TSTP Solution File: SEU216+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU216+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 09:17:55 EDT 2022
% Result : Theorem 0.21s 2.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 18 unt; 0 def)
% Number of atoms : 287 ( 121 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 355 ( 140 ~; 171 |; 28 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 17 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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',t8_funct_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_tarski) ).
fof(d10_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = identity_relation(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& X3 = X4 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d10_relat_1) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',commutativity_k2_tarski) ).
fof(t34_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = identity_relation(X1)
<=> ( relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t34_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',d4_funct_1) ).
fof(t71_relat_1,axiom,
! [X1] :
( relation_dom(identity_relation(X1)) = X1
& relation_rng(identity_relation(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t71_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k6_relat_1) ).
fof(fc2_funct_1,axiom,
! [X1] :
( relation(identity_relation(X1))
& function(identity_relation(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc2_funct_1) ).
fof(c_0_9,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])])]) ).
fof(c_0_10,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_11,plain,
! [X5,X6,X7,X8,X7,X8] :
( ( in(X7,X5)
| ~ in(ordered_pair(X7,X8),X6)
| X6 != identity_relation(X5)
| ~ relation(X6) )
& ( X7 = X8
| ~ in(ordered_pair(X7,X8),X6)
| X6 != identity_relation(X5)
| ~ relation(X6) )
& ( ~ in(X7,X5)
| X7 != X8
| in(ordered_pair(X7,X8),X6)
| X6 != identity_relation(X5)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)
| ~ in(esk1_2(X5,X6),X5)
| esk1_2(X5,X6) != esk2_2(X5,X6)
| X6 = identity_relation(X5)
| ~ relation(X6) )
& ( in(esk1_2(X5,X6),X5)
| in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)
| X6 = identity_relation(X5)
| ~ relation(X6) )
& ( esk1_2(X5,X6) = esk2_2(X5,X6)
| in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)
| X6 = identity_relation(X5)
| ~ relation(X6) ) ),
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)],[d10_relat_1])])])])])])]) ).
cnf(c_0_12,plain,
( in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_15,plain,
( X1 = identity_relation(X2)
| in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)
| in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( in(X2,relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),X2)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = identity_relation(X1)
<=> ( relation_dom(X2) = X1
& ! [X3] :
( in(X3,X1)
=> apply(X2,X3) = X3 ) ) ) ),
inference(assume_negation,[status(cth)],[t34_funct_1]) ).
fof(c_0_20,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_21,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( X1 = identity_relation(X2)
| in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| in(esk1_2(X2,X1),X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
fof(c_0_23,negated_conjecture,
! [X7] :
( relation(esk13_0)
& function(esk13_0)
& ( in(esk14_0,esk12_0)
| relation_dom(esk13_0) != esk12_0
| esk13_0 != identity_relation(esk12_0) )
& ( apply(esk13_0,esk14_0) != esk14_0
| relation_dom(esk13_0) != esk12_0
| esk13_0 != identity_relation(esk12_0) )
& ( relation_dom(esk13_0) = esk12_0
| esk13_0 = identity_relation(esk12_0) )
& ( ~ in(X7,esk12_0)
| apply(esk13_0,X7) = X7
| esk13_0 = identity_relation(esk12_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_19])])])])])])]) ).
cnf(c_0_24,plain,
( X1 = identity_relation(X2)
| ~ relation(X1)
| esk1_2(X2,X1) != esk2_2(X2,X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,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_20]) ).
cnf(c_0_26,plain,
( X1 = identity_relation(X2)
| in(esk1_2(X2,X1),relation_dom(X1))
| in(esk1_2(X2,X1),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
relation(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
function(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( X1 = identity_relation(X2)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ relation(X1)
| ~ in(esk1_2(X2,X1),X2)
| ~ in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1) ),
inference(rw,[status(thm)],[c_0_24,c_0_13]) ).
cnf(c_0_30,plain,
( in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)
| X3 != apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(rw,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_31,negated_conjecture,
( identity_relation(X1) = esk13_0
| in(esk1_2(X1,esk13_0),relation_dom(esk13_0))
| in(esk1_2(X1,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_32,plain,
( X1 = identity_relation(X2)
| in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)
| esk1_2(X2,X1) = esk2_2(X2,X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( X1 = identity_relation(X2)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk1_2(X2,X1)),unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1))),X1)
| ~ in(esk1_2(X2,X1),X2) ),
inference(rw,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_34,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X2 != apply(X3,X1)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( identity_relation(relation_dom(esk13_0)) = esk13_0
| in(esk1_2(relation_dom(esk13_0),esk13_0),relation_dom(esk13_0)) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
( esk13_0 = identity_relation(esk12_0)
| relation_dom(esk13_0) = esk12_0 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,plain,
( X1 = identity_relation(X2)
| esk2_2(X2,X1) = esk1_2(X2,X1)
| in(unordered_pair(unordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),singleton(esk1_2(X2,X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_32,c_0_13]) ).
cnf(c_0_39,plain,
( X1 = identity_relation(X2)
| apply(X1,esk1_2(X2,X1)) != esk2_2(X2,X1)
| esk2_2(X2,X1) != esk1_2(X2,X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(esk1_2(X2,X1),relation_dom(X1))
| ~ in(esk1_2(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( identity_relation(esk12_0) = esk13_0
| in(esk1_2(esk12_0,esk13_0),esk12_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[c_0_37,c_0_13]) ).
cnf(c_0_42,plain,
( esk2_2(X1,X2) = esk1_2(X1,X2)
| X2 = identity_relation(X1)
| in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( identity_relation(esk12_0) = esk13_0
| apply(esk13_0,esk1_2(esk12_0,esk13_0)) != esk2_2(esk12_0,esk13_0)
| esk2_2(esk12_0,esk13_0) != esk1_2(esk12_0,esk13_0)
| ~ in(esk1_2(esk12_0,esk13_0),relation_dom(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_27]),c_0_28])]) ).
cnf(c_0_44,negated_conjecture,
( esk13_0 = identity_relation(esk12_0)
| apply(esk13_0,X1) = X1
| ~ in(X1,esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_45,plain,
( X1 = apply(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_46,plain,
( esk2_2(X1,X2) = esk1_2(X1,X2)
| X2 = identity_relation(X1)
| in(esk1_2(X1,X2),relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_42]) ).
cnf(c_0_47,plain,
( X3 = X4
| ~ relation(X1)
| X1 != identity_relation(X2)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_48,negated_conjecture,
( identity_relation(esk12_0) = esk13_0
| esk2_2(esk12_0,esk13_0) != esk1_2(esk12_0,esk13_0)
| ~ in(esk1_2(esk12_0,esk13_0),relation_dom(esk13_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_40]) ).
cnf(c_0_49,plain,
( apply(X1,esk1_2(X2,X1)) = esk2_2(X2,X1)
| esk2_2(X2,X1) = esk1_2(X2,X1)
| X1 = identity_relation(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( esk2_2(X1,esk13_0) = esk1_2(X1,esk13_0)
| identity_relation(esk12_0) = esk13_0
| identity_relation(X1) = esk13_0
| in(esk1_2(X1,esk13_0),esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_27]),c_0_28])]) ).
cnf(c_0_51,plain,
( X3 = X4
| X1 != identity_relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_13]) ).
cnf(c_0_52,negated_conjecture,
( identity_relation(esk12_0) = esk13_0
| esk2_2(esk12_0,esk13_0) != esk1_2(esk12_0,esk13_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( esk2_2(X1,esk13_0) = esk1_2(X1,esk13_0)
| identity_relation(esk12_0) = esk13_0
| identity_relation(X1) = esk13_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_49]),c_0_27]),c_0_28])]),c_0_50]) ).
fof(c_0_54,plain,
! [X2,X2] :
( relation_dom(identity_relation(X2)) = X2
& relation_rng(identity_relation(X2)) = X2 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[t71_relat_1])])]) ).
cnf(c_0_55,plain,
( X1 = X2
| X2 != apply(X3,X1)
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ function(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_51,c_0_30]) ).
fof(c_0_56,plain,
! [X2] : relation(identity_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_57,plain,
! [X2,X2] :
( relation(identity_relation(X2))
& function(identity_relation(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc2_funct_1])])]) ).
cnf(c_0_58,negated_conjecture,
( esk13_0 != identity_relation(esk12_0)
| relation_dom(esk13_0) != esk12_0
| apply(esk13_0,esk14_0) != esk14_0 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_59,negated_conjecture,
identity_relation(esk12_0) = esk13_0,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
relation_dom(identity_relation(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( apply(esk13_0,esk14_0) != esk14_0
| relation_dom(esk13_0) != esk12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_65,negated_conjecture,
relation_dom(esk13_0) = esk12_0,
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_66,plain,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_62]),c_0_63]),c_0_60])]) ).
cnf(c_0_67,negated_conjecture,
( in(esk14_0,esk12_0)
| esk13_0 != identity_relation(esk12_0)
| relation_dom(esk13_0) != esk12_0 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_68,negated_conjecture,
apply(esk13_0,esk14_0) != esk14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_69,negated_conjecture,
( apply(esk13_0,X1) = X1
| ~ in(X1,esk12_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
in(esk14_0,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_59])]),c_0_65])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU216+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11 % Command : run_ET %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 17:40:18 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.21/2.39 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.21/2.39 # Preprocessing time : 0.015 s
% 0.21/2.39
% 0.21/2.39 # Proof found!
% 0.21/2.39 # SZS status Theorem
% 0.21/2.39 # SZS output start CNFRefutation
% See solution above
% 0.21/2.39 # Proof object total steps : 72
% 0.21/2.39 # Proof object clause steps : 53
% 0.21/2.39 # Proof object formula steps : 19
% 0.21/2.39 # Proof object conjectures : 24
% 0.21/2.39 # Proof object clause conjectures : 21
% 0.21/2.39 # Proof object formula conjectures : 3
% 0.21/2.39 # Proof object initial clauses used : 18
% 0.21/2.39 # Proof object initial formulas used : 9
% 0.21/2.39 # Proof object generating inferences : 22
% 0.21/2.39 # Proof object simplifying inferences : 38
% 0.21/2.39 # Training examples: 0 positive, 0 negative
% 0.21/2.39 # Parsed axioms : 41
% 0.21/2.39 # Removed by relevancy pruning/SinE : 0
% 0.21/2.39 # Initial clauses : 70
% 0.21/2.39 # Removed in clause preprocessing : 1
% 0.21/2.39 # Initial clauses in saturation : 69
% 0.21/2.39 # Processed clauses : 12599
% 0.21/2.39 # ...of these trivial : 8
% 0.21/2.39 # ...subsumed : 11084
% 0.21/2.39 # ...remaining for further processing : 1507
% 0.21/2.39 # Other redundant clauses eliminated : 178
% 0.21/2.39 # Clauses deleted for lack of memory : 0
% 0.21/2.39 # Backward-subsumed : 239
% 0.21/2.39 # Backward-rewritten : 129
% 0.21/2.39 # Generated clauses : 73857
% 0.21/2.39 # ...of the previous two non-trivial : 70342
% 0.21/2.39 # Contextual simplify-reflections : 10063
% 0.21/2.39 # Paramodulations : 73558
% 0.21/2.39 # Factorizations : 8
% 0.21/2.39 # Equation resolutions : 291
% 0.21/2.39 # Current number of processed clauses : 1138
% 0.21/2.39 # Positive orientable unit clauses : 37
% 0.21/2.39 # Positive unorientable unit clauses: 1
% 0.21/2.39 # Negative unit clauses : 20
% 0.21/2.39 # Non-unit-clauses : 1080
% 0.21/2.39 # Current number of unprocessed clauses: 48491
% 0.21/2.39 # ...number of literals in the above : 241059
% 0.21/2.39 # Current number of archived formulas : 0
% 0.21/2.39 # Current number of archived clauses : 369
% 0.21/2.39 # Clause-clause subsumption calls (NU) : 2602411
% 0.21/2.39 # Rec. Clause-clause subsumption calls : 1281717
% 0.21/2.39 # Non-unit clause-clause subsumptions : 18824
% 0.21/2.39 # Unit Clause-clause subsumption calls : 2546
% 0.21/2.39 # Rewrite failures with RHS unbound : 0
% 0.21/2.39 # BW rewrite match attempts : 30
% 0.21/2.39 # BW rewrite match successes : 22
% 0.21/2.39 # Condensation attempts : 0
% 0.21/2.39 # Condensation successes : 0
% 0.21/2.39 # Termbank termtop insertions : 1507924
% 0.21/2.39
% 0.21/2.39 # -------------------------------------------------
% 0.21/2.39 # User time : 1.235 s
% 0.21/2.39 # System time : 0.027 s
% 0.21/2.39 # Total time : 1.262 s
% 0.21/2.39 # Maximum resident set size: 42856 pages
% 0.21/23.38 eprover: CPU time limit exceeded, terminating
% 0.21/23.38 eprover: CPU time limit exceeded, terminating
% 0.21/23.39 eprover: CPU time limit exceeded, terminating
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.40 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.41 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------