%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 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 12:02:16 PM UTC 2026
% Result : Unsatisfiable 1.75s 1.13s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 111 ( 27 unt; 10 def)
% Number of atoms : 231 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 227 ( 107 ~; 110 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f4,axiom,
! [X0,X1] :
( greater(X0,X1)
| ~ greater_or_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
fof(f13,axiom,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_32) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_33) ).
fof(f19,axiom,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2_38) ).
fof(f20,axiom,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3_39) ).
fof(f21,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_40) ).
fof(f22,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_41) ).
fof(f23,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_42) ).
fof(f24,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_43) ).
fof(f25,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_44) ).
fof(f26,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_45) ).
fof(f27,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_46) ).
fof(f28,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9_47) ).
fof(f29,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f32,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f33,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f28,f35,f32]) ).
fof(f44,plain,
smaller(zero,sigma),
inference(resolution,[],[f8,f27]) ).
fof(f48,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[],[f44,f2]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ smaller(X0,X1) ),
inference(resolution,[],[f9,f7]) ).
fof(f58,plain,
smaller_or_equal(age(sk2,sk3),sigma),
inference(superposition,[],[f48,f23]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| ~ greater(X0,X1)
| smaller(X1,X2) ),
inference(resolution,[],[f10,f8]) ).
fof(f82,plain,
! [X0,X1] :
( smaller(X1,X0)
| smaller(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f11,f8]) ).
fof(f86,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolution,[],[f13,f24]) ).
fof(f87,plain,
has_immunity(sk2,sk4),
inference(forward_subsumption_resolution,[],[f86,f22]) ).
fof(f88,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolution,[],[f14,f25]) ).
fof(f93,plain,
~ has_immunity(sk2,sk5),
inference(forward_subsumption_resolution,[],[f88,f22]) ).
fof(f98,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,X0)
| ~ organization(sk2) )
| spl0_1 ),
inference(superposition,[],[f33,f19]) ).
fof(f105,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,sk3)
| ~ has_immunity(sk2,X0) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f98,f21]) ).
fof(f107,definition,
( spl0_6
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f108,plain,
( ~ has_immunity(sk2,sk3)
| spl0_6 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,definition,
( spl0_7
<=> ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f111,plain,
( ! [X0] :
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,X0)
| ~ has_immunity(sk2,X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( ~ spl0_6
| spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f105,f32,f110,f107]) ).
fof(f146,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| ~ smaller(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f53,f4]) ).
fof(f186,definition,
( spl0_13
<=> eta = sigma ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f187,plain,
( eta = sigma
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f208,plain,
! [X0] :
( ~ greater(zero,X0)
| smaller(X0,sigma) ),
inference(resolution,[],[f77,f27]) ).
fof(f220,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller_or_equal(X1,X0) ),
inference(resolution,[],[f82,f2]) ).
fof(f298,plain,
! [X0] :
( smaller(X0,sigma)
| ~ smaller(X0,zero) ),
inference(resolution,[],[f208,f7]) ).
fof(f425,plain,
( ~ smaller(eta,sigma)
| eta = sigma ),
inference(resolution,[],[f146,f26]) ).
fof(f490,definition,
( spl0_23
<=> smaller(eta,sigma) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f491,plain,
( ~ smaller(eta,sigma)
| spl0_23 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f425,f490,f186]) ).
fof(f506,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_13 ),
inference(superposition,[],[f58,f187]) ).
fof(f542,definition,
( spl0_25
<=> smaller(eta,zero) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f543,plain,
( ~ smaller(eta,zero)
| spl0_25 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f592,plain,
( ~ smaller(eta,zero)
| spl0_23 ),
inference(resolution,[],[f491,f298]) ).
fof(f597,plain,
( ~ spl0_25
| spl0_23 ),
inference(avatar_split_clause,[],[f592,f490,f542]) ).
fof(f697,plain,
( ~ smaller(eta,age(sk2,sk3))
| spl0_25 ),
inference(superposition,[],[f543,f23]) ).
fof(f711,definition,
( spl0_26
<=> eta = age(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f712,plain,
( eta = age(sk2,sk3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f757,definition,
( spl0_28
<=> smaller(eta,age(sk2,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f758,plain,
( ~ smaller(eta,age(sk2,sk3))
| spl0_28 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f808,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk3)
| ~ spl0_13 ),
inference(resolution,[],[f506,f13]) ).
fof(f809,plain,
( has_immunity(sk2,sk3)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f808,f22]) ).
fof(f810,plain,
( $false
| spl0_6
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f809,f108]) ).
fof(f811,plain,
( spl0_6
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f816,plain,
( ~ has_immunity(sk2,sk4)
| ~ spl0_7 ),
inference(equality_resolution,[],[f111]) ).
fof(f819,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f816,f87]) ).
fof(f820,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f825,plain,
( ~ has_immunity(sk2,sk4)
| has_immunity(sk2,sk5)
| ~ organization(sk2)
| spl0_2 ),
inference(resolution,[],[f36,f20]) ).
fof(f847,plain,
( has_immunity(sk2,sk5)
| ~ organization(sk2)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f825,f87]) ).
fof(f850,plain,
( ~ organization(sk2)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f847,f93]) ).
fof(f851,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f850,f21]) ).
fof(f852,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f936,definition,
( spl0_37
<=> smaller_or_equal(age(sk2,sk3),eta) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f937,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f999,plain,
( ~ smaller_or_equal(eta,eta)
| ~ has_endowment(sk2)
| has_immunity(sk2,sk3)
| ~ spl0_26 ),
inference(superposition,[],[f13,f712]) ).
fof(f1007,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk3)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f999,f29]) ).
fof(f1021,plain,
( has_immunity(sk2,sk3)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1007,f22]) ).
fof(f1022,plain,
( $false
| spl0_6
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1021,f108]) ).
fof(f1023,plain,
( spl0_6
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
fof(f1059,plain,
( eta = age(sk2,sk3)
| smaller_or_equal(age(sk2,sk3),eta)
| spl0_28 ),
inference(resolution,[],[f758,f220]) ).
fof(f1063,plain,
( spl0_37
| spl0_26
| spl0_28 ),
inference(avatar_split_clause,[],[f1059,f757,f711,f936]) ).
fof(f1090,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk3)
| ~ spl0_37 ),
inference(resolution,[],[f937,f13]) ).
fof(f1091,plain,
( has_immunity(sk2,sk3)
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1090,f22]) ).
fof(f1092,plain,
( $false
| spl0_6
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1091,f108]) ).
fof(f1093,plain,
( spl0_6
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1095,plain,
( ~ spl0_28
| spl0_25 ),
inference(avatar_split_clause,[],[f697,f542,f757]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f113]) ).
cnf(s34,plain,
( spl0_13
| ~ spl0_23 ),
inference(sat_conversion,[],[f492]) ).
cnf(s51,plain,
( spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f597]) ).
cnf(s67,plain,
( spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f811]) ).
cnf(s68,plain,
~ spl0_7,
inference(sat_conversion,[],[f820]) ).
cnf(s71,plain,
spl0_2,
inference(sat_conversion,[],[f852]) ).
cnf(s97,plain,
( spl0_6
| ~ spl0_26 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s107,plain,
( spl0_26
| spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s109,plain,
( spl0_6
| ~ spl0_37 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s111,plain,
( spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s113,plain,
( spl0_1
| ~ spl0_6 ),
inference(rat,[],[s5,s68]) ).
cnf(s115,plain,
~ spl0_1,
inference(rat,[],[s1,s71]) ).
cnf(s116,plain,
~ spl0_6,
inference(rat,[],[s113,s115]) ).
cnf(s117,plain,
~ spl0_37,
inference(rat,[],[s109,s116]) ).
cnf(s118,plain,
~ spl0_26,
inference(rat,[],[s97,s116]) ).
cnf(s119,plain,
~ spl0_13,
inference(rat,[],[s67,s116]) ).
cnf(s121,plain,
spl0_28,
inference(rat,[],[s107,s117,s118]) ).
cnf(s123,plain,
~ spl0_23,
inference(rat,[],[s34,s119]) ).
cnf(s128,plain,
spl0_25,
inference(rat,[],[s111,s121]) ).
cnf(s130,plain,
$false,
inference(rat,[],[s51,s128,s123]) ).
fof(f1097,plain,
$false,
inference(avatar_sat_refutation,[],[s130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:29:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 1.75/1.13 % (3196264)Input is clausal, will run a generic CNF schedule.
% 1.75/1.13 % (3196273)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=989126441:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.75/1.13 % (3196273)First to succeed.
% 1.75/1.13 % (3196273)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3196264"
% 1.75/1.13 % (3196274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2403045785:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.75/1.13 % (3196271)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2225057718:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.75/1.13 % (3196270)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3859160745:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.75/1.13 % (3196272)lrs+10_1_sil=8000:sp=occurrence:random_seed=230591670:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.75/1.13 % (3196269)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=3435719643:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.75/1.13 % (3196275)dis-21_1_sil=8000:lcm=predicate:random_seed=4139100410: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)
% 1.75/1.13 % (3196272)Also succeeded, but the first one will report.
% 1.75/1.13 % (3196274)Also succeeded, but the first one will report.
% 1.75/1.13 % (3196275)Instruction limit reached!
% 1.75/1.13 % (3196275)------------------------------
% 1.75/1.13 % (3196275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.75/1.13 % (3196275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/1.13 % (3196275)CaDiCaL version: 2.1.3
% 1.75/1.13 % (3196275)Termination reason: Instruction limit
% 1.75/1.13 % (3196275)Termination phase: Saturation
% 1.75/1.13 % (3196275)Time elapsed: 0.055 s
% 1.75/1.13 % (3196275)Peak memory usage: 88 MB
% 1.75/1.13 % (3196275)Instructions burned: 119 (million)
% 1.75/1.13 % (3196273)Refutation found. Thanks to Tanya!
% 1.75/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.75/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.32 % (3196273)------------------------------
% 2.61/1.32 % (3196273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.32 % (3196273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.32 % (3196273)CaDiCaL version: 2.1.3
% 2.61/1.32 % (3196273)Termination reason: Refutation
% 2.61/1.32 % (3196273)Time elapsed: 0.015 s
% 2.61/1.32 % (3196273)Peak memory usage: 89 MB
% 2.61/1.32 % (3196273)Instructions burned: 33 (million)
% 2.61/1.32 % (3196273)------------------------------
% 2.61/1.32 % (3196273)------------------------------
% 2.61/1.32 % (3196264)Success in time 0.28 s
% 2.61/1.32 % Vampire exiting
%------------------------------------------------------------------------------