TSTP Solution File: SEU081+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU081+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 09:16:44 EDT 2022
% Result : Theorem 1.09s 163.26s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 94 ( 25 unt; 0 def)
% Number of atoms : 286 ( 77 equ)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 311 ( 119 ~; 148 |; 32 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-4 aty)
% Number of variables : 133 ( 20 sgn 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t162_funct_1,conjecture,
! [X1,X2] :
( element(X2,powerset(X1))
=> relation_image(identity_relation(X1),X2) = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t162_funct_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
fof(d12_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,relation_dom(X1))
& in(X5,X2)
& X4 = apply(X1,X5) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d12_funct_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(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t8_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc2_subset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(rc1_relat_1,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc1_relat_1) ).
fof(t34_funct_1,axiom,
! [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(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',rc2_funct_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t7_boole) ).
fof(c_0_13,negated_conjecture,
~ ! [X1,X2] :
( element(X2,powerset(X1))
=> relation_image(identity_relation(X1),X2) = X2 ),
inference(assume_negation,[status(cth)],[t162_funct_1]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_15,negated_conjecture,
( element(esk2_0,powerset(esk1_0))
& relation_image(identity_relation(esk1_0),esk2_0) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,plain,
! [X6,X7,X8,X9,X9,X11,X7,X8,X13] :
( ( in(esk3_4(X6,X7,X8,X9),relation_dom(X6))
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk3_4(X6,X7,X8,X9),X7)
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( X9 = apply(X6,esk3_4(X6,X7,X8,X9))
| ~ in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(X11,relation_dom(X6))
| ~ in(X11,X7)
| X9 != apply(X6,X11)
| in(X9,X8)
| X8 != relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( ~ in(esk4_3(X6,X7,X8),X8)
| ~ in(X13,relation_dom(X6))
| ~ in(X13,X7)
| esk4_3(X6,X7,X8) != apply(X6,X13)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk5_3(X6,X7,X8),relation_dom(X6))
| in(esk4_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( in(esk5_3(X6,X7,X8),X7)
| in(esk4_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(X6) )
& ( esk4_3(X6,X7,X8) = apply(X6,esk5_3(X6,X7,X8))
| in(esk4_3(X6,X7,X8),X8)
| X8 = relation_image(X6,X7)
| ~ relation(X6)
| ~ function(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)],[d12_funct_1])])])])])])]) ).
fof(c_0_17,plain,
! [X2] : relation(identity_relation(X2)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_18,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])])]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_20,plain,
! [X3] :
( element(esk8_1(X3),powerset(X3))
& empty(esk8_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_21,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
element(esk2_0,powerset(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( X2 = relation_image(X1,X3)
| in(esk4_3(X1,X3,X2),X2)
| in(esk5_3(X1,X3,X2),X3)
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_27,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
empty(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_30,negated_conjecture,
( element(X1,esk1_0)
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( X1 = relation_image(identity_relation(X2),X3)
| in(esk4_3(identity_relation(X2),X3,X1),X1)
| in(esk5_3(identity_relation(X2),X3,X1),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_32,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
element(esk8_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,plain,
( X1 = esk8_1(X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_35,plain,
( ~ epred1_0
<=> ! [X1] : ~ empty(X1) ),
introduced(definition) ).
fof(c_0_36,plain,
( empty(esk12_0)
& relation(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
fof(c_0_37,plain,
! [X4,X5,X6] :
( ( relation_dom(X5) = X4
| X5 != identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( ~ in(X6,X4)
| apply(X5,X6) = X6
| X5 != identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( in(esk9_2(X4,X5),X4)
| relation_dom(X5) != X4
| X5 = identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) )
& ( apply(X5,esk9_2(X4,X5)) != esk9_2(X4,X5)
| relation_dom(X5) != X4
| X5 = identity_relation(X4)
| ~ relation(X5)
| ~ function(X5) ) ),
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)],[t34_funct_1])])])])])])]) ).
cnf(c_0_38,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( X1 = relation_image(identity_relation(X2),esk2_0)
| element(esk5_3(identity_relation(X2),esk2_0,X1),esk1_0)
| in(esk4_3(identity_relation(X2),esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_40,plain,
( ~ epred2_0
<=> ! [X3,X2] : ~ in(X2,esk8_1(X3)) ),
introduced(definition) ).
cnf(c_0_41,plain,
( ~ empty(X1)
| ~ in(X2,esk8_1(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
esk8_1(X1) = esk8_1(X2),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_43,plain,
( epred1_0
| ~ empty(X1) ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
empty(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( apply(X1,X3) = X3
| ~ function(X1)
| ~ relation(X1)
| X1 != identity_relation(X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( X1 = relation_image(identity_relation(X2),esk2_0)
| empty(esk1_0)
| in(esk5_3(identity_relation(X2),esk2_0,X1),esk1_0)
| in(esk4_3(identity_relation(X2),esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35]),c_0_40]) ).
cnf(c_0_48,plain,
epred1_0,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_49,plain,
( relation(esk11_0)
& empty(esk11_0)
& function(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
cnf(c_0_50,plain,
( X2 = relation_image(X1,X3)
| in(esk4_3(X1,X3,X2),X2)
| esk4_3(X1,X3,X2) = apply(X1,esk5_3(X1,X3,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,negated_conjecture,
( apply(X1,esk5_3(identity_relation(X2),esk2_0,X3)) = esk5_3(identity_relation(X2),esk2_0,X3)
| X3 = relation_image(identity_relation(X2),esk2_0)
| empty(esk1_0)
| in(esk4_3(identity_relation(X2),esk2_0,X3),X3)
| X1 != identity_relation(esk1_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
esk8_1(X1) = esk12_0,
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_53,plain,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_54,plain,
( X1 = esk12_0
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_44]) ).
cnf(c_0_55,plain,
empty(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,plain,
( apply(identity_relation(X1),esk5_3(identity_relation(X1),X2,X3)) = esk4_3(identity_relation(X1),X2,X3)
| X3 = relation_image(identity_relation(X1),X2)
| in(esk4_3(identity_relation(X1),X2,X3),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_24]),c_0_25])]) ).
cnf(c_0_57,negated_conjecture,
( apply(identity_relation(esk1_0),esk5_3(identity_relation(X1),esk2_0,X2)) = esk5_3(identity_relation(X1),esk2_0,X2)
| X2 = relation_image(identity_relation(X1),esk2_0)
| empty(esk1_0)
| in(esk4_3(identity_relation(X1),esk2_0,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_51]),c_0_24]),c_0_25])]) ).
cnf(c_0_58,plain,
~ in(X1,esk12_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_40]),c_0_52]),c_0_53]) ).
cnf(c_0_59,plain,
esk12_0 = esk11_0,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
function(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,negated_conjecture,
( esk5_3(identity_relation(esk1_0),esk2_0,X1) = esk4_3(identity_relation(esk1_0),esk2_0,X1)
| X1 = relation_image(identity_relation(esk1_0),esk2_0)
| empty(esk1_0)
| in(esk4_3(identity_relation(esk1_0),esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
~ in(X1,esk11_0),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( X1 = relation_image(esk11_0,X2)
| in(esk4_3(esk11_0,X2,X1),X1)
| in(esk5_3(esk11_0,X2,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_60]),c_0_61])]) ).
cnf(c_0_65,negated_conjecture,
( X1 = relation_image(identity_relation(esk1_0),esk2_0)
| empty(esk1_0)
| in(esk4_3(identity_relation(esk1_0),esk2_0,X1),esk2_0)
| in(esk4_3(identity_relation(esk1_0),esk2_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
relation_image(identity_relation(esk1_0),esk2_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_67,plain,
( X1 = relation_image(esk11_0,esk11_0)
| in(esk4_3(esk11_0,esk11_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( empty(esk1_0)
| in(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_65]),c_0_66]) ).
cnf(c_0_69,plain,
relation_image(esk11_0,esk11_0) = esk11_0,
inference(spm,[status(thm)],[c_0_63,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( element(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk1_0)
| empty(esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_68]) ).
cnf(c_0_71,plain,
( X1 = esk11_0
| in(esk4_3(esk11_0,esk11_0,X1),X1) ),
inference(rw,[status(thm)],[c_0_67,c_0_69]) ).
cnf(c_0_72,plain,
( relation_dom(X1) = X2
| ~ function(X1)
| ~ relation(X1)
| X1 != identity_relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_73,negated_conjecture,
( empty(esk1_0)
| in(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( esk2_0 = esk11_0
| element(esk4_3(esk11_0,esk11_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_71]) ).
cnf(c_0_75,plain,
( X2 = relation_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| esk4_3(X1,X3,X2) != apply(X1,X4)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X1))
| ~ in(esk4_3(X1,X3,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_76,plain,
relation_dom(identity_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_24]),c_0_25])]) ).
cnf(c_0_77,negated_conjecture,
( apply(X1,esk4_3(identity_relation(esk1_0),esk2_0,esk2_0)) = esk4_3(identity_relation(esk1_0),esk2_0,esk2_0)
| empty(esk1_0)
| X1 != identity_relation(esk1_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( ~ empty(esk1_0)
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_79,negated_conjecture,
( esk2_0 = esk11_0
| empty(esk1_0)
| in(esk4_3(esk11_0,esk11_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( empty(esk1_0)
| esk4_3(identity_relation(esk1_0),esk2_0,esk2_0) != apply(identity_relation(esk1_0),X1)
| ~ in(X1,esk1_0)
| ~ in(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_68]),c_0_24]),c_0_25]),c_0_76])]),c_0_66]) ).
cnf(c_0_81,negated_conjecture,
( apply(identity_relation(esk1_0),esk4_3(identity_relation(esk1_0),esk2_0,esk2_0)) = esk4_3(identity_relation(esk1_0),esk2_0,esk2_0)
| empty(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_24]),c_0_25])]) ).
fof(c_0_82,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_83,negated_conjecture,
( esk2_0 = esk11_0
| in(esk4_3(esk11_0,esk11_0,esk2_0),esk1_0)
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( empty(esk1_0)
| ~ in(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk1_0)
| ~ in(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( esk2_0 = esk11_0
| in(esk4_3(esk11_0,esk11_0,esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_71]) ).
cnf(c_0_87,negated_conjecture,
( empty(esk1_0)
| ~ in(esk4_3(identity_relation(esk1_0),esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_73]) ).
cnf(c_0_88,negated_conjecture,
( esk2_0 = esk11_0
| ~ empty(esk1_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
empty(esk1_0),
inference(spm,[status(thm)],[c_0_87,c_0_68]) ).
cnf(c_0_90,plain,
( X1 = relation_image(identity_relation(X2),esk11_0)
| in(esk4_3(identity_relation(X2),esk11_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_31]) ).
cnf(c_0_91,negated_conjecture,
esk2_0 = esk11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).
cnf(c_0_92,plain,
relation_image(identity_relation(X1),esk11_0) = esk11_0,
inference(spm,[status(thm)],[c_0_63,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_91]),c_0_92]),c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU081+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 06:13:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.43 eprover: CPU time limit exceeded, terminating
% 0.47/46.47 eprover: CPU time limit exceeded, terminating
% 0.60/69.45 eprover: CPU time limit exceeded, terminating
% 0.60/69.45 eprover: CPU time limit exceeded, terminating
% 0.60/69.45 eprover: CPU time limit exceeded, terminating
% 0.60/69.49 eprover: CPU time limit exceeded, terminating
% 0.72/92.47 eprover: CPU time limit exceeded, terminating
% 0.72/92.47 eprover: CPU time limit exceeded, terminating
% 0.72/92.51 eprover: CPU time limit exceeded, terminating
% 0.72/92.51 eprover: CPU time limit exceeded, terminating
% 0.84/115.49 eprover: CPU time limit exceeded, terminating
% 0.84/115.51 eprover: CPU time limit exceeded, terminating
% 0.84/115.52 eprover: CPU time limit exceeded, terminating
% 0.84/115.54 eprover: CPU time limit exceeded, terminating
% 0.97/138.53 eprover: CPU time limit exceeded, terminating
% 0.97/138.53 eprover: CPU time limit exceeded, terminating
% 0.97/138.54 eprover: CPU time limit exceeded, terminating
% 0.97/138.55 eprover: CPU time limit exceeded, terminating
% 1.09/161.55 eprover: CPU time limit exceeded, terminating
% 1.09/161.57 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.09/161.57
% 1.09/161.58 eprover: CPU time limit exceeded, terminating
% 1.09/163.26 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # Preprocessing time : 0.016 s
% 1.09/163.26 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.09/163.26 # Preprocessing time : 0.009 s
% 1.09/163.26 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # Preprocessing time : 0.010 s
% 1.09/163.26 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # Preprocessing time : 0.016 s
% 1.09/163.26 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.09/163.26 # Preprocessing time : 0.017 s
% 1.09/163.26 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # Preprocessing time : 0.017 s
% 1.09/163.26 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.09/163.26
% 1.09/163.26 # Failure: Resource limit exceeded (time)
% 1.09/163.26 # OLD status Res
% 1.09/163.26 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.09/163.26 # Preprocessing time : 0.009 s
% 1.09/163.26 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.09/163.26 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.09/163.26 # Preprocessing time : 0.016 s
% 1.09/163.26
% 1.09/163.26 # Proof found!
% 1.09/163.26 # SZS status Theorem
% 1.09/163.26 # SZS output start CNFRefutation
% See solution above
% 1.09/163.26 # Proof object total steps : 94
% 1.09/163.26 # Proof object clause steps : 65
% 1.09/163.26 # Proof object formula steps : 29
% 1.09/163.26 # Proof object conjectures : 29
% 1.09/163.26 # Proof object clause conjectures : 26
% 1.09/163.26 # Proof object formula conjectures : 3
% 1.09/163.26 # Proof object initial clauses used : 21
% 1.09/163.26 # Proof object initial formulas used : 13
% 1.09/163.26 # Proof object generating inferences : 38
% 1.09/163.26 # Proof object simplifying inferences : 35
% 1.09/163.26 # Training examples: 0 positive, 0 negative
% 1.09/163.26 # Parsed axioms : 35
% 1.09/163.26 # Removed by relevancy pruning/SinE : 9
% 1.09/163.26 # Initial clauses : 46
% 1.09/163.26 # Removed in clause preprocessing : 0
% 1.09/163.26 # Initial clauses in saturation : 46
% 1.09/163.26 # Processed clauses : 7386
% 1.09/163.26 # ...of these trivial : 16
% 1.09/163.26 # ...subsumed : 5229
% 1.09/163.26 # ...remaining for further processing : 2141
% 1.09/163.26 # Other redundant clauses eliminated : 1
% 1.09/163.26 # Clauses deleted for lack of memory : 0
% 1.09/163.26 # Backward-subsumed : 124
% 1.09/163.26 # Backward-rewritten : 906
% 1.09/163.26 # Generated clauses : 40378
% 1.09/163.26 # ...of the previous two non-trivial : 37967
% 1.09/163.26 # Contextual simplify-reflections : 0
% 1.09/163.26 # Paramodulations : 40127
% 1.09/163.26 # Factorizations : 16
% 1.09/163.26 # Equation resolutions : 210
% 1.09/163.26 # Current number of processed clauses : 1107
% 1.09/163.26 # Positive orientable unit clauses : 74
% 1.09/163.26 # Positive unorientable unit clauses: 0
% 1.09/163.26 # Negative unit clauses : 50
% 1.09/163.26 # Non-unit-clauses : 983
% 1.09/163.26 # Current number of unprocessed clauses: 13166
% 1.09/163.26 # ...number of literals in the above : 48553
% 1.09/163.26 # Current number of archived formulas : 0
% 1.09/163.26 # Current number of archived clauses : 1034
% 1.09/163.26 # Clause-clause subsumption calls (NU) : 205496
% 1.09/163.26 # Rec. Clause-clause subsumption calls : 130471
% 1.09/163.26 # Non-unit clause-clause subsumptions : 5053
% 1.09/163.26 # Unit Clause-clause subsumption calls : 2871
% 1.09/163.26 # Rewrite failures with RHS unbound : 11
% 1.09/163.26 # BW rewrite match attempts : 230
% 1.09/163.26 # BW rewrite match successes : 34
% 1.09/163.26 # Condensation attempts : 0
% 1.09/163.26 # Condensation successes : 0
% 1.09/163.26 # Termbank termtop insertions : 1058269
% 1.09/163.26
% 1.09/163.26 # -------------------------------------------------
% 1.09/163.26 # User time : 0.963 s
% 1.09/163.26 # System time : 0.014 s
% 1.09/163.26 # Total time : 0.977 s
% 1.09/163.26 # Maximum resident set size: 31796 pages
% 1.09/184.58 eprover: CPU time limit exceeded, terminating
% 1.09/184.59 eprover: CPU time limit exceeded, terminating
% 1.09/184.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.09/184.60 eprover: No such file or directory
% 1.09/184.60 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.09/184.60 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.61 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.61 eprover: No such file or directory
% 1.09/184.62 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.62 eprover: No such file or directory
% 1.09/184.62 eprover: CPU time limit exceeded, terminating
% 1.09/184.63 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.63 eprover: No such file or directory
% 1.09/184.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.64 eprover: No such file or directory
% 1.09/184.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.64 eprover: No such file or directory
% 1.09/184.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.64 eprover: No such file or directory
% 1.09/184.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.09/184.65 eprover: No such file or directory
%------------------------------------------------------------------------------