TSTP Solution File: GEO204+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 22:43:39 EDT 2023
% Result : Theorem 0.50s 0.84s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 23:39:53 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.54 start to proof:theBenchmark
% 0.50/0.83 %-------------------------------------------
% 0.50/0.83 % File :CSE---1.6
% 0.50/0.83 % Problem :theBenchmark
% 0.50/0.83 % Transform :cnf
% 0.50/0.83 % Format :tptp:raw
% 0.50/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.50/0.83
% 0.50/0.83 % Result :Theorem 0.230000s
% 0.50/0.83 % Output :CNFRefutation 0.230000s
% 0.50/0.83 %-------------------------------------------
% 0.50/0.83 %------------------------------------------------------------------------------
% 0.50/0.83 % File : GEO204+3 : TPTP v8.1.2. Released v4.0.0.
% 0.50/0.83 % Domain : Geometry (Constructive)
% 0.50/0.83 % Problem : Distinct points and equal lines
% 0.50/0.83 % Version : [vPl95] axioms.
% 0.50/0.83 % English : If the points X and Y are distinct, and the points Y and Z are
% 0.50/0.83 % equal, then X and Z are distinct, and the line connecting X
% 0.50/0.83 % and Y is equivalent to the line connecting X and Z.
% 0.50/0.83
% 0.50/0.83 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.50/0.83 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.50/0.83 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.50/0.83 % Source : [Rat07]
% 0.50/0.83 % Names : Theorem 5.5 [vPl95]
% 0.50/0.83
% 0.50/0.83 % Status : Theorem
% 0.50/0.83 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0
% 0.50/0.83 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.50/0.83 % Number of atoms : 97 ( 0 equ)
% 0.50/0.83 % Maximal formula atoms : 6 ( 2 avg)
% 0.50/0.83 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.50/0.83 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.50/0.83 % Maximal formula depth : 9 ( 5 avg)
% 0.50/0.83 % Maximal term depth : 2 ( 1 avg)
% 0.50/0.83 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.50/0.83 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.50/0.83 % Number of variables : 84 ( 84 !; 0 ?)
% 0.50/0.83 % SPC : FOF_THM_RFO_NEQ
% 0.50/0.83
% 0.50/0.83 % Comments :
% 0.50/0.83 %------------------------------------------------------------------------------
% 0.50/0.83 include('Axioms/GEO006+0.ax').
% 0.50/0.84 include('Axioms/GEO006+1.ax').
% 0.50/0.84 include('Axioms/GEO006+2.ax').
% 0.50/0.84 include('Axioms/GEO006+3.ax').
% 0.50/0.84 include('Axioms/GEO006+4.ax').
% 0.50/0.84 include('Axioms/GEO006+5.ax').
% 0.50/0.84 include('Axioms/GEO006+6.ax').
% 0.50/0.84 %------------------------------------------------------------------------------
% 0.50/0.84 fof(con,conjecture,
% 0.50/0.84 ! [X,Y,Z] :
% 0.50/0.84 ( ( distinct_points(X,Y)
% 0.50/0.84 & equal_points(Y,Z) )
% 0.50/0.84 => ( distinct_points(X,Z)
% 0.50/0.84 & equal_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ) ).
% 0.50/0.84
% 0.50/0.84 %------------------------------------------------------------------------------
% 0.50/0.84 %-------------------------------------------
% 0.50/0.84 % Proof found
% 0.50/0.84 % SZS status Theorem for theBenchmark
% 0.50/0.84 % SZS output start Proof
% 0.50/0.84 %ClaNum:49(EqnAxiom:0)
% 0.50/0.84 %VarNum:218(SingletonVarNum:98)
% 0.50/0.84 %MaxLitNum:6
% 0.50/0.84 %MaxfuncDepth:1
% 0.50/0.84 %SharedTerms:9
% 0.50/0.84 %goalClause: 1 2 48
% 0.50/0.84 %singleGoalClaCount:2
% 0.50/0.84 [1]P1(a1,a2)
% 0.50/0.84 [2]P5(a2,a3)
% 0.50/0.84 [3]~P1(x31,x31)
% 0.50/0.84 [4]~P2(x41,x41)
% 0.50/0.84 [5]~P3(x51,x51)
% 0.50/0.84 [6]~P4(x61,f4(x62,x61))
% 0.50/0.84 [7]~P4(x71,f5(x72,x71))
% 0.50/0.84 [8]~P3(f4(x81,x82),x81)
% 0.50/0.84 [9]~P7(f5(x91,x92),x91)
% 0.50/0.84 [48]~P1(a1,a3)+~P6(f7(a1,a2),f7(a1,a3))
% 0.50/0.84 [10]P5(x101,x102)+P1(x101,x102)
% 0.50/0.84 [11]P6(x111,x112)+P2(x111,x112)
% 0.50/0.84 [13]P7(x131,x132)+P3(x131,x132)
% 0.50/0.84 [14]P8(x141,x142)+P3(x141,x142)
% 0.50/0.84 [15]P9(x151,x152)+P4(x151,x152)
% 0.50/0.84 [16]P10(x161,x162)+P7(x161,x162)
% 0.50/0.84 [17]~P2(x171,x172)+P3(x171,x172)
% 0.50/0.84 [20]~P5(x201,x202)+~P1(x201,x202)
% 0.50/0.84 [21]~P6(x211,x212)+~P2(x211,x212)
% 0.50/0.84 [22]~P8(x221,x222)+~P3(x221,x222)
% 0.50/0.84 [23]~P9(x231,x232)+~P4(x231,x232)
% 0.50/0.84 [24]~P10(x241,x242)+~P7(x241,x242)
% 0.50/0.84 [44]~P1(x441,x442)+~P4(x442,f7(x441,x442))
% 0.50/0.84 [45]~P1(x451,x452)+~P4(x451,f7(x451,x452))
% 0.50/0.84 [46]~P3(x461,x462)+~P4(f6(x461,x462),x462)
% 0.50/0.84 [47]~P3(x471,x472)+~P4(f6(x471,x472),x471)
% 0.50/0.84 [18]~P12(x182)+~P11(x181)+P11(f4(x181,x182))
% 0.50/0.84 [19]~P12(x192)+~P11(x191)+P11(f5(x191,x192))
% 0.50/0.84 [25]~P1(x253,x251)+P1(x251,x252)+P1(x253,x252)
% 0.50/0.84 [26]~P4(x261,x263)+P1(x261,x262)+P4(x262,x263)
% 0.50/0.84 [27]~P2(x273,x271)+P2(x271,x272)+P2(x273,x272)
% 0.50/0.84 [28]~P3(x283,x281)+P2(x281,x282)+P3(x283,x282)
% 0.50/0.84 [29]~P4(x293,x291)+P2(x291,x292)+P4(x293,x292)
% 0.50/0.84 [30]~P3(x303,x301)+P3(x301,x302)+P3(x303,x302)
% 0.50/0.84 [31]~P3(x313,x312)+P7(x311,x312)+P7(x311,x313)
% 0.50/0.84 [33]~P11(x332)+~P11(x331)+~P3(x331,x332)+P12(f6(x331,x332))
% 0.50/0.84 [34]~P12(x342)+~P12(x341)+~P1(x341,x342)+P11(f7(x341,x342))
% 0.50/0.84 [36]~P3(x361,x363)+~P7(x361,x363)+P3(x361,x362)+P7(x363,x362)
% 0.50/0.84 [37]~P3(x372,x373)+~P7(x372,x373)+P3(x371,x372)+P3(x371,x373)
% 0.50/0.84 [38]~P3(x382,x383)+~P7(x382,x383)+P3(x381,x382)+P7(x381,x383)
% 0.50/0.84 [39]~P3(x393,x391)+~P7(x393,x391)+P3(x391,x392)+P7(x393,x392)
% 0.50/0.84 [40]~P3(x403,x402)+~P7(x403,x402)+P3(x401,x402)+P7(x401,x403)
% 0.50/0.84 [41]~P3(x411,x413)+~P7(x411,x413)+P7(x411,x412)+P7(x413,x412)
% 0.50/0.84 [43]P7(x433,x434)+~P2(x433,x432)+P4(x431,x432)+P4(x431,x433)+P7(x432,x434)
% 0.50/0.84 [49]P4(x494,x493)+~P1(x494,x491)+~P2(x493,x492)+P4(x491,x492)+P4(x491,x493)+P4(x494,x492)
% 0.50/0.84 %EqnAxiom
% 0.50/0.84
% 0.50/0.84 %-------------------------------------------
% 0.51/0.84 cnf(51,plain,
% 0.51/0.84 (~P2(f4(x511,x512),x511)),
% 0.51/0.84 inference(scs_inference,[],[1,8,20,17])).
% 0.51/0.84 cnf(58,plain,
% 0.51/0.84 (P7(x581,x581)),
% 0.51/0.84 inference(scs_inference,[],[1,5,6,8,9,20,17,16,15,14,13])).
% 0.51/0.84 cnf(64,plain,
% 0.51/0.84 (P1(a2,a1)),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,6,8,9,20,17,16,15,14,13,11,10,25])).
% 0.51/0.84 cnf(66,plain,
% 0.51/0.84 (~P4(a1,f7(a1,a2))),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,6,8,9,20,17,16,15,14,13,11,10,25,45])).
% 0.51/0.84 cnf(70,plain,
% 0.51/0.84 (~P7(x701,f5(x701,x702))+~P3(x701,f5(x701,x702))),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,6,8,9,20,17,16,15,14,13,11,10,25,45,44,40])).
% 0.51/0.84 cnf(71,plain,
% 0.51/0.84 (~P3(x711,x711)),
% 0.51/0.84 inference(rename_variables,[],[5])).
% 0.51/0.84 cnf(75,plain,
% 0.51/0.84 (~P3(x751,f4(x751,x752))),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,71,6,8,9,20,17,16,15,14,13,11,10,25,45,44,40,24,30])).
% 0.51/0.84 cnf(77,plain,
% 0.51/0.84 (~P4(x771,f4(f4(x772,x771),x773))),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,71,6,8,9,20,17,16,15,14,13,11,10,25,45,44,40,24,30,29])).
% 0.51/0.84 cnf(81,plain,
% 0.51/0.84 (P4(a2,f5(x811,a1))+P4(a2,f4(x812,a1))+~P2(f4(x812,a1),f5(x811,a1))),
% 0.51/0.84 inference(scs_inference,[],[1,3,4,5,71,6,7,8,9,20,17,16,15,14,13,11,10,25,45,44,40,24,30,29,43,49])).
% 0.51/0.84 cnf(83,plain,
% 0.51/0.84 (P3(f5(x831,x832),x831)),
% 0.51/0.84 inference(scs_inference,[],[9,13])).
% 0.51/0.84 cnf(85,plain,
% 0.51/0.84 (P3(x851,f5(x851,x852))),
% 0.51/0.84 inference(scs_inference,[],[5,9,13,30])).
% 0.51/0.84 cnf(88,plain,
% 0.51/0.84 (~P1(a2,a3)),
% 0.51/0.84 inference(scs_inference,[],[2,5,9,13,30,20])).
% 0.51/0.84 cnf(90,plain,
% 0.51/0.84 (~P7(x901,f5(x901,x902))),
% 0.51/0.84 inference(scs_inference,[],[2,5,9,13,30,20,70])).
% 0.51/0.84 cnf(97,plain,
% 0.51/0.84 (P1(a1,a3)),
% 0.51/0.84 inference(scs_inference,[],[1,2,5,9,77,13,30,20,70,81,22,25])).
% 0.51/0.84 cnf(107,plain,
% 0.51/0.84 (~P3(f4(x1071,x1072),f4(x1071,x1073))),
% 0.51/0.84 inference(scs_inference,[],[1,2,8,5,9,51,77,13,30,20,70,81,22,25,47,46,34,33,28])).
% 0.51/0.84 cnf(109,plain,
% 0.51/0.84 (~P2(x1091,f4(x1091,x1092))),
% 0.51/0.84 inference(scs_inference,[],[1,2,4,8,5,9,51,77,13,30,20,70,81,22,25,47,46,34,33,28,27])).
% 0.51/0.84 cnf(113,plain,
% 0.51/0.84 (~P6(f7(a1,a2),f7(a1,a3))),
% 0.51/0.84 inference(scs_inference,[],[97,48])).
% 0.51/0.84 cnf(114,plain,
% 0.51/0.84 (P7(f5(f5(x1141,x1142),x1143),x1141)),
% 0.51/0.84 inference(scs_inference,[],[9,83,31])).
% 0.51/0.84 cnf(117,plain,
% 0.51/0.84 (P3(f5(f4(x1171,x1172),x1173),x1171)),
% 0.51/0.84 inference(scs_inference,[],[8,9,83,31,30])).
% 0.51/0.84 cnf(120,plain,
% 0.51/0.84 (P2(f5(f4(x1201,x1202),x1203),x1201)),
% 0.51/0.84 inference(scs_inference,[],[8,9,83,85,31,30,28])).
% 0.51/0.84 cnf(123,plain,
% 0.51/0.84 (P1(a3,a1)),
% 0.51/0.84 inference(scs_inference,[],[3,8,9,83,85,97,31,30,28,25])).
% 0.51/0.84 cnf(138,plain,
% 0.51/0.84 (~P7(f5(f4(x1381,x1382),x1383),x1381)),
% 0.51/0.84 inference(scs_inference,[],[9,117,75,39])).
% 0.51/0.84 cnf(139,plain,
% 0.51/0.84 (~P7(f5(x1391,x1392),x1391)),
% 0.51/0.84 inference(rename_variables,[],[9])).
% 0.51/0.84 cnf(140,plain,
% 0.51/0.84 (P3(f5(f4(x1401,x1402),x1403),x1401)),
% 0.51/0.84 inference(rename_variables,[],[117])).
% 0.51/0.84 cnf(142,plain,
% 0.51/0.84 (P2(f7(a1,a2),f7(a1,a3))),
% 0.51/0.84 inference(scs_inference,[],[9,117,113,75,39,11])).
% 0.51/0.84 cnf(144,plain,
% 0.51/0.84 (P7(f5(x1441,x1442),f5(f4(x1441,x1443),x1444))),
% 0.51/0.84 inference(scs_inference,[],[9,139,117,140,113,75,39,11,31])).
% 0.51/0.84 cnf(145,plain,
% 0.51/0.84 (P3(f5(f4(x1451,x1452),x1453),x1451)),
% 0.51/0.84 inference(rename_variables,[],[117])).
% 0.51/0.84 cnf(149,plain,
% 0.51/0.84 (P3(f7(a1,a2),f7(a1,a3))),
% 0.51/0.84 inference(scs_inference,[],[9,139,117,140,120,113,75,39,11,31,21,17])).
% 0.51/0.84 cnf(154,plain,
% 0.51/0.84 (~P7(x1541,f5(f4(x1541,x1542),x1543))),
% 0.51/0.84 inference(scs_inference,[],[5,9,139,8,90,117,140,145,120,113,75,39,11,31,21,17,30,38])).
% 0.51/0.84 cnf(170,plain,
% 0.51/0.84 (~P3(f5(x1701,x1702),f5(f4(x1701,x1703),x1704))),
% 0.51/0.84 inference(scs_inference,[],[9,138,144,41])).
% 0.51/0.84 cnf(171,plain,
% 0.51/0.84 (~P7(f5(f4(x1711,x1712),x1713),x1711)),
% 0.51/0.84 inference(rename_variables,[],[138])).
% 0.51/0.84 cnf(172,plain,
% 0.51/0.84 (P7(f5(x1721,x1722),f5(f4(x1721,x1723),x1724))),
% 0.51/0.84 inference(rename_variables,[],[144])).
% 0.51/0.84 cnf(176,plain,
% 0.51/0.84 (~P2(f4(x1761,x1762),f4(x1761,x1763))),
% 0.51/0.84 inference(scs_inference,[],[51,9,138,144,107,41,11,17])).
% 0.51/0.84 cnf(178,plain,
% 0.51/0.84 (~P3(x1781,f5(f5(x1781,x1782),x1783))),
% 0.51/0.85 inference(scs_inference,[],[51,9,138,144,107,90,41,11,17,31])).
% 0.51/0.85 cnf(190,plain,
% 0.51/0.85 (P3(f5(f5(x1901,x1902),x1903),x1901)+~P10(f5(x1904,x1905),f5(f4(x1904,x1906),x1907))),
% 0.51/0.85 inference(scs_inference,[],[51,7,5,9,138,144,172,123,107,90,114,41,11,17,31,13,37,15,45,24])).
% 0.51/0.85 cnf(192,plain,
% 0.51/0.85 (P3(f5(f5(x1921,x1922),x1923),x1921)+~P4(x1924,f4(f5(x1925,x1924),x1926))),
% 0.51/0.85 inference(scs_inference,[],[51,7,5,9,138,144,172,123,107,90,114,41,11,17,31,13,37,15,45,24,29])).
% 0.51/0.85 cnf(199,plain,
% 0.51/0.85 (P3(f5(f5(x1991,x1992),x1993),x1991)+P10(f5(f4(x1994,x1995),x1996),x1994)),
% 0.51/0.85 inference(scs_inference,[],[51,7,5,9,8,138,171,144,172,123,107,90,114,41,11,17,31,13,37,15,45,24,29,44,14,16])).
% 0.51/0.85 cnf(204,plain,
% 0.51/0.85 (P3(f5(f5(x2041,x2042),x2043),x2041)+P4(a1,f7(a1,a3))+P4(a3,f7(a1,a3))+P4(a3,f7(a1,a2))),
% 0.51/0.85 inference(scs_inference,[],[51,7,5,9,8,138,171,144,172,142,149,123,66,107,90,114,41,11,17,31,13,37,15,45,24,29,44,14,16,38,49])).
% 0.51/0.85 cnf(210,plain,
% 0.51/0.85 (~P3(f5(f5(x2101,x2102),x2103),x2101)),
% 0.51/0.85 inference(scs_inference,[],[9,90,114,41])).
% 0.51/0.85 cnf(249,plain,
% 0.51/0.85 (P2(f7(a1,a2),f4(f7(a1,a3),x2491))),
% 0.51/0.85 inference(scs_inference,[],[6,88,109,142,26,27])).
% 0.51/0.85 cnf(254,plain,
% 0.51/0.85 (P7(x2541,f5(f5(x2541,x2542),x2543))),
% 0.51/0.85 inference(scs_inference,[],[6,178,88,109,142,26,27,17,13])).
% 0.51/0.85 cnf(258,plain,
% 0.51/0.85 (P3(f5(f4(x2581,x2582),x2583),f4(x2581,x2584))),
% 0.51/0.85 inference(scs_inference,[],[6,176,178,88,109,117,142,75,26,27,17,13,11,30])).
% 0.51/0.85 cnf(274,plain,
% 0.51/0.85 (P2(f4(f7(a1,a3),x2741),f7(a1,a2))),
% 0.51/0.85 inference(scs_inference,[],[4,249,27])).
% 0.51/0.85 cnf(277,plain,
% 0.51/0.85 (P3(f4(x2771,x2772),f5(f4(x2771,x2773),x2774))),
% 0.51/0.85 inference(scs_inference,[],[4,5,258,249,27,30])).
% 0.51/0.85 cnf(280,plain,
% 0.51/0.85 (P3(f7(a1,a2),f4(f7(a1,a3),x2801))),
% 0.51/0.85 inference(scs_inference,[],[4,5,258,249,27,30,17])).
% 0.51/0.85 cnf(287,plain,
% 0.51/0.85 (~P2(x2871,f4(f4(x2871,x2872),x2873))),
% 0.51/0.85 inference(scs_inference,[],[51,109,27])).
% 0.51/0.85 cnf(316,plain,
% 0.51/0.85 (P4(a1,f7(a1,a3))+P4(a3,f7(a1,a2))),
% 0.51/0.85 inference(scs_inference,[],[5,51,6,7,8,277,280,254,170,154,210,109,64,27,17,24,15,45,16,44,14,204,23,29])).
% 0.51/0.85 cnf(323,plain,
% 0.51/0.85 (~P4(x3231,f4(f5(x3232,x3231),x3233))),
% 0.51/0.85 inference(scs_inference,[],[274,210,17,199,190,192])).
% 0.51/0.85 cnf(339,plain,
% 0.51/0.85 (~P2(f4(f4(x3391,x3392),x3393),x3391)),
% 0.51/0.85 inference(scs_inference,[],[51,8,274,280,277,138,210,149,75,109,17,199,190,192,46,36,47,22,13,81,27])).
% 0.51/0.85 cnf(341,plain,
% 0.51/0.85 (~P7(f5(f4(x3411,x3412),x3413),f4(x3411,x3414))),
% 0.51/0.85 inference(scs_inference,[],[8,258,138,39])).
% 0.51/0.85 cnf(343,plain,
% 0.51/0.85 (~P3(f4(x3431,x3432),x3431)),
% 0.51/0.85 inference(rename_variables,[],[8])).
% 0.51/0.85 cnf(351,plain,
% 0.51/0.85 (~P3(f4(x3511,x3512),x3511)),
% 0.51/0.85 inference(rename_variables,[],[8])).
% 0.51/0.85 cnf(353,plain,
% 0.51/0.85 (~P3(f4(f4(x3531,x3532),x3533),x3531)),
% 0.51/0.85 inference(scs_inference,[],[51,8,343,351,339,258,138,75,149,210,39,27,17,37,30])).
% 0.51/0.85 cnf(390,plain,
% 0.51/0.85 (P4(a3,f7(a1,a2))),
% 0.51/0.85 inference(scs_inference,[],[58,323,341,353,97,15,24,16,45,44,14,316])).
% 0.51/0.85 cnf(410,plain,
% 0.51/0.85 ($false),
% 0.51/0.85 inference(scs_inference,[],[287,390,77,23,29]),
% 0.51/0.85 ['proof']).
% 0.51/0.85 % SZS output end Proof
% 0.51/0.85 % Total time :0.230000s
%------------------------------------------------------------------------------