%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM095-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:11:44 PM UTC 2026
% Result : Unsatisfiable 6.00s 1.80s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 78 ( 29 unt; 5 def)
% Number of atoms : 153 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 152 ( 77 ~; 73 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f135,axiom,
! [X2,X0,X1] :
( ~ well_ordering(X0,X1)
| ~ subclass(X2,X1)
| X2 = null_class
| member(least(X0,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_ordering2) ).
fof(f136,plain,
! [X2,X0,X1] :
( member(least(X0,X2),X2)
| ~ subclass(X2,X1)
| null_class = X2
| ~ well_ordering(X0,X1) ),
inference(reorient_equations,[],[f135]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ section(X0,X1,X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',section1) ).
fof(f176,negated_conjecture,
well_ordering(xr,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property4_1) ).
fof(f177,negated_conjecture,
section(xr,w,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property4_2) ).
fof(f178,negated_conjecture,
~ member(least(xr,intersection(complement(w),y)),complement(w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property4_3) ).
fof(f179,negated_conjecture,
y != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property4_4) ).
fof(f204,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f276,definition,
sF0 = complement(w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
complement(w) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = intersection(sF0,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
intersection(sF0,y) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = least(xr,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
least(xr,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,plain,
~ member(sF2,sF0),
inference(definition_folding,[],[f178,f277,f281,f279,f277]) ).
fof(f283,plain,
subclass(w,y),
inference(resolution,[],[f177,f146]) ).
fof(f284,plain,
( ~ subclass(y,w)
| y = w ),
inference(resolution,[],[f283,f7]) ).
fof(f285,plain,
~ subclass(y,w),
inference(forward_subsumption_resolution,[],[f284,f179]) ).
fof(f286,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f21,f279]) ).
fof(f288,plain,
~ member(sF2,sF1),
inference(resolution,[],[f282,f286]) ).
fof(f289,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,universal_class)
| member(X0,w) ),
inference(superposition,[],[f25,f277]) ).
fof(f290,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f291,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f339,definition,
( spl3_7
<=> ! [X0] :
( ~ subclass(sF1,X0)
| ~ well_ordering(xr,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f340,plain,
( ! [X0] :
( ~ well_ordering(xr,X0)
| ~ subclass(sF1,X0) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f347,plain,
! [X0] :
( member(sF2,sF1)
| ~ subclass(sF1,X0)
| null_class = sF1
| ~ well_ordering(xr,X0) ),
inference(superposition,[],[f136,f281]) ).
fof(f348,plain,
! [X0] :
( ~ subclass(sF1,X0)
| null_class = sF1
| ~ well_ordering(xr,X0) ),
inference(forward_subsumption_resolution,[],[f347,f288]) ).
fof(f350,definition,
( spl3_8
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f352,plain,
( null_class = sF1
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f359,plain,
( spl3_8
| spl3_7 ),
inference(avatar_split_clause,[],[f348,f339,f350]) ).
fof(f414,plain,
( ~ subclass(sF1,y)
| ~ spl3_7 ),
inference(resolution,[],[f340,f176]) ).
fof(f415,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f291,f3]) ).
fof(f420,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f421,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f290,f3]) ).
fof(f426,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f421]) ).
fof(f493,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f420,f70]) ).
fof(f497,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f493,f7]) ).
fof(f498,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f548,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f498,f420]) ).
fof(f557,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(superposition,[],[f22,f548]) ).
fof(f598,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f204,f548]) ).
fof(f599,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f598]) ).
fof(f601,plain,
! [X0] : ~ member(X0,null_class),
inference(resolution,[],[f599,f557]) ).
fof(f668,plain,
( null_class = intersection(sF0,y)
| ~ spl3_8 ),
inference(forward_demodulation,[],[f279,f352]) ).
fof(f725,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,y)
| ~ member(X0,sF0) )
| ~ spl3_8 ),
inference(superposition,[],[f23,f668]) ).
fof(f730,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,y) )
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f725,f601]) ).
fof(f731,plain,
( ! [X0] :
( member(X0,w)
| ~ member(X0,universal_class)
| ~ member(X0,y) )
| ~ spl3_8 ),
inference(resolution,[],[f730,f289]) ).
fof(f750,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,w),y)
| ~ member(not_subclass_element(X0,w),universal_class)
| subclass(X0,w) )
| ~ spl3_8 ),
inference(resolution,[],[f731,f3]) ).
fof(f756,plain,
( ~ member(not_subclass_element(y,w),universal_class)
| subclass(y,w)
| subclass(y,w)
| ~ spl3_8 ),
inference(resolution,[],[f750,f2]) ).
fof(f765,plain,
( ~ member(not_subclass_element(y,w),universal_class)
| subclass(y,w)
| ~ spl3_8 ),
inference(duplicate_literal_removal,[],[f756]) ).
fof(f766,plain,
( ~ member(not_subclass_element(y,w),universal_class)
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f765,f285]) ).
fof(f769,plain,
( ! [X0] :
( ~ member(not_subclass_element(y,w),X0)
| ~ subclass(X0,universal_class) )
| ~ spl3_8 ),
inference(resolution,[],[f766,f1]) ).
fof(f770,plain,
( ! [X0] : ~ member(not_subclass_element(y,w),X0)
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f769,f4]) ).
fof(f771,plain,
( subclass(y,w)
| ~ spl3_8 ),
inference(resolution,[],[f770,f2]) ).
fof(f782,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f771,f285]) ).
fof(f783,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f804,plain,
subclass(sF1,y),
inference(superposition,[],[f426,f279]) ).
fof(f809,plain,
( $false
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f804,f414]) ).
fof(f810,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f809]) ).
cnf(s7,plain,
( spl3_7
| spl3_8 ),
inference(sat_conversion,[],[f359]) ).
cnf(s23,plain,
~ spl3_8,
inference(sat_conversion,[],[f783]) ).
cnf(s24,plain,
~ spl3_7,
inference(sat_conversion,[],[f810]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s7,s23,s24]) ).
fof(f811,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM095-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 18:52:00 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.00/1.80 % (2689822)Input is clausal, will run a generic CNF schedule.
% 6.00/1.80 % (2689832)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1405775399:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.00/1.80 % (2689833)dis-21_1_sil=8000:lcm=predicate:random_seed=4193221559: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)
% 6.00/1.80 % (2689829)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2636385157:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.00/1.80 % (2689828)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3562804790:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.00/1.80 % (2689827)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=3742739893:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.00/1.80 % (2689831)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3221523711:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.00/1.80 % (2689830)lrs+10_1_sil=8000:sp=occurrence:random_seed=1848952533:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.00/1.80 % (2689833)Instruction limit reached!
% 6.00/1.80 % (2689833)------------------------------
% 6.00/1.80 % (2689833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689833)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689833)Termination reason: Instruction limit
% 6.00/1.80 % (2689833)Termination phase: Saturation
% 6.00/1.80 % (2689833)Time elapsed: 0.069 s
% 6.00/1.80 % (2689833)Peak memory usage: 89 MB
% 6.00/1.80 % (2689833)Instructions burned: 118 (million)
% 6.00/1.80 % (2689831)Instruction limit reached!
% 6.00/1.80 % (2689831)------------------------------
% 6.00/1.80 % (2689831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689831)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689831)Termination reason: Instruction limit
% 6.00/1.80 % (2689831)Termination phase: Saturation
% 6.00/1.80 % (2689831)Time elapsed: 0.071 s
% 6.00/1.80 % (2689831)Peak memory usage: 89 MB
% 6.00/1.80 % (2689831)Instructions burned: 115 (million)
% 6.00/1.80 % (2689830)Instruction limit reached!
% 6.00/1.80 % (2689830)------------------------------
% 6.00/1.80 % (2689830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689830)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689830)Termination reason: Instruction limit
% 6.00/1.80 % (2689830)Termination phase: Saturation
% 6.00/1.80 % (2689830)Time elapsed: 0.072 s
% 6.00/1.80 % (2689830)Peak memory usage: 89 MB
% 6.00/1.80 % (2689830)Instructions burned: 108 (million)
% 6.00/1.80 % (2689832)Instruction limit reached!
% 6.00/1.80 % (2689832)------------------------------
% 6.00/1.80 % (2689832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689832)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689832)Termination reason: Instruction limit
% 6.00/1.80 % (2689832)Termination phase: Saturation
% 6.00/1.80 % (2689832)Time elapsed: 0.133 s
% 6.00/1.80 % (2689832)Peak memory usage: 90 MB
% 6.00/1.80 % (2689832)Instructions burned: 181 (million)
% 6.00/1.80 % (2689842)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3749728602:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.00/1.80 % (2689843)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=202904156:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.00/1.80 % (2689841)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2163184203:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.00/1.80 % (2689841)Refutation not found, incomplete strategy
% 6.00/1.80 % (2689841)------------------------------
% 6.00/1.80 % (2689841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689841)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689841)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.80 % (2689841)Time elapsed: 0.004 s
% 6.00/1.80 % (2689841)Peak memory usage: 88 MB
% 6.00/1.80 % (2689841)Instructions burned: 4 (million)
% 6.00/1.80 % (2689842)Instruction limit reached!
% 6.00/1.80 % (2689842)------------------------------
% 6.00/1.80 % (2689842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689842)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689842)Termination reason: Instruction limit
% 6.00/1.80 % (2689842)Termination phase: Saturation
% 6.00/1.80 % (2689842)Time elapsed: 0.061 s
% 6.00/1.80 % (2689842)Peak memory usage: 91 MB
% 6.00/1.80 % (2689842)Instructions burned: 191 (million)
% 6.00/1.80 % (2689844)lrs+10_64_to=lpo:sil=8000:random_seed=2226897840:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.00/1.80 % (2689843)Instruction limit reached!
% 6.00/1.80 % (2689843)------------------------------
% 6.00/1.80 % (2689843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689843)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689843)Termination reason: Instruction limit
% 6.00/1.80 % (2689843)Termination phase: Saturation
% 6.00/1.80 % (2689843)Time elapsed: 0.139 s
% 6.00/1.80 % (2689843)Peak memory usage: 89 MB
% 6.00/1.80 % (2689843)Instructions burned: 219 (million)
% 6.00/1.80 % (2689848)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3718060665:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.00/1.80 % (2689844)Instruction limit reached!
% 6.00/1.80 % (2689844)------------------------------
% 6.00/1.80 % (2689844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689844)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689844)Termination reason: Instruction limit
% 6.00/1.80 % (2689844)Termination phase: Saturation
% 6.00/1.80 % (2689844)Time elapsed: 0.080 s
% 6.00/1.80 % (2689844)Peak memory usage: 90 MB
% 6.00/1.80 % (2689844)Instructions burned: 127 (million)
% 6.00/1.80 % (2689848)Instruction limit reached!
% 6.00/1.80 % (2689848)------------------------------
% 6.00/1.80 % (2689848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689848)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689848)Termination reason: Instruction limit
% 6.00/1.80 % (2689848)Termination phase: Saturation
% 6.00/1.80 % (2689848)Time elapsed: 0.050 s
% 6.00/1.80 % (2689848)Peak memory usage: 90 MB
% 6.00/1.80 % (2689848)Instructions burned: 199 (million)
% 6.00/1.80 % (2689841)------------------------------
% 6.00/1.80 % (2689841)------------------------------
% 6.00/1.80 % (2689850)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=19722084:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.00/1.80 % (2689852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=767750065:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.00/1.80 % (2689853)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3323659515:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.00/1.80 % (2689853)Instruction limit reached!
% 6.00/1.80 % (2689853)------------------------------
% 6.00/1.80 % (2689853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689853)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689853)Termination reason: Instruction limit
% 6.00/1.80 % (2689853)Termination phase: Saturation
% 6.00/1.80 % (2689853)Time elapsed: 0.032 s
% 6.00/1.80 % (2689853)Peak memory usage: 89 MB
% 6.00/1.80 % (2689853)Instructions burned: 107 (million)
% 6.00/1.80 % (2689850)Instruction limit reached!
% 6.00/1.80 % (2689850)------------------------------
% 6.00/1.80 % (2689850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689850)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689850)Termination reason: Instruction limit
% 6.00/1.80 % (2689850)Termination phase: Saturation
% 6.00/1.80 % (2689850)Time elapsed: 0.112 s
% 6.00/1.80 % (2689850)Peak memory usage: 91 MB
% 6.00/1.80 % (2689850)Instructions burned: 158 (million)
% 6.00/1.80 % (2689854)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=107645696:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.00/1.80 % (2689858)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=460624218:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.00/1.80 % (2689854)Instruction limit reached!
% 6.00/1.80 % (2689854)------------------------------
% 6.00/1.80 % (2689854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689854)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689854)Termination reason: Instruction limit
% 6.00/1.80 % (2689854)Termination phase: Saturation
% 6.00/1.80 % (2689854)Time elapsed: 0.071 s
% 6.00/1.80 % (2689854)Peak memory usage: 89 MB
% 6.00/1.80 % (2689854)Instructions burned: 107 (million)
% 6.00/1.80 % (2689829)First to succeed.
% 6.00/1.80 % (2689829)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2689822"
% 6.00/1.80 % (2689858)Instruction limit reached!
% 6.00/1.80 % (2689858)------------------------------
% 6.00/1.80 % (2689858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689858)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689858)Termination reason: Instruction limit
% 6.00/1.80 % (2689858)Termination phase: Saturation
% 6.00/1.80 % (2689858)Time elapsed: 0.083 s
% 6.00/1.80 % (2689858)Peak memory usage: 91 MB
% 6.00/1.80 % (2689858)Instructions burned: 243 (million)
% 6.00/1.80 % (2689859)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=185913469:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.00/1.80 % (2689827)Also succeeded, but the first one will report.
% 6.00/1.80 % (2689862)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3533632490:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.00/1.80 % (2689863)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4035363138:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.00/1.80 % (2689862)Instruction limit reached!
% 6.00/1.80 % (2689862)------------------------------
% 6.00/1.80 % (2689862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.00/1.80 % (2689862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.80 % (2689862)CaDiCaL version: 2.1.3
% 6.00/1.80 % (2689862)Termination reason: Instruction limit
% 6.00/1.80 % (2689862)Termination phase: Saturation
% 6.00/1.80 % (2689862)Time elapsed: 0.095 s
% 6.00/1.80 % (2689862)Peak memory usage: 90 MB
% 6.00/1.80 % (2689862)Instructions burned: 135 (million)
% 6.00/1.80 % (2689829)Refutation found. Thanks to Tanya!
% 6.00/1.80 % SZS status Unsatisfiable for theBenchmark
% 6.00/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 8.57/1.99 % (2689829)------------------------------
% 8.57/1.99 % (2689829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/1.99 % (2689829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/1.99 % (2689829)CaDiCaL version: 2.1.3
% 8.57/1.99 % (2689829)Termination reason: Refutation
% 8.57/1.99 % (2689829)Time elapsed: 0.740 s
% 8.57/1.99 % (2689829)Peak memory usage: 130 MB
% 8.57/1.99 % (2689829)Instructions burned: 1098 (million)
% 8.57/1.99 % (2689829)------------------------------
% 8.57/1.99 % (2689829)------------------------------
% 8.57/1.99 % (2689822)Success in time 1.179 s
% 8.57/1.99 % Vampire exiting
%------------------------------------------------------------------------------