TSTP Solution File: SEU324+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 17:05:49 EDT 2023
% Result : Theorem 3.91s 1.14s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 21 unt; 0 def)
% Number of atoms : 310 ( 74 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 353 ( 130 ~; 120 |; 73 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn; 58 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f4,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f15,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0)
& top_str(X0)
& topological_space(X0) )
=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_tops_1) ).
fof(f16,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> open_subset(interior(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f17,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f22,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f24,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( ( topstr_closure(X0,X1) = X1
& topological_space(X0) )
=> closed_subset(X1,X0) )
& ( closed_subset(X1,X0)
=> topstr_closure(X0,X1) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f25,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( interior(X0,X2) = X2
=> open_subset(X2,X0) )
& ( open_subset(X3,X1)
=> interior(X1,X3) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_tops_1) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( interior(X0,X2) = X2
=> open_subset(X2,X0) )
& ( open_subset(X3,X1)
=> interior(X1,X3) = X3 ) ) ) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f42,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| topstr_closure(X0,X1) != X1
| ~ topological_space(X0) )
& ( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| topstr_closure(X0,X1) != X1
| ~ topological_space(X0) )
& ( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,X0)
& interior(X0,X2) = X2 )
| ( interior(X1,X3) != X3
& open_subset(X3,X1) ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(X0))) )
& top_str(X1) )
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,X0)
& interior(X0,X2) = X2 )
| ( interior(X1,X3) != X3
& open_subset(X3,X1) ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(X0))) )
& top_str(X1) )
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f56]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( ( open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f69,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,X0)
& interior(X0,X2) = X2 )
| ( interior(X1,X3) != X3
& open_subset(X3,X1) ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(X0))) )
& top_str(X1) )
& top_str(X0)
& topological_space(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,sK5)
& interior(sK5,X2) = X2 )
| ( interior(X1,X3) != X3
& open_subset(X3,X1) ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(sK5))) )
& top_str(X1) )
& top_str(sK5)
& topological_space(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,sK5)
& interior(sK5,X2) = X2 )
| ( interior(X1,X3) != X3
& open_subset(X3,X1) ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(sK5))) )
& top_str(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,sK5)
& interior(sK5,X2) = X2 )
| ( interior(sK6,X3) != X3
& open_subset(X3,sK6) ) )
& element(X3,powerset(the_carrier(sK6))) )
& element(X2,powerset(the_carrier(sK5))) )
& top_str(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ open_subset(X2,sK5)
& interior(sK5,X2) = X2 )
| ( interior(sK6,X3) != X3
& open_subset(X3,sK6) ) )
& element(X3,powerset(the_carrier(sK6))) )
& element(X2,powerset(the_carrier(sK5))) )
=> ( ? [X3] :
( ( ( ~ open_subset(sK7,sK5)
& sK7 = interior(sK5,sK7) )
| ( interior(sK6,X3) != X3
& open_subset(X3,sK6) ) )
& element(X3,powerset(the_carrier(sK6))) )
& element(sK7,powerset(the_carrier(sK5))) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X3] :
( ( ( ~ open_subset(sK7,sK5)
& sK7 = interior(sK5,sK7) )
| ( interior(sK6,X3) != X3
& open_subset(X3,sK6) ) )
& element(X3,powerset(the_carrier(sK6))) )
=> ( ( ( ~ open_subset(sK7,sK5)
& sK7 = interior(sK5,sK7) )
| ( sK8 != interior(sK6,sK8)
& open_subset(sK8,sK6) ) )
& element(sK8,powerset(the_carrier(sK6))) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ( ( ~ open_subset(sK7,sK5)
& sK7 = interior(sK5,sK7) )
| ( sK8 != interior(sK6,sK8)
& open_subset(sK8,sK6) ) )
& element(sK8,powerset(the_carrier(sK6)))
& element(sK7,powerset(the_carrier(sK5)))
& top_str(sK6)
& top_str(sK5)
& topological_space(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f57,f72,f71,f70,f69]) ).
fof(f74,plain,
! [X0,X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f76,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f82,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f83,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f84,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f96,plain,
! [X0,X1] :
( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
topological_space(sK5),
inference(cnf_transformation,[],[f73]) ).
fof(f99,plain,
top_str(sK5),
inference(cnf_transformation,[],[f73]) ).
fof(f100,plain,
top_str(sK6),
inference(cnf_transformation,[],[f73]) ).
fof(f101,plain,
element(sK7,powerset(the_carrier(sK5))),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
element(sK8,powerset(the_carrier(sK6))),
inference(cnf_transformation,[],[f73]) ).
fof(f103,plain,
( sK7 = interior(sK5,sK7)
| open_subset(sK8,sK6) ),
inference(cnf_transformation,[],[f73]) ).
fof(f104,plain,
( sK7 = interior(sK5,sK7)
| sK8 != interior(sK6,sK8) ),
inference(cnf_transformation,[],[f73]) ).
fof(f105,plain,
( ~ open_subset(sK7,sK5)
| open_subset(sK8,sK6) ),
inference(cnf_transformation,[],[f73]) ).
fof(f106,plain,
( ~ open_subset(sK7,sK5)
| sK8 != interior(sK6,sK8) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_49,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X0))) = interior(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_51,plain,
( ~ element(X0,powerset(X1))
| element(subset_complement(X1,X0),powerset(X1)) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_57,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| closed_subset(subset_complement(the_carrier(X1),X0),X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_58,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| open_subset(interior(X1,X0),X1) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_59,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_69,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ open_subset(X0,X1)
| ~ top_str(X1)
| closed_subset(subset_complement(the_carrier(X1),X0),X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_72,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ closed_subset(X0,X1)
| ~ top_str(X1)
| topstr_closure(X1,X0) = X0 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_73,negated_conjecture,
( interior(sK6,sK8) != sK8
| ~ open_subset(sK7,sK5) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_74,negated_conjecture,
( ~ open_subset(sK7,sK5)
| open_subset(sK8,sK6) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_75,negated_conjecture,
( interior(sK6,sK8) != sK8
| interior(sK5,sK7) = sK7 ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_76,negated_conjecture,
( interior(sK5,sK7) = sK7
| open_subset(sK8,sK6) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_77,negated_conjecture,
element(sK8,powerset(the_carrier(sK6))),
inference(cnf_transformation,[],[f102]) ).
cnf(c_78,negated_conjecture,
element(sK7,powerset(the_carrier(sK5))),
inference(cnf_transformation,[],[f101]) ).
cnf(c_79,negated_conjecture,
top_str(sK6),
inference(cnf_transformation,[],[f100]) ).
cnf(c_80,negated_conjecture,
top_str(sK5),
inference(cnf_transformation,[],[f99]) ).
cnf(c_81,negated_conjecture,
topological_space(sK5),
inference(cnf_transformation,[],[f98]) ).
cnf(c_105,plain,
( ~ top_str(X1)
| ~ open_subset(X0,X1)
| ~ element(X0,powerset(the_carrier(X1)))
| closed_subset(subset_complement(the_carrier(X1),X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_69]) ).
cnf(c_106,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ open_subset(X0,X1)
| ~ top_str(X1)
| closed_subset(subset_complement(the_carrier(X1),X0),X1) ),
inference(renaming,[status(thm)],[c_105]) ).
cnf(c_501,plain,
( X0 != sK5
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| open_subset(interior(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_58,c_81]) ).
cnf(c_502,plain,
( ~ element(X0,powerset(the_carrier(sK5)))
| ~ top_str(sK5)
| open_subset(interior(sK5,X0),sK5) ),
inference(unflattening,[status(thm)],[c_501]) ).
cnf(c_504,plain,
( ~ element(X0,powerset(the_carrier(sK5)))
| open_subset(interior(sK5,X0),sK5) ),
inference(global_subsumption_just,[status(thm)],[c_502,c_80,c_502]) ).
cnf(c_644,plain,
( X0 != sK6
| ~ element(X1,powerset(the_carrier(X0)))
| ~ closed_subset(X1,X0)
| topstr_closure(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_72,c_79]) ).
cnf(c_645,plain,
( ~ element(X0,powerset(the_carrier(sK6)))
| ~ closed_subset(X0,sK6)
| topstr_closure(sK6,X0) = X0 ),
inference(unflattening,[status(thm)],[c_644]) ).
cnf(c_656,plain,
( X0 != sK6
| ~ element(X1,powerset(the_carrier(X0)))
| ~ open_subset(X1,X0)
| closed_subset(subset_complement(the_carrier(X0),X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_106,c_79]) ).
cnf(c_657,plain,
( ~ element(X0,powerset(the_carrier(sK6)))
| ~ open_subset(X0,sK6)
| closed_subset(subset_complement(the_carrier(sK6),X0),sK6) ),
inference(unflattening,[status(thm)],[c_656]) ).
cnf(c_686,plain,
( X0 != sK6
| ~ element(X1,powerset(the_carrier(X0)))
| subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) = interior(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_49,c_79]) ).
cnf(c_687,plain,
( ~ element(X0,powerset(the_carrier(sK6)))
| subset_complement(the_carrier(sK6),topstr_closure(sK6,subset_complement(the_carrier(sK6),X0))) = interior(sK6,X0) ),
inference(unflattening,[status(thm)],[c_686]) ).
cnf(c_2240,plain,
subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),sK8)) = sK8,
inference(superposition,[status(thm)],[c_77,c_59]) ).
cnf(c_2259,plain,
open_subset(interior(sK5,sK7),sK5),
inference(superposition,[status(thm)],[c_78,c_504]) ).
cnf(c_2406,plain,
( ~ closed_subset(subset_complement(the_carrier(sK6),X0),sK6)
| ~ element(X0,powerset(the_carrier(sK6)))
| topstr_closure(sK6,subset_complement(the_carrier(sK6),X0)) = subset_complement(the_carrier(sK6),X0) ),
inference(superposition,[status(thm)],[c_51,c_645]) ).
cnf(c_2579,plain,
subset_complement(the_carrier(sK6),topstr_closure(sK6,subset_complement(the_carrier(sK6),sK8))) = interior(sK6,sK8),
inference(superposition,[status(thm)],[c_77,c_687]) ).
cnf(c_5761,plain,
( ~ element(X0,powerset(the_carrier(sK6)))
| ~ open_subset(X0,sK6)
| topstr_closure(sK6,subset_complement(the_carrier(sK6),X0)) = subset_complement(the_carrier(sK6),X0) ),
inference(superposition,[status(thm)],[c_657,c_2406]) ).
cnf(c_5885,plain,
( ~ open_subset(sK8,sK6)
| topstr_closure(sK6,subset_complement(the_carrier(sK6),sK8)) = subset_complement(the_carrier(sK6),sK8) ),
inference(superposition,[status(thm)],[c_77,c_5761]) ).
cnf(c_5962,plain,
( topstr_closure(sK6,subset_complement(the_carrier(sK6),sK8)) = subset_complement(the_carrier(sK6),sK8)
| interior(sK5,sK7) = sK7 ),
inference(superposition,[status(thm)],[c_76,c_5885]) ).
cnf(c_5971,plain,
( subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),sK8)) = interior(sK6,sK8)
| interior(sK5,sK7) = sK7 ),
inference(superposition,[status(thm)],[c_5962,c_2579]) ).
cnf(c_5972,plain,
( interior(sK5,sK7) = sK7
| interior(sK6,sK8) = sK8 ),
inference(light_normalisation,[status(thm)],[c_5971,c_2240]) ).
cnf(c_5995,plain,
interior(sK5,sK7) = sK7,
inference(global_subsumption_just,[status(thm)],[c_5972,c_75,c_5972]) ).
cnf(c_6007,plain,
open_subset(sK7,sK5),
inference(demodulation,[status(thm)],[c_2259,c_5995]) ).
cnf(c_6009,plain,
open_subset(sK8,sK6),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_6007]) ).
cnf(c_6010,plain,
interior(sK6,sK8) != sK8,
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_6007]) ).
cnf(c_6011,plain,
topstr_closure(sK6,subset_complement(the_carrier(sK6),sK8)) = subset_complement(the_carrier(sK6),sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_5885,c_6009]) ).
cnf(c_6012,plain,
subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),sK8)) = interior(sK6,sK8),
inference(demodulation,[status(thm)],[c_2579,c_6011]) ).
cnf(c_6013,plain,
interior(sK6,sK8) = sK8,
inference(light_normalisation,[status(thm)],[c_6012,c_2240]) ).
cnf(c_6020,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6010,c_6013]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n027.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 : Wed Aug 23 15:24:32 EDT 2023
% 0.12/0.33 % 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.91/1.14 % SZS status Started for theBenchmark.p
% 3.91/1.14 % SZS status Theorem for theBenchmark.p
% 3.91/1.14
% 3.91/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.91/1.14
% 3.91/1.14 ------ iProver source info
% 3.91/1.14
% 3.91/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.91/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.91/1.14 git: non_committed_changes: false
% 3.91/1.14 git: last_make_outside_of_git: false
% 3.91/1.14
% 3.91/1.14 ------ Parsing...
% 3.91/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.91/1.14
% 3.91/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e
% 3.91/1.14
% 3.91/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.91/1.14
% 3.91/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.91/1.14 ------ Proving...
% 3.91/1.14 ------ Problem Properties
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14 clauses 39
% 3.91/1.14 conjectures 6
% 3.91/1.14 EPR 1
% 3.91/1.14 Horn 38
% 3.91/1.14 unary 11
% 3.91/1.14 binary 17
% 3.91/1.14 lits 78
% 3.91/1.14 lits eq 12
% 3.91/1.14 fd_pure 0
% 3.91/1.14 fd_pseudo 0
% 3.91/1.14 fd_cond 0
% 3.91/1.14 fd_pseudo_cond 0
% 3.91/1.14 AC symbols 0
% 3.91/1.14
% 3.91/1.14 ------ Schedule dynamic 5 is on
% 3.91/1.14
% 3.91/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14 ------
% 3.91/1.14 Current options:
% 3.91/1.14 ------
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14 ------ Proving...
% 3.91/1.14
% 3.91/1.14
% 3.91/1.14 % SZS status Theorem for theBenchmark.p
% 3.91/1.14
% 3.91/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.14
% 3.91/1.15
%------------------------------------------------------------------------------