TSTP Solution File: KLE029+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE029+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n018.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 17:27:45 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 117 ( 7 unt; 0 def)
% Number of atoms : 426 ( 23 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 500 ( 191 ~; 214 |; 67 &)
% ( 22 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 157 ( 137 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f856,plain,
$false,
inference(avatar_sat_refutation,[],[f77,f78,f94,f99,f104,f134,f184,f191,f204,f209,f210,f735,f788,f790,f855]) ).
fof(f855,plain,
( ~ spl5_2
| spl5_3
| ~ spl5_6
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| ~ spl5_2
| spl5_3
| ~ spl5_6
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f837,f103]) ).
fof(f103,plain,
( leq(sK0(sK4,sK3,sK2),sK2)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl5_7
<=> leq(sK0(sK4,sK3,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f837,plain,
( ~ leq(sK0(sK4,sK3,sK2),sK2)
| ~ spl5_2
| spl5_3
| ~ spl5_6 ),
inference(unit_resulting_resolution,[],[f76,f85,f98,f58]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( ~ leq(X4,X1)
| leq(X4,X0)
| ~ ismeetu(X0,X2,X1)
| ~ leq(X4,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ismeetu(X0,X2,X1)
| ( ( ~ leq(sK1(X0,X1,X2),X1)
| ~ leq(sK1(X0,X1,X2),X2)
| ~ leq(sK1(X0,X1,X2),X0) )
& ( ( leq(sK1(X0,X1,X2),X1)
& leq(sK1(X0,X1,X2),X2) )
| leq(sK1(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( leq(X4,X0)
| ~ leq(X4,X1)
| ~ leq(X4,X2) )
& ( ( leq(X4,X1)
& leq(X4,X2) )
| ~ leq(X4,X0) ) )
| ~ ismeetu(X0,X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ leq(X3,X1)
| ~ leq(X3,X2)
| ~ leq(X3,X0) )
& ( ( leq(X3,X1)
& leq(X3,X2) )
| leq(X3,X0) ) )
=> ( ( ~ leq(sK1(X0,X1,X2),X1)
| ~ leq(sK1(X0,X1,X2),X2)
| ~ leq(sK1(X0,X1,X2),X0) )
& ( ( leq(sK1(X0,X1,X2),X1)
& leq(sK1(X0,X1,X2),X2) )
| leq(sK1(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ismeetu(X0,X2,X1)
| ? [X3] :
( ( ~ leq(X3,X1)
| ~ leq(X3,X2)
| ~ leq(X3,X0) )
& ( ( leq(X3,X1)
& leq(X3,X2) )
| leq(X3,X0) ) ) )
& ( ! [X4] :
( ( leq(X4,X0)
| ~ leq(X4,X1)
| ~ leq(X4,X2) )
& ( ( leq(X4,X1)
& leq(X4,X2) )
| ~ leq(X4,X0) ) )
| ~ ismeetu(X0,X2,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ( ismeetu(X2,X1,X0)
| ? [X3] :
( ( ~ leq(X3,X0)
| ~ leq(X3,X1)
| ~ leq(X3,X2) )
& ( ( leq(X3,X0)
& leq(X3,X1) )
| leq(X3,X2) ) ) )
& ( ! [X3] :
( ( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) )
& ( ( leq(X3,X0)
& leq(X3,X1) )
| ~ leq(X3,X2) ) )
| ~ ismeetu(X2,X1,X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ( ismeetu(X2,X1,X0)
| ? [X3] :
( ( ~ leq(X3,X0)
| ~ leq(X3,X1)
| ~ leq(X3,X2) )
& ( ( leq(X3,X0)
& leq(X3,X1) )
| leq(X3,X2) ) ) )
& ( ! [X3] :
( ( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) )
& ( ( leq(X3,X0)
& leq(X3,X1) )
| ~ leq(X3,X2) ) )
| ~ ismeetu(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ismeetu(X2,X1,X0)
<=> ! [X3] :
( leq(X3,X2)
<=> ( leq(X3,X0)
& leq(X3,X1) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3,X5] :
( ismeetu(X5,X3,X4)
<=> ! [X6] :
( leq(X6,X5)
<=> ( leq(X6,X3)
& leq(X6,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ismeetu) ).
fof(f98,plain,
( leq(sK0(sK4,sK3,sK2),sK3)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl5_6
<=> leq(sK0(sK4,sK3,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f85,plain,
( ~ leq(sK0(sK4,sK3,sK2),sK4)
| spl5_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl5_3
<=> leq(sK0(sK4,sK3,sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f76,plain,
( ismeetu(sK4,sK3,sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl5_2
<=> ismeetu(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f790,plain,
( spl5_4
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f185,f70,f87]) ).
fof(f87,plain,
( spl5_4
<=> leq(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f70,plain,
( spl5_1
<=> ismeet(sK4,sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f185,plain,
( leq(sK4,sK2)
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f72,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ ismeet(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ leq(X3,X1)
| leq(X3,X0)
| ~ leq(X3,X2) )
& leq(X0,X2)
& leq(X0,X1) )
| ~ ismeet(X0,X1,X2) )
& ( ismeet(X0,X1,X2)
| ( leq(sK0(X0,X1,X2),X1)
& ~ leq(sK0(X0,X1,X2),X0)
& leq(sK0(X0,X1,X2),X2) )
| ~ leq(X0,X2)
| ~ leq(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ? [X4] :
( leq(X4,X1)
& ~ leq(X4,X0)
& leq(X4,X2) )
=> ( leq(sK0(X0,X1,X2),X1)
& ~ leq(sK0(X0,X1,X2),X0)
& leq(sK0(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ leq(X3,X1)
| leq(X3,X0)
| ~ leq(X3,X2) )
& leq(X0,X2)
& leq(X0,X1) )
| ~ ismeet(X0,X1,X2) )
& ( ismeet(X0,X1,X2)
| ? [X4] :
( leq(X4,X1)
& ~ leq(X4,X0)
& leq(X4,X2) )
| ~ leq(X0,X2)
| ~ leq(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( ( ( ! [X3] :
( ~ leq(X3,X0)
| leq(X3,X1)
| ~ leq(X3,X2) )
& leq(X1,X2)
& leq(X1,X0) )
| ~ ismeet(X1,X0,X2) )
& ( ismeet(X1,X0,X2)
| ? [X3] :
( leq(X3,X0)
& ~ leq(X3,X1)
& leq(X3,X2) )
| ~ leq(X1,X2)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( ( ! [X3] :
( ~ leq(X3,X0)
| leq(X3,X1)
| ~ leq(X3,X2) )
& leq(X1,X2)
& leq(X1,X0) )
| ~ ismeet(X1,X0,X2) )
& ( ismeet(X1,X0,X2)
| ? [X3] :
( leq(X3,X0)
& ~ leq(X3,X1)
& leq(X3,X2) )
| ~ leq(X1,X2)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( ( ! [X3] :
( ~ leq(X3,X0)
| leq(X3,X1)
| ~ leq(X3,X2) )
& leq(X1,X2)
& leq(X1,X0) )
<=> ismeet(X1,X0,X2) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( leq(X1,X0)
& leq(X1,X2)
& ! [X3] :
( leq(X3,X1)
| ~ leq(X3,X2)
| ~ leq(X3,X0) ) )
<=> ismeet(X1,X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( ( leq(X1,X0)
& leq(X1,X2)
& ! [X3] :
( ( leq(X3,X2)
& leq(X3,X0) )
=> leq(X3,X1) ) )
<=> ismeet(X1,X0,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X5,X4] :
( ismeet(X5,X3,X4)
<=> ( leq(X5,X4)
& leq(X5,X3)
& ! [X6] :
( ( leq(X6,X4)
& leq(X6,X3) )
=> leq(X6,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ismeet) ).
fof(f72,plain,
( ismeet(sK4,sK3,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f788,plain,
( ~ spl5_4
| spl5_9
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f787,plain,
( $false
| ~ spl5_4
| spl5_9
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f776,f722]) ).
fof(f722,plain,
( addition(sK1(sK4,sK2,sK3),sK2) = sK2
| ~ spl5_4
| ~ spl5_10 ),
inference(superposition,[],[f419,f135]) ).
fof(f135,plain,
( addition(sK4,sK2) = sK2
| ~ spl5_4 ),
inference(unit_resulting_resolution,[],[f88,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| addition(X1,X0) = X0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( leq(X1,X0)
| addition(X1,X0) != X0 )
& ( addition(X1,X0) = X0
| ~ leq(X1,X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f88,plain,
( leq(sK4,sK2)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f419,plain,
( ! [X0] : addition(sK1(sK4,sK2,sK3),addition(sK4,X0)) = addition(sK4,X0)
| ~ spl5_10 ),
inference(superposition,[],[f67,f294]) ).
fof(f294,plain,
( sK4 = addition(sK1(sK4,sK2,sK3),sK4)
| ~ spl5_10 ),
inference(resolution,[],[f208,f65]) ).
fof(f208,plain,
( leq(sK1(sK4,sK2,sK3),sK4)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl5_10
<=> leq(sK1(sK4,sK2,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f67,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] : addition(addition(X2,X0),X1) = addition(X2,addition(X0,X1)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f776,plain,
( addition(sK1(sK4,sK2,sK3),sK2) != sK2
| spl5_9 ),
inference(unit_resulting_resolution,[],[f203,f66]) ).
fof(f66,plain,
! [X0,X1] :
( addition(X1,X0) != X0
| leq(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f203,plain,
( ~ leq(sK1(sK4,sK2,sK3),sK2)
| spl5_9 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl5_9
<=> leq(sK1(sK4,sK2,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f735,plain,
( ~ spl5_5
| spl5_8
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| ~ spl5_5
| spl5_8
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f723,f264]) ).
fof(f264,plain,
( sK3 != addition(sK1(sK4,sK2,sK3),sK3)
| spl5_8 ),
inference(resolution,[],[f199,f66]) ).
fof(f199,plain,
( ~ leq(sK1(sK4,sK2,sK3),sK3)
| spl5_8 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl5_8
<=> leq(sK1(sK4,sK2,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f723,plain,
( sK3 = addition(sK1(sK4,sK2,sK3),sK3)
| ~ spl5_5
| ~ spl5_10 ),
inference(superposition,[],[f419,f225]) ).
fof(f225,plain,
( sK3 = addition(sK4,sK3)
| ~ spl5_5 ),
inference(resolution,[],[f92,f65]) ).
fof(f92,plain,
( leq(sK4,sK3)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl5_5
<=> leq(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f210,plain,
( spl5_10
| spl5_9
| spl5_2 ),
inference(avatar_split_clause,[],[f193,f74,f201,f206]) ).
fof(f193,plain,
( leq(sK1(sK4,sK2,sK3),sK2)
| leq(sK1(sK4,sK2,sK3),sK4)
| spl5_2 ),
inference(resolution,[],[f75,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X1)
| leq(sK1(X0,X1,X2),X0)
| ismeetu(X0,X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f75,plain,
( ~ ismeetu(sK4,sK3,sK2)
| spl5_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f209,plain,
( spl5_8
| spl5_10
| spl5_2 ),
inference(avatar_split_clause,[],[f192,f74,f206,f197]) ).
fof(f192,plain,
( leq(sK1(sK4,sK2,sK3),sK4)
| leq(sK1(sK4,sK2,sK3),sK3)
| spl5_2 ),
inference(resolution,[],[f75,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X0)
| ismeetu(X0,X2,X1)
| leq(sK1(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f204,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f195,f74,f70,f201,f197]) ).
fof(f195,plain,
( ~ leq(sK1(sK4,sK2,sK3),sK2)
| ~ leq(sK1(sK4,sK2,sK3),sK3)
| ~ spl5_1
| spl5_2 ),
inference(subsumption_resolution,[],[f194,f187]) ).
fof(f187,plain,
( ! [X0] :
( leq(X0,sK4)
| ~ leq(X0,sK3)
| ~ leq(X0,sK2) )
| ~ spl5_1 ),
inference(resolution,[],[f72,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ leq(X3,X2)
| leq(X3,X0)
| ~ ismeet(X0,X1,X2)
| ~ leq(X3,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f194,plain,
( ~ leq(sK1(sK4,sK2,sK3),sK3)
| ~ leq(sK1(sK4,sK2,sK3),sK2)
| ~ leq(sK1(sK4,sK2,sK3),sK4)
| spl5_2 ),
inference(resolution,[],[f75,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ leq(sK1(X0,X1,X2),X1)
| ~ leq(sK1(X0,X1,X2),X0)
| ~ leq(sK1(X0,X1,X2),X2)
| ismeetu(X0,X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f191,plain,
( spl5_5
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f189,f70,f91]) ).
fof(f189,plain,
( leq(sK4,sK3)
| ~ spl5_1 ),
inference(resolution,[],[f72,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( leq(X0,X1)
| ~ ismeet(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f184,plain,
( ~ spl5_2
| spl5_5 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl5_2
| spl5_5 ),
inference(subsumption_resolution,[],[f179,f68]) ).
fof(f68,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f179,plain,
( sK4 != addition(sK4,sK4)
| ~ spl5_2
| spl5_5 ),
inference(resolution,[],[f153,f66]) ).
fof(f153,plain,
( ~ leq(sK4,sK4)
| ~ spl5_2
| spl5_5 ),
inference(unit_resulting_resolution,[],[f76,f93,f56]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( ~ ismeetu(X0,X2,X1)
| leq(X4,X2)
| ~ leq(X4,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f93,plain,
( ~ leq(sK4,sK3)
| spl5_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f134,plain,
( ~ spl5_2
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl5_2
| spl5_4 ),
inference(subsumption_resolution,[],[f121,f68]) ).
fof(f121,plain,
( sK4 != addition(sK4,sK4)
| ~ spl5_2
| spl5_4 ),
inference(unit_resulting_resolution,[],[f115,f66]) ).
fof(f115,plain,
( ~ leq(sK4,sK4)
| ~ spl5_2
| spl5_4 ),
inference(unit_resulting_resolution,[],[f89,f76,f57]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( leq(X4,X1)
| ~ leq(X4,X0)
| ~ ismeetu(X0,X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f89,plain,
( ~ leq(sK4,sK2)
| spl5_4 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f104,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_7
| spl5_1 ),
inference(avatar_split_clause,[],[f79,f70,f101,f91,f87]) ).
fof(f79,plain,
( leq(sK0(sK4,sK3,sK2),sK2)
| ~ leq(sK4,sK3)
| ~ leq(sK4,sK2)
| spl5_1 ),
inference(resolution,[],[f71,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( leq(sK0(X0,X1,X2),X2)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2)
| ~ leq(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
( ~ ismeet(sK4,sK3,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f99,plain,
( ~ spl5_4
| ~ spl5_5
| spl5_6
| spl5_1 ),
inference(avatar_split_clause,[],[f81,f70,f96,f91,f87]) ).
fof(f81,plain,
( leq(sK0(sK4,sK3,sK2),sK3)
| ~ leq(sK4,sK3)
| ~ leq(sK4,sK2)
| spl5_1 ),
inference(resolution,[],[f71,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( leq(sK0(X0,X1,X2),X1)
| ~ leq(X0,X1)
| ismeet(X0,X1,X2)
| ~ leq(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f94,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| spl5_1 ),
inference(avatar_split_clause,[],[f80,f70,f91,f87,f83]) ).
fof(f80,plain,
( ~ leq(sK4,sK3)
| ~ leq(sK4,sK2)
| ~ leq(sK0(sK4,sK3,sK2),sK4)
| spl5_1 ),
inference(resolution,[],[f71,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ leq(X0,X2)
| ismeet(X0,X1,X2)
| ~ leq(X0,X1)
| ~ leq(sK0(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f63,f74,f70]) ).
fof(f63,plain,
( ~ ismeetu(sK4,sK3,sK2)
| ~ ismeet(sK4,sK3,sK2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( ~ ismeetu(sK4,sK3,sK2)
| ~ ismeet(sK4,sK3,sK2) )
& ( ismeetu(sK4,sK3,sK2)
| ismeet(sK4,sK3,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2] :
( ( ~ ismeetu(X2,X1,X0)
| ~ ismeet(X2,X1,X0) )
& ( ismeetu(X2,X1,X0)
| ismeet(X2,X1,X0) ) )
=> ( ( ~ ismeetu(sK4,sK3,sK2)
| ~ ismeet(sK4,sK3,sK2) )
& ( ismeetu(sK4,sK3,sK2)
| ismeet(sK4,sK3,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( ~ ismeetu(X2,X1,X0)
| ~ ismeet(X2,X1,X0) )
& ( ismeetu(X2,X1,X0)
| ismeet(X2,X1,X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X2,X1,X0] :
( ( ~ ismeetu(X0,X1,X2)
| ~ ismeet(X0,X1,X2) )
& ( ismeetu(X0,X1,X2)
| ismeet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X2,X1,X0] :
( ismeet(X0,X1,X2)
<~> ismeetu(X0,X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1] :
( ismeetu(X0,X1,X2)
<=> ismeet(X0,X1,X2) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X3,X4,X5] :
( ismeetu(X3,X4,X5)
<=> ismeet(X3,X4,X5) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X3,X4,X5] :
( ismeetu(X3,X4,X5)
<=> ismeet(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f77,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f62,f74,f70]) ).
fof(f62,plain,
( ismeetu(sK4,sK3,sK2)
| ismeet(sK4,sK3,sK2) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : KLE029+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 00:27:09 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 % (19131)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)
% 0.22/0.48 % (19123)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)
% 0.22/0.50 % (19123)Instruction limit reached!
% 0.22/0.50 % (19123)------------------------------
% 0.22/0.50 % (19123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.50 % (19123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.50 % (19123)Termination reason: Unknown
% 0.22/0.50 % (19123)Termination phase: Saturation
% 0.22/0.50
% 0.22/0.50 % (19123)Memory used [KB]: 6012
% 0.22/0.50 % (19123)Time elapsed: 0.064 s
% 0.22/0.50 % (19123)Instructions burned: 7 (million)
% 0.22/0.50 % (19123)------------------------------
% 0.22/0.50 % (19123)------------------------------
% 0.22/0.50 % (19115)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)
% 0.22/0.51 % (19132)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.52 % (19120)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.52 % (19120)Refutation not found, incomplete strategy% (19120)------------------------------
% 0.22/0.52 % (19120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (19120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52 % (19120)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52 % (19120)Memory used [KB]: 1535
% 0.22/0.52 % (19120)Time elapsed: 0.093 s
% 0.22/0.52 % (19120)Instructions burned: 3 (million)
% 0.22/0.52 % (19120)------------------------------
% 0.22/0.52 % (19120)------------------------------
% 0.22/0.52 % (19114)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)
% 0.22/0.52 % (19121)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)
% 0.22/0.53 % (19130)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)
% 0.22/0.53 % (19121)Refutation not found, incomplete strategy% (19121)------------------------------
% 0.22/0.53 % (19121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (19122)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)
% 0.22/0.53 % (19121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (19121)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (19121)Memory used [KB]: 6012
% 0.22/0.53 % (19121)Time elapsed: 0.101 s
% 0.22/0.53 % (19121)Instructions burned: 3 (million)
% 0.22/0.53 % (19121)------------------------------
% 0.22/0.53 % (19121)------------------------------
% 0.22/0.53 % (19115)First to succeed.
% 0.22/0.53 % (19115)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (19115)------------------------------
% 0.22/0.53 % (19115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (19115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (19115)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (19115)Memory used [KB]: 6268
% 0.22/0.53 % (19115)Time elapsed: 0.091 s
% 0.22/0.53 % (19115)Instructions burned: 24 (million)
% 0.22/0.53 % (19115)------------------------------
% 0.22/0.53 % (19115)------------------------------
% 0.22/0.53 % (19105)Success in time 0.162 s
%------------------------------------------------------------------------------