TSTP Solution File: SEU249+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Thu Aug 31 16:23:47 EDT 2023
% Result : Theorem 12.89s 13.05s
% Output : CNFRefutation 12.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 53
% Syntax : Number of formulae : 161 ( 21 unt; 29 typ; 0 def)
% Number of atoms : 322 ( 54 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 327 ( 137 ~; 143 |; 24 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 20 >; 13 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 218 ( 29 sgn; 106 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
function: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
one_to_one: $i > $o ).
tff(decl_27,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_28,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_29,type,
relation_field: $i > $i ).
tff(decl_30,type,
relation_dom: $i > $i ).
tff(decl_31,type,
relation_rng: $i > $i ).
tff(decl_32,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_33,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_34,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_35,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_36,type,
element: ( $i * $i ) > $o ).
tff(decl_37,type,
empty_set: $i ).
tff(decl_38,type,
subset: ( $i * $i ) > $o ).
tff(decl_39,type,
powerset: $i > $i ).
tff(decl_40,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk3_1: $i > $i ).
tff(decl_43,type,
esk4_0: $i ).
tff(decl_44,type,
esk5_0: $i ).
tff(decl_45,type,
esk6_0: $i ).
tff(decl_46,type,
esk7_0: $i ).
tff(decl_47,type,
esk8_0: $i ).
tff(decl_48,type,
esk9_0: $i ).
tff(decl_49,type,
esk10_0: $i ).
tff(decl_50,type,
esk11_0: $i ).
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/sandbox/benchmark/theBenchmark.p',t19_wellord1) ).
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/sandbox/benchmark/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/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(dt_k2_wellord1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(t18_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc2_funct_1,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
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/sandbox/benchmark/theBenchmark.p',t119_relat_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(t99_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_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/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t17_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(t2_boole,axiom,
! [X1] : set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(l29_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
file('/export/starexec/sandbox/benchmark/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/sandbox/benchmark/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/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(d6_wellord1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] : relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_wellord1) ).
fof(c_0_24,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]) ).
fof(c_0_25,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20] :
( ( ~ in(X16,X15)
| in(X16,X13)
| in(X16,X14)
| X15 != set_union2(X13,X14) )
& ( ~ in(X17,X13)
| in(X17,X15)
| X15 != set_union2(X13,X14) )
& ( ~ in(X17,X14)
| in(X17,X15)
| X15 != set_union2(X13,X14) )
& ( ~ in(esk1_3(X18,X19,X20),X18)
| ~ in(esk1_3(X18,X19,X20),X20)
| X20 = set_union2(X18,X19) )
& ( ~ in(esk1_3(X18,X19,X20),X19)
| ~ in(esk1_3(X18,X19,X20),X20)
| X20 = set_union2(X18,X19) )
& ( in(esk1_3(X18,X19,X20),X20)
| in(esk1_3(X18,X19,X20),X18)
| in(esk1_3(X18,X19,X20),X19)
| X20 = set_union2(X18,X19) ) ),
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)],[d2_xboole_0])])])])])]) ).
fof(c_0_26,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_24])])]) ).
fof(c_0_27,plain,
! [X31] :
( ~ relation(X31)
| relation_field(X31) = set_union2(relation_dom(X31),relation_rng(X31)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])]) ).
cnf(c_0_28,plain,
( in(X1,X3)
| in(X1,X4)
| ~ in(X1,X2)
| X2 != set_union2(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,negated_conjecture,
in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X3,X2)) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( in(esk9_0,set_union2(relation_dom(relation_restriction(esk11_0,esk10_0)),relation_rng(relation_restriction(esk11_0,esk10_0))))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_33,plain,
! [X34,X35] :
( ~ relation(X34)
| relation(relation_restriction(X34,X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])]) ).
cnf(c_0_34,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(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_36,negated_conjecture,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X64,X65] :
( ~ relation(X65)
| relation_restriction(X65,X64) = relation_rng_restriction(X64,relation_dom_restriction(X65,X64)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_wellord1])]) ).
fof(c_0_38,plain,
! [X83] :
( ~ empty(X83)
| X83 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_39,plain,
( relation(esk6_0)
& empty(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
cnf(c_0_40,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_41,plain,
( relation_restriction(X1,X2) = relation_rng_restriction(X2,relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_42,plain,
! [X60,X61] :
( ~ relation(X61)
| relation_rng(relation_rng_restriction(X60,X61)) = set_intersection2(relation_rng(X61),X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t119_relat_1])]) ).
fof(c_0_43,plain,
! [X11,X12] : set_intersection2(X11,X12) = set_intersection2(X12,X11),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_44,plain,
! [X84,X85] :
( ~ in(X84,X85)
| ~ empty(X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_45,plain,
! [X75,X76] :
( ( ~ element(X75,powerset(X76))
| subset(X75,X76) )
& ( ~ subset(X75,X76)
| element(X75,powerset(X76)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_46,plain,
! [X90,X91] :
( ~ relation(X91)
| subset(relation_rng(relation_dom_restriction(X91,X90)),relation_rng(X91)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])]) ).
cnf(c_0_47,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [X73,X74] :
( ~ element(X73,X74)
| empty(X74)
| in(X73,X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_50,plain,
! [X40] : element(esk3_1(X40),X40),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_51,plain,
! [X22,X23,X24,X25,X26,X27,X28,X29] :
( ( in(X25,X22)
| ~ in(X25,X24)
| X24 != set_intersection2(X22,X23) )
& ( in(X25,X23)
| ~ in(X25,X24)
| X24 != set_intersection2(X22,X23) )
& ( ~ in(X26,X22)
| ~ in(X26,X23)
| in(X26,X24)
| X24 != set_intersection2(X22,X23) )
& ( ~ in(esk2_3(X27,X28,X29),X29)
| ~ in(esk2_3(X27,X28,X29),X27)
| ~ in(esk2_3(X27,X28,X29),X28)
| X29 = set_intersection2(X27,X28) )
& ( in(esk2_3(X27,X28,X29),X27)
| in(esk2_3(X27,X28,X29),X29)
| X29 = set_intersection2(X27,X28) )
& ( in(esk2_3(X27,X28,X29),X28)
| in(esk2_3(X27,X28,X29),X29)
| X29 = set_intersection2(X27,X28) ) ),
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)],[d3_xboole_0])])])])])]) ).
cnf(c_0_52,negated_conjecture,
( in(esk9_0,relation_rng(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_36])]) ).
cnf(c_0_53,plain,
( relation_rng(relation_rng_restriction(X2,X1)) = set_intersection2(relation_rng(X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_55,plain,
! [X36,X37] :
( ~ relation(X36)
| relation(relation_dom_restriction(X36,X37)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).
cnf(c_0_56,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_57,plain,
! [X80,X81,X82] :
( ~ in(X80,X81)
| ~ element(X81,powerset(X82))
| ~ empty(X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_58,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
empty_set = esk6_0,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_61,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
element(esk3_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk9_0,set_intersection2(esk10_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0))))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_65,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_66,plain,
! [X62,X63] :
( ~ relation(X63)
| relation_restriction(X63,X62) = relation_dom_restriction(relation_rng_restriction(X62,X63),X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])]) ).
cnf(c_0_67,negated_conjecture,
( in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))
| ~ empty(relation_rng(relation_restriction(esk11_0,esk10_0))) ),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_68,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( element(relation_rng(relation_dom_restriction(X1,X2)),powerset(relation_rng(X1)))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
( X1 = esk6_0
| ~ empty(X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_60]) ).
cnf(c_0_71,plain,
( empty(X1)
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_72,plain,
! [X72] : set_intersection2(X72,empty_set) = empty_set,
inference(variable_rename,[status(thm)],[t2_boole]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( in(esk9_0,set_intersection2(esk10_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0))))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_36])]) ).
cnf(c_0_75,plain,
( relation_restriction(X1,X2) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| ~ empty(relation_rng(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_41]),c_0_36])]) ).
cnf(c_0_77,plain,
( ~ relation(X1)
| ~ empty(relation_rng(X1))
| ~ in(X2,relation_rng(relation_dom_restriction(X1,X3))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,plain,
( X1 = esk6_0
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
set_intersection2(X1,empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_80,plain,
! [X52,X53] :
( ~ relation(X53)
| subset(relation_dom(relation_rng_restriction(X52,X53)),relation_dom(X53)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l29_wellord1])]) ).
cnf(c_0_81,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_75]) ).
fof(c_0_83,plain,
! [X88,X89] :
( ~ relation(X89)
| relation_dom(relation_dom_restriction(X89,X88)) = set_intersection2(relation_dom(X89),X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])]) ).
cnf(c_0_84,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0))
| ~ empty(set_intersection2(esk10_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_54]) ).
cnf(c_0_85,plain,
( relation_rng(relation_dom_restriction(X1,X2)) = esk6_0
| ~ relation(X1)
| ~ empty(relation_rng(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
set_intersection2(X1,esk6_0) = esk6_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_60]),c_0_60]) ).
cnf(c_0_87,plain,
( subset(relation_dom(relation_rng_restriction(X2,X1)),relation_dom(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_88,plain,
! [X77,X78,X79] :
( ~ in(X77,X78)
| ~ element(X78,powerset(X79))
| element(X77,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_89,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_intersection2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_90,negated_conjecture,
( ~ in(esk9_0,relation_field(esk11_0))
| ~ in(esk9_0,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_91,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_92,negated_conjecture,
( in(esk9_0,relation_dom(relation_dom_restriction(relation_rng_restriction(esk10_0,esk11_0),esk10_0)))
| in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_36])]) ).
cnf(c_0_93,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_94,plain,
! [X38,X39] :
( ~ relation(X39)
| relation(relation_rng_restriction(X38,X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
cnf(c_0_95,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0))
| ~ empty(relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_48]),c_0_36])]) ).
cnf(c_0_96,plain,
( element(relation_dom(relation_rng_restriction(X1,X2)),powerset(relation_dom(X2)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_87]) ).
fof(c_0_97,plain,
! [X32,X33] :
( ~ relation(X32)
| relation_restriction(X32,X33) = set_intersection2(X32,cartesian_product2(X33,X33)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_wellord1])])]) ).
cnf(c_0_98,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_99,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( ~ in(esk9_0,set_union2(relation_dom(esk11_0),relation_rng(esk11_0)))
| ~ in(esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_30]),c_0_36])]) ).
cnf(c_0_101,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_102,negated_conjecture,
( in(esk9_0,esk10_0)
| ~ relation(relation_rng_restriction(esk10_0,esk11_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_54]),c_0_73]) ).
cnf(c_0_103,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk3_1(relation_rng(esk11_0)),relation_rng(esk11_0))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_71]) ).
cnf(c_0_105,plain,
( ~ relation(X1)
| ~ empty(relation_dom(X1))
| ~ in(X2,relation_dom(relation_rng_restriction(X3,X1))) ),
inference(spm,[status(thm)],[c_0_68,c_0_96]) ).
cnf(c_0_106,plain,
( relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_107,plain,
( element(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(X1,relation_rng(relation_dom_restriction(X2,X3))) ),
inference(spm,[status(thm)],[c_0_98,c_0_69]) ).
cnf(c_0_108,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0))) ),
inference(spm,[status(thm)],[c_0_99,c_0_74]) ).
cnf(c_0_109,negated_conjecture,
( ~ in(esk9_0,relation_rng(esk11_0))
| ~ in(esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
in(esk9_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_36])]) ).
cnf(c_0_111,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| in(esk3_1(relation_rng(esk11_0)),relation_rng(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_65]),c_0_36])]) ).
cnf(c_0_112,plain,
( ~ relation(X1)
| ~ empty(relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X3,relation_dom(relation_dom_restriction(relation_rng_restriction(X2,X1),X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_82]),c_0_65]) ).
cnf(c_0_113,plain,
( set_intersection2(X1,cartesian_product2(X2,X2)) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_106]) ).
cnf(c_0_114,negated_conjecture,
( element(esk9_0,relation_rng(esk11_0))
| in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_36])]) ).
cnf(c_0_115,negated_conjecture,
~ in(esk9_0,relation_rng(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_116,negated_conjecture,
( in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0))))
| ~ empty(relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_111]) ).
cnf(c_0_117,plain,
( ~ relation(X1)
| ~ empty(relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X3,relation_dom(set_intersection2(X1,cartesian_product2(X2,X2)))) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
( set_intersection2(X1,cartesian_product2(X2,X2)) = relation_rng_restriction(X2,relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_106]) ).
cnf(c_0_119,plain,
( element(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_96]) ).
cnf(c_0_120,negated_conjecture,
in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,relation_dom_restriction(esk11_0,esk10_0)))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_114]),c_0_115]),c_0_116]) ).
cnf(c_0_121,plain,
( ~ relation(X1)
| ~ empty(relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X3,relation_dom(relation_rng_restriction(X2,relation_dom_restriction(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( in(X1,X3)
| ~ in(X1,X2)
| X3 != set_union2(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_123,negated_conjecture,
( element(esk9_0,relation_dom(relation_dom_restriction(esk11_0,esk10_0)))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
~ empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_36])]) ).
cnf(c_0_125,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( in(esk9_0,relation_dom(relation_dom_restriction(esk11_0,esk10_0)))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_123]),c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( ~ in(esk9_0,relation_dom(esk11_0))
| ~ in(esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( in(esk9_0,set_intersection2(esk10_0,relation_dom(esk11_0)))
| ~ relation(relation_dom_restriction(esk11_0,esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_93]),c_0_54]),c_0_36])]) ).
cnf(c_0_129,negated_conjecture,
~ in(esk9_0,relation_dom(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_110])]) ).
cnf(c_0_130,negated_conjecture,
~ relation(relation_dom_restriction(esk11_0,esk10_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_128]),c_0_129]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_65]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU249+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 13:48:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 12.89/13.05 % Version : CSE_E---1.5
% 12.89/13.05 % Problem : theBenchmark.p
% 12.89/13.05 % Proof found
% 12.89/13.05 % SZS status Theorem for theBenchmark.p
% 12.89/13.05 % SZS output start Proof
% See solution above
% 12.89/13.06 % Total time : 12.464000 s
% 12.89/13.06 % SZS output end Proof
% 12.89/13.06 % Total time : 12.468000 s
%------------------------------------------------------------------------------