%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET070-7 : 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 : 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 12:39:56 PM UTC 2026
% Result : Unsatisfiable 6.67s 1.97s
% Output : Refutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 137 ( 20 unt; 9 def)
% Number of atoms : 350 ( 74 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 360 ( 147 ~; 206 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 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(f105,axiom,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_is_reflexive) ).
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(f121,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_1) ).
fof(f122,negated_conjecture,
unordered_pair(x,y) != singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton2_2) ).
fof(f175,plain,
unordered_pair(x,y) != unordered_pair(y,y),
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(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f182,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f181]) ).
fof(f183,plain,
sF0 != sF1,
inference(definition_folding,[],[f175,f182,f180]) ).
fof(f186,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| y = X0 ),
inference(superposition,[],[f8,f180]) ).
fof(f187,plain,
! [X0] :
( ~ member(X0,sF1)
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f182]) ).
fof(f188,plain,
! [X0] :
( ~ member(X0,sF1)
| y = X0 ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f196,plain,
( member(y,sF1)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f182]) ).
fof(f200,definition,
( spl2_1
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f201,plain,
( member(y,universal_class)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f202,plain,
( ~ member(y,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f204,definition,
( spl2_2
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f206,plain,
( member(y,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f196,f204,f200]) ).
fof(f209,plain,
( member(y,sF0)
| ~ member(y,universal_class) ),
inference(superposition,[],[f10,f180]) ).
fof(f215,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f121]) ).
fof(f217,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[],[f215,f4]) ).
fof(f224,plain,
! [X0] :
( member(not_subclass_element(X0,sF1),X0)
| y = not_subclass_element(sF1,X0)
| sF1 = X0 ),
inference(resolution,[],[f188,f107]) ).
fof(f226,plain,
( y = not_subclass_element(sF1,sF0)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1) ),
inference(resolution,[],[f224,f186]) ).
fof(f229,plain,
( y = not_subclass_element(sF1,sF0)
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1) ),
inference(forward_subsumption_resolution,[],[f226,f183]) ).
fof(f231,definition,
( spl2_3
<=> y = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f232,plain,
( y != not_subclass_element(sF0,sF1)
| spl2_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl2_4
<=> x = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f236,plain,
( x != not_subclass_element(sF0,sF1)
| spl2_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( x = not_subclass_element(sF0,sF1)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl2_5
<=> y = not_subclass_element(sF1,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f240,plain,
( y != not_subclass_element(sF1,sF0)
| spl2_5 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( y = not_subclass_element(sF1,sF0)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( spl2_3
| spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f229,f239,f235,f231]) ).
fof(f243,plain,
( member(y,sF0)
| y = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_3 ),
inference(superposition,[],[f224,f233]) ).
fof(f244,plain,
( member(y,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| sF0 = sF1
| ~ spl2_3 ),
inference(superposition,[],[f107,f233]) ).
fof(f245,plain,
( member(y,sF0)
| member(not_subclass_element(sF1,sF0),sF1)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f244,f183]) ).
fof(f246,plain,
( member(y,sF0)
| y = not_subclass_element(sF1,sF0)
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f243,f183]) ).
fof(f248,definition,
( spl2_6
<=> member(not_subclass_element(sF1,sF0),sF1) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f249,plain,
( ~ member(not_subclass_element(sF1,sF0),sF1)
| spl2_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( member(not_subclass_element(sF1,sF0),sF1)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl2_7
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f253,plain,
( ~ member(y,sF0)
| spl2_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( member(y,sF0)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( spl2_6
| spl2_7
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f245,f231,f252,f248]) ).
fof(f256,plain,
( spl2_5
| spl2_7
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f246,f231,f252,f239]) ).
fof(f257,plain,
( member(y,sF1)
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f250,f241]) ).
fof(f258,plain,
( spl2_2
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f257,f248,f239,f204]) ).
fof(f265,plain,
( ~ member(y,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| sF0 = sF1
| ~ spl2_5 ),
inference(superposition,[],[f111,f241]) ).
fof(f268,plain,
( ~ member(y,sF0)
| ~ member(not_subclass_element(sF0,sF1),sF1)
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f265,f183]) ).
fof(f270,plain,
( ~ member(y,sF1)
| ~ member(y,sF0)
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f268,f233]) ).
fof(f272,plain,
( ~ member(y,sF0)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f270,f206]) ).
fof(f274,plain,
( ~ spl2_7
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f272,f239,f231,f204,f252]) ).
fof(f275,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f202,f1]) ).
fof(f276,plain,
( ! [X0] : ~ member(y,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f275,f4]) ).
fof(f277,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(resolution,[],[f276,f206]) ).
fof(f281,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f282,plain,
( ~ member(y,universal_class)
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f209,f253]) ).
fof(f283,plain,
( $false
| ~ spl2_1
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f282,f201]) ).
fof(f284,plain,
( ~ spl2_1
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f310,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF0),sF0)
| sF0 = X0
| x = not_subclass_element(sF0,X0)
| y = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f110,f186]) ).
fof(f311,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF1),sF1)
| sF1 = X0
| y = not_subclass_element(sF1,X0) ),
inference(resolution,[],[f110,f188]) ).
fof(f327,plain,
( ~ member(y,sF0)
| sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1)
| ~ spl2_5 ),
inference(superposition,[],[f310,f241]) ).
fof(f330,plain,
( sF0 = sF1
| x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f327,f254]) ).
fof(f331,plain,
( x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f330,f183]) ).
fof(f332,plain,
( x = not_subclass_element(sF0,sF1)
| spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f331,f232]) ).
fof(f333,plain,
( spl2_4
| spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f332,f252,f239,f231,f235]) ).
fof(f338,plain,
( ~ member(y,sF1)
| sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_3 ),
inference(superposition,[],[f311,f233]) ).
fof(f344,plain,
( sF0 = sF1
| y = not_subclass_element(sF1,sF0)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f338,f206]) ).
fof(f346,plain,
( y = not_subclass_element(sF1,sF0)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f344,f183]) ).
fof(f347,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f346,f240]) ).
fof(f348,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_5 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f351,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| sF0 = sF1
| spl2_6 ),
inference(resolution,[],[f249,f107]) ).
fof(f352,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF1,sF0),X0)
| ~ subclass(X0,sF1) )
| spl2_6 ),
inference(resolution,[],[f249,f1]) ).
fof(f353,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f351,f183]) ).
fof(f358,plain,
( ~ subclass(sF1,sF1)
| member(not_subclass_element(sF0,sF1),sF0)
| sF0 = sF1
| spl2_6 ),
inference(resolution,[],[f352,f107]) ).
fof(f374,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| sF0 = sF1
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f358,f105]) ).
fof(f376,plain,
( member(not_subclass_element(sF0,sF1),sF0)
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f374,f183]) ).
fof(f380,plain,
( ! [X0] :
( ~ member(y,X0)
| ~ subclass(X0,universal_class) )
| spl2_1 ),
inference(resolution,[],[f202,f1]) ).
fof(f381,plain,
( ! [X0] : ~ member(y,X0)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f380,f4]) ).
fof(f382,plain,
( $false
| spl2_1
| ~ spl2_7 ),
inference(resolution,[],[f381,f254]) ).
fof(f386,plain,
( spl2_1
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f391,plain,
( member(x,sF0)
| ~ spl2_4
| spl2_6 ),
inference(forward_demodulation,[],[f376,f237]) ).
fof(f395,plain,
( $false
| ~ spl2_4
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f391,f217]) ).
fof(f396,plain,
( ~ spl2_4
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f418,plain,
( x = not_subclass_element(sF0,sF1)
| y = not_subclass_element(sF0,sF1)
| spl2_6 ),
inference(resolution,[],[f353,f186]) ).
fof(f419,plain,
( y = not_subclass_element(sF0,sF1)
| spl2_4
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f418,f236]) ).
fof(f420,plain,
( $false
| spl2_3
| spl2_4
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f419,f232]) ).
fof(f421,plain,
( spl2_3
| spl2_4
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f425,plain,
( member(x,sF0)
| y = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_4 ),
inference(superposition,[],[f224,f237]) ).
fof(f426,plain,
( member(x,sF0)
| sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_4 ),
inference(superposition,[],[f110,f237]) ).
fof(f429,plain,
( sF0 = sF1
| ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f426,f217]) ).
fof(f430,plain,
( y = not_subclass_element(sF1,sF0)
| sF0 = sF1
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f425,f217]) ).
fof(f431,plain,
( ~ member(not_subclass_element(sF1,sF0),sF0)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f429,f183]) ).
fof(f432,plain,
( sF0 = sF1
| ~ spl2_4
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f430,f240]) ).
fof(f433,plain,
( $false
| ~ spl2_4
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f432,f183]) ).
fof(f434,plain,
( ~ spl2_4
| spl2_5 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f435,plain,
( ~ member(y,sF0)
| ~ spl2_4
| ~ spl2_5 ),
inference(backward_demodulation,[],[f431,f241]) ).
fof(f440,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f435,f254]) ).
fof(f441,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f440]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f207]) ).
cnf(s2,plain,
( spl2_3
| spl2_4
| spl2_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s3,plain,
( ~ spl2_3
| spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f255]) ).
cnf(s4,plain,
( ~ spl2_3
| spl2_5
| spl2_7 ),
inference(sat_conversion,[],[f256]) ).
cnf(s5,plain,
( spl2_2
| ~ spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f258]) ).
cnf(s6,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f274]) ).
cnf(s8,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f281]) ).
cnf(s9,plain,
( ~ spl2_1
| spl2_7 ),
inference(sat_conversion,[],[f284]) ).
cnf(s12,plain,
( spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f333]) ).
cnf(s14,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_5 ),
inference(sat_conversion,[],[f348]) ).
cnf(s17,plain,
( spl2_1
| ~ spl2_7 ),
inference(sat_conversion,[],[f386]) ).
cnf(s19,plain,
( ~ spl2_4
| spl2_6 ),
inference(sat_conversion,[],[f396]) ).
cnf(s20,plain,
( spl2_3
| spl2_4
| spl2_6 ),
inference(sat_conversion,[],[f421]) ).
cnf(s21,plain,
( ~ spl2_4
| spl2_5 ),
inference(sat_conversion,[],[f434]) ).
cnf(s23,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(sat_conversion,[],[f441]) ).
cnf(s24,plain,
( spl2_4
| spl2_3
| spl2_2 ),
inference(rat,[],[s5,s2,s20]) ).
cnf(s25,plain,
( ~ spl2_4
| spl2_2 ),
inference(rat,[],[s5,s19,s21]) ).
cnf(s26,plain,
spl2_1,
inference(rat,[],[s5,s3,s4,s24,s25,s8,s17]) ).
cnf(s27,plain,
spl2_7,
inference(rat,[],[s9,s26]) ).
cnf(s28,plain,
spl2_2,
inference(rat,[],[s1,s26]) ).
cnf(s29,plain,
( spl2_4
| spl2_3 ),
inference(rat,[],[s2,s12,s27]) ).
cnf(s30,plain,
~ spl2_4,
inference(rat,[],[s21,s23,s27]) ).
cnf(s31,plain,
spl2_3,
inference(rat,[],[s29,s30]) ).
cnf(s32,plain,
spl2_5,
inference(rat,[],[s14,s28,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s6,s27,s28,s32,s31]) ).
fof(f442,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET070-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n003.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 00:31:27 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 6.67/1.97 % (1079960)Input is clausal, will run a generic CNF schedule.
% 6.67/1.97 % (1079968)lrs+10_1_sil=8000:sp=occurrence:random_seed=276935664:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.67/1.97 % (1079968)Refutation not found, incomplete strategy
% 6.67/1.97 % (1079968)------------------------------
% 6.67/1.97 % (1079968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079968)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079968)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.97 % (1079968)Time elapsed: 0.005 s
% 6.67/1.97 % (1079968)Peak memory usage: 88 MB
% 6.67/1.97 % (1079968)Instructions burned: 12 (million)
% 6.67/1.97 % (1079970)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4252269807:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.67/1.97 % (1079966)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1644623450:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.67/1.97 % (1079971)dis-21_1_sil=8000:lcm=predicate:random_seed=1189334231: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)
% 6.67/1.97 % (1079967)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1727026577:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.67/1.97 % (1079969)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2918974725:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.67/1.97 % (1079965)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=226026247:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.67/1.97 % (1079969)Instruction limit reached!
% 6.67/1.97 % (1079969)------------------------------
% 6.67/1.97 % (1079969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079969)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079969)Termination reason: Instruction limit
% 6.67/1.97 % (1079969)Termination phase: Saturation
% 6.67/1.97 % (1079969)Time elapsed: 0.069 s
% 6.67/1.97 % (1079969)Peak memory usage: 88 MB
% 6.67/1.97 % (1079969)Instructions burned: 115 (million)
% 6.67/1.97 % (1079971)Instruction limit reached!
% 6.67/1.97 % (1079971)------------------------------
% 6.67/1.97 % (1079971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079971)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079971)Termination reason: Instruction limit
% 6.67/1.97 % (1079971)Termination phase: Saturation
% 6.67/1.97 % (1079971)Time elapsed: 0.074 s
% 6.67/1.97 % (1079971)Peak memory usage: 89 MB
% 6.67/1.97 % (1079971)Instructions burned: 118 (million)
% 6.67/1.97 % (1079968)------------------------------
% 6.67/1.97 % (1079968)------------------------------
% 6.67/1.97 % (1079970)Instruction limit reached!
% 6.67/1.97 % (1079970)------------------------------
% 6.67/1.97 % (1079970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079970)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079970)Termination reason: Instruction limit
% 6.67/1.97 % (1079970)Termination phase: Saturation
% 6.67/1.97 % (1079970)Time elapsed: 0.132 s
% 6.67/1.97 % (1079970)Peak memory usage: 90 MB
% 6.67/1.97 % (1079970)Instructions burned: 181 (million)
% 6.67/1.97 % (1079980)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2568764713: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)
% 6.67/1.97 % (1079979)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=3504348069:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.67/1.97 % (1079981)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2529155684:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.67/1.97 % (1079979)Refutation not found, incomplete strategy
% 6.67/1.97 % (1079979)------------------------------
% 6.67/1.97 % (1079979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079979)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079979)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.97 % (1079979)Time elapsed: 0.003 s
% 6.67/1.97 % (1079979)Peak memory usage: 88 MB
% 6.67/1.97 % (1079979)Instructions burned: 3 (million)
% 6.67/1.97 % (1079982)lrs+10_64_to=lpo:sil=8000:random_seed=2649159514:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.67/1.97 % (1079981)Instruction limit reached!
% 6.67/1.97 % (1079981)------------------------------
% 6.67/1.97 % (1079981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079981)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079981)Termination reason: Instruction limit
% 6.67/1.97 % (1079981)Termination phase: Saturation
% 6.67/1.97 % (1079981)Time elapsed: 0.072 s
% 6.67/1.97 % (1079981)Peak memory usage: 90 MB
% 6.67/1.97 % (1079981)Instructions burned: 221 (million)
% 6.67/1.97 % (1079980)Instruction limit reached!
% 6.67/1.97 % (1079980)------------------------------
% 6.67/1.97 % (1079980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079980)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079980)Termination reason: Instruction limit
% 6.67/1.97 % (1079980)Termination phase: Saturation
% 6.67/1.97 % (1079980)Time elapsed: 0.108 s
% 6.67/1.97 % (1079980)Peak memory usage: 90 MB
% 6.67/1.97 % (1079980)Instructions burned: 189 (million)
% 6.67/1.97 % (1079982)Instruction limit reached!
% 6.67/1.97 % (1079982)------------------------------
% 6.67/1.97 % (1079982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079982)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079982)Termination reason: Instruction limit
% 6.67/1.97 % (1079982)Termination phase: Saturation
% 6.67/1.97 % (1079982)Time elapsed: 0.083 s
% 6.67/1.97 % (1079982)Peak memory usage: 89 MB
% 6.67/1.97 % (1079982)Instructions burned: 127 (million)
% 6.67/1.97 % (1079987)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1572114341:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.67/1.97 % (1079979)------------------------------
% 6.67/1.97 % (1079979)------------------------------
% 6.67/1.97 % (1079988)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=717605329:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.67/1.97 % (1079987)Instruction limit reached!
% 6.67/1.97 % (1079987)------------------------------
% 6.67/1.97 % (1079987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079987)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079987)Termination reason: Instruction limit
% 6.67/1.97 % (1079987)Termination phase: Saturation
% 6.67/1.97 % (1079987)Time elapsed: 0.071 s
% 6.67/1.97 % (1079987)Peak memory usage: 90 MB
% 6.67/1.97 % (1079987)Instructions burned: 195 (million)
% 6.67/1.97 % (1079989)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3976743942:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.67/1.97 % (1079988)Instruction limit reached!
% 6.67/1.97 % (1079988)------------------------------
% 6.67/1.97 % (1079988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079988)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079988)Termination reason: Instruction limit
% 6.67/1.97 % (1079988)Termination phase: Saturation
% 6.67/1.97 % (1079988)Time elapsed: 0.111 s
% 6.67/1.97 % (1079988)Peak memory usage: 90 MB
% 6.67/1.97 % (1079988)Instructions burned: 158 (million)
% 6.67/1.97 % (1079993)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3259854935:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.67/1.97 % (1079991)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=850262887:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.67/1.97 % (1079993)Refutation not found, incomplete strategy
% 6.67/1.97 % (1079993)------------------------------
% 6.67/1.97 % (1079993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079993)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079993)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.97 % (1079993)Time elapsed: 0.003 s
% 6.67/1.97 % (1079993)Peak memory usage: 88 MB
% 6.67/1.97 % (1079993)Instructions burned: 7 (million)
% 6.67/1.97 % (1079991)Instruction limit reached!
% 6.67/1.97 % (1079991)------------------------------
% 6.67/1.97 % (1079991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1079991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1079991)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1079991)Termination reason: Instruction limit
% 6.67/1.97 % (1079991)Termination phase: Saturation
% 6.67/1.97 % (1079991)Time elapsed: 0.059 s
% 6.67/1.97 % (1079991)Peak memory usage: 89 MB
% 6.67/1.97 % (1079991)Instructions burned: 107 (million)
% 6.67/1.97 % (1079967)First to succeed.
% 6.67/1.97 % (1079967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1079960"
% 6.67/1.97 % (1079965)Also succeeded, but the first one will report.
% 6.67/1.97 % (1079993)------------------------------
% 6.67/1.97 % (1079993)------------------------------
% 6.67/1.97 % (1079995)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3584424024:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.67/1.97 % (1079998)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1879233071:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.67/1.97 % (1080000)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2348029127:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.67/1.97 % (1080000)Instruction limit reached!
% 6.67/1.97 % (1080000)------------------------------
% 6.67/1.97 % (1080000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.97 % (1080000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.97 % (1080000)CaDiCaL version: 2.1.3
% 6.67/1.97 % (1080000)Termination reason: Instruction limit
% 6.67/1.97 % (1080000)Termination phase: Saturation
% 6.67/1.97 % (1080000)Time elapsed: 0.046 s
% 6.67/1.97 % (1080000)Peak memory usage: 89 MB
% 6.67/1.97 % (1080000)Instructions burned: 136 (million)
% 6.67/1.97 % (1079967)Refutation found. Thanks to Tanya!
% 6.67/1.97 % SZS status Unsatisfiable for theBenchmark
% 6.67/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.42/2.17 % (1079967)------------------------------
% 8.42/2.17 % (1079967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/2.17 % (1079967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/2.17 % (1079967)CaDiCaL version: 2.1.3
% 8.42/2.17 % (1079967)Termination reason: Refutation
% 8.42/2.17 % (1079967)Time elapsed: 0.664 s
% 8.42/2.17 % (1079967)Peak memory usage: 129 MB
% 8.42/2.17 % (1079967)Instructions burned: 997 (million)
% 8.42/2.17 % (1079967)------------------------------
% 8.42/2.17 % (1079967)------------------------------
% 8.42/2.17 % (1079960)Success in time 1.109 s
% 8.42/2.17 % Vampire exiting
%------------------------------------------------------------------------------