TSTP Solution File: SYO888_10 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYO888_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:39:05 EDT 2024
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 158 ( 54 ~; 41 |; 31 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 97 ( 97 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 55 ( 0 sgn 40 !; 10 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f4,conjecture,
( ( ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( g('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) )
& ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> g(X0,X3) ) ) ) )
=> ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f5,negated_conjecture,
~ ( ( ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( g('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) )
& ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> g(X0,X3) ) ) ) )
=> ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) ) ),
inference(negated_conjecture,[],[f4]) ).
tff(f7,plain,
~ ( ( ! [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
=> ( g('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X0) ) ) )
& ! [X2] :
( '$ki_exists_in_world_$i'('$ki_local_world',X2)
=> ( f('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> g(X3,X2) ) ) ) )
=> ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X5: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X5)
=> h(X5,X4) ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f10,plain,
( ? [X4] :
( ? [X5: '$ki_world'] :
( ~ h(X5,X4)
& '$ki_accessible'('$ki_local_world',X5) )
& f('$ki_local_world',X4)
& '$ki_exists_in_world_$i'('$ki_local_world',X4) )
& ! [X0] :
( ! [X1: '$ki_world'] :
( h(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ g('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( g(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ f('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f11,plain,
( ? [X4] :
( ? [X5: '$ki_world'] :
( ~ h(X5,X4)
& '$ki_accessible'('$ki_local_world',X5) )
& f('$ki_local_world',X4)
& '$ki_exists_in_world_$i'('$ki_local_world',X4) )
& ! [X0] :
( ! [X1: '$ki_world'] :
( h(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ g('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( g(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ f('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(flattening,[],[f10]) ).
tff(f14,plain,
( ? [X0] :
( ? [X1: '$ki_world'] :
( ~ h(X1,X0)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',X0)
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( h(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ g('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) )
& ! [X4] :
( ! [X5: '$ki_world'] :
( g(X5,X4)
| ~ '$ki_accessible'('$ki_local_world',X5) )
| ~ f('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4) ) ),
inference(rectify,[],[f11]) ).
tff(f15,plain,
( ? [X0] :
( ? [X1: '$ki_world'] :
( ~ h(X1,X0)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',X0)
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ( ? [X1: '$ki_world'] :
( ~ h(X1,sK1)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',sK1)
& '$ki_exists_in_world_$i'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
( ? [X1: '$ki_world'] :
( ~ h(X1,sK1)
& '$ki_accessible'('$ki_local_world',X1) )
=> ( ~ h(sK2,sK1)
& '$ki_accessible'('$ki_local_world',sK2) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
( ~ h(sK2,sK1)
& '$ki_accessible'('$ki_local_world',sK2)
& f('$ki_local_world',sK1)
& '$ki_exists_in_world_$i'('$ki_local_world',sK1)
& ! [X2] :
( ! [X3: '$ki_world'] :
( h(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ g('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) )
& ! [X4] :
( ! [X5: '$ki_world'] :
( g(X5,X4)
| ~ '$ki_accessible'('$ki_local_world',X5) )
| ~ f('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f16,f15]) ).
tff(f18,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f21,plain,
! [X4: $i,X5: '$ki_world'] :
( g(X5,X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ f('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4) ),
inference(cnf_transformation,[],[f17]) ).
tff(f22,plain,
! [X2: $i,X3: '$ki_world'] :
( h(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ g('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f17]) ).
tff(f23,plain,
'$ki_exists_in_world_$i'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f17]) ).
tff(f24,plain,
f('$ki_local_world',sK1),
inference(cnf_transformation,[],[f17]) ).
tff(f25,plain,
'$ki_accessible'('$ki_local_world',sK2),
inference(cnf_transformation,[],[f17]) ).
tff(f26,plain,
~ h(sK2,sK1),
inference(cnf_transformation,[],[f17]) ).
cnf(c_49,plain,
'$ki_accessible'(X0_13,X0_13),
inference(cnf_transformation,[],[f18]) ).
cnf(c_52,negated_conjecture,
~ h(sK2,sK1),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,negated_conjecture,
'$ki_accessible'('$ki_local_world',sK2),
inference(cnf_transformation,[],[f25]) ).
cnf(c_54,negated_conjecture,
f('$ki_local_world',sK1),
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,negated_conjecture,
'$ki_exists_in_world_$i'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f23]) ).
cnf(c_56,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ g('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| h(X0_13,X0) ),
inference(cnf_transformation,[],[f22]) ).
cnf(c_57,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ f('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| g(X0_13,X0) ),
inference(cnf_transformation,[],[f21]) ).
cnf(c_58,plain,
'$ki_accessible'('$ki_local_world','$ki_local_world'),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_60,plain,
( ~ '$ki_accessible'('$ki_local_world','$ki_local_world')
| ~ f('$ki_local_world',sK1)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',sK1)
| g('$ki_local_world',sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_109,plain,
( ~ '$ki_accessible'('$ki_local_world',sK2)
| ~ g('$ki_local_world',sK1)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',sK1) ),
inference(resolution,[status(thm)],[c_52,c_56]) ).
cnf(c_110,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_109,c_60,c_58,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO888_10 : TPTP v8.2.0. Released v8.2.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:08:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... pe_s pe:1:0s
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------