TSTP Solution File: SEU265+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 16:23:56 EDT 2023
% Result : Theorem 6.46s 6.52s
% Output : CNFRefutation 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 84
% Syntax : Number of formulae : 163 ( 17 unt; 67 typ; 0 def)
% Number of atoms : 256 ( 64 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 283 ( 123 ~; 125 |; 16 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 23 >; 19 *; 0 +; 0 <<)
% Number of predicates : 46 ( 44 usr; 38 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 7 con; 0-3 aty)
% Number of variables : 189 ( 19 sgn; 93 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_24,type,
powerset: $i > $i ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
relation: $i > $o ).
tff(decl_27,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_28,type,
relation_dom: $i > $i ).
tff(decl_29,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_30,type,
singleton: $i > $i ).
tff(decl_31,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
empty_set: $i ).
tff(decl_35,type,
empty: $i > $o ).
tff(decl_36,type,
subset: ( $i * $i ) > $o ).
tff(decl_37,type,
relation_rng: $i > $i ).
tff(decl_38,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk5_1: $i > $i ).
tff(decl_43,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk7_0: $i ).
tff(decl_45,type,
esk8_0: $i ).
tff(decl_46,type,
esk9_0: $i ).
tff(decl_47,type,
esk10_0: $i ).
tff(decl_48,type,
esk11_0: $i ).
tff(decl_49,type,
esk12_0: $i ).
tff(decl_50,type,
esk13_1: $i > $i ).
tff(decl_51,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_52,type,
epred1_0: $o ).
tff(decl_53,type,
epred2_0: $o ).
tff(decl_54,type,
epred3_0: $o ).
tff(decl_55,type,
epred4_0: $o ).
tff(decl_56,type,
epred5_0: $o ).
tff(decl_57,type,
epred6_0: $o ).
tff(decl_58,type,
epred7_0: $o ).
tff(decl_59,type,
epred8_0: $o ).
tff(decl_60,type,
epred9_0: $o ).
tff(decl_61,type,
epred10_0: $o ).
tff(decl_62,type,
epred11_0: $o ).
tff(decl_63,type,
epred12_0: $o ).
tff(decl_64,type,
epred13_0: $o ).
tff(decl_65,type,
epred14_0: $o ).
tff(decl_66,type,
epred15_0: $o ).
tff(decl_67,type,
epred16_0: $o ).
tff(decl_68,type,
epred17_0: $o ).
tff(decl_69,type,
epred18_0: $o ).
tff(decl_70,type,
epred19_0: $o ).
tff(decl_71,type,
epred20_0: $o ).
tff(decl_72,type,
epred21_0: $o ).
tff(decl_73,type,
epred22_0: $o ).
tff(decl_74,type,
epred23_0: $o ).
tff(decl_75,type,
epred24_0: $o ).
tff(decl_76,type,
epred25_0: $o ).
tff(decl_77,type,
epred26_0: $o ).
tff(decl_78,type,
epred27_0: $o ).
tff(decl_79,type,
epred28_0: $o ).
tff(decl_80,type,
epred29_0: $o ).
tff(decl_81,type,
epred30_0: $o ).
tff(decl_82,type,
epred31_0: $o ).
tff(decl_83,type,
epred32_0: $o ).
tff(decl_84,type,
epred33_0: $o ).
tff(decl_85,type,
epred34_0: $o ).
tff(decl_86,type,
epred35_0: $o ).
tff(decl_87,type,
epred36_0: $o ).
tff(decl_88,type,
epred37_0: $o ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(dt_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> element(relation_dom_as_subset(X1,X2,X3),powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
<=> in(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t22_relset_1,conjecture,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X4,X5),X3) )
<=> relation_dom_as_subset(X2,X1,X3) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t20_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(d5_tarski,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
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/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(c_0_17,plain,
! [X72,X73,X74] :
( ~ in(X72,X73)
| ~ element(X73,powerset(X74))
| ~ empty(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_18,plain,
! [X25,X26,X27] :
( ~ relation_of2(X27,X25,X26)
| element(relation_dom_as_subset(X25,X26,X27),powerset(X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])]) ).
cnf(c_0_19,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
( element(relation_dom_as_subset(X2,X3,X1),powerset(X2))
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X43,X44,X45] :
( ~ relation_of2(X45,X43,X44)
| relation_dom_as_subset(X43,X44,X45) = relation_dom(X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
fof(c_0_22,plain,
! [X76,X77] :
( ~ in(X76,X77)
| ~ empty(X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_23,plain,
! [X64,X65] :
( ( ~ in(esk14_2(X64,X65),X64)
| ~ in(esk14_2(X64,X65),X65)
| X64 = X65 )
& ( in(esk14_2(X64,X65),X64)
| in(esk14_2(X64,X65),X65)
| X64 = X65 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
cnf(c_0_24,plain,
( ~ empty(X1)
| ~ relation_of2(X2,X1,X3)
| ~ in(X4,relation_dom_as_subset(X1,X3,X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( relation_dom_as_subset(X2,X3,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( in(esk14_2(X1,X2),X1)
| in(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X46,X47,X48] :
( ( ~ relation_of2_as_subset(X48,X46,X47)
| relation_of2(X48,X46,X47) )
& ( ~ relation_of2(X48,X46,X47)
| relation_of2_as_subset(X48,X46,X47) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
=> ( ! [X4] :
~ ( in(X4,X2)
& ! [X5] : ~ in(ordered_pair(X4,X5),X3) )
<=> relation_dom_as_subset(X2,X1,X3) = X2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_relset_1])]) ).
cnf(c_0_30,plain,
( ~ empty(X1)
| ~ relation_of2(X2,X1,X3)
| ~ in(X4,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( X1 = X2
| in(esk14_2(X1,X2),X1)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( element(relation_dom(X1),powerset(X2))
| ~ relation_of2(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_33,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,negated_conjecture,
! [X59,X60] :
( relation_of2_as_subset(esk11_0,esk10_0,esk9_0)
& ( in(esk12_0,esk10_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 )
& ( ~ in(ordered_pair(esk12_0,X59),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 )
& ( ~ in(X60,esk10_0)
| in(ordered_pair(X60,esk13_1(X60)),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
cnf(c_0_35,plain,
( relation_dom(X1) = X2
| ~ empty(X3)
| ~ empty(X2)
| ~ relation_of2(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X69,X70,X71] :
( ~ in(X69,X70)
| ~ element(X70,powerset(X71))
| element(X69,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_37,plain,
( element(relation_dom(X1),powerset(X2))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
relation_of2_as_subset(esk11_0,esk10_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( relation_dom(X1) = X2
| ~ empty(X3)
| ~ empty(X2)
| ~ relation_of2_as_subset(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
fof(c_0_41,plain,
! [X52,X53,X54] :
( ( in(X52,relation_dom(X54))
| ~ in(ordered_pair(X52,X53),X54)
| ~ relation(X54) )
& ( in(X53,relation_rng(X54))
| ~ in(ordered_pair(X52,X53),X54)
| ~ relation(X54) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
fof(c_0_42,plain,
! [X23,X24] : ordered_pair(X23,X24) = unordered_pair(unordered_pair(X23,X24),singleton(X23)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_43,plain,
! [X8,X9,X10] :
( ~ element(X10,powerset(cartesian_product2(X8,X9)))
| relation(X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_44,plain,
! [X28,X29,X30] :
( ~ relation_of2_as_subset(X30,X28,X29)
| element(X30,powerset(cartesian_product2(X28,X29))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_45,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
element(relation_dom(esk11_0),powerset(esk10_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom(esk11_0) != esk10_0
| ~ relation_of2(esk11_0,esk10_0,esk9_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_25]) ).
cnf(c_0_48,negated_conjecture,
( relation_dom(esk11_0) = X1
| ~ empty(esk10_0)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_49,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
fof(c_0_50,plain,
! [X75] :
( ~ empty(X75)
| X75 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_51,plain,
( in(X1,relation_dom(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_53,plain,
! [X11,X12] : unordered_pair(X11,X12) = unordered_pair(X12,X11),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_54,negated_conjecture,
( in(ordered_pair(X1,esk13_1(X1)),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| ~ in(X1,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_55,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_57,plain,
! [X13,X14,X15,X17,X18,X19,X21] :
( ( ~ in(X15,X14)
| in(ordered_pair(X15,esk1_3(X13,X14,X15)),X13)
| X14 != relation_dom(X13)
| ~ relation(X13) )
& ( ~ in(ordered_pair(X17,X18),X13)
| in(X17,X14)
| X14 != relation_dom(X13)
| ~ relation(X13) )
& ( ~ in(esk2_2(X13,X19),X19)
| ~ in(ordered_pair(esk2_2(X13,X19),X21),X13)
| X19 = relation_dom(X13)
| ~ relation(X13) )
& ( in(esk2_2(X13,X19),X19)
| in(ordered_pair(esk2_2(X13,X19),esk3_2(X13,X19)),X13)
| X19 = relation_dom(X13)
| ~ relation(X13) ) ),
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)],[d4_relat_1])])])])])]) ).
fof(c_0_58,plain,
! [X62,X63] :
( ~ element(X62,X63)
| empty(X63)
| in(X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_59,negated_conjecture,
( element(X1,esk10_0)
| ~ in(X1,relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_60,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_dom(esk11_0) != esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_38])]) ).
cnf(c_0_61,negated_conjecture,
( relation_dom(esk11_0) = empty_set
| ~ empty(esk10_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_62,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_64,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(X1,esk13_1(X1)),singleton(X1)),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_66,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( ~ in(ordered_pair(esk12_0,X1),esk11_0)
| relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_68,plain,
( in(ordered_pair(X1,esk1_3(X3,X2,X1)),X3)
| ~ in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,negated_conjecture,
( relation_dom(esk11_0) = X1
| element(esk14_2(relation_dom(esk11_0),X1),esk10_0)
| in(esk14_2(relation_dom(esk11_0),X1),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_27]) ).
cnf(c_0_71,negated_conjecture,
~ empty(esk10_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_26]) ).
cnf(c_0_72,plain,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
relation(esk11_0),
inference(spm,[status(thm)],[c_0_66,c_0_38]) ).
cnf(c_0_75,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(esk12_0)),esk11_0) ),
inference(rw,[status(thm)],[c_0_67,c_0_52]) ).
cnf(c_0_76,plain,
( in(unordered_pair(unordered_pair(X1,esk1_3(X3,X2,X1)),singleton(X1)),X3)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_68,c_0_52]) ).
cnf(c_0_77,negated_conjecture,
( relation_dom(esk11_0) = X1
| in(esk14_2(relation_dom(esk11_0),X1),esk10_0)
| in(esk14_2(relation_dom(esk11_0),X1),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| in(X1,relation_dom(esk11_0))
| ~ in(X1,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_79,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| ~ in(unordered_pair(singleton(esk12_0),unordered_pair(esk12_0,X1)),esk11_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_64]) ).
cnf(c_0_80,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_76,c_0_64]) ).
cnf(c_0_81,plain,
( X1 = X2
| ~ in(esk14_2(X1,X2),X1)
| ~ in(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_82,negated_conjecture,
( relation_dom(esk11_0) = esk10_0
| in(esk14_2(relation_dom(esk11_0),esk10_0),esk10_0) ),
inference(ef,[status(thm)],[c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| X1 = esk10_0
| in(esk14_2(X1,esk10_0),relation_dom(esk11_0))
| in(esk14_2(X1,esk10_0),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_27]) ).
cnf(c_0_84,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_74])]) ).
cnf(c_0_85,negated_conjecture,
( relation_dom(esk11_0) = esk10_0
| ~ in(esk14_2(relation_dom(esk11_0),esk10_0),relation_dom(esk11_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0
| in(esk14_2(relation_dom(esk11_0),esk10_0),relation_dom(esk11_0)) ),
inference(ef,[status(thm)],[c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( relation_dom(esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ relation_of2(esk11_0,esk10_0,esk9_0)
| ~ in(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_25]) ).
cnf(c_0_88,negated_conjecture,
( relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0
| relation_dom(esk11_0) = esk10_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
( relation_dom(esk11_0) != esk10_0
| X1 != relation_dom(esk11_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_33]),c_0_38])]) ).
cnf(c_0_90,negated_conjecture,
( X1 != relation_dom(esk11_0)
| ~ in(esk12_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_88]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
in(esk12_0,esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_88]),c_0_60]) ).
cnf(c_0_92,negated_conjecture,
relation_dom(esk11_0) != esk10_0,
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_93,negated_conjecture,
relation_dom_as_subset(esk10_0,esk9_0,esk11_0) = esk10_0,
inference(sr,[status(thm)],[c_0_88,c_0_92]) ).
cnf(c_0_94,negated_conjecture,
~ relation_of2(esk11_0,esk10_0,esk9_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_93]),c_0_92]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_33]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 20:04:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 6.46/6.52 % Version : CSE_E---1.5
% 6.46/6.52 % Problem : theBenchmark.p
% 6.46/6.52 % Proof found
% 6.46/6.52 % SZS status Theorem for theBenchmark.p
% 6.46/6.52 % SZS output start Proof
% See solution above
% 6.46/6.54 % Total time : 5.917000 s
% 6.46/6.54 % SZS output end Proof
% 6.46/6.54 % Total time : 5.921000 s
%------------------------------------------------------------------------------