TSTP Solution File: SEU234+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 0.22s 0.47s
% Output : CNFRefutation 0.22s
% 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/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( ( epsilon_transitive(A)
& epsilon_connected(A) )
=> ordinal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( in(B,A)
=> subset(B,A) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,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/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
? [A] :
( ~ empty(A)
& epsilon_transitive(A)
& epsilon_connected(A)
& ordinal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ in(A,B)
& A != B
& ~ in(B,A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f41,axiom,
! [A,B] :
~ ( in(A,B)
& empty(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f44,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f56,plain,
! [A] :
( ~ epsilon_transitive(A)
| ~ epsilon_connected(A)
| ordinal(A) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f57,plain,
! [X0] :
( ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0)
| ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f62,plain,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( ~ in(B,A)
| subset(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f63,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)],[f62]) ).
fof(f64,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)],[f63]) ).
fof(f65,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)],[f64]) ).
fof(f67,plain,
! [X0] :
( epsilon_transitive(X0)
| in(sk0_0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f68,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ subset(sk0_0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,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(f70,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)],[f69]) ).
fof(f71,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)],[f70]) ).
fof(f72,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)],[f71]) ).
fof(f74,plain,
! [X0] :
( epsilon_connected(X0)
| in(sk0_1(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f75,plain,
! [X0] :
( epsilon_connected(X0)
| in(sk0_2(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f76,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sk0_1(X0),sk0_2(X0)) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f77,plain,
! [X0] :
( epsilon_connected(X0)
| sk0_1(X0) != sk0_2(X0) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f78,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sk0_2(X0),sk0_1(X0)) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f86,plain,
empty(empty_set),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f95,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f96,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f97,plain,
ordinal(empty_set),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f133,plain,
( ~ empty(sk0_13)
& epsilon_transitive(sk0_13)
& epsilon_connected(sk0_13)
& ordinal(sk0_13) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f134,plain,
~ empty(sk0_13),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f135,plain,
epsilon_transitive(sk0_13),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f136,plain,
epsilon_connected(sk0_13),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f137,plain,
ordinal(sk0_13),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f149,plain,
! [A] :
( ~ ordinal(A)
| ! [B] :
( ~ ordinal(B)
| in(A,B)
| A = B
| in(B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f33]) ).
fof(f150,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X0,X1)
| X0 = X1
| in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
fof(f153,plain,
? [A] :
( ! [B] :
( ~ in(B,A)
| ( ordinal(B)
& subset(B,A) ) )
& ~ ordinal(A) ),
inference(pre_NNF_transformation,[status(esa)],[f36]) ).
fof(f154,plain,
( ! [B] :
( ~ in(B,sk0_16)
| ( ordinal(B)
& subset(B,sk0_16) ) )
& ~ ordinal(sk0_16) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f155,plain,
! [X0] :
( ~ in(X0,sk0_16)
| ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ in(X0,sk0_16)
| subset(X0,sk0_16) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f157,plain,
~ ordinal(sk0_16),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f170,plain,
! [A,B] :
( ~ in(A,B)
| ~ empty(B) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f171,plain,
! [B] :
( ! [A] : ~ in(A,B)
| ~ empty(B) ),
inference(miniscoping,[status(esa)],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[status(esa)],[f171]) ).
fof(f177,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,empty_set)
| X0 = empty_set
| in(empty_set,X0) ),
inference(resolution,[status(thm)],[f150,f97]) ).
fof(f178,plain,
( spl0_0
<=> in(empty_set,empty_set) ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( in(empty_set,empty_set)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( spl0_1
<=> empty_set = empty_set ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( in(empty_set,empty_set)
| empty_set = empty_set
| in(empty_set,empty_set) ),
inference(resolution,[status(thm)],[f177,f97]) ).
fof(f185,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f184,f178,f181]) ).
fof(f186,plain,
! [X0] : ~ in(X0,empty_set),
inference(resolution,[status(thm)],[f86,f172]) ).
fof(f188,plain,
! [X0] :
( ~ ordinal(X0)
| X0 = empty_set
| in(empty_set,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f177,f186]) ).
fof(f189,plain,
( $false
| ~ spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f179,f186]) ).
fof(f190,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f243,plain,
( spl0_6
<=> epsilon_transitive(empty_set) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( ~ epsilon_transitive(empty_set)
| spl0_6 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( spl0_7
<=> ordinal(empty_set) ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( ~ epsilon_transitive(empty_set)
| ordinal(empty_set) ),
inference(resolution,[status(thm)],[f57,f96]) ).
fof(f250,plain,
( ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f249,f243,f246]) ).
fof(f251,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f95]) ).
fof(f252,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f301,plain,
( spl0_14
<=> epsilon_transitive(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( ~ epsilon_transitive(sk0_13)
| spl0_14 ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( spl0_15
<=> ordinal(sk0_13) ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( ~ epsilon_transitive(sk0_13)
| ordinal(sk0_13) ),
inference(resolution,[status(thm)],[f136,f57]) ).
fof(f308,plain,
( ~ spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f307,f301,f304]) ).
fof(f309,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f135]) ).
fof(f310,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( spl0_16
<=> sk0_13 = empty_set ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( sk0_13 = empty_set
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sk0_13 != empty_set
| spl0_16 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_17
<=> in(empty_set,sk0_13) ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( sk0_13 = empty_set
| in(empty_set,sk0_13) ),
inference(resolution,[status(thm)],[f137,f188]) ).
fof(f318,plain,
( spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f317,f311,f314]) ).
fof(f319,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,sk0_13)
| X0 = sk0_13
| in(sk0_13,X0) ),
inference(resolution,[status(thm)],[f137,f150]) ).
fof(f325,plain,
( ~ empty(empty_set)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f312,f134]) ).
fof(f326,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f325,f86]) ).
fof(f327,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f336,plain,
( spl0_19
<=> in(sk0_13,sk0_13) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( in(sk0_13,sk0_13)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( spl0_20
<=> sk0_13 = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( in(sk0_13,sk0_13)
| sk0_13 = sk0_13
| in(sk0_13,sk0_13) ),
inference(resolution,[status(thm)],[f137,f319]) ).
fof(f343,plain,
( spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f342,f336,f339]) ).
fof(f347,plain,
( ~ in(sk0_13,sk0_13)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f337,f44]) ).
fof(f348,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f337]) ).
fof(f349,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f348]) ).
fof(f355,plain,
( spl0_21
<=> epsilon_transitive(sk0_16) ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( spl0_22
<=> ordinal(sk0_0(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( ordinal(sk0_0(sk0_16))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( epsilon_transitive(sk0_16)
| ordinal(sk0_0(sk0_16)) ),
inference(resolution,[status(thm)],[f67,f155]) ).
fof(f362,plain,
( spl0_21
| spl0_22 ),
inference(split_clause,[status(thm)],[f361,f355,f358]) ).
fof(f366,plain,
( spl0_23
<=> epsilon_connected(sk0_16) ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( epsilon_connected(sk0_16)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( ~ epsilon_connected(sk0_16)
| spl0_23 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_24
<=> ordinal(sk0_1(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( ordinal(sk0_1(sk0_16))
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( epsilon_connected(sk0_16)
| ordinal(sk0_1(sk0_16)) ),
inference(resolution,[status(thm)],[f74,f155]) ).
fof(f373,plain,
( spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f372,f366,f369]) ).
fof(f375,plain,
( spl0_25
<=> ordinal(sk0_16) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( ordinal(sk0_16)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( ~ epsilon_transitive(sk0_16)
| ordinal(sk0_16)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f367,f57]) ).
fof(f379,plain,
( ~ spl0_21
| spl0_25
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f378,f355,f375,f366]) ).
fof(f380,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f157]) ).
fof(f381,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f380]) ).
fof(f405,plain,
( spl0_31
<=> in(sk0_0(sk0_16),sk0_13) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( spl0_32
<=> sk0_0(sk0_16) = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( sk0_0(sk0_16) = sk0_13
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_33
<=> in(sk0_13,sk0_0(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( in(sk0_13,sk0_0(sk0_16))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( in(sk0_0(sk0_16),sk0_13)
| sk0_0(sk0_16) = sk0_13
| in(sk0_13,sk0_0(sk0_16))
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f359,f319]) ).
fof(f415,plain,
( spl0_31
| spl0_32
| spl0_33
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f414,f405,f408,f411,f358]) ).
fof(f416,plain,
( spl0_34
<=> sk0_0(sk0_16) = empty_set ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( sk0_0(sk0_16) = empty_set
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_35
<=> in(empty_set,sk0_0(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( in(empty_set,sk0_0(sk0_16))
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sk0_0(sk0_16) = empty_set
| in(empty_set,sk0_0(sk0_16))
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f359,f188]) ).
fof(f423,plain,
( spl0_34
| spl0_35
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f422,f416,f419,f358]) ).
fof(f425,plain,
( in(empty_set,empty_set)
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f417,f420]) ).
fof(f426,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f186]) ).
fof(f427,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( in(sk0_13,empty_set)
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f417,f412]) ).
fof(f429,plain,
( $false
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f186]) ).
fof(f430,plain,
( ~ spl0_34
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f429]) ).
fof(f440,plain,
( spl0_36
<=> ordinal(sk0_2(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( ordinal(sk0_2(sk0_16))
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( epsilon_connected(sk0_16)
| ordinal(sk0_2(sk0_16)) ),
inference(resolution,[status(thm)],[f75,f155]) ).
fof(f444,plain,
( spl0_23
| spl0_36 ),
inference(split_clause,[status(thm)],[f443,f366,f440]) ).
fof(f446,plain,
( empty_set = sk0_13
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f417,f409]) ).
fof(f447,plain,
( $false
| spl0_16
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f313]) ).
fof(f448,plain,
( spl0_16
| ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f470,plain,
( spl0_38
<=> in(sk0_0(sk0_16),sk0_16) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( ~ in(sk0_0(sk0_16),sk0_16)
| spl0_38 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( epsilon_transitive(sk0_16)
| ~ in(sk0_0(sk0_16),sk0_16) ),
inference(resolution,[status(thm)],[f68,f156]) ).
fof(f474,plain,
( spl0_21
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f473,f355,f470]) ).
fof(f504,plain,
( sk0_1(sk0_16) != sk0_2(sk0_16)
| spl0_23 ),
inference(resolution,[status(thm)],[f368,f77]) ).
fof(f547,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,sk0_2(sk0_16))
| X0 = sk0_2(sk0_16)
| in(sk0_2(sk0_16),X0)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f441,f150]) ).
fof(f678,plain,
( spl0_60
<=> in(sk0_1(sk0_16),sk0_2(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( in(sk0_1(sk0_16),sk0_2(sk0_16))
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_61
<=> sk0_1(sk0_16) = sk0_2(sk0_16) ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( sk0_1(sk0_16) = sk0_2(sk0_16)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_62
<=> in(sk0_2(sk0_16),sk0_1(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( in(sk0_2(sk0_16),sk0_1(sk0_16))
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( in(sk0_1(sk0_16),sk0_2(sk0_16))
| sk0_1(sk0_16) = sk0_2(sk0_16)
| in(sk0_2(sk0_16),sk0_1(sk0_16))
| ~ spl0_36
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f547,f370]) ).
fof(f688,plain,
( spl0_60
| spl0_61
| spl0_62
| ~ spl0_36
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f687,f678,f681,f684,f440,f369]) ).
fof(f689,plain,
( spl0_63
<=> in(sk0_2(sk0_16),sk0_2(sk0_16)) ),
introduced(split_symbol_definition) ).
fof(f690,plain,
( in(sk0_2(sk0_16),sk0_2(sk0_16))
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f701,plain,
( $false
| spl0_23
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f504]) ).
fof(f702,plain,
( spl0_23
| ~ spl0_61 ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( ~ in(sk0_2(sk0_16),sk0_2(sk0_16))
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f690,f44]) ).
fof(f704,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f690]) ).
fof(f705,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( epsilon_connected(sk0_16)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f685,f78]) ).
fof(f707,plain,
( spl0_23
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f706,f366,f684]) ).
fof(f711,plain,
( epsilon_connected(sk0_16)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f679,f76]) ).
fof(f712,plain,
( spl0_23
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f711,f366,f678]) ).
fof(f716,plain,
( epsilon_transitive(sk0_16)
| spl0_38 ),
inference(resolution,[status(thm)],[f472,f67]) ).
fof(f717,plain,
( spl0_21
| spl0_38 ),
inference(split_clause,[status(thm)],[f716,f355,f470]) ).
fof(f722,plain,
$false,
inference(sat_refutation,[status(thm)],[f185,f190,f250,f252,f308,f310,f318,f327,f343,f349,f362,f373,f379,f381,f415,f423,f427,f430,f444,f448,f474,f688,f702,f705,f707,f712,f717]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:23:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.22/0.47 % Refutation found
% 0.22/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.48 % Elapsed time: 0.122814 seconds
% 0.22/0.48 % CPU time: 0.881611 seconds
% 0.22/0.48 % Total memory used: 62.872 MB
% 0.22/0.48 % Net memory used: 62.212 MB
%------------------------------------------------------------------------------