TSTP Solution File: SEU297+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : 300s
% DateTime : Sat May 4 09:26:04 EDT 2024
% Result : Theorem 0.22s 0.57s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 63 ( 11 unt; 0 def)
% Number of atoms : 390 ( 79 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 550 ( 223 ~; 282 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 121 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e6_27__finset_1,conjecture,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hyJBa3yGc3/E---3.1_865.p',s1_xboole_0__e6_27__finset_1) ).
fof(s1_tarski__e6_27__finset_1__1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& in(relation_image(X3,X5),X2)
& X4 = X6
& in(relation_image(X3,X6),X2) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(relation_dom(X3)))
& X6 = X5
& in(relation_image(X3,X5),X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hyJBa3yGc3/E---3.1_865.p',s1_tarski__e6_27__finset_1__1) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_27__finset_1]) ).
fof(c_0_3,plain,
! [X14,X15,X16,X21,X23,X24] :
( ( in(esk9_4(X14,X15,X16,X21),powerset(relation_dom(X16)))
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk6_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( esk9_4(X14,X15,X16,X21) = X21
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk6_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(relation_image(X16,X21),X15)
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk6_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( ~ in(X24,powerset(relation_dom(X16)))
| X24 != X23
| ~ in(relation_image(X16,X23),X15)
| in(X23,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk6_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(esk9_4(X14,X15,X16,X21),powerset(relation_dom(X16)))
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk6_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( esk9_4(X14,X15,X16,X21) = X21
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk6_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(relation_image(X16,X21),X15)
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk6_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( ~ in(X24,powerset(relation_dom(X16)))
| X24 != X23
| ~ in(relation_image(X16,X23),X15)
| in(X23,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk6_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(esk9_4(X14,X15,X16,X21),powerset(relation_dom(X16)))
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( esk9_4(X14,X15,X16,X21) = X21
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(relation_image(X16,X21),X15)
| ~ in(X21,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( ~ in(X24,powerset(relation_dom(X16)))
| X24 != X23
| ~ in(relation_image(X16,X23),X15)
| in(X23,esk8_3(X14,X15,X16))
| esk5_3(X14,X15,X16) = esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(esk9_4(X14,X15,X16,X21),powerset(relation_dom(X16)))
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk7_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( esk9_4(X14,X15,X16,X21) = X21
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk7_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(relation_image(X16,X21),X15)
| ~ in(X21,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk7_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( ~ in(X24,powerset(relation_dom(X16)))
| X24 != X23
| ~ in(relation_image(X16,X23),X15)
| in(X23,esk8_3(X14,X15,X16))
| in(relation_image(X16,esk7_3(X14,X15,X16)),X15)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(esk9_4(X14,X15,X16,X21),powerset(relation_dom(X16)))
| ~ in(X21,esk8_3(X14,X15,X16))
| esk6_3(X14,X15,X16) != esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( esk9_4(X14,X15,X16,X21) = X21
| ~ in(X21,esk8_3(X14,X15,X16))
| esk6_3(X14,X15,X16) != esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( in(relation_image(X16,X21),X15)
| ~ in(X21,esk8_3(X14,X15,X16))
| esk6_3(X14,X15,X16) != esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) )
& ( ~ in(X24,powerset(relation_dom(X16)))
| X24 != X23
| ~ in(relation_image(X16,X23),X15)
| in(X23,esk8_3(X14,X15,X16))
| esk6_3(X14,X15,X16) != esk7_3(X14,X15,X16)
| ~ element(X15,powerset(powerset(X14)))
| ~ relation(X16)
| ~ function(X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[s1_tarski__e6_27__finset_1__1])])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X10] :
( element(esk2_0,powerset(powerset(esk1_0)))
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X10),X10)
| ~ in(esk4_1(X10),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X10)),esk2_0) )
& ( in(esk4_1(X10),powerset(relation_dom(esk3_0)))
| in(esk4_1(X10),X10) )
& ( in(relation_image(esk3_0,esk4_1(X10)),esk2_0)
| in(esk4_1(X10),X10) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_5,plain,
( in(esk9_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk5_3(X1,X2,X3) = esk6_3(X1,X2,X3)
| ~ in(X4,esk8_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
element(esk2_0,powerset(powerset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( esk9_4(X1,X2,X3,X4) = X4
| esk5_3(X1,X2,X3) = esk6_3(X1,X2,X3)
| ~ in(X4,esk8_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| esk9_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_11,plain,
( in(esk9_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk5_3(X1,X2,X3) = esk7_3(X1,X2,X3)
| ~ in(X4,esk8_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,plain,
( esk9_4(X1,X2,X3,X4) = X4
| esk5_3(X1,X2,X3) = esk7_3(X1,X2,X3)
| ~ in(X4,esk8_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( in(X3,esk8_3(X5,X4,X2))
| esk5_3(X5,X4,X2) = esk6_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),powerset(relation_dom(X1)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))) = esk4_1(esk8_3(esk1_0,esk2_0,X1))
| esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_16,plain,
( in(relation_image(X1,X2),X3)
| esk5_3(X4,X3,X1) = esk6_3(X4,X3,X1)
| ~ in(X2,esk8_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| esk9_4(esk1_0,esk2_0,X1,X2) = X2
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_19,plain,
( esk5_3(X1,X2,X3) = esk6_3(X1,X2,X3)
| in(X4,esk8_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(relation_image(X1,X2),esk2_0)
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(X1)),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),powerset(relation_dom(X1)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))) = esk4_1(esk8_3(esk1_0,esk2_0,X1))
| esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,X1))),esk2_0)
| in(relation_image(X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( in(relation_image(X1,X2),X3)
| esk5_3(X4,X3,X1) = esk7_3(X4,X3,X1)
| ~ in(X2,esk8_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,plain,
( in(X3,esk8_3(X5,X4,X2))
| esk5_3(X5,X4,X2) = esk7_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_34,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_21]),c_0_22])]),c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_29]),c_0_21]),c_0_22])]) ).
cnf(c_0_36,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(relation_image(X1,X2),esk2_0)
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_6]) ).
cnf(c_0_37,plain,
( esk5_3(X1,X2,X3) = esk7_3(X1,X2,X3)
| in(X4,esk8_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk7_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_32]),c_0_21]),c_0_22])]) ).
cnf(c_0_39,negated_conjecture,
esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_28]) ).
cnf(c_0_40,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,X1))),esk2_0)
| in(relation_image(X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_41,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk7_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_40]),c_0_21]),c_0_22])]) ).
cnf(c_0_44,plain,
( in(X3,esk8_3(X5,X4,X2))
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| esk6_3(X5,X4,X2) != esk7_3(X5,X4,X2)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_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_41,c_0_42]),c_0_39]),c_0_21]),c_0_22])]),c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(rw,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_47,plain,
( in(X1,esk8_3(X2,X3,X4))
| esk7_3(X2,X3,X4) != esk6_3(X2,X3,X4)
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3)
| ~ function(X4)
| ~ relation(X4)
| ~ element(X3,powerset(powerset(X2))) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_46]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( in(X1,esk8_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,X1),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_21]),c_0_22]),c_0_6])]) ).
cnf(c_0_50,plain,
( in(relation_image(X1,X2),X3)
| ~ in(X2,esk8_3(X4,X3,X1))
| esk6_3(X4,X3,X1) != esk7_3(X4,X3,X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,plain,
( in(esk9_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ in(X4,esk8_3(X1,X2,X3))
| esk6_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,negated_conjecture,
( in(esk4_1(X1),esk8_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_9]),c_0_24]) ).
cnf(c_0_53,plain,
( esk9_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk8_3(X1,X2,X3))
| esk6_3(X1,X2,X3) != esk7_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,negated_conjecture,
( in(relation_image(esk3_0,X1),esk2_0)
| ~ in(X1,esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_21]),c_0_22]),c_0_6])]) ).
cnf(c_0_55,negated_conjecture,
( in(esk9_4(esk1_0,esk2_0,esk3_0,X1),powerset(relation_dom(esk3_0)))
| ~ in(X1,esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_48]),c_0_21]),c_0_22]),c_0_6])]) ).
cnf(c_0_56,negated_conjecture,
in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( esk9_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_21]),c_0_22]),c_0_6])]) ).
cnf(c_0_58,negated_conjecture,
in(relation_image(esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(spm,[status(thm)],[c_0_54,c_0_24]) ).
cnf(c_0_59,negated_conjecture,
in(esk9_4(esk1_0,esk2_0,esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))),powerset(relation_dom(esk3_0))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
esk9_4(esk1_0,esk2_0,esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
~ in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_58])]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU297+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 07:38:26 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.hyJBa3yGc3/E---3.1_865.p
% 0.22/0.57 # Version: 3.1.0
% 0.22/0.57 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.57 # Starting sh5l with 300s (1) cores
% 0.22/0.57 # new_bool_3 with pid 999 completed with status 0
% 0.22/0.57 # Result found by new_bool_3
% 0.22/0.57 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.57 # Search class: FGHSS-FFMM32-SFFFFFNN
% 0.22/0.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.57 # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 1007 completed with status 0
% 0.22/0.57 # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.22/0.57 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.57 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.57 # Search class: FGHSS-FFMM32-SFFFFFNN
% 0.22/0.57 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.57 # Preprocessing time : 0.002 s
% 0.22/0.57 # Presaturation interreduction done
% 0.22/0.57
% 0.22/0.57 # Proof found!
% 0.22/0.57 # SZS status Theorem
% 0.22/0.57 # SZS output start CNFRefutation
% See solution above
% 0.22/0.57 # Parsed axioms : 37
% 0.22/0.57 # Removed by relevancy pruning/SinE : 10
% 0.22/0.57 # Initial clauses : 72
% 0.22/0.57 # Removed in clause preprocessing : 0
% 0.22/0.57 # Initial clauses in saturation : 72
% 0.22/0.57 # Processed clauses : 521
% 0.22/0.57 # ...of these trivial : 34
% 0.22/0.57 # ...subsumed : 132
% 0.22/0.57 # ...remaining for further processing : 355
% 0.22/0.57 # Other redundant clauses eliminated : 0
% 0.22/0.57 # Clauses deleted for lack of memory : 0
% 0.22/0.57 # Backward-subsumed : 12
% 0.22/0.57 # Backward-rewritten : 30
% 0.22/0.57 # Generated clauses : 714
% 0.22/0.57 # ...of the previous two non-redundant : 603
% 0.22/0.57 # ...aggressively subsumed : 0
% 0.22/0.57 # Contextual simplify-reflections : 13
% 0.22/0.57 # Paramodulations : 689
% 0.22/0.57 # Factorizations : 20
% 0.22/0.57 # NegExts : 0
% 0.22/0.57 # Equation resolutions : 5
% 0.22/0.57 # Disequality decompositions : 0
% 0.22/0.57 # Total rewrite steps : 597
% 0.22/0.57 # ...of those cached : 580
% 0.22/0.57 # Propositional unsat checks : 0
% 0.22/0.57 # Propositional check models : 0
% 0.22/0.57 # Propositional check unsatisfiable : 0
% 0.22/0.57 # Propositional clauses : 0
% 0.22/0.57 # Propositional clauses after purity: 0
% 0.22/0.57 # Propositional unsat core size : 0
% 0.22/0.57 # Propositional preprocessing time : 0.000
% 0.22/0.57 # Propositional encoding time : 0.000
% 0.22/0.57 # Propositional solver time : 0.000
% 0.22/0.57 # Success case prop preproc time : 0.000
% 0.22/0.57 # Success case prop encoding time : 0.000
% 0.22/0.57 # Success case prop solver time : 0.000
% 0.22/0.57 # Current number of processed clauses : 241
% 0.22/0.57 # Positive orientable unit clauses : 31
% 0.22/0.57 # Positive unorientable unit clauses: 0
% 0.22/0.57 # Negative unit clauses : 12
% 0.22/0.57 # Non-unit-clauses : 198
% 0.22/0.57 # Current number of unprocessed clauses: 201
% 0.22/0.57 # ...number of literals in the above : 1182
% 0.22/0.57 # Current number of archived formulas : 0
% 0.22/0.57 # Current number of archived clauses : 114
% 0.22/0.57 # Clause-clause subsumption calls (NU) : 18820
% 0.22/0.57 # Rec. Clause-clause subsumption calls : 2023
% 0.22/0.57 # Non-unit clause-clause subsumptions : 137
% 0.22/0.57 # Unit Clause-clause subsumption calls : 554
% 0.22/0.57 # Rewrite failures with RHS unbound : 0
% 0.22/0.57 # BW rewrite match attempts : 21
% 0.22/0.57 # BW rewrite match successes : 5
% 0.22/0.57 # Condensation attempts : 0
% 0.22/0.57 # Condensation successes : 0
% 0.22/0.57 # Termbank termtop insertions : 32386
% 0.22/0.57 # Search garbage collected termcells : 755
% 0.22/0.57
% 0.22/0.57 # -------------------------------------------------
% 0.22/0.57 # User time : 0.054 s
% 0.22/0.57 # System time : 0.004 s
% 0.22/0.57 # Total time : 0.058 s
% 0.22/0.57 # Maximum resident set size: 1844 pages
% 0.22/0.57
% 0.22/0.57 # -------------------------------------------------
% 0.22/0.57 # User time : 0.056 s
% 0.22/0.57 # System time : 0.007 s
% 0.22/0.57 # Total time : 0.062 s
% 0.22/0.57 # Maximum resident set size: 1716 pages
% 0.22/0.57 % E---3.1 exiting
% 0.75/0.58 % E exiting
%------------------------------------------------------------------------------