%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA005-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:27:41 PM UTC 2026
% Result : Unsatisfiable 2.56s 1.64s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 76 ( 23 unt; 4 def)
% Number of atoms : 243 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 361 ( 194 ~; 163 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f2,axiom,
! [X0,X1] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(on(X1,X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X2),X3))
| ~ holds(on(X0,X1),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X2,X3),X4))
| ~ holds(on(X0,X1),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(clear(X0),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(c,a),on(d,b)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_CA_DB) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(c,a),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f37,plain,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f7,f2]) ).
fof(f39,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table)
| ~ holds(on(c,a),do(putdown(d,b),do(pickup(d),X0))) ),
inference(resolution,[],[f37,f32]) ).
fof(f40,plain,
! [X0] :
( ~ holds(on(c,a),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(forward_subsumption_resolution,[],[f39,f21]) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0) ),
inference(resolution,[],[f40,f9]) ).
fof(f52,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0)
| ~ differ(c,d) ),
inference(resolution,[],[f42,f4]) ).
fof(f53,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0) ),
inference(forward_subsumption_resolution,[],[f52,f19]) ).
fof(f62,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,d) ),
inference(resolution,[],[f53,f5]) ).
fof(f64,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(on(c,a),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f62,f17]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(on(c,a),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f64,f6]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ holds(on(c,a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f69,f2]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f82,f37]) ).
fof(f89,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f90,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f89,f20]) ).
fof(f100,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ differ(d,a) ),
inference(resolution,[],[f90,f10]) ).
fof(f102,definition,
( spl0_7
<=> differ(d,a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( ~ differ(d,a)
| spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f106,definition,
( spl0_8
<=> ! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f107,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0)) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f100,f106,f102]) ).
fof(f114,plain,
( ~ differ(a,d)
| spl0_7 ),
inference(resolution,[],[f104,f11]) ).
fof(f115,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f114,f14]) ).
fof(f116,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f119,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(b,a) )
| ~ spl0_8 ),
inference(resolution,[],[f107,f10]) ).
fof(f121,definition,
( spl0_9
<=> differ(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f123,plain,
( ~ differ(b,a)
| spl0_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_10
<=> ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f119,f106,f125,f121]) ).
fof(f128,plain,
( ~ differ(a,b)
| spl0_9 ),
inference(resolution,[],[f123,f11]) ).
fof(f129,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f128,f12]) ).
fof(f130,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f145,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f126,f3]) ).
fof(f147,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f212,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) )
| ~ spl0_10 ),
inference(resolution,[],[f147,f5]) ).
fof(f214,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f212,f16]) ).
fof(f252,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c) )
| ~ spl0_10 ),
inference(resolution,[],[f214,f5]) ).
fof(f254,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f252,f13]) ).
fof(f256,plain,
( ~ holds(clear(c),s0)
| ~ holds(on(c,d),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ spl0_10 ),
inference(resolution,[],[f254,f29]) ).
fof(f257,plain,
( ~ holds(on(c,d),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f256,f28]) ).
fof(f258,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f257,f24]) ).
fof(f259,plain,
( ~ holds(clear(a),s0)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f258,f27]) ).
fof(f260,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f259,f26]) ).
fof(f261,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f260]) ).
cnf(s5,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f108]) ).
cnf(s7,plain,
spl0_7,
inference(sat_conversion,[],[f116]) ).
cnf(s8,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f127]) ).
cnf(s9,plain,
spl0_9,
inference(sat_conversion,[],[f130]) ).
cnf(s13,plain,
~ spl0_10,
inference(sat_conversion,[],[f261]) ).
cnf(s14,plain,
~ spl0_8,
inference(rat,[],[s8,s13,s9]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s5,s14,s7]) ).
fof(f262,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA005-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:11:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.64 % (2782040)Input is clausal, will run a generic CNF schedule.
% 2.56/1.64 % (2782054)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=4146355298:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.64 % (2782055)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=174085822:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.64 % (2782057)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2280355588:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.64 % (2782058)lrs+10_1_sil=8000:sp=occurrence:random_seed=2290375853:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.64 % (2782060)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2064004212:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.64 % (2782058)Refutation not found, incomplete strategy
% 2.56/1.64 % (2782058)------------------------------
% 2.56/1.64 % (2782058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.64 % (2782058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.64 % (2782058)CaDiCaL version: 2.1.3
% 2.56/1.64 % (2782058)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.64 % (2782058)Time elapsed: 0.002 s
% 2.56/1.64 % (2782058)Peak memory usage: 87 MB
% 2.56/1.64 % (2782058)Instructions burned: 1 (million)
% 2.56/1.64 % (2782059)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=144415617:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.64 % (2782059)Refutation not found, incomplete strategy
% 2.56/1.64 % (2782059)------------------------------
% 2.56/1.64 % (2782059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.64 % (2782059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.64 % (2782059)CaDiCaL version: 2.1.3
% 2.56/1.64 % (2782059)Termination reason: Refutation not found, incomplete strategy
% 2.56/1.64 % (2782059)Time elapsed: 0.002 s
% 2.56/1.64 % (2782059)Peak memory usage: 87 MB
% 2.56/1.64 % (2782060)First to succeed.
% 2.56/1.64 % (2782061)dis-21_1_sil=8000:lcm=predicate:random_seed=1123640851: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)
% 2.56/1.64 % (2782060)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2782040"
% 2.56/1.64 % (2782061)Also succeeded, but the first one will report.
% 2.56/1.64 % (2782058)------------------------------
% 2.56/1.64 % (2782058)------------------------------
% 2.56/1.64 % (2782059)------------------------------
% 2.56/1.64 % (2782059)------------------------------
% 2.56/1.64 % (2782060)Refutation found. Thanks to Tanya!
% 2.56/1.64 % SZS status Unsatisfiable for theBenchmark
% 2.56/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.94 % (2782060)------------------------------
% 5.45/1.94 % (2782060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.94 % (2782060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.94 % (2782060)CaDiCaL version: 2.1.3
% 5.45/1.94 % (2782060)Termination reason: Refutation
% 5.45/1.94 % (2782060)Time elapsed: 0.020 s
% 5.45/1.94 % (2782060)Peak memory usage: 89 MB
% 5.45/1.94 % (2782060)Instructions burned: 17 (million)
% 5.45/1.94 % (2782060)------------------------------
% 5.45/1.94 % (2782060)------------------------------
% 5.45/1.94 % (2782040)Success in time 0.65 s
% 5.45/1.94 % Vampire exiting
%------------------------------------------------------------------------------