TSTP Solution File: GRP775+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 00:23:41 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 85 ( 26 unt; 7 typ; 0 def)
% Number of atoms : 170 ( 90 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 167 ( 75 ~; 74 |; 13 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn; 27 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
product: ( $i * $i ) > $i ).
tff(decl_23,type,
l: ( $i * $i ) > $o ).
tff(decl_24,type,
r: ( $i * $i ) > $o ).
tff(decl_25,type,
d: ( $i * $i ) > $o ).
tff(decl_26,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_27,type,
esk2_0: $i ).
tff(decl_28,type,
esk3_0: $i ).
fof(sos01,axiom,
! [X1,X2,X3] : product(product(X3,X2),X1) = product(X3,product(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(sos02,axiom,
! [X3] : product(X3,X3) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(sos04,axiom,
! [X6,X7] :
( r(X6,X7)
<=> ( product(X6,X7) = X7
& product(X7,X6) = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(sos05,axiom,
! [X8,X9] :
( d(X8,X9)
<=> ? [X10] :
( r(X8,X10)
& l(X10,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(sos03,axiom,
! [X4,X5] :
( l(X4,X5)
<=> ( product(X4,X5) = X4
& product(X5,X4) = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(goals,conjecture,
! [X11,X12] :
( d(X11,X12)
<=> ( product(X11,product(X12,X11)) = X11
& product(X12,product(X11,X12)) = X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c_0_6,plain,
! [X13,X14,X15] : product(product(X15,X14),X13) = product(X15,product(X14,X13)),
inference(variable_rename,[status(thm)],[sos01]) ).
fof(c_0_7,plain,
! [X16] : product(X16,X16) = X16,
inference(variable_rename,[status(thm)],[sos02]) ).
cnf(c_0_8,plain,
product(product(X1,X2),X3) = product(X1,product(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
product(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X19,X20] :
( ( product(X19,X20) = X20
| ~ r(X19,X20) )
& ( product(X20,X19) = X19
| ~ r(X19,X20) )
& ( product(X19,X20) != X20
| product(X20,X19) != X19
| r(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos04])])]) ).
fof(c_0_11,plain,
! [X21,X22,X24,X25,X26] :
( ( r(X21,esk1_2(X21,X22))
| ~ d(X21,X22) )
& ( l(esk1_2(X21,X22),X22)
| ~ d(X21,X22) )
& ( ~ r(X24,X26)
| ~ l(X26,X25)
| d(X24,X25) ) ),
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)],[sos05])])])])])]) ).
cnf(c_0_12,plain,
product(X1,product(X1,X2)) = product(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( product(X1,X2) = X2
| ~ r(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( r(X1,esk1_2(X1,X2))
| ~ d(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X17,X18] :
( ( product(X17,X18) = X17
| ~ l(X17,X18) )
& ( product(X18,X17) = X18
| ~ l(X17,X18) )
& ( product(X17,X18) != X17
| product(X18,X17) != X18
| l(X17,X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos03])])]) ).
cnf(c_0_16,plain,
product(X1,product(X2,product(X1,product(X2,X3)))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_8]),c_0_8]) ).
cnf(c_0_17,plain,
( product(X1,esk1_2(X1,X2)) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( product(X1,X2) = X1
| ~ l(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( l(esk1_2(X1,X2),X2)
| ~ d(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_20,negated_conjecture,
~ ! [X11,X12] :
( d(X11,X12)
<=> ( product(X11,product(X12,X11)) = X11
& product(X12,product(X11,X12)) = X12 ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_21,plain,
( product(X1,product(X2,product(X1,esk1_2(X2,X3)))) = product(X1,esk1_2(X2,X3))
| ~ d(X2,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( product(X1,esk1_2(X2,X1)) = X1
| ~ d(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,negated_conjecture,
( ( ~ d(esk2_0,esk3_0)
| product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(esk3_0,product(esk2_0,esk3_0)) != esk3_0 )
& ( product(esk2_0,product(esk3_0,esk2_0)) = esk2_0
| d(esk2_0,esk3_0) )
& ( product(esk3_0,product(esk2_0,esk3_0)) = esk3_0
| d(esk2_0,esk3_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_24,plain,
( product(X1,product(X2,X1)) = X1
| ~ d(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( product(esk3_0,product(esk2_0,esk3_0)) = esk3_0
| d(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
( d(X1,X3)
| ~ r(X1,X2)
| ~ l(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,plain,
( r(X1,X2)
| product(X1,X2) != X2
| product(X2,X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
product(esk3_0,product(esk2_0,esk3_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( d(X1,X2)
| product(X3,X1) != X1
| product(X1,X3) != X3
| ~ l(X3,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
product(esk3_0,product(esk2_0,product(esk3_0,X1))) = product(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_28]),c_0_8]) ).
cnf(c_0_31,plain,
( d(product(X1,X2),X3)
| product(X1,product(X2,X1)) != X1
| ~ l(X1,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_12]),c_0_8]) ).
cnf(c_0_32,plain,
product(X1,product(X2,product(X1,X2))) = product(X1,X2),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_33,negated_conjecture,
( product(esk3_0,product(esk2_0,esk1_2(esk3_0,X1))) = esk1_2(esk3_0,X1)
| ~ d(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_17]) ).
cnf(c_0_34,plain,
( d(product(X1,product(X2,X1)),X3)
| ~ l(product(X1,X2),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_12]),c_0_8]),c_0_9])]) ).
cnf(c_0_35,plain,
product(X1,product(X2,product(X3,product(X1,product(X2,X3))))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_32]),c_0_8]),c_0_8]) ).
cnf(c_0_36,plain,
( product(X1,product(esk1_2(X2,X1),X3)) = product(X1,X3)
| ~ d(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_22]) ).
cnf(c_0_37,negated_conjecture,
( esk1_2(esk3_0,esk2_0) = product(esk3_0,esk2_0)
| ~ d(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_38,plain,
( d(product(X1,product(X2,product(X3,product(X1,X2)))),X4)
| ~ l(product(X1,product(X2,X3)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_8]),c_0_8]),c_0_9]),c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( product(esk2_0,product(esk3_0,product(esk2_0,X1))) = product(esk2_0,X1)
| ~ d(esk3_0,esk2_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_8]) ).
cnf(c_0_40,plain,
( product(X1,X2) = X2
| ~ r(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,negated_conjecture,
( d(esk2_0,X1)
| ~ d(esk3_0,esk2_0)
| ~ l(product(esk2_0,esk3_0),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_9]),c_0_9]),c_0_12]) ).
cnf(c_0_42,plain,
( l(X1,X2)
| product(X1,X2) != X1
| product(X2,X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,negated_conjecture,
( d(esk3_0,X1)
| ~ l(product(esk3_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_44,plain,
product(X1,product(X2,product(X3,product(X1,product(X2,product(X3,X4)))))) = product(X1,product(X2,product(X3,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_8]),c_0_8]) ).
cnf(c_0_45,plain,
( product(esk1_2(X1,X2),X1) = X1
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_14]) ).
cnf(c_0_46,negated_conjecture,
( ~ d(esk2_0,esk3_0)
| product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(esk3_0,product(esk2_0,esk3_0)) != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_47,negated_conjecture,
( d(esk2_0,X1)
| product(esk2_0,product(esk3_0,X1)) != product(esk2_0,esk3_0)
| product(X1,product(esk2_0,esk3_0)) != X1
| ~ d(esk3_0,esk2_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_8]) ).
cnf(c_0_48,negated_conjecture,
( d(esk3_0,X1)
| product(esk3_0,product(esk2_0,X1)) != product(esk3_0,esk2_0)
| product(X1,product(esk3_0,esk2_0)) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_8]) ).
cnf(c_0_49,negated_conjecture,
product(X1,product(esk3_0,product(esk2_0,product(X1,product(esk3_0,X2))))) = product(X1,product(esk3_0,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_50,plain,
product(X1,product(X2,product(X3,product(X2,product(X1,product(X2,X3)))))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_9]),c_0_8]) ).
cnf(c_0_51,negated_conjecture,
product(X1,product(esk3_0,product(esk2_0,product(X1,esk3_0)))) = product(X1,esk3_0),
inference(spm,[status(thm)],[c_0_44,c_0_28]) ).
cnf(c_0_52,plain,
( product(esk1_2(X1,X2),product(X1,X3)) = product(X1,X3)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| ~ d(esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_28])]) ).
cnf(c_0_54,negated_conjecture,
( d(esk2_0,X1)
| product(esk2_0,product(esk3_0,X1)) != product(esk2_0,esk3_0)
| product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(X1,product(esk2_0,esk3_0)) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_9])]) ).
cnf(c_0_55,negated_conjecture,
product(X1,product(esk3_0,product(X1,product(esk2_0,product(X1,esk3_0))))) = product(X1,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,plain,
( product(X1,X2) = X1
| ~ l(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_57,plain,
( product(X1,product(esk1_2(X2,X3),product(X1,product(X2,X4)))) = product(X1,product(X2,X4))
| ~ d(X2,X3) ),
inference(spm,[status(thm)],[c_0_16,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) = esk2_0
| d(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_59,negated_conjecture,
product(esk2_0,product(esk3_0,esk2_0)) != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_9]),c_0_28])]) ).
cnf(c_0_60,negated_conjecture,
product(esk3_0,product(X1,product(esk2_0,product(X1,esk3_0)))) = product(esk3_0,product(X1,esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_55]) ).
cnf(c_0_61,plain,
( product(esk1_2(X1,X2),X2) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_19]) ).
cnf(c_0_62,negated_conjecture,
( product(esk3_0,product(esk1_2(esk2_0,X1),esk3_0)) = esk3_0
| ~ d(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
cnf(c_0_63,negated_conjecture,
d(esk2_0,esk3_0),
inference(sr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( product(X1,product(esk1_2(X1,X2),X3)) = product(esk1_2(X1,X2),X3)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_17]) ).
cnf(c_0_65,negated_conjecture,
( product(esk3_0,product(esk1_2(esk3_0,X1),product(esk2_0,esk3_0))) = esk3_0
| ~ d(esk3_0,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_45]),c_0_9]) ).
cnf(c_0_66,plain,
( product(esk1_2(X1,X2),product(X2,esk1_2(X1,X2))) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
cnf(c_0_67,negated_conjecture,
product(esk3_0,esk1_2(esk2_0,esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_63])]) ).
cnf(c_0_68,negated_conjecture,
( product(esk1_2(esk3_0,X1),product(esk2_0,esk3_0)) = esk3_0
| ~ d(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( d(X1,X2)
| ~ l(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_9]),c_0_9])]) ).
cnf(c_0_70,negated_conjecture,
product(esk1_2(esk2_0,esk3_0),esk3_0) = esk1_2(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_63])]) ).
cnf(c_0_71,negated_conjecture,
( product(X1,product(esk2_0,esk3_0)) = product(X1,esk3_0)
| ~ d(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_68]) ).
cnf(c_0_72,plain,
( d(X1,X2)
| product(X2,X1) != X2
| product(X1,X2) != X1 ),
inference(spm,[status(thm)],[c_0_69,c_0_42]) ).
cnf(c_0_73,negated_conjecture,
product(esk1_2(esk2_0,esk3_0),product(esk3_0,X1)) = product(esk1_2(esk2_0,esk3_0),X1),
inference(spm,[status(thm)],[c_0_8,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( product(X1,product(esk2_0,esk3_0)) = product(X1,esk3_0)
| product(esk3_0,X1) != esk3_0
| product(X1,esk3_0) != X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
product(esk1_2(esk2_0,esk3_0),product(esk2_0,esk3_0)) = esk1_2(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_9]),c_0_70]),c_0_9])]) ).
cnf(c_0_76,negated_conjecture,
esk1_2(esk2_0,esk3_0) = product(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_75]),c_0_63])]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_76]),c_0_8]),c_0_63])]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 02:47:09 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.71 % Version : CSE_E---1.5
% 0.20/0.71 % Problem : theBenchmark.p
% 0.20/0.71 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark.p
% 0.20/0.72 % SZS output start Proof
% See solution above
% 0.20/0.72 % Total time : 0.132000 s
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time : 0.135000 s
%------------------------------------------------------------------------------