TSTP Solution File: SEU208+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU208+2 : 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 : n003.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 16:23:20 EDT 2023
% Result : Theorem 31.11s 31.19s
% Output : CNFRefutation 31.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 113
% Syntax : Number of formulae : 166 ( 16 unt; 107 typ; 0 def)
% Number of atoms : 185 ( 22 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 211 ( 85 ~; 101 |; 16 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 211 ( 98 >; 113 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 99 ( 99 usr; 9 con; 0-5 aty)
% Number of variables : 98 ( 1 sgn; 36 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
empty: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_27,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_28,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_29,type,
identity_relation: $i > $i ).
tff(decl_30,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_31,type,
subset: ( $i * $i ) > $o ).
tff(decl_32,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_33,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_34,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_35,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_36,type,
empty_set: $i ).
tff(decl_37,type,
set_meet: $i > $i ).
tff(decl_38,type,
singleton: $i > $i ).
tff(decl_39,type,
powerset: $i > $i ).
tff(decl_40,type,
element: ( $i * $i ) > $o ).
tff(decl_41,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_42,type,
relation_dom: $i > $i ).
tff(decl_43,type,
cast_to_subset: $i > $i ).
tff(decl_44,type,
union: $i > $i ).
tff(decl_45,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_46,type,
relation_rng: $i > $i ).
tff(decl_47,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_48,type,
relation_field: $i > $i ).
tff(decl_49,type,
relation_inverse: $i > $i ).
tff(decl_50,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_51,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_52,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_53,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_54,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_55,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_57,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk15_1: $i > $i ).
tff(decl_72,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk20_1: $i > $i ).
tff(decl_77,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk47_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk52_1: $i > $i ).
tff(decl_109,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk54_0: $i ).
tff(decl_111,type,
esk55_1: $i > $i ).
tff(decl_112,type,
esk56_0: $i ).
tff(decl_113,type,
esk57_0: $i ).
tff(decl_114,type,
esk58_1: $i > $i ).
tff(decl_115,type,
esk59_0: $i ).
tff(decl_116,type,
esk60_1: $i > $i ).
tff(decl_117,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
esk62_0: $i ).
tff(decl_119,type,
esk63_0: $i ).
tff(decl_120,type,
esk64_0: $i ).
tff(decl_121,type,
esk65_0: $i ).
tff(decl_122,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk69_1: $i > $i ).
tff(decl_126,type,
esk70_1: $i > $i ).
tff(decl_127,type,
esk71_1: $i > $i ).
tff(decl_128,type,
esk72_2: ( $i * $i ) > $i ).
fof(t166_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_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(t69_enumset1,lemma,
! [X1] : unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
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(t20_relat_1,lemma,
! [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(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t166_relat_1]) ).
fof(c_0_7,plain,
! [X218,X219] : ordered_pair(X218,X219) = unordered_pair(unordered_pair(X218,X219),singleton(X218)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
fof(c_0_8,lemma,
! [X524] : unordered_pair(X524,X524) = singleton(X524),
inference(variable_rename,[status(thm)],[t69_enumset1]) ).
fof(c_0_9,negated_conjecture,
! [X403] :
( relation(esk64_0)
& ( ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| ~ in(X403,relation_rng(esk64_0))
| ~ in(ordered_pair(esk62_0,X403),esk64_0)
| ~ in(X403,esk63_0) )
& ( in(esk65_0,relation_rng(esk64_0))
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) )
& ( in(ordered_pair(esk62_0,esk65_0),esk64_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) )
& ( in(esk65_0,esk63_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_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_6])])])])]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,lemma,
unordered_pair(X1,X1) = singleton(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X58,X59,X60,X61,X63,X64,X65,X66,X68] :
( ( in(ordered_pair(X61,esk10_4(X58,X59,X60,X61)),X58)
| ~ in(X61,X60)
| X60 != relation_inverse_image(X58,X59)
| ~ relation(X58) )
& ( in(esk10_4(X58,X59,X60,X61),X59)
| ~ in(X61,X60)
| X60 != relation_inverse_image(X58,X59)
| ~ relation(X58) )
& ( ~ in(ordered_pair(X63,X64),X58)
| ~ in(X64,X59)
| in(X63,X60)
| X60 != relation_inverse_image(X58,X59)
| ~ relation(X58) )
& ( ~ in(esk11_3(X58,X65,X66),X66)
| ~ in(ordered_pair(esk11_3(X58,X65,X66),X68),X58)
| ~ in(X68,X65)
| X66 = relation_inverse_image(X58,X65)
| ~ relation(X58) )
& ( in(ordered_pair(esk11_3(X58,X65,X66),esk12_3(X58,X65,X66)),X58)
| in(esk11_3(X58,X65,X66),X66)
| X66 = relation_inverse_image(X58,X65)
| ~ relation(X58) )
& ( in(esk12_3(X58,X65,X66),X65)
| in(esk11_3(X58,X65,X66),X66)
| X66 = relation_inverse_image(X58,X65)
| ~ relation(X58) ) ),
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)],[d14_relat_1])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( in(ordered_pair(esk62_0,esk65_0),esk64_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_15,plain,
! [X12,X13] : unordered_pair(X12,X13) = unordered_pair(X13,X12),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
fof(c_0_16,lemma,
! [X416,X417,X418] :
( ( in(X416,relation_dom(X418))
| ~ in(ordered_pair(X416,X417),X418)
| ~ relation(X418) )
& ( in(X417,relation_rng(X418))
| ~ in(ordered_pair(X416,X417),X418)
| ~ relation(X418) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_17,plain,
( in(ordered_pair(X1,esk10_4(X2,X3,X4,X1)),X2)
| ~ in(X1,X4)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| ~ in(X1,relation_rng(esk64_0))
| ~ in(ordered_pair(esk62_0,X1),esk64_0)
| ~ in(X1,esk63_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| in(unordered_pair(unordered_pair(esk62_0,esk65_0),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( in(esk10_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,lemma,
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( in(unordered_pair(unordered_pair(X1,esk10_4(X2,X3,X4,X1)),unordered_pair(X1,X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_24,plain,
( in(X1,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X2,X4)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(X1,esk63_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
inference(rw,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( in(esk10_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
relation(esk64_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
inference(rw,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_30,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk10_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_20])]) ).
cnf(c_0_31,plain,
( in(X1,X5)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
inference(rw,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_32,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
| in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28])]) ).
cnf(c_0_34,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_20]) ).
cnf(c_0_35,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
( in(esk65_0,esk63_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
| ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
| in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28])]) ).
cnf(c_0_40,negated_conjecture,
( in(esk65_0,esk63_0)
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0)
| in(esk65_0,esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_28])]) ).
cnf(c_0_42,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| in(esk65_0,esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_28])]) ).
cnf(c_0_43,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X4)),X2)
| ~ in(X4,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_44,negated_conjecture,
in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]) ).
cnf(c_0_45,negated_conjecture,
( in(esk65_0,esk63_0)
| ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_20]) ).
cnf(c_0_46,negated_conjecture,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
| in(esk65_0,esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_28])]) ).
cnf(c_0_47,negated_conjecture,
( in(esk65_0,relation_rng(esk64_0))
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_48,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,X1))
| ~ in(esk65_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28])]) ).
cnf(c_0_49,negated_conjecture,
in(esk65_0,esk63_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
( in(esk65_0,relation_rng(esk64_0))
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0)
| in(esk65_0,relation_rng(esk64_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_47]),c_0_28])]) ).
cnf(c_0_52,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| in(esk65_0,relation_rng(esk64_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_47]),c_0_28])]) ).
cnf(c_0_53,negated_conjecture,
in(esk62_0,relation_inverse_image(esk64_0,esk63_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( in(esk65_0,relation_rng(esk64_0))
| ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0)
| ~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_20]) ).
cnf(c_0_55,negated_conjecture,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0))
| in(esk65_0,relation_rng(esk64_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_52]),c_0_28])]) ).
cnf(c_0_56,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
in(esk65_0,relation_rng(esk64_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_52]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_20]),c_0_44]),c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n003.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 14:35:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 31.11/31.19 % Version : CSE_E---1.5
% 31.11/31.19 % Problem : theBenchmark.p
% 31.11/31.19 % Proof found
% 31.11/31.19 % SZS status Theorem for theBenchmark.p
% 31.11/31.19 % SZS output start Proof
% See solution above
% 31.11/31.20 % Total time : 30.609000 s
% 31.11/31.20 % SZS output end Proof
% 31.11/31.20 % Total time : 30.614000 s
%------------------------------------------------------------------------------