TSTP Solution File: NLP266_4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Mon Jun 24 12:09:21 EDT 2024
% Result : Theorem 1.75s 1.19s
% Output : CNFRefutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 111 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 773 ( 0 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 808 ( 340 ~; 331 |; 92 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 194 ( 194 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 19 usr; 7 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 383 ( 18 sgn 153 !; 45 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f2,axiom,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( ( '$ki_accessible'(X1,X2)
& '$ki_accessible'(X0,X1) )
=> '$ki_accessible'(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).
tff(f3,axiom,
! [X0: '$ki_world',X3] : '$ki_exists_in_world_$i'(X0,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f5,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( string(X5,X4)
& userid(X5,u,X4) ) )
& '$ki_exists_in_world_$i'(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f6,axiom,
? [X6] :
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( number(X0,X6,one)
& entry_box(X0,X6) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X7] :
( '$ki_exists_in_world_$i'(X0,X7)
=> ! [X4] :
( '$ki_exists_in_world_$i'(X0,X4)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X0,X6)
=> ( ( entry_box(X0,X6)
& string(X0,X4) )
=> ? [X8] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) )
& '$ki_exists_in_world_$i'(X0,X8) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f8,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( ? [X6] :
( ? [X8] :
( ? [X7] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( number(X5,X6,one)
& entry_box(X5,X6)
& userid(X5,u,X4) ) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X8) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f9,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X4] :
( ? [X6] :
( ? [X8] :
( ? [X7] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X9] :
( '$ki_exists_in_world_$i'(X5,X9)
=> ( do(X5,X7,X8,X9)
=> in(X5,X4,X6,X9) ) ) )
& ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ( number(X5,X6,one)
& entry_box(X5,X6)
& userid(X5,u,X4) ) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X8) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X4) ) ),
inference(negated_conjecture,[],[f8]) ).
tff(f10,plain,
! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
inference(rectify,[],[f3]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( ! [X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
=> ( string(X2,X1)
& userid(X2,u,X1) ) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f5]) ).
tff(f13,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( number(X1,X0,one)
& entry_box(X1,X0) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(rectify,[],[f6]) ).
tff(f14,plain,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X1] :
( '$ki_exists_in_world_$i'(X0,X1)
=> ! [X2] :
( '$ki_exists_in_world_$i'(X0,X2)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ( ( entry_box(X0,X3)
& string(X0,X2) )
=> ? [X4] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X1,X4,X6)
=> in(X5,X2,X3,X6) ) ) )
& '$ki_exists_in_world_$i'(X0,X4) ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
tff(f15,plain,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( '$ki_accessible'(X0,X5)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X5,X6)
=> ( do(X5,X4,X3,X6)
=> in(X5,X1,X2,X6) ) ) )
& ! [X7: '$ki_world'] :
( '$ki_accessible'(X0,X7)
=> ( number(X7,X2,one)
& entry_box(X7,X2)
& userid(X7,u,X1) ) )
& '$ki_exists_in_world_$i'(X0,X4) )
& '$ki_exists_in_world_$i'(X0,X3) )
& '$ki_exists_in_world_$i'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) ) ),
inference(rectify,[],[f9]) ).
tff(f16,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f17,plain,
! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f19,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f13]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X4) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X4) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f20]) ).
tff(f22,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f23,plain,
? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f22]) ).
tff(f26,plain,
! [X0: '$ki_world'] :
( ? [X1] :
( ! [X2: '$ki_world'] :
( ( string(X2,X1)
& userid(X2,u,X1) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,X1) )
=> ( ! [X2: '$ki_world'] :
( ( string(X2,sK1(X0))
& userid(X2,u,sK1(X0)) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( ( ! [X2: '$ki_world'] :
( ( string(X2,sK1(X0))
& userid(X2,u,sK1(X0)) )
| ~ '$ki_accessible'(X0,X2) )
& '$ki_exists_in_world_$i'(X0,sK1(X0)) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f26]) ).
tff(f28,plain,
( ? [X0] :
( ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ( ! [X1: '$ki_world'] :
( ( number(X1,sK2,one)
& entry_box(X1,sK2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ! [X1: '$ki_world'] :
( ( number(X1,sK2,one)
& entry_box(X1,sK2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f28]) ).
tff(f30,plain,
! [X0: '$ki_world',X1,X2,X3] :
( ? [X4] :
( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,X4,X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X4) )
=> ( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
! [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ! [X5: '$ki_world'] :
( ! [X6] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6) )
| ~ '$ki_accessible'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3)) )
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f30]) ).
tff(f32,plain,
( ? [X0: '$ki_world'] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(X0,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(X0,X7) )
| ~ '$ki_exists_in_world_$i'(X0,X4) )
| ~ '$ki_exists_in_world_$i'(X0,X3) )
| ~ '$ki_exists_in_world_$i'(X0,X2) )
| ~ '$ki_exists_in_world_$i'(X0,X1) )
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(sK4,X5) )
| ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(sK4,X7) )
| ~ '$ki_exists_in_world_$i'(sK4,X4) )
| ~ '$ki_exists_in_world_$i'(sK4,X3) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
| ~ '$ki_exists_in_world_$i'(sK4,X1) )
& '$ki_accessible'('$ki_local_world',sK4) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
! [X1,X2,X3,X4] :
( ? [X5: '$ki_world'] :
( ? [X6] :
( ~ in(X5,X1,X2,X6)
& do(X5,X4,X3,X6)
& '$ki_exists_in_world_$i'(X5,X6) )
& '$ki_accessible'(sK4,X5) )
=> ( ? [X6] :
( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
& do(sK5(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6) )
& '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f34,plain,
! [X1,X2,X3,X4] :
( ? [X6] :
( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
& do(sK5(X1,X2,X3,X4),X4,X3,X6)
& '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),X6) )
=> ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
& do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f35,plain,
! [X1,X2] :
( ? [X7: '$ki_world'] :
( ( ~ number(X7,X2,one)
| ~ entry_box(X7,X2)
| ~ userid(X7,u,X1) )
& '$ki_accessible'(sK4,X7) )
=> ( ( ~ number(sK7(X1,X2),X2,one)
| ~ entry_box(sK7(X1,X2),X2)
| ~ userid(sK7(X1,X2),u,X1) )
& '$ki_accessible'(sK4,sK7(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
& do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
& '$ki_exists_in_world_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4))
& '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) )
| ( ( ~ number(sK7(X1,X2),X2,one)
| ~ entry_box(sK7(X1,X2),X2)
| ~ userid(sK7(X1,X2),u,X1) )
& '$ki_accessible'(sK4,sK7(X1,X2)) )
| ~ '$ki_exists_in_world_$i'(sK4,X4) )
| ~ '$ki_exists_in_world_$i'(sK4,X3) )
| ~ '$ki_exists_in_world_$i'(sK4,X2) )
| ~ '$ki_exists_in_world_$i'(sK4,X1) )
& '$ki_accessible'('$ki_local_world',sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f23,f35,f34,f33,f32]) ).
tff(f37,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f38,plain,
! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
( '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'(X1,X2)
| ~ '$ki_accessible'(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f39,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f10]) ).
tff(f42,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f43,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f27]) ).
tff(f45,plain,
! [X1: '$ki_world'] :
( entry_box(X1,sK2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f46,plain,
! [X1: '$ki_world'] :
( number(X1,sK2,one)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f29]) ).
tff(f48,plain,
! [X2: $i,X3: $i,X0: '$ki_world',X1: $i,X6: $i,X5: '$ki_world'] :
( in(X5,X2,X3,X6)
| ~ do(X5,X1,sK3(X0,X1,X2,X3),X6)
| ~ '$ki_exists_in_world_$i'(X5,X6)
| ~ '$ki_accessible'(X0,X5)
| ~ entry_box(X0,X3)
| ~ string(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X3)
| ~ '$ki_exists_in_world_$i'(X0,X2)
| ~ '$ki_exists_in_world_$i'(X0,X1)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f31]) ).
tff(f49,plain,
'$ki_accessible'('$ki_local_world',sK4),
inference(cnf_transformation,[],[f36]) ).
tff(f50,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
| '$ki_accessible'(sK4,sK7(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f51,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( '$ki_accessible'(sK4,sK5(X1,X2,X3,X4))
| ~ number(sK7(X1,X2),X2,one)
| ~ entry_box(sK7(X1,X2),X2)
| ~ userid(sK7(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f54,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
| '$ki_accessible'(sK4,sK7(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f55,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( do(sK5(X1,X2,X3,X4),X4,X3,sK6(X1,X2,X3,X4))
| ~ number(sK7(X1,X2),X2,one)
| ~ entry_box(sK7(X1,X2),X2)
| ~ userid(sK7(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f56,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
| '$ki_accessible'(sK4,sK7(X1,X2))
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f57,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ~ in(sK5(X1,X2,X3,X4),X1,X2,sK6(X1,X2,X3,X4))
| ~ number(sK7(X1,X2),X2,one)
| ~ entry_box(sK7(X1,X2),X2)
| ~ userid(sK7(X1,X2),u,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X4)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
'$ki_accessible'(X0_13,X0_13),
inference(cnf_transformation,[],[f37]) ).
cnf(c_50,plain,
( ~ '$ki_accessible'(X0_13,X1_13)
| ~ '$ki_accessible'(X1_13,X2_13)
| '$ki_accessible'(X0_13,X2_13) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_51,plain,
'$ki_exists_in_world_$i'(X0_13,X0),
inference(cnf_transformation,[],[f39]) ).
cnf(c_53,plain,
( ~ '$ki_accessible'(X0_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| string(X1_13,sK1(X0_13)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
( ~ '$ki_accessible'(X0_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| userid(X1_13,u,sK1(X0_13)) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_56,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| number(X0_13,sK2,one) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_57,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| entry_box(X0_13,sK2) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_59,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ string(X1_13,X1)
| ~ entry_box(X1_13,X2)
| ~ '$ki_exists_in_world_$i'(X0_13,X3)
| ~ '$ki_exists_in_world_$i'(X1_13,X0)
| ~ '$ki_exists_in_world_$i'(X1_13,X1)
| ~ '$ki_exists_in_world_$i'(X1_13,X2)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| in(X0_13,X1,X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_61,negated_conjecture,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_62,negated_conjecture,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_63,negated_conjecture,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_64,negated_conjecture,
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3))
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_67,negated_conjecture,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_68,negated_conjecture,
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| '$ki_accessible'(sK4,sK5(X0,X1,X2,X3))
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_69,negated_conjecture,
'$ki_accessible'('$ki_local_world',sK4),
inference(cnf_transformation,[],[f49]) ).
cnf(c_71,plain,
'$ki_accessible'(sK4,sK4),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_94,plain,
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| '$ki_accessible'(sK4,sK5(X3,X0,X1,X2))
| '$ki_accessible'(sK4,sK7(X3,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_51]) ).
cnf(c_95,plain,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_62,c_51]) ).
cnf(c_96,plain,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_67,c_51]) ).
cnf(c_97,plain,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_51]) ).
cnf(c_98,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ string(X1_13,X1)
| ~ entry_box(X1_13,X2)
| ~ '$ki_exists_in_world_$i'(X1_13,X0)
| ~ '$ki_exists_in_world_$i'(X1_13,X1)
| ~ '$ki_exists_in_world_$i'(X1_13,X2)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| in(X0_13,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_51]) ).
cnf(c_99,plain,
( ~ '$ki_exists_in_world_$i'(sK4,X0)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| do(sK5(X3,X0,X1,X2),X2,X1,sK6(X3,X0,X1,X2))
| '$ki_accessible'(sK4,sK7(X3,X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_51]) ).
cnf(c_100,plain,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$ki_exists_in_world_$i'(sK4,X1)
| ~ '$ki_exists_in_world_$i'(sK4,X2)
| ~ '$ki_exists_in_world_$i'(sK4,X3)
| do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_51]) ).
cnf(c_134,plain,
( '$ki_accessible'(sK4,sK5(X0,X1,X2,X3))
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94,c_51,c_51,c_51]) ).
cnf(c_147,plain,
( do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3))
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99,c_51,c_51,c_51]) ).
cnf(c_160,plain,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| '$ki_accessible'(sK4,sK7(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95,c_51,c_51,c_51]) ).
cnf(c_175,plain,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| '$ki_accessible'(sK4,sK5(X0,X1,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96,c_51,c_51,c_51]) ).
cnf(c_196,plain,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100,c_51,c_51,c_51]) ).
cnf(c_217,plain,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97,c_51,c_51,c_51]) ).
cnf(c_240,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ string(X1_13,X1)
| ~ entry_box(X1_13,X2)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| in(X0_13,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_98,c_51,c_51,c_51]) ).
cnf(c_260,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),X1),X2)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ '$ki_accessible'(X2_13,X1_13)
| ~ entry_box(X1_13,X1)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(X0_13,sK1(X2_13),X1,X2) ),
inference(resolution,[status(thm)],[c_53,c_240]) ).
cnf(c_276,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),X1),X2)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ '$ki_accessible'(X2_13,X1_13)
| ~ entry_box(X1_13,X1)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(X0_13,sK1(X2_13),X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260,c_50]) ).
cnf(c_289,plain,
( ~ in(sK5(X0,sK2,X1,X2),X0,sK2,sK6(X0,sK2,X1,X2))
| ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
| ~ entry_box(sK7(X0,sK2),sK2) ),
inference(resolution,[status(thm)],[c_56,c_217]) ).
cnf(c_299,plain,
( ~ in(sK5(X0,sK2,X1,X2),X0,sK2,sK6(X0,sK2,X1,X2))
| ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289,c_57]) ).
cnf(c_304,plain,
( ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
| ~ entry_box(sK7(X0,sK2),sK2)
| do(sK5(X0,sK2,X1,X2),X2,X1,sK6(X0,sK2,X1,X2)) ),
inference(resolution,[status(thm)],[c_56,c_196]) ).
cnf(c_314,plain,
( ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
| do(sK5(X0,sK2,X1,X2),X2,X1,sK6(X0,sK2,X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_304,c_57]) ).
cnf(c_319,plain,
( ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
| ~ entry_box(sK7(X0,sK2),sK2)
| '$ki_accessible'(sK4,sK5(X0,sK2,X1,X2)) ),
inference(resolution,[status(thm)],[c_56,c_175]) ).
cnf(c_329,plain,
( ~ userid(sK7(X0,sK2),u,X0)
| ~ '$ki_accessible'('$ki_local_world',sK7(X0,sK2))
| '$ki_accessible'(sK4,sK5(X0,sK2,X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_319,c_57]) ).
cnf(c_343,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),sK2),X1)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ '$ki_accessible'(X2_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(X0_13,sK1(X2_13),sK2,X1) ),
inference(resolution,[status(thm)],[c_57,c_276]) ).
cnf(c_357,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),sK2),X1)
| ~ '$ki_accessible'(X1_13,X0_13)
| ~ '$ki_accessible'(X2_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(X0_13,sK1(X2_13),sK2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_343,c_50]) ).
cnf(c_464,plain,
( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,X0,X1)) ),
inference(resolution,[status(thm)],[c_54,c_329]) ).
cnf(c_474,plain,
( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_464,c_50]) ).
cnf(c_479,plain,
( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)) ),
inference(resolution,[status(thm)],[c_54,c_314]) ).
cnf(c_489,plain,
( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_479,c_50]) ).
cnf(c_494,plain,
( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
| ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13) ),
inference(resolution,[status(thm)],[c_54,c_299]) ).
cnf(c_504,plain,
( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
| ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494,c_50]) ).
cnf(c_577,plain,
( ~ '$ki_accessible'(X0_13,sK5(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0))
| ~ '$ki_accessible'(X1_13,sK7(sK1(X1_13),sK2))
| ~ '$ki_accessible'(X2_13,X0_13)
| ~ '$ki_accessible'('$ki_local_world',X1_13)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(sK5(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0),sK1(X2_13),sK2,sK6(sK1(X1_13),sK2,sK3(X0_13,X0,sK1(X2_13),sK2),X0)) ),
inference(resolution,[status(thm)],[c_357,c_489]) ).
cnf(c_578,plain,
( ~ '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK4)
| ~ '$ki_accessible'(sK4,sK4)
| in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
inference(instantiation,[status(thm)],[c_577]) ).
cnf(c_750,plain,
( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,X0,X1))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_768,plain,
( ~ do(sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0),X0,sK3(X1_13,X0,sK1(X2_13),sK2),sK6(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0))
| ~ '$ki_accessible'(X1_13,sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0))
| ~ '$ki_accessible'(X2_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X2_13)
| in(sK5(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0),sK1(X2_13),sK2,sK6(sK1(X0_13),sK2,sK3(X1_13,X0,sK1(X2_13),sK2),X0)) ),
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_770,plain,
( ~ do(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| ~ '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| ~ '$ki_accessible'('$ki_local_world',sK4)
| ~ '$ki_accessible'(sK4,sK4)
| in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
inference(instantiation,[status(thm)],[c_768]) ).
cnf(c_774,plain,
( ~ '$ki_accessible'(X0_13,sK7(sK1(X0_13),sK2))
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| '$ki_accessible'(sK4,sK5(sK1(X0_13),sK2,sK3(sK4,X0,sK1(X1_13),sK2),X0)) ),
inference(instantiation,[status(thm)],[c_474]) ).
cnf(c_775,plain,
( ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK4)
| '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one)) ),
inference(instantiation,[status(thm)],[c_774]) ).
cnf(c_789,plain,
( ~ in(sK5(sK1(X0_13),sK2,X0,X1),sK1(X0_13),sK2,sK6(sK1(X0_13),sK2,X0,X1))
| '$ki_accessible'(sK4,sK7(sK1(X0_13),sK2)) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_790,plain,
( do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1))
| '$ki_accessible'(sK4,sK7(sK1(X0_13),sK2)) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_800,plain,
( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_802,plain,
( '$ki_accessible'(sK4,sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_814,plain,
( do(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0),X0,sK3(sK4,X0,sK1(X0_13),sK2),sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_13),sK2),X0))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_790]) ).
cnf(c_816,plain,
( do(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_814]) ).
cnf(c_841,plain,
( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_789]) ).
cnf(c_842,plain,
( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))
| ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK4) ),
inference(instantiation,[status(thm)],[c_504]) ).
cnf(c_843,plain,
( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| ~ '$ki_accessible'(sK4,sK7(sK1(sK4),sK2))
| ~ '$ki_accessible'('$ki_local_world',sK4) ),
inference(instantiation,[status(thm)],[c_842]) ).
cnf(c_844,plain,
( ~ in(sK5(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))
| '$ki_accessible'(sK4,sK7(sK1(sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_858,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_844,c_843,c_816,c_802,c_775,c_770,c_578,c_71,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 04:48:54 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.75/1.19 % SZS status Started for theBenchmark.p
% 1.75/1.19 % SZS status Theorem for theBenchmark.p
% 1.75/1.19
% 1.75/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.75/1.19
% 1.75/1.19 ------ iProver source info
% 1.75/1.19
% 1.75/1.19 git: date: 2024-06-12 09:56:46 +0000
% 1.75/1.19 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 1.75/1.19 git: non_committed_changes: false
% 1.75/1.19
% 1.75/1.19 ------ Parsing...
% 1.75/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19 ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe:4:0s pe_e pe_s pe_e
% 1.75/1.19
% 1.75/1.19 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.75/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.75/1.19 ------ Proving...
% 1.75/1.19 ------ Problem Properties
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19 clauses 10
% 1.75/1.19 conjectures 1
% 1.75/1.19 EPR 3
% 1.75/1.19 Horn 8
% 1.75/1.19 unary 2
% 1.75/1.19 binary 3
% 1.75/1.19 lits 25
% 1.75/1.19 lits eq 0
% 1.75/1.19 fd_pure 0
% 1.75/1.19 fd_pseudo 0
% 1.75/1.19 fd_cond 0
% 1.75/1.19 fd_pseudo_cond 0
% 1.75/1.19 AC symbols 0
% 1.75/1.19
% 1.75/1.19 ------ Schedule dynamic 5 is on
% 1.75/1.19
% 1.75/1.19 ------ no equalities: superposition off
% 1.75/1.19
% 1.75/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19 ------
% 1.75/1.19 Current options:
% 1.75/1.19 ------
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19 ------ Proving...
% 1.75/1.19
% 1.75/1.19
% 1.75/1.19 % SZS status Theorem for theBenchmark.p
% 1.75/1.19
% 1.75/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.75/1.20
% 1.75/1.20
%------------------------------------------------------------------------------