TSTP Solution File: SEU321+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU321+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 May 21 03:59:26 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 46
% Syntax : Number of formulae : 224 ( 23 unt; 0 def)
% Number of atoms : 714 ( 32 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 779 ( 289 ~; 316 |; 125 &)
% ( 15 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 276 ( 243 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(avatar_sat_refutation,[],[f192,f205,f222,f235,f273,f295,f357,f359,f365,f368,f378,f395,f398]) ).
fof(f398,plain,
( ~ spl10_1
| spl10_7 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl10_1
| spl10_7 ),
inference(subsumption_resolution,[],[f390,f230]) ).
fof(f230,plain,
( ~ element(sK4,subset_complement(the_carrier(sK2),sK3))
| spl10_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl10_7
<=> element(sK4,subset_complement(the_carrier(sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f390,plain,
( element(sK4,subset_complement(the_carrier(sK2),sK3))
| ~ spl10_1 ),
inference(resolution,[],[f187,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f187,plain,
( in(sK4,subset_complement(the_carrier(sK2),sK3))
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl10_1
<=> in(sK4,subset_complement(the_carrier(sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f395,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl10_1
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f393,f119]) ).
fof(f119,plain,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( in(sK4,sK3)
| ~ in(sK4,subset_complement(the_carrier(sK2),sK3)) )
& ( ~ in(sK4,sK3)
| in(sK4,subset_complement(the_carrier(sK2),sK3)) )
& element(sK4,the_carrier(sK2))
& element(sK3,powerset(the_carrier(sK2)))
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f99,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(X0),X1)) )
& ( ~ in(X2,X1)
| in(X2,subset_complement(the_carrier(X0),X1)) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(sK2),X1)) )
& ( ~ in(X2,X1)
| in(X2,subset_complement(the_carrier(sK2),X1)) )
& element(X2,the_carrier(sK2)) )
& element(X1,powerset(the_carrier(sK2))) )
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X1] :
( ? [X2] :
( ( in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(sK2),X1)) )
& ( ~ in(X2,X1)
| in(X2,subset_complement(the_carrier(sK2),X1)) )
& element(X2,the_carrier(sK2)) )
& element(X1,powerset(the_carrier(sK2))) )
=> ( ? [X2] :
( ( in(X2,sK3)
| ~ in(X2,subset_complement(the_carrier(sK2),sK3)) )
& ( ~ in(X2,sK3)
| in(X2,subset_complement(the_carrier(sK2),sK3)) )
& element(X2,the_carrier(sK2)) )
& element(sK3,powerset(the_carrier(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X2] :
( ( in(X2,sK3)
| ~ in(X2,subset_complement(the_carrier(sK2),sK3)) )
& ( ~ in(X2,sK3)
| in(X2,subset_complement(the_carrier(sK2),sK3)) )
& element(X2,the_carrier(sK2)) )
=> ( ( in(sK4,sK3)
| ~ in(sK4,subset_complement(the_carrier(sK2),sK3)) )
& ( ~ in(sK4,sK3)
| in(sK4,subset_complement(the_carrier(sK2),sK3)) )
& element(sK4,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(X0),X1)) )
& ( ~ in(X2,X1)
| in(X2,subset_complement(the_carrier(X0),X1)) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(X0),X1)) )
& ( ~ in(X2,X1)
| in(X2,subset_complement(the_carrier(X0),X1)) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_tops_1) ).
fof(f393,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| ~ spl10_1
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f386,f190]) ).
fof(f190,plain,
( in(sK4,sK3)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl10_2
<=> in(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f386,plain,
( ~ in(sK4,sK3)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ spl10_1 ),
inference(resolution,[],[f187,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| ~ in(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| ~ in(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,subset_complement(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_subset_1) ).
fof(f378,plain,
( ~ spl10_2
| spl10_5 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl10_2
| spl10_5 ),
inference(subsumption_resolution,[],[f373,f217]) ).
fof(f217,plain,
( ~ element(sK4,sK3)
| spl10_5 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl10_5
<=> element(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f373,plain,
( element(sK4,sK3)
| ~ spl10_2 ),
inference(resolution,[],[f190,f163]) ).
fof(f368,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(global_subsumption,[],[f122,f117,f118,f123,f128,f173,f174,f179,f180,f181,f161,f120,f119,f134,f135,f141,f160,f182,f129,f169,f162,f163,f121,f191,f157,f159,f167,f168,f142,f195,f196,f207,f194,f164,f212,f208,f210,f172,f238,f239,f158,f236,f165,f243,f171,f246,f248,f247,f249,f250,f245,f251,f241,f244,f226,f254,f256,f264,f166,f275,f277,f278,f276,f260,f170,f298,f299,f274,f300,f301,f242,f304,f309,f310,f252,f253,f303,f320,f156,f322,f323,f324,f325,f326,f327,f330,f336,f329,f366,f187]) ).
fof(f366,plain,
( ~ in(sK4,subset_complement(the_carrier(sK2),sK3))
| spl10_2 ),
inference(subsumption_resolution,[],[f122,f191]) ).
fof(f329,plain,
! [X0] :
( in(X0,sK3)
| in(X0,subset_complement(the_carrier(sK2),sK3))
| ~ element(X0,the_carrier(sK2))
| ~ element(subset_complement(the_carrier(sK2),sK3),powerset(the_carrier(sK2)))
| empty_set = the_carrier(sK2) ),
inference(superposition,[],[f156,f276]) ).
fof(f336,plain,
! [X0,X1] :
( in(X1,X0)
| ~ element(X1,X0)
| empty_set = X0 ),
inference(global_subsumption,[],[f122,f117,f118,f123,f128,f173,f174,f179,f180,f181,f161,f120,f119,f134,f135,f141,f160,f182,f129,f169,f162,f163,f121,f157,f159,f167,f168,f142,f195,f196,f207,f194,f164,f208,f210,f172,f238,f239,f158,f236,f165,f243,f171,f246,f248,f247,f249,f250,f245,f251,f241,f244,f226,f254,f256,f264,f166,f275,f277,f278,f276,f260,f170,f298,f299,f274,f300,f301,f242,f304,f309,f310,f252,f253,f303,f320,f156,f322,f323,f324,f325,f326,f327,f329,f330]) ).
fof(f330,plain,
! [X0,X1] :
( in(X1,X0)
| in(X1,subset_complement(X0,X0))
| ~ element(X1,X0)
| ~ element(subset_complement(X0,X0),powerset(X0))
| empty_set = X0 ),
inference(superposition,[],[f156,f300]) ).
fof(f327,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| ~ empty(subset_complement(X2,X1)) ),
inference(resolution,[],[f156,f169]) ).
fof(f326,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| ~ in(subset_complement(X2,X1),X0) ),
inference(resolution,[],[f156,f162]) ).
fof(f325,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| element(X0,subset_complement(X2,X1)) ),
inference(resolution,[],[f156,f163]) ).
fof(f324,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| ~ element(subset_complement(X2,X1),X0)
| empty(X0) ),
inference(resolution,[],[f156,f210]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| ~ empty(X3)
| ~ subset(subset_complement(X2,X1),X3) ),
inference(resolution,[],[f156,f236]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( in(X0,X1)
| ~ element(X0,X2)
| ~ element(X1,powerset(X2))
| empty_set = X2
| element(X0,X3)
| ~ subset(subset_complement(X2,X1),X3) ),
inference(resolution,[],[f156,f245]) ).
fof(f156,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0)
| ~ element(X1,powerset(X0))
| empty_set = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( empty_set != X0
=> ! [X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,X0)
=> ( ~ in(X2,X1)
=> in(X2,subset_complement(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).
fof(f320,plain,
! [X0] :
( ~ subset(subset_complement(X0,X0),X0)
| element(X0,powerset(X0)) ),
inference(resolution,[],[f303,f167]) ).
fof(f303,plain,
! [X0] :
( ~ element(subset_complement(X0,X0),powerset(X0))
| element(X0,powerset(X0)) ),
inference(superposition,[],[f165,f300]) ).
fof(f253,plain,
! [X0,X1] :
( v5_membered(subset_complement(X1,X0))
| ~ v5_membered(X1)
| ~ element(X0,powerset(X1)) ),
inference(resolution,[],[f244,f141]) ).
fof(f252,plain,
! [X0] :
( v5_membered(sK5(X0))
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0))
| empty_carrier(X0) ),
inference(resolution,[],[f241,f141]) ).
fof(f310,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty(X0)
| ~ empty(X1) ),
inference(resolution,[],[f242,f160]) ).
fof(f309,plain,
! [X0,X1] :
( ~ subset(powerset(the_carrier(X0)),X1)
| empty(powerset(the_carrier(X0)))
| ~ empty(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f242,f158]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ subset(powerset(X0),X1)
| empty(powerset(X0))
| ~ empty(X1)
| ~ subset(X2,X0) ),
inference(resolution,[],[f242,f167]) ).
fof(f242,plain,
! [X2,X0,X1] :
( ~ element(X2,X1)
| ~ subset(X1,X0)
| empty(X1)
| ~ empty(X0) ),
inference(resolution,[],[f236,f164]) ).
fof(f301,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X1,subset_complement(X0,X0))
| ~ element(subset_complement(X0,X0),powerset(X0)) ),
inference(superposition,[],[f170,f300]) ).
fof(f300,plain,
! [X0] : subset_complement(X0,subset_complement(X0,X0)) = X0,
inference(resolution,[],[f274,f161]) ).
fof(f274,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(resolution,[],[f166,f167]) ).
fof(f299,plain,
! [X0] :
( ~ in(X0,sK3)
| ~ in(X0,subset_complement(the_carrier(sK2),sK3))
| ~ element(subset_complement(the_carrier(sK2),sK3),powerset(the_carrier(sK2))) ),
inference(superposition,[],[f170,f276]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| empty(subset_complement(X2,X1))
| ~ element(X0,subset_complement(X2,X1)) ),
inference(resolution,[],[f170,f164]) ).
fof(f260,plain,
! [X0] :
( ~ element(X0,sK6(X0))
| empty(X0)
| empty(sK6(X0)) ),
inference(resolution,[],[f226,f160]) ).
fof(f276,plain,
sK3 = subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK3)),
inference(resolution,[],[f166,f119]) ).
fof(f278,plain,
! [X0] : sK6(powerset(X0)) = subset_complement(X0,subset_complement(X0,sK6(powerset(X0)))),
inference(resolution,[],[f166,f160]) ).
fof(f277,plain,
! [X0] :
( sK5(X0) = subset_complement(the_carrier(X0),subset_complement(the_carrier(X0),sK5(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f166,f158]) ).
fof(f275,plain,
! [X0,X1] :
( subset_complement(X0,X1) = subset_complement(X0,subset_complement(X0,subset_complement(X0,X1)))
| ~ element(X1,powerset(X0)) ),
inference(resolution,[],[f166,f165]) ).
fof(f166,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f264,plain,
! [X0] :
( empty(powerset(the_carrier(X0)))
| ~ element(powerset(the_carrier(X0)),sK5(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f259,f159]) ).
fof(f259,plain,
! [X0] :
( empty(sK5(X0))
| empty(powerset(the_carrier(X0)))
| ~ element(powerset(the_carrier(X0)),sK5(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[],[f226,f158]) ).
fof(f256,plain,
! [X0,X1] :
( empty(subset_complement(X0,X1))
| empty(powerset(X0))
| ~ element(powerset(X0),subset_complement(X0,X1))
| ~ element(X1,powerset(X0)) ),
inference(resolution,[],[f226,f165]) ).
fof(f254,plain,
! [X0,X1] :
( empty(X0)
| empty(powerset(X1))
| ~ element(powerset(X1),X0)
| ~ subset(X0,X1) ),
inference(resolution,[],[f226,f167]) ).
fof(f226,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X1)
| empty(X0)
| ~ element(X0,X1) ),
inference(resolution,[],[f210,f164]) ).
fof(f244,plain,
! [X0,X1] :
( sP1(subset_complement(X1,X0))
| ~ element(X0,powerset(X1))
| ~ v5_membered(X1) ),
inference(resolution,[],[f165,f142]) ).
fof(f241,plain,
! [X0] :
( sP1(sK5(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ v5_membered(the_carrier(X0)) ),
inference(resolution,[],[f158,f142]) ).
fof(f251,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ subset(X2,X1)
| empty(X2)
| ~ element(X0,X2) ),
inference(resolution,[],[f245,f164]) ).
fof(f245,plain,
! [X2,X0,X1] :
( ~ in(X0,X2)
| element(X0,X1)
| ~ subset(X2,X1) ),
inference(resolution,[],[f171,f167]) ).
fof(f250,plain,
! [X0,X1] :
( element(X0,X1)
| empty(sK6(powerset(X1)))
| ~ element(X0,sK6(powerset(X1))) ),
inference(resolution,[],[f249,f164]) ).
fof(f249,plain,
! [X0,X1] :
( ~ in(X0,sK6(powerset(X1)))
| element(X0,X1) ),
inference(resolution,[],[f171,f160]) ).
fof(f247,plain,
! [X0] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK3) ),
inference(resolution,[],[f171,f119]) ).
fof(f248,plain,
! [X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK5(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(resolution,[],[f171,f158]) ).
fof(f246,plain,
! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,subset_complement(X1,X2))
| ~ element(X2,powerset(X1)) ),
inference(resolution,[],[f171,f165]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| ~ empty(X1)
| ~ in(X2,subset_complement(X1,X0)) ),
inference(resolution,[],[f165,f172]) ).
fof(f165,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| ~ empty(X0)
| ~ subset(X2,X0) ),
inference(resolution,[],[f172,f167]) ).
fof(f158,plain,
! [X0] :
( element(sK5(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( ~ empty(sK5(X0))
& element(sK5(X0),powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f79,f107]) ).
fof(f107,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ( ~ empty(sK5(X0))
& element(sK5(X0),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f239,plain,
! [X0,X1] :
( ~ empty(X0)
| empty(sK6(powerset(X0)))
| ~ element(X1,sK6(powerset(X0))) ),
inference(resolution,[],[f238,f164]) ).
fof(f238,plain,
! [X0,X1] :
( ~ in(X1,sK6(powerset(X0)))
| ~ empty(X0) ),
inference(resolution,[],[f172,f160]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,X0)
| empty(X0) ),
inference(resolution,[],[f164,f162]) ).
fof(f208,plain,
! [X0] :
( sP1(X0)
| ~ v5_membered(X0) ),
inference(resolution,[],[f194,f161]) ).
fof(f212,plain,
( empty(sK3)
| ~ element(sK4,sK3)
| spl10_2 ),
inference(resolution,[],[f164,f191]) ).
fof(f164,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f194,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ v5_membered(X1)
| sP1(X0) ),
inference(resolution,[],[f142,f167]) ).
fof(f207,plain,
! [X0] :
( v5_membered(sK6(powerset(X0)))
| ~ v5_membered(X0) ),
inference(resolution,[],[f196,f141]) ).
fof(f196,plain,
! [X0] :
( sP1(sK6(powerset(X0)))
| ~ v5_membered(X0) ),
inference(resolution,[],[f142,f160]) ).
fof(f195,plain,
( sP1(sK3)
| ~ v5_membered(the_carrier(sK2)) ),
inference(resolution,[],[f142,f119]) ).
fof(f142,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| sP1(X1)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f66,f96]) ).
fof(f96,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ element(X1,powerset(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc20_membered) ).
fof(f168,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f167,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f159,plain,
! [X0] :
( ~ empty(sK5(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f157,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f191,plain,
( ~ in(sK4,sK3)
| spl10_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f121,plain,
( ~ in(sK4,sK3)
| in(sK4,subset_complement(the_carrier(sK2),sK3)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f162,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f169,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f129,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f182,plain,
! [X0] :
( v5_membered(X0)
| ~ empty(X0) ),
inference(resolution,[],[f135,f134]) ).
fof(f160,plain,
! [X0] : element(sK6(X0),X0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] : element(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f25,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f141,plain,
! [X0] :
( ~ sP1(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP1(X0) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f96]) ).
fof(f135,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( sP0(X0)
| ~ empty(X0) ),
inference(definition_folding,[],[f64,f94]) ).
fof(f94,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f64,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( empty(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc15_membered) ).
fof(f134,plain,
! [X0] :
( ~ sP0(X0)
| v5_membered(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f120,plain,
element(sK4,the_carrier(sK2)),
inference(cnf_transformation,[],[f103]) ).
fof(f161,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f181,plain,
~ empty_carrier(sK9),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ~ empty_carrier(sK9)
& one_sorted_str(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f32,f115]) ).
fof(f115,plain,
( ? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ( ~ empty_carrier(sK9)
& one_sorted_str(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f32,axiom,
? [X0] :
( ~ empty_carrier(X0)
& one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f180,plain,
one_sorted_str(sK9),
inference(cnf_transformation,[],[f116]) ).
fof(f179,plain,
v5_membered(sK8),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( v5_membered(sK8)
& v4_membered(sK8)
& v3_membered(sK8)
& v2_membered(sK8)
& v1_membered(sK8)
& ~ empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f7,f113]) ).
fof(f113,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) )
=> ( v5_membered(sK8)
& v4_membered(sK8)
& v3_membered(sK8)
& v2_membered(sK8)
& v1_membered(sK8)
& ~ empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_membered) ).
fof(f174,plain,
~ empty(sK8),
inference(cnf_transformation,[],[f114]) ).
fof(f173,plain,
one_sorted_str(sK7),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
one_sorted_str(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f24,f111]) ).
fof(f111,plain,
( ? [X0] : one_sorted_str(X0)
=> one_sorted_str(sK7) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : one_sorted_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f128,plain,
v5_membered(empty_set),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( v5_membered(empty_set)
& v4_membered(empty_set)
& v3_membered(empty_set)
& v2_membered(empty_set)
& v1_membered(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f123,plain,
empty(empty_set),
inference(cnf_transformation,[],[f34]) ).
fof(f118,plain,
one_sorted_str(sK2),
inference(cnf_transformation,[],[f103]) ).
fof(f117,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f103]) ).
fof(f122,plain,
( in(sK4,sK3)
| ~ in(sK4,subset_complement(the_carrier(sK2),sK3)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f365,plain,
( spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f363,f117]) ).
fof(f363,plain,
( empty_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f362,f118]) ).
fof(f362,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f355,f123]) ).
fof(f355,plain,
( ~ empty(empty_set)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(superposition,[],[f157,f334]) ).
fof(f334,plain,
( empty_set = the_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f333,f119]) ).
fof(f333,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| empty_set = the_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f332,f120]) ).
fof(f332,plain,
( ~ element(sK4,the_carrier(sK2))
| ~ element(sK3,powerset(the_carrier(sK2)))
| empty_set = the_carrier(sK2)
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f328,f191]) ).
fof(f328,plain,
( in(sK4,sK3)
| ~ element(sK4,the_carrier(sK2))
| ~ element(sK3,powerset(the_carrier(sK2)))
| empty_set = the_carrier(sK2)
| spl10_1 ),
inference(resolution,[],[f156,f186]) ).
fof(f186,plain,
( ~ in(sK4,subset_complement(the_carrier(sK2),sK3))
| spl10_1 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f359,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| spl10_1
| spl10_2
| spl10_3 ),
inference(subsumption_resolution,[],[f341,f123]) ).
fof(f341,plain,
( ~ empty(empty_set)
| spl10_1
| spl10_2
| spl10_3 ),
inference(superposition,[],[f206,f334]) ).
fof(f206,plain,
( ~ empty(the_carrier(sK2))
| spl10_3 ),
inference(resolution,[],[f200,f182]) ).
fof(f200,plain,
( ~ v5_membered(the_carrier(sK2))
| spl10_3 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl10_3
<=> v5_membered(the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f357,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| spl10_1
| spl10_2
| spl10_3 ),
inference(subsumption_resolution,[],[f340,f128]) ).
fof(f340,plain,
( ~ v5_membered(empty_set)
| spl10_1
| spl10_2
| spl10_3 ),
inference(superposition,[],[f200,f334]) ).
fof(f295,plain,
( ~ spl10_11
| spl10_12
| spl10_6 ),
inference(avatar_split_clause,[],[f262,f219,f292,f288]) ).
fof(f288,plain,
( spl10_11
<=> element(powerset(the_carrier(sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f292,plain,
( spl10_12
<=> empty(powerset(the_carrier(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f219,plain,
( spl10_6
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f262,plain,
( empty(powerset(the_carrier(sK2)))
| ~ element(powerset(the_carrier(sK2)),sK3)
| spl10_6 ),
inference(subsumption_resolution,[],[f257,f220]) ).
fof(f220,plain,
( ~ empty(sK3)
| spl10_6 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f257,plain,
( empty(sK3)
| empty(powerset(the_carrier(sK2)))
| ~ element(powerset(the_carrier(sK2)),sK3) ),
inference(resolution,[],[f226,f119]) ).
fof(f273,plain,
( ~ spl10_9
| spl10_10
| spl10_3 ),
inference(avatar_split_clause,[],[f263,f198,f270,f266]) ).
fof(f266,plain,
( spl10_9
<=> element(the_carrier(sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f270,plain,
( spl10_10
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f263,plain,
( empty(sK4)
| ~ element(the_carrier(sK2),sK4)
| spl10_3 ),
inference(subsumption_resolution,[],[f258,f206]) ).
fof(f258,plain,
( empty(sK4)
| empty(the_carrier(sK2))
| ~ element(the_carrier(sK2),sK4) ),
inference(resolution,[],[f226,f120]) ).
fof(f235,plain,
( ~ spl10_7
| spl10_8
| spl10_1 ),
inference(avatar_split_clause,[],[f213,f185,f232,f228]) ).
fof(f232,plain,
( spl10_8
<=> empty(subset_complement(the_carrier(sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f213,plain,
( empty(subset_complement(the_carrier(sK2),sK3))
| ~ element(sK4,subset_complement(the_carrier(sK2),sK3))
| spl10_1 ),
inference(resolution,[],[f164,f186]) ).
fof(f222,plain,
( ~ spl10_5
| spl10_6
| spl10_2 ),
inference(avatar_split_clause,[],[f212,f189,f219,f215]) ).
fof(f205,plain,
( ~ spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f195,f202,f198]) ).
fof(f202,plain,
( spl10_4
<=> sP1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f192,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f121,f189,f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU321+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 17:48:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (27487)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (27490)WARNING: value z3 for option sas not known
% 0.14/0.37 % (27494)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)
% 0.14/0.37 % (27489)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (27488)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (27491)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (27490)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)
% 0.14/0.37 % (27492)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)
% 0.14/0.37 % (27493)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (27490)First to succeed.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (27490)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27487"
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (27490)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (27490)------------------------------
% 0.14/0.39 % (27490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (27490)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (27490)Memory used [KB]: 975
% 0.14/0.39 % (27490)Time elapsed: 0.015 s
% 0.14/0.39 % (27490)Instructions burned: 20 (million)
% 0.14/0.39 % (27487)Success in time 0.018 s
%------------------------------------------------------------------------------