TSTP Solution File: SEU027+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:24:36 EDT 2023
% Result : Theorem 0.14s 0.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 370 ( 117 equ)
% Maximal formula atoms : 130 ( 8 avg)
% Number of connectives : 557 ( 232 ~; 245 |; 56 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn; 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t60_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p',t60_funct_1) ).
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/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p',d5_funct_1) ).
fof(t54_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = function_inverse(X1)
<=> ( relation_dom(X2) = relation_rng(X1)
& ! [X3,X4] :
( ( ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) )
=> ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) )
=> ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p',t54_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p',dt_k2_funct_1) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p',t9_funct_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
inference(assume_negation,[status(cth)],[t60_funct_1]) ).
fof(c_0_6,negated_conjecture,
! [X65,X66] :
( relation(esk19_0)
& function(esk19_0)
& relation(esk20_0)
& function(esk20_0)
& one_to_one(esk19_0)
& relation_dom(esk19_0) = relation_rng(esk20_0)
& relation_rng(esk19_0) = relation_dom(esk20_0)
& ( apply(esk19_0,X65) != X66
| apply(esk20_0,X66) = X65
| ~ in(X65,relation_dom(esk19_0))
| ~ in(X66,relation_dom(esk20_0)) )
& ( apply(esk20_0,X66) != X65
| apply(esk19_0,X65) = X66
| ~ in(X65,relation_dom(esk19_0))
| ~ in(X66,relation_dom(esk20_0)) )
& esk20_0 != function_inverse(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_5])])])])]) ).
fof(c_0_7,plain,
! [X10,X11,X12,X14,X15,X16,X18] :
( ( in(esk1_3(X10,X11,X12),relation_dom(X10))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( X12 = apply(X10,esk1_3(X10,X11,X12))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(X15,relation_dom(X10))
| X14 != apply(X10,X15)
| in(X14,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(esk2_2(X10,X16),X16)
| ~ in(X18,relation_dom(X10))
| esk2_2(X10,X16) != apply(X10,X18)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( in(esk3_2(X10,X16),relation_dom(X10))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( esk2_2(X10,X16) = apply(X10,esk3_2(X10,X16))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ 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)],[d5_funct_1])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( apply(esk20_0,X2) = X1
| apply(esk19_0,X1) != X2
| ~ in(X1,relation_dom(esk19_0))
| ~ in(X2,relation_dom(esk20_0)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = apply(X2,esk1_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( in(esk1_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_7]) ).
fof(c_0_11,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( relation_dom(X51) = relation_rng(X50)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(X53,relation_dom(X50))
| ~ in(X52,relation_rng(X50))
| X53 != apply(X51,X52)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( X52 = apply(X50,X53)
| ~ in(X52,relation_rng(X50))
| X53 != apply(X51,X52)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(X54,relation_rng(X50))
| ~ in(X55,relation_dom(X50))
| X54 != apply(X50,X55)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( X55 = apply(X51,X54)
| ~ in(X55,relation_dom(X50))
| X54 != apply(X50,X55)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) ) ),
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)],[t54_funct_1])])])])])]) ).
fof(c_0_12,plain,
! [X20] :
( ( relation(function_inverse(X20))
| ~ relation(X20)
| ~ function(X20) )
& ( function(function_inverse(X20))
| ~ relation(X20)
| ~ function(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_13,plain,
! [X72,X73] :
( ( in(esk21_2(X72,X73),relation_dom(X72))
| relation_dom(X72) != relation_dom(X73)
| X72 = X73
| ~ relation(X73)
| ~ function(X73)
| ~ relation(X72)
| ~ function(X72) )
& ( apply(X72,esk21_2(X72,X73)) != apply(X73,esk21_2(X72,X73))
| relation_dom(X72) != relation_dom(X73)
| X72 = X73
| ~ relation(X73)
| ~ function(X73)
| ~ relation(X72)
| ~ function(X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_funct_1])])])])]) ).
cnf(c_0_14,negated_conjecture,
( apply(esk20_0,apply(esk19_0,X1)) = X1
| ~ in(apply(esk19_0,X1),relation_dom(esk20_0))
| ~ in(X1,relation_dom(esk19_0)) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( apply(X1,esk1_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
relation_rng(esk19_0) = relation_dom(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( X1 = apply(X2,X3)
| ~ in(X1,relation_dom(X4))
| X3 != apply(X4,X1)
| X2 != function_inverse(X4)
| ~ relation(X2)
| ~ function(X2)
| ~ one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( function(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( relation(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
( X1 = X2
| apply(X1,esk21_2(X1,X2)) != apply(X2,esk21_2(X1,X2))
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( apply(esk20_0,X1) = esk1_3(esk19_0,relation_dom(esk20_0),X1)
| ~ in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]),c_0_17]),c_0_18]),c_0_16])]) ).
cnf(c_0_25,negated_conjecture,
relation(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
function(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_28,plain,
( apply(function_inverse(X1),apply(X1,X2)) = X2
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]),c_0_21]),c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( apply(esk19_0,esk1_3(esk19_0,relation_dom(esk20_0),X1)) = X1
| ~ in(X1,relation_dom(esk20_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_30,negated_conjecture,
one_to_one(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
( in(esk21_2(X1,X2),relation_dom(X1))
| X1 = X2
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
( relation_dom(X1) = relation_rng(X2)
| X1 != function_inverse(X2)
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
( X1 = esk20_0
| apply(X1,esk21_2(X1,esk20_0)) != esk1_3(esk19_0,relation_dom(esk20_0),esk21_2(X1,esk20_0))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(esk21_2(X1,esk20_0),relation_dom(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( apply(function_inverse(esk19_0),X1) = esk1_3(esk19_0,relation_dom(esk20_0),X1)
| ~ in(X1,relation_dom(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_17]),c_0_18])]),c_0_27]) ).
cnf(c_0_35,negated_conjecture,
esk20_0 != function_inverse(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk20_0
| in(esk21_2(X1,esk20_0),relation_dom(X1))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_26])]) ).
cnf(c_0_37,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_21]),c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( relation_dom(function_inverse(esk19_0)) != relation_dom(esk20_0)
| ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0))
| ~ in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( function_inverse(X1) = esk20_0
| in(esk21_2(function_inverse(X1),esk20_0),relation_rng(X1))
| relation_rng(X1) != relation_dom(esk20_0)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_22]) ).
cnf(c_0_40,negated_conjecture,
( ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0))
| ~ in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_16]),c_0_30]),c_0_17]),c_0_18])]) ).
cnf(c_0_41,negated_conjecture,
in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_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_39,c_0_16]),c_0_30]),c_0_17]),c_0_18])]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
~ relation(function_inverse(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_17]),c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_22]),c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.29 % Computer : n013.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 2400
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Mon Oct 2 09:26:14 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Mpx0ZAp4Kn/E---3.1_29927.p
% 0.14/0.62 # Version: 3.1pre001
% 0.14/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.62 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.62 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.62 # Starting sh5l with 300s (1) cores
% 0.14/0.62 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30006 completed with status 0
% 0.14/0.62 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.62 # No SInE strategy applied
% 0.14/0.62 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.62 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.62 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.62 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.14/0.62 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.62 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.14/0.62 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 30010 completed with status 0
% 0.14/0.62 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.62 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.62 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.62 # No SInE strategy applied
% 0.14/0.62 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.14/0.62 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.62 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.14/0.62 # Preprocessing time : 0.001 s
% 0.14/0.62 # Presaturation interreduction done
% 0.14/0.62
% 0.14/0.62 # Proof found!
% 0.14/0.62 # SZS status Theorem
% 0.14/0.62 # SZS output start CNFRefutation
% See solution above
% 0.14/0.62 # Parsed axioms : 37
% 0.14/0.62 # Removed by relevancy pruning/SinE : 0
% 0.14/0.62 # Initial clauses : 84
% 0.14/0.62 # Removed in clause preprocessing : 2
% 0.14/0.62 # Initial clauses in saturation : 82
% 0.14/0.62 # Processed clauses : 2621
% 0.14/0.62 # ...of these trivial : 7
% 0.14/0.62 # ...subsumed : 1545
% 0.14/0.62 # ...remaining for further processing : 1069
% 0.14/0.62 # Other redundant clauses eliminated : 64
% 0.14/0.62 # Clauses deleted for lack of memory : 0
% 0.14/0.62 # Backward-subsumed : 263
% 0.14/0.62 # Backward-rewritten : 147
% 0.14/0.62 # Generated clauses : 12932
% 0.14/0.62 # ...of the previous two non-redundant : 9719
% 0.14/0.62 # ...aggressively subsumed : 0
% 0.14/0.62 # Contextual simplify-reflections : 154
% 0.14/0.62 # Paramodulations : 12853
% 0.14/0.62 # Factorizations : 0
% 0.14/0.62 # NegExts : 0
% 0.14/0.62 # Equation resolutions : 78
% 0.14/0.62 # Total rewrite steps : 15091
% 0.14/0.62 # Propositional unsat checks : 0
% 0.14/0.62 # Propositional check models : 0
% 0.14/0.62 # Propositional check unsatisfiable : 0
% 0.14/0.62 # Propositional clauses : 0
% 0.14/0.62 # Propositional clauses after purity: 0
% 0.14/0.62 # Propositional unsat core size : 0
% 0.14/0.62 # Propositional preprocessing time : 0.000
% 0.14/0.62 # Propositional encoding time : 0.000
% 0.14/0.62 # Propositional solver time : 0.000
% 0.14/0.62 # Success case prop preproc time : 0.000
% 0.14/0.62 # Success case prop encoding time : 0.000
% 0.14/0.62 # Success case prop solver time : 0.000
% 0.14/0.62 # Current number of processed clauses : 565
% 0.14/0.62 # Positive orientable unit clauses : 59
% 0.14/0.62 # Positive unorientable unit clauses: 0
% 0.14/0.62 # Negative unit clauses : 36
% 0.14/0.62 # Non-unit-clauses : 470
% 0.14/0.62 # Current number of unprocessed clauses: 6584
% 0.14/0.62 # ...number of literals in the above : 36786
% 0.14/0.62 # Current number of archived formulas : 0
% 0.14/0.62 # Current number of archived clauses : 494
% 0.14/0.62 # Clause-clause subsumption calls (NU) : 103585
% 0.14/0.62 # Rec. Clause-clause subsumption calls : 47054
% 0.14/0.62 # Non-unit clause-clause subsumptions : 1171
% 0.14/0.62 # Unit Clause-clause subsumption calls : 2434
% 0.14/0.62 # Rewrite failures with RHS unbound : 0
% 0.14/0.62 # BW rewrite match attempts : 39
% 0.14/0.62 # BW rewrite match successes : 15
% 0.14/0.62 # Condensation attempts : 0
% 0.14/0.62 # Condensation successes : 0
% 0.14/0.62 # Termbank termtop insertions : 233283
% 0.14/0.62
% 0.14/0.62 # -------------------------------------------------
% 0.14/0.62 # User time : 0.204 s
% 0.14/0.62 # System time : 0.008 s
% 0.14/0.62 # Total time : 0.212 s
% 0.14/0.62 # Maximum resident set size: 1920 pages
% 0.14/0.62
% 0.14/0.62 # -------------------------------------------------
% 0.14/0.62 # User time : 1.006 s
% 0.14/0.62 # System time : 0.036 s
% 0.14/0.62 # Total time : 1.042 s
% 0.14/0.62 # Maximum resident set size: 1732 pages
% 0.14/0.62 % E---3.1 exiting
% 0.14/0.62 % E---3.1 exiting
%------------------------------------------------------------------------------