TSTP Solution File: SEU061+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU061+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 17:03:35 EDT 2023
% Result : Theorem 109.60s 15.37s
% Output : CNFRefutation 109.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 183 ( 25 unt; 0 def)
% Number of atoms : 608 ( 151 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 731 ( 306 ~; 323 |; 67 &)
% ( 14 <=>; 20 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 353 ( 8 sgn; 217 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f7,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f16,axiom,
! [X0] : ~ empty(singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f18,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f19,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f20,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f31,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f32,conjecture,
! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( in(X0,relation_rng(X1))
<=> empty_set != relation_inverse_image(X1,singleton(X0)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f39,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f42,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f31]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f50,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f56,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f59,plain,
? [X0,X1] :
( ( in(X0,relation_rng(X1))
<~> empty_set != relation_inverse_image(X1,singleton(X0)) )
& relation(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f61,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f67,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f53]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK0(X0,X1,X2),X5),X0) )
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(sK0(X0,X1,X2),X5),X0) )
=> ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1,X6] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) )
=> ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(X6,sK2(X0,X1,X6)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),X4),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X1)
& in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( ( in(sK2(X0,X1,X6),X1)
& in(ordered_pair(X6,sK2(X0,X1,X6)),X0) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f71,f74,f73,f72]) ).
fof(f76,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f77,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK3(X0,X1) != X0
| ~ in(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f77,f78]) ).
fof(f80,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f81,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ( empty_set = X0
| in(sK4(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f81,f82]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK5(X0,X1)),X0)
=> in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK7(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK5(X0,X1)),X0)
| ~ in(sK5(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK5(X0,X1)),X0)
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f85,f88,f87,f86]) ).
fof(f112,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( empty_set != relation_inverse_image(X1,singleton(X0))
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(nnf_transformation,[],[f59]) ).
fof(f113,plain,
? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( empty_set != relation_inverse_image(X1,singleton(X0))
| in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
( ? [X0,X1] :
( ( empty_set = relation_inverse_image(X1,singleton(X0))
| ~ in(X0,relation_rng(X1)) )
& ( empty_set != relation_inverse_image(X1,singleton(X0))
| in(X0,relation_rng(X1)) )
& relation(X1) )
=> ( ( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) )
& ( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) )
& relation(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) )
& ( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) )
& relation(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f113,f114]) ).
fof(f118,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f122,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(X6,sK2(X0,X1,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f124,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f125,plain,
! [X2,X0,X1] :
( relation_inverse_image(X0,X1) = X2
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f126,plain,
! [X2,X0,X1] :
( relation_inverse_image(X0,X1) = X2
| in(sK1(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f128,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f129,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f130,plain,
! [X0,X1] :
( singleton(X0) = X1
| sK3(X0,X1) = X0
| in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
! [X0] :
( empty_set = X0
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK7(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f135,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f138,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f145,plain,
! [X0] : ~ empty(singleton(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f147,plain,
empty(empty_set),
inference(cnf_transformation,[],[f18]) ).
fof(f149,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f150,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f170,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f171,plain,
relation(sK20),
inference(cnf_transformation,[],[f115]) ).
fof(f172,plain,
( empty_set != relation_inverse_image(sK20,singleton(sK19))
| in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f173,plain,
( empty_set = relation_inverse_image(sK20,singleton(sK19))
| ~ in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f175,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f177,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f179,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f180,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f183,plain,
! [X2,X0,X1] :
( relation_inverse_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X0)
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f125,f138]) ).
fof(f184,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f124,f138]) ).
fof(f185,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f122,f138]) ).
fof(f188,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f135,f138]) ).
fof(f189,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK7(X0,X5),X5),singleton(sK7(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f134,f138]) ).
fof(f191,plain,
! [X0,X1,X6,X7] :
( in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f184]) ).
fof(f193,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(X6,sK2(X0,X1,X6)),singleton(X6)),X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f194,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f129]) ).
fof(f195,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f194]) ).
fof(f196,plain,
! [X3,X0] :
( X0 = X3
| ~ in(X3,singleton(X0)) ),
inference(equality_resolution,[],[f128]) ).
fof(f198,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f188]) ).
fof(f199,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK7(X0,X5),X5),singleton(sK7(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f189]) ).
cnf(c_51,plain,
( ~ empty(X0)
| relation(X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_54,plain,
( ~ relation(X0)
| relation_inverse_image(X0,X1) = X2
| in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_55,plain,
( ~ relation(X0)
| relation_inverse_image(X0,X1) = X2
| in(unordered_pair(unordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),singleton(sK0(X0,X1,X2))),X0)
| in(sK0(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_56,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X1,X3)
| ~ relation(X2)
| in(X0,relation_inverse_image(X2,X3)) ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_58,plain,
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X0,sK2(X1,X2,X0)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_60,plain,
( sK3(X0,X1) = X0
| singleton(X0) = X1
| in(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_61,plain,
in(X0,singleton(X0)),
inference(cnf_transformation,[],[f195]) ).
cnf(c_62,plain,
( ~ in(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_63,plain,
( X0 = empty_set
| in(sK4(X0),X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_67,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_68,plain,
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(unordered_pair(unordered_pair(sK7(X1,X0),X0),singleton(sK7(X1,X0))),X1) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_75,plain,
~ empty(singleton(X0)),
inference(cnf_transformation,[],[f145]) ).
cnf(c_78,plain,
empty(empty_set),
inference(cnf_transformation,[],[f147]) ).
cnf(c_79,plain,
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_81,plain,
( ~ empty(X0)
| empty(relation_rng(X0)) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_100,plain,
subset(X0,X0),
inference(cnf_transformation,[],[f170]) ).
cnf(c_101,negated_conjecture,
( ~ in(sK19,relation_rng(sK20))
| relation_inverse_image(sK20,singleton(sK19)) = empty_set ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_102,negated_conjecture,
( relation_inverse_image(sK20,singleton(sK19)) != empty_set
| in(sK19,relation_rng(sK20)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_103,negated_conjecture,
relation(sK20),
inference(cnf_transformation,[],[f171]) ).
cnf(c_105,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_106,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_107,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_109,plain,
( ~ empty(X0)
| X0 = empty_set ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_110,plain,
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_163,plain,
X0 = X0,
theory(equality) ).
cnf(c_165,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_166,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_167,plain,
( X0 != X1
| ~ empty(X1)
| empty(X0) ),
theory(equality) ).
cnf(c_173,plain,
( X0 != X1
| X2 != X3
| ~ element(X1,X3)
| element(X0,X2) ),
theory(equality) ).
cnf(c_196,plain,
( singleton(X0) != X1
| ~ empty(X1)
| empty(singleton(X0)) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_211,plain,
( ~ relation(sK20)
| relation_inverse_image(sK20,singleton(sK19)) = empty_set
| in(sK1(sK20,singleton(sK19),empty_set),singleton(sK19))
| in(sK0(sK20,singleton(sK19),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_240,plain,
( ~ relation(sK20)
| relation_inverse_image(sK20,singleton(sK19)) = empty_set
| in(unordered_pair(unordered_pair(sK0(sK20,singleton(sK19),empty_set),sK1(sK20,singleton(sK19),empty_set)),singleton(sK0(sK20,singleton(sK19),empty_set))),sK20)
| in(sK0(sK20,singleton(sK19),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_280,plain,
( ~ in(sK19,relation_rng(sK20))
| ~ empty(relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_286,plain,
( ~ in(sK19,relation_rng(sK20))
| ~ relation(sK20)
| in(unordered_pair(unordered_pair(sK7(sK20,sK19),sK19),singleton(sK7(sK20,sK19))),sK20) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_621,plain,
( relation_inverse_image(sK20,singleton(sK19)) != X0
| ~ empty(X0)
| empty(relation_inverse_image(sK20,singleton(sK19))) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_623,plain,
( relation_inverse_image(sK20,singleton(sK19)) != empty_set
| ~ empty(empty_set)
| empty(relation_inverse_image(sK20,singleton(sK19))) ),
inference(instantiation,[status(thm)],[c_621]) ).
cnf(c_676,plain,
( ~ empty(relation_inverse_image(sK20,singleton(sK19)))
| in(sK19,relation_rng(sK20)) ),
inference(resolution,[status(thm)],[c_109,c_102]) ).
cnf(c_684,plain,
( ~ element(sK19,relation_rng(sK20))
| in(sK19,relation_rng(sK20))
| empty(relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_697,plain,
( ~ empty(sK20)
| empty(relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_717,plain,
( ~ in(sK0(sK20,singleton(sK19),empty_set),empty_set)
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_747,plain,
( in(sK4(relation_inverse_image(sK20,singleton(sK19))),relation_inverse_image(sK20,singleton(sK19)))
| in(sK19,relation_rng(sK20)) ),
inference(resolution,[status(thm)],[c_63,c_102]) ).
cnf(c_1496,plain,
( X0 != empty_set
| ~ empty(X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[c_165,c_109]) ).
cnf(c_1729,plain,
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| ~ in(X1,singleton(X3))
| ~ relation(X2)
| in(X0,relation_inverse_image(X2,singleton(X3))) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2874,plain,
( ~ in(unordered_pair(unordered_pair(sK0(sK20,singleton(sK19),empty_set),sK1(sK20,singleton(sK19),empty_set)),singleton(sK0(sK20,singleton(sK19),empty_set))),sK20)
| ~ relation(sK20)
| in(sK1(sK20,singleton(sK19),empty_set),relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_2969,plain,
( ~ in(X0,relation_inverse_image(sK20,singleton(sK19)))
| ~ empty(relation_inverse_image(sK20,singleton(sK19))) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_3073,plain,
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ empty(X1)
| ~ relation(X1) ),
inference(resolution,[status(thm)],[c_58,c_110]) ).
cnf(c_3149,plain,
( ~ subset(relation_rng(sK20),X0)
| element(relation_rng(sK20),powerset(X0)) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_3159,plain,
( ~ in(X0,singleton(sK19))
| X0 = sK19 ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_3177,plain,
sK19 = sK19,
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_3277,plain,
( ~ empty(relation_rng(sK20))
| ~ relation(sK20)
| empty(sK20) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_7644,plain,
( ~ in(unordered_pair(unordered_pair(sK7(sK20,sK19),sK19),singleton(sK7(sK20,sK19))),sK20)
| ~ in(sK19,singleton(X0))
| ~ relation(sK20)
| in(sK7(sK20,sK19),relation_inverse_image(sK20,singleton(X0))) ),
inference(instantiation,[status(thm)],[c_1729]) ).
cnf(c_9075,plain,
( ~ subset(relation_rng(sK20),relation_rng(sK20))
| element(relation_rng(sK20),powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_3149]) ).
cnf(c_9076,plain,
subset(relation_rng(sK20),relation_rng(sK20)),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_9088,plain,
( ~ in(sK1(sK20,singleton(sK19),empty_set),singleton(sK19))
| sK1(sK20,singleton(sK19),empty_set) = sK19 ),
inference(instantiation,[status(thm)],[c_3159]) ).
cnf(c_9118,plain,
( sK3(relation_rng(sK20),X0) = relation_rng(sK20)
| singleton(relation_rng(sK20)) = X0
| in(sK3(relation_rng(sK20),X0),X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_9120,plain,
( sK3(relation_rng(sK20),empty_set) = relation_rng(sK20)
| singleton(relation_rng(sK20)) = empty_set
| in(sK3(relation_rng(sK20),empty_set),empty_set) ),
inference(instantiation,[status(thm)],[c_9118]) ).
cnf(c_9150,plain,
( ~ in(unordered_pair(unordered_pair(sK7(sK20,sK19),sK19),singleton(sK7(sK20,sK19))),sK20)
| ~ in(sK19,singleton(sK19))
| ~ relation(sK20)
| in(sK7(sK20,sK19),relation_inverse_image(sK20,singleton(sK19))) ),
inference(instantiation,[status(thm)],[c_7644]) ).
cnf(c_9151,plain,
in(sK19,singleton(sK19)),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_9323,plain,
( X0 != X1
| sK19 != X1
| sK19 = X0 ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_10342,plain,
( ~ empty(X0)
| X0 = X1
| in(sK4(X1),X1) ),
inference(resolution,[status(thm)],[c_1496,c_63]) ).
cnf(c_12271,plain,
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ empty(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3073,c_51]) ).
cnf(c_12326,plain,
( ~ empty(sK20)
| in(sK19,relation_rng(sK20)) ),
inference(resolution,[status(thm)],[c_12271,c_747]) ).
cnf(c_12490,plain,
~ empty(sK20),
inference(global_subsumption_just,[status(thm)],[c_12326,c_280,c_697,c_12326]) ).
cnf(c_14841,plain,
( ~ in(sK7(sK20,sK19),relation_inverse_image(sK20,singleton(sK19)))
| ~ empty(relation_inverse_image(sK20,singleton(sK19))) ),
inference(instantiation,[status(thm)],[c_2969]) ).
cnf(c_16957,plain,
( X0 != sK19
| sK19 != sK19
| sK19 = X0 ),
inference(instantiation,[status(thm)],[c_9323]) ).
cnf(c_22172,plain,
( sK1(sK20,singleton(sK19),empty_set) != sK19
| sK19 != sK19
| sK19 = sK1(sK20,singleton(sK19),empty_set) ),
inference(instantiation,[status(thm)],[c_16957]) ).
cnf(c_23183,plain,
( singleton(relation_rng(sK20)) != X0
| ~ empty(X0)
| empty(singleton(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_23184,plain,
( singleton(relation_rng(sK20)) != empty_set
| ~ empty(empty_set)
| empty(singleton(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_23183]) ).
cnf(c_60615,plain,
( ~ in(sK3(relation_rng(sK20),X0),X0)
| ~ empty(X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_60616,plain,
( ~ in(sK3(relation_rng(sK20),empty_set),empty_set)
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[c_60615]) ).
cnf(c_135540,plain,
( X0 != sK1(sK20,singleton(sK19),empty_set)
| X1 != relation_rng(sK20)
| ~ in(sK1(sK20,singleton(sK19),empty_set),relation_rng(sK20))
| in(X0,X1) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_136115,plain,
powerset(X0) = powerset(X0),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_137144,plain,
( sK3(relation_rng(sK20),X0) != relation_rng(sK20)
| X1 != sK1(sK20,singleton(sK19),empty_set)
| ~ in(sK1(sK20,singleton(sK19),empty_set),relation_rng(sK20))
| in(X1,sK3(relation_rng(sK20),X0)) ),
inference(instantiation,[status(thm)],[c_135540]) ).
cnf(c_144758,plain,
( ~ element(X0,powerset(relation_rng(sK20)))
| ~ in(sK19,X0)
| element(sK19,relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_107]) ).
cnf(c_149166,plain,
( powerset(relation_rng(sK20)) != X0
| X1 != X2
| ~ element(X2,X0)
| element(X1,powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_153831,plain,
( powerset(relation_rng(sK20)) != powerset(relation_rng(sK20))
| X0 != X1
| ~ element(X1,powerset(relation_rng(sK20)))
| element(X0,powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_149166]) ).
cnf(c_153833,plain,
powerset(relation_rng(sK20)) = powerset(relation_rng(sK20)),
inference(instantiation,[status(thm)],[c_136115]) ).
cnf(c_154570,plain,
( ~ empty(relation_inverse_image(sK20,singleton(sK19)))
| in(sK4(empty_set),empty_set)
| in(sK19,relation_rng(sK20)) ),
inference(resolution,[status(thm)],[c_10342,c_102]) ).
cnf(c_157451,plain,
~ empty(relation_inverse_image(sK20,singleton(sK19))),
inference(global_subsumption_just,[status(thm)],[c_154570,c_103,c_286,c_676,c_9150,c_9151,c_14841]) ).
cnf(c_157593,plain,
( ~ element(sK3(relation_rng(sK20),X0),powerset(relation_rng(sK20)))
| ~ in(sK19,sK3(relation_rng(sK20),X0))
| element(sK19,relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_144758]) ).
cnf(c_157594,plain,
( sK3(relation_rng(sK20),X0) != relation_rng(sK20)
| sK19 != sK1(sK20,singleton(sK19),empty_set)
| ~ in(sK1(sK20,singleton(sK19),empty_set),relation_rng(sK20))
| in(sK19,sK3(relation_rng(sK20),X0)) ),
inference(instantiation,[status(thm)],[c_137144]) ).
cnf(c_157595,plain,
( ~ element(sK3(relation_rng(sK20),empty_set),powerset(relation_rng(sK20)))
| ~ in(sK19,sK3(relation_rng(sK20),empty_set))
| element(sK19,relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_157593]) ).
cnf(c_157596,plain,
( sK3(relation_rng(sK20),empty_set) != relation_rng(sK20)
| sK19 != sK1(sK20,singleton(sK19),empty_set)
| ~ in(sK1(sK20,singleton(sK19),empty_set),relation_rng(sK20))
| in(sK19,sK3(relation_rng(sK20),empty_set)) ),
inference(instantiation,[status(thm)],[c_157594]) ).
cnf(c_164494,plain,
( sK3(relation_rng(sK20),X0) != X1
| powerset(relation_rng(sK20)) != powerset(relation_rng(sK20))
| ~ element(X1,powerset(relation_rng(sK20)))
| element(sK3(relation_rng(sK20),X0),powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_153831]) ).
cnf(c_170664,plain,
( sK3(relation_rng(sK20),X0) != relation_rng(sK20)
| powerset(relation_rng(sK20)) != powerset(relation_rng(sK20))
| ~ element(relation_rng(sK20),powerset(relation_rng(sK20)))
| element(sK3(relation_rng(sK20),X0),powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_164494]) ).
cnf(c_170665,plain,
( sK3(relation_rng(sK20),empty_set) != relation_rng(sK20)
| powerset(relation_rng(sK20)) != powerset(relation_rng(sK20))
| ~ element(relation_rng(sK20),powerset(relation_rng(sK20)))
| element(sK3(relation_rng(sK20),empty_set),powerset(relation_rng(sK20))) ),
inference(instantiation,[status(thm)],[c_170664]) ).
cnf(c_223776,plain,
~ empty(singleton(relation_rng(sK20))),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_223777,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_223776,c_170665,c_157596,c_157595,c_157451,c_153833,c_60616,c_23184,c_22172,c_12490,c_9120,c_9088,c_9076,c_9075,c_3277,c_3177,c_2874,c_717,c_684,c_623,c_240,c_211,c_101,c_78,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU061+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 18:38:35 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 109.60/15.37 % SZS status Started for theBenchmark.p
% 109.60/15.37 % SZS status Theorem for theBenchmark.p
% 109.60/15.37
% 109.60/15.37 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 109.60/15.37
% 109.60/15.37 ------ iProver source info
% 109.60/15.37
% 109.60/15.37 git: date: 2023-05-31 18:12:56 +0000
% 109.60/15.37 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 109.60/15.37 git: non_committed_changes: false
% 109.60/15.37 git: last_make_outside_of_git: false
% 109.60/15.37
% 109.60/15.37 ------ Parsing...
% 109.60/15.37 ------ Clausification by vclausify_rel & Parsing by iProver...
% 109.60/15.37
% 109.60/15.37 ------ Preprocessing... sf_s rm: 6 0s sf_e sf_s rm: 2 0s sf_e
% 109.60/15.37
% 109.60/15.37 ------ Preprocessing...
% 109.60/15.37
% 109.60/15.37 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 109.60/15.37 ------ Proving...
% 109.60/15.37 ------ Problem Properties
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37 clauses 56
% 109.60/15.37 conjectures 3
% 109.60/15.37 EPR 23
% 109.60/15.37 Horn 49
% 109.60/15.37 unary 25
% 109.60/15.37 binary 14
% 109.60/15.37 lits 111
% 109.60/15.37 lits eq 16
% 109.60/15.37 fd_pure 0
% 109.60/15.37 fd_pseudo 0
% 109.60/15.37 fd_cond 2
% 109.60/15.37 fd_pseudo_cond 8
% 109.60/15.37 AC symbols 0
% 109.60/15.37
% 109.60/15.37 ------ Input Options Time Limit: Unbounded
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37 ------
% 109.60/15.37 Current options:
% 109.60/15.37 ------
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37 ------ Proving...
% 109.60/15.37
% 109.60/15.37
% 109.60/15.37 % SZS status Theorem for theBenchmark.p
% 109.60/15.37
% 109.60/15.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 109.60/15.37
% 109.60/15.38
%------------------------------------------------------------------------------