141,plain,
( ! [X2,X1] :
( q2(X2,X2,X1)
| ~ n1(X1,d,X2) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1143,definition,
( spl0_130
<=> ! [X0] :
( ~ q2(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1144,plain,
( ! [X0] :
( ~ q2(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1145,plain,
( spl0_129
| spl0_130 ),
inference(avatar_split_clause,[],[f523,f1143,f1140]) ).
fof(f1172,definition,
( spl0_137
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1174,plain,
( ~ k1(e)
| spl0_137 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1416,definition,
( spl0_198
<=> p0(b,d) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1418,plain,
( ~ p0(b,d)
| spl0_198 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1547,definition,
( spl0_230
<=> p1(d,d,b) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f1548,plain,
( ~ p1(d,d,b)
| spl0_230 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1549,plain,
( p1(d,d,b)
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1655,definition,
( spl0_256
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
fof(f1657,plain,
( ~ k1(a)
| spl0_256 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1746,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f817]) ).
fof(f1786,plain,
( $false
| spl0_198 ),
inference(resolution,[],[f1418,f14]) ).
fof(f1787,plain,
spl0_198,
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1805,plain,
( ! [X0] : ~ n0(X0,e)
| spl0_137 ),
inference(resolution,[],[f39,f1174]) ).
fof(f1806,plain,
( ! [X0] : ~ n0(X0,a)
| spl0_256 ),
inference(resolution,[],[f39,f1657]) ).
fof(f1809,plain,
( $false
| spl0_137 ),
inference(resolution,[],[f1805,f3]) ).
fof(f1812,plain,
spl0_137,
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1813,plain,
( $false
| spl0_256 ),
inference(resolution,[],[f1806,f37]) ).
fof(f1814,plain,
spl0_256,
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1899,plain,
( ! [X0,X1] : ~ p2(X0,X1,a)
| spl0_31 ),
inference(resolution,[],[f278,f747]) ).
fof(f1901,plain,
( ~ k1(a)
| spl0_31 ),
inference(resolution,[],[f1899,f197]) ).
fof(f1904,plain,
( ~ spl0_256
| spl0_31 ),
inference(avatar_split_clause,[],[f1901,f745,f1655]) ).
fof(f1923,plain,
! [X0] :
( ~ l4(X0)
| ~ n2(X0) ),
inference(resolution,[],[f592,f282]) ).
fof(f1968,plain,
( ~ p0(b,d)
| spl0_230 ),
inference(resolution,[],[f107,f1548]) ).
fof(f1970,plain,
( ~ spl0_198
| spl0_230 ),
inference(avatar_split_clause,[],[f1968,f1547,f1416]) ).
fof(f2019,definition,
( spl0_278
<=> l1(d,d) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
fof(f2021,plain,
( ~ l1(d,d)
| spl0_278 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2024,plain,
( ! [X0] : ~ n0(X0,d)
| spl0_278 ),
inference(resolution,[],[f2021,f40]) ).
fof(f2026,plain,
( $false
| ~ spl0_49
| spl0_278 ),
inference(resolution,[],[f2024,f818]) ).
fof(f2027,plain,
( ~ spl0_49
| spl0_278 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2125,plain,
! [X0] : n1(X0,X0,d),
inference(resolution,[],[f424,f381]) ).
fof(f2198,definition,
( spl0_279
<=> n2(b) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
fof(f2200,plain,
( ~ n2(b)
| spl0_279 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2207,plain,
( ! [X0,X1] : ~ p1(X0,X1,b)
| spl0_279 ),
inference(resolution,[],[f2200,f175]) ).
fof(f2216,plain,
( $false
| ~ spl0_230
| spl0_279 ),
inference(resolution,[],[f2207,f1549]) ).
fof(f2219,plain,
( ~ spl0_230
| spl0_279 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2522,plain,
( ! [X0,X1] :
( ~ n1(X0,d,X1)
| ~ l1(X0,X1) )
| ~ spl0_129 ),
inference(resolution,[],[f1141,f524]) ).
fof(f2526,plain,
( ~ l1(d,d)
| ~ spl0_129 ),
inference(resolution,[],[f2522,f2125]) ).
fof(f2534,plain,
( ~ spl0_278
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2526,f1140,f2019]) ).
fof(f2818,plain,
( ! [X2,X0,X1] :
( q2(X0,X1,X2)
| ~ n0(X0,X1) )
| ~ spl0_24 ),
inference(resolution,[],[f574,f719]) ).
fof(f2822,plain,
( ! [X0] :
( ~ n0(X0,X0)
| ~ k1(X0) )
| ~ spl0_24
| ~ spl0_130 ),
inference(resolution,[],[f2818,f1144]) ).
fof(f2832,plain,
( ! [X0] :
( ~ r4(X0)
| ~ n3(X0) )
| ~ spl0_25 ),
inference(resolution,[],[f722,f14]) ).
fof(f2846,plain,
( ! [X0] : ~ n3(X0)
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[],[f2832,f637]) ).
fof(f2848,plain,
( $false
| ~ spl0_3
| ~ spl0_25
| ~ spl0_31 ),
inference(resolution,[],[f2846,f746]) ).
fof(f2851,plain,
( ~ spl0_3
| ~ spl0_25
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f2848]) ).
fof(f2873,plain,
( ~ k1(e)
| ~ spl0_24
| ~ spl0_130 ),
inference(resolution,[],[f2822,f30]) ).
fof(f2874,plain,
( ~ spl0_137
| ~ spl0_24
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2873,f1143,f718,f1172]) ).
fof(f2877,plain,
( l4(b)
| ~ spl0_4 ),
inference(resolution,[],[f640,f369]) ).
fof(f2882,plain,
( ~ n2(b)
| ~ spl0_4 ),
inference(resolution,[],[f2877,f1923]) ).
fof(f2884,plain,
( ~ spl0_279
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2882,f639,f2198]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f641]) ).
cnf(s11,plain,
( spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f723]) ).
cnf(s59,plain,
( spl0_129
| spl0_130 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s143,plain,
spl0_49,
inference(sat_conversion,[],[f1746]) ).
cnf(s170,plain,
spl0_198,
inference(sat_conversion,[],[f1787]) ).
cnf(s180,plain,
spl0_137,
inference(sat_conversion,[],[f1812]) ).
cnf(s181,plain,
spl0_256,
inference(sat_conversion,[],[f1814]) ).
cnf(s218,plain,
( spl0_31
| ~ spl0_256 ),
inference(sat_conversion,[],[f1904]) ).
cnf(s239,plain,
( ~ spl0_198
| spl0_230 ),
inference(sat_conversion,[],[f1970]) ).
cnf(s243,plain,
( ~ spl0_49
| spl0_278 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s282,plain,
( ~ spl0_230
| spl0_279 ),
inference(sat_conversion,[],[f2219]) ).
cnf(s319,plain,
( ~ spl0_129
| ~ spl0_278 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s347,plain,
( ~ spl0_3
| ~ spl0_25
| ~ spl0_31 ),
inference(sat_conversion,[],[f2851]) ).
cnf(s351,plain,
( ~ spl0_24
| ~ spl0_130
| ~ spl0_137 ),
inference(sat_conversion,[],[f2874]) ).
cnf(s353,plain,
( ~ spl0_4
| ~ spl0_279 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s363,plain,
spl0_31,
inference(rat,[],[s218,s181]) ).
cnf(s368,plain,
spl0_230,
inference(rat,[],[s239,s170]) ).
cnf(s369,plain,
spl0_279,
inference(rat,[],[s282,s368]) ).
cnf(s370,plain,
~ spl0_4,
inference(rat,[],[s353,s369]) ).
cnf(s388,plain,
spl0_278,
inference(rat,[],[s243,s143]) ).
cnf(s389,plain,
~ spl0_129,
inference(rat,[],[s319,s388]) ).
cnf(s470,plain,
spl0_130,
inference(rat,[],[s59,s389]) ).
cnf(s471,plain,
~ spl0_24,
inference(rat,[],[s351,s180,s470]) ).
cnf(s500,plain,
spl0_25,
inference(rat,[],[s11,s471]) ).
cnf(s501,plain,
~ spl0_3,
inference(rat,[],[s347,s363,s500]) ).
cnf(s509,plain,
$false,
inference(rat,[],[s2,s370,s501]) ).
fof(f2887,plain,
$false,
inference(avatar_sat_refutation,[],[s509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n014.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 15:38:01 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.24/0.33 % (1862237)Will run a generic schedule for satisfiability detection.
% 0.24/0.33 % (1862259)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=671917436:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.33 % (1862254)% WARNING: option uhcvi not known.
% 0.24/0.33 % (1862253)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3965845786_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.33 % (1862254)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2531250122:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.33 % (1862255)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2959786933:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.33 % (1862256)dis+10_1_sil=32000:sp=arity:random_seed=3866698319:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.33 % (1862258)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1296681048:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.33 % (1862257)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2248188938:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.33 % (1862259) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1862237-1862259"...
% 0.24/0.33 % (1862259)...printing done.
% 0.24/0.33 % (1862259)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.34 % (1862259)------------------------------
% 0.24/0.34 % (1862259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (1862259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (1862259)CaDiCaL version: 2.1.3
% 0.24/0.34 % (1862259)Termination reason: Refutation
% 0.24/0.34 % (1862259)Time elapsed: 0.020 s
% 0.24/0.34 % (1862259)Peak memory usage: 13 MB
% 0.24/0.34 % (1862259)Instructions burned: 51 (million)
% 0.24/0.34 % (1862237)Success in time 0.056 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------