TSTP Solution File: SEU181+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU181+1 : TPTP v8.2.0. Released v3.3.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:25:47 EDT 2024
% Result : Theorem 18.14s 2.71s
% Output : CNFRefutation 18.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 6 unt; 0 def)
% Number of atoms : 290 ( 112 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 391 ( 165 ~; 200 |; 12 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-3 aty)
% Number of variables : 140 ( 4 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t37_relat_1,conjecture,
! [X1] :
( relation(X1)
=> ( relation_rng(X1) = relation_dom(relation_inverse(X1))
& relation_dom(X1) = relation_rng(relation_inverse(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(d7_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_inverse(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> in(ordered_pair(X4,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_relat_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_inverse(relation_inverse(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation(relation_inverse(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( relation_rng(X1) = relation_dom(relation_inverse(X1))
& relation_dom(X1) = relation_rng(relation_inverse(X1)) ) ),
inference(assume_negation,[status(cth)],[t37_relat_1]) ).
fof(c_0_7,plain,
! [X6,X7,X8,X10,X11,X12,X14] :
( ( ~ in(X8,X7)
| in(ordered_pair(esk2_3(X6,X7,X8),X8),X6)
| X7 != relation_rng(X6)
| ~ relation(X6) )
& ( ~ in(ordered_pair(X11,X10),X6)
| in(X10,X7)
| X7 != relation_rng(X6)
| ~ relation(X6) )
& ( ~ in(esk3_2(X6,X12),X12)
| ~ in(ordered_pair(X14,esk3_2(X6,X12)),X6)
| X12 = relation_rng(X6)
| ~ relation(X6) )
& ( in(esk3_2(X6,X12),X12)
| in(ordered_pair(esk4_2(X6,X12),esk3_2(X6,X12)),X6)
| X12 = relation_rng(X6)
| ~ relation(X6) ) ),
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)],[d5_relat_1])])])])])])]) ).
fof(c_0_8,negated_conjecture,
( relation(esk1_0)
& ( relation_rng(esk1_0) != relation_dom(relation_inverse(esk1_0))
| relation_dom(esk1_0) != relation_rng(relation_inverse(esk1_0)) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X16,X17,X18,X19,X20,X21] :
( ( ~ in(ordered_pair(X18,X19),X17)
| in(ordered_pair(X19,X18),X16)
| X17 != relation_inverse(X16)
| ~ relation(X17)
| ~ relation(X16) )
& ( ~ in(ordered_pair(X21,X20),X16)
| in(ordered_pair(X20,X21),X17)
| X17 != relation_inverse(X16)
| ~ relation(X17)
| ~ relation(X16) )
& ( ~ in(ordered_pair(esk5_2(X16,X17),esk6_2(X16,X17)),X17)
| ~ in(ordered_pair(esk6_2(X16,X17),esk5_2(X16,X17)),X16)
| X17 = relation_inverse(X16)
| ~ relation(X17)
| ~ relation(X16) )
& ( in(ordered_pair(esk5_2(X16,X17),esk6_2(X16,X17)),X17)
| in(ordered_pair(esk6_2(X16,X17),esk5_2(X16,X17)),X16)
| X17 = relation_inverse(X16)
| ~ relation(X17)
| ~ relation(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)],[d7_relat_1])])])])])])]) ).
fof(c_0_10,plain,
! [X26,X27,X28,X30,X31,X32,X34] :
( ( ~ in(X28,X27)
| in(ordered_pair(X28,esk7_3(X26,X27,X28)),X26)
| X27 != relation_dom(X26)
| ~ relation(X26) )
& ( ~ in(ordered_pair(X30,X31),X26)
| in(X30,X27)
| X27 != relation_dom(X26)
| ~ relation(X26) )
& ( ~ in(esk8_2(X26,X32),X32)
| ~ in(ordered_pair(esk8_2(X26,X32),X34),X26)
| X32 = relation_dom(X26)
| ~ relation(X26) )
& ( in(esk8_2(X26,X32),X32)
| in(ordered_pair(esk8_2(X26,X32),esk9_2(X26,X32)),X26)
| X32 = relation_dom(X26)
| ~ relation(X26) ) ),
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)],[d4_relat_1])])])])])])]) ).
cnf(c_0_11,plain,
( in(esk3_2(X1,X2),X2)
| in(ordered_pair(esk4_2(X1,X2),esk3_2(X1,X2)),X1)
| X2 = relation_rng(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( in(ordered_pair(X2,X1),X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_inverse(X3)
| ~ relation(X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( in(ordered_pair(X1,esk7_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( X1 = relation_rng(esk1_0)
| in(ordered_pair(esk4_2(esk1_0,X1),esk3_2(esk1_0,X1)),esk1_0)
| in(esk3_2(esk1_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( X2 = relation_rng(X1)
| ~ in(esk3_2(X1,X2),X2)
| ~ in(ordered_pair(X3,esk3_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( in(ordered_pair(esk7_3(X1,X2,X3),X3),X4)
| X4 != relation_inverse(X1)
| X2 != relation_dom(X1)
| ~ relation(X4)
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( X1 = relation_rng(esk1_0)
| in(esk3_2(esk1_0,X1),X1)
| in(esk3_2(esk1_0,X1),X2)
| X2 != relation_rng(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).
cnf(c_0_20,plain,
( X1 = relation_rng(X2)
| X2 != relation_inverse(X3)
| X4 != relation_dom(X3)
| ~ relation(X2)
| ~ relation(X3)
| ~ in(esk3_2(X2,X1),X1)
| ~ in(esk3_2(X2,X1),X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( X1 = relation_rng(esk1_0)
| in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
| in(esk3_2(esk1_0,X1),X1) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( X1 = relation_rng(esk1_0)
| in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
| relation_inverse(X2) != esk1_0
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk3_2(esk1_0,X1),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12])]) ).
cnf(c_0_23,negated_conjecture,
( X1 = relation_rng(esk1_0)
| in(esk3_2(esk1_0,X1),relation_rng(esk1_0))
| relation_inverse(X2) != esk1_0
| X1 != relation_dom(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
fof(c_0_24,plain,
! [X25] :
( ~ relation(X25)
| relation_inverse(relation_inverse(X25)) = X25 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])])]) ).
fof(c_0_25,plain,
! [X24] :
( ~ relation(X24)
| relation(relation_inverse(X24)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])])]) ).
cnf(c_0_26,plain,
( in(ordered_pair(esk2_3(X3,X2,X1),X1),X3)
| ~ in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( relation_dom(X1) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(X1)),relation_rng(esk1_0))
| relation_inverse(X1) != esk1_0
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( relation_inverse(relation_inverse(X1)) = X1
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( relation(relation_inverse(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
( in(X1,X4)
| ~ in(ordered_pair(X1,X2),X3)
| X4 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( in(ordered_pair(X1,esk2_3(X2,X3,X1)),X4)
| X4 != relation_inverse(X2)
| X3 != relation_rng(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( relation_dom(relation_inverse(X1)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(X1))),relation_rng(esk1_0))
| X1 != esk1_0
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
( in(esk8_2(X1,X2),X2)
| in(ordered_pair(esk8_2(X1,X2),esk9_2(X1,X2)),X1)
| X2 = relation_dom(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| X3 != relation_inverse(X4)
| X5 != relation_rng(X4)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),relation_rng(esk1_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_12]) ).
cnf(c_0_36,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(ordered_pair(esk8_2(esk1_0,X1),esk9_2(esk1_0,X1)),esk1_0)
| in(esk8_2(esk1_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),X1)
| relation_rng(esk1_0) != relation_rng(X2)
| X1 != relation_dom(X3)
| X3 != relation_inverse(X2)
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),X1)
| in(esk8_2(esk1_0,X1),X2)
| X2 != relation_dom(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_12])]) ).
cnf(c_0_39,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),relation_dom(X1))
| relation_rng(esk1_0) != relation_rng(X2)
| X1 != relation_inverse(X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_40,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X3 != relation_inverse(X4)
| X5 != relation_dom(X4)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_41,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
| in(esk8_2(esk1_0,X1),X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),relation_dom(relation_inverse(X1)))
| relation_rng(esk1_0) != relation_rng(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_29]) ).
cnf(c_0_43,plain,
( X2 = relation_dom(X1)
| ~ in(esk8_2(X1,X2),X2)
| ~ in(ordered_pair(esk8_2(X1,X2),X3),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),X1)
| in(esk8_2(esk1_0,X1),X2)
| relation_dom(esk1_0) != relation_dom(X3)
| X2 != relation_rng(X4)
| X4 != relation_inverse(X3)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( X1 = relation_rng(X2)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ in(esk3_2(X2,X1),X1)
| ~ in(esk3_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_46,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),relation_dom(relation_inverse(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_12])]) ).
cnf(c_0_47,plain,
( X1 = relation_dom(X2)
| X2 != relation_inverse(X3)
| X4 != relation_rng(X3)
| ~ relation(X2)
| ~ relation(X3)
| ~ in(esk8_2(X2,X1),X1)
| ~ in(esk8_2(X2,X1),X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),X1)
| relation_dom(esk1_0) != relation_dom(X2)
| X1 != relation_rng(X3)
| X3 != relation_inverse(X2)
| ~ relation(X3)
| ~ relation(X2) ),
inference(ef,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0)
| X1 != relation_rng(esk1_0)
| ~ in(esk3_2(esk1_0,relation_dom(relation_inverse(esk1_0))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_12])]) ).
cnf(c_0_50,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
| relation_inverse(X2) != esk1_0
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ in(esk8_2(esk1_0,X1),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_12])]) ).
cnf(c_0_51,negated_conjecture,
( relation_rng(X1) = relation_dom(esk1_0)
| in(esk8_2(esk1_0,relation_rng(X1)),relation_rng(X1))
| relation_dom(esk1_0) != relation_dom(X2)
| X1 != relation_inverse(X2)
| ~ relation(X1)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( relation_rng(esk1_0) != relation_dom(relation_inverse(esk1_0))
| relation_dom(esk1_0) != relation_rng(relation_inverse(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,negated_conjecture,
relation_dom(relation_inverse(esk1_0)) = relation_rng(esk1_0),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( X1 = relation_dom(esk1_0)
| in(esk8_2(esk1_0,X1),relation_dom(esk1_0))
| relation_inverse(X2) != esk1_0
| X1 != relation_rng(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( relation_rng(relation_inverse(X1)) = relation_dom(esk1_0)
| in(esk8_2(esk1_0,relation_rng(relation_inverse(X1))),relation_rng(relation_inverse(X1)))
| relation_dom(esk1_0) != relation_dom(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_51]),c_0_29]) ).
cnf(c_0_56,negated_conjecture,
relation_rng(relation_inverse(esk1_0)) != relation_dom(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
( relation_rng(X1) = relation_dom(esk1_0)
| in(esk8_2(esk1_0,relation_rng(X1)),relation_dom(esk1_0))
| relation_inverse(X1) != esk1_0
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_58,plain,
( X1 = relation_dom(X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(esk8_2(X2,X1),X1)
| ~ in(esk8_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_14]) ).
cnf(c_0_59,negated_conjecture,
in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),relation_rng(relation_inverse(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_55]),c_0_12])]),c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( relation_rng(relation_inverse(X1)) = relation_dom(esk1_0)
| in(esk8_2(esk1_0,relation_rng(relation_inverse(X1))),relation_dom(esk1_0))
| X1 != esk1_0
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_28]),c_0_29]) ).
cnf(c_0_61,negated_conjecture,
( X1 != relation_dom(esk1_0)
| ~ in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_12])]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
in(esk8_2(esk1_0,relation_rng(relation_inverse(esk1_0))),relation_dom(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_12]),c_0_56]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU181+1 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 15:21:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 18.14/2.71 # Version: 3.1.0
% 18.14/2.71 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.14/2.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.14/2.71 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.14/2.71 # Starting new_bool_3 with 300s (1) cores
% 18.14/2.71 # Starting new_bool_1 with 300s (1) cores
% 18.14/2.71 # Starting sh5l with 300s (1) cores
% 18.14/2.71 # sh5l with pid 13888 completed with status 0
% 18.14/2.71 # Result found by sh5l
% 18.14/2.71 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.14/2.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.14/2.71 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.14/2.71 # Starting new_bool_3 with 300s (1) cores
% 18.14/2.71 # Starting new_bool_1 with 300s (1) cores
% 18.14/2.71 # Starting sh5l with 300s (1) cores
% 18.14/2.71 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.14/2.71 # Search class: FGHSM-FFMS31-SFFFFFNN
% 18.14/2.71 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 18.14/2.71 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 181s (1) cores
% 18.14/2.71 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 13896 completed with status 0
% 18.14/2.71 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 18.14/2.71 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.14/2.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.14/2.71 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.14/2.71 # Starting new_bool_3 with 300s (1) cores
% 18.14/2.71 # Starting new_bool_1 with 300s (1) cores
% 18.14/2.71 # Starting sh5l with 300s (1) cores
% 18.14/2.71 # SinE strategy is gf500_gu_R04_F100_L20000
% 18.14/2.71 # Search class: FGHSM-FFMS31-SFFFFFNN
% 18.14/2.71 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 18.14/2.71 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 181s (1) cores
% 18.14/2.71 # Preprocessing time : 0.002 s
% 18.14/2.71
% 18.14/2.71 # Proof found!
% 18.14/2.71 # SZS status Theorem
% 18.14/2.71 # SZS output start CNFRefutation
% See solution above
% 18.14/2.71 # Parsed axioms : 39
% 18.14/2.71 # Removed by relevancy pruning/SinE : 10
% 18.14/2.71 # Initial clauses : 47
% 18.14/2.71 # Removed in clause preprocessing : 0
% 18.14/2.71 # Initial clauses in saturation : 47
% 18.14/2.71 # Processed clauses : 6961
% 18.14/2.71 # ...of these trivial : 131
% 18.14/2.71 # ...subsumed : 4186
% 18.14/2.71 # ...remaining for further processing : 2644
% 18.14/2.71 # Other redundant clauses eliminated : 273
% 18.14/2.71 # Clauses deleted for lack of memory : 0
% 18.14/2.71 # Backward-subsumed : 225
% 18.14/2.71 # Backward-rewritten : 89
% 18.14/2.71 # Generated clauses : 91886
% 18.14/2.71 # ...of the previous two non-redundant : 89490
% 18.14/2.71 # ...aggressively subsumed : 0
% 18.14/2.71 # Contextual simplify-reflections : 145
% 18.14/2.71 # Paramodulations : 90645
% 18.14/2.71 # Factorizations : 155
% 18.14/2.71 # NegExts : 0
% 18.14/2.71 # Equation resolutions : 1082
% 18.14/2.71 # Disequality decompositions : 0
% 18.14/2.71 # Total rewrite steps : 11209
% 18.14/2.71 # ...of those cached : 10982
% 18.14/2.71 # Propositional unsat checks : 0
% 18.14/2.71 # Propositional check models : 0
% 18.14/2.71 # Propositional check unsatisfiable : 0
% 18.14/2.71 # Propositional clauses : 0
% 18.14/2.71 # Propositional clauses after purity: 0
% 18.14/2.71 # Propositional unsat core size : 0
% 18.14/2.71 # Propositional preprocessing time : 0.000
% 18.14/2.71 # Propositional encoding time : 0.000
% 18.14/2.71 # Propositional solver time : 0.000
% 18.14/2.71 # Success case prop preproc time : 0.000
% 18.14/2.71 # Success case prop encoding time : 0.000
% 18.14/2.71 # Success case prop solver time : 0.000
% 18.14/2.71 # Current number of processed clauses : 2324
% 18.14/2.71 # Positive orientable unit clauses : 85
% 18.14/2.71 # Positive unorientable unit clauses: 1
% 18.14/2.71 # Negative unit clauses : 39
% 18.14/2.71 # Non-unit-clauses : 2199
% 18.14/2.71 # Current number of unprocessed clauses: 81768
% 18.14/2.71 # ...number of literals in the above : 709668
% 18.14/2.71 # Current number of archived formulas : 0
% 18.14/2.71 # Current number of archived clauses : 318
% 18.14/2.71 # Clause-clause subsumption calls (NU) : 842620
% 18.14/2.71 # Rec. Clause-clause subsumption calls : 66891
% 18.14/2.71 # Non-unit clause-clause subsumptions : 2715
% 18.14/2.71 # Unit Clause-clause subsumption calls : 4942
% 18.14/2.71 # Rewrite failures with RHS unbound : 0
% 18.14/2.71 # BW rewrite match attempts : 214
% 18.14/2.71 # BW rewrite match successes : 28
% 18.14/2.71 # Condensation attempts : 0
% 18.14/2.71 # Condensation successes : 0
% 18.14/2.71 # Termbank termtop insertions : 2521222
% 18.14/2.71 # Search garbage collected termcells : 812
% 18.14/2.71
% 18.14/2.71 # -------------------------------------------------
% 18.14/2.71 # User time : 2.130 s
% 18.14/2.71 # System time : 0.072 s
% 18.14/2.71 # Total time : 2.202 s
% 18.14/2.71 # Maximum resident set size: 1844 pages
% 18.14/2.71
% 18.14/2.71 # -------------------------------------------------
% 18.14/2.71 # User time : 2.132 s
% 18.14/2.71 # System time : 0.073 s
% 18.14/2.71 # Total time : 2.205 s
% 18.14/2.71 # Maximum resident set size: 1720 pages
% 18.14/2.71 % E---3.1 exiting
% 18.14/2.71 % E exiting
%------------------------------------------------------------------------------