TSTP Solution File: SEU043+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU043+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 : 600s
% DateTime : Tue Jul 19 09:16:33 EDT 2022
% Result : Theorem 0.84s 116.00s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 6
% Syntax : Number of formulae : 141 ( 19 unt; 0 def)
% Number of atoms : 535 ( 166 equ)
% Maximal formula atoms : 43 ( 3 avg)
% Number of connectives : 592 ( 198 ~; 332 |; 39 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 149 ( 19 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t85_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t85_funct_1) ).
fof(d12_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_rng_restriction(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ( in(X5,X1)
& in(ordered_pair(X4,X5),X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_relat_1) ).
fof(t8_funct_1,axiom,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(ordered_pair(X1,X2),X3)
<=> ( in(X1,relation_dom(X3))
& X2 = apply(X3,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_relat_1) ).
fof(fc5_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc5_funct_1) ).
fof(d4_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_funct_1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t85_funct_1]) ).
fof(c_0_7,plain,
! [X6,X7,X8,X9,X10,X9,X10] :
( ( in(X10,X6)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(X9,X10),X7)
| ~ in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(X10,X6)
| ~ in(ordered_pair(X9,X10),X7)
| in(ordered_pair(X9,X10),X8)
| X8 != relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( ~ in(ordered_pair(esk9_3(X6,X7,X8),esk10_3(X6,X7,X8)),X8)
| ~ in(esk10_3(X6,X7,X8),X6)
| ~ in(ordered_pair(esk9_3(X6,X7,X8),esk10_3(X6,X7,X8)),X7)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(esk10_3(X6,X7,X8),X6)
| in(ordered_pair(esk9_3(X6,X7,X8),esk10_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) )
& ( in(ordered_pair(esk9_3(X6,X7,X8),esk10_3(X6,X7,X8)),X7)
| in(ordered_pair(esk9_3(X6,X7,X8),esk10_3(X6,X7,X8)),X8)
| X8 = relation_rng_restriction(X6,X7)
| ~ relation(X8)
| ~ relation(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_1])])])])])])]) ).
fof(c_0_8,negated_conjecture,
! [X10,X10,X11] :
( relation(esk2_0)
& function(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& ( in(esk5_0,relation_dom(esk2_0))
| ~ in(esk4_0,relation_dom(esk2_0))
| ~ in(esk4_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0)
| ~ in(esk4_0,relation_dom(esk2_0))
| ~ in(esk4_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( in(esk5_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| in(esk4_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0)
| in(esk4_0,relation_dom(esk3_0))
| in(esk4_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( in(esk5_0,relation_dom(esk2_0))
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0)
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) )
& ( in(X10,relation_dom(esk3_0))
| ~ in(X10,relation_dom(esk2_0))
| esk2_0 = relation_rng_restriction(esk1_0,esk3_0) )
& ( in(apply(esk3_0,X10),esk1_0)
| ~ in(X10,relation_dom(esk2_0))
| esk2_0 = relation_rng_restriction(esk1_0,esk3_0) )
& ( ~ in(X10,relation_dom(esk3_0))
| ~ in(apply(esk3_0,X10),esk1_0)
| in(X10,relation_dom(esk2_0))
| esk2_0 = relation_rng_restriction(esk1_0,esk3_0) )
& ( ~ in(X11,relation_dom(esk2_0))
| apply(esk2_0,X11) = apply(esk3_0,X11)
| esk2_0 = relation_rng_restriction(esk1_0,esk3_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).
cnf(c_0_9,plain,
( X2 = relation_rng_restriction(X3,X1)
| in(ordered_pair(esk9_3(X3,X1,X2),esk10_3(X3,X1,X2)),X2)
| in(ordered_pair(esk9_3(X3,X1,X2),esk10_3(X3,X1,X2)),X1)
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ( in(X4,relation_dom(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) )
& ( X5 = apply(X6,X4)
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X4,relation_dom(X6))
| X5 != apply(X6,X4)
| in(ordered_pair(X4,X5),X6)
| ~ relation(X6)
| ~ function(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_funct_1])])]) ).
cnf(c_0_12,negated_conjecture,
( relation_rng_restriction(X1,X2) = esk2_0
| in(ordered_pair(esk9_3(X1,X2,esk2_0),esk10_3(X1,X2,esk2_0)),esk2_0)
| in(ordered_pair(esk9_3(X1,X2,esk2_0),esk10_3(X1,X2,esk2_0)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( relation_rng_restriction(X1,esk2_0) = esk2_0
| in(ordered_pair(esk9_3(X1,esk2_0,esk2_0),esk10_3(X1,esk2_0,esk2_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( esk2_0 = relation_rng_restriction(esk1_0,esk3_0)
| in(apply(esk3_0,X1),esk1_0)
| ~ in(X1,relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
( relation_rng_restriction(X1,esk2_0) = esk2_0
| in(esk9_3(X1,esk2_0,esk2_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_10]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
( esk2_0 = relation_rng_restriction(esk1_0,esk3_0)
| apply(esk2_0,X1) = apply(esk3_0,X1)
| ~ in(X1,relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
( X2 = relation_rng_restriction(X3,X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(ordered_pair(esk9_3(X3,X1,X2),esk10_3(X3,X1,X2)),X1)
| ~ in(esk10_3(X3,X1,X2),X3)
| ~ in(ordered_pair(esk9_3(X3,X1,X2),esk10_3(X3,X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| relation_rng_restriction(X1,esk2_0) = esk2_0
| in(apply(esk3_0,esk9_3(X1,esk2_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk3_0,esk9_3(X1,esk2_0,esk2_0)) = apply(esk2_0,esk9_3(X1,esk2_0,esk2_0))
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| relation_rng_restriction(X1,esk2_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
( relation_rng_restriction(X1,esk2_0) = esk2_0
| ~ in(ordered_pair(esk9_3(X1,esk2_0,esk2_0),esk10_3(X1,esk2_0,esk2_0)),esk2_0)
| ~ in(esk10_3(X1,esk2_0,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| relation_rng_restriction(X1,esk2_0) = esk2_0
| in(apply(esk2_0,esk9_3(X1,esk2_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( apply(esk2_0,esk9_3(X1,esk2_0,esk2_0)) = esk10_3(X1,esk2_0,esk2_0)
| relation_rng_restriction(X1,esk2_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_10]),c_0_15])]) ).
cnf(c_0_26,plain,
( X2 = relation_rng_restriction(X3,X1)
| in(ordered_pair(esk9_3(X3,X1,X2),esk10_3(X3,X1,X2)),X2)
| in(esk10_3(X3,X1,X2),X3)
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( in(X5,X3)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_rng_restriction(X3,X1)
| ~ in(ordered_pair(X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( relation_rng_restriction(X1,esk2_0) = esk2_0
| ~ in(esk10_3(X1,esk2_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_29,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| relation_rng_restriction(X1,esk2_0) = esk2_0
| in(esk10_3(X1,esk2_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( relation_rng_restriction(X1,X2) = esk2_0
| in(ordered_pair(esk9_3(X1,X2,esk2_0),esk10_3(X1,X2,esk2_0)),esk2_0)
| in(esk10_3(X1,X2,esk2_0),X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_10]) ).
cnf(c_0_31,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( relation_rng_restriction(X1,esk2_0) = esk2_0
| in(esk10_3(X1,esk2_0,esk2_0),X2)
| relation_rng_restriction(X2,X3) != esk2_0
| ~ relation(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_10])]) ).
cnf(c_0_33,negated_conjecture,
( relation_rng_restriction(esk1_0,esk2_0) = esk2_0
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),esk2_0)
| in(esk10_3(X1,esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( relation_rng_restriction(esk1_0,esk2_0) = esk2_0
| relation_rng_restriction(X1,esk2_0) = esk2_0
| in(esk10_3(X1,esk2_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]) ).
cnf(c_0_36,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(esk10_3(X1,esk3_0,esk2_0),X2)
| in(esk10_3(X1,esk3_0,esk2_0),X1)
| relation_rng_restriction(X2,X3) != esk2_0
| ~ relation(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
relation_rng_restriction(esk1_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_38,plain,
( in(ordered_pair(X4,X5),X2)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_rng_restriction(X3,X1)
| ~ in(ordered_pair(X4,X5),X1)
| ~ in(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),esk2_0)
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(esk10_3(X1,esk3_0,esk2_0),esk1_0)
| in(esk10_3(X1,esk3_0,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_10])]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ~ relation(X4)
| relation(relation_rng_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_42,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),esk2_0)
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),X2)
| X2 != relation_rng_restriction(X3,esk3_0)
| ~ relation(X2)
| ~ in(esk10_3(X1,esk3_0,esk2_0),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31])]) ).
cnf(c_0_43,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk10_3(esk1_0,esk3_0,esk2_0),esk1_0) ),
inference(ef,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_45,plain,
! [X3,X4] :
( ( relation(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) )
& ( function(relation_rng_restriction(X3,X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])]) ).
cnf(c_0_46,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk2_0)
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),X1)
| X1 != relation_rng_restriction(esk1_0,esk3_0)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
relation(relation_rng_restriction(X1,esk3_0)),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_48,plain,
( function(relation_rng_restriction(X2,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_49,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_50,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),relation_rng_restriction(esk1_0,esk3_0))
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_47])]) ).
cnf(c_0_51,negated_conjecture,
function(relation_rng_restriction(X1,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_49])]) ).
fof(c_0_52,plain,
! [X4,X5,X6,X6,X5,X6,X6] :
( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != apply(X4,X5)
| X6 = empty_set
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != empty_set
| X6 = apply(X4,X5)
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_funct_1])])])])])])]) ).
cnf(c_0_53,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk2_0)
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(relation_rng_restriction(esk1_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_50]),c_0_47]),c_0_51])]) ).
cnf(c_0_54,plain,
( in(ordered_pair(X2,X3),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| X3 != apply(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(relation_rng_restriction(esk1_0,esk3_0)))
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_53]),c_0_10]),c_0_15])]) ).
cnf(c_0_56,negated_conjecture,
( apply(relation_rng_restriction(esk1_0,esk3_0),esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_50]),c_0_47]),c_0_51])]) ).
cnf(c_0_57,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),X1),relation_rng_restriction(esk1_0,esk3_0))
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0))
| X1 != apply(relation_rng_restriction(esk1_0,esk3_0),esk9_3(esk1_0,esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_47]),c_0_51])]) ).
cnf(c_0_58,negated_conjecture,
( apply(relation_rng_restriction(esk1_0,esk3_0),esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_56]),c_0_10]),c_0_15])]) ).
cnf(c_0_59,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),X1),relation_rng_restriction(esk1_0,esk3_0))
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0))
| X1 != esk10_3(esk1_0,esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( in(ordered_pair(X4,X5),X1)
| ~ relation(X1)
| ~ relation(X2)
| X2 != relation_rng_restriction(X3,X1)
| ~ in(ordered_pair(X4,X5),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_61,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),relation_rng_restriction(esk1_0,esk3_0))
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),X1)
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0))
| relation_rng_restriction(esk1_0,esk3_0) != relation_rng_restriction(X2,X1)
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_47])]) ).
cnf(c_0_63,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk3_0)
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_31])]) ).
cnf(c_0_64,negated_conjecture,
( esk2_0 = relation_rng_restriction(esk1_0,esk3_0)
| in(X1,relation_dom(esk2_0))
| ~ in(apply(esk3_0,X1),esk1_0)
| ~ in(X1,relation_dom(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,negated_conjecture,
( apply(esk3_0,esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_63]),c_0_31]),c_0_49])]) ).
cnf(c_0_66,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0))
| ~ in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk3_0))
| ~ in(esk10_3(esk1_0,esk3_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(X1,esk3_0,esk2_0),esk10_3(X1,esk3_0,esk2_0)),esk2_0)
| in(esk9_3(X1,esk3_0,esk2_0),relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_39]),c_0_31]),c_0_49])]) ).
cnf(c_0_68,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0))
| ~ in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_43]) ).
cnf(c_0_69,negated_conjecture,
( relation_rng_restriction(X1,esk3_0) = esk2_0
| in(esk9_3(X1,esk3_0,esk2_0),relation_dom(esk2_0))
| in(esk9_3(X1,esk3_0,esk2_0),relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_67]),c_0_10]),c_0_15])]) ).
cnf(c_0_70,negated_conjecture,
( esk2_0 = relation_rng_restriction(esk1_0,esk3_0)
| in(X1,relation_dom(esk3_0))
| ~ in(X1,relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_71,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk2_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(esk9_3(esk1_0,esk3_0,esk2_0),relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_73,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),X1),esk3_0)
| X1 != apply(esk3_0,esk9_3(esk1_0,esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_72]),c_0_31]),c_0_49])]) ).
cnf(c_0_74,negated_conjecture,
( apply(esk3_0,esk9_3(esk1_0,esk3_0,esk2_0)) = apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),X1),esk3_0)
| X1 != apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_76,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))),esk3_0) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(apply(esk3_0,esk9_3(esk1_0,esk3_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))),X1)
| X1 != relation_rng_restriction(X2,esk3_0)
| ~ relation(X1)
| ~ in(apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_76]),c_0_31])]) ).
cnf(c_0_79,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))),X1)
| X1 != relation_rng_restriction(esk1_0,esk3_0)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_81,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))),relation_rng_restriction(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_80]),c_0_47])]) ).
cnf(c_0_82,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),X1),esk2_0)
| X1 != apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_71]),c_0_10]),c_0_15])]) ).
cnf(c_0_83,negated_conjecture,
( apply(relation_rng_restriction(esk1_0,esk3_0),esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_56]),c_0_10]),c_0_15])]) ).
cnf(c_0_84,negated_conjecture,
( apply(relation_rng_restriction(esk1_0,esk3_0),esk9_3(esk1_0,esk3_0,esk2_0)) = apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_81]),c_0_47]),c_0_51])]) ).
cnf(c_0_85,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0))),esk2_0) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( apply(esk2_0,esk9_3(esk1_0,esk3_0,esk2_0)) = esk10_3(esk1_0,esk3_0,esk2_0)
| relation_rng_restriction(esk1_0,esk3_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_88,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| ~ in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk3_0)
| ~ in(esk10_3(esk1_0,esk3_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_87]),c_0_10]),c_0_31])]) ).
cnf(c_0_89,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| ~ in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_43]) ).
cnf(c_0_90,negated_conjecture,
( relation_rng_restriction(esk1_0,esk3_0) = esk2_0
| in(ordered_pair(esk9_3(esk1_0,esk3_0,esk2_0),esk10_3(esk1_0,esk3_0,esk2_0)),esk3_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| in(esk5_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_92,negated_conjecture,
relation_rng_restriction(esk1_0,esk3_0) = esk2_0,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| in(esk5_0,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_94,negated_conjecture,
( in(ordered_pair(esk5_0,X1),esk2_0)
| in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| X1 != apply(esk2_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_93]),c_0_10]),c_0_15])]) ).
cnf(c_0_95,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk2_0)
| in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0)) ),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk5_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_97,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),X1)
| in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| relation_rng_restriction(X2,X1) != esk2_0
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_95]),c_0_10])]) ).
cnf(c_0_98,negated_conjecture,
( in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0))
| in(esk5_0,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_92])]) ).
cnf(c_0_99,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0)
| apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_100,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk3_0)
| in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_92]),c_0_31])]) ).
cnf(c_0_101,negated_conjecture,
( in(apply(esk3_0,esk4_0),esk1_0)
| in(ordered_pair(esk5_0,X1),esk2_0)
| in(esk4_0,relation_dom(esk2_0))
| X1 != apply(esk2_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_98]),c_0_10]),c_0_15])]) ).
cnf(c_0_102,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0))
| apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_92])]) ).
cnf(c_0_103,negated_conjecture,
( apply(esk3_0,esk5_0) = apply(esk2_0,esk5_0)
| in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_100]),c_0_31]),c_0_49])]) ).
cnf(c_0_104,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk2_0)
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(esk4_0,relation_dom(esk3_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),X1)
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0))
| relation_rng_restriction(X2,X1) != esk2_0
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_104]),c_0_10])]) ).
cnf(c_0_107,negated_conjecture,
( in(ordered_pair(esk4_0,X1),esk3_0)
| in(esk4_0,relation_dom(esk2_0))
| X1 != apply(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_105]),c_0_31]),c_0_49])]) ).
cnf(c_0_108,negated_conjecture,
( in(esk4_0,relation_dom(esk2_0))
| in(apply(esk3_0,esk4_0),esk1_0)
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0)
| apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_109,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk3_0)
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_92]),c_0_31])]) ).
cnf(c_0_110,negated_conjecture,
( in(ordered_pair(esk4_0,apply(esk3_0,esk4_0)),esk3_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_111,negated_conjecture,
( in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0))
| apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_92])]) ).
cnf(c_0_112,negated_conjecture,
( apply(esk3_0,esk5_0) = apply(esk2_0,esk5_0)
| in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_109]),c_0_31]),c_0_49])]) ).
cnf(c_0_113,negated_conjecture,
( in(ordered_pair(esk4_0,apply(esk3_0,esk4_0)),X1)
| in(esk4_0,relation_dom(esk2_0))
| X1 != relation_rng_restriction(X2,esk3_0)
| ~ relation(X1)
| ~ in(apply(esk3_0,esk4_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_110]),c_0_31])]) ).
cnf(c_0_114,negated_conjecture,
( in(apply(esk3_0,esk4_0),esk1_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( in(ordered_pair(esk4_0,apply(esk3_0,esk4_0)),X1)
| in(esk4_0,relation_dom(esk2_0))
| X1 != esk2_0
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_92]) ).
cnf(c_0_116,negated_conjecture,
( in(ordered_pair(esk4_0,apply(esk3_0,esk4_0)),esk2_0)
| in(esk4_0,relation_dom(esk2_0)) ),
inference(spm,[status(thm)],[c_0_115,c_0_10]) ).
cnf(c_0_117,negated_conjecture,
in(esk4_0,relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_116]),c_0_10]),c_0_15])]) ).
cnf(c_0_118,negated_conjecture,
( in(ordered_pair(esk4_0,X1),esk2_0)
| X1 != apply(esk2_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_117]),c_0_10]),c_0_15])]) ).
cnf(c_0_119,negated_conjecture,
in(ordered_pair(esk4_0,apply(esk2_0,esk4_0)),esk2_0),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_120,negated_conjecture,
( in(esk5_0,relation_dom(esk2_0))
| esk2_0 != relation_rng_restriction(esk1_0,esk3_0)
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk3_0))
| ~ in(esk4_0,relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_121,negated_conjecture,
( in(ordered_pair(esk4_0,apply(esk2_0,esk4_0)),X1)
| relation_rng_restriction(X2,X1) != esk2_0
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_119]),c_0_10])]) ).
cnf(c_0_122,negated_conjecture,
( in(esk5_0,relation_dom(esk2_0))
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk2_0))
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_92])]) ).
cnf(c_0_123,negated_conjecture,
in(ordered_pair(esk4_0,apply(esk2_0,esk4_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_92]),c_0_31])]) ).
cnf(c_0_124,negated_conjecture,
( in(esk5_0,relation_dom(esk2_0))
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_117])]) ).
cnf(c_0_125,negated_conjecture,
in(esk4_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_123]),c_0_31]),c_0_49])]) ).
cnf(c_0_126,negated_conjecture,
( in(apply(esk2_0,esk4_0),X1)
| relation_rng_restriction(X1,X2) != esk2_0
| ~ relation(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_119]),c_0_10])]) ).
cnf(c_0_127,negated_conjecture,
( in(esk5_0,relation_dom(esk2_0))
| ~ in(apply(esk3_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_128,negated_conjecture,
apply(esk3_0,esk4_0) = apply(esk2_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_123]),c_0_31]),c_0_49])]) ).
cnf(c_0_129,negated_conjecture,
in(apply(esk2_0,esk4_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_92]),c_0_31])]) ).
cnf(c_0_130,negated_conjecture,
in(esk5_0,relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_131,negated_conjecture,
( esk2_0 != relation_rng_restriction(esk1_0,esk3_0)
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk3_0))
| ~ in(esk4_0,relation_dom(esk2_0))
| apply(esk2_0,esk5_0) != apply(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_132,negated_conjecture,
( in(ordered_pair(esk5_0,X1),esk2_0)
| X1 != apply(esk2_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_130]),c_0_10]),c_0_15])]) ).
cnf(c_0_133,negated_conjecture,
( apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0)
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk2_0))
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_92])]) ).
cnf(c_0_134,negated_conjecture,
in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk2_0),
inference(er,[status(thm)],[c_0_132]) ).
cnf(c_0_135,negated_conjecture,
( apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0)
| ~ in(apply(esk3_0,esk4_0),esk1_0)
| ~ in(esk4_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_117])]) ).
cnf(c_0_136,negated_conjecture,
( in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),X1)
| relation_rng_restriction(X2,X1) != esk2_0
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_134]),c_0_10])]) ).
cnf(c_0_137,negated_conjecture,
( apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0)
| ~ in(apply(esk3_0,esk4_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_125])]) ).
cnf(c_0_138,negated_conjecture,
in(ordered_pair(esk5_0,apply(esk2_0,esk5_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_92]),c_0_31])]) ).
cnf(c_0_139,negated_conjecture,
apply(esk3_0,esk5_0) != apply(esk2_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_128]),c_0_129])]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_138]),c_0_31]),c_0_49])]),c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU043+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 04:17:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/23.39 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.46/46.41 eprover: CPU time limit exceeded, terminating
% 0.46/46.42 eprover: CPU time limit exceeded, terminating
% 0.46/46.43 eprover: CPU time limit exceeded, terminating
% 0.46/46.45 eprover: CPU time limit exceeded, terminating
% 0.58/69.43 eprover: CPU time limit exceeded, terminating
% 0.58/69.43 eprover: CPU time limit exceeded, terminating
% 0.58/69.46 eprover: CPU time limit exceeded, terminating
% 0.58/69.49 eprover: CPU time limit exceeded, terminating
% 0.70/92.45 eprover: CPU time limit exceeded, terminating
% 0.70/92.47 eprover: CPU time limit exceeded, terminating
% 0.70/92.48 eprover: CPU time limit exceeded, terminating
% 0.70/92.51 eprover: CPU time limit exceeded, terminating
% 0.83/115.48 eprover: CPU time limit exceeded, terminating
% 0.83/115.50 eprover: CPU time limit exceeded, terminating
% 0.83/115.50 eprover: CPU time limit exceeded, terminating
% 0.83/115.53 eprover: CPU time limit exceeded, terminating
% 0.84/116.00 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.84/116.00
% 0.84/116.00 # Failure: Resource limit exceeded (time)
% 0.84/116.00 # OLD status Res
% 0.84/116.00 # Preprocessing time : 0.018 s
% 0.84/116.00 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.84/116.00
% 0.84/116.00 # Failure: Resource limit exceeded (time)
% 0.84/116.00 # OLD status Res
% 0.84/116.00 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.84/116.00 # Preprocessing time : 0.020 s
% 0.84/116.00 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.84/116.00
% 0.84/116.00 # Failure: Resource limit exceeded (time)
% 0.84/116.00 # OLD status Res
% 0.84/116.00 # Preprocessing time : 0.010 s
% 0.84/116.00 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.84/116.00
% 0.84/116.00 # Failure: Resource limit exceeded (time)
% 0.84/116.00 # OLD status Res
% 0.84/116.00 # Preprocessing time : 0.010 s
% 0.84/116.00 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 0.84/116.00
% 0.84/116.00 # Failure: Resource limit exceeded (time)
% 0.84/116.00 # OLD status Res
% 0.84/116.00 # Preprocessing time : 0.019 s
% 0.84/116.00 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 0.84/116.00 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 0.84/116.00 # Preprocessing time : 0.018 s
% 0.84/116.00
% 0.84/116.00 # Proof found!
% 0.84/116.00 # SZS status Theorem
% 0.84/116.00 # SZS output start CNFRefutation
% See solution above
% 0.84/116.00 # Proof object total steps : 141
% 0.84/116.00 # Proof object clause steps : 128
% 0.84/116.00 # Proof object formula steps : 13
% 0.84/116.00 # Proof object conjectures : 120
% 0.84/116.00 # Proof object clause conjectures : 117
% 0.84/116.00 # Proof object formula conjectures : 3
% 0.84/116.00 # Proof object initial clauses used : 25
% 0.84/116.00 # Proof object initial formulas used : 6
% 0.84/116.00 # Proof object generating inferences : 91
% 0.84/116.00 # Proof object simplifying inferences : 152
% 0.84/116.00 # Training examples: 0 positive, 0 negative
% 0.84/116.00 # Parsed axioms : 42
% 0.84/116.00 # Removed by relevancy pruning/SinE : 18
% 0.84/116.00 # Initial clauses : 58
% 0.84/116.00 # Removed in clause preprocessing : 0
% 0.84/116.00 # Initial clauses in saturation : 58
% 0.84/116.00 # Processed clauses : 3092
% 0.84/116.00 # ...of these trivial : 20
% 0.84/116.00 # ...subsumed : 1416
% 0.84/116.00 # ...remaining for further processing : 1656
% 0.84/116.00 # Other redundant clauses eliminated : 0
% 0.84/116.00 # Clauses deleted for lack of memory : 0
% 0.84/116.00 # Backward-subsumed : 349
% 0.84/116.00 # Backward-rewritten : 498
% 0.84/116.00 # Generated clauses : 14008
% 0.84/116.00 # ...of the previous two non-trivial : 13686
% 0.84/116.00 # Contextual simplify-reflections : 0
% 0.84/116.00 # Paramodulations : 13718
% 0.84/116.00 # Factorizations : 14
% 0.84/116.00 # Equation resolutions : 276
% 0.84/116.00 # Current number of processed clauses : 809
% 0.84/116.00 # Positive orientable unit clauses : 67
% 0.84/116.00 # Positive unorientable unit clauses: 0
% 0.84/116.00 # Negative unit clauses : 17
% 0.84/116.00 # Non-unit-clauses : 725
% 0.84/116.00 # Current number of unprocessed clauses: 6615
% 0.84/116.00 # ...number of literals in the above : 25416
% 0.84/116.00 # Current number of archived formulas : 0
% 0.84/116.00 # Current number of archived clauses : 847
% 0.84/116.00 # Clause-clause subsumption calls (NU) : 117491
% 0.84/116.00 # Rec. Clause-clause subsumption calls : 8051
% 0.84/116.00 # Non-unit clause-clause subsumptions : 1757
% 0.84/116.00 # Unit Clause-clause subsumption calls : 9211
% 0.84/116.00 # Rewrite failures with RHS unbound : 0
% 0.84/116.00 # BW rewrite match attempts : 339
% 0.84/116.00 # BW rewrite match successes : 15
% 0.84/116.00 # Condensation attempts : 0
% 0.84/116.00 # Condensation successes : 0
% 0.84/116.00 # Termbank termtop insertions : 383653
% 0.84/116.00
% 0.84/116.00 # -------------------------------------------------
% 0.84/116.00 # User time : 0.336 s
% 0.84/116.00 # System time : 0.007 s
% 0.84/116.00 # Total time : 0.343 s
% 0.84/116.00 # Maximum resident set size: 13104 pages
% 0.84/138.50 eprover: CPU time limit exceeded, terminating
% 0.84/138.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.52 eprover: No such file or directory
% 0.84/138.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.53 eprover: No such file or directory
% 0.84/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.54 eprover: No such file or directory
% 0.84/138.54 eprover: CPU time limit exceeded, terminating
% 0.84/138.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.54 eprover: No such file or directory
% 0.84/138.54 eprover: CPU time limit exceeded, terminating
% 0.84/138.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.55 eprover: No such file or directory
% 0.84/138.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.55 eprover: No such file or directory
% 0.84/138.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.56 eprover: No such file or directory
% 0.84/138.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.56 eprover: No such file or directory
% 0.84/138.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.56 eprover: No such file or directory
% 0.84/138.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.57 eprover: No such file or directory
% 0.84/138.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.57 eprover: No such file or directory
% 0.84/138.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.57 eprover: No such file or directory
% 0.84/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.58 eprover: No such file or directory
% 0.84/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.58 eprover: No such file or directory
% 0.84/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.84/138.58 eprover: No such file or directory
% 0.84/138.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.58 eprover: No such file or directory
% 0.84/138.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.59 eprover: No such file or directory
% 0.84/138.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.84/138.59 eprover: No such file or directory
%------------------------------------------------------------------------------