TSTP Solution File: SET239-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET239-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:07:24 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 81
% Syntax : Number of formulae : 135 ( 61 unt; 0 def)
% Number of atoms : 241 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 175 ( 69 ~; 66 |; 0 &)
% ( 40 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 41 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-3 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[f209,f214,f220,f225,f230,f234,f239,f243,f247,f251,f255,f260,f265,f269,f273,f278,f282,f286,f290,f294,f298,f302,f306,f310,f314,f319,f324,f330,f334,f338,f342,f346,f350,f354,f358,f362,f366,f370,f374,f389,f390]) ).
fof(f390,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f381,f348,f217,f206]) ).
fof(f206,plain,
( spl0_1
<=> member(z,xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f217,plain,
( spl0_3
<=> member(z,intersection(xr,cross_product(x,y))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f348,plain,
( spl0_33
<=> ! [X4,X0,X1] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f381,plain,
( member(z,xr)
| ~ spl0_3
| ~ spl0_33 ),
inference(resolution,[],[f349,f219]) ).
fof(f219,plain,
( member(z,intersection(xr,cross_product(x,y)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f349,plain,
( ! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f389,plain,
spl0_40,
inference(avatar_split_clause,[],[f1,f387]) ).
fof(f387,plain,
( spl0_40
<=> ! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f374,plain,
spl0_39,
inference(avatar_split_clause,[],[f133,f372]) ).
fof(f372,plain,
( spl0_39
<=> ! [X8] :
( ~ one_to_one(X8)
| function(domain_of(flip(cross_product(X8,universal_class)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f133,plain,
! [X8] :
( ~ one_to_one(X8)
| function(domain_of(flip(cross_product(X8,universal_class)))) ),
inference(definition_unfolding,[],[f72,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f72,axiom,
! [X8] :
( ~ one_to_one(X8)
| function(inverse(X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_to_one2) ).
fof(f370,plain,
spl0_38,
inference(avatar_split_clause,[],[f110,f368]) ).
fof(f368,plain,
( spl0_38
<=> ! [X0,X1,X8] :
( ~ maps(X8,X0,X1)
| domain_of(X8) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f110,axiom,
! [X0,X1,X8] :
( ~ maps(X8,X0,X1)
| domain_of(X8) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps2) ).
fof(f366,plain,
spl0_37,
inference(avatar_split_clause,[],[f88,f364]) ).
fof(f364,plain,
( spl0_37
<=> ! [X9,X11,X10] :
( ~ homomorphism(X9,X10,X11)
| compatible(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f88,axiom,
! [X10,X11,X9] :
( ~ homomorphism(X9,X10,X11)
| compatible(X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism3) ).
fof(f362,plain,
spl0_36,
inference(avatar_split_clause,[],[f35,f360]) ).
fof(f360,plain,
( spl0_36
<=> ! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f35,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip1) ).
fof(f358,plain,
spl0_35,
inference(avatar_split_clause,[],[f32,f356]) ).
fof(f356,plain,
( spl0_35
<=> ! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f32,axiom,
! [X0] : subclass(rotate(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rotate1) ).
fof(f354,plain,
spl0_34,
inference(avatar_split_clause,[],[f22,f352]) ).
fof(f352,plain,
( spl0_34
<=> ! [X4,X0,X1] :
( member(X4,X1)
| ~ member(X4,intersection(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( member(X4,X1)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f350,plain,
spl0_33,
inference(avatar_split_clause,[],[f21,f348]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f346,plain,
spl0_32,
inference(avatar_split_clause,[],[f10,f344]) ).
fof(f344,plain,
( spl0_32
<=> ! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f342,plain,
( spl0_31
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f325,f300,f267,f340]) ).
fof(f340,plain,
( spl0_31
<=> ! [X0] :
( ~ member(null_class,X0)
| ~ inductive(complement(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f267,plain,
( spl0_14
<=> ! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f300,plain,
( spl0_22
<=> ! [X4,X0] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f325,plain,
( ! [X0] :
( ~ member(null_class,X0)
| ~ inductive(complement(X0)) )
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f301,f268]) ).
fof(f268,plain,
( ! [X0] :
( member(null_class,X0)
| ~ inductive(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f301,plain,
( ! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f338,plain,
spl0_30,
inference(avatar_split_clause,[],[f9,f336]) ).
fof(f336,plain,
( spl0_30
<=> ! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f334,plain,
spl0_29,
inference(avatar_split_clause,[],[f3,f332]) ).
fof(f332,plain,
( spl0_29
<=> ! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f330,plain,
spl0_28,
inference(avatar_split_clause,[],[f2,f328]) ).
fof(f328,plain,
( spl0_28
<=> ! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f324,plain,
spl0_27,
inference(avatar_split_clause,[],[f105,f321]) ).
fof(f321,plain,
( spl0_27
<=> subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f105,axiom,
subclass(application_function,cross_product(universal_class,cross_product(universal_class,universal_class))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',application_function_defn1) ).
fof(f319,plain,
spl0_26,
inference(avatar_split_clause,[],[f95,f316]) ).
fof(f316,plain,
( spl0_26
<=> subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f95,axiom,
subclass(composition_function,cross_product(universal_class,cross_product(universal_class,universal_class))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_composition_function1) ).
fof(f314,plain,
spl0_25,
inference(avatar_split_clause,[],[f66,f312]) ).
fof(f312,plain,
( spl0_25
<=> ! [X0] :
( null_class = X0
| member(regular(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f66,axiom,
! [X0] :
( null_class = X0
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f310,plain,
spl0_24,
inference(avatar_split_clause,[],[f62,f308]) ).
fof(f308,plain,
( spl0_24
<=> ! [X8] :
( ~ function(X8)
| subclass(X8,cross_product(universal_class,universal_class)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f62,axiom,
! [X8] :
( ~ function(X8)
| subclass(X8,cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function1) ).
fof(f306,plain,
spl0_23,
inference(avatar_split_clause,[],[f57,f304]) ).
fof(f304,plain,
( spl0_23
<=> ! [X5,X7] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f57,axiom,
! [X7,X5] : subclass(compose(X7,X5),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose1) ).
fof(f302,plain,
spl0_22,
inference(avatar_split_clause,[],[f24,f300]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f298,plain,
spl0_21,
inference(avatar_split_clause,[],[f109,f296]) ).
fof(f296,plain,
( spl0_21
<=> ! [X0,X1,X8] :
( function(X8)
| ~ maps(X8,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f109,axiom,
! [X0,X1,X8] :
( function(X8)
| ~ maps(X8,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps1) ).
fof(f294,plain,
spl0_20,
inference(avatar_split_clause,[],[f92,f292]) ).
fof(f292,plain,
( spl0_20
<=> ! [X0] : subclass(compose_class(X0),cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f92,axiom,
! [X0] : subclass(compose_class(X0),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_class_definition1) ).
fof(f290,plain,
spl0_19,
inference(avatar_split_clause,[],[f87,f288]) ).
fof(f288,plain,
( spl0_19
<=> ! [X9,X11,X10] :
( operation(X11)
| ~ homomorphism(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f87,axiom,
! [X10,X11,X9] :
( operation(X11)
| ~ homomorphism(X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism2) ).
fof(f286,plain,
spl0_18,
inference(avatar_split_clause,[],[f86,f284]) ).
fof(f284,plain,
( spl0_18
<=> ! [X9,X11,X10] :
( operation(X10)
| ~ homomorphism(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f86,axiom,
! [X10,X11,X9] :
( operation(X10)
| ~ homomorphism(X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism1) ).
fof(f282,plain,
spl0_17,
inference(avatar_split_clause,[],[f82,f280]) ).
fof(f280,plain,
( spl0_17
<=> ! [X9,X11,X10] :
( function(X9)
| ~ compatible(X9,X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f82,axiom,
! [X10,X11,X9] :
( function(X9)
| ~ compatible(X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible1) ).
fof(f278,plain,
spl0_16,
inference(avatar_split_clause,[],[f98,f275]) ).
fof(f275,plain,
( spl0_16
<=> subclass(domain_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f98,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_domain_relation1) ).
fof(f273,plain,
spl0_15,
inference(avatar_split_clause,[],[f51,f271]) ).
fof(f271,plain,
( spl0_15
<=> ! [X1] :
( ~ inductive(X1)
| subclass(omega,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f51,axiom,
! [X1] :
( ~ inductive(X1)
| subclass(omega,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive2) ).
fof(f269,plain,
spl0_14,
inference(avatar_split_clause,[],[f47,f267]) ).
fof(f47,axiom,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive1) ).
fof(f265,plain,
spl0_13,
inference(avatar_split_clause,[],[f44,f262]) ).
fof(f262,plain,
( spl0_13
<=> subclass(successor_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f44,axiom,
subclass(successor_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_relation1) ).
fof(f260,plain,
spl0_12,
inference(avatar_split_clause,[],[f18,f257]) ).
fof(f257,plain,
( spl0_12
<=> subclass(element_relation,cross_product(universal_class,universal_class)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f18,axiom,
subclass(element_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation1) ).
fof(f255,plain,
spl0_11,
inference(avatar_split_clause,[],[f11,f253]) ).
fof(f253,plain,
( spl0_11
<=> ! [X0,X1] : member(unordered_pair(X0,X1),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f251,plain,
spl0_10,
inference(avatar_split_clause,[],[f78,f249]) ).
fof(f249,plain,
( spl0_10
<=> ! [X8] :
( ~ operation(X8)
| function(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,axiom,
! [X8] :
( ~ operation(X8)
| function(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',operation1) ).
fof(f247,plain,
spl0_9,
inference(avatar_split_clause,[],[f71,f245]) ).
fof(f245,plain,
( spl0_9
<=> ! [X8] :
( ~ one_to_one(X8)
| function(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f71,axiom,
! [X8] :
( ~ one_to_one(X8)
| function(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_to_one1) ).
fof(f243,plain,
spl0_8,
inference(avatar_split_clause,[],[f178,f241]) ).
fof(f241,plain,
( spl0_8
<=> ! [X1] : subclass(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f178,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f239,plain,
spl0_7,
inference(avatar_split_clause,[],[f52,f236]) ).
fof(f236,plain,
( spl0_7
<=> member(omega,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f234,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f232]) ).
fof(f232,plain,
( spl0_6
<=> ! [X0] : subclass(X0,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f230,plain,
spl0_5,
inference(avatar_split_clause,[],[f69,f227]) ).
fof(f227,plain,
( spl0_5
<=> function(choice) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f69,axiom,
function(choice),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choice1) ).
fof(f225,plain,
spl0_4,
inference(avatar_split_clause,[],[f50,f222]) ).
fof(f222,plain,
( spl0_4
<=> inductive(omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f220,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f215,f211,f217]) ).
fof(f211,plain,
( spl0_2
<=> member(z,intersection(cross_product(x,y),xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f215,plain,
( member(z,intersection(xr,cross_product(x,y)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f213,f130]) ).
fof(f130,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f213,plain,
( member(z,intersection(cross_product(x,y),xr))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f214,plain,
spl0_2,
inference(avatar_split_clause,[],[f128,f211]) ).
fof(f128,plain,
member(z,intersection(cross_product(x,y),xr)),
inference(definition_unfolding,[],[f113,f29]) ).
fof(f113,axiom,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_1) ).
fof(f209,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f114,f206]) ).
fof(f114,axiom,
~ member(z,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET239-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 01:18:21 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (30602)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (30605)WARNING: value z3 for option sas not known
% 0.16/0.33 % (30609)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (30604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (30608)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (30603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (30607)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (30605)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (30606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34 % (30607)First to succeed.
% 0.16/0.34 % (30607)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.34 % (30607)------------------------------
% 0.16/0.34 % (30607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.34 % (30607)Termination reason: Refutation
% 0.16/0.34
% 0.16/0.34 % (30607)Memory used [KB]: 1066
% 0.16/0.34 % (30607)Time elapsed: 0.011 s
% 0.16/0.34 % (30607)Instructions burned: 21 (million)
% 0.16/0.34 % (30607)------------------------------
% 0.16/0.34 % (30607)------------------------------
% 0.16/0.34 % (30602)Success in time 0.029 s
%------------------------------------------------------------------------------