%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET523-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:41:06 PM UTC 2026
% Result : Unsatisfiable 4.48s 1.26s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 143 ( 26 unt; 12 def)
% Number of atoms : 336 ( 70 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 336 ( 143 ~; 182 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_element_and_complement_not_both_sets_1) ).
fof(f123,negated_conjecture,
member(complement(x),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_element_and_complement_not_both_sets_2) ).
fof(f190,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,plain,
member(sF0,z),
inference(definition_folding,[],[f123,f191]) ).
fof(f197,plain,
! [X0] :
( ~ subclass(y,X0)
| member(x,X0) ),
inference(resolution,[],[f1,f122]) ).
fof(f198,plain,
! [X0] :
( ~ subclass(z,X0)
| member(sF0,X0) ),
inference(resolution,[],[f1,f192]) ).
fof(f200,plain,
member(sF0,universal_class),
inference(resolution,[],[f198,f4]) ).
fof(f202,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f205,plain,
member(x,universal_class),
inference(resolution,[],[f197,f4]) ).
fof(f210,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,x) ),
inference(superposition,[],[f25,f191]) ).
fof(f211,plain,
( member(x,sF0)
| member(x,x) ),
inference(resolution,[],[f210,f205]) ).
fof(f212,plain,
( member(sF0,sF0)
| member(sF0,x) ),
inference(resolution,[],[f210,f200]) ).
fof(f214,definition,
( spl1_1
<=> member(sF0,x) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f215,plain,
( ~ member(sF0,x)
| spl1_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( member(sF0,x)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f218,definition,
( spl1_2
<=> member(sF0,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f220,plain,
( member(sF0,sF0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f212,f218,f214]) ).
fof(f223,definition,
( spl1_3
<=> member(x,x) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f225,plain,
( member(x,x)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f227,definition,
( spl1_4
<=> member(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f229,plain,
( member(x,sF0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f211,f227,f223]) ).
fof(f235,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f68,f1]) ).
fof(f237,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f238,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f239,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f332,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f8,f68]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f202,f332]) ).
fof(f339,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f332]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f347,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| member(X0,null_class) ),
inference(resolution,[],[f345,f9]) ).
fof(f361,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f339]) ).
fof(f363,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f202,f361]) ).
fof(f366,plain,
! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f369,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| member(X0,null_class) ),
inference(resolution,[],[f366,f10]) ).
fof(f381,plain,
( ~ member(sF0,sF0)
| null_class = unordered_pair(sF0,sF0)
| member(sF0,null_class) ),
inference(resolution,[],[f369,f200]) ).
fof(f382,plain,
( null_class = unordered_pair(sF0,sF0)
| member(sF0,null_class)
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f381,f220]) ).
fof(f398,definition,
( spl1_13
<=> member(sF0,null_class) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f399,plain,
( ~ member(sF0,null_class)
| spl1_13 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( member(sF0,null_class)
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f402,definition,
( spl1_14
<=> null_class = unordered_pair(sF0,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f404,plain,
( null_class = unordered_pair(sF0,sF0)
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f405,plain,
( spl1_13
| spl1_14
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f382,f218,f402,f398]) ).
fof(f418,plain,
( ! [X0] :
( member(sF0,X0)
| null_class = X0 )
| ~ spl1_13 ),
inference(resolution,[],[f400,f204]) ).
fof(f421,plain,
( null_class = x
| spl1_1
| ~ spl1_13 ),
inference(resolution,[],[f418,f215]) ).
fof(f440,plain,
( ~ member(sF0,null_class)
| spl1_1
| ~ spl1_13 ),
inference(superposition,[],[f215,f421]) ).
fof(f444,plain,
( $false
| spl1_1
| ~ spl1_13 ),
inference(forward_subsumption_resolution,[],[f440,f400]) ).
fof(f445,plain,
( spl1_1
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f447,plain,
( member(sF0,null_class)
| ~ member(sF0,universal_class)
| ~ spl1_14 ),
inference(superposition,[],[f9,f404]) ).
fof(f454,plain,
( ~ member(sF0,universal_class)
| spl1_13
| ~ spl1_14 ),
inference(forward_subsumption_resolution,[],[f447,f399]) ).
fof(f457,plain,
( $false
| spl1_13
| ~ spl1_14 ),
inference(forward_subsumption_resolution,[],[f454,f200]) ).
fof(f458,plain,
( spl1_13
| ~ spl1_14 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f485,plain,
! [X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),X1)
| null_class = intersection(X0,complement(X1)) ),
inference(resolution,[],[f237,f24]) ).
fof(f489,plain,
! [X0] :
( null_class = intersection(X0,complement(X0))
| null_class = intersection(X0,complement(X0)) ),
inference(resolution,[],[f485,f238]) ).
fof(f493,plain,
! [X0] : null_class = intersection(X0,complement(X0)),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f495,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(superposition,[],[f21,f493]) ).
fof(f531,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class
| complement(X0) = null_class ),
inference(resolution,[],[f235,f239]) ).
fof(f554,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f531]) ).
fof(f571,plain,
null_class = complement(universal_class),
inference(resolution,[],[f554,f4]) ).
fof(f578,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f571]) ).
fof(f583,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f578,f495]) ).
fof(f672,plain,
! [X0] :
( ~ member(x,X0)
| null_class = unordered_pair(x,X0)
| x = regular(unordered_pair(x,X0))
| member(x,null_class) ),
inference(resolution,[],[f347,f205]) ).
fof(f675,plain,
! [X0] :
( ~ member(x,X0)
| null_class = unordered_pair(x,X0)
| x = regular(unordered_pair(x,X0)) ),
inference(forward_subsumption_resolution,[],[f672,f583]) ).
fof(f690,plain,
( null_class = unordered_pair(x,y)
| x = regular(unordered_pair(x,y)) ),
inference(resolution,[],[f675,f122]) ).
fof(f692,plain,
( null_class = unordered_pair(x,sF0)
| x = regular(unordered_pair(x,sF0))
| ~ spl1_4 ),
inference(resolution,[],[f675,f229]) ).
fof(f711,definition,
( spl1_21
<=> x = regular(unordered_pair(x,sF0)) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f713,plain,
( x = regular(unordered_pair(x,sF0))
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f715,definition,
( spl1_22
<=> null_class = unordered_pair(x,sF0) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f717,plain,
( null_class = unordered_pair(x,sF0)
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f718,plain,
( spl1_21
| spl1_22
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f692,f227,f715,f711]) ).
fof(f729,definition,
( spl1_25
<=> x = regular(unordered_pair(x,y)) ),
introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition]) ).
fof(f731,plain,
( x = regular(unordered_pair(x,y))
| ~ spl1_25 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f733,definition,
( spl1_26
<=> null_class = unordered_pair(x,y) ),
introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition]) ).
fof(f734,plain,
( null_class != unordered_pair(x,y)
| spl1_26 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f735,plain,
( null_class = unordered_pair(x,y)
| ~ spl1_26 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f736,plain,
( spl1_25
| spl1_26 ),
inference(avatar_split_clause,[],[f690,f733,f729]) ).
fof(f742,plain,
( member(x,null_class)
| ~ member(x,universal_class)
| ~ spl1_26 ),
inference(superposition,[],[f9,f735]) ).
fof(f745,plain,
( ~ member(x,universal_class)
| ~ spl1_26 ),
inference(forward_subsumption_resolution,[],[f742,f583]) ).
fof(f746,plain,
( $false
| ~ spl1_26 ),
inference(forward_subsumption_resolution,[],[f745,f205]) ).
fof(f747,plain,
~ spl1_26,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f751,plain,
( ! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,y))
| null_class = unordered_pair(x,y) )
| ~ spl1_25 ),
inference(superposition,[],[f202,f731]) ).
fof(f754,plain,
( ! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,y)) )
| ~ spl1_25
| spl1_26 ),
inference(forward_subsumption_resolution,[],[f751,f734]) ).
fof(f757,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,y))
| ~ member(X0,x) )
| ~ spl1_25
| spl1_26 ),
inference(forward_subsumption_resolution,[],[f754,f583]) ).
fof(f764,plain,
( ~ member(regular(unordered_pair(x,y)),x)
| null_class = unordered_pair(x,y)
| ~ spl1_25
| spl1_26 ),
inference(resolution,[],[f757,f68]) ).
fof(f768,plain,
( ~ member(regular(unordered_pair(x,y)),x)
| ~ spl1_25
| spl1_26 ),
inference(forward_subsumption_resolution,[],[f764,f734]) ).
fof(f779,plain,
( ~ member(x,x)
| ~ spl1_25
| spl1_26 ),
inference(forward_demodulation,[],[f768,f731]) ).
fof(f782,plain,
( $false
| ~ spl1_3
| ~ spl1_25
| spl1_26 ),
inference(forward_subsumption_resolution,[],[f779,f225]) ).
fof(f783,plain,
( ~ spl1_3
| ~ spl1_25
| spl1_26 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f813,plain,
( ! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,sF0))
| null_class = unordered_pair(x,sF0) )
| ~ spl1_21 ),
inference(superposition,[],[f202,f713]) ).
fof(f820,plain,
( ! [X0] :
( ~ member(X0,x)
| ~ member(X0,unordered_pair(x,sF0))
| null_class = unordered_pair(x,sF0) )
| ~ spl1_21 ),
inference(forward_subsumption_resolution,[],[f813,f583]) ).
fof(f831,definition,
( spl1_32
<=> ! [X0] :
( ~ member(X0,x)
| ~ member(X0,unordered_pair(x,sF0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition]) ).
fof(f832,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,sF0))
| ~ member(X0,x) )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f833,plain,
( spl1_22
| spl1_32
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f820,f711,f831,f715]) ).
fof(f836,plain,
( member(x,null_class)
| ~ member(x,universal_class)
| ~ spl1_22 ),
inference(superposition,[],[f9,f717]) ).
fof(f839,plain,
( ~ member(x,universal_class)
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f836,f583]) ).
fof(f842,plain,
( $false
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f839,f205]) ).
fof(f843,plain,
~ spl1_22,
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f845,plain,
( ~ member(sF0,x)
| ~ member(sF0,universal_class)
| ~ spl1_32 ),
inference(resolution,[],[f832,f10]) ).
fof(f855,plain,
( ~ member(sF0,universal_class)
| ~ spl1_1
| ~ spl1_32 ),
inference(forward_subsumption_resolution,[],[f845,f216]) ).
fof(f857,plain,
( $false
| ~ spl1_1
| ~ spl1_32 ),
inference(forward_subsumption_resolution,[],[f855,f200]) ).
fof(f858,plain,
( ~ spl1_1
| ~ spl1_32 ),
inference(avatar_contradiction_clause,[],[f857]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f221]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f230]) ).
cnf(s7,plain,
( ~ spl1_2
| spl1_13
| spl1_14 ),
inference(sat_conversion,[],[f405]) ).
cnf(s9,plain,
( spl1_1
| ~ spl1_13 ),
inference(sat_conversion,[],[f445]) ).
cnf(s11,plain,
( spl1_13
| ~ spl1_14 ),
inference(sat_conversion,[],[f458]) ).
cnf(s15,plain,
( ~ spl1_4
| spl1_21
| spl1_22 ),
inference(sat_conversion,[],[f718]) ).
cnf(s17,plain,
( spl1_25
| spl1_26 ),
inference(sat_conversion,[],[f736]) ).
cnf(s18,plain,
~ spl1_26,
inference(sat_conversion,[],[f747]) ).
cnf(s21,plain,
( ~ spl1_3
| ~ spl1_25
| spl1_26 ),
inference(sat_conversion,[],[f783]) ).
cnf(s27,plain,
( ~ spl1_21
| spl1_22
| spl1_32 ),
inference(sat_conversion,[],[f833]) ).
cnf(s29,plain,
~ spl1_22,
inference(sat_conversion,[],[f843]) ).
cnf(s30,plain,
( ~ spl1_1
| ~ spl1_32 ),
inference(sat_conversion,[],[f858]) ).
cnf(s31,plain,
( ~ spl1_21
| spl1_32 ),
inference(rat,[],[s27,s29]) ).
cnf(s35,plain,
spl1_25,
inference(rat,[],[s17,s18]) ).
cnf(s36,plain,
~ spl1_3,
inference(rat,[],[s21,s18,s35]) ).
cnf(s37,plain,
( ~ spl1_4
| spl1_21 ),
inference(rat,[],[s15,s29]) ).
cnf(s39,plain,
spl1_4,
inference(rat,[],[s2,s36]) ).
cnf(s40,plain,
spl1_21,
inference(rat,[],[s37,s39]) ).
cnf(s41,plain,
spl1_32,
inference(rat,[],[s31,s40]) ).
cnf(s45,plain,
~ spl1_1,
inference(rat,[],[s30,s41]) ).
cnf(s46,plain,
~ spl1_13,
inference(rat,[],[s9,s45]) ).
cnf(s47,plain,
~ spl1_14,
inference(rat,[],[s11,s46]) ).
cnf(s48,plain,
~ spl1_2,
inference(rat,[],[s7,s47,s46]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s1,s48,s45]) ).
fof(f859,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET523-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 02:02:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.07/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.48/1.26 % (2937484)Input is clausal, will run a generic CNF schedule.
% 4.48/1.26 % (2937491)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2408248357:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.48/1.26 % (2937494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2645058035:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.48/1.26 % (2937495)dis-21_1_sil=8000:lcm=predicate:random_seed=1512258176: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)
% 4.48/1.26 % (2937492)lrs+10_1_sil=8000:sp=occurrence:random_seed=258962436:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.48/1.26 % (2937490)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=545638192:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.48/1.26 % (2937493)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1904225148:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.48/1.26 % (2937489)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=395615866:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.48/1.26 % (2937492)Refutation not found, incomplete strategy
% 4.48/1.26 % (2937492)------------------------------
% 4.48/1.26 % (2937492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937492)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937492)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.26 % (2937492)Time elapsed: 0.001 s
% 4.48/1.26 % (2937492)Peak memory usage: 87 MB
% 4.48/1.26 % (2937493)Refutation not found, incomplete strategy
% 4.48/1.26 % (2937493)------------------------------
% 4.48/1.26 % (2937493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937493)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937493)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.26 % (2937493)Time elapsed: 0.001 s
% 4.48/1.26 % (2937493)Peak memory usage: 88 MB
% 4.48/1.26 % (2937493)Instructions burned: 1 (million)
% 4.48/1.26 % (2937495)Instruction limit reached!
% 4.48/1.26 % (2937495)------------------------------
% 4.48/1.26 % (2937495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937495)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937495)Termination reason: Instruction limit
% 4.48/1.26 % (2937495)Termination phase: Saturation
% 4.48/1.26 % (2937495)Time elapsed: 0.039 s
% 4.48/1.26 % (2937495)Peak memory usage: 89 MB
% 4.48/1.26 % (2937495)Instructions burned: 119 (million)
% 4.48/1.26 % (2937494)Instruction limit reached!
% 4.48/1.26 % (2937494)------------------------------
% 4.48/1.26 % (2937494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937494)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937494)Termination reason: Instruction limit
% 4.48/1.26 % (2937494)Termination phase: Saturation
% 4.48/1.26 % (2937494)Time elapsed: 0.080 s
% 4.48/1.26 % (2937494)Peak memory usage: 90 MB
% 4.48/1.26 % (2937494)Instructions burned: 181 (million)
% 4.48/1.26 % (2937492)------------------------------
% 4.48/1.26 % (2937492)------------------------------
% 4.48/1.26 % (2937493)------------------------------
% 4.48/1.26 % (2937493)------------------------------
% 4.48/1.26 % (2937503)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=523153347:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.48/1.26 % (2937503)Refutation not found, incomplete strategy
% 4.48/1.26 % (2937503)------------------------------
% 4.48/1.26 % (2937503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937503)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937503)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.26 % (2937503)Time elapsed: 0.001 s
% 4.48/1.26 % (2937503)Peak memory usage: 88 MB
% 4.48/1.26 % (2937503)Instructions burned: 2 (million)
% 4.48/1.26 % (2937504)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2928085292: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)
% 4.48/1.26 % (2937504)Instruction limit reached!
% 4.48/1.26 % (2937504)------------------------------
% 4.48/1.26 % (2937504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937504)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937504)Termination reason: Instruction limit
% 4.48/1.26 % (2937504)Termination phase: Saturation
% 4.48/1.26 % (2937504)Time elapsed: 0.059 s
% 4.48/1.26 % (2937504)Peak memory usage: 91 MB
% 4.48/1.26 % (2937504)Instructions burned: 192 (million)
% 4.48/1.26 % (2937507)lrs+10_64_to=lpo:sil=8000:random_seed=2132086617:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.48/1.26 % (2937506)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1392253867:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.48/1.26 % (2937506)Refutation not found, incomplete strategy
% 4.48/1.26 % (2937506)------------------------------
% 4.48/1.26 % (2937506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937506)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937506)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.26 % (2937506)Time elapsed: 0.001 s
% 4.48/1.26 % (2937506)Peak memory usage: 87 MB
% 4.48/1.26 % (2937506)Instructions burned: 2 (million)
% 4.48/1.26 % (2937503)------------------------------
% 4.48/1.26 % (2937503)------------------------------
% 4.48/1.26 % (2937507)Instruction limit reached!
% 4.48/1.26 % (2937507)------------------------------
% 4.48/1.26 % (2937507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937507)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937507)Termination reason: Instruction limit
% 4.48/1.26 % (2937507)Termination phase: Saturation
% 4.48/1.26 % (2937507)Time elapsed: 0.044 s
% 4.48/1.26 % (2937507)Peak memory usage: 89 MB
% 4.48/1.26 % (2937507)Instructions burned: 127 (million)
% 4.48/1.26 % (2937509)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=846804554:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.48/1.26 % (2937489)First to succeed.
% 4.48/1.26 % (2937489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2937484"
% 4.48/1.26 % (2937512)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1401045272:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.48/1.26 % (2937506)------------------------------
% 4.48/1.26 % (2937506)------------------------------
% 4.48/1.26 % (2937513)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=26893842:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.48/1.26 % (2937509)Instruction limit reached!
% 4.48/1.26 % (2937509)------------------------------
% 4.48/1.26 % (2937509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937509)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937509)Termination reason: Instruction limit
% 4.48/1.26 % (2937509)Termination phase: Saturation
% 4.48/1.26 % (2937509)Time elapsed: 0.068 s
% 4.48/1.26 % (2937509)Peak memory usage: 89 MB
% 4.48/1.26 % (2937509)Instructions burned: 198 (million)
% 4.48/1.26 % (2937512)Instruction limit reached!
% 4.48/1.26 % (2937512)------------------------------
% 4.48/1.26 % (2937512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.48/1.26 % (2937512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.26 % (2937512)CaDiCaL version: 2.1.3
% 4.48/1.26 % (2937512)Termination reason: Instruction limit
% 4.48/1.26 % (2937512)Termination phase: Saturation
% 4.48/1.26 % (2937512)Time elapsed: 0.058 s
% 4.48/1.26 % (2937512)Peak memory usage: 91 MB
% 4.48/1.26 % (2937512)Instructions burned: 158 (million)
% 4.48/1.26 % (2937516)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=3938382312:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.48/1.26 % (2937489)Refutation found. Thanks to Tanya!
% 4.48/1.26 % SZS status Unsatisfiable for theBenchmark
% 4.48/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.35 % (2937489)------------------------------
% 5.31/1.35 % (2937489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.35 % (2937489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.35 % (2937489)CaDiCaL version: 2.1.3
% 5.31/1.35 % (2937489)Termination reason: Refutation
% 5.31/1.35 % (2937489)Time elapsed: 0.414 s
% 5.31/1.35 % (2937489)Peak memory usage: 128 MB
% 5.31/1.35 % (2937489)Instructions burned: 1108 (million)
% 5.31/1.35 % (2937489)------------------------------
% 5.31/1.35 % (2937489)------------------------------
% 5.31/1.35 % (2937484)Success in time 0.727 s
% 5.31/1.35 % Vampire exiting
%------------------------------------------------------------------------------