TSTP Solution File: SYN549+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 18:04:24 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 109 ( 3 unt; 0 def)
% Number of atoms : 411 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 469 ( 167 ~; 203 |; 74 &)
% ( 14 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 125 ( 81 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1146,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f586,f740,f749,f753,f757,f1044,f1045,f1046,f1065,f1077,f1145]) ).
fof(f1145,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_5
| ~ spl7_16 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_5
| ~ spl7_16 ),
inference(subsumption_resolution,[],[f1140,f47]) ).
fof(f47,plain,
( ~ sP1(sK6(initial_world))
| spl7_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl7_1
<=> sP1(sK6(initial_world)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f1140,plain,
( sP1(sK6(initial_world))
| ~ spl7_2
| ~ spl7_5
| ~ spl7_16 ),
inference(resolution,[],[f1131,f588]) ).
fof(f588,plain,
( ! [X0] :
( ~ reachable(X0,sK5(sK6(initial_world)))
| sP1(X0) )
| ~ spl7_5 ),
inference(resolution,[],[f69,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ q(X1)
| sP1(X0)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( sP1(X0)
| ( ! [X1] :
( ~ q(X1)
| ~ reachable(X0,X1) )
& ! [X2] :
( ~ p(X2)
| ~ reachable(X0,X2) ) ) )
& ( ( q(sK2(X0))
& reachable(X0,sK2(X0)) )
| ( p(sK3(X0))
& reachable(X0,sK3(X0)) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f14,f16,f15]) ).
fof(f15,plain,
! [X0] :
( ? [X3] :
( q(X3)
& reachable(X0,X3) )
=> ( q(sK2(X0))
& reachable(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ? [X4] :
( p(X4)
& reachable(X0,X4) )
=> ( p(sK3(X0))
& reachable(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0] :
( ( sP1(X0)
| ( ! [X1] :
( ~ q(X1)
| ~ reachable(X0,X1) )
& ! [X2] :
( ~ p(X2)
| ~ reachable(X0,X2) ) ) )
& ( ? [X3] :
( q(X3)
& reachable(X0,X3) )
| ? [X4] :
( p(X4)
& reachable(X0,X4) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1] :
( ( sP1(X1)
| ( ! [X4] :
( ~ q(X4)
| ~ reachable(X1,X4) )
& ! [X5] :
( ~ p(X5)
| ~ reachable(X1,X5) ) ) )
& ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X5] :
( p(X5)
& reachable(X1,X5) )
| ~ sP1(X1) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X1] :
( ( sP1(X1)
| ( ! [X4] :
( ~ q(X4)
| ~ reachable(X1,X4) )
& ! [X5] :
( ~ p(X5)
| ~ reachable(X1,X5) ) ) )
& ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X5] :
( p(X5)
& reachable(X1,X5) )
| ~ sP1(X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1] :
( sP1(X1)
<=> ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X5] :
( p(X5)
& reachable(X1,X5) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f69,plain,
( q(sK5(sK6(initial_world)))
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl7_5
<=> q(sK5(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f1131,plain,
( reachable(sK6(initial_world),sK5(sK6(initial_world)))
| ~ spl7_2
| ~ spl7_16 ),
inference(resolution,[],[f1090,f1094]) ).
fof(f1094,plain,
( reachable(sK4(sK6(initial_world)),sK5(sK6(initial_world)))
| ~ spl7_16 ),
inference(resolution,[],[f153,f41]) ).
fof(f41,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : reachable(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).
fof(f153,plain,
( ! [X0] :
( ~ reachable(sK5(sK6(initial_world)),X0)
| reachable(sK4(sK6(initial_world)),X0) )
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl7_16
<=> ! [X0] :
( ~ reachable(sK5(sK6(initial_world)),X0)
| reachable(sK4(sK6(initial_world)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f1090,plain,
( ! [X0] :
( ~ reachable(sK4(sK6(initial_world)),X0)
| reachable(sK6(initial_world),X0) )
| ~ spl7_2 ),
inference(resolution,[],[f1075,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ reachable(X0,X1)
| ~ reachable(X1,X2)
| reachable(X0,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2] :
( reachable(X0,X2)
| ~ reachable(X1,X2)
| ~ reachable(X0,X1) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0,X1,X2] :
( reachable(X0,X2)
| ~ reachable(X1,X2)
| ~ reachable(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( reachable(X1,X2)
& reachable(X0,X1) )
=> reachable(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).
fof(f1075,plain,
( reachable(sK6(initial_world),sK4(sK6(initial_world)))
| ~ spl7_2 ),
inference(resolution,[],[f52,f33]) ).
fof(f33,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( ! [X2] :
( ~ q(X2)
| ~ reachable(X1,X2) )
& ~ p(X1) )
| ~ reachable(X0,X1) ) )
& ( ( ( ( q(sK5(X0))
& reachable(sK4(X0),sK5(X0)) )
| p(sK4(X0)) )
& reachable(X0,sK4(X0)) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f19,f21,f20]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( ( ? [X4] :
( q(X4)
& reachable(X3,X4) )
| p(X3) )
& reachable(X0,X3) )
=> ( ( ? [X4] :
( q(X4)
& reachable(sK4(X0),X4) )
| p(sK4(X0)) )
& reachable(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X4] :
( q(X4)
& reachable(sK4(X0),X4) )
=> ( q(sK5(X0))
& reachable(sK4(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ( sP0(X0)
| ! [X1] :
( ( ! [X2] :
( ~ q(X2)
| ~ reachable(X1,X2) )
& ~ p(X1) )
| ~ reachable(X0,X1) ) )
& ( ? [X3] :
( ( ? [X4] :
( q(X4)
& reachable(X3,X4) )
| p(X3) )
& reachable(X0,X3) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1] :
( ( sP0(X1)
| ! [X2] :
( ( ! [X3] :
( ~ q(X3)
| ~ reachable(X2,X3) )
& ~ p(X2) )
| ~ reachable(X1,X2) ) )
& ( ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) )
| ~ sP0(X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1] :
( sP0(X1)
<=> ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52,plain,
( sP0(sK6(initial_world))
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl7_2
<=> sP0(sK6(initial_world)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f1077,plain,
( spl7_16
| ~ spl7_2
| spl7_6 ),
inference(avatar_split_clause,[],[f1076,f71,f50,f152]) ).
fof(f71,plain,
( spl7_6
<=> p(sK4(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f1076,plain,
( ! [X0] :
( ~ reachable(sK5(sK6(initial_world)),X0)
| reachable(sK4(sK6(initial_world)),X0) )
| ~ spl7_2
| spl7_6 ),
inference(subsumption_resolution,[],[f1073,f72]) ).
fof(f72,plain,
( ~ p(sK4(sK6(initial_world)))
| spl7_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f1073,plain,
( ! [X0] :
( p(sK4(sK6(initial_world)))
| ~ reachable(sK5(sK6(initial_world)),X0)
| reachable(sK4(sK6(initial_world)),X0) )
| ~ spl7_2 ),
inference(resolution,[],[f52,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ sP0(X0)
| p(sK4(X0))
| ~ reachable(sK5(X0),X1)
| reachable(sK4(X0),X1) ),
inference(resolution,[],[f34,f42]) ).
fof(f34,plain,
! [X0] :
( reachable(sK4(X0),sK5(X0))
| p(sK4(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f1065,plain,
( spl7_2
| ~ spl7_8
| ~ spl7_21 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
fof(f1064,plain,
( $false
| spl7_2
| ~ spl7_8
| ~ spl7_21 ),
inference(subsumption_resolution,[],[f1063,f51]) ).
fof(f51,plain,
( ~ sP0(sK6(initial_world))
| spl7_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f1063,plain,
( sP0(sK6(initial_world))
| ~ spl7_8
| ~ spl7_21 ),
inference(resolution,[],[f1047,f196]) ).
fof(f196,plain,
( reachable(sK6(initial_world),sK3(sK6(initial_world)))
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl7_21
<=> reachable(sK6(initial_world),sK3(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
fof(f1047,plain,
( ! [X0] :
( ~ reachable(X0,sK3(sK6(initial_world)))
| sP0(X0) )
| ~ spl7_8 ),
inference(resolution,[],[f86,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ p(X1)
| sP0(X0)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f86,plain,
( p(sK3(sK6(initial_world)))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl7_8
<=> p(sK3(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f1046,plain,
( spl7_20
| spl7_21
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f744,f46,f194,f190]) ).
fof(f190,plain,
( spl7_20
<=> reachable(sK6(initial_world),sK2(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
fof(f744,plain,
( reachable(sK6(initial_world),sK3(sK6(initial_world)))
| reachable(sK6(initial_world),sK2(sK6(initial_world)))
| ~ spl7_1 ),
inference(resolution,[],[f48,f27]) ).
fof(f27,plain,
! [X0] :
( ~ sP1(X0)
| reachable(X0,sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f48,plain,
( sP1(sK6(initial_world))
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f1045,plain,
( spl7_20
| spl7_8
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f746,f46,f84,f190]) ).
fof(f746,plain,
( p(sK3(sK6(initial_world)))
| reachable(sK6(initial_world),sK2(sK6(initial_world)))
| ~ spl7_1 ),
inference(resolution,[],[f48,f28]) ).
fof(f28,plain,
! [X0] :
( ~ sP1(X0)
| p(sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f1044,plain,
( spl7_2
| ~ spl7_7
| ~ spl7_20 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| spl7_2
| ~ spl7_7
| ~ spl7_20 ),
inference(subsumption_resolution,[],[f1041,f51]) ).
fof(f1041,plain,
( sP0(sK6(initial_world))
| ~ spl7_7
| ~ spl7_20 ),
inference(resolution,[],[f992,f41]) ).
fof(f992,plain,
( ! [X0] :
( ~ reachable(X0,sK6(initial_world))
| sP0(X0) )
| ~ spl7_7
| ~ spl7_20 ),
inference(resolution,[],[f758,f192]) ).
fof(f192,plain,
( reachable(sK6(initial_world),sK2(sK6(initial_world)))
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ reachable(X1,sK2(sK6(initial_world)))
| sP0(X0)
| ~ reachable(X0,X1) )
| ~ spl7_7 ),
inference(resolution,[],[f82,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ q(X2)
| sP0(X0)
| ~ reachable(X1,X2)
| ~ reachable(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f82,plain,
( q(sK2(sK6(initial_world)))
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl7_7
<=> q(sK2(sK6(initial_world))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f757,plain,
( spl7_7
| ~ spl7_1
| spl7_8 ),
inference(avatar_split_clause,[],[f756,f84,f46,f80]) ).
fof(f756,plain,
( q(sK2(sK6(initial_world)))
| ~ spl7_1
| spl7_8 ),
inference(subsumption_resolution,[],[f747,f85]) ).
fof(f85,plain,
( ~ p(sK3(sK6(initial_world)))
| spl7_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f747,plain,
( p(sK3(sK6(initial_world)))
| q(sK2(sK6(initial_world)))
| ~ spl7_1 ),
inference(resolution,[],[f48,f30]) ).
fof(f30,plain,
! [X0] :
( ~ sP1(X0)
| p(sK3(X0))
| q(sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f753,plain,
( spl7_7
| ~ spl7_1
| spl7_21 ),
inference(avatar_split_clause,[],[f752,f194,f46,f80]) ).
fof(f752,plain,
( q(sK2(sK6(initial_world)))
| ~ spl7_1
| spl7_21 ),
inference(subsumption_resolution,[],[f745,f195]) ).
fof(f195,plain,
( ~ reachable(sK6(initial_world),sK3(sK6(initial_world)))
| spl7_21 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f745,plain,
( reachable(sK6(initial_world),sK3(sK6(initial_world)))
| q(sK2(sK6(initial_world)))
| ~ spl7_1 ),
inference(resolution,[],[f48,f29]) ).
fof(f29,plain,
! [X0] :
( ~ sP1(X0)
| reachable(X0,sK3(X0))
| q(sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f749,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f748,f46,f50]) ).
fof(f748,plain,
( ~ sP0(sK6(initial_world))
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f743,f41]) ).
fof(f743,plain,
( ~ sP0(sK6(initial_world))
| ~ reachable(initial_world,initial_world)
| ~ spl7_1 ),
inference(resolution,[],[f48,f40]) ).
fof(f40,plain,
! [X0] :
( ~ sP1(sK6(X0))
| ~ sP0(sK6(X0))
| ~ reachable(initial_world,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( ( ~ sP1(sK6(X0))
| ~ sP0(sK6(X0)) )
& ( sP1(sK6(X0))
| sP0(sK6(X0)) )
& reachable(X0,sK6(X0)) )
| ~ reachable(initial_world,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f24,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( ( ~ sP1(X1)
| ~ sP0(X1) )
& ( sP1(X1)
| sP0(X1) )
& reachable(X0,X1) )
=> ( ( ~ sP1(sK6(X0))
| ~ sP0(sK6(X0)) )
& ( sP1(sK6(X0))
| sP0(sK6(X0)) )
& reachable(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ( ~ sP1(X1)
| ~ sP0(X1) )
& ( sP1(X1)
| sP0(X1) )
& reachable(X0,X1) )
| ~ reachable(initial_world,X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( ( ~ sP1(X1)
| ~ sP0(X1) )
& ( sP1(X1)
| sP0(X1) )
& reachable(X0,X1) )
| ~ reachable(initial_world,X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ? [X1] :
( ( sP0(X1)
<~> sP1(X1) )
& reachable(X0,X1) )
| ~ reachable(initial_world,X0) ),
inference(definition_folding,[],[f6,f10,f9]) ).
fof(f6,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) )
<~> ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X5] :
( p(X5)
& reachable(X1,X5) ) ) )
& reachable(X0,X1) )
| ~ reachable(initial_world,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) )
<=> ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X5] :
( p(X5)
& reachable(X1,X5) ) ) ) )
& reachable(initial_world,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) )
<=> ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X4] :
( p(X4)
& reachable(X1,X4) ) ) ) )
& reachable(initial_world,X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X0] :
( ! [X1] :
( reachable(X0,X1)
=> ( ? [X2] :
( ( ? [X3] :
( q(X3)
& reachable(X2,X3) )
| p(X2) )
& reachable(X1,X2) )
<=> ( ? [X4] :
( q(X4)
& reachable(X1,X4) )
| ? [X4] :
( p(X4)
& reachable(X1,X4) ) ) ) )
& reachable(initial_world,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f740,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_6 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_6 ),
inference(subsumption_resolution,[],[f736,f47]) ).
fof(f736,plain,
( sP1(sK6(initial_world))
| ~ spl7_2
| ~ spl7_6 ),
inference(resolution,[],[f710,f582]) ).
fof(f582,plain,
( reachable(sK6(initial_world),sK4(sK6(initial_world)))
| ~ spl7_2 ),
inference(resolution,[],[f52,f33]) ).
fof(f710,plain,
( ! [X0] :
( ~ reachable(X0,sK4(sK6(initial_world)))
| sP1(X0) )
| ~ spl7_6 ),
inference(resolution,[],[f73,f31]) ).
fof(f31,plain,
! [X2,X0] :
( ~ p(X2)
| sP1(X0)
| ~ reachable(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f73,plain,
( p(sK4(sK6(initial_world)))
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f586,plain,
( spl7_5
| ~ spl7_2
| spl7_6 ),
inference(avatar_split_clause,[],[f585,f71,f50,f67]) ).
fof(f585,plain,
( q(sK5(sK6(initial_world)))
| ~ spl7_2
| spl7_6 ),
inference(subsumption_resolution,[],[f581,f72]) ).
fof(f581,plain,
( p(sK4(sK6(initial_world)))
| q(sK5(sK6(initial_world)))
| ~ spl7_2 ),
inference(resolution,[],[f52,f35]) ).
fof(f35,plain,
! [X0] :
( ~ sP0(X0)
| p(sK4(X0))
| q(sK5(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f43,f50,f46]) ).
fof(f43,plain,
( sP0(sK6(initial_world))
| sP1(sK6(initial_world)) ),
inference(resolution,[],[f39,f41]) ).
fof(f39,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| sP0(sK6(X0))
| sP1(sK6(X0)) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:41:49 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (9416)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9421)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (9417)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (9418)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (9419)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (9420)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (9422)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (9423)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5]
% 0.15/0.39 % (9422)First to succeed.
% 0.15/0.39 % (9422)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (9422)------------------------------
% 0.15/0.39 % (9422)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (9422)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (9422)Memory used [KB]: 1125
% 0.15/0.39 % (9422)Time elapsed: 0.018 s
% 0.15/0.39 % (9422)Instructions burned: 26 (million)
% 0.15/0.39 % (9422)------------------------------
% 0.15/0.39 % (9422)------------------------------
% 0.15/0.39 % (9416)Success in time 0.031 s
%------------------------------------------------------------------------------