TSTP Solution File: SEU063+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU063+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:30:18 EDT 2023
% Result : Theorem 1141.02s 143.88s
% Output : CNFRefutation 1141.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 80 ( 11 unt; 0 def)
% Number of atoms : 340 ( 87 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 427 ( 167 ~; 213 |; 32 &)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 126 ( 4 sgn; 44 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p',d5_funct_1) ).
fof(t144_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ! [X2] :
~ ( in(X2,relation_rng(X1))
& ! [X3] : relation_inverse_image(X1,singleton(X2)) != singleton(X3) )
<=> one_to_one(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p',t144_funct_1) ).
fof(d8_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
<=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
& in(X3,relation_dom(X1))
& apply(X1,X2) = apply(X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p',d8_funct_1) ).
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p',d1_tarski) ).
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p',d13_funct_1) ).
fof(c_0_5,plain,
! [X25,X26,X27,X29,X30,X31,X33] :
( ( in(esk3_3(X25,X26,X27),relation_dom(X25))
| ~ in(X27,X26)
| X26 != relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) )
& ( X27 = apply(X25,esk3_3(X25,X26,X27))
| ~ in(X27,X26)
| X26 != relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(X30,relation_dom(X25))
| X29 != apply(X25,X30)
| in(X29,X26)
| X26 != relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) )
& ( ~ in(esk4_2(X25,X31),X31)
| ~ in(X33,relation_dom(X25))
| esk4_2(X25,X31) != apply(X25,X33)
| X31 = relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) )
& ( in(esk5_2(X25,X31),relation_dom(X25))
| in(esk4_2(X25,X31),X31)
| X31 = relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) )
& ( esk4_2(X25,X31) = apply(X25,esk5_2(X25,X31))
| in(esk4_2(X25,X31),X31)
| X31 = relation_rng(X25)
| ~ relation(X25)
| ~ function(X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_funct_1])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ! [X2] :
~ ( in(X2,relation_rng(X1))
& ! [X3] : relation_inverse_image(X1,singleton(X2)) != singleton(X3) )
<=> one_to_one(X1) ) ),
inference(assume_negation,[status(cth)],[t144_funct_1]) ).
cnf(c_0_7,plain,
( in(X3,X4)
| ~ in(X1,relation_dom(X2))
| X3 != apply(X2,X1)
| X4 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X35,X36,X37] :
( ( ~ one_to_one(X35)
| ~ in(X36,relation_dom(X35))
| ~ in(X37,relation_dom(X35))
| apply(X35,X36) != apply(X35,X37)
| X36 = X37
| ~ relation(X35)
| ~ function(X35) )
& ( in(esk6_1(X35),relation_dom(X35))
| one_to_one(X35)
| ~ relation(X35)
| ~ function(X35) )
& ( in(esk7_1(X35),relation_dom(X35))
| one_to_one(X35)
| ~ relation(X35)
| ~ function(X35) )
& ( apply(X35,esk6_1(X35)) = apply(X35,esk7_1(X35))
| one_to_one(X35)
| ~ relation(X35)
| ~ function(X35) )
& ( esk6_1(X35) != esk7_1(X35)
| one_to_one(X35)
| ~ relation(X35)
| ~ function(X35) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_funct_1])])])])]) ).
fof(c_0_9,plain,
! [X18,X19,X20,X21,X22,X23] :
( ( ~ in(X20,X19)
| X20 = X18
| X19 != singleton(X18) )
& ( X21 != X18
| in(X21,X19)
| X19 != singleton(X18) )
& ( ~ in(esk2_2(X22,X23),X23)
| esk2_2(X22,X23) != X22
| X23 = singleton(X22) )
& ( in(esk2_2(X22,X23),X23)
| esk2_2(X22,X23) = X22
| X23 = singleton(X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])]) ).
fof(c_0_10,negated_conjecture,
! [X63,X64] :
( relation(esk19_0)
& function(esk19_0)
& ( in(esk20_0,relation_rng(esk19_0))
| ~ one_to_one(esk19_0) )
& ( relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X63)
| ~ one_to_one(esk19_0) )
& ( ~ in(X64,relation_rng(esk19_0))
| relation_inverse_image(esk19_0,singleton(X64)) = singleton(esk21_1(X64))
| one_to_one(esk19_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
cnf(c_0_11,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]) ).
cnf(c_0_12,plain,
( in(esk7_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( ( in(X13,relation_dom(X10))
| ~ in(X13,X12)
| X12 != relation_inverse_image(X10,X11)
| ~ relation(X10)
| ~ function(X10) )
& ( in(apply(X10,X13),X11)
| ~ in(X13,X12)
| X12 != relation_inverse_image(X10,X11)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(X14,relation_dom(X10))
| ~ in(apply(X10,X14),X11)
| in(X14,X12)
| X12 != relation_inverse_image(X10,X11)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(esk1_3(X10,X15,X16),X16)
| ~ in(esk1_3(X10,X15,X16),relation_dom(X10))
| ~ in(apply(X10,esk1_3(X10,X15,X16)),X15)
| X16 = relation_inverse_image(X10,X15)
| ~ relation(X10)
| ~ function(X10) )
& ( in(esk1_3(X10,X15,X16),relation_dom(X10))
| in(esk1_3(X10,X15,X16),X16)
| X16 = relation_inverse_image(X10,X15)
| ~ relation(X10)
| ~ function(X10) )
& ( in(apply(X10,esk1_3(X10,X15,X16)),X15)
| in(esk1_3(X10,X15,X16),X16)
| X16 = relation_inverse_image(X10,X15)
| ~ relation(X10)
| ~ function(X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_funct_1])])])])])]) ).
cnf(c_0_14,plain,
( in(X1,X3)
| X1 != X2
| X3 != singleton(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(X1)) = singleton(esk21_1(X1))
| one_to_one(esk19_0)
| ~ in(X1,relation_rng(esk19_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( one_to_one(X1)
| in(apply(X1,esk7_1(X1)),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,X3)
| X3 != relation_inverse_image(X2,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
( singleton(esk21_1(apply(esk19_0,esk7_1(esk19_0)))) = relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_22,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,X4)
| X4 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( one_to_one(esk19_0)
| in(esk21_1(apply(esk19_0,esk7_1(esk19_0))),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( X1 = X3
| ~ in(X1,X2)
| X2 != singleton(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( in(X1,X4)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_28,negated_conjecture,
( one_to_one(esk19_0)
| in(esk21_1(apply(esk19_0,esk7_1(esk19_0))),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_17]),c_0_18])]) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))),singleton(apply(esk19_0,esk7_1(esk19_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_17]),c_0_18])]) ).
cnf(c_0_31,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))),relation_rng(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_28]),c_0_17]),c_0_18])]) ).
cnf(c_0_33,negated_conjecture,
( apply(esk19_0,esk21_1(apply(esk19_0,esk7_1(esk19_0)))) = apply(esk19_0,esk7_1(esk19_0))
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( one_to_one(X1)
| in(esk7_1(X1),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(apply(X1,esk7_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_35,negated_conjecture,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk7_1(esk19_0)),relation_rng(esk19_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,relation_rng(esk19_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]),c_0_18])]) ).
cnf(c_0_37,plain,
( in(esk6_1(X1),relation_dom(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_38,plain,
( apply(X1,esk6_1(X1)) = apply(X1,esk7_1(X1))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_36]),c_0_17]),c_0_18])]) ).
cnf(c_0_40,plain,
( one_to_one(X1)
| in(esk6_1(X1),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ in(apply(X1,esk6_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( one_to_one(esk19_0)
| in(apply(esk19_0,esk6_1(esk19_0)),relation_rng(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_17]),c_0_18])]) ).
cnf(c_0_42,negated_conjecture,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,X1))
| ~ in(apply(esk19_0,esk7_1(esk19_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_17]),c_0_18])]) ).
cnf(c_0_43,negated_conjecture,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,relation_rng(esk19_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_17]),c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
( X1 = esk21_1(apply(esk19_0,esk7_1(esk19_0)))
| one_to_one(esk19_0)
| ~ in(X1,relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_45,negated_conjecture,
( one_to_one(esk19_0)
| in(esk7_1(esk19_0),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk7_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
cnf(c_0_46,negated_conjecture,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_43]),c_0_17]),c_0_18])]) ).
cnf(c_0_47,negated_conjecture,
( esk21_1(apply(esk19_0,esk7_1(esk19_0))) = esk7_1(esk19_0)
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,X1))
| ~ in(apply(esk19_0,esk6_1(esk19_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_17]),c_0_18])]) ).
cnf(c_0_49,negated_conjecture,
( singleton(esk21_1(apply(esk19_0,esk6_1(esk19_0)))) = relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0))))
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_17]),c_0_18])]) ).
cnf(c_0_50,negated_conjecture,
( esk21_1(apply(esk19_0,esk6_1(esk19_0))) = esk7_1(esk19_0)
| one_to_one(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_38]),c_0_17]),c_0_18])]) ).
cnf(c_0_51,negated_conjecture,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0))))) ),
inference(spm,[status(thm)],[c_0_48,c_0_20]) ).
cnf(c_0_52,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(apply(esk19_0,esk6_1(esk19_0)))) = singleton(esk7_1(esk19_0))
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( one_to_one(esk19_0)
| in(esk6_1(esk19_0),singleton(esk7_1(esk19_0))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,plain,
( one_to_one(X1)
| esk6_1(X1) != esk7_1(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_55,negated_conjecture,
( esk7_1(esk19_0) = esk6_1(esk19_0)
| one_to_one(esk19_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_53]) ).
cnf(c_0_56,plain,
( X1 = apply(X2,esk3_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_57,negated_conjecture,
( in(esk20_0,relation_rng(esk19_0))
| ~ one_to_one(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,negated_conjecture,
one_to_one(esk19_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_17]),c_0_18])]) ).
cnf(c_0_59,plain,
( in(esk3_3(X1,X2,X3),relation_dom(X1))
| ~ in(X3,X2)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_60,plain,
( apply(X1,esk3_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
in(esk20_0,relation_rng(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,plain,
( in(esk3_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
( in(esk2_2(X1,X2),X2)
| esk2_2(X1,X2) = X1
| X2 = singleton(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_64,plain,
( X2 = X3
| ~ one_to_one(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(X3,relation_dom(X1))
| apply(X1,X2) != apply(X1,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65,negated_conjecture,
apply(esk19_0,esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)) = esk20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_17]),c_0_18])]) ).
cnf(c_0_66,negated_conjecture,
in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_17]),c_0_18])]) ).
cnf(c_0_67,plain,
( esk2_2(X1,relation_inverse_image(X2,X3)) = X1
| relation_inverse_image(X2,X3) = singleton(X1)
| in(apply(X2,esk2_2(X1,relation_inverse_image(X2,X3))),X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1)
| ~ one_to_one(esk19_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_69,negated_conjecture,
( esk3_3(esk19_0,relation_rng(esk19_0),esk20_0) = X1
| apply(esk19_0,X1) != esk20_0
| ~ in(X1,relation_dom(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_58]),c_0_17]),c_0_18])]),c_0_66])]) ).
cnf(c_0_70,plain,
( apply(X1,esk2_2(X2,relation_inverse_image(X1,singleton(X3)))) = X3
| esk2_2(X2,relation_inverse_image(X1,singleton(X3))) = X2
| relation_inverse_image(X1,singleton(X3)) = singleton(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
relation_inverse_image(esk19_0,singleton(esk20_0)) != singleton(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_58])]) ).
cnf(c_0_72,negated_conjecture,
( esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)
| esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = X1
| ~ in(esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))),relation_dom(esk19_0)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_17]),c_0_18])])]),c_0_71]) ).
cnf(c_0_73,plain,
( esk2_2(X1,relation_inverse_image(X2,X3)) = X1
| relation_inverse_image(X2,X3) = singleton(X1)
| in(esk2_2(X1,relation_inverse_image(X2,X3)),relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0)
| esk2_2(X1,relation_inverse_image(esk19_0,singleton(esk20_0))) = X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_17]),c_0_18])]),c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_inverse_image(esk19_0,X1))
| ~ in(esk20_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_66]),c_0_17]),c_0_18]),c_0_65])]) ).
cnf(c_0_76,plain,
( X2 = singleton(X1)
| ~ in(esk2_2(X1,X2),X2)
| esk2_2(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,negated_conjecture,
esk2_2(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_inverse_image(esk19_0,singleton(esk20_0))) = esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_74])]) ).
cnf(c_0_78,negated_conjecture,
in(esk3_3(esk19_0,relation_rng(esk19_0),esk20_0),relation_inverse_image(esk19_0,singleton(esk20_0))),
inference(spm,[status(thm)],[c_0_75,c_0_20]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU063+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Oct 2 08:45:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.iM2TLUf0bR/E---3.1_7993.p
% 1141.02/143.88 # Version: 3.1pre001
% 1141.02/143.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1141.02/143.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1141.02/143.88 # Starting new_bool_3 with 300s (1) cores
% 1141.02/143.88 # Starting new_bool_1 with 300s (1) cores
% 1141.02/143.88 # Starting sh5l with 300s (1) cores
% 1141.02/143.88 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8072 completed with status 0
% 1141.02/143.88 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1141.02/143.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1141.02/143.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1141.02/143.88 # No SInE strategy applied
% 1141.02/143.88 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1141.02/143.88 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1141.02/143.88 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1141.02/143.88 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 1141.02/143.88 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 8080 completed with status 7
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1141.02/143.88 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 8079 completed with status 7
% 1141.02/143.88 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 8076 completed with status 7
% 1141.02/143.88 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 8078 completed with status 7
% 1141.02/143.88 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 1141.02/143.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 8149 completed with status 0
% 1141.02/143.88 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 1141.02/143.88 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1141.02/143.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1141.02/143.88 # No SInE strategy applied
% 1141.02/143.88 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1141.02/143.88 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 1141.02/143.88 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1141.02/143.88 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1141.02/143.88 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 1141.02/143.88 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 8080 completed with status 7
% 1141.02/143.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1141.02/143.88 # Preprocessing time : 0.001 s
% 1141.02/143.88 # Presaturation interreduction done
% 1141.02/143.88
% 1141.02/143.88 # Proof found!
% 1141.02/143.88 # SZS status Theorem
% 1141.02/143.88 # SZS output start CNFRefutation
% See solution above
% 1141.02/143.88 # Parsed axioms : 39
% 1141.02/143.88 # Removed by relevancy pruning/SinE : 0
% 1141.02/143.88 # Initial clauses : 78
% 1141.02/143.88 # Removed in clause preprocessing : 2
% 1141.02/143.88 # Initial clauses in saturation : 76
% 1141.02/143.88 # Processed clauses : 37820
% 1141.02/143.88 # ...of these trivial : 12
% 1141.02/143.88 # ...subsumed : 33444
% 1141.02/143.88 # ...remaining for further processing : 4364
% 1141.02/143.88 # Other redundant clauses eliminated : 1340
% 1141.02/143.88 # Clauses deleted for lack of memory : 0
% 1141.02/143.88 # Backward-subsumed : 452
% 1141.02/143.88 # Backward-rewritten : 1296
% 1141.02/143.88 # Generated clauses : 356752
% 1141.02/143.88 # ...of the previous two non-redundant : 350189
% 1141.02/143.88 # ...aggressively subsumed : 0
% 1141.02/143.88 # Contextual simplify-reflections : 171
% 1141.02/143.88 # Paramodulations : 355386
% 1141.02/143.88 # Factorizations : 25
% 1141.02/143.88 # NegExts : 0
% 1141.02/143.88 # Equation resolutions : 1343
% 1141.02/143.88 # Total rewrite steps : 16013
% 1141.02/143.88 # Propositional unsat checks : 0
% 1141.02/143.88 # Propositional check models : 0
% 1141.02/143.88 # Propositional check unsatisfiable : 0
% 1141.02/143.88 # Propositional clauses : 0
% 1141.02/143.88 # Propositional clauses after purity: 0
% 1141.02/143.88 # Propositional unsat core size : 0
% 1141.02/143.88 # Propositional preprocessing time : 0.000
% 1141.02/143.88 # Propositional encoding time : 0.000
% 1141.02/143.88 # Propositional solver time : 0.000
% 1141.02/143.88 # Success case prop preproc time : 0.000
% 1141.02/143.88 # Success case prop encoding time : 0.000
% 1141.02/143.88 # Success case prop solver time : 0.000
% 1141.02/143.88 # Current number of processed clauses : 2535
% 1141.02/143.88 # Positive orientable unit clauses : 60
% 1141.02/143.88 # Positive unorientable unit clauses: 0
% 1141.02/143.88 # Negative unit clauses : 29
% 1141.02/143.88 # Non-unit-clauses : 2446
% 1141.02/143.88 # Current number of unprocessed clauses: 295680
% 1141.02/143.88 # ...number of literals in the above : 2389849
% 1141.02/143.88 # Current number of archived formulas : 0
% 1141.02/143.88 # Current number of archived clauses : 1821
% 1141.02/143.88 # Clause-clause subsumption calls (NU) : 4650799
% 1141.02/143.88 # Rec. Clause-clause subsumption calls : 1066571
% 1141.02/143.88 # Non-unit clause-clause subsumptions : 24927
% 1141.02/143.88 # Unit Clause-clause subsumption calls : 6539
% 1141.02/143.88 # Rewrite failures with RHS unbound : 0
% 1141.02/143.88 # BW rewrite match attempts : 27
% 1141.02/143.88 # BW rewrite match successes : 11
% 1141.02/143.88 # Condensation attempts : 0
% 1141.02/143.88 # Condensation successes : 0
% 1141.02/143.88 # Termbank termtop insertions : 7070282
% 1141.02/143.88
% 1141.02/143.88 # -------------------------------------------------
% 1141.02/143.88 # User time : 545.645 s
% 1141.02/143.88 # System time : 5.687 s
% 1141.02/143.88 # Total time : 551.332 s
% 1141.02/143.88 # Maximum resident set size: 1892 pages
% 1141.02/143.88
% 1141.02/143.88 # -------------------------------------------------
% 1141.02/143.88 # User time : 704.002 s
% 1141.02/143.88 # System time : 8.118 s
% 1141.02/143.88 # Total time : 712.119 s
% 1141.02/143.88 # Maximum resident set size: 1728 pages
% 1141.02/143.88 % E---3.1 exiting
%------------------------------------------------------------------------------