TSTP Solution File: SYO896_7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:39:06 EDT 2024
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 111 ( 47 ~; 28 |; 20 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 32 ( 32 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 29 ( 0 sgn 16 !; 7 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(f1,conjecture,
( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) )
& ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> q(X0) ) ) )
=> ~ ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ q(X0) ) )
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> ( p(X1)
=> q(X1) ) ) )
=> ~ ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) )
& ! [X0: '$ki_world'] :
( ~ q(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( ? [X2: '$ki_world'] :
( p(X2)
& '$ki_accessible'('$ki_local_world',X2) )
& ! [X0: '$ki_world'] :
( ~ q(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
& ! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
& ! [X2: '$ki_world'] :
( q(X2)
| ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(rectify,[],[f5]) ).
tff(f7,plain,
( ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
=> ( p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f8,plain,
( p(sK0)
& '$ki_accessible'('$ki_local_world',sK0)
& ! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
& ! [X2: '$ki_world'] :
( q(X2)
| ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
tff(f9,plain,
! [X2: '$ki_world'] :
( q(X2)
| ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) ),
inference(cnf_transformation,[],[f8]) ).
tff(f10,plain,
! [X1: '$ki_world'] :
( ~ q(X1)
| ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ),
inference(cnf_transformation,[],[f8]) ).
tff(f11,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f8]) ).
tff(f12,plain,
p(sK0),
inference(cnf_transformation,[],[f8]) ).
cnf(c_49,negated_conjecture,
p(sK0),
inference(cnf_transformation,[],[f12]) ).
cnf(c_50,negated_conjecture,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f11]) ).
cnf(c_51,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ p(X0_13)
| ~ q(X0_13) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_52,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ p(X0_13)
| q(X0_13) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_55,plain,
( ~ p(X0_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_52,c_51]) ).
cnf(c_56,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ p(X0_13) ),
inference(renaming,[status(thm)],[c_55]) ).
cnf(c_58,plain,
( ~ p(X0_13)
| ~ '$ki_accessible'('$ki_local_world',X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_56]) ).
cnf(c_59,negated_conjecture,
( ~ '$ki_accessible'('$ki_local_world',X0_13)
| ~ p(X0_13) ),
inference(renaming,[status(thm)],[c_58]) ).
cnf(c_68,plain,
~ p(sK0),
inference(resolution,[status(thm)],[c_50,c_59]) ).
cnf(c_69,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_68,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.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 20:44:16 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... pe_s
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.17
% 0.46/1.17
%------------------------------------------------------------------------------