%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET069-7 : 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 : n004.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 6.60s 1.96s
% Output : Refutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 130 ( 21 unt; 8 def)
% Number of atoms : 345 ( 75 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 373 ( 158 ~; 209 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 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(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(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f107,axiom,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| member(not_subclass_element(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f109,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| X1 = X0
| member(not_subclass_element(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality3) ).
fof(f110,plain,
! [X0,X1] :
( member(not_subclass_element(X1,X0),X1)
| X0 = X1
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X1,X0),X0)
| ~ member(not_subclass_element(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4) ).
fof(f120,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f121,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_1) ).
fof(f122,negated_conjecture,
unordered_pair(x,y) != singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_2) ).
fof(f175,plain,
unordered_pair(x,y) != unordered_pair(x,x),
inference(definition_unfolding,[],[f122,f12]) ).
fof(f179,definition,
sF0 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f180,plain,
unordered_pair(x,y) = sF0,
inference(reorient_equations,[],[f179]) ).
fof(f181,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f182,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f181]) ).
fof(f183,plain,
sF0 != sF1,
inference(definition_folding,[],[f175,f182,f180]) ).
fof(f184,plain,
sF0 = unordered_pair(y,x),
inference(forward_demodulation,[],[f180,f120]) ).
fof(f187,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f182]) ).
fof(f188,plain,
! [X0] :
( ~ member(X0,sF0)
| y = X0
| x = X0 ),
inference(superposition,[],[f8,f184]) ).
fof(f189,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f196,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f182]) ).
fof(f201,definition,
( spl2_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f202,plain,
( member(x,universal_class)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( ~ member(x,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl2_2
<=> member(x,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f207,plain,
( member(x,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f208,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f196,f205,f201]) ).
fof(f211,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f10,f184]) ).
fof(f216,plain,
! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f121]) ).
fof(f218,plain,
! [X0] : ~ member(y,X0),
inference(forward_subsumption_resolution,[],[f216,f4]) ).
fof(f223,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),X0)
| x = not_subclass_element(sF1,X0)
| sF1 = X0 ),
inference(resolution,[],[f189,f107]) ).
fof(f232,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f203,f1]) ).
fof(f233,plain,
( ! [X0] : ~ member(x,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f232,f4]) ).
fof(f239,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF1),sF1)
| sF1 = X0
| x = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f110,f189]) ).
fof(f249,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF0),sF0)
| x = not_subclass_element(sF0,X0)
| sF0 = X0
| y = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f188,f110]) ).
fof(f251,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF1,sF0)
| sF0 = sF1 ),
inference(resolution,[],[f188,f223]) ).
fof(f252,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF1,sF0) ),
inference(forward_subsumption_resolution,[],[f251,f183]) ).
fof(f254,definition,
( spl2_3
<=> x = not_subclass_element(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f255,plain,
( x != not_subclass_element(sF1,sF0)
| spl2_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( x = not_subclass_element(sF1,sF0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl2_4
<=> x = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f259,plain,
( x != not_subclass_element(sF0,sF1)
| spl2_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( x = not_subclass_element(sF0,sF1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl2_5
<=> y = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f263,plain,
( y != not_subclass_element(sF0,sF1)
| spl2_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl2_3
| spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f252,f262,f258,f254]) ).
fof(f267,plain,
( ~ member(x,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| sF0 = sF1
| ~ spl2_3 ),
inference(superposition,[],[f111,f256]) ).
fof(f268,plain,
( member(x,sF1)
| member(not_subclass_element(sF0,sF1),sF0)
| sF0 = sF1
| ~ spl2_3 ),
inference(superposition,[],[f107,f256]) ).
fof(f269,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| sF0 = sF1
| spl2_1
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f268,f233]) ).
fof(f271,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| spl2_1
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f269,f183]) ).
fof(f274,plain,
( y = not_subclass_element(sF0,sF1)
| x = not_subclass_element(sF0,sF1)
| spl2_1
| ~ spl2_3 ),
inference(resolution,[],[f271,f188]) ).
fof(f275,plain,
( spl2_4
| spl2_5
| spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f274,f254,f201,f262,f258]) ).
fof(f278,plain,
( member(x,sF0)
| spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(backward_demodulation,[],[f271,f260]) ).
fof(f279,plain,
( $false
| spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f278,f233]) ).
fof(f280,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f281,plain,
( member(x,sF0)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f211,f202]) ).
fof(f282,plain,
( ~ member(x,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f267,f183]) ).
fof(f283,plain,
( ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_1
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f282,f281]) ).
fof(f284,plain,
( ~ member(x,sF1)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(forward_demodulation,[],[f283,f260]) ).
fof(f285,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f284,f207]) ).
fof(f286,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f287,plain,
( ~ member(x,sF1)
| sF0 = sF1
| x = not_subclass_element(sF1,sF0)
| ~ spl2_4 ),
inference(superposition,[],[f239,f260]) ).
fof(f293,plain,
( sF0 = sF1
| x = not_subclass_element(sF1,sF0)
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f287,f207]) ).
fof(f295,plain,
( x = not_subclass_element(sF1,sF0)
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f293,f183]) ).
fof(f296,plain,
( $false
| ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f295,f255]) ).
fof(f297,plain,
( ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f300,plain,
( member(y,sF0)
| x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_5 ),
inference(superposition,[],[f223,f264]) ).
fof(f306,plain,
( x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f300,f218]) ).
fof(f309,plain,
( sF0 = sF1
| spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f306,f255]) ).
fof(f310,plain,
( $false
| spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f309,f183]) ).
fof(f311,plain,
( spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f314,plain,
( member(x,sF0)
| x = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_4 ),
inference(superposition,[],[f223,f260]) ).
fof(f320,plain,
( member(x,sF0)
| sF0 = sF1
| spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f314,f255]) ).
fof(f326,definition,
( spl2_7
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f327,plain,
( ~ member(x,sF0)
| spl2_7 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f328,plain,
( member(x,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f335,plain,
( member(x,sF0)
| spl2_3
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f320,f183]) ).
fof(f336,plain,
( spl2_7
| spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f335,f258,f254,f326]) ).
fof(f343,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f203,f1]) ).
fof(f344,plain,
( ! [X0] : ~ member(x,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f343,f4]) ).
fof(f345,plain,
( $false
| spl2_1
| ~ spl2_7 ),
inference(resolution,[],[f344,f328]) ).
fof(f349,plain,
( spl2_1
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f353,plain,
( member(y,sF0)
| sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_5 ),
inference(superposition,[],[f110,f264]) ).
fof(f355,plain,
( member(y,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| ~ spl2_5 ),
inference(superposition,[],[f107,f264]) ).
fof(f356,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f355,f218]) ).
fof(f357,plain,
( sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f353,f218]) ).
fof(f358,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f356,f183]) ).
fof(f359,plain,
( ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f357,f183]) ).
fof(f360,plain,
( member(x,sF1)
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f358,f256]) ).
fof(f361,plain,
( ~ member(x,sF0)
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f359,f256]) ).
fof(f366,plain,
( $false
| spl2_1
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f360,f344]) ).
fof(f367,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f369,plain,
( member(x,sF0)
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f211,f202]) ).
fof(f370,plain,
( $false
| ~ spl2_1
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f369,f327]) ).
fof(f371,plain,
( ~ spl2_1
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f372,plain,
( $false
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f361,f328]) ).
fof(f373,plain,
( ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( ~ member(x,sF0)
| x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| y = not_subclass_element(sF0,sF1)
| ~ spl2_3 ),
inference(superposition,[],[f249,f256]) ).
fof(f379,plain,
( x = not_subclass_element(sF0,sF1)
| sF0 = sF1
| y = not_subclass_element(sF0,sF1)
| ~ spl2_3
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f374,f328]) ).
fof(f381,plain,
( sF0 = sF1
| y = not_subclass_element(sF0,sF1)
| ~ spl2_3
| spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f379,f259]) ).
fof(f382,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_3
| spl2_4
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f381,f183]) ).
fof(f383,plain,
( $false
| ~ spl2_3
| spl2_4
| spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f382,f263]) ).
fof(f384,plain,
( ~ spl2_3
| spl2_4
| spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f383]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f208]) ).
cnf(s2,plain,
( spl2_3
| spl2_4
| spl2_5 ),
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
( spl2_1
| ~ spl2_3
| spl2_4
| spl2_5 ),
inference(sat_conversion,[],[f275]) ).
cnf(s4,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s5,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f286]) ).
cnf(s6,plain,
( ~ spl2_2
| spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f297]) ).
cnf(s7,plain,
( spl2_3
| ~ spl2_5 ),
inference(sat_conversion,[],[f311]) ).
cnf(s10,plain,
( spl2_3
| ~ spl2_4
| spl2_7 ),
inference(sat_conversion,[],[f336]) ).
cnf(s11,plain,
( spl2_1
| ~ spl2_7 ),
inference(sat_conversion,[],[f349]) ).
cnf(s14,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_5 ),
inference(sat_conversion,[],[f367]) ).
cnf(s15,plain,
( ~ spl2_1
| spl2_7 ),
inference(sat_conversion,[],[f371]) ).
cnf(s16,plain,
( ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f373]) ).
cnf(s17,plain,
( ~ spl2_3
| spl2_4
| spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f384]) ).
cnf(s18,plain,
( spl2_3
| spl2_7 ),
inference(rat,[],[s2,s10,s7]) ).
cnf(s19,plain,
( ~ spl2_3
| spl2_1 ),
inference(rat,[],[s3,s4,s14]) ).
cnf(s20,plain,
spl2_1,
inference(rat,[],[s19,s18,s11]) ).
cnf(s21,plain,
spl2_7,
inference(rat,[],[s15,s20]) ).
cnf(s22,plain,
spl2_2,
inference(rat,[],[s1,s20]) ).
cnf(s23,plain,
spl2_3,
inference(rat,[],[s2,s6,s7,s22]) ).
cnf(s24,plain,
~ spl2_5,
inference(rat,[],[s16,s21,s23]) ).
cnf(s25,plain,
~ spl2_4,
inference(rat,[],[s5,s22,s20,s23]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s17,s21,s25,s23,s24]) ).
fof(f385,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET069-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 00:29:22 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 6.60/1.96 % (4031913)Input is clausal, will run a generic CNF schedule.
% 6.60/1.96 % (4031922)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3186662864:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.60/1.96 % (4031922)Instruction limit reached!
% 6.60/1.96 % (4031922)------------------------------
% 6.60/1.96 % (4031922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031922)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031922)Termination reason: Instruction limit
% 6.60/1.96 % (4031922)Termination phase: Saturation
% 6.60/1.96 % (4031922)Time elapsed: 0.039 s
% 6.60/1.96 % (4031922)Peak memory usage: 89 MB
% 6.60/1.96 % (4031922)Instructions burned: 118 (million)
% 6.60/1.96 % (4031920)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=547761487:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.60/1.96 % (4031921)lrs+10_1_sil=8000:sp=occurrence:random_seed=310355891:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.60/1.96 % (4031918)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=2204234435:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.60/1.96 % (4031924)dis-21_1_sil=8000:lcm=predicate:random_seed=979887172: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)
% 6.60/1.96 % (4031919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1768531013:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.60/1.96 % (4031923)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2300720987:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.60/1.96 % (4031921)Refutation not found, incomplete strategy
% 6.60/1.96 % (4031921)------------------------------
% 6.60/1.96 % (4031921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031921)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031921)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.96 % (4031921)Time elapsed: 0.009 s
% 6.60/1.96 % (4031921)Peak memory usage: 88 MB
% 6.60/1.96 % (4031921)Instructions burned: 12 (million)
% 6.60/1.96 % (4031924)Instruction limit reached!
% 6.60/1.96 % (4031924)------------------------------
% 6.60/1.96 % (4031924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031924)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031924)Termination reason: Instruction limit
% 6.60/1.96 % (4031924)Termination phase: Saturation
% 6.60/1.96 % (4031924)Time elapsed: 0.074 s
% 6.60/1.96 % (4031924)Peak memory usage: 89 MB
% 6.60/1.96 % (4031924)Instructions burned: 118 (million)
% 6.60/1.96 % (4031932)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=1993469368:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.60/1.96 % (4031932)Refutation not found, incomplete strategy
% 6.60/1.96 % (4031932)------------------------------
% 6.60/1.96 % (4031932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031932)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031932)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.96 % (4031932)Time elapsed: 0.002 s
% 6.60/1.96 % (4031932)Peak memory usage: 88 MB
% 6.60/1.96 % (4031932)Instructions burned: 3 (million)
% 6.60/1.96 % (4031923)Instruction limit reached!
% 6.60/1.96 % (4031923)------------------------------
% 6.60/1.96 % (4031923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031923)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031923)Termination reason: Instruction limit
% 6.60/1.96 % (4031923)Termination phase: Saturation
% 6.60/1.96 % (4031923)Time elapsed: 0.132 s
% 6.60/1.96 % (4031923)Peak memory usage: 90 MB
% 6.60/1.96 % (4031923)Instructions burned: 181 (million)
% 6.60/1.96 % (4031933)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4035804189: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)
% 6.60/1.96 % (4031921)------------------------------
% 6.60/1.96 % (4031921)------------------------------
% 6.60/1.96 % (4031932)------------------------------
% 6.60/1.96 % (4031932)------------------------------
% 6.60/1.96 % (4031935)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=771689813:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.60/1.96 % (4031933)Instruction limit reached!
% 6.60/1.96 % (4031933)------------------------------
% 6.60/1.96 % (4031933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031933)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031933)Termination reason: Instruction limit
% 6.60/1.96 % (4031933)Termination phase: Saturation
% 6.60/1.96 % (4031933)Time elapsed: 0.110 s
% 6.60/1.96 % (4031933)Peak memory usage: 91 MB
% 6.60/1.96 % (4031933)Instructions burned: 190 (million)
% 6.60/1.96 % (4031938)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1221127038:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.60/1.96 % (4031937)lrs+10_64_to=lpo:sil=8000:random_seed=2369400170:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.60/1.96 % (4031935)Instruction limit reached!
% 6.60/1.96 % (4031935)------------------------------
% 6.60/1.96 % (4031935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031935)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031935)Termination reason: Instruction limit
% 6.60/1.96 % (4031935)Termination phase: Saturation
% 6.60/1.96 % (4031935)Time elapsed: 0.136 s
% 6.60/1.96 % (4031935)Peak memory usage: 90 MB
% 6.60/1.96 % (4031935)Instructions burned: 219 (million)
% 6.60/1.96 % (4031938)Instruction limit reached!
% 6.60/1.96 % (4031938)------------------------------
% 6.60/1.96 % (4031938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031938)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031938)Termination reason: Instruction limit
% 6.60/1.96 % (4031938)Termination phase: Saturation
% 6.60/1.96 % (4031938)Time elapsed: 0.071 s
% 6.60/1.96 % (4031938)Peak memory usage: 90 MB
% 6.60/1.96 % (4031938)Instructions burned: 194 (million)
% 6.60/1.96 % (4031940)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3316330127:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.60/1.96 % (4031937)Instruction limit reached!
% 6.60/1.96 % (4031937)------------------------------
% 6.60/1.96 % (4031937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031937)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031937)Termination reason: Instruction limit
% 6.60/1.96 % (4031937)Termination phase: Saturation
% 6.60/1.96 % (4031937)Time elapsed: 0.083 s
% 6.60/1.96 % (4031937)Peak memory usage: 89 MB
% 6.60/1.96 % (4031937)Instructions burned: 126 (million)
% 6.60/1.96 % (4031944)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=3044817627:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.60/1.96 % (4031943)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3280338202:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.60/1.96 % (4031944)Instruction limit reached!
% 6.60/1.96 % (4031944)------------------------------
% 6.60/1.96 % (4031944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031944)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031944)Termination reason: Instruction limit
% 6.60/1.96 % (4031944)Termination phase: Saturation
% 6.60/1.96 % (4031944)Time elapsed: 0.036 s
% 6.60/1.96 % (4031944)Peak memory usage: 89 MB
% 6.60/1.96 % (4031944)Instructions burned: 106 (million)
% 6.60/1.96 % (4031940)Instruction limit reached!
% 6.60/1.96 % (4031940)------------------------------
% 6.60/1.96 % (4031940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031940)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031940)Termination reason: Instruction limit
% 6.60/1.96 % (4031940)Termination phase: Saturation
% 6.60/1.96 % (4031940)Time elapsed: 0.110 s
% 6.60/1.96 % (4031940)Peak memory usage: 90 MB
% 6.60/1.96 % (4031940)Instructions burned: 158 (million)
% 6.60/1.96 % (4031946)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2859047303:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.60/1.96 % (4031946)Refutation not found, incomplete strategy
% 6.60/1.96 % (4031946)------------------------------
% 6.60/1.96 % (4031946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031946)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031946)Termination reason: Refutation not found, incomplete strategy
% 6.60/1.96 % (4031946)Time elapsed: 0.005 s
% 6.60/1.96 % (4031946)Peak memory usage: 88 MB
% 6.60/1.96 % (4031946)Instructions burned: 7 (million)
% 6.60/1.96 % (4031920)First to succeed.
% 6.60/1.96 % (4031920)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4031913"
% 6.60/1.96 % (4031918)Also succeeded, but the first one will report.
% 6.60/1.96 % (4031949)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=398609028:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.60/1.96 % (4031950)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1893594606:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.60/1.96 % (4031949)Instruction limit reached!
% 6.60/1.96 % (4031949)------------------------------
% 6.60/1.96 % (4031949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.96 % (4031949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.96 % (4031949)CaDiCaL version: 2.1.3
% 6.60/1.96 % (4031949)Termination reason: Instruction limit
% 6.60/1.96 % (4031949)Termination phase: Saturation
% 6.60/1.96 % (4031949)Time elapsed: 0.095 s
% 6.60/1.96 % (4031949)Peak memory usage: 90 MB
% 6.60/1.96 % (4031949)Instructions burned: 242 (million)
% 6.60/1.96 % (4031946)------------------------------
% 6.60/1.96 % (4031946)------------------------------
% 6.60/1.96 % (4031920)Refutation found. Thanks to Tanya!
% 6.60/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.60/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.28/2.15 % (4031920)------------------------------
% 8.28/2.15 % (4031920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.15 % (4031920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.15 % (4031920)CaDiCaL version: 2.1.3
% 8.28/2.15 % (4031920)Termination reason: Refutation
% 8.28/2.15 % (4031920)Time elapsed: 0.662 s
% 8.28/2.15 % (4031920)Peak memory usage: 129 MB
% 8.28/2.15 % (4031920)Instructions burned: 990 (million)
% 8.28/2.15 % (4031920)------------------------------
% 8.28/2.15 % (4031920)------------------------------
% 8.28/2.15 % (4031913)Success in time 1.092 s
% 8.28/2.15 % Vampire exiting
%------------------------------------------------------------------------------