%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA009-2 : 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 : n003.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 12:27:42 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.08s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 25
% Syntax : Number of formulae : 80 ( 21 unt; 5 def)
% Number of atoms : 237 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 329 ( 172 ~; 152 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(clear(d),on(a,b)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_D_AB) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f35,plain,
! [X0,X1] :
( ~ holds(clear(d),do(pickup(X1),X0))
| ~ differ(a,X1)
| ~ holds(on(a,b),X0) ),
inference(resolution,[],[f4,f32]) ).
fof(f39,plain,
! [X0,X1] :
( ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1)
| ~ differ(a,X0)
| ~ holds(on(a,b),X1) ),
inference(resolution,[],[f3,f35]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ holds(holding(X1),X3)
| ~ holds(on(X0,d),do(putdown(X1,X2),X3))
| ~ differ(a,X0)
| ~ holds(on(a,b),do(putdown(X1,X2),X3))
| ~ holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(clear(X2),X3) ),
inference(resolution,[],[f39,f6]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ holds(on(a,b),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ differ(a,X0)
| ~ holds(on(X0,d),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ holds(clear(X0),do(putdown(X1,X2),do(pickup(X1),X3)))
| ~ holds(clear(X2),do(pickup(X1),X3))
| ~ holds(empty,X3)
| ~ holds(clear(X1),X3)
| ~ differ(X1,table) ),
inference(resolution,[],[f56,f2]) ).
fof(f86,definition,
( spl0_7
<=> differ(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f87,plain,
( differ(b,a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ differ(b,a)
| spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f100,plain,
( ~ differ(a,b)
| spl0_7 ),
inference(resolution,[],[f88,f11]) ).
fof(f101,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f100,f12]) ).
fof(f102,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f104,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table)
| ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(clear(b),do(pickup(a),X1)) ),
inference(resolution,[],[f78,f7]) ).
fof(f105,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table)
| ~ holds(holding(a),do(pickup(a),X1)) ),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0) ),
inference(forward_subsumption_resolution,[],[f105,f15]) ).
fof(f118,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table) ),
inference(resolution,[],[f106,f2]) ).
fof(f119,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0)
| ~ differ(a,table) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0) ),
inference(forward_subsumption_resolution,[],[f119,f15]) ).
fof(f124,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(pickup(a),X1))
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1))) ),
inference(resolution,[],[f120,f9]) ).
fof(f125,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,X1)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a) ),
inference(resolution,[],[f124,f4]) ).
fof(f126,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a) ),
inference(forward_subsumption_resolution,[],[f125,f11]) ).
fof(f131,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a)
| ~ holds(clear(b),X0)
| ~ differ(b,a) ),
inference(resolution,[],[f126,f5]) ).
fof(f133,plain,
( ! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(X1),do(putdown(a,b),do(pickup(a),X0)))
| ~ holds(on(X1,d),X0)
| ~ differ(X1,a)
| ~ holds(clear(b),X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f131,f87]) ).
fof(f136,plain,
( ! [X0] :
( ~ holds(clear(a),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),s0)
| ~ differ(X0,a)
| ~ holds(clear(b),s0) )
| ~ spl0_7 ),
inference(resolution,[],[f133,f29]) ).
fof(f137,plain,
( ! [X0] :
( ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ holds(on(X0,d),s0)
| ~ differ(X0,a)
| ~ holds(clear(b),s0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f136,f26]) ).
fof(f138,plain,
( ! [X0] :
( ~ holds(on(X0,d),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(X0,a) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f137,f27]) ).
fof(f143,plain,
( ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(c,a)
| ~ spl0_7 ),
inference(resolution,[],[f138,f24]) ).
fof(f145,definition,
( spl0_10
<=> differ(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f146,plain,
( differ(c,a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f147,plain,
( ~ differ(c,a)
| spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,definition,
( spl0_11
<=> holds(clear(c),do(putdown(a,b),do(pickup(a),s0))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f151,plain,
( ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| spl0_11 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f143,f86,f149,f145]) ).
fof(f158,plain,
( ~ differ(a,c)
| spl0_10 ),
inference(resolution,[],[f147,f11]) ).
fof(f159,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f158,f13]) ).
fof(f160,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f167,plain,
( ~ holds(clear(c),do(pickup(a),s0))
| ~ differ(c,b)
| spl0_11 ),
inference(resolution,[],[f151,f10]) ).
fof(f169,definition,
( spl0_12
<=> differ(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f171,plain,
( ~ differ(c,b)
| spl0_12 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f173,definition,
( spl0_13
<=> holds(clear(c),do(pickup(a),s0)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f175,plain,
( ~ holds(clear(c),do(pickup(a),s0))
| spl0_13 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_11 ),
inference(avatar_split_clause,[],[f167,f149,f173,f169]) ).
fof(f178,plain,
( ~ differ(b,c)
| spl0_12 ),
inference(resolution,[],[f171,f11]) ).
fof(f179,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f178,f16]) ).
fof(f180,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f185,plain,
( ~ holds(clear(c),s0)
| ~ differ(c,a)
| spl0_13 ),
inference(resolution,[],[f175,f5]) ).
fof(f186,plain,
( ~ differ(c,a)
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f185,f28]) ).
fof(f188,plain,
( $false
| ~ spl0_10
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f186,f146]) ).
fof(f189,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f188]) ).
cnf(s8,plain,
spl0_7,
inference(sat_conversion,[],[f102]) ).
cnf(s9,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f152]) ).
cnf(s10,plain,
spl0_10,
inference(sat_conversion,[],[f160]) ).
cnf(s11,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f176]) ).
cnf(s12,plain,
spl0_12,
inference(sat_conversion,[],[f180]) ).
cnf(s13,plain,
( ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f189]) ).
cnf(s14,plain,
( spl0_11
| ~ spl0_13 ),
inference(rat,[],[s11,s12]) ).
cnf(s15,plain,
spl0_13,
inference(rat,[],[s13,s10]) ).
cnf(s16,plain,
spl0_11,
inference(rat,[],[s14,s15]) ).
cnf(s17,plain,
~ spl0_7,
inference(rat,[],[s9,s16,s10]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s8,s17]) ).
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n003.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 22:10:56 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 2.94/1.08 % (965716)Input is clausal, will run a generic CNF schedule.
% 2.94/1.08 % (965770)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2050827921:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.08 % (965771)lrs+10_1_sil=8000:sp=occurrence:random_seed=252947700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.08 % (965768)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=3819467583:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.08 % (965772)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2733932799:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.08 % (965774)dis-21_1_sil=8000:lcm=predicate:random_seed=2475046756: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)
% 2.94/1.08 % (965769)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2476902598:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.08 % (965773)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=424343233:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.08 % (965772)Refutation not found, incomplete strategy
% 2.94/1.08 % (965772)------------------------------
% 2.94/1.08 % (965772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.08 % (965772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (965772)CaDiCaL version: 2.1.3
% 2.94/1.08 % (965772)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.08 % (965772)Time elapsed: 0.001 s
% 2.94/1.08 % (965772)Peak memory usage: 87 MB
% 2.94/1.08 % (965771)Refutation not found, incomplete strategy
% 2.94/1.08 % (965771)------------------------------
% 2.94/1.08 % (965771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.08 % (965771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.08 % (965771)CaDiCaL version: 2.1.3
% 2.94/1.08 % (965771)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.08 % (965771)Time elapsed: 0.001 s
% 2.94/1.08 % (965771)Peak memory usage: 87 MB
% 2.94/1.08 % (965771)Instructions burned: 1 (million)
% 2.94/1.08 % (965773)First to succeed.
% 2.94/1.08 % (965773)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-965716"
% 2.94/1.08 % (965774)Also succeeded, but the first one will report.
% 2.94/1.08 % (965771)------------------------------
% 2.94/1.08 % (965771)------------------------------
% 2.94/1.08 % (965772)------------------------------
% 2.94/1.08 % (965772)------------------------------
% 2.94/1.08 % (965773)Refutation found. Thanks to Tanya!
% 2.94/1.08 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.28 % (965773)------------------------------
% 3.36/1.28 % (965773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.28 % (965773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.28 % (965773)CaDiCaL version: 2.1.3
% 3.36/1.28 % (965773)Termination reason: Refutation
% 3.36/1.28 % (965773)Time elapsed: 0.016 s
% 3.36/1.28 % (965773)Peak memory usage: 89 MB
% 3.36/1.28 % (965773)Instructions burned: 12 (million)
% 3.36/1.28 % (965773)------------------------------
% 3.36/1.28 % (965773)------------------------------
% 3.36/1.28 % (965716)Success in time 0.428 s
% 3.36/1.28 % Vampire exiting
%------------------------------------------------------------------------------