TSTP Solution File: SEU234+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU234+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Tue Apr 30 20:41:37 EDT 2024
% Result : Theorem 0.10s 0.32s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of formulae : 163 ( 18 unt; 0 def)
% Number of atoms : 424 ( 35 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 420 ( 159 ~; 172 |; 50 &)
% ( 30 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 27 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 80 ( 72 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( ( epsilon_transitive(A)
& epsilon_connected(A) )
=> ordinal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( in(B,A)
=> subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] :
( epsilon_connected(A)
<=> ! [B,C] :
~ ( in(B,A)
& in(C,A)
& ~ in(B,C)
& B != C
& ~ in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
? [A] :
( ~ empty(A)
& epsilon_transitive(A)
& epsilon_connected(A)
& ordinal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ in(A,B)
& A != B
& ~ in(B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ ! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f39,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f54,plain,
! [A] :
( ~ epsilon_transitive(A)
| ~ epsilon_connected(A)
| ordinal(A) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f55,plain,
! [X0] :
( ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0)
| ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f60,plain,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( ~ in(B,A)
| subset(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f61,plain,
! [A] :
( ( ~ epsilon_transitive(A)
| ! [B] :
( ~ in(B,A)
| subset(B,A) ) )
& ( epsilon_transitive(A)
| ? [B] :
( in(B,A)
& ~ subset(B,A) ) ) ),
inference(NNF_transformation,[status(esa)],[f60]) ).
fof(f62,plain,
( ! [A] :
( ~ epsilon_transitive(A)
| ! [B] :
( ~ in(B,A)
| subset(B,A) ) )
& ! [A] :
( epsilon_transitive(A)
| ? [B] :
( in(B,A)
& ~ subset(B,A) ) ) ),
inference(miniscoping,[status(esa)],[f61]) ).
fof(f63,plain,
( ! [A] :
( ~ epsilon_transitive(A)
| ! [B] :
( ~ in(B,A)
| subset(B,A) ) )
& ! [A] :
( epsilon_transitive(A)
| ( in(sk0_0(A),A)
& ~ subset(sk0_0(A),A) ) ) ),
inference(skolemization,[status(esa)],[f62]) ).
fof(f65,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sk0_0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f66,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ subset(sk0_0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f67,plain,
! [A] :
( epsilon_connected(A)
<=> ! [B,C] :
( ~ in(B,A)
| ~ in(C,A)
| in(B,C)
| B = C
| in(C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f68,plain,
! [A] :
( ( ~ epsilon_connected(A)
| ! [B,C] :
( ~ in(B,A)
| ~ in(C,A)
| in(B,C)
| B = C
| in(C,B) ) )
& ( epsilon_connected(A)
| ? [B,C] :
( in(B,A)
& in(C,A)
& ~ in(B,C)
& B != C
& ~ in(C,B) ) ) ),
inference(NNF_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
( ! [A] :
( ~ epsilon_connected(A)
| ! [B,C] :
( ~ in(B,A)
| ~ in(C,A)
| in(B,C)
| B = C
| in(C,B) ) )
& ! [A] :
( epsilon_connected(A)
| ? [B,C] :
( in(B,A)
& in(C,A)
& ~ in(B,C)
& B != C
& ~ in(C,B) ) ) ),
inference(miniscoping,[status(esa)],[f68]) ).
fof(f70,plain,
( ! [A] :
( ~ epsilon_connected(A)
| ! [B,C] :
( ~ in(B,A)
| ~ in(C,A)
| in(B,C)
| B = C
| in(C,B) ) )
& ! [A] :
( epsilon_connected(A)
| ( in(sk0_1(A),A)
& in(sk0_2(A),A)
& ~ in(sk0_1(A),sk0_2(A))
& sk0_1(A) != sk0_2(A)
& ~ in(sk0_2(A),sk0_1(A)) ) ) ),
inference(skolemization,[status(esa)],[f69]) ).
fof(f72,plain,
! [X0] :
( epsilon_connected(X0)
| in(sk0_1(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f73,plain,
! [X0] :
( epsilon_connected(X0)
| in(sk0_2(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f74,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sk0_1(X0),sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f75,plain,
! [X0] :
( epsilon_connected(X0)
| sk0_1(X0) != sk0_2(X0) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f76,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sk0_2(X0),sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f84,plain,
empty(empty_set),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f93,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f94,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f95,plain,
ordinal(empty_set),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f131,plain,
( ~ empty(sk0_13)
& epsilon_transitive(sk0_13)
& epsilon_connected(sk0_13)
& ordinal(sk0_13) ),
inference(skolemization,[status(esa)],[f25]) ).
fof(f132,plain,
~ empty(sk0_13),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f133,plain,
epsilon_transitive(sk0_13),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f134,plain,
epsilon_connected(sk0_13),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f135,plain,
ordinal(sk0_13),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f151,plain,
! [A] :
( ~ ordinal(A)
| ! [B] :
( ~ ordinal(B)
| in(A,B)
| A = B
| in(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f152,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| X0 = X1
| in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f151]) ).
fof(f155,plain,
? [A] :
( ! [B] :
( ~ in(B,A)
| ( ordinal(B)
& subset(B,A) ) )
& ~ ordinal(A) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f156,plain,
( ! [B] :
( ~ in(B,sk0_17)
| ( ordinal(B)
& subset(B,sk0_17) ) )
& ~ ordinal(sk0_17) ),
inference(skolemization,[status(esa)],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ in(X0,sk0_17)
| ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ in(X0,sk0_17)
| subset(X0,sk0_17) ),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f159,plain,
~ ordinal(sk0_17),
inference(cnf_transformation,[status(esa)],[f156]) ).
fof(f172,plain,
! [A,B] :
( ~ in(A,B)
| ~ empty(B) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f173,plain,
! [B] :
( ! [A] : ~ in(A,B)
| ~ empty(B) ),
inference(miniscoping,[status(esa)],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f179,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,empty_set)
| X0 = empty_set
| in(empty_set,X0) ),
inference(resolution,[status(thm)],[f152,f95]) ).
fof(f180,plain,
( spl0_0
<=> in(empty_set,empty_set) ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( in(empty_set,empty_set)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_1
<=> empty_set = empty_set ),
introduced(split_symbol_definition) ).
fof(f186,plain,
( in(empty_set,empty_set)
| empty_set = empty_set
| in(empty_set,empty_set) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f187,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f186,f180,f183]) ).
fof(f188,plain,
! [X0] : ~ in(X0,empty_set),
inference(resolution,[status(thm)],[f84,f174]) ).
fof(f190,plain,
! [X0] :
( ~ ordinal(X0)
| X0 = empty_set
| in(empty_set,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f179,f188]) ).
fof(f191,plain,
( $false
| ~ spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f181,f188]) ).
fof(f192,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f245,plain,
( spl0_6
<=> epsilon_transitive(empty_set) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( ~ epsilon_transitive(empty_set)
| spl0_6 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( spl0_7
<=> ordinal(empty_set) ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( ~ epsilon_transitive(empty_set)
| ordinal(empty_set) ),
inference(resolution,[status(thm)],[f55,f94]) ).
fof(f252,plain,
( ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f251,f245,f248]) ).
fof(f253,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f93]) ).
fof(f254,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f303,plain,
( spl0_14
<=> epsilon_transitive(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( ~ epsilon_transitive(sk0_13)
| spl0_14 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( spl0_15
<=> ordinal(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( ~ epsilon_transitive(sk0_13)
| ordinal(sk0_13) ),
inference(resolution,[status(thm)],[f134,f55]) ).
fof(f310,plain,
( ~ spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f309,f303,f306]) ).
fof(f311,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f133]) ).
fof(f312,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( spl0_16
<=> sk0_13 = empty_set ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( sk0_13 = empty_set
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sk0_13 != empty_set
| spl0_16 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( spl0_17
<=> in(empty_set,sk0_13) ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( sk0_13 = empty_set
| in(empty_set,sk0_13) ),
inference(resolution,[status(thm)],[f135,f190]) ).
fof(f320,plain,
( spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f319,f313,f316]) ).
fof(f321,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,sk0_13)
| X0 = sk0_13
| in(sk0_13,X0) ),
inference(resolution,[status(thm)],[f135,f152]) ).
fof(f327,plain,
( ~ empty(empty_set)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f314,f132]) ).
fof(f328,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f84]) ).
fof(f329,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f338,plain,
( spl0_19
<=> in(sk0_13,sk0_13) ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( in(sk0_13,sk0_13)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_20
<=> sk0_13 = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( in(sk0_13,sk0_13)
| sk0_13 = sk0_13
| in(sk0_13,sk0_13) ),
inference(resolution,[status(thm)],[f135,f321]) ).
fof(f345,plain,
( spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f344,f338,f341]) ).
fof(f349,plain,
( ~ in(sk0_13,sk0_13)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f339,f42]) ).
fof(f350,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f339]) ).
fof(f351,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f357,plain,
( spl0_21
<=> epsilon_transitive(sk0_17) ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( spl0_22
<=> ordinal(sk0_0(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( ordinal(sk0_0(sk0_17))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( epsilon_transitive(sk0_17)
| ordinal(sk0_0(sk0_17)) ),
inference(resolution,[status(thm)],[f65,f157]) ).
fof(f364,plain,
( spl0_21
| spl0_22 ),
inference(split_clause,[status(thm)],[f363,f357,f360]) ).
fof(f368,plain,
( spl0_23
<=> epsilon_connected(sk0_17) ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( epsilon_connected(sk0_17)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( ~ epsilon_connected(sk0_17)
| spl0_23 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( spl0_24
<=> ordinal(sk0_1(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f372,plain,
( ordinal(sk0_1(sk0_17))
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( epsilon_connected(sk0_17)
| ordinal(sk0_1(sk0_17)) ),
inference(resolution,[status(thm)],[f72,f157]) ).
fof(f375,plain,
( spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f374,f368,f371]) ).
fof(f377,plain,
( spl0_25
<=> ordinal(sk0_17) ),
introduced(split_symbol_definition) ).
fof(f378,plain,
( ordinal(sk0_17)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( ~ epsilon_transitive(sk0_17)
| ordinal(sk0_17)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f369,f55]) ).
fof(f381,plain,
( ~ spl0_21
| spl0_25
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f380,f357,f377,f368]) ).
fof(f382,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f159]) ).
fof(f383,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f382]) ).
fof(f407,plain,
( spl0_31
<=> in(sk0_0(sk0_17),sk0_13) ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( spl0_32
<=> sk0_0(sk0_17) = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f411,plain,
( sk0_0(sk0_17) = sk0_13
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( spl0_33
<=> in(sk0_13,sk0_0(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( in(sk0_13,sk0_0(sk0_17))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( in(sk0_0(sk0_17),sk0_13)
| sk0_0(sk0_17) = sk0_13
| in(sk0_13,sk0_0(sk0_17))
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f361,f321]) ).
fof(f417,plain,
( spl0_31
| spl0_32
| spl0_33
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f416,f407,f410,f413,f360]) ).
fof(f418,plain,
( spl0_34
<=> sk0_0(sk0_17) = empty_set ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( sk0_0(sk0_17) = empty_set
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_35
<=> in(empty_set,sk0_0(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( in(empty_set,sk0_0(sk0_17))
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sk0_0(sk0_17) = empty_set
| in(empty_set,sk0_0(sk0_17))
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f361,f190]) ).
fof(f425,plain,
( spl0_34
| spl0_35
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f424,f418,f421,f360]) ).
fof(f427,plain,
( in(empty_set,empty_set)
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f419,f422]) ).
fof(f428,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f188]) ).
fof(f429,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( in(sk0_13,empty_set)
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f419,f414]) ).
fof(f431,plain,
( $false
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f188]) ).
fof(f432,plain,
( ~ spl0_34
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f442,plain,
( spl0_36
<=> ordinal(sk0_2(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( ordinal(sk0_2(sk0_17))
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( epsilon_connected(sk0_17)
| ordinal(sk0_2(sk0_17)) ),
inference(resolution,[status(thm)],[f73,f157]) ).
fof(f446,plain,
( spl0_23
| spl0_36 ),
inference(split_clause,[status(thm)],[f445,f368,f442]) ).
fof(f448,plain,
( empty_set = sk0_13
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f419,f411]) ).
fof(f449,plain,
( $false
| spl0_16
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f315]) ).
fof(f450,plain,
( spl0_16
| ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f472,plain,
( spl0_38
<=> in(sk0_0(sk0_17),sk0_17) ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( ~ in(sk0_0(sk0_17),sk0_17)
| spl0_38 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( epsilon_transitive(sk0_17)
| ~ in(sk0_0(sk0_17),sk0_17) ),
inference(resolution,[status(thm)],[f66,f158]) ).
fof(f476,plain,
( spl0_21
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f475,f357,f472]) ).
fof(f501,plain,
( sk0_1(sk0_17) != sk0_2(sk0_17)
| spl0_23 ),
inference(resolution,[status(thm)],[f370,f75]) ).
fof(f544,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,sk0_2(sk0_17))
| X0 = sk0_2(sk0_17)
| in(sk0_2(sk0_17),X0)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f443,f152]) ).
fof(f675,plain,
( spl0_60
<=> in(sk0_1(sk0_17),sk0_2(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( in(sk0_1(sk0_17),sk0_2(sk0_17))
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_61
<=> sk0_1(sk0_17) = sk0_2(sk0_17) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( sk0_1(sk0_17) = sk0_2(sk0_17)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_62
<=> in(sk0_2(sk0_17),sk0_1(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( in(sk0_2(sk0_17),sk0_1(sk0_17))
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( in(sk0_1(sk0_17),sk0_2(sk0_17))
| sk0_1(sk0_17) = sk0_2(sk0_17)
| in(sk0_2(sk0_17),sk0_1(sk0_17))
| ~ spl0_36
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f544,f372]) ).
fof(f685,plain,
( spl0_60
| spl0_61
| spl0_62
| ~ spl0_36
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f684,f675,f678,f681,f442,f371]) ).
fof(f686,plain,
( spl0_63
<=> in(sk0_2(sk0_17),sk0_2(sk0_17)) ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( in(sk0_2(sk0_17),sk0_2(sk0_17))
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f698,plain,
( $false
| spl0_23
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f501]) ).
fof(f699,plain,
( spl0_23
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( ~ in(sk0_2(sk0_17),sk0_2(sk0_17))
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f687,f42]) ).
fof(f701,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f687]) ).
fof(f702,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( epsilon_connected(sk0_17)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f682,f76]) ).
fof(f704,plain,
( spl0_23
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f703,f368,f681]) ).
fof(f708,plain,
( epsilon_connected(sk0_17)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f676,f74]) ).
fof(f709,plain,
( spl0_23
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f708,f368,f675]) ).
fof(f713,plain,
( epsilon_transitive(sk0_17)
| spl0_38 ),
inference(resolution,[status(thm)],[f474,f65]) ).
fof(f714,plain,
( spl0_21
| spl0_38 ),
inference(split_clause,[status(thm)],[f713,f357,f472]) ).
fof(f719,plain,
$false,
inference(sat_refutation,[status(thm)],[f187,f192,f252,f254,f310,f312,f320,f329,f345,f351,f364,f375,f381,f383,f417,f425,f429,f432,f446,f450,f476,f685,f699,f702,f704,f709,f714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEU234+3 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25 % Computer : n003.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon Apr 29 19:51:33 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.6.0
% 0.10/0.32 % Refutation found
% 0.10/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.33 % Elapsed time: 0.073513 seconds
% 0.10/0.33 % CPU time: 0.495610 seconds
% 0.10/0.33 % Total memory used: 61.631 MB
% 0.10/0.33 % Net memory used: 61.127 MB
%------------------------------------------------------------------------------