%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET506-6 : 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 : 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 12:41:03 PM UTC 2026
% Result : Unsatisfiable 4.90s 1.65s
% Output : Refutation 6.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 27 unt; 6 def)
% Number of atoms : 186 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 174 ( 84 ~; 84 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn 65 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
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(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f48,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).
fof(f50,axiom,
! [X0] :
( ~ member(null_class,X0)
| ~ subclass(image(successor_relation,X0),X0)
| inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive3) ).
fof(f51,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f53,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
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(f78,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_relation) ).
fof(f122,negated_conjecture,
universal_class = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).
fof(f124,plain,
! [X0] : inverse(X0) = domain_of(flip(cross_product(X0,null_class))),
inference(definition_unfolding,[],[f39,f122]) ).
fof(f125,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,null_class)))),
inference(definition_unfolding,[],[f40,f124]) ).
fof(f126,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,null_class)),null_class)))),
inference(definition_unfolding,[],[f43,f125,f28,f122]) ).
fof(f137,plain,
! [X0] : subclass(X0,null_class),
inference(definition_unfolding,[],[f4,f122]) ).
fof(f140,plain,
! [X0,X1] : member(unordered_pair(X0,X1),null_class),
inference(definition_unfolding,[],[f11,f122]) ).
fof(f149,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f162,plain,
! [X0] :
( inductive(X0)
| ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(X0,null_class)),null_class)))),X0)
| ~ member(null_class,X0) ),
inference(definition_unfolding,[],[f50,f126]) ).
fof(f163,plain,
member(omega,null_class),
inference(definition_unfolding,[],[f53,f122]) ).
fof(f178,plain,
subset_relation = intersection(cross_product(null_class,null_class),intersection(cross_product(null_class,null_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class))))))),
inference(definition_unfolding,[],[f78,f122,f122,f122,f122,f124]) ).
fof(f225,plain,
! [X0,X1] :
( member(null_class,X0)
| ~ inductive(intersection(X0,X1)) ),
inference(resolution,[],[f21,f48]) ).
fof(f238,definition,
( spl0_2
<=> null_class = subset_relation ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f239,plain,
( null_class != subset_relation
| spl0_2 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( null_class = subset_relation
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f267,plain,
! [X0] :
( member(X0,intersection(cross_product(null_class,null_class),complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))))))
| ~ member(X0,subset_relation) ),
inference(superposition,[],[f22,f178]) ).
fof(f269,plain,
! [X0] :
( member(X0,complement(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class))))))
| ~ member(X0,subset_relation) ),
inference(resolution,[],[f267,f22]) ).
fof(f271,plain,
! [X0] :
( ~ member(X0,compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))))
| ~ member(X0,subset_relation) ),
inference(resolution,[],[f269,f24]) ).
fof(f273,plain,
! [X0] :
( ~ member(null_class,subset_relation)
| ~ inductive(intersection(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))),X0)) ),
inference(resolution,[],[f271,f225]) ).
fof(f278,definition,
( spl0_7
<=> null_class = compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f280,plain,
( null_class = compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class))))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f300,definition,
( spl0_12
<=> member(null_class,subset_relation) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f302,plain,
( ~ member(null_class,subset_relation)
| spl0_12 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f305,definition,
( spl0_13
<=> ! [X0] : ~ inductive(intersection(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f306,plain,
( ! [X0] : ~ inductive(intersection(compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))),X0))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f273,f300,f305]) ).
fof(f310,plain,
( ~ inductive(subset_relation)
| spl0_12 ),
inference(resolution,[],[f302,f48]) ).
fof(f326,plain,
! [X0,X1] :
( ~ subclass(X1,compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class)))))
| ~ member(X0,X1)
| ~ member(X0,subset_relation) ),
inference(resolution,[],[f1,f271]) ).
fof(f841,plain,
! [X0] :
( member(omega,intersection(X0,regular(X0)))
| null_class = X0 ),
inference(superposition,[],[f163,f70]) ).
fof(f933,plain,
( ~ inductive(null_class)
| null_class = compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class))))
| ~ spl0_13 ),
inference(superposition,[],[f306,f70]) ).
fof(f936,definition,
( spl0_60
<=> inductive(null_class) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f937,plain,
( inductive(null_class)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f938,plain,
( ~ inductive(null_class)
| spl0_60 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f939,plain,
( spl0_7
| ~ spl0_60
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f933,f305,f936,f278]) ).
fof(f944,plain,
( ~ subclass(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(null_class,null_class)),null_class)))),null_class)
| ~ member(null_class,null_class)
| spl0_60 ),
inference(resolution,[],[f938,f162]) ).
fof(f946,plain,
( ~ member(null_class,null_class)
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f944,f137]) ).
fof(f955,plain,
( ! [X0] :
( ~ member(null_class,X0)
| ~ subclass(X0,null_class) )
| spl0_60 ),
inference(resolution,[],[f946,f1]) ).
fof(f957,plain,
( ! [X0] : ~ member(null_class,X0)
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f955,f137]) ).
fof(f959,plain,
! [X0] :
( member(omega,X0)
| null_class = X0 ),
inference(resolution,[],[f841,f21]) ).
fof(f963,plain,
( ! [X0] : ~ inductive(X0)
| spl0_60 ),
inference(resolution,[],[f957,f48]) ).
fof(f978,plain,
( null_class = compose(complement(element_relation),domain_of(flip(cross_product(element_relation,null_class))))
| ~ member(omega,subset_relation) ),
inference(resolution,[],[f959,f271]) ).
fof(f980,definition,
( spl0_62
<=> member(omega,subset_relation) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f982,plain,
( ~ member(omega,subset_relation)
| spl0_62 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f983,plain,
( ~ spl0_62
| spl0_7 ),
inference(avatar_split_clause,[],[f978,f278,f980]) ).
fof(f985,plain,
( $false
| spl0_60 ),
inference(resolution,[],[f963,f51]) ).
fof(f986,plain,
spl0_60,
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f988,plain,
( ! [X0] :
( member(X0,intersection(cross_product(null_class,null_class),complement(null_class)))
| ~ member(X0,subset_relation) )
| ~ spl0_7 ),
inference(backward_demodulation,[],[f267,f280]) ).
fof(f996,plain,
( ! [X0,X1] :
( ~ subclass(X1,null_class)
| ~ member(X0,X1)
| ~ member(X0,subset_relation) )
| ~ spl0_7 ),
inference(backward_demodulation,[],[f326,f280]) ).
fof(f1041,plain,
( ! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,subset_relation) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f996,f137]) ).
fof(f1045,plain,
( ! [X0] :
( member(X0,intersection(complement(null_class),cross_product(null_class,null_class)))
| ~ member(X0,subset_relation) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f988,f149]) ).
fof(f1053,plain,
( ! [X0] : ~ member(X0,subset_relation)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1045,f1041]) ).
fof(f1119,plain,
( null_class = subset_relation
| ~ spl0_7 ),
inference(resolution,[],[f1053,f68]) ).
fof(f1122,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1119,f278,f238]) ).
fof(f1129,plain,
( ! [X0,X1] : member(unordered_pair(X0,X1),subset_relation)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f140,f240]) ).
fof(f1427,plain,
( inductive(subset_relation)
| ~ spl0_2
| ~ spl0_60 ),
inference(backward_demodulation,[],[f937,f240]) ).
fof(f1480,plain,
( $false
| ~ spl0_2
| spl0_12
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1427,f310]) ).
fof(f1481,plain,
( ~ spl0_2
| spl0_12
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1567,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f1129,f1053]) ).
fof(f1568,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1620,plain,
( null_class = subset_relation
| spl0_62 ),
inference(resolution,[],[f959,f982]) ).
fof(f1626,plain,
( $false
| spl0_2
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f1620,f239]) ).
fof(f1627,plain,
( spl0_2
| spl0_62 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
cnf(s6,plain,
( ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f307]) ).
cnf(s31,plain,
( spl0_7
| ~ spl0_13
| ~ spl0_60 ),
inference(sat_conversion,[],[f939]) ).
cnf(s33,plain,
( spl0_7
| ~ spl0_62 ),
inference(sat_conversion,[],[f983]) ).
cnf(s34,plain,
spl0_60,
inference(sat_conversion,[],[f986]) ).
cnf(s41,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s45,plain,
( ~ spl0_2
| spl0_12
| ~ spl0_60 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f1568]) ).
cnf(s49,plain,
( spl0_2
| spl0_62 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s51,plain,
( spl0_7
| ~ spl0_13 ),
inference(rat,[],[s31,s34]) ).
cnf(s52,plain,
spl0_2,
inference(rat,[],[s33,s41,s49]) ).
cnf(s53,plain,
~ spl0_7,
inference(rat,[],[s47,s52]) ).
cnf(s54,plain,
spl0_12,
inference(rat,[],[s45,s34,s52]) ).
cnf(s56,plain,
~ spl0_13,
inference(rat,[],[s51,s53]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s6,s56,s54]) ).
fof(f1628,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET506-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.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 : Mon Sep 28 02:03:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.90/1.65 % (1118624)Input is clausal, will run a generic CNF schedule.
% 4.90/1.65 % (1118632)lrs+10_1_sil=8000:sp=occurrence:random_seed=3134608108:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.90/1.65 % (1118632)Refutation not found, incomplete strategy
% 4.90/1.65 % (1118632)------------------------------
% 4.90/1.65 % (1118632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118632)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118632)Termination reason: Refutation not found, incomplete strategy
% 4.90/1.65 % (1118632)Time elapsed: 0.0000 s
% 4.90/1.65 % (1118632)Peak memory usage: 87 MB
% 4.90/1.65 % (1118629)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=4287804711:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.90/1.65 % (1118631)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1479013800:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.90/1.65 % (1118630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2008608336:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.90/1.65 % (1118633)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3100411353:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.90/1.65 % (1118634)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=499508280:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.90/1.65 % (1118635)dis-21_1_sil=8000:lcm=predicate:random_seed=2240951558: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)
% 4.90/1.65 % (1118633)Instruction limit reached!
% 4.90/1.65 % (1118633)------------------------------
% 4.90/1.65 % (1118633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118633)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118633)Termination reason: Instruction limit
% 4.90/1.65 % (1118633)Termination phase: Saturation
% 4.90/1.65 % (1118633)Time elapsed: 0.071 s
% 4.90/1.65 % (1118633)Peak memory usage: 89 MB
% 4.90/1.65 % (1118633)Instructions burned: 115 (million)
% 4.90/1.65 % (1118635)Instruction limit reached!
% 4.90/1.65 % (1118635)------------------------------
% 4.90/1.65 % (1118635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118635)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118635)Termination reason: Instruction limit
% 4.90/1.65 % (1118635)Termination phase: Saturation
% 4.90/1.65 % (1118635)Time elapsed: 0.071 s
% 4.90/1.65 % (1118635)Peak memory usage: 89 MB
% 4.90/1.65 % (1118635)Instructions burned: 117 (million)
% 4.90/1.65 % (1118632)------------------------------
% 4.90/1.65 % (1118632)------------------------------
% 4.90/1.65 % (1118634)Instruction limit reached!
% 4.90/1.65 % (1118634)------------------------------
% 4.90/1.65 % (1118634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118634)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118634)Termination reason: Instruction limit
% 4.90/1.65 % (1118634)Termination phase: Saturation
% 4.90/1.65 % (1118634)Time elapsed: 0.115 s
% 4.90/1.65 % (1118634)Peak memory usage: 90 MB
% 4.90/1.65 % (1118634)Instructions burned: 181 (million)
% 4.90/1.65 % (1118645)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3054654392:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.90/1.65 % (1118643)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=3204588336:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.90/1.65 % (1118644)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2359711816: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)
% 4.90/1.65 % (1118646)lrs+10_64_to=lpo:sil=8000:random_seed=324220545:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.90/1.65 % (1118645)Instruction limit reached!
% 4.90/1.65 % (1118645)------------------------------
% 4.90/1.65 % (1118645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118645)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118645)Termination reason: Instruction limit
% 4.90/1.65 % (1118645)Termination phase: Saturation
% 4.90/1.65 % (1118645)Time elapsed: 0.074 s
% 4.90/1.65 % (1118645)Peak memory usage: 90 MB
% 4.90/1.65 % (1118645)Instructions burned: 222 (million)
% 4.90/1.65 % (1118644)Instruction limit reached!
% 4.90/1.65 % (1118644)------------------------------
% 4.90/1.65 % (1118644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118644)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118644)Termination reason: Instruction limit
% 4.90/1.65 % (1118644)Termination phase: Saturation
% 4.90/1.65 % (1118644)Time elapsed: 0.088 s
% 4.90/1.65 % (1118644)Peak memory usage: 90 MB
% 4.90/1.65 % (1118644)Instructions burned: 189 (million)
% 4.90/1.65 % (1118643)Instruction limit reached!
% 4.90/1.65 % (1118643)------------------------------
% 4.90/1.65 % (1118643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118643)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118643)Termination reason: Instruction limit
% 4.90/1.65 % (1118643)Termination phase: Saturation
% 4.90/1.65 % (1118643)Time elapsed: 0.093 s
% 4.90/1.65 % (1118643)Peak memory usage: 89 MB
% 4.90/1.65 % (1118643)Instructions burned: 144 (million)
% 4.90/1.65 % (1118646)Instruction limit reached!
% 4.90/1.65 % (1118646)------------------------------
% 4.90/1.65 % (1118646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118646)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118646)Termination reason: Instruction limit
% 4.90/1.65 % (1118646)Termination phase: Saturation
% 4.90/1.65 % (1118646)Time elapsed: 0.066 s
% 4.90/1.65 % (1118646)Peak memory usage: 90 MB
% 4.90/1.65 % (1118646)Instructions burned: 127 (million)
% 4.90/1.65 % (1118651)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=48431988:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.90/1.65 % (1118653)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=901158213:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.90/1.65 % (1118652)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4008139813:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.90/1.65 % (1118651)First to succeed.
% 4.90/1.65 % (1118651)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1118624"
% 4.90/1.65 % (1118654)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=4041825911:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.90/1.65 % (1118654)Also succeeded, but the first one will report.
% 4.90/1.65 % (1118652)Instruction limit reached!
% 4.90/1.65 % (1118652)------------------------------
% 4.90/1.65 % (1118652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.65 % (1118652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.65 % (1118652)CaDiCaL version: 2.1.3
% 4.90/1.65 % (1118652)Termination reason: Instruction limit
% 4.90/1.65 % (1118652)Termination phase: Saturation
% 4.90/1.65 % (1118652)Time elapsed: 0.106 s
% 4.90/1.65 % (1118652)Peak memory usage: 91 MB
% 4.90/1.65 % (1118652)Instructions burned: 157 (million)
% 4.90/1.65 % (1118651)Refutation found. Thanks to Tanya!
% 4.90/1.65 % SZS status Unsatisfiable for theBenchmark
% 4.90/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.14/1.85 % (1118651)------------------------------
% 6.14/1.85 % (1118651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.14/1.85 % (1118651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.85 % (1118651)CaDiCaL version: 2.1.3
% 6.14/1.85 % (1118651)Termination reason: Refutation
% 6.14/1.85 % (1118651)Time elapsed: 0.058 s
% 6.14/1.85 % (1118651)Peak memory usage: 91 MB
% 6.14/1.85 % (1118651)Instructions burned: 183 (million)
% 6.14/1.85 % (1118651)------------------------------
% 6.14/1.85 % (1118651)------------------------------
% 6.14/1.85 % (1118624)Success in time 0.789 s
% 6.14/1.85 % Vampire exiting
%------------------------------------------------------------------------------