%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET098-6 : 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 : n009.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 12:40:06 PM UTC 2026
% Result : Unsatisfiable 7.40s 1.89s
% Output : Refutation 9.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 114 ( 34 unt; 9 def)
% Number of atoms : 223 ( 47 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 196 ( 87 ~; 105 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,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(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
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(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(f101,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
fof(f102,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
fof(f103,plain,
x != singleton(not_subclass_element(x,null_class)),
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
fof(f105,plain,
null_class != x,
inference(reorient_equations,[],[f104]) ).
fof(f154,plain,
~ member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),null_class),x),
inference(definition_unfolding,[],[f101,f12]) ).
fof(f155,plain,
x != unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),
inference(definition_unfolding,[],[f103,f12]) ).
fof(f159,definition,
sF0 = not_subclass_element(x,null_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f160,plain,
not_subclass_element(x,null_class) = sF0,
inference(reorient_equations,[],[f159]) ).
fof(f161,definition,
sF1 = unordered_pair(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f162,plain,
unordered_pair(sF0,sF0) = sF1,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f164,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF3 = intersection(sF2,x),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f166,plain,
intersection(sF2,x) = sF3,
inference(reorient_equations,[],[f165]) ).
fof(f167,definition,
sF4 = not_subclass_element(sF3,null_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f168,plain,
not_subclass_element(sF3,null_class) = sF4,
inference(reorient_equations,[],[f167]) ).
fof(f169,plain,
~ member(sF4,x),
inference(definition_folding,[],[f154,f168,f166,f164,f162,f160,f160]) ).
fof(f170,plain,
x != sF1,
inference(definition_folding,[],[f155,f162,f160,f160]) ).
fof(f171,plain,
( member(sF0,x)
| subclass(x,null_class) ),
inference(superposition,[],[f2,f160]) ).
fof(f173,definition,
( spl5_1
<=> subclass(x,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f175,plain,
( subclass(x,null_class)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f177,definition,
( spl5_2
<=> member(sF0,x) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f179,plain,
( member(sF0,x)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f171,f177,f173]) ).
fof(f183,definition,
( spl5_3
<=> subclass(sF3,null_class) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f184,plain,
( ~ subclass(sF3,null_class)
| spl5_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f185,plain,
( subclass(sF3,null_class)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f191,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f192,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f21,f166]) ).
fof(f193,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f194,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,x) ),
inference(superposition,[],[f22,f166]) ).
fof(f195,plain,
! [X0] :
( member(not_subclass_element(sF3,X0),x)
| subclass(sF3,X0) ),
inference(resolution,[],[f194,f2]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0
| sF0 = X0 ),
inference(superposition,[],[f8,f162]) ).
fof(f198,plain,
! [X0] :
( ~ member(X0,sF1)
| sF0 = X0 ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f25,f164]) ).
fof(f221,definition,
( spl5_7
<=> null_class = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f223,plain,
( null_class = sF3
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f261,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f265,plain,
! [X0] :
( subclass(sF1,X0)
| sF0 = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f198,f2]) ).
fof(f283,plain,
( ~ subclass(null_class,sF3)
| null_class = sF3
| ~ spl5_3 ),
inference(resolution,[],[f185,f7]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f292,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,x)
| member(X0,sF3) ),
inference(superposition,[],[f23,f166]) ).
fof(f297,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f191,f3]) ).
fof(f308,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f297]) ).
fof(f309,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f193,f3]) ).
fof(f320,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f326,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f164]) ).
fof(f342,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF2)
| member(not_subclass_element(X0,X1),sF1) ),
inference(resolution,[],[f261,f209]) ).
fof(f354,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF1)
| member(not_subclass_element(X0,X1),sF2)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f342,f4]) ).
fof(f355,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1)
| subclass(X0,sF1) ),
inference(resolution,[],[f354,f3]) ).
fof(f360,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),sF2)
| subclass(X0,sF1) ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f388,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f308,f70]) ).
fof(f389,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f388,f7]) ).
fof(f390,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f389]) ).
fof(f391,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f390,f308]) ).
fof(f404,plain,
( null_class = sF3
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f283,f388]) ).
fof(f448,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f320,f391]) ).
fof(f449,plain,
( ! [X0] : subclass(sF3,X0)
| ~ spl5_7 ),
inference(forward_demodulation,[],[f448,f223]) ).
fof(f477,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF1),x)
| subclass(X0,sF1)
| member(not_subclass_element(X0,sF1),sF3) ),
inference(resolution,[],[f360,f292]) ).
fof(f543,plain,
( member(sF4,x)
| subclass(sF3,null_class) ),
inference(superposition,[],[f195,f168]) ).
fof(f629,plain,
subclass(sF3,null_class),
inference(forward_subsumption_resolution,[],[f543,f169]) ).
fof(f645,plain,
( $false
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f629,f184]) ).
fof(f646,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f647,plain,
( spl5_7
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f404,f183,f221]) ).
fof(f651,plain,
( ~ subclass(null_class,x)
| null_class = x
| ~ spl5_1 ),
inference(resolution,[],[f175,f7]) ).
fof(f652,plain,
( null_class = x
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f651,f388]) ).
fof(f655,plain,
( $false
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f652,f105]) ).
fof(f656,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f1699,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),sF3)
| subclass(x,sF1) ),
inference(resolution,[],[f477,f2]) ).
fof(f1708,plain,
( subclass(x,sF1)
| member(not_subclass_element(x,sF1),sF3) ),
inference(duplicate_literal_removal,[],[f1699]) ).
fof(f1820,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f291,f261]) ).
fof(f1838,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f1820]) ).
fof(f1882,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f1838,f2]) ).
fof(f1908,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f1882]) ).
fof(f1924,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f1908,f7]) ).
fof(f1935,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1924,f308]) ).
fof(f1949,plain,
! [X0] :
( sF0 = not_subclass_element(sF1,X0)
| sF1 = intersection(sF1,X0) ),
inference(resolution,[],[f1935,f265]) ).
fof(f1991,plain,
! [X0] :
( ~ member(sF0,X0)
| subclass(sF1,X0)
| sF1 = intersection(sF1,X0) ),
inference(superposition,[],[f3,f1949]) ).
fof(f2009,plain,
! [X0] :
( ~ member(sF0,X0)
| sF1 = intersection(sF1,X0) ),
inference(forward_subsumption_resolution,[],[f1991,f1935]) ).
fof(f2011,plain,
( sF1 = intersection(sF1,x)
| ~ spl5_2 ),
inference(resolution,[],[f2009,f179]) ).
fof(f2035,plain,
( subclass(sF1,x)
| ~ spl5_2 ),
inference(superposition,[],[f320,f2011]) ).
fof(f2040,plain,
( ~ subclass(x,sF1)
| x = sF1
| ~ spl5_2 ),
inference(resolution,[],[f2035,f7]) ).
fof(f2041,plain,
( ~ subclass(x,sF1)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f2040,f170]) ).
fof(f2578,plain,
( member(not_subclass_element(x,sF1),sF3)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f1708,f2041]) ).
fof(f2601,plain,
( member(not_subclass_element(x,sF1),sF2)
| ~ spl5_2 ),
inference(resolution,[],[f2578,f192]) ).
fof(f2605,plain,
( ! [X0] :
( ~ subclass(sF3,X0)
| member(not_subclass_element(x,sF1),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f2578,f1]) ).
fof(f2606,plain,
( ! [X0] : member(not_subclass_element(x,sF1),X0)
| ~ spl5_2
| ~ spl5_7 ),
inference(forward_subsumption_resolution,[],[f2605,f449]) ).
fof(f2615,plain,
( ~ member(not_subclass_element(x,sF1),sF1)
| ~ spl5_2 ),
inference(resolution,[],[f2601,f326]) ).
fof(f2619,plain,
( $false
| ~ spl5_2
| ~ spl5_7 ),
inference(forward_subsumption_resolution,[],[f2615,f2606]) ).
fof(f2620,plain,
( ~ spl5_2
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f2619]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f180]) ).
cnf(s24,plain,
spl5_3,
inference(sat_conversion,[],[f646]) ).
cnf(s25,plain,
( ~ spl5_3
| spl5_7 ),
inference(sat_conversion,[],[f647]) ).
cnf(s29,plain,
~ spl5_1,
inference(sat_conversion,[],[f656]) ).
cnf(s97,plain,
( ~ spl5_2
| ~ spl5_7 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s98,plain,
spl5_7,
inference(rat,[],[s25,s24]) ).
cnf(s99,plain,
~ spl5_2,
inference(rat,[],[s97,s98]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s1,s99,s29]) ).
fof(f2621,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET098-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:40:30 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 7.40/1.89 % (2567889)Input is clausal, will run a generic CNF schedule.
% 7.40/1.89 % (2567899)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4242055192:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.40/1.89 % (2567900)dis-21_1_sil=8000:lcm=predicate:random_seed=3298993606: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)
% 7.40/1.89 % (2567897)lrs+10_1_sil=8000:sp=occurrence:random_seed=2938028186:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.40/1.89 % (2567896)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4123902399:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.40/1.89 % (2567895)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1096075237:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.40/1.89 % (2567898)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2355102211:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.40/1.89 % (2567894)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=174667646:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.40/1.89 % (2567900)Instruction limit reached!
% 7.40/1.89 % (2567900)------------------------------
% 7.40/1.89 % (2567900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567900)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567900)Termination reason: Instruction limit
% 7.40/1.89 % (2567900)Termination phase: Saturation
% 7.40/1.89 % (2567900)Time elapsed: 0.068 s
% 7.40/1.89 % (2567900)Peak memory usage: 89 MB
% 7.40/1.89 % (2567900)Instructions burned: 119 (million)
% 7.40/1.89 % (2567898)Instruction limit reached!
% 7.40/1.89 % (2567898)------------------------------
% 7.40/1.89 % (2567898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567898)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567898)Termination reason: Instruction limit
% 7.40/1.89 % (2567898)Termination phase: Saturation
% 7.40/1.89 % (2567898)Time elapsed: 0.068 s
% 7.40/1.89 % (2567898)Peak memory usage: 89 MB
% 7.40/1.89 % (2567898)Instructions burned: 114 (million)
% 7.40/1.89 % (2567897)Instruction limit reached!
% 7.40/1.89 % (2567897)------------------------------
% 7.40/1.89 % (2567897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567897)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567897)Termination reason: Instruction limit
% 7.40/1.89 % (2567897)Termination phase: Saturation
% 7.40/1.89 % (2567897)Time elapsed: 0.071 s
% 7.40/1.89 % (2567897)Peak memory usage: 90 MB
% 7.40/1.89 % (2567897)Instructions burned: 108 (million)
% 7.40/1.89 % (2567899)Instruction limit reached!
% 7.40/1.89 % (2567899)------------------------------
% 7.40/1.89 % (2567899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567899)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567899)Termination reason: Instruction limit
% 7.40/1.89 % (2567899)Termination phase: Saturation
% 7.40/1.89 % (2567899)Time elapsed: 0.131 s
% 7.40/1.89 % (2567899)Peak memory usage: 90 MB
% 7.40/1.89 % (2567899)Instructions burned: 180 (million)
% 7.40/1.89 % (2567910)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3393119510:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.40/1.89 % (2567909)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2297894165: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)
% 7.40/1.89 % (2567908)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=985432620:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.40/1.89 % (2567908)Refutation not found, incomplete strategy
% 7.40/1.89 % (2567908)------------------------------
% 7.40/1.89 % (2567908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567908)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567908)Termination reason: Refutation not found, incomplete strategy
% 7.40/1.89 % (2567908)Time elapsed: 0.003 s
% 7.40/1.89 % (2567908)Peak memory usage: 88 MB
% 7.40/1.89 % (2567908)Instructions burned: 4 (million)
% 7.40/1.89 % (2567911)lrs+10_64_to=lpo:sil=8000:random_seed=1372563028:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.40/1.89 % (2567911)Instruction limit reached!
% 7.40/1.89 % (2567911)------------------------------
% 7.40/1.89 % (2567911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567911)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567911)Termination reason: Instruction limit
% 7.40/1.89 % (2567911)Termination phase: Saturation
% 7.40/1.89 % (2567911)Time elapsed: 0.043 s
% 7.40/1.89 % (2567911)Peak memory usage: 89 MB
% 7.40/1.89 % (2567911)Instructions burned: 126 (million)
% 7.40/1.89 % (2567909)Instruction limit reached!
% 7.40/1.89 % (2567909)------------------------------
% 7.40/1.89 % (2567909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567909)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567909)Termination reason: Instruction limit
% 7.40/1.89 % (2567909)Termination phase: Saturation
% 7.40/1.89 % (2567909)Time elapsed: 0.112 s
% 7.40/1.89 % (2567909)Peak memory usage: 91 MB
% 7.40/1.89 % (2567909)Instructions burned: 190 (million)
% 7.40/1.89 % (2567910)Instruction limit reached!
% 7.40/1.89 % (2567910)------------------------------
% 7.40/1.89 % (2567910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567910)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567910)Termination reason: Instruction limit
% 7.40/1.89 % (2567910)Termination phase: Saturation
% 7.40/1.89 % (2567910)Time elapsed: 0.125 s
% 7.40/1.89 % (2567910)Peak memory usage: 89 MB
% 7.40/1.89 % (2567910)Instructions burned: 219 (million)
% 7.40/1.89 % (2567916)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=728859636:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.40/1.89 % (2567908)------------------------------
% 7.40/1.89 % (2567908)------------------------------
% 7.40/1.89 % (2567917)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1056035766:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.40/1.89 % (2567918)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4017037258:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.40/1.89 % (2567916)Instruction limit reached!
% 7.40/1.89 % (2567916)------------------------------
% 7.40/1.89 % (2567916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567916)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567916)Termination reason: Instruction limit
% 7.40/1.89 % (2567916)Termination phase: Saturation
% 7.40/1.89 % (2567916)Time elapsed: 0.068 s
% 7.40/1.89 % (2567916)Peak memory usage: 89 MB
% 7.40/1.89 % (2567916)Instructions burned: 195 (million)
% 7.40/1.89 % (2567917)Instruction limit reached!
% 7.40/1.89 % (2567917)------------------------------
% 7.40/1.89 % (2567917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567917)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567917)Termination reason: Instruction limit
% 7.40/1.89 % (2567917)Termination phase: Saturation
% 7.40/1.89 % (2567917)Time elapsed: 0.108 s
% 7.40/1.89 % (2567917)Peak memory usage: 91 MB
% 7.40/1.89 % (2567917)Instructions burned: 158 (million)
% 7.40/1.89 % (2567920)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=3612775826:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.40/1.89 % (2567923)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=423566663:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.40/1.89 % (2567923)Refutation not found, incomplete strategy
% 7.40/1.89 % (2567923)------------------------------
% 7.40/1.89 % (2567923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567923)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567923)Termination reason: Refutation not found, incomplete strategy
% 7.40/1.89 % (2567923)Time elapsed: 0.003 s
% 7.40/1.89 % (2567923)Peak memory usage: 88 MB
% 7.40/1.89 % (2567923)Instructions burned: 7 (million)
% 7.40/1.89 % (2567920)Instruction limit reached!
% 7.40/1.89 % (2567920)------------------------------
% 7.40/1.89 % (2567920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567920)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567920)Termination reason: Instruction limit
% 7.40/1.89 % (2567920)Termination phase: Saturation
% 7.40/1.89 % (2567920)Time elapsed: 0.065 s
% 7.40/1.89 % (2567920)Peak memory usage: 90 MB
% 7.40/1.89 % (2567920)Instructions burned: 107 (million)
% 7.40/1.89 % (2567924)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=123538754:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.40/1.89 % (2567923)------------------------------
% 7.40/1.89 % (2567923)------------------------------
% 7.40/1.89 % (2567927)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2385761371:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.40/1.89 % (2567894)First to succeed.
% 7.40/1.89 % (2567894)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2567889"
% 7.40/1.89 % (2567929)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3257908573:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.40/1.89 % (2567924)Instruction limit reached!
% 7.40/1.89 % (2567924)------------------------------
% 7.40/1.89 % (2567924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567924)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567924)Termination reason: Instruction limit
% 7.40/1.89 % (2567924)Termination phase: Saturation
% 7.40/1.89 % (2567924)Time elapsed: 0.165 s
% 7.40/1.89 % (2567924)Peak memory usage: 91 MB
% 7.40/1.89 % (2567924)Instructions burned: 242 (million)
% 7.40/1.89 % (2567929)Instruction limit reached!
% 7.40/1.89 % (2567929)------------------------------
% 7.40/1.89 % (2567929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/1.89 % (2567929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/1.89 % (2567929)CaDiCaL version: 2.1.3
% 7.40/1.89 % (2567929)Termination reason: Instruction limit
% 7.40/1.89 % (2567929)Termination phase: Saturation
% 7.40/1.89 % (2567929)Time elapsed: 0.056 s
% 7.40/1.89 % (2567929)Peak memory usage: 90 MB
% 7.40/1.89 % (2567929)Instructions burned: 136 (million)
% 7.40/1.89 % (2567932)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1564112081:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.40/1.89 % (2567933)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2435134077:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 7.40/1.89 % (2567894)Refutation found. Thanks to Tanya!
% 7.40/1.89 % SZS status Unsatisfiable for theBenchmark
% 7.40/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.47/2.09 % (2567894)------------------------------
% 9.47/2.09 % (2567894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.09 % (2567894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.09 % (2567894)CaDiCaL version: 2.1.3
% 9.47/2.09 % (2567894)Termination reason: Refutation
% 9.47/2.09 % (2567894)Time elapsed: 0.867 s
% 9.47/2.09 % (2567894)Peak memory usage: 131 MB
% 9.47/2.09 % (2567894)Instructions burned: 1281 (million)
% 9.47/2.09 % (2567894)------------------------------
% 9.47/2.09 % (2567894)------------------------------
% 9.47/2.09 % (2567889)Success in time 1.291 s
% 9.47/2.09 % Vampire exiting
%------------------------------------------------------------------------------