TSTP Solution File: SET711+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET711+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 14:35:19 EDT 2023
% Result : Theorem 23.78s 24.08s
% Output : CNFRefutation 23.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 80
% Syntax : Number of formulae : 117 ( 12 unt; 75 typ; 0 def)
% Number of atoms : 176 ( 8 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 206 ( 72 ~; 85 |; 37 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 249 ( 69 >; 180 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-6 aty)
% Number of functors : 60 ( 60 usr; 6 con; 0-8 aty)
% Number of variables : 125 ( 0 sgn; 65 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
subset: ( $i * $i ) > $o ).
tff(decl_23,type,
member: ( $i * $i ) > $o ).
tff(decl_24,type,
equal_set: ( $i * $i ) > $o ).
tff(decl_25,type,
power_set: $i > $i ).
tff(decl_26,type,
intersection: ( $i * $i ) > $i ).
tff(decl_27,type,
union: ( $i * $i ) > $i ).
tff(decl_28,type,
empty_set: $i ).
tff(decl_29,type,
difference: ( $i * $i ) > $i ).
tff(decl_30,type,
singleton: $i > $i ).
tff(decl_31,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_32,type,
sum: $i > $i ).
tff(decl_33,type,
product: $i > $i ).
tff(decl_34,type,
maps: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
apply: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
compose_predicate: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
compose_function: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
equal_maps: ( $i * $i * $i * $i ) > $o ).
tff(decl_39,type,
identity: ( $i * $i ) > $o ).
tff(decl_40,type,
injective: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
surjective: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
one_to_one: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
inverse_predicate: ( $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
inverse_function: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
image2: ( $i * $i ) > $i ).
tff(decl_46,type,
image3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
inverse_image2: ( $i * $i ) > $i ).
tff(decl_48,type,
inverse_image3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
increasing: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_50,type,
decreasing: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_51,type,
isomorphism: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_52,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk9_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk10_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk15_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk30_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk37_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk40_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk41_0: $i ).
tff(decl_93,type,
esk42_0: $i ).
tff(decl_94,type,
esk43_0: $i ).
tff(decl_95,type,
esk44_0: $i ).
tff(decl_96,type,
esk45_0: $i ).
fof(thII03a,conjecture,
! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2)
& inverse_predicate(X10,X6,X1,X2)
& inverse_predicate(X9,X6,X1,X2) )
=> equal_maps(X10,X9,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII03a) ).
fof(equal_maps,axiom,
! [X6,X10,X1,X2] :
( equal_maps(X6,X10,X1,X2)
<=> ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X10,X3,X8) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',equal_maps) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X13,X1)
& member(X14,X1)
& member(X5,X2) )
=> ( ( apply(X6,X13,X5)
& apply(X6,X14,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(inverse_predicate,axiom,
! [X10,X6,X1,X2] :
( inverse_predicate(X10,X6,X1,X2)
<=> ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X2) )
=> ( apply(X6,X3,X5)
<=> apply(X10,X5,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_predicate) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',one_to_one) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& one_to_one(X6,X1,X2)
& inverse_predicate(X10,X6,X1,X2)
& inverse_predicate(X9,X6,X1,X2) )
=> equal_maps(X10,X9,X2,X1) ),
inference(assume_negation,[status(cth)],[thII03a]) ).
fof(c_0_6,plain,
! [X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109] :
( ( ~ equal_maps(X99,X100,X101,X102)
| ~ member(X103,X101)
| ~ member(X104,X102)
| ~ member(X105,X102)
| ~ apply(X99,X103,X104)
| ~ apply(X100,X103,X105)
| X104 = X105 )
& ( member(esk14_4(X106,X107,X108,X109),X108)
| equal_maps(X106,X107,X108,X109) )
& ( member(esk15_4(X106,X107,X108,X109),X109)
| equal_maps(X106,X107,X108,X109) )
& ( member(esk16_4(X106,X107,X108,X109),X109)
| equal_maps(X106,X107,X108,X109) )
& ( apply(X106,esk14_4(X106,X107,X108,X109),esk15_4(X106,X107,X108,X109))
| equal_maps(X106,X107,X108,X109) )
& ( apply(X107,esk14_4(X106,X107,X108,X109),esk16_4(X106,X107,X108,X109))
| equal_maps(X106,X107,X108,X109) )
& ( esk15_4(X106,X107,X108,X109) != esk16_4(X106,X107,X108,X109)
| equal_maps(X106,X107,X108,X109) ) ),
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)],[equal_maps])])])])])]) ).
fof(c_0_7,plain,
! [X119,X120,X121,X122,X123,X124,X125,X126,X127] :
( ( ~ injective(X119,X120,X121)
| ~ member(X122,X120)
| ~ member(X123,X120)
| ~ member(X124,X121)
| ~ apply(X119,X122,X124)
| ~ apply(X119,X123,X124)
| X122 = X123 )
& ( member(esk18_3(X125,X126,X127),X126)
| injective(X125,X126,X127) )
& ( member(esk19_3(X125,X126,X127),X126)
| injective(X125,X126,X127) )
& ( member(esk20_3(X125,X126,X127),X127)
| injective(X125,X126,X127) )
& ( apply(X125,esk18_3(X125,X126,X127),esk20_3(X125,X126,X127))
| injective(X125,X126,X127) )
& ( apply(X125,esk19_3(X125,X126,X127),esk20_3(X125,X126,X127))
| injective(X125,X126,X127) )
& ( esk18_3(X125,X126,X127) != esk19_3(X125,X126,X127)
| injective(X125,X126,X127) ) ),
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)],[injective])])])])])]) ).
fof(c_0_8,negated_conjecture,
( maps(esk41_0,esk44_0,esk45_0)
& one_to_one(esk41_0,esk44_0,esk45_0)
& inverse_predicate(esk42_0,esk41_0,esk44_0,esk45_0)
& inverse_predicate(esk43_0,esk41_0,esk44_0,esk45_0)
& ~ equal_maps(esk42_0,esk43_0,esk45_0,esk44_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X144,X145,X146,X147,X148,X149,X150,X151,X152,X153] :
( ( ~ apply(X145,X148,X149)
| apply(X144,X149,X148)
| ~ member(X148,X146)
| ~ member(X149,X147)
| ~ inverse_predicate(X144,X145,X146,X147) )
& ( ~ apply(X144,X149,X148)
| apply(X145,X148,X149)
| ~ member(X148,X146)
| ~ member(X149,X147)
| ~ inverse_predicate(X144,X145,X146,X147) )
& ( member(esk23_4(X150,X151,X152,X153),X152)
| inverse_predicate(X150,X151,X152,X153) )
& ( member(esk24_4(X150,X151,X152,X153),X153)
| inverse_predicate(X150,X151,X152,X153) )
& ( ~ apply(X151,esk23_4(X150,X151,X152,X153),esk24_4(X150,X151,X152,X153))
| ~ apply(X150,esk24_4(X150,X151,X152,X153),esk23_4(X150,X151,X152,X153))
| inverse_predicate(X150,X151,X152,X153) )
& ( apply(X151,esk23_4(X150,X151,X152,X153),esk24_4(X150,X151,X152,X153))
| apply(X150,esk24_4(X150,X151,X152,X153),esk23_4(X150,X151,X152,X153))
| inverse_predicate(X150,X151,X152,X153) ) ),
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)],[inverse_predicate])])])])])]) ).
cnf(c_0_10,plain,
( equal_maps(X1,X2,X3,X4)
| esk15_4(X1,X2,X3,X4) != esk16_4(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( X4 = X5
| ~ injective(X1,X2,X3)
| ~ member(X4,X2)
| ~ member(X5,X2)
| ~ member(X6,X3)
| ~ apply(X1,X4,X6)
| ~ apply(X1,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ equal_maps(esk42_0,esk43_0,esk45_0,esk44_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( member(esk16_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( member(esk15_4(X1,X2,X3,X4),X4)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( apply(X4,X3,X2)
| ~ apply(X1,X2,X3)
| ~ member(X3,X5)
| ~ member(X2,X6)
| ~ inverse_predicate(X1,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
inverse_predicate(esk43_0,esk41_0,esk44_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
inverse_predicate(esk42_0,esk41_0,esk44_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( equal_maps(X1,X2,X3,X4)
| ~ injective(X5,X6,X7)
| ~ apply(X5,esk16_4(X1,X2,X3,X4),X8)
| ~ apply(X5,esk15_4(X1,X2,X3,X4),X8)
| ~ member(esk16_4(X1,X2,X3,X4),X6)
| ~ member(esk15_4(X1,X2,X3,X4),X6)
| ~ member(X8,X7) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_19,negated_conjecture,
member(esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
member(esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
fof(c_0_21,plain,
! [X141,X142,X143] :
( ( injective(X141,X142,X143)
| ~ one_to_one(X141,X142,X143) )
& ( surjective(X141,X142,X143)
| ~ one_to_one(X141,X142,X143) )
& ( ~ injective(X141,X142,X143)
| ~ surjective(X141,X142,X143)
| one_to_one(X141,X142,X143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])]) ).
cnf(c_0_22,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ apply(esk43_0,X2,X1)
| ~ member(X1,esk44_0)
| ~ member(X2,esk45_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( member(esk14_4(X1,X2,X3,X4),X3)
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ apply(esk42_0,X2,X1)
| ~ member(X1,esk44_0)
| ~ member(X2,esk45_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( ~ injective(X1,esk44_0,X2)
| ~ apply(X1,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),X3)
| ~ apply(X1,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),X3)
| ~ member(X3,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_12]) ).
cnf(c_0_26,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( apply(esk41_0,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),X1)
| ~ apply(esk43_0,X1,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0))
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
member(esk14_4(esk42_0,esk43_0,esk45_0,esk44_0),esk45_0),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_29,plain,
( apply(X1,esk14_4(X2,X1,X3,X4),esk16_4(X2,X1,X3,X4))
| equal_maps(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( apply(esk41_0,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),X1)
| ~ apply(esk42_0,X1,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0))
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_20]) ).
cnf(c_0_31,plain,
( apply(X1,esk14_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4))
| equal_maps(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( ~ one_to_one(X1,esk44_0,X2)
| ~ apply(X1,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),X3)
| ~ apply(X1,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),X3)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
one_to_one(esk41_0,esk44_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,negated_conjecture,
( apply(esk41_0,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),esk14_4(esk42_0,esk43_0,esk45_0,esk44_0))
| ~ apply(esk43_0,esk14_4(esk42_0,esk43_0,esk45_0,esk44_0),esk16_4(esk42_0,esk43_0,esk45_0,esk44_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
apply(esk43_0,esk14_4(esk42_0,esk43_0,esk45_0,esk44_0),esk16_4(esk42_0,esk43_0,esk45_0,esk44_0)),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( apply(esk41_0,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),esk14_4(esk42_0,esk43_0,esk45_0,esk44_0))
| ~ apply(esk42_0,esk14_4(esk42_0,esk43_0,esk45_0,esk44_0),esk15_4(esk42_0,esk43_0,esk45_0,esk44_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
apply(esk42_0,esk14_4(esk42_0,esk43_0,esk45_0,esk44_0),esk15_4(esk42_0,esk43_0,esk45_0,esk44_0)),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ apply(esk41_0,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),X1)
| ~ apply(esk41_0,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),X1)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
apply(esk41_0,esk16_4(esk42_0,esk43_0,esk45_0,esk44_0),esk14_4(esk42_0,esk43_0,esk45_0,esk44_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
apply(esk41_0,esk15_4(esk42_0,esk43_0,esk45_0,esk44_0),esk14_4(esk42_0,esk43_0,esk45_0,esk44_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET711+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 13:04:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 23.78/24.08 % Version : CSE_E---1.5
% 23.78/24.08 % Problem : theBenchmark.p
% 23.78/24.08 % Proof found
% 23.78/24.08 % SZS status Theorem for theBenchmark.p
% 23.78/24.08 % SZS output start Proof
% See solution above
% 23.78/24.09 % Total time : 23.494000 s
% 23.78/24.09 % SZS output end Proof
% 23.78/24.09 % Total time : 23.499000 s
%------------------------------------------------------------------------------