%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET069-6 : 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 : n016.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 12:39:56 PM UTC 2026
% Result : Unsatisfiable 4.12s 1.58s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 130 ( 22 unt; 10 def)
% Number of atoms : 301 ( 53 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 291 ( 120 ~; 163 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
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(f101,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_1) ).
fof(f102,negated_conjecture,
unordered_pair(x,y) != singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_2) ).
fof(f151,plain,
unordered_pair(x,y) != unordered_pair(x,x),
inference(definition_unfolding,[],[f102,f12]) ).
fof(f155,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f156,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f155]) ).
fof(f157,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f158,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f157]) ).
fof(f159,plain,
sF0 != sF1,
inference(definition_folding,[],[f151,f158,f156]) ).
fof(f162,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f158]) ).
fof(f163,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f156]) ).
fof(f164,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f162]) ).
fof(f167,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f158]) ).
fof(f168,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f156]) ).
fof(f170,definition,
( spl2_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f172,plain,
( ~ member(x,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,definition,
( spl2_2
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f176,plain,
( member(x,sF0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f168,f174,f170]) ).
fof(f179,definition,
( spl2_3
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f181,plain,
( member(x,sF1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f167,f179,f170]) ).
fof(f191,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f193,plain,
! [X0] :
( subclass(sF0,X0)
| x = not_subclass_element(sF0,X0)
| y = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f2,f163]) ).
fof(f194,plain,
! [X0] :
( subclass(sF1,X0)
| x = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f2,f164]) ).
fof(f195,plain,
! [X0] :
( ~ subclass(X0,sF1)
| x = not_subclass_element(sF1,X0)
| sF1 = X0 ),
inference(resolution,[],[f194,f7]) ).
fof(f196,plain,
! [X0] :
( ~ subclass(X0,sF0)
| y = not_subclass_element(sF0,X0)
| x = not_subclass_element(sF0,X0)
| sF0 = X0 ),
inference(resolution,[],[f193,f7]) ).
fof(f202,definition,
( spl2_4
<=> x = not_subclass_element(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f203,plain,
( x != not_subclass_element(sF1,sF0)
| spl2_4 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( x = not_subclass_element(sF1,sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f206,definition,
( spl2_5
<=> x = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f207,plain,
( x != not_subclass_element(sF0,sF1)
| spl2_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
( x = not_subclass_element(sF0,sF1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f210,definition,
( spl2_6
<=> y = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f211,plain,
( y != not_subclass_element(sF0,sF1)
| spl2_6 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f214,plain,
( member(x,sF1)
| subclass(sF1,sF0)
| ~ spl2_4 ),
inference(superposition,[],[f2,f204]) ).
fof(f216,definition,
( spl2_7
<=> subclass(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f217,plain,
( ~ subclass(sF1,sF0)
| spl2_7 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( subclass(sF1,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,plain,
( spl2_7
| spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f214,f202,f179,f216]) ).
fof(f220,plain,
( member(x,sF0)
| subclass(sF0,sF1)
| ~ spl2_5 ),
inference(superposition,[],[f2,f208]) ).
fof(f222,definition,
( spl2_8
<=> subclass(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f223,plain,
( ~ subclass(sF0,sF1)
| spl2_8 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f224,plain,
( subclass(sF0,sF1)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( spl2_8
| spl2_2
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f220,f206,f174,f222]) ).
fof(f229,plain,
( x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1) ),
inference(resolution,[],[f195,f193]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f333,f4]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f335,f2]) ).
fof(f347,plain,
( ! [X0] :
( ~ member(x,X0)
| member(x,universal_class) )
| ~ spl2_3 ),
inference(resolution,[],[f335,f181]) ).
fof(f350,plain,
( ! [X0] : ~ member(x,X0)
| spl2_1
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f347,f172]) ).
fof(f354,plain,
( $false
| spl2_1
| ~ spl2_3 ),
inference(resolution,[],[f350,f181]) ).
fof(f359,plain,
( spl2_1
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f399,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f341,f2]) ).
fof(f408,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f416,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f439,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f3,f416]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f444,plain,
( ~ member(x,sF1)
| subclass(sF0,sF1)
| ~ spl2_5 ),
inference(superposition,[],[f3,f208]) ).
fof(f447,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f439]) ).
fof(f449,plain,
( subclass(sF0,sF1)
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f444,f181]) ).
fof(f507,plain,
! [X2,X0,X1] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f442,f191]) ).
fof(f513,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,[],[f507]) ).
fof(f517,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f513,f2]) ).
fof(f529,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f530,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f529,f7]) ).
fof(f537,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f530,f447]) ).
fof(f539,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f537,f4]) ).
fof(f550,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f539]) ).
fof(f572,plain,
( member(x,universal_class)
| ~ spl2_2 ),
inference(resolution,[],[f550,f176]) ).
fof(f756,plain,
( x = not_subclass_element(sF1,sF0)
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1) ),
inference(forward_subsumption_resolution,[],[f229,f159]) ).
fof(f846,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f572,f172]) ).
fof(f847,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f885,plain,
( spl2_6
| spl2_5
| spl2_4 ),
inference(avatar_split_clause,[],[f756,f202,f206,f210]) ).
fof(f887,plain,
( spl2_8
| ~ spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f449,f206,f179,f222]) ).
fof(f899,plain,
( x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_8 ),
inference(resolution,[],[f224,f195]) ).
fof(f901,plain,
( ~ subclass(sF1,sF0)
| sF0 = sF1
| ~ spl2_8 ),
inference(resolution,[],[f224,f7]) ).
fof(f902,plain,
( ~ subclass(sF1,sF0)
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f901,f159]) ).
fof(f903,plain,
( sF0 = sF1
| spl2_4
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f899,f203]) ).
fof(f904,plain,
( ~ spl2_7
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f902,f222,f216]) ).
fof(f905,plain,
( $false
| spl2_4
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f903,f159]) ).
fof(f906,plain,
( spl2_4
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f908,plain,
( ~ member(x,sF0)
| subclass(sF1,sF0)
| ~ spl2_4 ),
inference(superposition,[],[f3,f204]) ).
fof(f912,plain,
( subclass(sF1,sF0)
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f908,f176]) ).
fof(f914,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f912,f217]) ).
fof(f915,plain,
( ~ spl2_2
| ~ spl2_4
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f916,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| ~ spl2_7 ),
inference(resolution,[],[f218,f196]) ).
fof(f919,plain,
( x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f916,f211]) ).
fof(f920,plain,
( sF0 = sF1
| spl2_5
| spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f919,f207]) ).
fof(f921,plain,
( $false
| spl2_5
| spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f920,f159]) ).
fof(f922,plain,
( spl2_5
| spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f927,plain,
( member(y,universal_class)
| subclass(sF0,sF1)
| ~ spl2_6 ),
inference(superposition,[],[f408,f212]) ).
fof(f931,plain,
( subclass(sF0,sF1)
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f927,f101]) ).
fof(f935,plain,
( $false
| ~ spl2_6
| spl2_8 ),
inference(forward_subsumption_resolution,[],[f931,f223]) ).
fof(f936,plain,
( ~ spl2_6
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f935]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f177]) ).
cnf(s2,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f182]) ).
cnf(s4,plain,
( spl2_3
| ~ spl2_4
| spl2_7 ),
inference(sat_conversion,[],[f219]) ).
cnf(s5,plain,
( spl2_2
| ~ spl2_5
| spl2_8 ),
inference(sat_conversion,[],[f225]) ).
cnf(s11,plain,
( spl2_1
| ~ spl2_3 ),
inference(sat_conversion,[],[f359]) ).
cnf(s28,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f847]) ).
cnf(s47,plain,
( spl2_4
| spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f885]) ).
cnf(s48,plain,
( ~ spl2_3
| ~ spl2_5
| spl2_8 ),
inference(sat_conversion,[],[f887]) ).
cnf(s50,plain,
( ~ spl2_7
| ~ spl2_8 ),
inference(sat_conversion,[],[f904]) ).
cnf(s51,plain,
( spl2_4
| ~ spl2_8 ),
inference(sat_conversion,[],[f906]) ).
cnf(s52,plain,
( ~ spl2_2
| ~ spl2_4
| spl2_7 ),
inference(sat_conversion,[],[f915]) ).
cnf(s53,plain,
( spl2_5
| spl2_6
| ~ spl2_7 ),
inference(sat_conversion,[],[f922]) ).
cnf(s55,plain,
( ~ spl2_6
| spl2_8 ),
inference(sat_conversion,[],[f936]) ).
cnf(s61,plain,
( spl2_4
| spl2_2 ),
inference(rat,[],[s47,s5,s55,s51]) ).
cnf(s62,plain,
spl2_1,
inference(rat,[],[s53,s5,s55,s50,s4,s61,s11,s28]) ).
cnf(s63,plain,
spl2_3,
inference(rat,[],[s2,s62]) ).
cnf(s64,plain,
spl2_2,
inference(rat,[],[s1,s62]) ).
cnf(s68,plain,
spl2_4,
inference(rat,[],[s47,s48,s55,s51,s63]) ).
cnf(s69,plain,
spl2_7,
inference(rat,[],[s52,s64,s68]) ).
cnf(s70,plain,
~ spl2_8,
inference(rat,[],[s50,s69]) ).
cnf(s71,plain,
~ spl2_6,
inference(rat,[],[s55,s70]) ).
cnf(s72,plain,
~ spl2_5,
inference(rat,[],[s48,s63,s70]) ).
cnf(s73,plain,
$false,
inference(rat,[],[s53,s69,s71,s72]) ).
fof(f938,plain,
$false,
inference(avatar_sat_refutation,[],[s73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET069-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:34:33 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 4.12/1.58 % (3149432)Input is clausal, will run a generic CNF schedule.
% 4.12/1.58 % (3149437)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=599246361:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.12/1.58 % (3149443)dis-21_1_sil=8000:lcm=predicate:random_seed=2668134054: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)
% 4.12/1.58 % (3149438)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=353673896:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.12/1.58 % (3149442)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=533903922:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.12/1.58 % (3149441)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1768153636:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.12/1.58 % (3149439)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1214251762:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.12/1.58 % (3149440)lrs+10_1_sil=8000:sp=occurrence:random_seed=3202872202:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.12/1.58 % (3149440)Refutation not found, incomplete strategy
% 4.12/1.58 % (3149440)------------------------------
% 4.12/1.58 % (3149440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149440)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149440)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.58 % (3149440)Time elapsed: 0.002 s
% 4.12/1.58 % (3149440)Peak memory usage: 88 MB
% 4.12/1.58 % (3149440)Instructions burned: 1 (million)
% 4.12/1.58 % (3149443)Instruction limit reached!
% 4.12/1.58 % (3149443)------------------------------
% 4.12/1.58 % (3149443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149443)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149443)Termination reason: Instruction limit
% 4.12/1.58 % (3149443)Termination phase: Saturation
% 4.12/1.58 % (3149443)Time elapsed: 0.064 s
% 4.12/1.58 % (3149443)Peak memory usage: 88 MB
% 4.12/1.58 % (3149443)Instructions burned: 119 (million)
% 4.12/1.58 % (3149441)Instruction limit reached!
% 4.12/1.58 % (3149441)------------------------------
% 4.12/1.58 % (3149441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149441)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149441)Termination reason: Instruction limit
% 4.12/1.58 % (3149441)Termination phase: Saturation
% 4.12/1.58 % (3149441)Time elapsed: 0.067 s
% 4.12/1.58 % (3149441)Peak memory usage: 88 MB
% 4.12/1.58 % (3149441)Instructions burned: 114 (million)
% 4.12/1.58 % (3149442)Instruction limit reached!
% 4.12/1.58 % (3149442)------------------------------
% 4.12/1.58 % (3149442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149442)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149442)Termination reason: Instruction limit
% 4.12/1.58 % (3149442)Termination phase: Saturation
% 4.12/1.58 % (3149442)Time elapsed: 0.133 s
% 4.12/1.58 % (3149442)Peak memory usage: 90 MB
% 4.12/1.58 % (3149442)Instructions burned: 180 (million)
% 4.12/1.58 % (3149452)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2689712804: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)
% 4.12/1.58 % (3149451)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=1899134823:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.12/1.58 % (3149451)Refutation not found, incomplete strategy
% 4.12/1.58 % (3149451)------------------------------
% 4.12/1.58 % (3149451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149451)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149451)Termination reason: Refutation not found, incomplete strategy
% 4.12/1.58 % (3149451)Time elapsed: 0.003 s
% 4.12/1.58 % (3149451)Peak memory usage: 88 MB
% 4.12/1.58 % (3149451)Instructions burned: 3 (million)
% 4.12/1.58 % (3149440)------------------------------
% 4.12/1.58 % (3149440)------------------------------
% 4.12/1.58 % (3149453)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=94445859:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.12/1.58 % (3149452)Instruction limit reached!
% 4.12/1.58 % (3149452)------------------------------
% 4.12/1.58 % (3149452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149452)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149452)Termination reason: Instruction limit
% 4.12/1.58 % (3149452)Termination phase: Saturation
% 4.12/1.58 % (3149452)Time elapsed: 0.108 s
% 4.12/1.58 % (3149452)Peak memory usage: 91 MB
% 4.12/1.58 % (3149452)Instructions burned: 190 (million)
% 4.12/1.58 % (3149437)First to succeed.
% 4.12/1.58 % (3149437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3149432"
% 4.12/1.58 % (3149456)lrs+10_64_to=lpo:sil=8000:random_seed=3397121090:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.12/1.58 % (3149453)Instruction limit reached!
% 4.12/1.58 % (3149453)------------------------------
% 4.12/1.58 % (3149453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149453)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149453)Termination reason: Instruction limit
% 4.12/1.58 % (3149453)Termination phase: Saturation
% 4.12/1.58 % (3149453)Time elapsed: 0.129 s
% 4.12/1.58 % (3149453)Peak memory usage: 89 MB
% 4.12/1.58 % (3149453)Instructions burned: 220 (million)
% 4.12/1.58 % (3149451)------------------------------
% 4.12/1.58 % (3149451)------------------------------
% 4.12/1.58 % (3149456)Instruction limit reached!
% 4.12/1.58 % (3149456)------------------------------
% 4.12/1.58 % (3149456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (3149456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (3149456)CaDiCaL version: 2.1.3
% 4.12/1.58 % (3149456)Termination reason: Instruction limit
% 4.12/1.58 % (3149456)Termination phase: Saturation
% 4.12/1.58 % (3149456)Time elapsed: 0.084 s
% 4.12/1.58 % (3149456)Peak memory usage: 89 MB
% 4.12/1.58 % (3149456)Instructions burned: 126 (million)
% 4.12/1.58 % (3149458)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1206632078:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 4.12/1.58 % (3149437)Refutation found. Thanks to Tanya!
% 4.12/1.58 % SZS status Unsatisfiable for theBenchmark
% 4.12/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.77 % (3149437)------------------------------
% 5.50/1.77 % (3149437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.77 % (3149437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.77 % (3149437)CaDiCaL version: 2.1.3
% 5.50/1.77 % (3149437)Termination reason: Refutation
% 5.50/1.77 % (3149437)Time elapsed: 0.407 s
% 5.50/1.77 % (3149437)Peak memory usage: 131 MB
% 5.50/1.77 % (3149437)Instructions burned: 1087 (million)
% 5.50/1.77 % (3149437)------------------------------
% 5.50/1.77 % (3149437)------------------------------
% 5.50/1.77 % (3149432)Success in time 0.699 s
% 5.50/1.77 % Vampire exiting
%------------------------------------------------------------------------------