%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT060+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:02:17 PM UTC 2026
% Result : Theorem 2.55s 1.28s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 99 ( 24 unt; 5 def)
% Number of atoms : 305 ( 75 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 321 ( 115 ~; 158 |; 31 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 71 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0,X1] :
( organization(X0)
=> ( ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low )
& ( ~ has_immunity(X0,X1)
=> ( ( ( is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = low )
& ( ( ~ is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( ~ is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f8,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).
fof(f9,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f10,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).
fof(f12,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( smaller(X0,X1)
=> greater(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f16,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& organization(sK0)
& has_immunity(sK0,sK1)
& ~ has_immunity(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f28,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f31,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
inference(cnf_transformation,[],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
inference(cnf_transformation,[],[f21]) ).
fof(f34,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f10]) ).
fof(f38,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
~ has_immunity(sK0,sK2),
inference(cnf_transformation,[],[f24]) ).
fof(f40,plain,
has_immunity(sK0,sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f41,plain,
organization(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f42,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
~ greater(low,mod1),
inference(resolution,[],[f26,f35]) ).
fof(f45,plain,
~ greater(low,mod2),
inference(resolution,[],[f26,f38]) ).
fof(f49,plain,
! [X0] :
( ~ greater(hazard_of_mortality(sK0,sK2),X0)
| ~ greater(X0,hazard_of_mortality(sK0,sK1)) ),
inference(resolution,[],[f27,f42]) ).
fof(f52,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| greater(X1,X0) ),
inference(resolution,[],[f28,f25]) ).
fof(f56,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| very_low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f33,f41]) ).
fof(f57,plain,
very_low = hazard_of_mortality(sK0,sK1),
inference(resolution,[],[f56,f40]) ).
fof(f61,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f32,f41]) ).
fof(f65,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| ~ organization(sK0) ),
inference(resolution,[],[f61,f31]) ).
fof(f66,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| ~ organization(sK0) ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f67,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f66,f41]) ).
fof(f73,plain,
! [X0] :
( has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| ~ is_aligned(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| ~ organization(sK0) ),
inference(resolution,[],[f67,f30]) ).
fof(f74,plain,
! [X0] :
( has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| is_aligned(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| ~ organization(sK0) ),
inference(resolution,[],[f67,f29]) ).
fof(f75,plain,
! [X0] :
( has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| is_aligned(sK0,X0)
| high = hazard_of_mortality(sK0,X0)
| ~ organization(sK0) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f76,plain,
! [X0] :
( has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| ~ is_aligned(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| ~ organization(sK0) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f77,plain,
! [X0] :
( is_aligned(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f75,f41]) ).
fof(f78,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f76,f41]) ).
fof(f79,plain,
! [X0] :
( ~ greater(X0,mod1)
| ~ greater(low,X0) ),
inference(resolution,[],[f44,f27]) ).
fof(f98,plain,
! [X0] :
( low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f78,f77]) ).
fof(f101,plain,
! [X0] :
( has_immunity(sK0,X0)
| mod1 = hazard_of_mortality(sK0,X0)
| low = hazard_of_mortality(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f112,plain,
( mod1 = hazard_of_mortality(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2)
| mod2 = hazard_of_mortality(sK0,sK2)
| high = hazard_of_mortality(sK0,sK2) ),
inference(resolution,[],[f101,f39]) ).
fof(f115,definition,
( spl3_1
<=> high = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f117,plain,
( high = hazard_of_mortality(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,definition,
( spl3_2
<=> mod2 = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f121,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl3_3
<=> low = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f125,plain,
( low = hazard_of_mortality(sK0,sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl3_4
<=> mod1 = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f129,plain,
( mod1 = hazard_of_mortality(sK0,sK2)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f112,f127,f123,f119,f115]) ).
fof(f135,plain,
! [X0] :
( hazard_of_mortality(sK0,sK2) = X0
| greater(X0,hazard_of_mortality(sK0,sK2))
| ~ greater(X0,hazard_of_mortality(sK0,sK1)) ),
inference(resolution,[],[f52,f49]) ).
fof(f158,plain,
! [X0] :
( ~ greater(X0,very_low)
| hazard_of_mortality(sK0,sK2) = X0
| greater(X0,hazard_of_mortality(sK0,sK2)) ),
inference(forward_demodulation,[],[f135,f57]) ).
fof(f166,plain,
( low = hazard_of_mortality(sK0,sK2)
| greater(low,hazard_of_mortality(sK0,sK2)) ),
inference(resolution,[],[f158,f36]) ).
fof(f168,definition,
( spl3_7
<=> greater(low,hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f170,plain,
( greater(low,hazard_of_mortality(sK0,sK2))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f166,f123,f168]) ).
fof(f181,plain,
~ greater(low,high),
inference(resolution,[],[f79,f34]) ).
fof(f192,plain,
( greater(low,mod2)
| ~ spl3_2
| ~ spl3_7 ),
inference(superposition,[],[f170,f121]) ).
fof(f196,plain,
( $false
| ~ spl3_2
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f192,f45]) ).
fof(f197,plain,
( ~ spl3_2
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f214,plain,
( greater(low,high)
| ~ spl3_1
| ~ spl3_7 ),
inference(superposition,[],[f170,f117]) ).
fof(f241,plain,
( ~ greater(low,hazard_of_mortality(sK0,sK1))
| ~ spl3_3 ),
inference(superposition,[],[f42,f125]) ).
fof(f259,plain,
( ~ greater(low,very_low)
| ~ spl3_3 ),
inference(forward_demodulation,[],[f241,f57]) ).
fof(f260,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f259,f36]) ).
fof(f261,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f297,plain,
( greater(low,mod1)
| ~ spl3_4
| ~ spl3_7 ),
inference(superposition,[],[f170,f129]) ).
fof(f301,plain,
( $false
| ~ spl3_4
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f297,f44]) ).
fof(f302,plain,
( ~ spl3_4
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f458,plain,
( $false
| ~ spl3_1
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f214,f181]) ).
fof(f459,plain,
( ~ spl3_1
| ~ spl3_7 ),
inference(avatar_contradiction_clause,[],[f458]) ).
cnf(s1,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f130]) ).
cnf(s4,plain,
( spl3_3
| spl3_7 ),
inference(sat_conversion,[],[f171]) ).
cnf(s6,plain,
( ~ spl3_2
| ~ spl3_7 ),
inference(sat_conversion,[],[f197]) ).
cnf(s11,plain,
~ spl3_3,
inference(sat_conversion,[],[f261]) ).
cnf(s15,plain,
( ~ spl3_4
| ~ spl3_7 ),
inference(sat_conversion,[],[f302]) ).
cnf(s37,plain,
( ~ spl3_1
| ~ spl3_7 ),
inference(sat_conversion,[],[f459]) ).
cnf(s45,plain,
spl3_7,
inference(rat,[],[s4,s11]) ).
cnf(s46,plain,
~ spl3_1,
inference(rat,[],[s37,s45]) ).
cnf(s47,plain,
~ spl3_4,
inference(rat,[],[s15,s45]) ).
cnf(s49,plain,
~ spl3_2,
inference(rat,[],[s6,s45]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s1,s47,s11,s49,s46]) ).
fof(f460,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:34:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.55/1.28 % (1885141)Detected formulas, will run a generic FOF schedule.
% 2.55/1.28 % (1885148)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3053362931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.28 % (1885146)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=1427311428:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.28 % (1885147)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4076694935:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.28 % (1885149)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=941288520:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.28 % (1885152)dis-21_1_sil=8000:lcm=predicate:random_seed=1883214569:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.55/1.28 % (1885150)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1591041953:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.28 % (1885151)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1168330771:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.28 % (1885149)Refutation not found, incomplete strategy
% 2.55/1.28 % (1885149)------------------------------
% 2.55/1.28 % (1885149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (1885149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (1885149)CaDiCaL version: 2.1.3
% 2.55/1.28 % (1885149)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.28 % (1885149)Time elapsed: 0.001 s
% 2.55/1.28 % (1885149)Peak memory usage: 87 MB
% 2.55/1.28 % (1885151)First to succeed.
% 2.55/1.28 % (1885151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1885141"
% 2.55/1.28 % (1885150)Instruction limit reached!
% 2.55/1.28 % (1885150)------------------------------
% 2.55/1.28 % (1885150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (1885150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (1885150)CaDiCaL version: 2.1.3
% 2.55/1.28 % (1885150)Termination reason: Instruction limit
% 2.55/1.28 % (1885150)Termination phase: Saturation
% 2.55/1.28 % (1885150)Time elapsed: 0.046 s
% 2.55/1.28 % (1885150)Peak memory usage: 87 MB
% 2.55/1.28 % (1885150)Instructions burned: 120 (million)
% 2.55/1.28 % (1885152)Instruction limit reached!
% 2.55/1.28 % (1885152)------------------------------
% 2.55/1.28 % (1885152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (1885152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (1885152)CaDiCaL version: 2.1.3
% 2.55/1.28 % (1885152)Termination reason: Instruction limit
% 2.55/1.28 % (1885152)Termination phase: Saturation
% 2.55/1.28 % (1885152)Time elapsed: 0.050 s
% 2.55/1.28 % (1885152)Peak memory usage: 87 MB
% 2.55/1.28 % (1885152)Instructions burned: 131 (million)
% 2.55/1.28 % (1885160)lrs+10_1_sil=8000:sp=occurrence:random_seed=4185993445:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.55/1.28 % (1885161)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3431393225:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.55/1.28 % (1885161)Refutation not found, incomplete strategy
% 2.55/1.28 % (1885161)------------------------------
% 2.55/1.28 % (1885161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (1885161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (1885161)CaDiCaL version: 2.1.3
% 2.55/1.28 % (1885161)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.28 % (1885161)Time elapsed: 0.002 s
% 2.55/1.28 % (1885161)Peak memory usage: 88 MB
% 2.55/1.28 % (1885161)Instructions burned: 1 (million)
% 2.55/1.28 % (1885149)------------------------------
% 2.55/1.28 % (1885149)------------------------------
% 2.55/1.28 % (1885151)Refutation found. Thanks to Tanya!
% 2.55/1.28 % SZS status Theorem for theBenchmark
% 2.55/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.37 % (1885151)------------------------------
% 3.42/1.37 % (1885151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.37 % (1885151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.37 % (1885151)CaDiCaL version: 2.1.3
% 3.42/1.37 % (1885151)Termination reason: Refutation
% 3.42/1.37 % (1885151)Time elapsed: 0.014 s
% 3.42/1.37 % (1885151)Peak memory usage: 89 MB
% 3.42/1.37 % (1885151)Instructions burned: 17 (million)
% 3.42/1.37 % (1885151)------------------------------
% 3.42/1.37 % (1885151)------------------------------
% 3.42/1.37 % (1885141)Success in time 0.414 s
% 3.42/1.37 % Vampire exiting
%------------------------------------------------------------------------------