TSTP Solution File: SET613+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 : Wed Aug 31 18:21:36 EDT 2022
% Result : Theorem 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 120 ( 9 unt; 0 def)
% Number of atoms : 323 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 345 ( 142 ~; 156 |; 26 &)
% ( 16 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 111 ( 101 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f577,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f119,f194,f195,f212,f231,f232,f315,f386,f387,f417,f419,f420,f477,f478,f497,f543,f546,f573,f576]) ).
fof(f576,plain,
( spl6_9
| ~ spl6_11
| spl6_12 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| spl6_9
| ~ spl6_11
| spl6_12 ),
inference(subsumption_resolution,[],[f574,f210]) ).
fof(f210,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_12 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl6_12
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f574,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_9
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f459,f207]) ).
fof(f207,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl6_11
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f459,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_9 ),
inference(resolution,[],[f152,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,difference(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) )
& ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) )
& ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( member(X2,difference(X1,X0))
<=> ( member(X2,X1)
& ~ member(X2,X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f152,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| spl6_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl6_9
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f573,plain,
( ~ spl6_10
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl6_10
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f564,f207]) ).
fof(f564,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl6_10 ),
inference(resolution,[],[f157,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f157,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl6_10
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f546,plain,
( spl6_8
| ~ spl6_11
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| spl6_8
| ~ spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f544,f211]) ).
fof(f211,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f544,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_8
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f525,f207]) ).
fof(f525,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_8 ),
inference(resolution,[],[f138,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,intersection(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X2,X1,X0] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f138,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| spl6_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl6_8
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f543,plain,
( spl6_10
| spl6_11
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| spl6_10
| spl6_11
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f541,f211]) ).
fof(f541,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_10
| spl6_11 ),
inference(subsumption_resolution,[],[f533,f206]) ).
fof(f206,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| spl6_11 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f533,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_10 ),
inference(resolution,[],[f156,f50]) ).
fof(f156,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| spl6_10 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f497,plain,
( ~ spl6_8
| spl6_11 ),
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| ~ spl6_8
| spl6_11 ),
inference(subsumption_resolution,[],[f487,f206]) ).
fof(f487,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl6_8 ),
inference(resolution,[],[f139,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X2,X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f139,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f478,plain,
( spl6_8
| ~ spl6_7
| spl6_1 ),
inference(avatar_split_clause,[],[f388,f93,f133,f137]) ).
fof(f133,plain,
( spl6_7
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f93,plain,
( spl6_1
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f388,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| spl6_1 ),
inference(resolution,[],[f95,f50]) ).
fof(f95,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| spl6_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f477,plain,
( ~ spl6_10
| spl6_12 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl6_10
| spl6_12 ),
inference(subsumption_resolution,[],[f467,f210]) ).
fof(f467,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl6_10 ),
inference(resolution,[],[f157,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f420,plain,
( spl6_9
| spl6_10
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f398,f97,f155,f151]) ).
fof(f97,plain,
( spl6_2
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(difference(sK0,sK1),difference(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f398,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl6_2 ),
inference(resolution,[],[f98,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X2,X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) )
& ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ( member(X0,X1)
| member(X0,X2) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f98,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(difference(sK0,sK1),difference(sK1,sK0)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f419,plain,
( ~ spl6_9
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl6_9
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f305,f211]) ).
fof(f305,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl6_9 ),
inference(resolution,[],[f153,f48]) ).
fof(f153,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f417,plain,
( spl6_12
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f407,f137,f209]) ).
fof(f407,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl6_8 ),
inference(resolution,[],[f139,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X2,X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f387,plain,
( ~ spl6_10
| spl6_2 ),
inference(avatar_split_clause,[],[f376,f97,f155]) ).
fof(f376,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| spl6_2 ),
inference(resolution,[],[f99,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f99,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(difference(sK0,sK1),difference(sK1,sK0)))
| spl6_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f386,plain,
( spl6_2
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| spl6_2
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f375,f153]) ).
fof(f375,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| spl6_2 ),
inference(resolution,[],[f99,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( member(X1,union(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f315,plain,
( spl6_11
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f304,f151,f205]) ).
fof(f304,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl6_9 ),
inference(resolution,[],[f153,f49]) ).
fof(f232,plain,
( ~ spl6_12
| spl6_7 ),
inference(avatar_split_clause,[],[f223,f133,f209]) ).
fof(f223,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl6_7 ),
inference(resolution,[],[f135,f57]) ).
fof(f135,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| spl6_7 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f231,plain,
( ~ spl6_11
| spl6_7 ),
inference(avatar_split_clause,[],[f222,f133,f205]) ).
fof(f222,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| spl6_7 ),
inference(resolution,[],[f135,f56]) ).
fof(f212,plain,
( spl6_11
| spl6_12
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f196,f133,f209,f205]) ).
fof(f196,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl6_7 ),
inference(resolution,[],[f134,f58]) ).
fof(f134,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f195,plain,
( spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f183,f93,f133]) ).
fof(f183,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| ~ spl6_1 ),
inference(resolution,[],[f94,f49]) ).
fof(f94,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f194,plain,
( ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f184,f93,f137]) ).
fof(f184,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| ~ spl6_1 ),
inference(resolution,[],[f94,f48]) ).
fof(f119,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f88,f97,f93]) ).
fof(f88,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(difference(sK0,sK1),difference(sK1,sK0)))
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1))) ),
inference(resolution,[],[f78,f80]) ).
fof(f80,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f52,f77]) ).
fof(f77,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f52,plain,
! [X0,X1] :
( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f28,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
| X0 = X1 ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
| X0 = X1 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ? [X2] :
( member(X2,X1)
<~> member(X2,X0) )
| X0 = X1 ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
<=> member(X2,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).
fof(f78,plain,
~ sQ5_eqProxy(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),
inference(equality_proxy_replacement,[],[f51,f77]) ).
fof(f51,plain,
difference(union(sK0,sK1),intersection(sK0,sK1)) != union(difference(sK0,sK1),difference(sK1,sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
difference(union(sK0,sK1),intersection(sK0,sK1)) != union(difference(sK0,sK1),difference(sK1,sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1] : difference(union(X0,X1),intersection(X0,X1)) != union(difference(X0,X1),difference(X1,X0))
=> difference(union(sK0,sK1),intersection(sK0,sK1)) != union(difference(sK0,sK1),difference(sK1,sK0)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1] : difference(union(X0,X1),intersection(X0,X1)) != union(difference(X0,X1),difference(X1,X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
? [X1,X0] : union(difference(X1,X0),difference(X0,X1)) != difference(union(X1,X0),intersection(X1,X0)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] : union(difference(X1,X0),difference(X0,X1)) = difference(union(X1,X0),intersection(X1,X0)),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0] : difference(union(X0,X1),intersection(X0,X1)) = union(difference(X0,X1),difference(X1,X0)),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0] : difference(union(X0,X1),intersection(X0,X1)) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_union_intersection) ).
fof(f100,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f91,f97,f93]) ).
fof(f91,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(difference(sK0,sK1),difference(sK1,sK0)))
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1))) ),
inference(resolution,[],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0)
| sQ5_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f53,f77]) ).
fof(f53,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 14:00:44 EDT 2022
% 0.09/0.32 % CPUTime :
% 0.15/0.46 % (30947)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.15/0.47 % (30930)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 % (30932)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (30923)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47 % (30938)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.47 % (30935)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.48 % (30930)Refutation not found, incomplete strategy% (30930)------------------------------
% 0.15/0.48 % (30930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30930)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (30930)Memory used [KB]: 6012
% 0.15/0.48 % (30930)Time elapsed: 0.095 s
% 0.15/0.48 % (30930)Instructions burned: 3 (million)
% 0.15/0.48 % (30930)------------------------------
% 0.15/0.48 % (30930)------------------------------
% 0.15/0.48 % (30927)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.48 % (30939)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.48 % (30931)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48 % (30935)Instruction limit reached!
% 0.15/0.48 % (30935)------------------------------
% 0.15/0.48 % (30935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30938)Refutation not found, incomplete strategy% (30938)------------------------------
% 0.15/0.48 % (30938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30938)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (30931)Instruction limit reached!
% 0.15/0.48 % (30931)------------------------------
% 0.15/0.48 % (30931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30935)Termination reason: Unknown
% 0.15/0.48 % (30931)Termination reason: Unknown
% 0.15/0.48 % (30935)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (30931)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (30935)Memory used [KB]: 1407
% 0.15/0.48 % (30931)Memory used [KB]: 5884
% 0.15/0.48 % (30931)Time elapsed: 0.104 s
% 0.15/0.48 % (30935)Time elapsed: 0.003 s
% 0.15/0.48 % (30931)Instructions burned: 3 (million)
% 0.15/0.48 % (30935)Instructions burned: 2 (million)
% 0.15/0.48 % (30931)------------------------------
% 0.15/0.48 % (30931)------------------------------
% 0.15/0.48 % (30935)------------------------------
% 0.15/0.48 % (30935)------------------------------
% 0.15/0.48 % (30938)Memory used [KB]: 5884
% 0.15/0.48 % (30938)Time elapsed: 0.106 s
% 0.15/0.48 % (30938)Instructions burned: 2 (million)
% 0.15/0.48 % (30938)------------------------------
% 0.15/0.48 % (30938)------------------------------
% 0.15/0.48 % (30940)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.48 % (30924)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48 % (30932)Instruction limit reached!
% 0.15/0.48 % (30932)------------------------------
% 0.15/0.48 % (30932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30932)Termination reason: Unknown
% 0.15/0.48 % (30932)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (30932)Memory used [KB]: 6012
% 0.15/0.48 % (30932)Time elapsed: 0.098 s
% 0.15/0.48 % (30932)Instructions burned: 7 (million)
% 0.15/0.48 % (30932)------------------------------
% 0.15/0.48 % (30932)------------------------------
% 0.15/0.48 % (30924)Refutation not found, incomplete strategy% (30924)------------------------------
% 0.15/0.48 % (30924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30924)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (30924)Memory used [KB]: 5884
% 0.15/0.48 % (30924)Time elapsed: 0.102 s
% 0.15/0.48 % (30924)Instructions burned: 3 (million)
% 0.15/0.48 % (30924)------------------------------
% 0.15/0.48 % (30924)------------------------------
% 0.15/0.48 % (30940)Refutation not found, incomplete strategy% (30940)------------------------------
% 0.15/0.48 % (30940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (30940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (30940)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (30940)Memory used [KB]: 1407
% 0.15/0.48 % (30940)Time elapsed: 0.103 s
% 0.15/0.48 % (30940)Instructions burned: 3 (million)
% 0.15/0.48 % (30940)------------------------------
% 0.15/0.48 % (30940)------------------------------
% 0.15/0.48 % (30943)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.49 % (30943)Refutation not found, incomplete strategy% (30943)------------------------------
% 0.15/0.49 % (30943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (30927)First to succeed.
% 0.15/0.49 % (30943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (30943)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.49
% 0.15/0.49 % (30943)Memory used [KB]: 6012
% 0.15/0.49 % (30943)Time elapsed: 0.111 s
% 0.15/0.49 % (30943)Instructions burned: 3 (million)
% 0.15/0.49 % (30943)------------------------------
% 0.15/0.49 % (30943)------------------------------
% 0.15/0.49 % (30927)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Theorem for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (30927)------------------------------
% 0.15/0.49 % (30927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (30927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (30927)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (30927)Memory used [KB]: 6012
% 0.15/0.49 % (30927)Time elapsed: 0.108 s
% 0.15/0.49 % (30927)Instructions burned: 8 (million)
% 0.15/0.49 % (30927)------------------------------
% 0.15/0.49 % (30927)------------------------------
% 0.15/0.49 % (30916)Success in time 0.169 s
%------------------------------------------------------------------------------