%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO010-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:53:14 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 118 ( 15 unt; 8 def)
% Number of atoms : 280 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 312 ( 150 ~; 154 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity3) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).
fof(f23,axiom,
colinear(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abc_colinear) ).
fof(f24,negated_conjecture,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).
fof(f26,definition,
( spl0_1
<=> colinear(c,b,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f28,plain,
( ~ colinear(c,b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f30,definition,
( spl0_2
<=> colinear(c,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f34,definition,
( spl0_3
<=> colinear(b,c,a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f38,definition,
( spl0_4
<=> colinear(b,a,c) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f40,plain,
( ~ colinear(b,a,c)
| spl0_4 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f42,definition,
( spl0_5
<=> colinear(a,c,b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f45,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f24,f42,f38,f34,f30,f26]) ).
fof(f50,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f53,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f50]) ).
fof(f56,plain,
( between(a,b,c)
| between(b,c,a)
| between(c,a,b) ),
inference(resolution,[],[f22,f23]) ).
fof(f60,definition,
( spl0_6
<=> between(c,a,b) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f62,plain,
( between(c,a,b)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl0_7
<=> between(b,c,a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f66,plain,
( between(b,c,a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl0_8
<=> between(a,b,c) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f70,plain,
( between(a,b,c)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f56,f68,f64,f60]) ).
fof(f73,plain,
( colinear(b,c,a)
| ~ spl0_6 ),
inference(resolution,[],[f62,f20]) ).
fof(f74,plain,
( colinear(c,a,b)
| ~ spl0_6 ),
inference(resolution,[],[f62,f19]) ).
fof(f75,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f74,f60,f30]) ).
fof(f76,plain,
( spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f73,f60,f34]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4] :
( colinear(inner_pasch(X3,X4,X2,X1,X0),X3,X1)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f21]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X4] :
( colinear(X3,X1,inner_pasch(X3,X4,X2,X1,X0))
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f20]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] :
( colinear(X1,inner_pasch(X3,X4,X2,X1,X0),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f9,f19]) ).
fof(f85,plain,
( colinear(c,a,b)
| ~ spl0_7 ),
inference(resolution,[],[f66,f21]) ).
fof(f87,plain,
( colinear(b,c,a)
| ~ spl0_7 ),
inference(resolution,[],[f66,f19]) ).
fof(f88,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f87,f64,f34]) ).
fof(f89,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f85,f64,f30]) ).
fof(f96,plain,
( colinear(b,c,a)
| ~ spl0_8 ),
inference(resolution,[],[f70,f21]) ).
fof(f97,plain,
( colinear(c,a,b)
| ~ spl0_8 ),
inference(resolution,[],[f70,f20]) ).
fof(f99,plain,
( spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f97,f68,f30]) ).
fof(f100,plain,
( spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f96,f68,f34]) ).
fof(f166,plain,
( ! [X0] :
( ~ between(c,X0,a)
| c = inner_pasch(b,c,a,X0,c) )
| ~ spl0_7 ),
inference(resolution,[],[f77,f66]) ).
fof(f244,plain,
( c = inner_pasch(b,c,a,a,c)
| ~ spl0_7 ),
inference(resolution,[],[f166,f53]) ).
fof(f253,plain,
( colinear(c,b,a)
| ~ between(b,c,a)
| ~ between(c,a,a)
| ~ spl0_7 ),
inference(superposition,[],[f82,f244]) ).
fof(f254,plain,
( colinear(b,a,c)
| ~ between(b,c,a)
| ~ between(c,a,a)
| ~ spl0_7 ),
inference(superposition,[],[f83,f244]) ).
fof(f255,plain,
( colinear(a,c,b)
| ~ between(b,c,a)
| ~ between(c,a,a)
| ~ spl0_7 ),
inference(superposition,[],[f84,f244]) ).
fof(f256,plain,
( colinear(a,c,b)
| ~ between(c,a,a)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f255,f66]) ).
fof(f257,plain,
( colinear(b,a,c)
| ~ between(c,a,a)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f254,f66]) ).
fof(f258,plain,
( ~ between(b,c,a)
| ~ between(c,a,a)
| spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f253,f28]) ).
fof(f260,plain,
( colinear(a,c,b)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f256,f53]) ).
fof(f261,plain,
( colinear(b,a,c)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f257,f53]) ).
fof(f262,plain,
( ~ between(c,a,a)
| spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f258,f66]) ).
fof(f264,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f260,f64,f42]) ).
fof(f265,plain,
( spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f261,f64,f38]) ).
fof(f266,plain,
( $false
| spl0_1
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f262,f53]) ).
fof(f267,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f271,plain,
( ! [X0] :
( ~ between(a,X0,b)
| a = inner_pasch(c,a,b,X0,a) )
| ~ spl0_6 ),
inference(resolution,[],[f62,f77]) ).
fof(f276,plain,
( a = inner_pasch(c,a,b,b,a)
| ~ spl0_6 ),
inference(resolution,[],[f271,f53]) ).
fof(f285,plain,
( colinear(a,c,b)
| ~ between(c,a,b)
| ~ between(a,b,b)
| ~ spl0_6 ),
inference(superposition,[],[f82,f276]) ).
fof(f286,plain,
( colinear(c,b,a)
| ~ between(c,a,b)
| ~ between(a,b,b)
| ~ spl0_6 ),
inference(superposition,[],[f83,f276]) ).
fof(f287,plain,
( colinear(b,a,c)
| ~ between(c,a,b)
| ~ between(a,b,b)
| ~ spl0_6 ),
inference(superposition,[],[f84,f276]) ).
fof(f288,plain,
( ~ between(c,a,b)
| ~ between(a,b,b)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f287,f40]) ).
fof(f289,plain,
( colinear(c,b,a)
| ~ between(a,b,b)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f286,f62]) ).
fof(f290,plain,
( colinear(a,c,b)
| ~ between(a,b,b)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f285,f62]) ).
fof(f292,plain,
( ~ between(a,b,b)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f288,f62]) ).
fof(f293,plain,
( colinear(c,b,a)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f289,f53]) ).
fof(f294,plain,
( colinear(a,c,b)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f290,f53]) ).
fof(f296,plain,
( $false
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f292,f53]) ).
fof(f297,plain,
( spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f298,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f293,f60,f26]) ).
fof(f299,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f294,f60,f42]) ).
fof(f301,plain,
( ! [X0] :
( ~ between(b,X0,c)
| b = inner_pasch(a,b,c,X0,b) )
| ~ spl0_8 ),
inference(resolution,[],[f70,f77]) ).
fof(f312,plain,
( b = inner_pasch(a,b,c,c,b)
| ~ spl0_8 ),
inference(resolution,[],[f301,f53]) ).
fof(f322,plain,
( colinear(b,a,c)
| ~ between(a,b,c)
| ~ between(b,c,c)
| ~ spl0_8 ),
inference(superposition,[],[f82,f312]) ).
fof(f323,plain,
( colinear(a,c,b)
| ~ between(a,b,c)
| ~ between(b,c,c)
| ~ spl0_8 ),
inference(superposition,[],[f83,f312]) ).
fof(f324,plain,
( colinear(c,b,a)
| ~ between(a,b,c)
| ~ between(b,c,c)
| ~ spl0_8 ),
inference(superposition,[],[f84,f312]) ).
fof(f325,plain,
( colinear(c,b,a)
| ~ between(b,c,c)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f324,f70]) ).
fof(f326,plain,
( colinear(a,c,b)
| ~ between(b,c,c)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f323,f70]) ).
fof(f327,plain,
( ~ between(a,b,c)
| ~ between(b,c,c)
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f322,f40]) ).
fof(f329,plain,
( colinear(c,b,a)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f325,f53]) ).
fof(f330,plain,
( colinear(a,c,b)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f326,f53]) ).
fof(f331,plain,
( ~ between(b,c,c)
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f327,f70]) ).
fof(f333,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f329,f68,f26]) ).
fof(f334,plain,
( spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f330,f68,f42]) ).
fof(f335,plain,
( $false
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f331,f53]) ).
fof(f336,plain,
( spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f335]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s4,plain,
( spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f76]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f88]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f89]) ).
cnf(s7,plain,
( spl0_2
| ~ spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s8,plain,
( spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f100]) ).
cnf(s13,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f264]) ).
cnf(s14,plain,
( spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f265]) ).
cnf(s15,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f267]) ).
cnf(s18,plain,
( spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f297]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f298]) ).
cnf(s20,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f299]) ).
cnf(s21,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f333]) ).
cnf(s22,plain,
( spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f334]) ).
cnf(s23,plain,
( spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f336]) ).
cnf(s24,plain,
spl0_1,
inference(rat,[],[s2,s15,s19,s21]) ).
cnf(s25,plain,
spl0_2,
inference(rat,[],[s2,s3,s6,s7]) ).
cnf(s26,plain,
spl0_3,
inference(rat,[],[s2,s4,s5,s8]) ).
cnf(s27,plain,
spl0_4,
inference(rat,[],[s2,s14,s18,s23]) ).
cnf(s28,plain,
~ spl0_5,
inference(rat,[],[s1,s25,s24,s26,s27]) ).
cnf(s29,plain,
~ spl0_8,
inference(rat,[],[s22,s28]) ).
cnf(s30,plain,
~ spl0_6,
inference(rat,[],[s20,s28]) ).
cnf(s31,plain,
~ spl0_7,
inference(rat,[],[s13,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s2,s29,s31,s30]) ).
fof(f337,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO010-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 06:33:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.48 % (1286676)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1286683)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1073990475:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1286682)% WARNING: option uhcvi not known.
% 0.18/0.48 % (1286681)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=530228195_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1286682)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=384300060:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1286684)dis+10_1_sil=32000:sp=arity:random_seed=3269670009:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1286686)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1422245718:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1286685)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2311358077:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1286687)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1741277073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % TRYING [2]
% 0.18/0.48 % TRYING [3]
% 0.18/0.48 % (1286684) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1286676-1286684"...
% 0.18/0.48 % (1286687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1286676-1286687"...
% 0.18/0.48 % (1286684)...printing done.
% 0.18/0.48 % (1286687)...printing done.
% 0.18/0.48 % (1286684)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (1286684)------------------------------
% 0.18/0.49 % (1286684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (1286684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (1286684)CaDiCaL version: 2.1.3
% 0.18/0.49 % (1286684)Termination reason: Refutation
% 0.18/0.49 % (1286684)Time elapsed: 0.012 s
% 0.18/0.49 % (1286684)Peak memory usage: 12 MB
% 0.18/0.49 % (1286684)Instructions burned: 15 (million)
% 0.18/0.49 % (1286676)Success in time 0.054 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------