TSTP Solution File: SET973+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET973+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 14:36:29 EDT 2023
% Result : Theorem 1.30s 1.41s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of formulae : 90 ( 36 unt; 24 typ; 0 def)
% Number of atoms : 167 ( 72 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 161 ( 60 ~; 69 |; 23 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 18 >; 25 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-4 aty)
% Number of variables : 195 ( 12 sgn; 84 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_24,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_25,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_26,type,
subset: ( $i * $i ) > $o ).
tff(decl_27,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_28,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_29,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_30,type,
singleton: $i > $i ).
tff(decl_31,type,
empty: $i > $o ).
tff(decl_32,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk9_0: $i ).
tff(decl_41,type,
esk10_0: $i ).
tff(decl_42,type,
esk11_0: $i ).
tff(decl_43,type,
esk12_0: $i ).
tff(decl_44,type,
esk13_0: $i ).
tff(decl_45,type,
esk14_0: $i ).
fof(d4_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(d2_zfmisc_1,axiom,
! [X1,X2,X3] :
( X3 = cartesian_product2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5,X6] :
( in(X5,X1)
& in(X6,X2)
& X4 = ordered_pair(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(t125_zfmisc_1,axiom,
! [X1,X2,X3] :
( cartesian_product2(set_difference(X1,X2),X3) = set_difference(cartesian_product2(X1,X3),cartesian_product2(X2,X3))
& cartesian_product2(X3,set_difference(X1,X2)) = set_difference(cartesian_product2(X3,X1),cartesian_product2(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t125_zfmisc_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t54_xboole_1,axiom,
! [X1,X2,X3] : set_difference(X1,set_intersection2(X2,X3)) = set_union2(set_difference(X1,X2),set_difference(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_xboole_1) ).
fof(t126_zfmisc_1,conjecture,
! [X1,X2,X3,X4] : set_difference(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) = set_union2(cartesian_product2(set_difference(X1,X3),X2),cartesian_product2(X1,set_difference(X2,X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t126_zfmisc_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(t123_zfmisc_1,axiom,
! [X1,X2,X3,X4] : cartesian_product2(set_intersection2(X1,X2),set_intersection2(X3,X4)) = set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(c_0_11,plain,
! [X1,X2,X3] :
( X3 = set_difference(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X1)
& ~ in(X4,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).
fof(c_0_12,plain,
! [X49,X50,X51,X52,X53,X54,X55,X56] :
( ( in(X52,X49)
| ~ in(X52,X51)
| X51 != set_difference(X49,X50) )
& ( ~ in(X52,X50)
| ~ in(X52,X51)
| X51 != set_difference(X49,X50) )
& ( ~ in(X53,X49)
| in(X53,X50)
| in(X53,X51)
| X51 != set_difference(X49,X50) )
& ( ~ in(esk8_3(X54,X55,X56),X56)
| ~ in(esk8_3(X54,X55,X56),X54)
| in(esk8_3(X54,X55,X56),X55)
| X56 = set_difference(X54,X55) )
& ( in(esk8_3(X54,X55,X56),X54)
| in(esk8_3(X54,X55,X56),X56)
| X56 = set_difference(X54,X55) )
& ( ~ in(esk8_3(X54,X55,X56),X55)
| in(esk8_3(X54,X55,X56),X56)
| X56 = set_difference(X54,X55) ) ),
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)],[c_0_11])])])])])]) ).
fof(c_0_13,plain,
! [X26,X27,X28,X29,X32,X33,X34,X35,X36,X37,X39,X40] :
( ( in(esk2_4(X26,X27,X28,X29),X26)
| ~ in(X29,X28)
| X28 != cartesian_product2(X26,X27) )
& ( in(esk3_4(X26,X27,X28,X29),X27)
| ~ in(X29,X28)
| X28 != cartesian_product2(X26,X27) )
& ( X29 = ordered_pair(esk2_4(X26,X27,X28,X29),esk3_4(X26,X27,X28,X29))
| ~ in(X29,X28)
| X28 != cartesian_product2(X26,X27) )
& ( ~ in(X33,X26)
| ~ in(X34,X27)
| X32 != ordered_pair(X33,X34)
| in(X32,X28)
| X28 != cartesian_product2(X26,X27) )
& ( ~ in(esk4_3(X35,X36,X37),X37)
| ~ in(X39,X35)
| ~ in(X40,X36)
| esk4_3(X35,X36,X37) != ordered_pair(X39,X40)
| X37 = cartesian_product2(X35,X36) )
& ( in(esk5_3(X35,X36,X37),X35)
| in(esk4_3(X35,X36,X37),X37)
| X37 = cartesian_product2(X35,X36) )
& ( in(esk6_3(X35,X36,X37),X36)
| in(esk4_3(X35,X36,X37),X37)
| X37 = cartesian_product2(X35,X36) )
& ( esk4_3(X35,X36,X37) = ordered_pair(esk5_3(X35,X36,X37),esk6_3(X35,X36,X37))
| in(esk4_3(X35,X36,X37),X37)
| X37 = cartesian_product2(X35,X36) ) ),
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_zfmisc_1])])])])])]) ).
cnf(c_0_14,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,plain,
( in(esk2_4(X1,X2,X3,X4),X1)
| ~ in(X4,X3)
| X3 != cartesian_product2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
( in(X1,X2)
| ~ in(X1,X3)
| X3 != set_difference(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X83,X84,X85] :
( cartesian_product2(set_difference(X83,X84),X85) = set_difference(cartesian_product2(X83,X85),cartesian_product2(X84,X85))
& cartesian_product2(X85,set_difference(X83,X84)) = set_difference(cartesian_product2(X85,X83),cartesian_product2(X85,X84)) ),
inference(variable_rename,[status(thm)],[t125_zfmisc_1]) ).
cnf(c_0_21,plain,
( ~ in(esk2_4(set_difference(X1,X2),X3,cartesian_product2(set_difference(X1,X2),X3),X4),X2)
| ~ in(X4,cartesian_product2(set_difference(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( in(esk2_4(set_difference(X1,X2),X3,cartesian_product2(set_difference(X1,X2),X3),X4),X1)
| ~ in(X4,cartesian_product2(set_difference(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_23,plain,
( in(esk8_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2)
| ~ in(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( in(esk8_3(X1,X2,X3),X1)
| in(esk8_3(X1,X2,X3),X3)
| X3 = set_difference(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_25,plain,
! [X15,X16] :
( ( subset(X15,X16)
| X15 != X16 )
& ( subset(X16,X15)
| X15 != X16 )
& ( ~ subset(X15,X16)
| ~ subset(X16,X15)
| X15 = X16 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(c_0_26,plain,
! [X90,X91] : subset(set_intersection2(X90,X91),X90),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
cnf(c_0_27,plain,
cartesian_product2(X1,set_difference(X2,X3)) = set_difference(cartesian_product2(X1,X2),cartesian_product2(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
~ in(X1,cartesian_product2(set_difference(X2,X2),X3)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( X1 = set_difference(X2,X2)
| in(esk8_3(X2,X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
subset(set_intersection2(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X43,X44,X45,X46,X47] :
( ( ~ subset(X43,X44)
| ~ in(X45,X43)
| in(X45,X44) )
& ( in(esk7_2(X46,X47),X46)
| subset(X46,X47) )
& ( ~ in(esk7_2(X46,X47),X47)
| subset(X46,X47) ) ),
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_tarski])])])])])]) ).
cnf(c_0_33,plain,
( in(X1,cartesian_product2(X2,X3))
| ~ in(X1,cartesian_product2(X2,set_difference(X3,X4))) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_34,plain,
cartesian_product2(set_difference(X1,X1),X2) = set_difference(X3,X3),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( in(esk8_3(X1,X2,X3),X2)
| X3 = set_difference(X1,X2)
| ~ in(esk8_3(X1,X2,X3),X3)
| ~ in(esk8_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
( set_difference(X1,X2) = X1
| in(esk8_3(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,set_intersection2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( in(esk7_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_39,plain,
! [X95,X96,X97] : set_difference(X95,set_intersection2(X96,X97)) = set_union2(set_difference(X95,X96),set_difference(X95,X97)),
inference(variable_rename,[status(thm)],[t54_xboole_1]) ).
cnf(c_0_40,plain,
~ in(X1,set_difference(X2,X2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28]) ).
cnf(c_0_41,plain,
( set_difference(X1,X2) = X1
| in(esk8_3(X1,X2,X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).
cnf(c_0_42,plain,
( set_intersection2(X1,X2) = X1
| in(esk7_2(X1,set_intersection2(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
set_difference(X1,set_intersection2(X2,X3)) = set_union2(set_difference(X1,X2),set_difference(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
set_difference(X1,set_difference(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
set_intersection2(set_difference(X1,X1),X2) = set_difference(X1,X1),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
fof(c_0_46,negated_conjecture,
~ ! [X1,X2,X3,X4] : set_difference(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) = set_union2(cartesian_product2(set_difference(X1,X3),X2),cartesian_product2(X1,set_difference(X2,X4))),
inference(assume_negation,[status(cth)],[t126_zfmisc_1]) ).
fof(c_0_47,plain,
! [X11,X12] : set_union2(X11,X12) = set_union2(X12,X11),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
cnf(c_0_48,plain,
set_union2(X1,set_difference(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_44]) ).
cnf(c_0_49,plain,
set_difference(X1,X1) = set_difference(X2,X2),
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
fof(c_0_50,negated_conjecture,
set_difference(cartesian_product2(esk11_0,esk12_0),cartesian_product2(esk13_0,esk14_0)) != set_union2(cartesian_product2(set_difference(esk11_0,esk13_0),esk12_0),cartesian_product2(esk11_0,set_difference(esk12_0,esk14_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_51,plain,
cartesian_product2(set_difference(X1,X2),X3) = set_difference(cartesian_product2(X1,X3),cartesian_product2(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_52,plain,
! [X79,X80,X81,X82] : cartesian_product2(set_intersection2(X79,X80),set_intersection2(X81,X82)) = set_intersection2(cartesian_product2(X79,X81),cartesian_product2(X80,X82)),
inference(variable_rename,[status(thm)],[t123_zfmisc_1]) ).
fof(c_0_53,plain,
! [X13,X14] : set_intersection2(X13,X14) = set_intersection2(X14,X13),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_54,plain,
set_union2(X1,X2) = set_union2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
set_union2(X1,set_difference(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
set_difference(cartesian_product2(esk11_0,esk12_0),cartesian_product2(esk13_0,esk14_0)) != set_union2(cartesian_product2(set_difference(esk11_0,esk13_0),esk12_0),cartesian_product2(esk11_0,set_difference(esk12_0,esk14_0))),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
set_union2(set_difference(cartesian_product2(X1,X2),X3),cartesian_product2(set_difference(X1,X4),X2)) = set_difference(cartesian_product2(X1,X2),set_intersection2(X3,cartesian_product2(X4,X2))),
inference(spm,[status(thm)],[c_0_43,c_0_51]) ).
cnf(c_0_58,plain,
cartesian_product2(set_intersection2(X1,X2),set_intersection2(X3,X4)) = set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X2,X4)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
set_union2(set_difference(X1,X1),X2) = X2,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
set_union2(cartesian_product2(esk11_0,set_difference(esk12_0,esk14_0)),cartesian_product2(set_difference(esk11_0,esk13_0),esk12_0)) != set_difference(cartesian_product2(esk11_0,esk12_0),cartesian_product2(esk13_0,esk14_0)),
inference(rw,[status(thm)],[c_0_56,c_0_54]) ).
cnf(c_0_62,plain,
set_union2(cartesian_product2(X1,set_difference(X2,X3)),cartesian_product2(set_difference(X1,X4),X2)) = set_difference(cartesian_product2(X1,X2),set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X4,X2))),
inference(spm,[status(thm)],[c_0_57,c_0_27]) ).
cnf(c_0_63,plain,
set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) = set_intersection2(cartesian_product2(X1,X4),cartesian_product2(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_58]) ).
cnf(c_0_64,plain,
set_difference(X1,set_intersection2(X1,X2)) = set_difference(X1,X2),
inference(spm,[status(thm)],[c_0_43,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET973+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 09:51:13 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.47 start to proof: theBenchmark
% 1.30/1.41 % Version : CSE_E---1.5
% 1.30/1.41 % Problem : theBenchmark.p
% 1.30/1.41 % Proof found
% 1.30/1.41 % SZS status Theorem for theBenchmark.p
% 1.30/1.41 % SZS output start Proof
% See solution above
% 1.30/1.41 % Total time : 0.922000 s
% 1.30/1.41 % SZS output end Proof
% 1.30/1.41 % Total time : 0.924000 s
%------------------------------------------------------------------------------