TSTP Solution File: SEU254+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU254+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 : 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 16:23:49 EDT 2023
% Result : Theorem 0.78s 0.84s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 86 ( 11 unt; 25 typ; 0 def)
% Number of atoms : 181 ( 6 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 200 ( 80 ~; 97 |; 12 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 17 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 132 ( 13 sgn; 38 !; 0 ?; 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,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_28,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_29,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_30,type,
singleton: $i > $i ).
tff(decl_31,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_32,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_33,type,
element: ( $i * $i ) > $o ).
tff(decl_34,type,
empty_set: $i ).
tff(decl_35,type,
transitive: $i > $o ).
tff(decl_36,type,
esk1_1: $i > $i ).
tff(decl_37,type,
esk2_1: $i > $i ).
tff(decl_38,type,
esk3_1: $i > $i ).
tff(decl_39,type,
esk4_1: $i > $i ).
tff(decl_40,type,
esk5_0: $i ).
tff(decl_41,type,
esk6_0: $i ).
tff(decl_42,type,
esk7_0: $i ).
tff(decl_43,type,
esk8_0: $i ).
tff(decl_44,type,
esk9_0: $i ).
tff(decl_45,type,
esk10_0: $i ).
tff(decl_46,type,
esk11_0: $i ).
fof(l2_wellord1,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X4),X1) )
=> in(ordered_pair(X2,X4),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
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(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(dt_k2_wellord1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(t24_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> ( transitive(X2)
=> transitive(relation_restriction(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
fof(t106_zfmisc_1,axiom,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(t16_wellord1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_restriction(X3,X2))
<=> ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
fof(c_0_7,plain,
! [X24,X25,X26,X27] :
( ( ~ transitive(X24)
| ~ in(ordered_pair(X25,X26),X24)
| ~ in(ordered_pair(X26,X27),X24)
| in(ordered_pair(X25,X27),X24)
| ~ relation(X24) )
& ( in(ordered_pair(esk2_1(X24),esk3_1(X24)),X24)
| transitive(X24)
| ~ relation(X24) )
& ( in(ordered_pair(esk3_1(X24),esk4_1(X24)),X24)
| transitive(X24)
| ~ relation(X24) )
& ( ~ in(ordered_pair(esk2_1(X24),esk4_1(X24)),X24)
| transitive(X24)
| ~ relation(X24) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_wellord1])])])])]) ).
fof(c_0_8,plain,
! [X13,X14] : ordered_pair(X13,X14) = unordered_pair(unordered_pair(X13,X14),singleton(X13)),
inference(variable_rename,[status(thm)],[d5_tarski]) ).
cnf(c_0_9,plain,
( in(ordered_pair(esk3_1(X1),esk4_1(X1)),X1)
| transitive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X9,X10] : unordered_pair(X9,X10) = unordered_pair(X10,X9),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_12,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk3_1(X1),esk4_1(X1)),singleton(esk3_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X17,X18] :
( ~ relation(X17)
| relation(relation_restriction(X17,X18)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_wellord1])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( transitive(X2)
=> transitive(relation_restriction(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[t24_wellord1]) ).
cnf(c_0_16,plain,
( in(ordered_pair(esk2_1(X1),esk3_1(X1)),X1)
| transitive(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_17,plain,
! [X36,X37,X38,X39] :
( ( in(X36,X38)
| ~ in(ordered_pair(X36,X37),cartesian_product2(X38,X39)) )
& ( in(X37,X39)
| ~ in(ordered_pair(X36,X37),cartesian_product2(X38,X39)) )
& ( ~ in(X36,X38)
| ~ in(X37,X39)
| in(ordered_pair(X36,X37),cartesian_product2(X38,X39)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])]) ).
cnf(c_0_18,plain,
( transitive(X1)
| in(unordered_pair(singleton(esk3_1(X1)),unordered_pair(esk3_1(X1),esk4_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,negated_conjecture,
( relation(esk11_0)
& transitive(esk11_0)
& ~ transitive(relation_restriction(esk11_0,esk10_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_21,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_16,c_0_10]) ).
fof(c_0_22,plain,
! [X40,X41,X42] :
( ( in(X40,X42)
| ~ in(X40,relation_restriction(X42,X41))
| ~ relation(X42) )
& ( in(X40,cartesian_product2(X41,X41))
| ~ in(X40,relation_restriction(X42,X41))
| ~ relation(X42) )
& ( ~ in(X40,X42)
| ~ in(X40,cartesian_product2(X41,X41))
| in(X40,relation_restriction(X42,X41))
| ~ relation(X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_wellord1])])]) ).
cnf(c_0_23,plain,
( in(ordered_pair(X1,X3),cartesian_product2(X2,X4))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( in(ordered_pair(X2,X4),X1)
| ~ transitive(X1)
| ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X4),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_25,plain,
( transitive(relation_restriction(X1,X2))
| in(unordered_pair(singleton(esk3_1(relation_restriction(X1,X2))),unordered_pair(esk3_1(relation_restriction(X1,X2)),esk4_1(relation_restriction(X1,X2)))),relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
relation(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( transitive(X1)
| in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_28,plain,
( transitive(X1)
| ~ in(ordered_pair(esk2_1(X1),esk4_1(X1)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,plain,
( in(X1,relation_restriction(X2,X3))
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4))
| ~ in(X3,X4)
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[c_0_23,c_0_10]) ).
cnf(c_0_31,plain,
( in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X1)
| ~ relation(X1)
| ~ transitive(X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_32,plain,
( in(X1,X2)
| ~ in(X1,relation_restriction(X2,X3))
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,X1))),unordered_pair(esk3_1(relation_restriction(esk11_0,X1)),esk4_1(relation_restriction(esk11_0,X1)))),relation_restriction(esk11_0,X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( transitive(relation_restriction(X1,X2))
| in(unordered_pair(singleton(esk2_1(relation_restriction(X1,X2))),unordered_pair(esk2_1(relation_restriction(X1,X2)),esk3_1(relation_restriction(X1,X2)))),relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_35,plain,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),cartesian_product2(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,plain,
( in(X1,X2)
| ~ in(ordered_pair(X3,X1),cartesian_product2(X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk4_1(X1)),singleton(esk2_1(X1))),X1) ),
inference(rw,[status(thm)],[c_0_28,c_0_10]) ).
cnf(c_0_38,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_restriction(X3,X4))
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ transitive(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_13]) ).
cnf(c_0_40,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,X1))),unordered_pair(esk3_1(relation_restriction(esk11_0,X1)),esk4_1(relation_restriction(esk11_0,X1)))),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26])]) ).
cnf(c_0_41,negated_conjecture,
transitive(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,X1))),unordered_pair(esk2_1(relation_restriction(esk11_0,X1)),esk3_1(relation_restriction(esk11_0,X1)))),relation_restriction(esk11_0,X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_26]) ).
cnf(c_0_43,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
inference(rw,[status(thm)],[c_0_35,c_0_10]) ).
cnf(c_0_44,plain,
( in(X1,cartesian_product2(X2,X2))
| ~ in(X1,relation_restriction(X3,X2))
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
inference(rw,[status(thm)],[c_0_36,c_0_10]) ).
cnf(c_0_46,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk4_1(X1))),X1) ),
inference(rw,[status(thm)],[c_0_37,c_0_13]) ).
cnf(c_0_47,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_restriction(X3,X4))
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_13]) ).
cnf(c_0_48,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(X2),unordered_pair(X2,esk4_1(relation_restriction(esk11_0,X1)))),esk11_0)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,esk3_1(relation_restriction(esk11_0,X1)))),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_13]),c_0_41]),c_0_26]),c_0_13])]) ).
cnf(c_0_49,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,X1))),unordered_pair(esk2_1(relation_restriction(esk11_0,X1)),esk3_1(relation_restriction(esk11_0,X1)))),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_42]),c_0_26])]) ).
cnf(c_0_50,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_43,c_0_13]) ).
cnf(c_0_51,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,X1))),unordered_pair(esk2_1(relation_restriction(esk11_0,X1)),esk3_1(relation_restriction(esk11_0,X1)))),cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_26])]) ).
cnf(c_0_52,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,X1))),unordered_pair(esk3_1(relation_restriction(esk11_0,X1)),esk4_1(relation_restriction(esk11_0,X1)))),cartesian_product2(X1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_26])]) ).
cnf(c_0_54,plain,
( transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_1(relation_restriction(X1,X2))),unordered_pair(esk2_1(relation_restriction(X1,X2)),esk4_1(relation_restriction(X1,X2)))),X1)
| ~ in(esk4_1(relation_restriction(X1,X2)),X2)
| ~ in(esk2_1(relation_restriction(X1,X2)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19]) ).
cnf(c_0_55,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,X1))),unordered_pair(esk2_1(relation_restriction(esk11_0,X1)),esk4_1(relation_restriction(esk11_0,X1)))),esk11_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(esk2_1(relation_restriction(esk11_0,X1)),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( transitive(relation_restriction(esk11_0,X1))
| in(esk4_1(relation_restriction(esk11_0,X1)),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
~ transitive(relation_restriction(esk11_0,esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,negated_conjecture,
transitive(relation_restriction(esk11_0,X1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_26])]),c_0_56]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU254+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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:38:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.78/0.84 % Version : CSE_E---1.5
% 0.78/0.84 % Problem : theBenchmark.p
% 0.78/0.84 % Proof found
% 0.78/0.84 % SZS status Theorem for theBenchmark.p
% 0.78/0.84 % SZS output start Proof
% See solution above
% 0.78/0.85 % Total time : 0.265000 s
% 0.78/0.85 % SZS output end Proof
% 0.78/0.85 % Total time : 0.269000 s
%------------------------------------------------------------------------------