%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:42:39 PM UTC 2026
% Result : Unsatisfiable 1.42s 0.78s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 143 ( 28 unt; 13 def)
% Number of atoms : 308 ( 63 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 313 ( 148 ~; 152 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',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/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f102,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f103,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f108,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f108]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f108]) ).
fof(f152,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(definition_unfolding,[],[f101,f108,f108]) ).
fof(f157,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),cross_product(X0,X1))
| member(z,X1) ),
inference(superposition,[],[f115,f152]) ).
fof(f160,plain,
! [X0,X1] :
( ~ member(x,X0)
| ~ member(w,X1)
| member(z,X0) ),
inference(resolution,[],[f116,f157]) ).
fof(f171,definition,
( spl0_3
<=> ! [X1] : ~ member(w,X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f172,plain,
( ! [X1] : ~ member(w,X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,definition,
( spl0_4
<=> ! [X0] :
( ~ member(x,X0)
| member(z,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f175,plain,
( ! [X0] :
( ~ member(x,X0)
| member(z,X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f160,f174,f171]) ).
fof(f199,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f207,plain,
( member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))))
| ~ member(unordered_pair(y,y),universal_class) ),
inference(superposition,[],[f9,f152]) ).
fof(f208,plain,
member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))),
inference(forward_subsumption_resolution,[],[f207,f11]) ).
fof(f214,definition,
( spl0_10
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f215,plain,
( member(y,universal_class)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( ~ member(y,universal_class)
| spl0_10 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f231,plain,
( ! [X0] :
( ~ member(x,universal_class)
| member(z,unordered_pair(X0,x)) )
| ~ spl0_4 ),
inference(resolution,[],[f10,f175]) ).
fof(f234,plain,
( member(unordered_pair(y,unordered_pair(z,z)),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))))
| ~ member(unordered_pair(y,unordered_pair(z,z)),universal_class) ),
inference(superposition,[],[f10,f152]) ).
fof(f235,plain,
member(unordered_pair(y,unordered_pair(z,z)),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))),
inference(forward_subsumption_resolution,[],[f234,f11]) ).
fof(f241,plain,
( ! [X0] : member(z,unordered_pair(X0,x))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f231,f102]) ).
fof(f266,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f1622,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class
| complement(X0) = null_class ),
inference(resolution,[],[f266,f199]) ).
fof(f1629,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f1622]) ).
fof(f1709,plain,
null_class = complement(universal_class),
inference(resolution,[],[f1629,f4]) ).
fof(f2588,plain,
( unordered_pair(w,w) = unordered_pair(y,y)
| unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y) ),
inference(resolution,[],[f8,f208]) ).
fof(f2589,plain,
( unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z))
| unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) ),
inference(resolution,[],[f8,f235]) ).
fof(f2603,plain,
( ! [X0] :
( z = X0
| x = z )
| ~ spl0_4 ),
inference(resolution,[],[f8,f241]) ).
fof(f2623,plain,
( ! [X0] : z = X0
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f2603,f103]) ).
fof(f2626,definition,
( spl0_60
<=> w = y ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f2627,plain,
( w != y
| spl0_60 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2628,plain,
( w = y
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f2642,definition,
( spl0_63
<=> unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z)) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f2644,plain,
( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f2646,definition,
( spl0_64
<=> unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z)) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f2648,plain,
( unordered_pair(w,w) = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f2649,plain,
( spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f2589,f2646,f2642]) ).
fof(f2651,definition,
( spl0_65
<=> unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f2653,plain,
( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2655,definition,
( spl0_66
<=> unordered_pair(w,w) = unordered_pair(y,y) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f2657,plain,
( unordered_pair(w,w) = unordered_pair(y,y)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2655]) ).
fof(f2658,plain,
( spl0_65
| spl0_66 ),
inference(avatar_split_clause,[],[f2588,f2655,f2651]) ).
fof(f2659,plain,
( ! [X0,X1] : X0 = X1
| ~ spl0_4 ),
inference(superposition,[],[f2623,f2623]) ).
fof(f3678,plain,
( ! [X0] : x != X0
| ~ spl0_4 ),
inference(superposition,[],[f103,f2659]) ).
fof(f4015,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f3678,f2659]) ).
fof(f4016,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f4015]) ).
fof(f5775,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1709]) ).
fof(f8324,definition,
( spl0_289
<=> null_class = unordered_pair(w,w) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
fof(f8326,plain,
( null_class = unordered_pair(w,w)
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f8324]) ).
fof(f8870,definition,
( spl0_304
<=> unordered_pair(x,x) = unordered_pair(z,z) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
fof(f8872,plain,
( unordered_pair(x,x) = unordered_pair(z,z)
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f8870]) ).
fof(f8874,definition,
( spl0_305
<=> w = unordered_pair(z,z) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
fof(f8876,plain,
( w = unordered_pair(z,z)
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f8874]) ).
fof(f10196,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(w,w))
| y = X0
| y = X0 )
| ~ spl0_66 ),
inference(superposition,[],[f8,f2657]) ).
fof(f10200,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(w,w))
| y = X0 )
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f10196]) ).
fof(f10205,plain,
( y = regular(unordered_pair(w,w))
| null_class = unordered_pair(w,w)
| ~ spl0_66 ),
inference(resolution,[],[f10200,f68]) ).
fof(f10208,definition,
( spl0_317
<=> y = regular(unordered_pair(w,w)) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
fof(f10210,plain,
( y = regular(unordered_pair(w,w))
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f10208]) ).
fof(f10211,plain,
( spl0_289
| spl0_317
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f10205,f2655,f10208,f8324]) ).
fof(f10222,plain,
( member(y,unordered_pair(w,w))
| null_class = unordered_pair(w,w)
| ~ spl0_317 ),
inference(superposition,[],[f68,f10210]) ).
fof(f10224,definition,
( spl0_320
<=> member(y,unordered_pair(w,w)) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
fof(f10225,plain,
( ~ member(y,unordered_pair(w,w))
| spl0_320 ),
inference(avatar_component_clause,[],[f10224]) ).
fof(f10226,plain,
( member(y,unordered_pair(w,w))
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f10224]) ).
fof(f10227,plain,
( spl0_289
| spl0_320
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f10222,f10208,f10224,f8324]) ).
fof(f10233,plain,
( w = y
| w = y
| ~ spl0_320 ),
inference(resolution,[],[f10226,f8]) ).
fof(f10235,plain,
( w = y
| ~ spl0_320 ),
inference(duplicate_literal_removal,[],[f10233]) ).
fof(f10236,plain,
( $false
| spl0_60
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f10235,f2627]) ).
fof(f10237,plain,
( spl0_60
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f10236]) ).
fof(f10249,plain,
( member(unordered_pair(x,x),unordered_pair(y,y))
| ~ member(unordered_pair(x,x),universal_class)
| ~ spl0_65 ),
inference(superposition,[],[f10,f2653]) ).
fof(f10252,plain,
( member(unordered_pair(x,x),unordered_pair(y,y))
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f10249,f11]) ).
fof(f10256,plain,
( y = unordered_pair(x,x)
| y = unordered_pair(x,x)
| ~ spl0_65 ),
inference(resolution,[],[f10252,f8]) ).
fof(f10258,plain,
( y = unordered_pair(x,x)
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f10256]) ).
fof(f10274,plain,
( member(y,universal_class)
| ~ spl0_65 ),
inference(superposition,[],[f11,f10258]) ).
fof(f10282,plain,
( $false
| spl0_10
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f10274,f216]) ).
fof(f10283,plain,
( spl0_10
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f10282]) ).
fof(f10418,plain,
( member(unordered_pair(z,z),unordered_pair(w,unordered_pair(x,x)))
| ~ member(unordered_pair(z,z),universal_class)
| ~ spl0_63 ),
inference(superposition,[],[f10,f2644]) ).
fof(f10421,plain,
( member(unordered_pair(z,z),unordered_pair(w,unordered_pair(x,x)))
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f10418,f11]) ).
fof(f10426,plain,
( w = unordered_pair(z,z)
| unordered_pair(x,x) = unordered_pair(z,z)
| ~ spl0_63 ),
inference(resolution,[],[f10421,f8]) ).
fof(f10428,plain,
( spl0_304
| spl0_305
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f10426,f2642,f8874,f8870]) ).
fof(f10429,plain,
( null_class = unordered_pair(y,unordered_pair(z,z))
| ~ spl0_64
| ~ spl0_289 ),
inference(forward_demodulation,[],[f2648,f8326]) ).
fof(f10435,plain,
( member(unordered_pair(z,z),null_class)
| ~ member(unordered_pair(z,z),universal_class)
| ~ spl0_64
| ~ spl0_289 ),
inference(superposition,[],[f10,f10429]) ).
fof(f10439,plain,
( ~ member(unordered_pair(z,z),universal_class)
| ~ spl0_64
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f10435,f5775]) ).
fof(f10443,plain,
( $false
| ~ spl0_64
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f10439,f11]) ).
fof(f10444,plain,
( ~ spl0_64
| ~ spl0_289 ),
inference(avatar_contradiction_clause,[],[f10443]) ).
fof(f10455,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,x))
| z = X0
| z = X0 )
| ~ spl0_304 ),
inference(superposition,[],[f8,f8872]) ).
fof(f10459,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,x))
| z = X0 )
| ~ spl0_304 ),
inference(duplicate_literal_removal,[],[f10455]) ).
fof(f10468,plain,
( x = z
| ~ member(x,universal_class)
| ~ spl0_304 ),
inference(resolution,[],[f10459,f9]) ).
fof(f10477,plain,
( ~ member(x,universal_class)
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f10468,f103]) ).
fof(f10480,plain,
( $false
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f10477,f102]) ).
fof(f10481,plain,
~ spl0_304,
inference(avatar_contradiction_clause,[],[f10480]) ).
fof(f10492,plain,
( member(w,universal_class)
| ~ spl0_305 ),
inference(superposition,[],[f11,f8876]) ).
fof(f10494,plain,
( $false
| ~ spl0_3
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f10492,f172]) ).
fof(f10495,plain,
( ~ spl0_3
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f10494]) ).
fof(f10574,plain,
( member(w,unordered_pair(w,w))
| ~ spl0_60
| ~ spl0_320 ),
inference(forward_demodulation,[],[f10226,f2628]) ).
fof(f10575,plain,
( $false
| ~ spl0_3
| ~ spl0_60
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f10574,f172]) ).
fof(f10576,plain,
( ~ spl0_3
| ~ spl0_60
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f10575]) ).
fof(f11122,plain,
( member(y,unordered_pair(w,w))
| ~ member(y,universal_class)
| ~ spl0_64 ),
inference(superposition,[],[f9,f2648]) ).
fof(f11124,plain,
( ~ member(y,universal_class)
| ~ spl0_64
| spl0_320 ),
inference(forward_subsumption_resolution,[],[f11122,f10225]) ).
fof(f11130,plain,
( $false
| ~ spl0_10
| ~ spl0_64
| spl0_320 ),
inference(forward_subsumption_resolution,[],[f11124,f215]) ).
fof(f11131,plain,
( ~ spl0_10
| ~ spl0_64
| spl0_320 ),
inference(avatar_contradiction_clause,[],[f11130]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f176]) ).
cnf(s49,plain,
( spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f2649]) ).
cnf(s50,plain,
( spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f2658]) ).
cnf(s133,plain,
~ spl0_4,
inference(sat_conversion,[],[f4016]) ).
cnf(s1422,plain,
( ~ spl0_66
| spl0_289
| spl0_317 ),
inference(sat_conversion,[],[f10211]) ).
cnf(s1424,plain,
( spl0_289
| ~ spl0_317
| spl0_320 ),
inference(sat_conversion,[],[f10227]) ).
cnf(s1426,plain,
( spl0_60
| ~ spl0_320 ),
inference(sat_conversion,[],[f10237]) ).
cnf(s1429,plain,
( spl0_10
| ~ spl0_65 ),
inference(sat_conversion,[],[f10283]) ).
cnf(s1432,plain,
( ~ spl0_63
| spl0_304
| spl0_305 ),
inference(sat_conversion,[],[f10428]) ).
cnf(s1433,plain,
( ~ spl0_64
| ~ spl0_289 ),
inference(sat_conversion,[],[f10444]) ).
cnf(s1435,plain,
~ spl0_304,
inference(sat_conversion,[],[f10481]) ).
cnf(s1436,plain,
( ~ spl0_3
| ~ spl0_305 ),
inference(sat_conversion,[],[f10495]) ).
cnf(s1453,plain,
( ~ spl0_3
| ~ spl0_60
| ~ spl0_320 ),
inference(sat_conversion,[],[f10576]) ).
cnf(s1518,plain,
( ~ spl0_10
| ~ spl0_64
| spl0_320 ),
inference(sat_conversion,[],[f11131]) ).
cnf(s1520,plain,
( ~ spl0_63
| spl0_305 ),
inference(rat,[],[s1432,s1435]) ).
cnf(s1693,plain,
spl0_3,
inference(rat,[],[s2,s133]) ).
cnf(s1694,plain,
~ spl0_305,
inference(rat,[],[s1436,s1693]) ).
cnf(s1701,plain,
~ spl0_63,
inference(rat,[],[s1520,s1694]) ).
cnf(s1702,plain,
spl0_64,
inference(rat,[],[s49,s1701]) ).
cnf(s1703,plain,
~ spl0_289,
inference(rat,[],[s1433,s1702]) ).
cnf(s1705,plain,
~ spl0_320,
inference(rat,[],[s1453,s1426,s1693]) ).
cnf(s1706,plain,
~ spl0_10,
inference(rat,[],[s1518,s1702,s1705]) ).
cnf(s1707,plain,
~ spl0_317,
inference(rat,[],[s1424,s1703,s1705]) ).
cnf(s1709,plain,
~ spl0_65,
inference(rat,[],[s1429,s1706]) ).
cnf(s1710,plain,
~ spl0_66,
inference(rat,[],[s1422,s1703,s1707]) ).
cnf(s1711,plain,
$false,
inference(rat,[],[s50,s1710,s1709]) ).
fof(f11139,plain,
$false,
inference(avatar_sat_refutation,[],[s1711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:08:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.78 % (313992)Will run a generic schedule for satisfiability detection.
% 1.42/0.78 % (313998)% WARNING: option uhcvi not known.
% 1.42/0.78 % (313998)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=910137295:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.42/0.78 % (313997)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=206429486_2999 on theBenchmark for (2999ds/0Mi)
% 1.42/0.78 % (313999)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1985637840:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.42/0.78 % (314000)dis+10_1_sil=32000:sp=arity:random_seed=3024403432:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.42/0.78 % (314001)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=989500266:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.42/0.78 % (314002)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=396997708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.42/0.78 % (314003)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1585401131:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.42/0.78 % (314000)Instruction limit reached!
% 1.42/0.78 % (314000)------------------------------
% 1.42/0.78 % (314000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314000)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314000)Termination reason: Instruction limit
% 1.42/0.78 % (314000)Termination phase: Saturation
% 1.42/0.78 % (314000)Time elapsed: 0.061 s
% 1.42/0.78 % (314000)Peak memory usage: 12 MB
% 1.42/0.78 % (314000)Instructions burned: 103 (million)
% 1.42/0.78 % (314001)Instruction limit reached!
% 1.42/0.78 % (314001)------------------------------
% 1.42/0.78 % (314001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314001)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314001)Termination reason: Instruction limit
% 1.42/0.78 % (314001)Termination phase: Saturation
% 1.42/0.78 % (314001)Time elapsed: 0.069 s
% 1.42/0.78 % (314001)Peak memory usage: 12 MB
% 1.42/0.78 % (314001)Instructions burned: 118 (million)
% 1.42/0.78 % (314016)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3230869465:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.42/0.78 % (314002)Instruction limit reached!
% 1.42/0.78 % (314002)------------------------------
% 1.42/0.78 % (314002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314002)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314002)Termination reason: Instruction limit
% 1.42/0.78 % (314002)Termination phase: Saturation
% 1.42/0.78 % (314002)Time elapsed: 0.083 s
% 1.42/0.78 % (314002)Peak memory usage: 13 MB
% 1.42/0.78 % (314002)Instructions burned: 131 (million)
% 1.42/0.78 % (314021)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3681622764:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.42/0.78 % (314027)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1971268991:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.42/0.78 % (314003)Instruction limit reached!
% 1.42/0.78 % (314003)------------------------------
% 1.42/0.78 % (314003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314003)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314003)Termination reason: Instruction limit
% 1.42/0.78 % (314003)Termination phase: Saturation
% 1.42/0.78 % (314003)Time elapsed: 0.116 s
% 1.42/0.78 % (314003)Peak memory usage: 14 MB
% 1.42/0.78 % (314003)Instructions burned: 159 (million)
% 1.42/0.78 % (314038)ott-21_1_sil=16000:fs=off:random_seed=2302204356:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.42/0.78 % (314021)Instruction limit reached!
% 1.42/0.78 % (314021)------------------------------
% 1.42/0.78 % (314021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314021)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314021)Termination reason: Instruction limit
% 1.42/0.78 % (314021)Termination phase: Saturation
% 1.42/0.78 % (314021)Time elapsed: 0.084 s
% 1.42/0.78 % (314021)Peak memory usage: 13 MB
% 1.42/0.78 % (314021)Instructions burned: 131 (million)
% 1.42/0.78 % TRYING [1]
% 1.42/0.78 % TRYING [2]
% 1.42/0.78 % (314068)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3635384374:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.42/0.78 % TRYING [3]
% 1.42/0.78 % (314038)Instruction limit reached!
% 1.42/0.78 % (314038)------------------------------
% 1.42/0.78 % (314038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.78 % (314038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.78 % (314038)CaDiCaL version: 2.1.3
% 1.42/0.78 % (314038)Termination reason: Instruction limit
% 1.42/0.78 % (314038)Termination phase: Saturation
% 1.42/0.78 % (314038)Time elapsed: 0.099 s
% 1.42/0.78 % (314038)Peak memory usage: 12 MB
% 1.42/0.78 % (314038)Instructions burned: 182 (million)
% 1.42/0.78 % (314087)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2575083972:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.42/0.78 % TRYING [1]
% 1.42/0.78 % TRYING [2]
% 1.42/0.78 % TRYING [3]
% 1.42/0.78 % (314027) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313992-314027"...
% 1.42/0.78 % (314027)...printing done.
% 1.42/0.78 % (314027)Refutation found. Thanks to Tanya!
% 1.42/0.78 % SZS status Unsatisfiable for theBenchmark
% 1.42/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.79 % (314027)------------------------------
% 1.42/0.79 % (314027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.79 % (314027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.79 % (314027)CaDiCaL version: 2.1.3
% 1.42/0.79 % (314027)Termination reason: Refutation
% 1.42/0.79 % (314027)Time elapsed: 0.197 s
% 1.42/0.79 % (314027)Peak memory usage: 16 MB
% 1.42/0.79 % (314027)Instructions burned: 324 (million)
% 1.42/0.79 % (313992)Success in time 0.347 s
% 1.42/0.79 % Vampire exiting
%------------------------------------------------------------------------------