TSTP Solution File: ALG042+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 : Wed Aug 30 16:00:34 EDT 2023
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 66 ( 30 unt; 13 typ; 0 def)
% Number of atoms : 380 ( 363 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 357 ( 30 ~; 137 |; 186 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e10: $i ).
tff(decl_23,type,
e11: $i ).
tff(decl_24,type,
e12: $i ).
tff(decl_25,type,
e13: $i ).
tff(decl_26,type,
e20: $i ).
tff(decl_27,type,
e21: $i ).
tff(decl_28,type,
e22: $i ).
tff(decl_29,type,
e23: $i ).
tff(decl_30,type,
op1: ( $i * $i ) > $i ).
tff(decl_31,type,
op2: ( $i * $i ) > $i ).
tff(decl_32,type,
h: $i > $i ).
tff(decl_33,type,
j: $i > $i ).
tff(decl_34,type,
epred1_0: $o ).
fof(co1,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e13
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e21,e20) = e21
& op2(e21,e21) = e23
& op2(e21,e22) = e20
& op2(e21,e23) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ ( epred1_0
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_5]) ).
fof(c_0_7,plain,
( epred1_0
=> ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
( epred1_0
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| ~ epred1_0 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| ~ epred1_0 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| ~ epred1_0 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| ~ epred1_0 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| ~ epred1_0 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| ~ epred1_0 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| ~ epred1_0 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
op1(e10,e10) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_12,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_16,plain,
op2(e23,e23) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_17,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_18,negated_conjecture,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
op2(e22,e22) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_21,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
op1(e11,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_23,negated_conjecture,
( h(e10) = e20
| h(e10) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_24,plain,
op2(e21,e21) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_25,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_26,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
h(e10) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_13])]) ).
cnf(c_0_31,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| j(e23) = e11 ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( j(e23) = e11
| h(e11) = e20
| h(e11) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_19]),c_0_17]) ).
cnf(c_0_34,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,negated_conjecture,
( h(e11) = e20
| j(e23) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_24]),c_0_17]) ).
cnf(c_0_37,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_38,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_39,negated_conjecture,
op1(j(e22),j(e22)) = j(e23),
inference(rw,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
j(e23) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,negated_conjecture,
op1(j(e22),j(e22)) = e11,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_13])]) ).
cnf(c_0_44,plain,
op1(e13,e13) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_45,plain,
( j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_38]) ).
cnf(c_0_46,plain,
op1(e12,e12) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_47,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48,negated_conjecture,
h(j(e22)) = e22,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49,negated_conjecture,
( j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_46]),c_0_38]) ).
cnf(c_0_50,negated_conjecture,
h(e11) = e23,
inference(rw,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
j(e22) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_20]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_51]),c_0_51]),c_0_11]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:36:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.014000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.018000 s
%------------------------------------------------------------------------------