%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:49:51 PM UTC 2026
% Result : Unsatisfiable 3.17s 1.42s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 107 ( 30 unt; 14 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 302 ( 149 ~; 139 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 15 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f88,axiom,
! [X0,X1] :
( n1(X0,X1,X0)
| ~ s0(b)
| ~ l0(X0)
| ~ p0(b,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f221,axiom,
! [X0,X1] :
( q2(X0,c,X1)
| ~ k1(X1)
| ~ l0(c)
| ~ l2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_183) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).
fof(f293,axiom,
! [X2,X0,X1] :
( q3(X0,X1)
| ~ q2(X2,X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f295,axiom,
! [X2,X0,X1] :
( ~ s2(X0)
| ~ n1(X2,X0,X1)
| q3(X0,X1)
| ~ q3(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_257) ).
fof(f369,negated_conjecture,
! [X0] : ~ q3(d,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f725,definition,
( spl0_91
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f726,plain,
( s2(d)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f867,definition,
( spl0_126
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f868,plain,
( s1(d)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( ~ s1(d)
| spl0_126 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f880,definition,
( spl0_129
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f882,plain,
( ~ s1(a)
| spl0_129 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f883,plain,
( ~ spl0_128
| ~ spl0_129
| spl0_91 ),
inference(avatar_split_clause,[],[f228,f725,f880,f876]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f904,definition,
( spl0_135
<=> ! [X0,X1] :
( q2(X0,c,X1)
| ~ l2(X1,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f905,plain,
( ! [X0,X1] :
( ~ l2(X1,X0)
| q2(X0,c,X1)
| ~ k1(X1) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f906,plain,
( ~ spl0_134
| spl0_135 ),
inference(avatar_split_clause,[],[f221,f904,f900]) ).
fof(f1033,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1034,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1035,plain,
( ~ k1(d)
| spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,definition,
( spl0_195
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1145,plain,
( ! [X2,X3,X0] :
( ~ s1(X2)
| l2(X0,X0)
| ~ m0(X3,X2,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( spl0_194
| spl0_195 ),
inference(avatar_split_clause,[],[f171,f1144,f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1419,definition,
( spl0_261
<=> ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
fof(f1420,plain,
( ! [X0,X1] :
( n1(X0,X1,X0)
| ~ p0(b,X1)
| ~ l0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1421,plain,
( ~ spl0_201
| spl0_261 ),
inference(avatar_split_clause,[],[f88,f1419,f1170]) ).
fof(f1554,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1594,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1595,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1661,plain,
( ! [X0] : ~ n0(X0,d)
| spl0_168 ),
inference(resolution,[],[f39,f1035]) ).
fof(f1665,plain,
( $false
| ~ spl0_49
| spl0_168 ),
inference(resolution,[],[f1661,f560]) ).
fof(f1666,plain,
( ~ spl0_49
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f1665]) ).
fof(f1671,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1672,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1671,f602,f1141]) ).
fof(f1689,plain,
( ! [X0] : ~ q0(d,X0)
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1158,f869]) ).
fof(f1690,plain,
( ! [X0] : ~ q0(a,X0)
| spl0_129
| ~ spl0_198 ),
inference(resolution,[],[f1158,f882]) ).
fof(f1692,plain,
( $false
| spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1689,f17]) ).
fof(f1697,plain,
( spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1716,plain,
( $false
| spl0_129
| ~ spl0_198 ),
inference(resolution,[],[f1690,f17]) ).
fof(f1719,plain,
( spl0_129
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1716]) ).
fof(f1873,plain,
( ! [X0,X1] :
( ~ n1(X0,d,X1)
| q3(d,X1)
| ~ q3(X1,d) )
| ~ spl0_91 ),
inference(resolution,[],[f295,f726]) ).
fof(f1875,plain,
( ! [X0,X1] :
( ~ n1(X0,d,X1)
| ~ q3(X1,d) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f1873,f369]) ).
fof(f2107,plain,
( ! [X0,X1] :
( l2(X0,X0)
| ~ m0(X1,d,X0) )
| ~ spl0_126
| ~ spl0_195 ),
inference(resolution,[],[f1145,f868]) ).
fof(f2111,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_126
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f2107,f19]) ).
fof(f2115,plain,
( ! [X0] :
( q2(X0,c,X0)
| ~ k1(X0) )
| ~ spl0_126
| ~ spl0_135
| ~ spl0_195 ),
inference(resolution,[],[f2111,f905]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ l0(X0)
| n1(X0,X1,X0) )
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f1420,f14]) ).
fof(f2123,plain,
( ! [X0] : n1(c,X0,c)
| ~ spl0_134
| ~ spl0_261 ),
inference(resolution,[],[f2122,f901]) ).
fof(f2132,plain,
( ~ q3(c,d)
| ~ spl0_91
| ~ spl0_134
| ~ spl0_261 ),
inference(resolution,[],[f2123,f1875]) ).
fof(f2133,plain,
( ! [X0] :
( ~ q2(X0,c,d)
| ~ n0(X0,c) )
| ~ spl0_91
| ~ spl0_134
| ~ spl0_261 ),
inference(resolution,[],[f2132,f293]) ).
fof(f2142,plain,
( ~ k1(d)
| ~ n0(d,c)
| ~ spl0_91
| ~ spl0_126
| ~ spl0_134
| ~ spl0_135
| ~ spl0_195
| ~ spl0_261 ),
inference(resolution,[],[f2115,f2133]) ).
fof(f2147,plain,
( ~ n0(d,c)
| ~ spl0_91
| ~ spl0_126
| ~ spl0_134
| ~ spl0_135
| ~ spl0_168
| ~ spl0_195
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f2142,f1034]) ).
fof(f2151,plain,
( $false
| ~ spl0_91
| ~ spl0_126
| ~ spl0_134
| ~ spl0_135
| ~ spl0_168
| ~ spl0_195
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f2147,f26]) ).
fof(f2152,plain,
( ~ spl0_91
| ~ spl0_126
| ~ spl0_134
| ~ spl0_135
| ~ spl0_168
| ~ spl0_195
| ~ spl0_261 ),
inference(avatar_contradiction_clause,[],[f2151]) ).
cnf(s59,plain,
( spl0_91
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f883]) ).
cnf(s62,plain,
( ~ spl0_134
| spl0_135 ),
inference(sat_conversion,[],[f906]) ).
cnf(s89,plain,
( spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s131,plain,
( ~ spl0_201
| spl0_261 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1554]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s176,plain,
~ spl0_194,
inference(sat_conversion,[],[f1595]) ).
cnf(s199,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s202,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s212,plain,
( spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s222,plain,
( spl0_129
| ~ spl0_198 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s304,plain,
( ~ spl0_91
| ~ spl0_126
| ~ spl0_134
| ~ spl0_135
| ~ spl0_168
| ~ spl0_195
| ~ spl0_261 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s308,plain,
~ spl0_60,
inference(rat,[],[s202,s176]) ).
cnf(s317,plain,
spl0_168,
inference(rat,[],[s199,s154]) ).
cnf(s340,plain,
spl0_261,
inference(rat,[],[s131,s167]) ).
cnf(s381,plain,
spl0_198,
inference(rat,[],[s91,s308]) ).
cnf(s383,plain,
spl0_129,
inference(rat,[],[s222,s381]) ).
cnf(s384,plain,
spl0_126,
inference(rat,[],[s212,s381]) ).
cnf(s387,plain,
spl0_195,
inference(rat,[],[s89,s176]) ).
cnf(s414,plain,
spl0_135,
inference(rat,[],[s62,s158]) ).
cnf(s415,plain,
~ spl0_91,
inference(rat,[],[s304,s340,s387,s317,s384,s158,s414]) ).
cnf(s418,plain,
$false,
inference(rat,[],[s59,s383,s168,s415]) ).
fof(f2153,plain,
$false,
inference(avatar_sat_refutation,[],[s418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n006.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 15:37:25 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 Running first-order theorem proving
% 0.11/0.26 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/1.42 % (4065522)Input is clausal, will run a generic CNF schedule.
% 3.17/1.42 % (4065539)lrs+10_1_sil=8000:sp=occurrence:random_seed=2584041632:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.17/1.42 % (4065542)dis-21_1_sil=8000:lcm=predicate:random_seed=3727431922:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.17/1.42 % (4065537)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2025813363:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.17/1.42 % (4065538)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2585501006:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.17/1.42 % (4065536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2878338419:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.17/1.42 % (4065541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3080383005:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.17/1.42 % (4065541)First to succeed.
% 3.17/1.42 % (4065541)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4065522"
% 3.17/1.42 % (4065539)Also succeeded, but the first one will report.
% 3.17/1.42 % (4065542)Instruction limit reached!
% 3.17/1.42 % (4065542)------------------------------
% 3.17/1.42 % (4065542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.42 % (4065542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.42 % (4065542)CaDiCaL version: 2.1.3
% 3.17/1.42 % (4065542)Termination reason: Instruction limit
% 3.17/1.42 % (4065542)Termination phase: Saturation
% 3.17/1.42 % (4065542)Time elapsed: 0.056 s
% 3.17/1.42 % (4065542)Peak memory usage: 89 MB
% 3.17/1.42 % (4065542)Instructions burned: 118 (million)
% 3.17/1.42 % (4065540)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1100366314:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.17/1.42 % (4065540)Also succeeded, but the first one will report.
% 3.17/1.42 % (4065549)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=876656653:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.17/1.42 % (4065549)Refutation not found, incomplete strategy
% 3.17/1.42 % (4065549)------------------------------
% 3.17/1.42 % (4065549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.42 % (4065549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.42 % (4065549)CaDiCaL version: 2.1.3
% 3.17/1.42 % (4065549)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.42 % (4065549)Time elapsed: 0.003 s
% 3.17/1.42 % (4065549)Peak memory usage: 87 MB
% 3.17/1.42 % (4065549)Instructions burned: 3 (million)
% 3.17/1.42 % (4065541)Refutation found. Thanks to Tanya!
% 3.17/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.17/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.13/1.62 % (4065541)------------------------------
% 4.13/1.62 % (4065541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.62 % (4065541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.62 % (4065541)CaDiCaL version: 2.1.3
% 4.13/1.62 % (4065541)Termination reason: Refutation
% 4.13/1.62 % (4065541)Time elapsed: 0.026 s
% 4.13/1.62 % (4065541)Peak memory usage: 90 MB
% 4.13/1.62 % (4065541)Instructions burned: 38 (million)
% 4.13/1.62 % (4065541)------------------------------
% 4.13/1.62 % (4065541)------------------------------
% 4.13/1.62 % (4065522)Success in time 0.457 s
% 4.13/1.62 % Vampire exiting
%------------------------------------------------------------------------------