TSTP Solution File: SEU244+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 17:05:09 EDT 2023
% Result : Theorem 3.69s 1.17s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 206 ( 9 unt; 0 def)
% Number of atoms : 788 ( 61 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1009 ( 427 ~; 490 |; 60 &)
% ( 18 <=>; 13 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn; 69 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f22,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_2) ).
fof(f23,axiom,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> is_transitive_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
fof(f50,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
fof(f56,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( well_orders(X0,X1)
<=> ( is_well_founded_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_transitive_in(X0,X1)
& is_reflexive_in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_wellord1) ).
fof(f68,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_relat_2) ).
fof(f138,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,relation_field(X0))
=> in(ordered_pair(X1,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).
fof(f266,axiom,
! [X0] :
( relation(X0)
=> ( well_founded_relation(X0)
<=> is_well_founded_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord1) ).
fof(f290,conjecture,
! [X0] :
( relation(X0)
=> ( well_orders(X0,relation_field(X0))
<=> well_ordering(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_wellord1) ).
fof(f291,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( well_orders(X0,relation_field(X0))
<=> well_ordering(X0) ) ),
inference(negated_conjecture,[],[f290]) ).
fof(f330,plain,
! [X0] :
( ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f335,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f336,plain,
! [X0] :
( ( transitive(X0)
<=> is_transitive_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f354,plain,
! [X0] :
( ( well_ordering(X0)
<=> ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( well_orders(X0,X1)
<=> ( is_well_founded_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_transitive_in(X0,X1)
& is_reflexive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f373,plain,
! [X0] :
( ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f421,plain,
! [X0] :
( ( reflexive(X0)
<=> ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f553,plain,
! [X0] :
( ( well_founded_relation(X0)
<=> is_well_founded_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f266]) ).
fof(f578,plain,
? [X0] :
( ( well_orders(X0,relation_field(X0))
<~> well_ordering(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f291]) ).
fof(f614,plain,
! [X0] :
( ( ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) )
& ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f330]) ).
fof(f632,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f335]) ).
fof(f633,plain,
! [X0] :
( ( ( transitive(X0)
| ~ is_transitive_in(X0,relation_field(X0)) )
& ( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f336]) ).
fof(f737,plain,
! [X0] :
( ( ( well_ordering(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) )
& ( ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) )
| ~ well_ordering(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f354]) ).
fof(f738,plain,
! [X0] :
( ( ( well_ordering(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) )
& ( ( well_founded_relation(X0)
& connected(X0)
& antisymmetric(X0)
& transitive(X0)
& reflexive(X0) )
| ~ well_ordering(X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f737]) ).
fof(f756,plain,
! [X0] :
( ! [X1] :
( ( well_orders(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1) )
& ( ( is_well_founded_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_transitive_in(X0,X1)
& is_reflexive_in(X0,X1) )
| ~ well_orders(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f359]) ).
fof(f757,plain,
! [X0] :
( ! [X1] :
( ( well_orders(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1) )
& ( ( is_well_founded_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_transitive_in(X0,X1)
& is_reflexive_in(X0,X1) )
| ~ well_orders(X0,X1) ) )
| ~ relation(X0) ),
inference(flattening,[],[f756]) ).
fof(f787,plain,
! [X0] :
( ( ( reflexive(X0)
| ~ is_reflexive_in(X0,relation_field(X0)) )
& ( is_reflexive_in(X0,relation_field(X0))
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f373]) ).
fof(f790,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f421]) ).
fof(f791,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f790]) ).
fof(f792,plain,
! [X0] :
( ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) )
=> ( ~ in(ordered_pair(sK78(X0),sK78(X0)),X0)
& in(sK78(X0),relation_field(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f793,plain,
! [X0] :
( ( ( reflexive(X0)
| ( ~ in(ordered_pair(sK78(X0),sK78(X0)),X0)
& in(sK78(X0),relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78])],[f791,f792]) ).
fof(f903,plain,
! [X0] :
( ( ( well_founded_relation(X0)
| ~ is_well_founded_in(X0,relation_field(X0)) )
& ( is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f553]) ).
fof(f920,plain,
? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) ),
inference(nnf_transformation,[],[f578]) ).
fof(f921,plain,
? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) ),
inference(flattening,[],[f920]) ).
fof(f922,plain,
( ? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) )
=> ( ( ~ well_ordering(sK118)
| ~ well_orders(sK118,relation_field(sK118)) )
& ( well_ordering(sK118)
| well_orders(sK118,relation_field(sK118)) )
& relation(sK118) ) ),
introduced(choice_axiom,[]) ).
fof(f923,plain,
( ( ~ well_ordering(sK118)
| ~ well_orders(sK118,relation_field(sK118)) )
& ( well_ordering(sK118)
| well_orders(sK118,relation_field(sK118)) )
& relation(sK118) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK118])],[f921,f922]) ).
fof(f974,plain,
! [X0] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f975,plain,
! [X0] :
( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f994,plain,
! [X0] :
( is_connected_in(X0,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f632]) ).
fof(f995,plain,
! [X0] :
( connected(X0)
| ~ is_connected_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f632]) ).
fof(f996,plain,
! [X0] :
( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f633]) ).
fof(f997,plain,
! [X0] :
( transitive(X0)
| ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f633]) ).
fof(f1114,plain,
! [X0] :
( reflexive(X0)
| ~ well_ordering(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1115,plain,
! [X0] :
( transitive(X0)
| ~ well_ordering(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1116,plain,
! [X0] :
( antisymmetric(X0)
| ~ well_ordering(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1117,plain,
! [X0] :
( connected(X0)
| ~ well_ordering(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1118,plain,
! [X0] :
( well_founded_relation(X0)
| ~ well_ordering(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1119,plain,
! [X0] :
( well_ordering(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f738]) ).
fof(f1138,plain,
! [X0,X1] :
( is_reflexive_in(X0,X1)
| ~ well_orders(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1139,plain,
! [X0,X1] :
( is_transitive_in(X0,X1)
| ~ well_orders(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1140,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| ~ well_orders(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1141,plain,
! [X0,X1] :
( is_connected_in(X0,X1)
| ~ well_orders(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1142,plain,
! [X0,X1] :
( is_well_founded_in(X0,X1)
| ~ well_orders(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1143,plain,
! [X0,X1] :
( well_orders(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1184,plain,
! [X0] :
( is_reflexive_in(X0,relation_field(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f787]) ).
fof(f1185,plain,
! [X0] :
( reflexive(X0)
| ~ is_reflexive_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f787]) ).
fof(f1261,plain,
! [X0] :
( reflexive(X0)
| in(sK78(X0),relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f793]) ).
fof(f1491,plain,
! [X0] :
( is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f903]) ).
fof(f1492,plain,
! [X0] :
( well_founded_relation(X0)
| ~ is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f903]) ).
fof(f1532,plain,
relation(sK118),
inference(cnf_transformation,[],[f923]) ).
fof(f1533,plain,
( well_ordering(sK118)
| well_orders(sK118,relation_field(sK118)) ),
inference(cnf_transformation,[],[f923]) ).
fof(f1534,plain,
( ~ well_ordering(sK118)
| ~ well_orders(sK118,relation_field(sK118)) ),
inference(cnf_transformation,[],[f923]) ).
cnf(c_93,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| antisymmetric(X0) ),
inference(cnf_transformation,[],[f975]) ).
cnf(c_94,plain,
( ~ relation(X0)
| ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f974]) ).
cnf(c_113,plain,
( ~ is_connected_in(X0,relation_field(X0))
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f995]) ).
cnf(c_114,plain,
( ~ relation(X0)
| ~ connected(X0)
| is_connected_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f994]) ).
cnf(c_115,plain,
( ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f997]) ).
cnf(c_116,plain,
( ~ relation(X0)
| ~ transitive(X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f996]) ).
cnf(c_232,plain,
( ~ relation(X0)
| ~ antisymmetric(X0)
| ~ connected(X0)
| ~ transitive(X0)
| ~ well_founded_relation(X0)
| ~ reflexive(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f1119]) ).
cnf(c_233,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| well_founded_relation(X0) ),
inference(cnf_transformation,[],[f1118]) ).
cnf(c_234,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f1117]) ).
cnf(c_235,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| antisymmetric(X0) ),
inference(cnf_transformation,[],[f1116]) ).
cnf(c_236,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| transitive(X0) ),
inference(cnf_transformation,[],[f1115]) ).
cnf(c_237,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| reflexive(X0) ),
inference(cnf_transformation,[],[f1114]) ).
cnf(c_255,plain,
( ~ is_antisymmetric_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ relation(X0)
| well_orders(X0,X1) ),
inference(cnf_transformation,[],[f1143]) ).
cnf(c_256,plain,
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_well_founded_in(X0,X1) ),
inference(cnf_transformation,[],[f1142]) ).
cnf(c_257,plain,
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_connected_in(X0,X1) ),
inference(cnf_transformation,[],[f1141]) ).
cnf(c_258,plain,
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f1140]) ).
cnf(c_259,plain,
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_transitive_in(X0,X1) ),
inference(cnf_transformation,[],[f1139]) ).
cnf(c_260,plain,
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_reflexive_in(X0,X1) ),
inference(cnf_transformation,[],[f1138]) ).
cnf(c_301,plain,
( ~ is_reflexive_in(X0,relation_field(X0))
| ~ relation(X0)
| reflexive(X0) ),
inference(cnf_transformation,[],[f1185]) ).
cnf(c_302,plain,
( ~ relation(X0)
| ~ reflexive(X0)
| is_reflexive_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f1184]) ).
cnf(c_378,plain,
( ~ relation(X0)
| in(sK78(X0),relation_field(X0))
| reflexive(X0) ),
inference(cnf_transformation,[],[f1261]) ).
cnf(c_607,plain,
( ~ is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0)
| well_founded_relation(X0) ),
inference(cnf_transformation,[],[f1492]) ).
cnf(c_608,plain,
( ~ relation(X0)
| ~ well_founded_relation(X0)
| is_well_founded_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f1491]) ).
cnf(c_647,negated_conjecture,
( ~ well_orders(sK118,relation_field(sK118))
| ~ well_ordering(sK118) ),
inference(cnf_transformation,[],[f1534]) ).
cnf(c_648,negated_conjecture,
( well_orders(sK118,relation_field(sK118))
| well_ordering(sK118) ),
inference(cnf_transformation,[],[f1533]) ).
cnf(c_649,negated_conjecture,
relation(sK118),
inference(cnf_transformation,[],[f1532]) ).
cnf(c_1109,plain,
( ~ well_ordering(sK118)
| ~ well_orders(sK118,relation_field(sK118)) ),
inference(prop_impl_just,[status(thm)],[c_647]) ).
cnf(c_1110,plain,
( ~ well_orders(sK118,relation_field(sK118))
| ~ well_ordering(sK118) ),
inference(renaming,[status(thm)],[c_1109]) ).
cnf(c_1111,plain,
( well_ordering(sK118)
| well_orders(sK118,relation_field(sK118)) ),
inference(prop_impl_just,[status(thm)],[c_648]) ).
cnf(c_1112,plain,
( well_orders(sK118,relation_field(sK118))
| well_ordering(sK118) ),
inference(renaming,[status(thm)],[c_1111]) ).
cnf(c_9088,plain,
( X0 != sK118
| ~ well_orders(sK118,relation_field(sK118))
| ~ relation(X0)
| ~ antisymmetric(X0)
| ~ connected(X0)
| ~ transitive(X0)
| ~ well_founded_relation(X0)
| ~ reflexive(X0) ),
inference(resolution_lifted,[status(thm)],[c_232,c_1110]) ).
cnf(c_9089,plain,
( ~ well_orders(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| ~ reflexive(sK118) ),
inference(unflattening,[status(thm)],[c_9088]) ).
cnf(c_9090,plain,
( ~ well_orders(sK118,relation_field(sK118))
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| ~ reflexive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9089,c_649,c_9089]) ).
cnf(c_9110,plain,
( X0 != sK118
| ~ relation(X0)
| well_orders(sK118,relation_field(sK118))
| reflexive(X0) ),
inference(resolution_lifted,[status(thm)],[c_237,c_1112]) ).
cnf(c_9111,plain,
( ~ relation(sK118)
| well_orders(sK118,relation_field(sK118))
| reflexive(sK118) ),
inference(unflattening,[status(thm)],[c_9110]) ).
cnf(c_9112,plain,
( well_orders(sK118,relation_field(sK118))
| reflexive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9111,c_649,c_9111]) ).
cnf(c_9120,plain,
( X0 != sK118
| ~ relation(X0)
| well_orders(sK118,relation_field(sK118))
| transitive(X0) ),
inference(resolution_lifted,[status(thm)],[c_236,c_1112]) ).
cnf(c_9121,plain,
( ~ relation(sK118)
| well_orders(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_9120]) ).
cnf(c_9122,plain,
( well_orders(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9121,c_649,c_9121]) ).
cnf(c_9130,plain,
( X0 != sK118
| ~ relation(X0)
| well_orders(sK118,relation_field(sK118))
| antisymmetric(X0) ),
inference(resolution_lifted,[status(thm)],[c_235,c_1112]) ).
cnf(c_9131,plain,
( ~ relation(sK118)
| well_orders(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_9130]) ).
cnf(c_9132,plain,
( well_orders(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9131,c_649,c_9131]) ).
cnf(c_9140,plain,
( X0 != sK118
| ~ relation(X0)
| well_orders(sK118,relation_field(sK118))
| connected(X0) ),
inference(resolution_lifted,[status(thm)],[c_234,c_1112]) ).
cnf(c_9141,plain,
( ~ relation(sK118)
| well_orders(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_9140]) ).
cnf(c_9142,plain,
( well_orders(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9141,c_649,c_9141]) ).
cnf(c_9150,plain,
( X0 != sK118
| ~ relation(X0)
| well_orders(sK118,relation_field(sK118))
| well_founded_relation(X0) ),
inference(resolution_lifted,[status(thm)],[c_233,c_1112]) ).
cnf(c_9151,plain,
( ~ relation(sK118)
| well_orders(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_9150]) ).
cnf(c_9152,plain,
( well_orders(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_9151,c_649,c_9151]) ).
cnf(c_9295,plain,
( X0 != sK118
| ~ is_reflexive_in(X0,relation_field(X0))
| ~ well_orders(sK118,relation_field(sK118))
| ~ relation(X0)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_301,c_9090]) ).
cnf(c_9296,plain,
( ~ is_reflexive_in(sK118,relation_field(sK118))
| ~ well_orders(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_9295]) ).
cnf(c_9317,plain,
( X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,relation_field(X0))
| well_orders(sK118,relation_field(sK118)) ),
inference(resolution_lifted,[status(thm)],[c_302,c_9112]) ).
cnf(c_9318,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_9317]) ).
cnf(c_9319,plain,
( is_reflexive_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(global_subsumption_just,[status(thm)],[c_9318,c_649,c_9318]) ).
cnf(c_9761,plain,
( X0 != sK118
| ~ relation(X0)
| is_antisymmetric_in(X0,relation_field(X0))
| well_orders(sK118,relation_field(sK118)) ),
inference(resolution_lifted,[status(thm)],[c_94,c_9132]) ).
cnf(c_9762,plain,
( ~ relation(sK118)
| is_antisymmetric_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_9761]) ).
cnf(c_10043,plain,
( X0 != sK118
| ~ relation(X0)
| is_transitive_in(X0,relation_field(X0))
| well_orders(sK118,relation_field(sK118)) ),
inference(resolution_lifted,[status(thm)],[c_116,c_9122]) ).
cnf(c_10044,plain,
( ~ relation(sK118)
| is_transitive_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_10043]) ).
cnf(c_11144,plain,
( X0 != sK118
| ~ relation(X0)
| is_well_founded_in(X0,relation_field(X0))
| well_orders(sK118,relation_field(sK118)) ),
inference(resolution_lifted,[status(thm)],[c_608,c_9152]) ).
cnf(c_11145,plain,
( ~ relation(sK118)
| is_well_founded_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_11144]) ).
cnf(c_11146,plain,
( is_well_founded_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(global_subsumption_just,[status(thm)],[c_11145,c_649,c_11145]) ).
cnf(c_12009,plain,
( X0 != sK118
| ~ relation(X0)
| is_connected_in(X0,relation_field(X0))
| well_orders(sK118,relation_field(sK118)) ),
inference(resolution_lifted,[status(thm)],[c_114,c_9142]) ).
cnf(c_12010,plain,
( ~ relation(sK118)
| is_connected_in(sK118,relation_field(sK118))
| well_orders(sK118,relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_12009]) ).
cnf(c_13331,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ is_antisymmetric_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ relation(X0)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| ~ reflexive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_255,c_9090]) ).
cnf(c_13332,plain,
( ~ is_antisymmetric_in(sK118,relation_field(sK118))
| ~ is_connected_in(sK118,relation_field(sK118))
| ~ is_transitive_in(sK118,relation_field(sK118))
| ~ is_reflexive_in(sK118,relation_field(sK118))
| ~ is_well_founded_in(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| ~ reflexive(sK118) ),
inference(unflattening,[status(thm)],[c_13331]) ).
cnf(c_13333,plain,
( ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| ~ reflexive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13332,c_649,c_9089,c_9318,c_9762,c_10044,c_11145,c_12010,c_13332]) ).
cnf(c_13350,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,X1)
| well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_260,c_9152]) ).
cnf(c_13351,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_13350]) ).
cnf(c_13352,plain,
( is_reflexive_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13351,c_649,c_13351]) ).
cnf(c_13360,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,X1)
| connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_260,c_9142]) ).
cnf(c_13361,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_13360]) ).
cnf(c_13362,plain,
( is_reflexive_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13361,c_649,c_13361]) ).
cnf(c_13370,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,X1)
| antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_260,c_9132]) ).
cnf(c_13371,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_13370]) ).
cnf(c_13372,plain,
( is_reflexive_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13371,c_649,c_13371]) ).
cnf(c_13380,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,X1)
| transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_260,c_9122]) ).
cnf(c_13381,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_13380]) ).
cnf(c_13382,plain,
( is_reflexive_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13381,c_649,c_13381]) ).
cnf(c_13390,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_reflexive_in(X0,X1)
| reflexive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_260,c_9112]) ).
cnf(c_13391,plain,
( ~ relation(sK118)
| is_reflexive_in(sK118,relation_field(sK118))
| reflexive(sK118) ),
inference(unflattening,[status(thm)],[c_13390]) ).
cnf(c_13392,plain,
is_reflexive_in(sK118,relation_field(sK118)),
inference(global_subsumption_just,[status(thm)],[c_13391,c_649,c_9090,c_9319,c_13352,c_13362,c_13372,c_13382,c_13391]) ).
cnf(c_13397,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_transitive_in(X0,X1)
| well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_259,c_9152]) ).
cnf(c_13398,plain,
( ~ relation(sK118)
| is_transitive_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_13397]) ).
cnf(c_13399,plain,
( is_transitive_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13398,c_649,c_13398]) ).
cnf(c_13407,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_transitive_in(X0,X1)
| connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_259,c_9142]) ).
cnf(c_13408,plain,
( ~ relation(sK118)
| is_transitive_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_13407]) ).
cnf(c_13409,plain,
( is_transitive_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13408,c_649,c_13408]) ).
cnf(c_13417,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_transitive_in(X0,X1)
| antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_259,c_9132]) ).
cnf(c_13418,plain,
( ~ relation(sK118)
| is_transitive_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_13417]) ).
cnf(c_13419,plain,
( is_transitive_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13418,c_649,c_13418]) ).
cnf(c_13427,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_transitive_in(X0,X1)
| transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_259,c_9122]) ).
cnf(c_13428,plain,
( ~ relation(sK118)
| is_transitive_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_13427]) ).
cnf(c_13429,plain,
is_transitive_in(sK118,relation_field(sK118)),
inference(global_subsumption_just,[status(thm)],[c_13428,c_649,c_9090,c_9112,c_9296,c_9319,c_13333,c_13352,c_13362,c_13372,c_13382,c_13391,c_13399,c_13409,c_13419,c_13428]) ).
cnf(c_13436,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_antisymmetric_in(X0,X1)
| well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_258,c_9152]) ).
cnf(c_13437,plain,
( ~ relation(sK118)
| is_antisymmetric_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_13436]) ).
cnf(c_13438,plain,
( is_antisymmetric_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13437,c_649,c_13437]) ).
cnf(c_13446,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_antisymmetric_in(X0,X1)
| connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_258,c_9142]) ).
cnf(c_13447,plain,
( ~ relation(sK118)
| is_antisymmetric_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_13446]) ).
cnf(c_13448,plain,
( is_antisymmetric_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13447,c_649,c_13447]) ).
cnf(c_13456,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_antisymmetric_in(X0,X1)
| antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_258,c_9132]) ).
cnf(c_13457,plain,
( ~ relation(sK118)
| is_antisymmetric_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_13456]) ).
cnf(c_13458,plain,
( is_antisymmetric_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13457,c_649,c_13457]) ).
cnf(c_13466,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_antisymmetric_in(X0,X1)
| transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_258,c_9122]) ).
cnf(c_13467,plain,
( ~ relation(sK118)
| is_antisymmetric_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_13466]) ).
cnf(c_13468,plain,
is_antisymmetric_in(sK118,relation_field(sK118)),
inference(global_subsumption_just,[status(thm)],[c_13467,c_649,c_9090,c_9112,c_9296,c_9319,c_13333,c_13352,c_13362,c_13372,c_13382,c_13391,c_13438,c_13448,c_13458,c_13467]) ).
cnf(c_13475,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_connected_in(X0,X1)
| well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_257,c_9152]) ).
cnf(c_13476,plain,
( ~ relation(sK118)
| is_connected_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_13475]) ).
cnf(c_13477,plain,
( is_connected_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13476,c_649,c_13476]) ).
cnf(c_13485,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_connected_in(X0,X1)
| connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_257,c_9142]) ).
cnf(c_13486,plain,
( ~ relation(sK118)
| is_connected_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_13485]) ).
cnf(c_13487,plain,
( is_connected_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13486,c_649,c_13486]) ).
cnf(c_13495,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_connected_in(X0,X1)
| antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_257,c_9132]) ).
cnf(c_13496,plain,
( ~ relation(sK118)
| is_connected_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_13495]) ).
cnf(c_13497,plain,
( is_connected_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13496,c_649,c_13496]) ).
cnf(c_13505,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_connected_in(X0,X1)
| transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_257,c_9122]) ).
cnf(c_13506,plain,
( ~ relation(sK118)
| is_connected_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_13505]) ).
cnf(c_13507,plain,
is_connected_in(sK118,relation_field(sK118)),
inference(global_subsumption_just,[status(thm)],[c_13506,c_649,c_9090,c_9112,c_9296,c_9319,c_13333,c_13352,c_13362,c_13372,c_13382,c_13391,c_13477,c_13487,c_13497,c_13506]) ).
cnf(c_13514,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_well_founded_in(X0,X1)
| well_founded_relation(sK118) ),
inference(resolution_lifted,[status(thm)],[c_256,c_9152]) ).
cnf(c_13515,plain,
( ~ relation(sK118)
| is_well_founded_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(unflattening,[status(thm)],[c_13514]) ).
cnf(c_13516,plain,
( is_well_founded_in(sK118,relation_field(sK118))
| well_founded_relation(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13515,c_649,c_13515]) ).
cnf(c_13524,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_well_founded_in(X0,X1)
| connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_256,c_9142]) ).
cnf(c_13525,plain,
( ~ relation(sK118)
| is_well_founded_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(unflattening,[status(thm)],[c_13524]) ).
cnf(c_13526,plain,
( is_well_founded_in(sK118,relation_field(sK118))
| connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13525,c_649,c_13525]) ).
cnf(c_13534,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_well_founded_in(X0,X1)
| antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_256,c_9132]) ).
cnf(c_13535,plain,
( ~ relation(sK118)
| is_well_founded_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_13534]) ).
cnf(c_13536,plain,
( is_well_founded_in(sK118,relation_field(sK118))
| antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13535,c_649,c_13535]) ).
cnf(c_13544,plain,
( relation_field(sK118) != X1
| X0 != sK118
| ~ relation(X0)
| is_well_founded_in(X0,X1)
| transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_256,c_9122]) ).
cnf(c_13545,plain,
( ~ relation(sK118)
| is_well_founded_in(sK118,relation_field(sK118))
| transitive(sK118) ),
inference(unflattening,[status(thm)],[c_13544]) ).
cnf(c_13546,plain,
is_well_founded_in(sK118,relation_field(sK118)),
inference(global_subsumption_just,[status(thm)],[c_13545,c_649,c_9090,c_9296,c_9319,c_11146,c_13352,c_13362,c_13372,c_13382,c_13391,c_13516,c_13526,c_13536,c_13545]) ).
cnf(c_13711,plain,
( X0 != sK118
| ~ relation(X0)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| in(sK78(X0),relation_field(X0)) ),
inference(resolution_lifted,[status(thm)],[c_378,c_13333]) ).
cnf(c_13712,plain,
( ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118)
| in(sK78(sK118),relation_field(sK118)) ),
inference(unflattening,[status(thm)],[c_13711]) ).
cnf(c_13713,plain,
( ~ well_founded_relation(sK118)
| ~ transitive(sK118)
| ~ connected(sK118)
| ~ antisymmetric(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_13712,c_649,c_9112,c_9296,c_13333,c_13392]) ).
cnf(c_13714,plain,
( ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118)
| ~ well_founded_relation(sK118) ),
inference(renaming,[status(thm)],[c_13713]) ).
cnf(c_15189,plain,
( X0 != sK118
| ~ is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118) ),
inference(resolution_lifted,[status(thm)],[c_607,c_13714]) ).
cnf(c_15190,plain,
( ~ is_well_founded_in(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118) ),
inference(unflattening,[status(thm)],[c_15189]) ).
cnf(c_15191,plain,
( ~ antisymmetric(sK118)
| ~ connected(sK118)
| ~ transitive(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_15190,c_649,c_13546,c_15190]) ).
cnf(c_15588,plain,
( X0 != sK118
| ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ antisymmetric(sK118)
| ~ connected(sK118) ),
inference(resolution_lifted,[status(thm)],[c_115,c_15191]) ).
cnf(c_15589,plain,
( ~ is_transitive_in(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118)
| ~ connected(sK118) ),
inference(unflattening,[status(thm)],[c_15588]) ).
cnf(c_15590,plain,
( ~ antisymmetric(sK118)
| ~ connected(sK118) ),
inference(global_subsumption_just,[status(thm)],[c_15589,c_649,c_13429,c_15589]) ).
cnf(c_16387,plain,
( X0 != sK118
| ~ is_connected_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ antisymmetric(sK118) ),
inference(resolution_lifted,[status(thm)],[c_113,c_15590]) ).
cnf(c_16388,plain,
( ~ is_connected_in(sK118,relation_field(sK118))
| ~ relation(sK118)
| ~ antisymmetric(sK118) ),
inference(unflattening,[status(thm)],[c_16387]) ).
cnf(c_16389,plain,
~ antisymmetric(sK118),
inference(global_subsumption_just,[status(thm)],[c_16388,c_649,c_13507,c_16388]) ).
cnf(c_16569,plain,
( X0 != sK118
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(resolution_lifted,[status(thm)],[c_93,c_16389]) ).
cnf(c_16570,plain,
( ~ is_antisymmetric_in(sK118,relation_field(sK118))
| ~ relation(sK118) ),
inference(unflattening,[status(thm)],[c_16569]) ).
cnf(c_16571,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16570,c_13468,c_649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU244+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n010.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 19:50:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.69/1.17 % SZS status Started for theBenchmark.p
% 3.69/1.17 % SZS status Theorem for theBenchmark.p
% 3.69/1.17
% 3.69/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.69/1.17
% 3.69/1.17 ------ iProver source info
% 3.69/1.17
% 3.69/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.69/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.69/1.17 git: non_committed_changes: false
% 3.69/1.17 git: last_make_outside_of_git: false
% 3.69/1.17
% 3.69/1.17 ------ Parsing...
% 3.69/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.69/1.17
% 3.69/1.17 ------ Preprocessing... sup_sim: 55 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s
% 3.69/1.17
% 3.69/1.17 % SZS status Theorem for theBenchmark.p
% 3.69/1.17
% 3.69/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.17
% 3.69/1.17
%------------------------------------------------------------------------------