TSTP Solution File: SEU337+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU337+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 : Fri May 3 03:05:51 EDT 2024
% Result : Theorem 17.41s 3.22s
% Output : CNFRefutation 17.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> open_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tops_2) ).
fof(f18,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( closed_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> closed_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tops_2) ).
fof(f19,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(f22,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(f23,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f30,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f31,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f33,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(f34,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f36,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f39,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_tops_2) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f41,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f42,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f43,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f44,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(f46,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f47,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f48,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f86,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f87,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f88,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f89,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ( open_subsets(X1,X0)
<~> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f92,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f94,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f95,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f96,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,[],[f44]) ).
fof(f98,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f99,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f101,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ? [X2] :
( ~ open_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ? [X2] :
( ~ open_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(rectify,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( ~ open_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) )
=> ( ~ open_subset(sK0(X0,X1),X0)
& in(sK0(X0,X1),X1)
& element(sK0(X0,X1),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( ( open_subsets(X1,X0)
| ( ~ open_subset(sK0(X0,X1),X0)
& in(sK0(X0,X1),X1)
& element(sK0(X0,X1),powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ open_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f105,f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) )
=> ( ~ closed_subset(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1)
& element(sK1(X0,X1),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subsets(X1,X0)
| ( ~ closed_subset(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1)
& element(sK1(X0,X1),powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ closed_subsets(X1,X0) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f109,f110]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(nnf_transformation,[],[f85]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) )
=> ( ( ~ in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| in(sK2(X0,X1,X2),X2) )
& element(sK2(X0,X1,X2),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ( ( ~ in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(subset_complement(X0,sK2(X0,X1,X2)),X1)
| in(sK2(X0,X1,X2),X2) )
& element(sK2(X0,X1,X2),powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f114,f115]) ).
fof(f119,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] : element(sK4(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f30,f119]) ).
fof(f123,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ( ~ empty(sK6(X0))
& element(sK6(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f90,f123]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ open_subsets(X1,X0) )
& ( closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| open_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f91]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ open_subsets(X1,X0) )
& ( closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| open_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
( ? [X0] :
( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| ~ open_subsets(X1,X0) )
& ( closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0)
| open_subsets(X1,X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) )
=> ( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),X1),sK8)
| ~ open_subsets(X1,sK8) )
& ( closed_subsets(complements_of_subsets(the_carrier(sK8),X1),sK8)
| open_subsets(X1,sK8) )
& element(X1,powerset(powerset(the_carrier(sK8)))) )
& top_str(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X1] :
( ( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),X1),sK8)
| ~ open_subsets(X1,sK8) )
& ( closed_subsets(complements_of_subsets(the_carrier(sK8),X1),sK8)
| open_subsets(X1,sK8) )
& element(X1,powerset(powerset(the_carrier(sK8)))) )
=> ( ( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) )
& ( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_subsets(sK9,sK8) )
& element(sK9,powerset(powerset(the_carrier(sK8)))) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) )
& ( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_subsets(sK9,sK8) )
& element(sK9,powerset(powerset(the_carrier(sK8))))
& top_str(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f128,f130,f129]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f133,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,[],[f96]) ).
fof(f159,plain,
! [X3,X0,X1] :
( open_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0)))
| ~ open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f161,plain,
! [X0,X1] :
( open_subsets(X1,X0)
| in(sK0(X0,X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f162,plain,
! [X0,X1] :
( open_subsets(X1,X0)
| ~ open_subset(sK0(X0,X1),X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f163,plain,
! [X3,X0,X1] :
( closed_subset(X3,X0)
| ~ in(X3,X1)
| ~ element(X3,powerset(the_carrier(X0)))
| ~ closed_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f164,plain,
! [X0,X1] :
( closed_subsets(X1,X0)
| element(sK1(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f165,plain,
! [X0,X1] :
( closed_subsets(X1,X0)
| in(sK1(X0,X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f166,plain,
! [X0,X1] :
( closed_subsets(X1,X0)
| ~ closed_subset(sK1(X0,X1),X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f167,plain,
! [X2,X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2)
| ~ element(X4,powerset(X0))
| complements_of_subsets(X0,X1) != X2
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f116]) ).
fof(f172,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f173,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f175,plain,
! [X0] : element(sK4(X0),X0),
inference(cnf_transformation,[],[f120]) ).
fof(f176,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f183,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f184,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f191,plain,
! [X0] :
( element(sK6(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f192,plain,
! [X0] :
( ~ empty(sK6(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f196,plain,
top_str(sK8),
inference(cnf_transformation,[],[f131]) ).
fof(f197,plain,
element(sK9,powerset(powerset(the_carrier(sK8)))),
inference(cnf_transformation,[],[f131]) ).
fof(f198,plain,
( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f199,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f200,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f202,plain,
! [X0,X1] :
( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f203,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f205,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(cnf_transformation,[],[f133]) ).
fof(f207,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f209,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f213,plain,
! [X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,complements_of_subsets(X0,X1))
| ~ element(X4,powerset(X0))
| ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(equality_resolution,[],[f167]) ).
cnf(c_74,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ open_subset(sK0(X1,X0),X1)
| ~ top_str(X1)
| open_subsets(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_75,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| in(sK0(X1,X0),X0)
| open_subsets(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_77,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X2,X0)
| ~ open_subsets(X0,X1)
| ~ top_str(X1)
| open_subset(X2,X1) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_78,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ closed_subset(sK1(X1,X0),X1)
| ~ top_str(X1)
| closed_subsets(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_79,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| in(sK1(X1,X0),X0)
| closed_subsets(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_80,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| element(sK1(X1,X0),powerset(the_carrier(X1)))
| closed_subsets(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_81,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X2,X0)
| ~ closed_subsets(X0,X1)
| ~ top_str(X1)
| closed_subset(X2,X1) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_86,plain,
( ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ in(X2,complements_of_subsets(X0,X1))
| ~ element(X1,powerset(powerset(X0)))
| ~ element(X2,powerset(X0))
| in(subset_complement(X0,X2),X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_87,plain,
( ~ element(X0,powerset(X1))
| element(subset_complement(X1,X0),powerset(X1)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_88,plain,
( ~ element(X0,powerset(powerset(X1)))
| element(complements_of_subsets(X1,X0),powerset(powerset(X1))) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_90,plain,
element(sK4(X0),X0),
inference(cnf_transformation,[],[f175]) ).
cnf(c_91,plain,
~ empty(powerset(X0)),
inference(cnf_transformation,[],[f176]) ).
cnf(c_98,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_99,plain,
( ~ element(X0,powerset(powerset(X1)))
| complements_of_subsets(X1,complements_of_subsets(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_106,plain,
( ~ empty(sK6(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_107,plain,
( element(sK6(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_111,negated_conjecture,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_112,negated_conjecture,
( closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| open_subsets(sK9,sK8) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_113,negated_conjecture,
element(sK9,powerset(powerset(the_carrier(sK8)))),
inference(cnf_transformation,[],[f197]) ).
cnf(c_114,negated_conjecture,
top_str(sK8),
inference(cnf_transformation,[],[f196]) ).
cnf(c_115,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_116,plain,
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_118,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_119,plain,
( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| open_subset(X1,X0) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_122,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_123,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_124,plain,
( ~ empty(X0)
| X0 = empty_set ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_175,plain,
( ~ open_subsets(sK9,sK8)
| ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8) ),
inference(prop_impl_just,[status(thm)],[c_111]) ).
cnf(c_176,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subsets(sK9,sK8) ),
inference(renaming,[status(thm)],[c_175]) ).
cnf(c_233,plain,
( ~ element(X0,powerset(powerset(X1)))
| element(complements_of_subsets(X1,X0),powerset(powerset(X1))) ),
inference(prop_impl_just,[status(thm)],[c_88]) ).
cnf(c_488,plain,
( ~ in(X0,complements_of_subsets(X1,X2))
| ~ element(X2,powerset(powerset(X1)))
| ~ element(X0,powerset(X1))
| in(subset_complement(X1,X0),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_86,c_233]) ).
cnf(c_604,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,X0)
| ~ open_subsets(X0,X1)
| ~ top_str(X1)
| open_subset(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_122]) ).
cnf(c_605,plain,
( ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ in(X2,X0)
| ~ closed_subsets(X0,X1)
| ~ top_str(X1)
| closed_subset(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_122]) ).
cnf(c_1199,plain,
( X0 != sK9
| X1 != sK8
| ~ element(X0,powerset(powerset(the_carrier(X1))))
| ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subset(sK0(X1,X0),X1)
| ~ top_str(X1) ),
inference(resolution_lifted,[status(thm)],[c_74,c_176]) ).
cnf(c_1200,plain,
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subset(sK0(sK8,sK9),sK8)
| ~ top_str(sK8) ),
inference(unflattening,[status(thm)],[c_1199]) ).
cnf(c_1201,plain,
( ~ open_subset(sK0(sK8,sK9),sK8)
| ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8) ),
inference(global_subsumption_just,[status(thm)],[c_1200,c_114,c_113,c_1200]) ).
cnf(c_1202,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK8),sK9),sK8)
| ~ open_subset(sK0(sK8,sK9),sK8) ),
inference(renaming,[status(thm)],[c_1201]) ).
cnf(c_1913,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,X1)
| ~ closed_subsets(X1,X0)
| closed_subset(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_605,c_114]) ).
cnf(c_1914,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| ~ in(X1,X0)
| ~ closed_subsets(X0,sK8)
| closed_subset(X1,sK8) ),
inference(unflattening,[status(thm)],[c_1913]) ).
cnf(c_1927,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ in(X2,X1)
| ~ open_subsets(X1,X0)
| open_subset(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_604,c_114]) ).
cnf(c_1928,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| ~ in(X1,X0)
| ~ open_subsets(X0,sK8)
| open_subset(X1,sK8) ),
inference(unflattening,[status(thm)],[c_1927]) ).
cnf(c_1965,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| element(sK1(X0,X1),powerset(the_carrier(X0)))
| closed_subsets(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_80,c_114]) ).
cnf(c_1966,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| element(sK1(sK8,X0),powerset(the_carrier(sK8)))
| closed_subsets(X0,sK8) ),
inference(unflattening,[status(thm)],[c_1965]) ).
cnf(c_1977,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(sK1(X0,X1),X1)
| closed_subsets(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_79,c_114]) ).
cnf(c_1978,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(unflattening,[status(thm)],[c_1977]) ).
cnf(c_1989,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ closed_subset(sK1(X0,X1),X0)
| closed_subsets(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_78,c_114]) ).
cnf(c_1990,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| ~ closed_subset(sK1(sK8,X0),sK8)
| closed_subsets(X0,sK8) ),
inference(unflattening,[status(thm)],[c_1989]) ).
cnf(c_2013,plain,
( X0 != sK8
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(sK0(X0,X1),X1)
| open_subsets(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_75,c_114]) ).
cnf(c_2014,plain,
( ~ element(X0,powerset(powerset(the_carrier(sK8))))
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(unflattening,[status(thm)],[c_2013]) ).
cnf(c_2061,plain,
( X0 != sK8
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| open_subset(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_114,c_119]) ).
cnf(c_2062,plain,
( ~ closed_subset(subset_complement(the_carrier(sK8),X0),sK8)
| ~ element(X0,powerset(the_carrier(sK8)))
| open_subset(X0,sK8) ),
inference(unflattening,[status(thm)],[c_2061]) ).
cnf(c_2073,plain,
( X0 != sK8
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_114,c_116]) ).
cnf(c_2074,plain,
( ~ open_subset(subset_complement(the_carrier(sK8),X0),sK8)
| ~ element(X0,powerset(the_carrier(sK8)))
| closed_subset(X0,sK8) ),
inference(unflattening,[status(thm)],[c_2073]) ).
cnf(c_7572,plain,
the_carrier(sK8) = sP0_iProver_def,
definition ).
cnf(c_7573,plain,
powerset(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_7574,plain,
powerset(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_7575,plain,
complements_of_subsets(sP0_iProver_def,sK9) = sP3_iProver_def,
definition ).
cnf(c_7576,negated_conjecture,
element(sK9,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_113,c_7572,c_7573,c_7574]) ).
cnf(c_7577,negated_conjecture,
( open_subsets(sK9,sK8)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(demodulation,[status(thm)],[c_112,c_7575]) ).
cnf(c_7578,negated_conjecture,
( ~ open_subsets(sK9,sK8)
| ~ closed_subsets(sP3_iProver_def,sK8) ),
inference(demodulation,[status(thm)],[c_111]) ).
cnf(c_8738,plain,
( ~ element(X0,sP2_iProver_def)
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1978,c_7572,c_7573,c_7574]) ).
cnf(c_8745,plain,
( ~ element(X0,sP2_iProver_def)
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_2014,c_7572,c_7573,c_7574]) ).
cnf(c_8774,plain,
~ empty(sP1_iProver_def),
inference(superposition,[status(thm)],[c_7573,c_91]) ).
cnf(c_8968,plain,
( in(sK4(X0),X0)
| empty(X0) ),
inference(superposition,[status(thm)],[c_90,c_118]) ).
cnf(c_9150,plain,
( ~ element(X0,powerset(sP1_iProver_def))
| element(subset_complement(sP1_iProver_def,X0),sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_7574,c_87]) ).
cnf(c_9152,plain,
( ~ element(X0,sP2_iProver_def)
| element(subset_complement(sP1_iProver_def,X0),sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_9150,c_7574]) ).
cnf(c_9164,plain,
( ~ element(sK9,powerset(powerset(the_carrier(sK8))))
| ~ in(X0,sK9)
| ~ open_subsets(sK9,sK8)
| open_subset(X0,sK8) ),
inference(instantiation,[status(thm)],[c_1928]) ).
cnf(c_9180,plain,
( ~ in(X0,subset_complement(X1,X2))
| ~ element(X2,powerset(X1))
| element(X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_122]) ).
cnf(c_9182,plain,
( ~ in(X0,sK6(X1))
| element(X0,X1)
| empty(X1) ),
inference(superposition,[status(thm)],[c_107,c_122]) ).
cnf(c_9237,plain,
( ~ in(X0,subset_complement(X1,X2))
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(superposition,[status(thm)],[c_87,c_123]) ).
cnf(c_9246,plain,
( ~ in(X0,X1)
| ~ element(X1,sP1_iProver_def)
| ~ empty(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_7573,c_123]) ).
cnf(c_9388,plain,
( ~ element(sK9,powerset(powerset(sP0_iProver_def)))
| element(sP3_iProver_def,powerset(powerset(sP0_iProver_def))) ),
inference(superposition,[status(thm)],[c_7575,c_88]) ).
cnf(c_9392,plain,
( ~ in(X0,complements_of_subsets(X1,X2))
| ~ element(X2,powerset(powerset(X1)))
| element(X0,powerset(X1)) ),
inference(superposition,[status(thm)],[c_88,c_122]) ).
cnf(c_9394,plain,
( ~ element(sK9,sP2_iProver_def)
| element(sP3_iProver_def,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_9388,c_7573,c_7574]) ).
cnf(c_9395,plain,
element(sP3_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_9394,c_7576]) ).
cnf(c_9426,plain,
( ~ element(X0,sP2_iProver_def)
| subset_complement(sP1_iProver_def,subset_complement(sP1_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_7574,c_98]) ).
cnf(c_9522,plain,
( ~ element(X2,powerset(powerset(X1)))
| ~ in(X0,complements_of_subsets(X1,X2))
| in(subset_complement(X1,X0),X2) ),
inference(global_subsumption_just,[status(thm)],[c_488,c_488,c_9392]) ).
cnf(c_9523,plain,
( ~ in(X0,complements_of_subsets(X1,X2))
| ~ element(X2,powerset(powerset(X1)))
| in(subset_complement(X1,X0),X2) ),
inference(renaming,[status(thm)],[c_9522]) ).
cnf(c_10382,plain,
~ empty(sP1_iProver_def),
inference(superposition,[status(thm)],[c_7573,c_91]) ).
cnf(c_12635,plain,
( element(sK4(sK6(X0)),X0)
| empty(sK6(X0))
| empty(X0) ),
inference(superposition,[status(thm)],[c_8968,c_9182]) ).
cnf(c_14037,plain,
( ~ element(X0,sP1_iProver_def)
| ~ empty(sP0_iProver_def)
| empty(X0) ),
inference(superposition,[status(thm)],[c_8968,c_9246]) ).
cnf(c_14960,plain,
subset_complement(sP1_iProver_def,subset_complement(sP1_iProver_def,sK9)) = sK9,
inference(superposition,[status(thm)],[c_7576,c_9426]) ).
cnf(c_14967,plain,
subset_complement(sP1_iProver_def,subset_complement(sP1_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_9395,c_9426]) ).
cnf(c_16280,plain,
( element(sK4(sK6(X0)),X0)
| empty(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12635,c_106,c_12635]) ).
cnf(c_16293,plain,
( in(sK4(sK6(X0)),X0)
| empty(X0) ),
inference(superposition,[status(thm)],[c_16280,c_118]) ).
cnf(c_23000,plain,
( ~ element(subset_complement(X0,X1),sP2_iProver_def)
| ~ element(X1,powerset(X0))
| element(sK1(sK8,subset_complement(X0,X1)),X0)
| closed_subsets(subset_complement(X0,X1),sK8) ),
inference(superposition,[status(thm)],[c_8738,c_9180]) ).
cnf(c_23016,plain,
( ~ element(subset_complement(sP1_iProver_def,sK9),powerset(sP1_iProver_def))
| ~ in(X0,sK9)
| element(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_14960,c_9180]) ).
cnf(c_23025,plain,
( ~ element(subset_complement(sP1_iProver_def,sK9),sP2_iProver_def)
| ~ in(X0,sK9)
| element(X0,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_23016,c_7574]) ).
cnf(c_23255,plain,
( ~ element(X0,powerset(X1))
| ~ empty(X1)
| empty(subset_complement(X1,X0)) ),
inference(superposition,[status(thm)],[c_16293,c_9237]) ).
cnf(c_23643,plain,
( ~ in(X0,sK9)
| ~ element(sK9,sP2_iProver_def)
| element(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_9152,c_23025]) ).
cnf(c_23644,plain,
( ~ in(X0,sK9)
| element(X0,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23643,c_7576]) ).
cnf(c_23661,plain,
( ~ element(sK9,sP2_iProver_def)
| element(sK0(sK8,sK9),sP1_iProver_def)
| open_subsets(sK9,sK8) ),
inference(superposition,[status(thm)],[c_8745,c_23644]) ).
cnf(c_23671,plain,
( element(sK0(sK8,sK9),sP1_iProver_def)
| open_subsets(sK9,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23661,c_7576]) ).
cnf(c_23726,plain,
( ~ empty(sP0_iProver_def)
| empty(sK0(sK8,sK9))
| open_subsets(sK9,sK8) ),
inference(superposition,[status(thm)],[c_23671,c_14037]) ).
cnf(c_37602,plain,
( ~ element(subset_complement(sP1_iProver_def,subset_complement(sP1_iProver_def,sP3_iProver_def)),sP2_iProver_def)
| ~ element(subset_complement(sP1_iProver_def,sP3_iProver_def),powerset(sP1_iProver_def))
| closed_subsets(subset_complement(sP1_iProver_def,subset_complement(sP1_iProver_def,sP3_iProver_def)),sK8)
| element(sK1(sK8,sP3_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_14967,c_23000]) ).
cnf(c_37642,plain,
( ~ element(subset_complement(sP1_iProver_def,sP3_iProver_def),sP2_iProver_def)
| ~ element(sP3_iProver_def,sP2_iProver_def)
| element(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(light_normalisation,[status(thm)],[c_37602,c_7574,c_14967]) ).
cnf(c_37643,plain,
( ~ element(subset_complement(sP1_iProver_def,sP3_iProver_def),sP2_iProver_def)
| element(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37642,c_9395]) ).
cnf(c_38245,plain,
( ~ element(sP3_iProver_def,sP2_iProver_def)
| element(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(superposition,[status(thm)],[c_9152,c_37643]) ).
cnf(c_38246,plain,
( element(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38245,c_9395]) ).
cnf(c_38255,plain,
( in(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8)
| empty(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_38246,c_118]) ).
cnf(c_38263,plain,
( in(sK1(sK8,sP3_iProver_def),sP1_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38255,c_8774]) ).
cnf(c_38651,plain,
( ~ element(X0,sP2_iProver_def)
| in(sK1(sK8,X0),X0)
| closed_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1978,c_7572,c_7573,c_7574]) ).
cnf(c_38658,plain,
( ~ element(X0,sP2_iProver_def)
| in(sK0(sK8,X0),X0)
| open_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_2014,c_7572,c_7573,c_7574]) ).
cnf(c_38679,plain,
( ~ closed_subset(sK1(sK8,X0),sK8)
| ~ element(X0,sP2_iProver_def)
| closed_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1990,c_7572,c_7573,c_7574]) ).
cnf(c_38698,plain,
( ~ closed_subset(subset_complement(sP0_iProver_def,X0),sK8)
| ~ element(X0,sP1_iProver_def)
| open_subset(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_2062,c_7572,c_7573]) ).
cnf(c_38706,plain,
( ~ open_subset(subset_complement(sP0_iProver_def,X0),sK8)
| ~ element(X0,sP1_iProver_def)
| closed_subset(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_2074,c_7572,c_7573]) ).
cnf(c_38714,plain,
( ~ element(X0,sP2_iProver_def)
| element(sK1(sK8,X0),sP1_iProver_def)
| closed_subsets(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1966,c_7572,c_7573,c_7574]) ).
cnf(c_38728,plain,
( ~ in(X0,X1)
| ~ element(X1,sP2_iProver_def)
| ~ closed_subsets(X1,sK8)
| closed_subset(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1914,c_7572,c_7573,c_7574]) ).
cnf(c_38743,plain,
( ~ in(X0,X1)
| ~ element(X1,sP2_iProver_def)
| ~ open_subsets(X1,sK8)
| open_subset(X0,sK8) ),
inference(light_normalisation,[status(thm)],[c_1928,c_7572,c_7573,c_7574]) ).
cnf(c_39034,plain,
( ~ in(X0,X1)
| ~ element(X1,sP2_iProver_def)
| element(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_7574,c_122]) ).
cnf(c_39096,plain,
( ~ element(sK9,powerset(powerset(sP0_iProver_def)))
| element(sP3_iProver_def,powerset(powerset(sP0_iProver_def))) ),
inference(superposition,[status(thm)],[c_7575,c_88]) ).
cnf(c_39102,plain,
( ~ element(sK9,sP2_iProver_def)
| element(sP3_iProver_def,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_39096,c_7573,c_7574]) ).
cnf(c_39103,plain,
element(sP3_iProver_def,sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_39102,c_7576]) ).
cnf(c_39190,plain,
( ~ element(X0,sP1_iProver_def)
| subset_complement(sP0_iProver_def,subset_complement(sP0_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_7573,c_98]) ).
cnf(c_39220,plain,
( ~ element(X0,powerset(sP1_iProver_def))
| complements_of_subsets(sP0_iProver_def,complements_of_subsets(sP0_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_7573,c_99]) ).
cnf(c_39224,plain,
( ~ element(X0,sP2_iProver_def)
| complements_of_subsets(sP0_iProver_def,complements_of_subsets(sP0_iProver_def,X0)) = X0 ),
inference(light_normalisation,[status(thm)],[c_39220,c_7574]) ).
cnf(c_39238,plain,
( ~ element(X2,powerset(powerset(X1)))
| ~ in(X0,complements_of_subsets(X1,X2))
| in(subset_complement(X1,X0),X2) ),
inference(global_subsumption_just,[status(thm)],[c_488,c_9523]) ).
cnf(c_39239,plain,
( ~ in(X0,complements_of_subsets(X1,X2))
| ~ element(X2,powerset(powerset(X1)))
| in(subset_complement(X1,X0),X2) ),
inference(renaming,[status(thm)],[c_39238]) ).
cnf(c_39254,plain,
( ~ in(X0,complements_of_subsets(sP0_iProver_def,X1))
| ~ element(X1,powerset(sP1_iProver_def))
| in(subset_complement(sP0_iProver_def,X0),X1) ),
inference(superposition,[status(thm)],[c_7573,c_39239]) ).
cnf(c_39262,plain,
( ~ in(X0,complements_of_subsets(sP0_iProver_def,X1))
| ~ element(X1,sP2_iProver_def)
| in(subset_complement(sP0_iProver_def,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_39254,c_7574]) ).
cnf(c_40378,plain,
( ~ element(X0,sP2_iProver_def)
| subset_complement(sP0_iProver_def,subset_complement(sP0_iProver_def,sK1(sK8,X0))) = sK1(sK8,X0)
| closed_subsets(X0,sK8) ),
inference(superposition,[status(thm)],[c_38714,c_39190]) ).
cnf(c_40417,plain,
complements_of_subsets(sP0_iProver_def,complements_of_subsets(sP0_iProver_def,sK9)) = sK9,
inference(superposition,[status(thm)],[c_7576,c_39224]) ).
cnf(c_40424,plain,
complements_of_subsets(sP0_iProver_def,sP3_iProver_def) = sK9,
inference(light_normalisation,[status(thm)],[c_40417,c_7575]) ).
cnf(c_40737,plain,
( subset_complement(sP0_iProver_def,subset_complement(sP0_iProver_def,sK1(sK8,sP3_iProver_def))) = sK1(sK8,sP3_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(superposition,[status(thm)],[c_39103,c_40378]) ).
cnf(c_41195,plain,
( ~ in(X0,sP3_iProver_def)
| ~ element(sK9,sP2_iProver_def)
| in(subset_complement(sP0_iProver_def,X0),sK9) ),
inference(superposition,[status(thm)],[c_7575,c_39262]) ).
cnf(c_41197,plain,
( ~ in(X0,sK9)
| ~ element(sP3_iProver_def,sP2_iProver_def)
| in(subset_complement(sP0_iProver_def,X0),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_40424,c_39262]) ).
cnf(c_41198,plain,
( ~ in(X0,sK9)
| in(subset_complement(sP0_iProver_def,X0),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41197,c_39103]) ).
cnf(c_41201,plain,
( ~ in(X0,sP3_iProver_def)
| in(subset_complement(sP0_iProver_def,X0),sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41195,c_7576]) ).
cnf(c_41271,plain,
( ~ in(X0,sP3_iProver_def)
| ~ element(sK9,sP2_iProver_def)
| ~ open_subsets(sK9,sK8)
| open_subset(subset_complement(sP0_iProver_def,X0),sK8) ),
inference(superposition,[status(thm)],[c_41201,c_38743]) ).
cnf(c_41298,plain,
( ~ in(X0,sP3_iProver_def)
| ~ open_subsets(sK9,sK8)
| open_subset(subset_complement(sP0_iProver_def,X0),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41271,c_7576]) ).
cnf(c_41358,plain,
( ~ in(X0,sP3_iProver_def)
| ~ element(X0,sP1_iProver_def)
| ~ open_subsets(sK9,sK8)
| closed_subset(X0,sK8) ),
inference(superposition,[status(thm)],[c_41298,c_38706]) ).
cnf(c_41423,plain,
( ~ in(X0,sK9)
| ~ element(sP3_iProver_def,sP2_iProver_def)
| element(subset_complement(sP0_iProver_def,X0),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_41198,c_39034]) ).
cnf(c_41429,plain,
( ~ in(X0,sK9)
| ~ element(sP3_iProver_def,sP2_iProver_def)
| ~ closed_subsets(sP3_iProver_def,sK8)
| closed_subset(subset_complement(sP0_iProver_def,X0),sK8) ),
inference(superposition,[status(thm)],[c_41198,c_38728]) ).
cnf(c_41447,plain,
( ~ in(X0,sK9)
| element(subset_complement(sP0_iProver_def,X0),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41423,c_39103]) ).
cnf(c_41450,plain,
( ~ in(X0,sK9)
| ~ closed_subsets(sP3_iProver_def,sK8)
| closed_subset(subset_complement(sP0_iProver_def,X0),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41429,c_39103]) ).
cnf(c_41680,plain,
( ~ in(X0,sK9)
| in(subset_complement(sP0_iProver_def,X0),sP1_iProver_def)
| empty(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_41447,c_118]) ).
cnf(c_41682,plain,
( ~ in(X0,sK9)
| in(subset_complement(sP0_iProver_def,X0),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41680,c_10382]) ).
cnf(c_42284,plain,
( ~ in(X0,sK9)
| ~ element(X0,sP1_iProver_def)
| ~ closed_subsets(sP3_iProver_def,sK8)
| open_subset(X0,sK8) ),
inference(superposition,[status(thm)],[c_41450,c_38698]) ).
cnf(c_59755,plain,
( ~ empty(X0)
| empty(subset_complement(X0,sK4(powerset(X0)))) ),
inference(superposition,[status(thm)],[c_90,c_23255]) ).
cnf(c_61706,plain,
( ~ empty(X0)
| subset_complement(X0,sK4(powerset(X0))) = empty_set ),
inference(superposition,[status(thm)],[c_59755,c_124]) ).
cnf(c_64882,plain,
( ~ empty(sP0_iProver_def)
| subset_complement(sK0(sK8,sK9),sK4(powerset(sK0(sK8,sK9)))) = empty_set
| open_subsets(sK9,sK8) ),
inference(superposition,[status(thm)],[c_23726,c_61706]) ).
cnf(c_66011,plain,
( ~ in(X0,sK9)
| open_subset(X0,sK8) ),
inference(global_subsumption_just,[status(thm)],[c_42284,c_113,c_7577,c_9164,c_23644,c_42284]) ).
cnf(c_66021,plain,
( ~ element(sK9,sP2_iProver_def)
| open_subset(sK0(sK8,sK9),sK8)
| open_subsets(sK9,sK8) ),
inference(superposition,[status(thm)],[c_38658,c_66011]) ).
cnf(c_66032,plain,
( open_subset(sK0(sK8,sK9),sK8)
| open_subsets(sK9,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66021,c_7576]) ).
cnf(c_68228,plain,
open_subsets(sK9,sK8),
inference(global_subsumption_just,[status(thm)],[c_64882,c_112,c_1202,c_66032]) ).
cnf(c_70402,plain,
open_subsets(sK9,sK8),
inference(global_subsumption_just,[status(thm)],[c_66032,c_68228]) ).
cnf(c_70405,plain,
( ~ in(X0,sP3_iProver_def)
| ~ element(X0,sP1_iProver_def)
| closed_subset(X0,sK8) ),
inference(backward_subsumption_resolution,[status(thm)],[c_41358,c_70402]) ).
cnf(c_70409,plain,
~ closed_subsets(sP3_iProver_def,sK8),
inference(backward_subsumption_resolution,[status(thm)],[c_7578,c_70402]) ).
cnf(c_70419,plain,
subset_complement(sP0_iProver_def,subset_complement(sP0_iProver_def,sK1(sK8,sP3_iProver_def))) = sK1(sK8,sP3_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_40737,c_70409]) ).
cnf(c_72162,plain,
( ~ in(subset_complement(sP0_iProver_def,sK1(sK8,sP3_iProver_def)),sK9)
| in(sK1(sK8,sP3_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_70419,c_41682]) ).
cnf(c_74016,plain,
in(sK1(sK8,sP3_iProver_def),sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_72162,c_7578,c_38263,c_68228]) ).
cnf(c_74023,plain,
element(sK1(sK8,sP3_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_74016,c_115]) ).
cnf(c_74492,plain,
( ~ in(sK1(sK8,sP3_iProver_def),sP3_iProver_def)
| closed_subset(sK1(sK8,sP3_iProver_def),sK8) ),
inference(superposition,[status(thm)],[c_74023,c_70405]) ).
cnf(c_75512,plain,
( ~ element(sP3_iProver_def,sP2_iProver_def)
| closed_subset(sK1(sK8,sP3_iProver_def),sK8)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(superposition,[status(thm)],[c_38651,c_74492]) ).
cnf(c_75513,plain,
closed_subset(sK1(sK8,sP3_iProver_def),sK8),
inference(forward_subsumption_resolution,[status(thm)],[c_75512,c_70409,c_39103]) ).
cnf(c_75514,plain,
( ~ element(sP3_iProver_def,sP2_iProver_def)
| closed_subsets(sP3_iProver_def,sK8) ),
inference(superposition,[status(thm)],[c_75513,c_38679]) ).
cnf(c_75515,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_75514,c_70409,c_39103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU337+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 18:21:35 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 17.41/3.22 % SZS status Started for theBenchmark.p
% 17.41/3.22 % SZS status Theorem for theBenchmark.p
% 17.41/3.22
% 17.41/3.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.41/3.22
% 17.41/3.22 ------ iProver source info
% 17.41/3.22
% 17.41/3.22 git: date: 2024-05-02 19:28:25 +0000
% 17.41/3.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.41/3.22 git: non_committed_changes: false
% 17.41/3.22
% 17.41/3.22 ------ Parsing...
% 17.41/3.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.41/3.22
% 17.41/3.22 ------ Preprocessing... sup_sim: 0 sf_s rm: 40 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e
% 17.41/3.22
% 17.41/3.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.41/3.22
% 17.41/3.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.41/3.22 ------ Proving...
% 17.41/3.22 ------ Problem Properties
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22 clauses 57
% 17.41/3.22 conjectures 3
% 17.41/3.22 EPR 11
% 17.41/3.22 Horn 44
% 17.41/3.22 unary 12
% 17.41/3.22 binary 12
% 17.41/3.22 lits 146
% 17.41/3.22 lits eq 11
% 17.41/3.22 fd_pure 0
% 17.41/3.22 fd_pseudo 0
% 17.41/3.22 fd_cond 1
% 17.41/3.22 fd_pseudo_cond 4
% 17.41/3.22 AC symbols 0
% 17.41/3.22
% 17.41/3.22 ------ Schedule dynamic 5 is on
% 17.41/3.22
% 17.41/3.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22 ------
% 17.41/3.22 Current options:
% 17.41/3.22 ------
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22 ------ Proving...
% 17.41/3.22
% 17.41/3.22
% 17.41/3.22 % SZS status Theorem for theBenchmark.p
% 17.41/3.22
% 17.41/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.41/3.22
% 17.41/3.22
%------------------------------------------------------------------------------