TSTP Solution File: NLP266_23 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Fri May 3 02:45:38 EDT 2024
% Result : Theorem 1.12s 1.19s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 553 ( 0 equ)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 540 ( 213 ~; 192 |; 91 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 157 ( 157 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 : 278 ( 13 sgn 127 !; 45 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
tff(f2,axiom,
! [X0: '$ki_world',X2] : '$ki_exists_in_world_$i'(X0,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( string(X4,X3)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f5,axiom,
? [X5] :
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( number(X0,X5,one)
& entry_box(X0,X5) ) )
& '$ki_exists_in_world_$i'('$ki_local_world',X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f6,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ! [X6] :
( '$ki_exists_in_world_$i'(X0,X6)
=> ! [X3] :
( '$ki_exists_in_world_$i'(X0,X3)
=> ! [X5] :
( '$ki_exists_in_world_$i'(X0,X5)
=> ( ( entry_box(X0,X5)
& string(X0,X3) )
=> ? [X7] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& '$ki_exists_in_world_$i'(X0,X7) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f7,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ? [X5] :
( ? [X7] :
( ? [X6] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( number(X4,X5,one)
& entry_box(X4,X5)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f8,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( ? [X5] :
( ? [X7] :
( ? [X6] :
( ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ! [X8] :
( '$ki_exists_in_world_$i'(X4,X8)
=> ( do(X4,X6,X7,X8)
=> in(X4,X3,X5,X8) ) ) )
& ! [X4: '$ki_world'] :
( '$ki_accessible'(X0,X4)
=> ( number(X4,X5,one)
& entry_box(X4,X5)
& userid(X4,u,X3) ) )
& '$ki_exists_in_world_$i'(X0,X6) )
& '$ki_exists_in_world_$i'(X0,X7) )
& '$ki_exists_in_world_$i'(X0,X5) )
& '$ki_exists_in_world_$i'(X0,X3) ) ),
inference(negated_conjecture,[],[f7]) ).
tff(f9,plain,
! [X0: '$ki_world',X1] : '$ki_exists_in_world_$i'(X0,X1),
inference(rectify,[],[f2]) ).
tff(f11,plain,
! [X0: '$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,[],[f4]) ).
tff(f12,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,[],[f5]) ).
tff(f13,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_$i'(X0,X4) ) ) ) ) ) ),
inference(rectify,[],[f6]) ).
tff(f14,plain,
~ ! [X0: '$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,[],[f8]) ).
tff(f15,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'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f16,plain,
? [X0] :
( ! [X1: '$ki_world'] :
( ( number(X1,X0,one)
& entry_box(X1,X0) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f17,plain,
! [X0: '$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,[],[f13]) ).
tff(f18,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'('$ki_local_world',X0) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
? [X0: '$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,[],[f14]) ).
tff(f20,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'('$ki_local_world',X0) ),
inference(flattening,[],[f19]) ).
tff(f23,plain,
! [X0: '$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(f24,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'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f15,f23]) ).
tff(f25,plain,
( ? [X0] :
( ! [X1: '$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'('$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
( ! [X1: '$ki_world'] :
( ( number(X1,sK2,one)
& entry_box(X1,sK2) )
| ~ '$ki_accessible'('$ki_local_world',X1) )
& '$ki_exists_in_world_$i'('$ki_local_world',sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f25]) ).
tff(f27,plain,
! [X0: '$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(f28,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'('$ki_local_world',X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f18,f27]) ).
tff(f29,plain,
( ? [X0: '$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(f30,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) )
& '$ki_accessible'(sK4,sK5(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f31,plain,
! [X1,X2,X3,X4] :
( ? [X6] :
( ~ in(sK5(X1,X2,X3,X4),X1,X2,X6)
& do(sK5(X1,X2,X3,X4),X4,X3,X6)
& '$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_$i'(sK5(X1,X2,X3,X4),sK6(X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
tff(f32,plain,
! [X1,X2] :
( ? [X7: '$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(f33,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])],[f20,f32,f31,f30,f29]) ).
tff(f34,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'(X0,X1),
inference(cnf_transformation,[],[f1]) ).
tff(f35,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f9]) ).
tff(f38,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( userid(X2,u,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f24]) ).
tff(f39,plain,
! [X2: '$ki_world',X0: '$ki_world'] :
( string(X2,sK1(X0))
| ~ '$ki_accessible'(X0,X2)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f24]) ).
tff(f41,plain,
! [X1: '$ki_world'] :
( entry_box(X1,sK2)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f42,plain,
! [X1: '$ki_world'] :
( number(X1,sK2,one)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f44,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,[],[f28]) ).
tff(f51,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,[],[f33]) ).
tff(f53,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_$i'(sK4,X1) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_49,plain,
'$ki_accessible'(X0_13,X1_13),
inference(cnf_transformation,[],[f34]) ).
cnf(c_50,plain,
'$ki_exists_in_world_$i'(X0_13,X0),
inference(cnf_transformation,[],[f35]) ).
cnf(c_52,plain,
( ~ '$ki_accessible'(X0_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| string(X1_13,sK1(X0_13)) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_53,plain,
( ~ '$ki_accessible'(X0_13,X1_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13)
| userid(X1_13,u,sK1(X0_13)) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_55,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| number(X0_13,sK2,one) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_56,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| entry_box(X0_13,sK2) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_58,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'('$ki_local_world',X1_13)
| in(X0_13,X1,X2,X3) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_60,negated_conjecture,
( ~ in(sK5(X0,X1,X2,X3),X0,X1,sK6(X0,X1,X2,X3))
| ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$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_$i'(sK4,X3) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_62,negated_conjecture,
( ~ number(sK7(X0,X1),X1,one)
| ~ userid(sK7(X0,X1),u,X0)
| ~ entry_box(sK7(X0,X1),X1)
| ~ '$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_$i'(sK4,X3)
| do(sK5(X0,X1,X2,X3),X3,X2,sK6(X0,X1,X2,X3)) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_87,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| string(X1_13,sK1(X0_13)) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_49,c_52]) ).
cnf(c_90,plain,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| userid(X1_13,u,sK1(X0_13)) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_53]) ).
cnf(c_97,plain,
entry_box(X0_13,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_49]) ).
cnf(c_99,plain,
number(X0_13,sK2,one),
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_49]) ).
cnf(c_100,plain,
string(X0_13,sK1(X1_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_87,c_49]) ).
cnf(c_101,plain,
userid(X0_13,u,sK1(X1_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_49]) ).
cnf(c_103,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
| ~ '$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)
| in(X0_13,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_49]) ).
cnf(c_113,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_60,c_50]) ).
cnf(c_114,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_62,c_50]) ).
cnf(c_115,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)
| in(X0_13,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_103,c_50]) ).
cnf(c_131,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_114,c_50,c_50,c_50]) ).
cnf(c_152,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_113,c_50,c_50,c_50]) ).
cnf(c_174,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,X1,X2),X3)
| ~ string(X1_13,X1)
| ~ entry_box(X1_13,X2)
| in(X0_13,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_115,c_50,c_50,c_50,c_49]) ).
cnf(c_188,plain,
( ~ do(X0_13,X0,sK3(X1_13,X0,sK1(X2_13),X1),X2)
| ~ entry_box(X1_13,X1)
| in(X0_13,sK1(X2_13),X1,X2) ),
inference(resolution,[status(thm)],[c_100,c_174]) ).
cnf(c_202,plain,
( ~ do(sK5(sK1(X0_13),X0,X1,X2),X3,sK3(X1_13,X3,sK1(X0_13),X0),sK6(sK1(X0_13),X0,X1,X2))
| ~ userid(sK7(sK1(X0_13),X0),u,sK1(X0_13))
| ~ number(sK7(sK1(X0_13),X0),X0,one)
| ~ entry_box(sK7(sK1(X0_13),X0),X0)
| ~ entry_box(X1_13,X0) ),
inference(resolution,[status(thm)],[c_152,c_188]) ).
cnf(c_214,plain,
( ~ do(sK5(sK1(X0_13),X0,X1,X2),X3,sK3(X1_13,X3,sK1(X0_13),X0),sK6(sK1(X0_13),X0,X1,X2))
| ~ number(sK7(sK1(X0_13),X0),X0,one)
| ~ entry_box(sK7(sK1(X0_13),X0),X0)
| ~ entry_box(X1_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_202,c_101]) ).
cnf(c_224,plain,
( ~ number(sK7(sK1(X0_13),X0),X0,one)
| ~ entry_box(sK7(sK1(X0_13),X0),X0)
| do(sK5(sK1(X0_13),X0,X1,X2),X2,X1,sK6(sK1(X0_13),X0,X1,X2)) ),
inference(resolution,[status(thm)],[c_101,c_131]) ).
cnf(c_238,plain,
( ~ entry_box(sK7(sK1(X0_13),sK2),sK2)
| do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)) ),
inference(resolution,[status(thm)],[c_99,c_224]) ).
cnf(c_244,plain,
do(sK5(sK1(X0_13),sK2,X0,X1),X1,X0,sK6(sK1(X0_13),sK2,X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_238,c_97]) ).
cnf(c_247,plain,
( ~ do(sK5(sK1(X0_13),sK2,X0,X1),X2,sK3(X1_13,X2,sK1(X0_13),sK2),sK6(sK1(X0_13),sK2,X0,X1))
| ~ entry_box(sK7(sK1(X0_13),sK2),sK2)
| ~ entry_box(X1_13,sK2) ),
inference(resolution,[status(thm)],[c_99,c_214]) ).
cnf(c_255,plain,
~ do(sK5(sK1(X0_13),sK2,X0,X1),X2,sK3(X1_13,X2,sK1(X0_13),sK2),sK6(sK1(X0_13),sK2,X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_247,c_97,c_97]) ).
cnf(c_260,plain,
$false,
inference(resolution,[status(thm)],[c_244,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 18:27:01 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 1.12/1.19 % SZS status Started for theBenchmark.p
% 1.12/1.19 % SZS status Theorem for theBenchmark.p
% 1.12/1.19
% 1.12/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.12/1.19
% 1.12/1.19 ------ iProver source info
% 1.12/1.19
% 1.12/1.19 git: date: 2024-05-02 19:28:25 +0000
% 1.12/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.12/1.19 git: non_committed_changes: false
% 1.12/1.19
% 1.12/1.19 ------ Parsing...
% 1.12/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.12/1.19
% 1.12/1.19
% 1.12/1.19 ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe:4:0s
% 1.12/1.19
% 1.12/1.19 % SZS status Theorem for theBenchmark.p
% 1.12/1.19
% 1.12/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.12/1.19
% 1.12/1.19
%------------------------------------------------------------------------------