TSTP Solution File: CAT019-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT019-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 18:13:50 EDT 2023
% Result : Unsatisfiable 0.66s 0.82s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Sun Aug 27 00:26:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.66/0.82 %-------------------------------------------
% 0.66/0.82 % File :CSE---1.6
% 0.66/0.82 % Problem :theBenchmark
% 0.66/0.82 % Transform :cnf
% 0.66/0.82 % Format :tptp:raw
% 0.66/0.82 % Command :java -jar mcs_scs.jar %d %s
% 0.66/0.82
% 0.66/0.82 % Result :Theorem 0.200000s
% 0.66/0.82 % Output :CNFRefutation 0.200000s
% 0.66/0.82 %-------------------------------------------
% 0.66/0.82 %--------------------------------------------------------------------------
% 0.66/0.82 % File : CAT019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.66/0.82 % Domain : Category Theory
% 0.66/0.82 % Problem : Axiom of Indiscernibles
% 0.66/0.82 % Version : [Sco79] axioms : Reduced > Complete.
% 0.66/0.82 % English : [all z (x=z <-> y=z)] -> x=y.
% 0.66/0.82
% 0.66/0.82 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.66/0.82 % Source : [ANL]
% 0.66/0.82 % Names : p15.ver3.no2.in [ANL]
% 0.66/0.82 % : p15.ver3.no4.in [ANL]
% 0.66/0.82
% 0.66/0.82 % Status : Unsatisfiable
% 0.66/0.82 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.25 v5.1.0, 0.12 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.66/0.82 % Syntax : Number of clauses : 20 ( 4 unt; 2 nHn; 15 RR)
% 0.66/0.82 % Number of literals : 44 ( 20 equ; 22 neg)
% 0.66/0.82 % Maximal clause size : 4 ( 2 avg)
% 0.66/0.82 % Maximal term depth : 3 ( 1 avg)
% 0.66/0.82 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.66/0.82 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 0.66/0.82 % Number of variables : 33 ( 4 sgn)
% 0.66/0.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.66/0.82
% 0.66/0.82 % Comments : The ANL set uses very few axioms for this. I'm not sure
% 0.66/0.82 % if using them all is OK.
% 0.66/0.82 % : Axioms simplified by Art Quaife.
% 0.66/0.82 %--------------------------------------------------------------------------
% 0.66/0.82 %----Include Scott's axioms for category theory
% 0.66/0.82 include('Axioms/CAT003-0.ax').
% 0.66/0.82 %--------------------------------------------------------------------------
% 0.66/0.82 %----Denial of the axiom of indiscernibles
% 0.66/0.82 cnf(equality_of_a_and_b1,hypothesis,
% 0.66/0.82 ( ~ there_exists(Z)
% 0.66/0.82 | a != Z
% 0.66/0.82 | b = Z ) ).
% 0.66/0.82
% 0.66/0.82 cnf(equality_of_a_and_b2,hypothesis,
% 0.66/0.82 ( ~ there_exists(Z)
% 0.66/0.82 | a = Z
% 0.66/0.82 | b != Z ) ).
% 0.66/0.82
% 0.66/0.82 cnf(prove_a_equals_b,negated_conjecture,
% 0.66/0.82 a != b ).
% 0.66/0.82
% 0.66/0.82 %--------------------------------------------------------------------------
% 0.66/0.82 %-------------------------------------------
% 0.66/0.82 % Proof found
% 0.66/0.82 % SZS status Theorem for theBenchmark
% 0.66/0.82 % SZS output start Proof
% 0.66/0.82 %ClaNum:31(EqnAxiom:12)
% 0.66/0.82 %VarNum:64(SingletonVarNum:29)
% 0.66/0.82 %MaxLitNum:3
% 0.66/0.82 %MaxfuncDepth:2
% 0.66/0.82 %SharedTerms:3
% 0.66/0.82 %goalClause: 16
% 0.66/0.82 %singleGoalClaCount:1
% 0.66/0.82 [16]~E(a4,a5)
% 0.66/0.82 [13]E(f2(x131,f1(x131)),x131)
% 0.66/0.82 [14]E(f2(f3(x141),x141),x141)
% 0.66/0.82 [15]E(f2(f2(x151,x152),x153),f2(x151,f2(x152,x153)))
% 0.66/0.82 [19]P1(x191)+~P1(f1(x191))
% 0.66/0.82 [20]P1(x201)+~P1(f3(x201))
% 0.66/0.82 [21]~P2(x211,x212)+E(x211,x212)
% 0.66/0.82 [23]P1(x231)+~P2(x232,x231)
% 0.66/0.82 [24]P1(x241)+~P2(x241,x242)
% 0.66/0.82 [26]E(x261,x262)+P1(f6(x261,x262))
% 0.66/0.82 [28]E(f3(x281),f1(x282))+~P1(f2(x282,x281))
% 0.66/0.82 [29]P1(f1(x291))+~P1(f2(x291,x292))
% 0.66/0.82 [30]P1(f3(x301))+~P1(f2(x301,x302))
% 0.66/0.82 [17]~P1(x171)+~E(a4,x171)+E(a5,x171)
% 0.66/0.82 [18]~P1(x181)+~E(a5,x181)+E(a4,x181)
% 0.66/0.82 [22]~E(x221,x222)+~P1(x221)+P2(x221,x222)
% 0.66/0.82 [27]E(x271,x272)+E(f6(x271,x272),x272)+E(f6(x271,x272),x271)
% 0.66/0.82 [31]~E(f3(x312),f1(x311))+~P1(f1(x311))+P1(f2(x311,x312))
% 0.66/0.82 %EqnAxiom
% 0.66/0.82 [1]E(x11,x11)
% 0.66/0.82 [2]E(x22,x21)+~E(x21,x22)
% 0.66/0.82 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.66/0.82 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.66/0.82 [5]~E(x51,x52)+E(f2(x51,x53),f2(x52,x53))
% 0.66/0.82 [6]~E(x61,x62)+E(f2(x63,x61),f2(x63,x62))
% 0.66/0.82 [7]~E(x71,x72)+E(f3(x71),f3(x72))
% 0.66/0.82 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.66/0.82 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.66/0.82 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.66/0.82 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.66/0.82 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.66/0.82
% 0.66/0.82 %-------------------------------------------
% 0.66/0.83 cnf(32,plain,
% 0.66/0.83 (E(x321,f2(x321,f1(x321)))),
% 0.66/0.83 inference(scs_inference,[],[13,2])).
% 0.66/0.83 cnf(33,plain,
% 0.66/0.83 (~P2(a4,a5)),
% 0.66/0.83 inference(scs_inference,[],[16,13,2,21])).
% 0.66/0.83 cnf(35,plain,
% 0.66/0.83 (~E(a4,f2(a5,f1(a5)))),
% 0.66/0.83 inference(scs_inference,[],[16,13,2,21,3])).
% 0.66/0.83 cnf(36,plain,
% 0.66/0.83 (E(f2(x361,f1(x361)),x361)),
% 0.66/0.83 inference(rename_variables,[],[13])).
% 0.66/0.83 cnf(39,plain,
% 0.66/0.83 (~P1(f3(f2(a5,f1(a5))))),
% 0.66/0.83 inference(scs_inference,[],[16,13,2,21,3,18,20])).
% 0.66/0.83 cnf(41,plain,
% 0.66/0.83 (~P1(f1(f2(a5,f1(a5))))),
% 0.66/0.83 inference(scs_inference,[],[16,13,2,21,3,18,20,19])).
% 0.66/0.83 cnf(43,plain,
% 0.66/0.83 (E(f6(x431,f2(x432,f1(x432))),f6(x431,x432))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9])).
% 0.66/0.83 cnf(44,plain,
% 0.66/0.83 (E(f6(f2(x441,f1(x441)),x442),f6(x441,x442))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8])).
% 0.66/0.83 cnf(45,plain,
% 0.66/0.83 (E(f3(f2(x451,f1(x451))),f3(x451))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8,7])).
% 0.66/0.83 cnf(46,plain,
% 0.66/0.83 (E(f2(x461,f2(x462,f1(x462))),f2(x461,x462))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8,7,6])).
% 0.66/0.83 cnf(47,plain,
% 0.66/0.83 (E(f2(f2(x471,f1(x471)),x472),f2(x471,x472))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8,7,6,5])).
% 0.66/0.83 cnf(48,plain,
% 0.66/0.83 (E(f1(f2(x481,f1(x481))),f1(x481))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8,7,6,5,4])).
% 0.66/0.83 cnf(49,plain,
% 0.66/0.83 (P1(f6(a4,a5))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,2,21,3,18,20,19,9,8,7,6,5,4,26])).
% 0.66/0.83 cnf(52,plain,
% 0.66/0.83 (~P2(f2(f3(a4),a4),a5)),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,14,2,21,3,18,20,19,9,8,7,6,5,4,26,12,11])).
% 0.66/0.83 cnf(53,plain,
% 0.66/0.83 (~E(f6(a4,a5),f2(a5,f1(a5)))),
% 0.66/0.83 inference(scs_inference,[],[16,13,36,14,2,21,3,18,20,19,9,8,7,6,5,4,26,12,11,10])).
% 0.66/0.83 cnf(60,plain,
% 0.66/0.83 (~P2(f1(f2(a5,f1(a5))),x601)),
% 0.66/0.83 inference(scs_inference,[],[41,24])).
% 0.66/0.83 cnf(62,plain,
% 0.66/0.83 (~P2(x621,f1(f2(a5,f1(a5))))),
% 0.66/0.83 inference(scs_inference,[],[41,24,23])).
% 0.66/0.83 cnf(64,plain,
% 0.66/0.83 (~P1(f2(f2(a5,f1(a5)),x641))),
% 0.66/0.83 inference(scs_inference,[],[41,39,24,23,30])).
% 0.66/0.83 cnf(66,plain,
% 0.66/0.83 (~E(a5,a4)),
% 0.66/0.83 inference(scs_inference,[],[16,41,39,24,23,30,2])).
% 0.66/0.83 cnf(70,plain,
% 0.66/0.83 (E(x701,f2(x701,f1(x701)))),
% 0.66/0.83 inference(rename_variables,[],[32])).
% 0.66/0.83 cnf(71,plain,
% 0.66/0.83 (P2(f6(a4,a5),f2(f6(a4,a5),f1(f6(a4,a5))))),
% 0.66/0.83 inference(scs_inference,[],[16,13,32,70,41,39,33,49,24,23,30,2,11,3,22])).
% 0.66/0.83 cnf(82,plain,
% 0.66/0.83 (P1(f2(f6(a4,a5),f1(f6(a4,a5))))),
% 0.66/0.83 inference(scs_inference,[],[71,23])).
% 0.66/0.83 cnf(84,plain,
% 0.66/0.83 (~E(f6(a4,a5),f1(f2(a5,f1(a5))))),
% 0.66/0.83 inference(scs_inference,[],[71,62,49,23,22])).
% 0.66/0.83 cnf(88,plain,
% 0.66/0.83 (E(f2(f2(x881,f1(x881)),f1(x881)),x881)),
% 0.66/0.83 inference(scs_inference,[],[13,15,47,71,62,49,23,22,2,3])).
% 0.66/0.83 cnf(93,plain,
% 0.66/0.83 (~P1(a4)),
% 0.66/0.83 inference(scs_inference,[],[13,15,47,71,64,62,66,49,23,22,2,3,10,30,17])).
% 0.66/0.83 cnf(95,plain,
% 0.66/0.83 (~P1(a5)),
% 0.66/0.83 inference(scs_inference,[],[13,15,47,71,64,62,66,49,16,23,22,2,3,10,30,17,18])).
% 0.66/0.83 cnf(97,plain,
% 0.66/0.83 (P1(f1(f6(a4,a5)))),
% 0.80/0.83 inference(scs_inference,[],[82,29])).
% 0.80/0.83 cnf(99,plain,
% 0.80/0.83 (~P2(x991,a4)),
% 0.80/0.83 inference(scs_inference,[],[82,93,29,23])).
% 0.80/0.83 cnf(101,plain,
% 0.80/0.83 (~P1(f2(a4,f1(a4)))),
% 0.80/0.83 inference(scs_inference,[],[13,82,93,29,23,22])).
% 0.80/0.83 cnf(104,plain,
% 0.80/0.83 (~E(f1(f2(a5,f1(a5))),f6(a4,a5))),
% 0.80/0.83 inference(scs_inference,[],[13,82,84,93,29,23,22,2])).
% 0.80/0.83 cnf(114,plain,
% 0.80/0.83 (~P2(x1141,a4)),
% 0.80/0.83 inference(rename_variables,[],[99])).
% 0.80/0.83 cnf(119,plain,
% 0.80/0.83 (E(x1191,f2(f3(x1191),x1191))),
% 0.80/0.83 inference(scs_inference,[],[14,88,99,114,71,12,22,2])).
% 0.80/0.83 cnf(120,plain,
% 0.80/0.83 (~E(f2(a4,f1(a4)),f2(a5,f1(a5)))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,99,114,35,71,12,22,2,3])).
% 0.80/0.83 cnf(122,plain,
% 0.80/0.83 (~E(f1(f6(a4,a5)),f2(a4,f1(a4)))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,97,101,99,114,35,71,12,22,2,3,10])).
% 0.80/0.83 cnf(123,plain,
% 0.80/0.83 (E(f6(x1231,f2(f3(x1232),x1232)),f6(x1231,x1232))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,97,101,99,114,35,71,12,22,2,3,10,9])).
% 0.80/0.83 cnf(136,plain,
% 0.80/0.83 (E(f2(x1361,f2(f3(x1362),x1362)),f2(x1361,x1362))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,97,53,101,99,114,35,71,12,22,2,3,10,9,26,31,19,20,21,8,7,6])).
% 0.80/0.83 cnf(138,plain,
% 0.80/0.83 (E(f1(f2(f3(x1381),x1381)),f1(x1381))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,97,53,101,99,114,35,71,12,22,2,3,10,9,26,31,19,20,21,8,7,6,5,4])).
% 0.80/0.83 cnf(139,plain,
% 0.80/0.83 (~P1(f2(f2(a4,f1(a4)),x1391))),
% 0.80/0.83 inference(scs_inference,[],[14,32,88,97,53,101,99,114,35,71,12,22,2,3,10,9,26,31,19,20,21,8,7,6,5,4,29])).
% 0.80/0.83 cnf(146,plain,
% 0.80/0.83 (E(f2(f3(x1461),x1461),x1461)),
% 0.80/0.83 inference(rename_variables,[],[14])).
% 0.80/0.83 cnf(148,plain,
% 0.80/0.83 (E(f2(f3(x1481),f2(x1481,f1(x1481))),x1481)),
% 0.80/0.83 inference(scs_inference,[],[14,146,46,120,52,12,2,3])).
% 0.80/0.83 cnf(150,plain,
% 0.80/0.83 (~P1(f2(f3(a5),a5))),
% 0.80/0.83 inference(scs_inference,[],[14,146,46,120,52,95,12,2,3,10])).
% 0.80/0.83 cnf(152,plain,
% 0.80/0.83 (~P2(f2(f2(a4,f1(a4)),x1521),x1522)),
% 0.80/0.83 inference(scs_inference,[],[14,146,46,139,120,52,95,12,2,3,10,24])).
% 0.80/0.83 cnf(156,plain,
% 0.80/0.83 (~P2(f2(f3(a4),f2(a4,f1(a4))),a5)),
% 0.80/0.83 inference(scs_inference,[],[33,148,11])).
% 0.80/0.83 cnf(167,plain,
% 0.80/0.83 (~E(f6(a4,a5),f2(f2(a4,f1(a4)),x1671))),
% 0.80/0.83 inference(scs_inference,[],[152,71,11])).
% 0.80/0.83 cnf(169,plain,
% 0.80/0.83 (~E(f2(a5,f1(a5)),a4)),
% 0.80/0.83 inference(scs_inference,[],[35,152,71,11,2])).
% 0.80/0.83 cnf(182,plain,
% 0.80/0.83 (~P2(f2(a4,f1(a4)),x1821)),
% 0.80/0.83 inference(scs_inference,[],[32,152,11])).
% 0.80/0.83 cnf(184,plain,
% 0.80/0.83 (E(x1841,f2(x1841,f1(x1841)))),
% 0.80/0.83 inference(rename_variables,[],[32])).
% 0.80/0.83 cnf(186,plain,
% 0.80/0.83 (E(f2(f3(x1861),x1861),f2(x1861,f1(x1861)))),
% 0.80/0.83 inference(scs_inference,[],[32,184,45,152,14,11,2,3])).
% 0.80/0.83 cnf(188,plain,
% 0.80/0.83 (~P1(f2(f3(a5),f2(f3(a5),a5)))),
% 0.80/0.83 inference(scs_inference,[],[32,184,45,136,150,152,14,11,2,3,10])).
% 0.80/0.83 cnf(190,plain,
% 0.80/0.83 (P1(f6(a4,f2(a5,f1(a5))))),
% 0.80/0.83 inference(scs_inference,[],[32,184,35,45,136,150,152,14,11,2,3,10,26])).
% 0.80/0.83 cnf(192,plain,
% 0.80/0.83 (~P1(f1(f2(f3(a5),a5)))),
% 0.80/0.83 inference(scs_inference,[],[32,184,35,45,136,150,152,14,11,2,3,10,26,19])).
% 0.80/0.83 cnf(198,plain,
% 0.80/0.83 (E(f6(x1981,x1982),f6(x1981,f2(x1982,f1(x1982))))),
% 0.80/0.83 inference(scs_inference,[],[32,184,35,45,136,167,150,152,14,11,2,3,10,26,19,20,21,9])).
% 0.80/0.83 cnf(203,plain,
% 0.80/0.83 (E(f1(x2031),f1(f2(x2031,f1(x2031))))),
% 0.80/0.83 inference(scs_inference,[],[32,184,35,45,136,167,150,119,152,14,11,2,3,10,26,19,20,21,9,6,5,8,7,4])).
% 0.80/0.83 cnf(218,plain,
% 0.80/0.83 (P2(f6(a4,a5),f6(a4,a5))),
% 0.80/0.83 inference(scs_inference,[],[186,182,190,43,71,13,22,11,12])).
% 0.80/0.83 cnf(234,plain,
% 0.80/0.83 (E(f1(x2341),f1(f2(f3(x2341),x2341)))),
% 0.80/0.83 inference(scs_inference,[],[48,138,104,3,2])).
% 0.80/0.83 cnf(235,plain,
% 0.80/0.83 (~E(f6(a4,a5),f3(f2(a5,f1(a5))))),
% 0.80/0.83 inference(scs_inference,[],[39,48,138,104,49,3,2,10])).
% 0.80/0.83 cnf(241,plain,
% 0.80/0.83 (~P1(f2(a5,x2411))),
% 0.80/0.83 inference(scs_inference,[],[39,234,192,122,2,10,23,29])).
% 0.80/0.83 cnf(246,plain,
% 0.80/0.83 (P1(f6(f2(a5,f1(a5)),a4))),
% 0.80/0.83 inference(scs_inference,[],[123,169,188,15,2,10,26])).
% 0.80/0.83 cnf(268,plain,
% 0.80/0.83 (E(f1(x2681),f1(f2(x2681,f1(x2681))))),
% 0.80/0.83 inference(rename_variables,[],[203])).
% 0.80/0.83 cnf(271,plain,
% 0.80/0.83 (~E(f6(f2(a5,f1(a5)),a4),f2(a5,x2711))),
% 0.80/0.83 inference(scs_inference,[],[39,203,268,60,235,241,246,156,62,2,24,22,12,11,10])).
% 0.80/0.83 cnf(273,plain,
% 0.80/0.83 (E(f6(f2(x2731,f1(x2731)),x2732),f6(x2731,x2732))),
% 0.80/0.83 inference(rename_variables,[],[44])).
% 0.80/0.83 cnf(278,plain,
% 0.80/0.83 (E(f6(f2(x2781,f1(x2781)),x2782),f6(x2781,x2782))),
% 0.80/0.83 inference(rename_variables,[],[44])).
% 0.80/0.83 cnf(282,plain,
% 0.80/0.83 (E(f6(f2(a5,f1(a5)),a4),a4)),
% 0.80/0.83 inference(scs_inference,[],[44,273,278,198,271,218,186,169,246,22,12,11,2,10,27])).
% 0.80/0.83 cnf(307,plain,
% 0.80/0.83 ($false),
% 0.80/0.83 inference(scs_inference,[],[282,99,246,22]),
% 0.80/0.83 ['proof']).
% 0.80/0.83 % SZS output end Proof
% 0.80/0.83 % Total time :0.200000s
%------------------------------------------------------------------------------