TSTP Solution File: SEU314+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 17:05:43 EDT 2023
% Result : Theorem 3.76s 1.17s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 15
% Syntax : Number of formulae : 253 ( 18 unt; 0 def)
% Number of atoms : 1294 ( 301 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 1566 ( 525 ~; 745 |; 269 &)
% ( 7 <=>; 18 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 440 ( 0 sgn; 164 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e1_40__pre_topc__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f23,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f30,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( ? [X6] :
( subset(X1,X4)
& closed_subset(X6,X0)
& X4 = X6
& element(X6,powerset(the_carrier(X0))) )
& X2 = X4
& ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X3 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& X3 = X4
& in(X4,powerset(the_carrier(X0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e1_40__pre_topc__1) ).
fof(f32,plain,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2,X3,X4] :
( ( ? [X5] :
( subset(X1,X4)
& closed_subset(X5,X0)
& X4 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X4
& ? [X6] :
( subset(X1,X3)
& closed_subset(X6,X0)
& X3 = X6
& element(X6,powerset(the_carrier(X0))) )
& X2 = X3 )
=> X3 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& closed_subset(X10,X0)
& X8 = X10
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) ) ) ),
inference(rectify,[],[f30]) ).
fof(f49,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f50,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( in(X3,X2)
<~> ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f49]) ).
fof(f62,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& closed_subset(X10,X0)
& X8 = X10
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X1,X4)
& closed_subset(X5,X0)
& X4 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X4
& ? [X6] :
( subset(X1,X3)
& closed_subset(X6,X0)
& X3 = X6
& element(X6,powerset(the_carrier(X0))) )
& X2 = X3 )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& closed_subset(X10,X0)
& X8 = X10
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X1,X4)
& closed_subset(X5,X0)
& X4 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X4
& ? [X6] :
( subset(X1,X3)
& closed_subset(X6,X0)
& X3 = X6
& element(X6,powerset(the_carrier(X0))) )
& X2 = X3 )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X3,X1,X0] :
( ? [X6] :
( subset(X1,X3)
& closed_subset(X6,X0)
& X3 = X6
& element(X6,powerset(the_carrier(X0))) )
| ~ sP0(X3,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f68,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X1,X4)
& closed_subset(X5,X0)
& X4 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X4
& sP0(X3,X1,X0)
& X2 = X3 )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( ? [X10] :
( subset(X1,X8)
& closed_subset(X10,X0)
& X8 = X10
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) ) )
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(definition_folding,[],[f66,f68,f67]) ).
fof(f70,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f71,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( ? [X4] :
( subset(X1,X3)
& closed_subset(X4,X0)
& X3 = X4
& element(X4,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
( ? [X0,X1] :
( ! [X2] :
? [X3] :
( ( ! [X4] :
( ~ subset(X1,X3)
| ~ closed_subset(X4,X0)
| X3 != X4
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,powerset(the_carrier(X0)))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( subset(X1,X3)
& closed_subset(X5,X0)
& X3 = X5
& element(X5,powerset(the_carrier(X0))) )
& in(X3,powerset(the_carrier(X0))) )
| in(X3,X2) ) )
& element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> ( ! [X2] :
? [X3] :
( ( ! [X4] :
( ~ subset(sK3,X3)
| ~ closed_subset(X4,sK2)
| X3 != X4
| ~ element(X4,powerset(the_carrier(sK2))) )
| ~ in(X3,powerset(the_carrier(sK2)))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( subset(sK3,X3)
& closed_subset(X5,sK2)
& X3 = X5
& element(X5,powerset(the_carrier(sK2))) )
& in(X3,powerset(the_carrier(sK2))) )
| in(X3,X2) ) )
& element(sK3,powerset(the_carrier(sK2)))
& top_str(sK2)
& topological_space(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X2] :
( ? [X3] :
( ( ! [X4] :
( ~ subset(sK3,X3)
| ~ closed_subset(X4,sK2)
| X3 != X4
| ~ element(X4,powerset(the_carrier(sK2))) )
| ~ in(X3,powerset(the_carrier(sK2)))
| ~ in(X3,X2) )
& ( ( ? [X5] :
( subset(sK3,X3)
& closed_subset(X5,sK2)
& X3 = X5
& element(X5,powerset(the_carrier(sK2))) )
& in(X3,powerset(the_carrier(sK2))) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ subset(sK3,sK4(X2))
| ~ closed_subset(X4,sK2)
| sK4(X2) != X4
| ~ element(X4,powerset(the_carrier(sK2))) )
| ~ in(sK4(X2),powerset(the_carrier(sK2)))
| ~ in(sK4(X2),X2) )
& ( ( ? [X5] :
( subset(sK3,sK4(X2))
& closed_subset(X5,sK2)
& sK4(X2) = X5
& element(X5,powerset(the_carrier(sK2))) )
& in(sK4(X2),powerset(the_carrier(sK2))) )
| in(sK4(X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X2] :
( ? [X5] :
( subset(sK3,sK4(X2))
& closed_subset(X5,sK2)
& sK4(X2) = X5
& element(X5,powerset(the_carrier(sK2))) )
=> ( subset(sK3,sK4(X2))
& closed_subset(sK5(X2),sK2)
& sK4(X2) = sK5(X2)
& element(sK5(X2),powerset(the_carrier(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ! [X2] :
( ( ! [X4] :
( ~ subset(sK3,sK4(X2))
| ~ closed_subset(X4,sK2)
| sK4(X2) != X4
| ~ element(X4,powerset(the_carrier(sK2))) )
| ~ in(sK4(X2),powerset(the_carrier(sK2)))
| ~ in(sK4(X2),X2) )
& ( ( subset(sK3,sK4(X2))
& closed_subset(sK5(X2),sK2)
& sK4(X2) = sK5(X2)
& element(sK5(X2),powerset(the_carrier(sK2)))
& in(sK4(X2),powerset(the_carrier(sK2))) )
| in(sK4(X2),X2) ) )
& element(sK3,powerset(the_carrier(sK2)))
& top_str(sK2)
& topological_space(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f72,f75,f74,f73]) ).
fof(f85,plain,
! [X1,X0] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X1,X4)
& closed_subset(X5,X0)
& X4 = X5
& element(X5,powerset(the_carrier(X0))) )
& X2 = X4
& sP0(X3,X1,X0)
& X2 = X3 )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X0,X4)
& closed_subset(X5,X1)
& X4 = X5
& element(X5,powerset(the_carrier(X1))) )
& X2 = X4
& sP0(X3,X0,X1)
& X2 = X3 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( X3 != X4
& ? [X5] :
( subset(X0,X4)
& closed_subset(X5,X1)
& X4 = X5
& element(X5,powerset(the_carrier(X1))) )
& X2 = X4
& sP0(X3,X0,X1)
& X2 = X3 )
=> ( sK11(X0,X1) != sK12(X0,X1)
& ? [X5] :
( subset(X0,sK12(X0,X1))
& closed_subset(X5,X1)
& sK12(X0,X1) = X5
& element(X5,powerset(the_carrier(X1))) )
& sK10(X0,X1) = sK12(X0,X1)
& sP0(sK11(X0,X1),X0,X1)
& sK10(X0,X1) = sK11(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ? [X5] :
( subset(X0,sK12(X0,X1))
& closed_subset(X5,X1)
& sK12(X0,X1) = X5
& element(X5,powerset(the_carrier(X1))) )
=> ( subset(X0,sK12(X0,X1))
& closed_subset(sK13(X0,X1),X1)
& sK12(X0,X1) = sK13(X0,X1)
& element(sK13(X0,X1),powerset(the_carrier(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( sK11(X0,X1) != sK12(X0,X1)
& subset(X0,sK12(X0,X1))
& closed_subset(sK13(X0,X1),X1)
& sK12(X0,X1) = sK13(X0,X1)
& element(sK13(X0,X1),powerset(the_carrier(X1)))
& sK10(X0,X1) = sK12(X0,X1)
& sP0(sK11(X0,X1),X0,X1)
& sK10(X0,X1) = sK11(X0,X1) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f86,f88,f87]) ).
fof(f90,plain,
! [X3,X1,X0] :
( ? [X6] :
( subset(X1,X3)
& closed_subset(X6,X0)
& X3 = X6
& element(X6,powerset(the_carrier(X0))) )
| ~ sP0(X3,X1,X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X3] :
( subset(X1,X0)
& closed_subset(X3,X2)
& X0 = X3
& element(X3,powerset(the_carrier(X2))) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X3] :
( subset(X1,X0)
& closed_subset(X3,X2)
& X0 = X3
& element(X3,powerset(the_carrier(X2))) )
=> ( subset(X1,X0)
& closed_subset(sK14(X0,X1,X2),X2)
& sK14(X0,X1,X2) = X0
& element(sK14(X0,X1,X2),powerset(the_carrier(X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( subset(X1,X0)
& closed_subset(sK14(X0,X1,X2),X2)
& sK14(X0,X1,X2) = X0
& element(sK14(X0,X1,X2),powerset(the_carrier(X2))) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f91,f92]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( ( in(X8,X7)
| ! [X9] :
( ! [X10] :
( ~ subset(X1,X8)
| ~ closed_subset(X10,X0)
| X8 != X10
| ~ element(X10,powerset(the_carrier(X0))) )
| X8 != X9
| ~ in(X9,powerset(the_carrier(X0))) ) )
& ( ? [X9] :
( ? [X10] :
( subset(X1,X8)
& closed_subset(X10,X0)
& X8 = X10
& element(X10,powerset(the_carrier(X0))) )
& X8 = X9
& in(X9,powerset(the_carrier(X0))) )
| ~ in(X8,X7) ) )
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f69]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| ~ closed_subset(X5,X0)
| X3 != X5
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| ~ closed_subset(X5,X0)
| X3 != X5
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
=> ! [X3] :
( ( in(X3,sK15(X0,X1))
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| ~ closed_subset(X5,X0)
| X3 != X5
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
| ~ in(X3,sK15(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1,X3] :
( ? [X6] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& X3 = X6
& in(X6,powerset(the_carrier(X0))) )
=> ( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
& sK16(X0,X1,X3) = X3
& in(sK16(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1,X3] :
( ? [X7] :
( subset(X1,X3)
& closed_subset(X7,X0)
& X3 = X7
& element(X7,powerset(the_carrier(X0))) )
=> ( subset(X1,X3)
& closed_subset(sK17(X0,X1,X3),X0)
& sK17(X0,X1,X3) = X3
& element(sK17(X0,X1,X3),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X3] :
( ( in(X3,sK15(X0,X1))
| ! [X4] :
( ! [X5] :
( ~ subset(X1,X3)
| ~ closed_subset(X5,X0)
| X3 != X5
| ~ element(X5,powerset(the_carrier(X0))) )
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0))) ) )
& ( ( subset(X1,X3)
& closed_subset(sK17(X0,X1,X3),X0)
& sK17(X0,X1,X3) = X3
& element(sK17(X0,X1,X3),powerset(the_carrier(X0)))
& sK16(X0,X1,X3) = X3
& in(sK16(X0,X1,X3),powerset(the_carrier(X0))) )
| ~ in(X3,sK15(X0,X1)) ) )
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f95,f98,f97,f96]) ).
fof(f100,plain,
topological_space(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f101,plain,
top_str(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f102,plain,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f76]) ).
fof(f103,plain,
! [X2] :
( in(sK4(X2),powerset(the_carrier(sK2)))
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f104,plain,
! [X2] :
( element(sK5(X2),powerset(the_carrier(sK2)))
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f105,plain,
! [X2] :
( sK4(X2) = sK5(X2)
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f106,plain,
! [X2] :
( closed_subset(sK5(X2),sK2)
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f107,plain,
! [X2] :
( subset(sK3,sK4(X2))
| in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f108,plain,
! [X2,X4] :
( ~ subset(sK3,sK4(X2))
| ~ closed_subset(X4,sK2)
| sK4(X2) != X4
| ~ element(X4,powerset(the_carrier(sK2)))
| ~ in(sK4(X2),powerset(the_carrier(sK2)))
| ~ in(sK4(X2),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f144,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f148,plain,
! [X0,X1] :
( sK10(X0,X1) = sK11(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f149,plain,
! [X0,X1] :
( sP0(sK11(X0,X1),X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f150,plain,
! [X0,X1] :
( sK10(X0,X1) = sK12(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f152,plain,
! [X0,X1] :
( sK12(X0,X1) = sK13(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f155,plain,
! [X0,X1] :
( sK11(X0,X1) != sK12(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f156,plain,
! [X2,X0,X1] :
( element(sK14(X0,X1,X2),powerset(the_carrier(X2)))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f157,plain,
! [X2,X0,X1] :
( sK14(X0,X1,X2) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f158,plain,
! [X2,X0,X1] :
( closed_subset(sK14(X0,X1,X2),X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f160,plain,
! [X3,X0,X1] :
( in(sK16(X0,X1,X3),powerset(the_carrier(X0)))
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,plain,
! [X3,X0,X1] :
( sK16(X0,X1,X3) = X3
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f162,plain,
! [X3,X0,X1] :
( element(sK17(X0,X1,X3),powerset(the_carrier(X0)))
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f163,plain,
! [X3,X0,X1] :
( sK17(X0,X1,X3) = X3
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f164,plain,
! [X3,X0,X1] :
( closed_subset(sK17(X0,X1,X3),X0)
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
! [X3,X0,X1] :
( subset(X1,X3)
| ~ in(X3,sK15(X0,X1))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f166,plain,
! [X3,X0,X1,X4,X5] :
( in(X3,sK15(X0,X1))
| ~ subset(X1,X3)
| ~ closed_subset(X5,X0)
| X3 != X5
| ~ element(X5,powerset(the_carrier(X0)))
| X3 != X4
| ~ in(X4,powerset(the_carrier(X0)))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f167,plain,
! [X2] :
( ~ subset(sK3,sK4(X2))
| ~ closed_subset(sK4(X2),sK2)
| ~ element(sK4(X2),powerset(the_carrier(sK2)))
| ~ in(sK4(X2),powerset(the_carrier(sK2)))
| ~ in(sK4(X2),X2) ),
inference(equality_resolution,[],[f108]) ).
fof(f168,plain,
! [X0,X1,X4,X5] :
( in(X5,sK15(X0,X1))
| ~ subset(X1,X5)
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0)))
| X4 != X5
| ~ in(X4,powerset(the_carrier(X0)))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(equality_resolution,[],[f166]) ).
fof(f169,plain,
! [X0,X1,X5] :
( in(X5,sK15(X0,X1))
| ~ subset(X1,X5)
| ~ closed_subset(X5,X0)
| ~ element(X5,powerset(the_carrier(X0)))
| ~ in(X5,powerset(the_carrier(X0)))
| sP1(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(equality_resolution,[],[f168]) ).
cnf(c_49,negated_conjecture,
( ~ element(sK4(X0),powerset(the_carrier(sK2)))
| ~ in(sK4(X0),powerset(the_carrier(sK2)))
| ~ in(sK4(X0),X0)
| ~ subset(sK3,sK4(X0))
| ~ closed_subset(sK4(X0),sK2) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_50,negated_conjecture,
( in(sK4(X0),X0)
| subset(sK3,sK4(X0)) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_51,negated_conjecture,
( in(sK4(X0),X0)
| closed_subset(sK5(X0),sK2) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_52,negated_conjecture,
( sK4(X0) = sK5(X0)
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_53,negated_conjecture,
( element(sK5(X0),powerset(the_carrier(sK2)))
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_54,negated_conjecture,
( in(sK4(X0),powerset(the_carrier(sK2)))
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_55,negated_conjecture,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f102]) ).
cnf(c_56,negated_conjecture,
top_str(sK2),
inference(cnf_transformation,[],[f101]) ).
cnf(c_57,negated_conjecture,
topological_space(sK2),
inference(cnf_transformation,[],[f100]) ).
cnf(c_93,plain,
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_97,plain,
( sK11(X0,X1) != sK12(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_100,plain,
( ~ sP1(X0,X1)
| sK12(X0,X1) = sK13(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_102,plain,
( ~ sP1(X0,X1)
| sK12(X0,X1) = sK10(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_103,plain,
( ~ sP1(X0,X1)
| sP0(sK11(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_104,plain,
( ~ sP1(X0,X1)
| sK11(X0,X1) = sK10(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_106,plain,
( ~ sP0(X0,X1,X2)
| closed_subset(sK14(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_107,plain,
( ~ sP0(X0,X1,X2)
| sK14(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_108,plain,
( ~ sP0(X0,X1,X2)
| element(sK14(X0,X1,X2),powerset(the_carrier(X2))) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_109,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X2,powerset(the_carrier(X1)))
| ~ subset(X0,X2)
| ~ closed_subset(X2,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X2,sK15(X1,X0))
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_110,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| subset(X2,X0)
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_111,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| closed_subset(sK17(X1,X2,X0),X1)
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_112,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| sK17(X1,X2,X0) = X0
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_113,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| element(sK17(X1,X2,X0),powerset(the_carrier(X1)))
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_114,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| sK16(X1,X2,X0) = X0
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_115,plain,
( ~ in(X0,sK15(X1,X2))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(sK16(X1,X2,X0),powerset(the_carrier(X1)))
| sP1(X2,X1) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_841,plain,
( sK11(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ sP1(X0,X1)
| element(sK14(X2,X3,X4),powerset(the_carrier(X4))) ),
inference(resolution_lifted,[status(thm)],[c_103,c_108]) ).
cnf(c_842,plain,
( ~ sP1(X0,X1)
| element(sK14(sK11(X0,X1),X0,X1),powerset(the_carrier(X1))) ),
inference(unflattening,[status(thm)],[c_841]) ).
cnf(c_850,plain,
( sK11(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ sP1(X0,X1)
| sK14(X2,X3,X4) = X2 ),
inference(resolution_lifted,[status(thm)],[c_103,c_107]) ).
cnf(c_851,plain,
( ~ sP1(X0,X1)
| sK14(sK11(X0,X1),X0,X1) = sK11(X0,X1) ),
inference(unflattening,[status(thm)],[c_850]) ).
cnf(c_859,plain,
( sK11(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ sP1(X0,X1)
| closed_subset(sK14(X2,X3,X4),X4) ),
inference(resolution_lifted,[status(thm)],[c_103,c_106]) ).
cnf(c_860,plain,
( ~ sP1(X0,X1)
| closed_subset(sK14(sK11(X0,X1),X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_859]) ).
cnf(c_885,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| in(sK16(X0,X2,X1),powerset(the_carrier(X0)))
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_115]) ).
cnf(c_886,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| in(sK16(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_885]) ).
cnf(c_888,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| in(sK16(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_886,c_57,c_886]) ).
cnf(c_889,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| in(sK16(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_888]) ).
cnf(c_903,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| sK16(X0,X2,X1) = X1
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_114]) ).
cnf(c_904,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| sK16(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_903]) ).
cnf(c_906,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| sK16(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_904,c_57,c_904]) ).
cnf(c_907,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| sK16(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_906]) ).
cnf(c_921,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| element(sK17(X0,X2,X1),powerset(the_carrier(X0)))
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_113]) ).
cnf(c_922,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| element(sK17(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_921]) ).
cnf(c_924,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| element(sK17(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_922,c_57,c_922]) ).
cnf(c_925,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| element(sK17(sK2,X1,X0),powerset(the_carrier(sK2)))
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_924]) ).
cnf(c_939,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| sK17(X0,X2,X1) = X1
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_112]) ).
cnf(c_940,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| sK17(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_939]) ).
cnf(c_942,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| sK17(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_940,c_57,c_940]) ).
cnf(c_943,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| sK17(sK2,X1,X0) = X0
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_942]) ).
cnf(c_957,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| closed_subset(sK17(X0,X2,X1),X0)
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_111]) ).
cnf(c_958,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| closed_subset(sK17(sK2,X1,X0),sK2)
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_957]) ).
cnf(c_960,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| closed_subset(sK17(sK2,X1,X0),sK2)
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_958,c_57,c_958]) ).
cnf(c_961,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| closed_subset(sK17(sK2,X1,X0),sK2)
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_960]) ).
cnf(c_975,plain,
( X0 != sK2
| ~ in(X1,sK15(X0,X2))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| subset(X2,X1)
| sP1(X2,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_110]) ).
cnf(c_976,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ topological_space(sK2)
| subset(X1,X0)
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_975]) ).
cnf(c_977,plain,
( ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X0,sK15(sK2,X1))
| subset(X1,X0)
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_976,c_57,c_976]) ).
cnf(c_978,plain,
( ~ in(X0,sK15(sK2,X1))
| ~ element(X1,powerset(the_carrier(sK2)))
| subset(X1,X0)
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_977]) ).
cnf(c_991,plain,
( X0 != sK2
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X2,powerset(the_carrier(X0)))
| ~ subset(X1,X2)
| ~ closed_subset(X2,X0)
| ~ topological_space(X0)
| in(X2,sK15(X0,X1))
| sP1(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_109]) ).
cnf(c_992,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X1,powerset(the_carrier(sK2)))
| ~ subset(X0,X1)
| ~ closed_subset(X1,sK2)
| ~ topological_space(sK2)
| in(X1,sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(unflattening,[status(thm)],[c_991]) ).
cnf(c_994,plain,
( ~ closed_subset(X1,sK2)
| ~ subset(X0,X1)
| ~ in(X1,powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(X1,sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_992,c_57,c_992]) ).
cnf(c_995,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(X1,powerset(the_carrier(sK2)))
| ~ subset(X0,X1)
| ~ closed_subset(X1,sK2)
| in(X1,sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(renaming,[status(thm)],[c_994]) ).
cnf(c_1425,plain,
( sK5(X0) != X1
| sK2 != sK2
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ element(X2,powerset(the_carrier(sK2)))
| ~ in(X1,powerset(the_carrier(sK2)))
| ~ subset(X2,X1)
| in(X1,sK15(sK2,X2))
| in(sK4(X0),X0)
| sP1(X2,sK2) ),
inference(resolution_lifted,[status(thm)],[c_51,c_995]) ).
cnf(c_1426,plain,
( ~ element(sK5(X0),powerset(the_carrier(sK2)))
| ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(unflattening,[status(thm)],[c_1425]) ).
cnf(c_1428,plain,
( ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_1426,c_53,c_1426]) ).
cnf(c_5568,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_6181,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| element(sK5(sK15(sK2,X0)),powerset(the_carrier(sK2)))
| subset(X0,sK4(sK15(sK2,X0)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_53,c_978]) ).
cnf(c_6184,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| subset(X0,sK4(sK15(sK2,X0)))
| subset(sK3,sK4(sK15(sK2,X0)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_978]) ).
cnf(c_6266,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK3,sK2) ),
inference(equality_factoring,[status(thm)],[c_6184]) ).
cnf(c_6268,plain,
( subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6266,c_55]) ).
cnf(c_6285,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK16(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| sK4(sK15(sK2,X0)) = sK5(sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_907]) ).
cnf(c_6322,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK17(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| element(sK5(sK15(sK2,X0)),powerset(the_carrier(sK2)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_53,c_943]) ).
cnf(c_6323,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK17(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| sK4(sK15(sK2,X0)) = sK5(sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_943]) ).
cnf(c_6359,plain,
( ~ in(powerset(the_carrier(sK2)),sK16(sK2,X0,X1))
| ~ in(X1,sK15(sK2,X0))
| ~ element(X0,powerset(the_carrier(sK2)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_889,c_93]) ).
cnf(c_6516,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_55,c_6285]) ).
cnf(c_6596,plain,
( ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| ~ closed_subset(sK5(X0),sK2)
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(superposition,[status(thm)],[c_53,c_995]) ).
cnf(c_6597,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ subset(X0,sK3)
| ~ closed_subset(sK3,sK2)
| in(sK3,sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_55,c_995]) ).
cnf(c_6707,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_6516,c_851]) ).
cnf(c_6710,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2) ),
inference(superposition,[status(thm)],[c_6516,c_100]) ).
cnf(c_6745,plain,
( ~ subset(sK14(sK11(X0,sK2),X0,sK2),sK3)
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ sP1(X0,sK2)
| ~ closed_subset(sK3,sK2)
| in(sK3,sK15(sK2,sK14(sK11(X0,sK2),X0,sK2)))
| sP1(sK14(sK11(X0,sK2),X0,sK2),sK2) ),
inference(superposition,[status(thm)],[c_842,c_6597]) ).
cnf(c_6749,plain,
( ~ subset(sK5(sK15(sK2,X0)),sK3)
| ~ element(X0,powerset(the_carrier(sK2)))
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ closed_subset(sK3,sK2)
| in(sK3,sK15(sK2,sK5(sK15(sK2,X0))))
| subset(X0,sK4(sK15(sK2,X0)))
| sP1(sK5(sK15(sK2,X0)),sK2)
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_6181,c_6597]) ).
cnf(c_6838,plain,
( ~ in(X0,sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK17(sK2,sK3,X0) = X0
| sP1(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_943]) ).
cnf(c_7014,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_55,c_6323]) ).
cnf(c_7101,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_7014,c_851]) ).
cnf(c_7104,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7014,c_100]) ).
cnf(c_7167,plain,
( ~ subset(X1,sK5(X0))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(sK5(X0),powerset(the_carrier(sK2)))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_6596,c_1428]) ).
cnf(c_7168,plain,
( ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_7167]) ).
cnf(c_7181,plain,
( ~ sP1(sK3,sK2)
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_851]) ).
cnf(c_7184,plain,
( ~ sP1(sK3,sK2)
| sK11(sK3,sK2) = sK10(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_7185,plain,
( ~ sP1(sK3,sK2)
| sK12(sK3,sK2) = sK10(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_7186,plain,
( ~ sP1(sK3,sK2)
| sK12(sK3,sK2) = sK13(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_7187,plain,
( sK11(sK3,sK2) != sK12(sK3,sK2)
| ~ sP1(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7262,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_6707,c_889]) ).
cnf(c_7264,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7262,c_55]) ).
cnf(c_7500,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_6710,c_889]) ).
cnf(c_7501,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ in(powerset(the_carrier(sK2)),sK4(sK15(sK2,sK3)))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_6710,c_6359]) ).
cnf(c_7502,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7500,c_55]) ).
cnf(c_7508,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ in(powerset(the_carrier(sK2)),sK4(sK15(sK2,sK3)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7501,c_55]) ).
cnf(c_7615,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_7616,plain,
( in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7626,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7104,c_925]) ).
cnf(c_7627,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7104,c_961]) ).
cnf(c_7628,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7627,c_55]) ).
cnf(c_7634,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7626,c_55]) ).
cnf(c_7789,plain,
( closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK12(sK3,sK2) = sK13(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_7628,c_7186,c_7615,c_7628]) ).
cnf(c_7790,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(renaming,[status(thm)],[c_7789]) ).
cnf(c_7801,plain,
( in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_7502,c_7186,c_7502,c_7616]) ).
cnf(c_7802,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(renaming,[status(thm)],[c_7801]) ).
cnf(c_7845,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| subset(X0,sK4(sK15(sK2,X0)))
| subset(sK3,sK4(sK15(sK2,X0)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_978]) ).
cnf(c_7986,plain,
( element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_7634,c_7186,c_7615,c_7634]) ).
cnf(c_7987,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2)
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(renaming,[status(thm)],[c_7986]) ).
cnf(c_7994,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7987,c_49]) ).
cnf(c_8031,plain,
( sK12(sK3,sK2) = sK13(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_7508,c_6268,c_7186,c_7615,c_7790,c_7802,c_7994]) ).
cnf(c_8032,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK12(sK3,sK2) = sK13(sK3,sK2) ),
inference(renaming,[status(thm)],[c_8031]) ).
cnf(c_8211,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK3,sK2) ),
inference(equality_factoring,[status(thm)],[c_7845]) ).
cnf(c_8213,plain,
( subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8211,c_55]) ).
cnf(c_8228,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK16(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| in(sK4(sK15(sK2,X0)),powerset(the_carrier(sK2)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_54,c_907]) ).
cnf(c_8230,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK16(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| sK4(sK15(sK2,X0)) = sK5(sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_907]) ).
cnf(c_8259,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7101,c_925]) ).
cnf(c_8260,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_7101,c_961]) ).
cnf(c_8261,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8260,c_55]) ).
cnf(c_8267,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8259,c_55]) ).
cnf(c_8445,plain,
( closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_8261,c_7181,c_7615,c_8261]) ).
cnf(c_8446,plain,
( sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(renaming,[status(thm)],[c_8445]) ).
cnf(c_8453,plain,
( element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_8267,c_7181,c_7615,c_8267]) ).
cnf(c_8454,plain,
( sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(renaming,[status(thm)],[c_8453]) ).
cnf(c_8461,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_8454,c_49]) ).
cnf(c_8507,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK17(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| element(sK5(sK15(sK2,X0)),powerset(the_carrier(sK2)))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_53,c_943]) ).
cnf(c_8508,plain,
( ~ element(X0,powerset(the_carrier(sK2)))
| sK17(sK2,X0,sK4(sK15(sK2,X0))) = sK4(sK15(sK2,X0))
| sK4(sK15(sK2,X0)) = sK5(sK15(sK2,X0))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_52,c_943]) ).
cnf(c_8555,plain,
( ~ element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9201,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_55,c_8230]) ).
cnf(c_9630,plain,
( sK11(sK3,sK2) != X0
| sK12(sK3,sK2) != X0
| sK11(sK3,sK2) = sK12(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_5568]) ).
cnf(c_9775,plain,
( ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| ~ closed_subset(sK5(X0),sK2)
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(superposition,[status(thm)],[c_53,c_995]) ).
cnf(c_10076,plain,
( sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_8461,c_6268,c_7181,c_7264,c_7615,c_8446,c_8461]) ).
cnf(c_10514,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_9201,c_851]) ).
cnf(c_11812,plain,
( ~ subset(sK14(sK11(sK3,sK2),sK3,sK2),sK3)
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ closed_subset(sK3,sK2)
| ~ sP1(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sP1(sK14(sK11(sK3,sK2),sK3,sK2),sK2)
| in(sK3,sK15(sK2,sK11(sK3,sK2))) ),
inference(superposition,[status(thm)],[c_10076,c_6745]) ).
cnf(c_11964,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_55,c_8508]) ).
cnf(c_12915,plain,
( ~ subset(sK5(sK15(sK2,sK3)),sK3)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ closed_subset(sK3,sK2)
| sK12(sK3,sK2) = sK13(sK3,sK2)
| in(sK3,sK15(sK2,sK4(sK15(sK2,sK3))))
| subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK5(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_8032,c_6749]) ).
cnf(c_12928,plain,
( ~ subset(sK5(sK15(sK2,sK3)),sK3)
| ~ in(sK3,powerset(the_carrier(sK2)))
| ~ closed_subset(sK3,sK2)
| sK12(sK3,sK2) = sK13(sK3,sK2)
| in(sK3,sK15(sK2,sK4(sK15(sK2,sK3))))
| subset(sK3,sK4(sK15(sK2,sK3)))
| sP1(sK5(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12915,c_55]) ).
cnf(c_13072,plain,
( sK11(sK3,sK2) != sK10(sK3,sK2)
| sK12(sK3,sK2) != sK10(sK3,sK2)
| sK11(sK3,sK2) = sK12(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_9630]) ).
cnf(c_13165,plain,
( ~ subset(X1,sK5(X0))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ in(sK5(X0),powerset(the_carrier(sK2)))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_9775,c_51,c_6596]) ).
cnf(c_13166,plain,
( ~ in(sK5(X0),powerset(the_carrier(sK2)))
| ~ element(X1,powerset(the_carrier(sK2)))
| ~ subset(X1,sK5(X0))
| in(sK5(X0),sK15(sK2,X1))
| in(sK4(X0),X0)
| sP1(X1,sK2) ),
inference(renaming,[status(thm)],[c_13165]) ).
cnf(c_13215,plain,
subset(sK3,sK4(sK15(sK2,sK3))),
inference(global_subsumption_just,[status(thm)],[c_12928,c_6268,c_7187,c_7185,c_7184,c_13072]) ).
cnf(c_13576,plain,
( sK14(sK11(sK3,sK2),sK3,sK2) = sK11(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_10514,c_10076]) ).
cnf(c_13583,plain,
( ~ sP1(sK3,sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK11(sK3,sK2),sK2) ),
inference(superposition,[status(thm)],[c_13576,c_860]) ).
cnf(c_13705,plain,
~ sP1(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_13583,c_7187,c_7185,c_7184,c_13072]) ).
cnf(c_13707,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11964,c_13705]) ).
cnf(c_13709,plain,
( sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9201,c_13705]) ).
cnf(c_13710,plain,
subset(sK3,sK4(sK15(sK2,sK3))),
inference(backward_subsumption_resolution,[status(thm)],[c_8213,c_13705]) ).
cnf(c_13736,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_13707,c_925]) ).
cnf(c_13737,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_13707,c_961]) ).
cnf(c_13738,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13737,c_13705,c_55]) ).
cnf(c_13742,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13736,c_13705,c_55]) ).
cnf(c_13746,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_13738,c_7615,c_13738]) ).
cnf(c_13752,plain,
( sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(global_subsumption_just,[status(thm)],[c_13742,c_7615,c_13742]) ).
cnf(c_13758,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_13752,c_49]) ).
cnf(c_13769,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13758,c_13710]) ).
cnf(c_13871,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_13709,c_889]) ).
cnf(c_13873,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3))
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13871,c_13705,c_55]) ).
cnf(c_14094,plain,
sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_13873,c_7615,c_13746,c_13769,c_13873]) ).
cnf(c_14101,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ subset(X0,sK5(sK15(sK2,sK3)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(sK5(sK15(sK2,sK3)),sK15(sK2,X0))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_14094,c_13166]) ).
cnf(c_14106,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_14094,c_8507]) ).
cnf(c_14125,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14106,c_13705,c_55]) ).
cnf(c_14142,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ subset(X0,sK4(sK15(sK2,sK3)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,X0))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(X0,sK2) ),
inference(light_normalisation,[status(thm)],[c_14101,c_14094]) ).
cnf(c_14320,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_6838]) ).
cnf(c_14977,plain,
sK4(sK15(sK2,sK3)) = sK5(sK15(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_11812,c_7615,c_13746,c_13769,c_13873]) ).
cnf(c_15060,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ subset(X0,sK5(sK15(sK2,sK3)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(sK5(sK15(sK2,sK3)),sK15(sK2,X0))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(X0,sK2) ),
inference(superposition,[status(thm)],[c_14977,c_7168]) ).
cnf(c_15067,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_14977,c_6322]) ).
cnf(c_15089,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15067,c_55]) ).
cnf(c_15107,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ subset(X0,sK4(sK15(sK2,sK3)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,X0))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(X0,sK2) ),
inference(light_normalisation,[status(thm)],[c_15060,c_14977]) ).
cnf(c_15249,plain,
( element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_15089,c_14125]) ).
cnf(c_15250,plain,
( sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(renaming,[status(thm)],[c_15249]) ).
cnf(c_15255,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_15250,c_49]) ).
cnf(c_15266,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15255,c_13215]) ).
cnf(c_15369,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_15266,c_55,c_7187,c_7185,c_7184,c_13072,c_14320]) ).
cnf(c_15707,plain,
( ~ subset(X0,sK4(sK15(sK2,sK3)))
| ~ element(X0,powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,X0))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(X0,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_15107,c_7616,c_14142]) ).
cnf(c_15732,plain,
( ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ element(sK3,powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(equality_factoring,[status(thm)],[c_15707]) ).
cnf(c_15734,plain,
( in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15732,c_55,c_13215]) ).
cnf(c_15782,plain,
sK17(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_14125,c_13705,c_15369,c_15734]) ).
cnf(c_15784,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_15782,c_925]) ).
cnf(c_15785,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| closed_subset(sK4(sK15(sK2,sK3)),sK2)
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_15782,c_961]) ).
cnf(c_15786,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15785,c_13705,c_55]) ).
cnf(c_15789,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15784,c_13705,c_55]) ).
cnf(c_15792,plain,
closed_subset(sK4(sK15(sK2,sK3)),sK2),
inference(global_subsumption_just,[status(thm)],[c_15786,c_7187,c_7185,c_7184,c_13072,c_15734,c_15786]) ).
cnf(c_15794,plain,
element(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))),
inference(global_subsumption_just,[status(thm)],[c_15789,c_13705,c_15734,c_15789]) ).
cnf(c_15796,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ subset(sK3,sK4(sK15(sK2,sK3)))
| ~ closed_subset(sK4(sK15(sK2,sK3)),sK2) ),
inference(superposition,[status(thm)],[c_15794,c_49]) ).
cnf(c_15806,plain,
( ~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15796,c_15792,c_13710]) ).
cnf(c_15824,plain,
~ in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2))),
inference(global_subsumption_just,[status(thm)],[c_15806,c_8555,c_13215,c_13705,c_15734,c_15786,c_15789]) ).
cnf(c_15826,plain,
in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3)),
inference(superposition,[status(thm)],[c_54,c_15824]) ).
cnf(c_15828,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_8228,c_15824]) ).
cnf(c_15830,plain,
sK16(sK2,sK3,sK4(sK15(sK2,sK3))) = sK4(sK15(sK2,sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_15828,c_13705,c_55]) ).
cnf(c_15835,plain,
( ~ in(sK4(sK15(sK2,sK3)),sK15(sK2,sK3))
| ~ element(sK3,powerset(the_carrier(sK2)))
| in(sK4(sK15(sK2,sK3)),powerset(the_carrier(sK2)))
| sP1(sK3,sK2) ),
inference(superposition,[status(thm)],[c_15830,c_889]) ).
cnf(c_15837,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15835,c_13705,c_15824,c_55,c_15826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU314+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n013.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 Aug 24 01:11:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.76/1.17 % SZS status Started for theBenchmark.p
% 3.76/1.17 % SZS status Theorem for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.76/1.17
% 3.76/1.17 ------ iProver source info
% 3.76/1.17
% 3.76/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.76/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.76/1.17 git: non_committed_changes: false
% 3.76/1.17 git: last_make_outside_of_git: false
% 3.76/1.17
% 3.76/1.17 ------ Parsing...
% 3.76/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.17 ------ Proving...
% 3.76/1.17 ------ Problem Properties
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 clauses 35
% 3.76/1.17 conjectures 7
% 3.76/1.17 EPR 3
% 3.76/1.17 Horn 22
% 3.76/1.17 unary 8
% 3.76/1.17 binary 19
% 3.76/1.17 lits 82
% 3.76/1.17 lits eq 8
% 3.76/1.17 fd_pure 0
% 3.76/1.17 fd_pseudo 0
% 3.76/1.17 fd_cond 0
% 3.76/1.17 fd_pseudo_cond 0
% 3.76/1.17 AC symbols 0
% 3.76/1.17
% 3.76/1.17 ------ Schedule dynamic 5 is on
% 3.76/1.17
% 3.76/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 ------
% 3.76/1.17 Current options:
% 3.76/1.17 ------
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 ------ Proving...
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 % SZS status Theorem for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.17
% 3.76/1.17
%------------------------------------------------------------------------------