TSTP Solution File: SEU249+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU249+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:18:17 EDT 2022
% Result : Theorem 0.23s 2.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 118 ( 10 unt; 0 def)
% Number of atoms : 328 ( 44 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 380 ( 170 ~; 169 |; 20 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 218 ( 35 sgn 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t3_subset) ).
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
| in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d2_xboole_0) ).
fof(d6_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d6_relat_1) ).
fof(t19_wellord1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,relation_field(X3))
& in(X1,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t19_wellord1) ).
fof(t99_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t99_relat_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_intersection2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_xboole_0) ).
fof(t119_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_rng(relation_rng_restriction(X1,X2)) = set_intersection2(relation_rng(X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t119_relat_1) ).
fof(t18_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t18_wellord1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k7_relat_1) ).
fof(t17_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t17_wellord1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k8_relat_1) ).
fof(l29_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',l29_wellord1) ).
fof(t90_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_dom(relation_dom_restriction(X2,X1)) = set_intersection2(relation_dom(X2),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t90_relat_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t4_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t7_boole) ).
fof(dt_k2_wellord1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k2_wellord1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(c_0_19,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_20,plain,
! [X3,X4,X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_21,plain,
! [X5,X6,X7,X8,X8,X5,X6,X7] :
( ( ~ in(X8,X7)
| in(X8,X5)
| in(X8,X6)
| X7 != set_union2(X5,X6) )
& ( ~ in(X8,X5)
| in(X8,X7)
| X7 != set_union2(X5,X6) )
& ( ~ in(X8,X6)
| in(X8,X7)
| X7 != set_union2(X5,X6) )
& ( ~ in(esk1_3(X5,X6,X7),X5)
| ~ in(esk1_3(X5,X6,X7),X7)
| X7 = set_union2(X5,X6) )
& ( ~ in(esk1_3(X5,X6,X7),X6)
| ~ in(esk1_3(X5,X6,X7),X7)
| X7 = set_union2(X5,X6) )
& ( in(esk1_3(X5,X6,X7),X7)
| in(esk1_3(X5,X6,X7),X5)
| in(esk1_3(X5,X6,X7),X6)
| X7 = set_union2(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])])]) ).
fof(c_0_22,plain,
! [X2] :
( ~ relation(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])]) ).
fof(c_0_23,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,relation_field(X3))
& in(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t19_wellord1]) ).
cnf(c_0_24,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])]) ).
cnf(c_0_27,plain,
( in(X4,X3)
| in(X4,X2)
| X1 != set_union2(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_29,negated_conjecture,
( relation(esk11_0)
& in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0)))
& ( ~ in(esk9_0,relation_field(esk11_0))
| ~ in(esk9_0,esk10_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X8,X8,X5,X6,X7] :
( ( in(X8,X5)
| ~ in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( in(X8,X6)
| ~ in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( ~ in(X8,X5)
| ~ in(X8,X6)
| in(X8,X7)
| X7 != set_intersection2(X5,X6) )
& ( ~ in(esk2_3(X5,X6,X7),X7)
| ~ in(esk2_3(X5,X6,X7),X5)
| ~ in(esk2_3(X5,X6,X7),X6)
| X7 = set_intersection2(X5,X6) )
& ( in(esk2_3(X5,X6,X7),X5)
| in(esk2_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) )
& ( in(esk2_3(X5,X6,X7),X6)
| in(esk2_3(X5,X6,X7),X7)
| X7 = set_intersection2(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])]) ).
fof(c_0_31,plain,
! [X3,X4] :
( ~ relation(X4)
| relation_rng(relation_rng_restriction(X3,X4)) = set_intersection2(relation_rng(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_relat_1])]) ).
fof(c_0_32,plain,
! [X3,X4] :
( ~ relation(X4)
| relation_restriction(X4,X3) = relation_rng_restriction(X3,relation_dom_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_wellord1])]) ).
fof(c_0_33,plain,
! [X3,X4] : set_intersection2(X3,X4) = set_intersection2(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_34,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_dom_restriction(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])])]) ).
cnf(c_0_35,plain,
( ~ subset(X1,X2)
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_36,plain,
( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X3,X4] :
( ~ relation(X4)
| relation_restriction(X4,X3) = relation_dom_restriction(relation_rng_restriction(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])]) ).
fof(c_0_38,plain,
! [X3,X4] :
( ~ relation(X4)
| relation(relation_rng_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_39,plain,
( in(X1,relation_rng(X2))
| in(X1,relation_dom(X2))
| X3 != relation_field(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_40,negated_conjecture,
in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ~ relation(X4)
| subset(relation_dom(relation_rng_restriction(X3,X4)),relation_dom(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l29_wellord1])]) ).
cnf(c_0_42,plain,
( in(X4,X3)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( relation_rng(relation_rng_restriction(X1,X2)) = set_intersection2(relation_rng(X2),X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( relation_restriction(X1,X2) = relation_rng_restriction(X2,relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( ~ relation(X1)
| ~ empty(relation_rng(X1))
| ~ in(X2,relation_rng(relation_dom_restriction(X1,X3))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,plain,
( relation_restriction(X1,X2) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
( relation(relation_rng_restriction(X1,X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
( in(esk9_0,relation_dom(X1))
| in(esk9_0,relation_rng(X1))
| relation_field(relation_restriction(esk11_0,esk10_0)) != relation_field(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,plain,
( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
( set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1))) = relation_rng(relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]) ).
fof(c_0_54,plain,
! [X3,X4] :
( ~ relation(X4)
| relation_dom(relation_dom_restriction(X4,X3)) = set_intersection2(relation_dom(X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])]) ).
cnf(c_0_55,plain,
( in(X4,X2)
| X1 != set_intersection2(X2,X3)
| ~ in(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_56,plain,
( ~ relation(X1)
| ~ empty(relation_rng(relation_rng_restriction(X2,X1)))
| ~ in(X3,relation_rng(relation_restriction(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_59,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_60,plain,
( ~ relation(X1)
| ~ empty(relation_dom(X1))
| ~ in(X2,relation_dom(relation_rng_restriction(X3,X1))) ),
inference(spm,[status(thm)],[c_0_35,c_0_51]) ).
cnf(c_0_61,plain,
( in(X1,relation_rng(relation_dom_restriction(X2,X3)))
| ~ relation(X2)
| ~ in(X1,relation_rng(relation_restriction(X2,X3))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_rng(relation_rng_restriction(esk10_0,esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_65,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( ~ relation(X1)
| ~ empty(relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X3,relation_dom(relation_restriction(X1,X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_44]),c_0_46]) ).
cnf(c_0_67,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_57]),c_0_58])]) ).
cnf(c_0_68,plain,
( in(X4,X1)
| X1 != set_union2(X2,X3)
| ~ in(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_69,plain,
( set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2))) = relation_dom(relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_48]),c_0_45]),c_0_49]) ).
cnf(c_0_70,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_rng(relation_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_63,c_0_53]) ).
cnf(c_0_71,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_43]),c_0_58])]),c_0_45]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_73,plain,
( X1 = set_intersection2(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk2_3(X2,X3,X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_74,plain,
( in(X4,X1)
| X1 != set_union2(X2,X3)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_75,plain,
( element(X1,X2)
| ~ subset(X3,X2)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_25]) ).
cnf(c_0_76,negated_conjecture,
( in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_58])]) ).
cnf(c_0_77,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_78,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_63,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,esk10_0)
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_57]),c_0_58])]) ).
fof(c_0_80,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_restriction(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])])])]) ).
cnf(c_0_81,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_71]),c_0_58])]) ).
cnf(c_0_82,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,plain,
( set_intersection2(X1,X2) = X2
| in(esk2_3(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_73]) ).
cnf(c_0_84,plain,
( in(X1,relation_dom(relation_rng_restriction(X2,X3)))
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_52,c_0_69]) ).
cnf(c_0_85,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( element(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(X1,relation_rng(relation_dom_restriction(X2,X3))) ),
inference(spm,[status(thm)],[c_0_75,c_0_36]) ).
cnf(c_0_87,negated_conjecture,
( in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_dom(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_62]),c_0_45]),c_0_58])]) ).
cnf(c_0_88,negated_conjecture,
( ~ in(esk9_0,esk10_0)
| ~ in(esk9_0,relation_field(esk11_0)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_89,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_rng(X2)) ),
inference(spm,[status(thm)],[c_0_77,c_0_28]) ).
cnf(c_0_90,negated_conjecture,
( in(esk9_0,esk10_0)
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_58])]) ).
cnf(c_0_91,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_dom(esk11_0)))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_62]),c_0_58])]),c_0_45]) ).
cnf(c_0_93,plain,
( set_intersection2(X1,X2) = X2
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,plain,
( element(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_75,c_0_51]) ).
cnf(c_0_95,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_71]),c_0_58])]) ).
cnf(c_0_96,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_85,c_0_28]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_98,negated_conjecture,
( element(esk9_0,relation_rng(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_dom(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_58])]) ).
cnf(c_0_99,negated_conjecture,
( ~ in(esk9_0,relation_rng(esk11_0))
| ~ in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_58])]) ).
cnf(c_0_100,negated_conjecture,
in(esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_58])]) ).
cnf(c_0_101,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_dom(esk11_0)))
| ~ empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
( in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_67]),c_0_58])]) ).
cnf(c_0_103,negated_conjecture,
( element(esk9_0,relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_rng(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_58])]) ).
cnf(c_0_104,negated_conjecture,
( ~ in(esk9_0,relation_dom(esk11_0))
| ~ in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_96]),c_0_58])]) ).
cnf(c_0_105,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( element(esk9_0,relation_rng(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_93]) ).
cnf(c_0_107,negated_conjecture,
~ in(esk9_0,relation_rng(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_108,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_dom(esk11_0))
| ~ empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_101,c_0_93]) ).
cnf(c_0_109,negated_conjecture,
( element(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_102]),c_0_58])]) ).
cnf(c_0_110,negated_conjecture,
( element(esk9_0,relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_103,c_0_93]) ).
cnf(c_0_111,negated_conjecture,
~ in(esk9_0,relation_dom(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_100])]) ).
cnf(c_0_112,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_dom(esk11_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( element(esk9_0,relation_rng(esk11_0))
| element(esk9_0,relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_109]),c_0_58])]) ).
cnf(c_0_114,negated_conjecture,
( ~ relation(relation_restriction(esk11_0,esk10_0))
| ~ empty(relation_rng(esk11_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( element(esk9_0,relation_dom(esk11_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_113]),c_0_107]),c_0_114]) ).
cnf(c_0_116,negated_conjecture,
~ relation(relation_restriction(esk11_0,esk10_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_115]),c_0_111]),c_0_112]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_91]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU249+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 00:06:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/2.41 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.41 # Preprocessing time : 0.017 s
% 0.23/2.41
% 0.23/2.41 # Proof found!
% 0.23/2.41 # SZS status Theorem
% 0.23/2.41 # SZS output start CNFRefutation
% See solution above
% 0.23/2.41 # Proof object total steps : 118
% 0.23/2.41 # Proof object clause steps : 79
% 0.23/2.41 # Proof object formula steps : 39
% 0.23/2.41 # Proof object conjectures : 37
% 0.23/2.41 # Proof object clause conjectures : 34
% 0.23/2.41 # Proof object formula conjectures : 3
% 0.23/2.41 # Proof object initial clauses used : 25
% 0.23/2.41 # Proof object initial formulas used : 19
% 0.23/2.41 # Proof object generating inferences : 52
% 0.23/2.41 # Proof object simplifying inferences : 59
% 0.23/2.41 # Training examples: 0 positive, 0 negative
% 0.23/2.41 # Parsed axioms : 52
% 0.23/2.41 # Removed by relevancy pruning/SinE : 0
% 0.23/2.41 # Initial clauses : 74
% 0.23/2.41 # Removed in clause preprocessing : 11
% 0.23/2.41 # Initial clauses in saturation : 63
% 0.23/2.41 # Processed clauses : 6389
% 0.23/2.41 # ...of these trivial : 34
% 0.23/2.41 # ...subsumed : 4627
% 0.23/2.41 # ...remaining for further processing : 1728
% 0.23/2.41 # Other redundant clauses eliminated : 62
% 0.23/2.41 # Clauses deleted for lack of memory : 0
% 0.23/2.41 # Backward-subsumed : 241
% 0.23/2.41 # Backward-rewritten : 52
% 0.23/2.41 # Generated clauses : 86896
% 0.23/2.41 # ...of the previous two non-trivial : 84903
% 0.23/2.41 # Contextual simplify-reflections : 4277
% 0.23/2.41 # Paramodulations : 86549
% 0.23/2.41 # Factorizations : 208
% 0.23/2.41 # Equation resolutions : 139
% 0.23/2.41 # Current number of processed clauses : 1435
% 0.23/2.41 # Positive orientable unit clauses : 42
% 0.23/2.41 # Positive unorientable unit clauses: 2
% 0.23/2.41 # Negative unit clauses : 25
% 0.23/2.41 # Non-unit-clauses : 1366
% 0.23/2.41 # Current number of unprocessed clauses: 72799
% 0.23/2.41 # ...number of literals in the above : 378073
% 0.23/2.41 # Current number of archived formulas : 0
% 0.23/2.41 # Current number of archived clauses : 293
% 0.23/2.41 # Clause-clause subsumption calls (NU) : 741413
% 0.23/2.41 # Rec. Clause-clause subsumption calls : 235988
% 0.23/2.41 # Non-unit clause-clause subsumptions : 7504
% 0.23/2.41 # Unit Clause-clause subsumption calls : 6935
% 0.23/2.41 # Rewrite failures with RHS unbound : 0
% 0.23/2.41 # BW rewrite match attempts : 68
% 0.23/2.41 # BW rewrite match successes : 32
% 0.23/2.41 # Condensation attempts : 0
% 0.23/2.41 # Condensation successes : 0
% 0.23/2.41 # Termbank termtop insertions : 1627562
% 0.23/2.41
% 0.23/2.41 # -------------------------------------------------
% 0.23/2.41 # User time : 1.249 s
% 0.23/2.41 # System time : 0.045 s
% 0.23/2.41 # Total time : 1.294 s
% 0.23/2.41 # Maximum resident set size: 71100 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------