TSTP Solution File: GEO176+3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO176+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 : n007.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 22:43:20 EDT 2023

% Result   : Theorem 0.58s 0.88s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n007.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   : Tue Aug 29 20:07:59 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 0.58/0.87  %-------------------------------------------
% 0.58/0.87  % File        :CSE---1.6
% 0.58/0.87  % Problem     :theBenchmark
% 0.58/0.87  % Transform   :cnf
% 0.58/0.87  % Format      :tptp:raw
% 0.58/0.87  % Command     :java -jar mcs_scs.jar %d %s
% 0.58/0.87  
% 0.58/0.87  % Result      :Theorem 0.240000s
% 0.58/0.87  % Output      :CNFRefutation 0.240000s
% 0.58/0.87  %-------------------------------------------
% 0.58/0.88  %------------------------------------------------------------------------------
% 0.58/0.88  % File     : GEO176+3 : TPTP v8.1.2. Released v4.0.0.
% 0.58/0.88  % Domain   : Geometry (Constructive)
% 0.58/0.88  % Problem  : Lemma on symmetry and apartness
% 0.58/0.88  % Version  : [vPl95] axioms.
% 0.58/0.88  % English  : If two lines are convergent and a point is apart from at least
% 0.58/0.88  %            one of these lines, then this point is distinct from the
% 0.58/0.88  %            intersection point of these lines.
% 0.58/0.88  
% 0.58/0.88  % Refs     : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.58/0.88  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.58/0.88  %          : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.58/0.88  % Source   : [Rat07]
% 0.58/0.88  % Names    : Lemma 4.1.ii [vPl95]
% 0.58/0.88  
% 0.58/0.88  % Status   : Theorem
% 0.58/0.88  % Rating   : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0
% 0.58/0.88  % Syntax   : Number of formulae    :   36 (   7 unt;   0 def)
% 0.58/0.88  %            Number of atoms       :   98 (   0 equ)
% 0.58/0.88  %            Maximal formula atoms :    6 (   2 avg)
% 0.58/0.88  %            Number of connectives :   90 (  28   ~;  20   |;  15   &)
% 0.58/0.88  %                                         (   5 <=>;  22  =>;   0  <=;   0 <~>)
% 0.58/0.88  %            Maximal formula depth :    9 (   6 avg)
% 0.58/0.88  %            Maximal term depth    :    2 (   1 avg)
% 0.58/0.88  %            Number of predicates  :   12 (  12 usr;   0 prp; 1-2 aty)
% 0.58/0.88  %            Number of functors    :    4 (   4 usr;   0 con; 2-2 aty)
% 0.58/0.88  %            Number of variables   :   85 (  85   !;   0   ?)
% 0.58/0.88  % SPC      : FOF_THM_RFO_NEQ
% 0.58/0.88  
% 0.58/0.88  % Comments :
% 0.58/0.88  %------------------------------------------------------------------------------
% 0.58/0.88  include('Axioms/GEO006+0.ax').
% 0.58/0.88  include('Axioms/GEO006+1.ax').
% 0.58/0.88  include('Axioms/GEO006+2.ax').
% 0.58/0.88  include('Axioms/GEO006+3.ax').
% 0.58/0.88  include('Axioms/GEO006+4.ax').
% 0.58/0.88  include('Axioms/GEO006+5.ax').
% 0.58/0.88  include('Axioms/GEO006+6.ax').
% 0.58/0.88  %------------------------------------------------------------------------------
% 0.58/0.88  fof(con,conjecture,
% 0.58/0.88      ! [X,Y,U,V] :
% 0.58/0.88        ( ( distinct_points(X,Y)
% 0.58/0.88          & convergent_lines(U,V)
% 0.58/0.88          & ( apart_point_and_line(X,U)
% 0.58/0.88            | apart_point_and_line(X,V) ) )
% 0.58/0.88       => distinct_points(X,intersection_point(U,V)) ) ).
% 0.58/0.88  
% 0.58/0.88  %------------------------------------------------------------------------------
% 0.58/0.88  %-------------------------------------------
% 0.58/0.88  % Proof found
% 0.58/0.88  % SZS status Theorem for theBenchmark
% 0.58/0.88  % SZS output start Proof
% 0.58/0.88  %ClaNum:50(EqnAxiom:0)
% 0.58/0.88  %VarNum:218(SingletonVarNum:98)
% 0.58/0.88  %MaxLitNum:6
% 0.58/0.88  %MaxfuncDepth:1
% 0.58/0.88  %SharedTerms:10
% 0.58/0.88  %goalClause: 1 2 6 11
% 0.58/0.88  %singleGoalClaCount:3
% 0.58/0.88  [1]P1(a1,a2)
% 0.58/0.88  [2]P2(a3,a4)
% 0.58/0.88  [6]~P1(a1,f5(a3,a4))
% 0.58/0.88  [3]~P1(x31,x31)
% 0.58/0.88  [4]~P4(x41,x41)
% 0.58/0.88  [5]~P2(x51,x51)
% 0.58/0.88  [7]~P3(x71,f6(x72,x71))
% 0.58/0.88  [8]~P3(x81,f7(x82,x81))
% 0.58/0.88  [9]~P2(f6(x91,x92),x91)
% 0.58/0.88  [10]~P5(f7(x101,x102),x101)
% 0.58/0.88  [11]P3(a1,a3)+P3(a1,a4)
% 0.58/0.88  [12]P6(x121,x122)+P1(x121,x122)
% 0.58/0.88  [13]P7(x131,x132)+P4(x131,x132)
% 0.58/0.88  [15]P5(x151,x152)+P2(x151,x152)
% 0.58/0.88  [16]P8(x161,x162)+P2(x161,x162)
% 0.58/0.88  [17]P9(x171,x172)+P3(x171,x172)
% 0.58/0.88  [18]P10(x181,x182)+P5(x181,x182)
% 0.58/0.88  [19]~P4(x191,x192)+P2(x191,x192)
% 0.58/0.88  [22]~P6(x221,x222)+~P1(x221,x222)
% 0.58/0.88  [23]~P7(x231,x232)+~P4(x231,x232)
% 0.58/0.88  [24]~P8(x241,x242)+~P2(x241,x242)
% 0.58/0.88  [25]~P9(x251,x252)+~P3(x251,x252)
% 0.58/0.88  [26]~P10(x261,x262)+~P5(x261,x262)
% 0.58/0.88  [46]~P1(x461,x462)+~P3(x462,f8(x461,x462))
% 0.58/0.88  [47]~P1(x471,x472)+~P3(x471,f8(x471,x472))
% 0.58/0.88  [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 0.58/0.88  [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 0.58/0.88  [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 0.58/0.88  [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.58/0.88  [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.58/0.88  [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 0.58/0.88  [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 0.58/0.88  [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 0.58/0.88  [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 0.58/0.88  [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 0.58/0.88  [33]~P2(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 0.58/0.88  [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 0.58/0.88  [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f8(x361,x362))
% 0.58/0.88  [38]~P2(x381,x383)+~P5(x381,x383)+P2(x381,x382)+P5(x383,x382)
% 0.58/0.88  [39]~P2(x392,x393)+~P5(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 0.58/0.88  [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P5(x401,x403)
% 0.58/0.88  [41]~P2(x413,x411)+~P5(x413,x411)+P2(x411,x412)+P5(x413,x412)
% 0.58/0.88  [42]~P2(x423,x422)+~P5(x423,x422)+P2(x421,x422)+P5(x421,x423)
% 0.58/0.88  [43]~P2(x431,x433)+~P5(x431,x433)+P5(x431,x432)+P5(x433,x432)
% 0.58/0.88  [45]P5(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P5(x452,x454)
% 0.58/0.88  [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 0.58/0.88  %EqnAxiom
% 0.58/0.88  
% 0.58/0.88  %-------------------------------------------
% 0.58/0.88  cnf(53,plain,
% 0.58/0.88     (~P4(f6(x531,x532),x531)),
% 0.58/0.88     inference(scs_inference,[],[1,2,9,24,22,19])).
% 0.58/0.88  cnf(68,plain,
% 0.58/0.88     (~P5(f7(x681,x682),x681)),
% 0.58/0.88     inference(rename_variables,[],[10])).
% 0.58/0.88  cnf(70,plain,
% 0.58/0.88     (P2(a4,a3)),
% 0.58/0.88     inference(scs_inference,[],[1,3,4,5,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32])).
% 0.58/0.88  cnf(71,plain,
% 0.58/0.88     (~P2(x711,x711)),
% 0.58/0.88     inference(rename_variables,[],[5])).
% 0.58/0.88  cnf(73,plain,
% 0.58/0.89     (P4(a4,a3)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30])).
% 0.58/0.89  cnf(74,plain,
% 0.58/0.89     (~P2(x741,x741)),
% 0.58/0.89     inference(rename_variables,[],[5])).
% 0.58/0.89  cnf(76,plain,
% 0.58/0.89     (P4(a3,a4)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29])).
% 0.58/0.89  cnf(78,plain,
% 0.58/0.89     (P1(a2,a1)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27])).
% 0.58/0.89  cnf(80,plain,
% 0.58/0.89     (~P3(f5(a3,a4),a3)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49])).
% 0.58/0.89  cnf(82,plain,
% 0.58/0.89     (~P3(f5(a3,a4),a4)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,7,9,10,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48])).
% 0.58/0.89  cnf(98,plain,
% 0.58/0.89     (~P5(a3,a4)+P5(a4,x981)+P5(a3,x981)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,2,6,7,9,10,68,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48,47,46,42,26,23,31,28,43])).
% 0.58/0.89  cnf(104,plain,
% 0.58/0.89     (P2(x1041,a4)+~P5(a3,a4)+~P5(a4,a3)+P2(x1041,f7(a3,x1042))),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,74,2,6,7,9,10,68,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48,47,46,42,26,23,31,28,43,41,40,39])).
% 0.58/0.89  cnf(106,plain,
% 0.58/0.89     (~P5(a3,a4)+P5(a3,x1061)+~P5(a4,a3)+P2(a4,x1061)),
% 0.58/0.89     inference(scs_inference,[],[1,3,4,5,71,74,2,6,7,9,10,68,24,22,19,18,17,16,15,13,12,33,32,30,29,27,49,48,47,46,42,26,23,31,28,43,41,40,39,38])).
% 0.58/0.89  cnf(108,plain,
% 0.58/0.89     (P1(a2,f5(a3,a4))),
% 0.58/0.89     inference(scs_inference,[],[6,78,27])).
% 0.58/0.89  cnf(110,plain,
% 0.58/0.89     (P2(f7(x1101,x1102),x1101)),
% 0.58/0.89     inference(scs_inference,[],[6,10,78,27,15])).
% 0.58/0.89  cnf(112,plain,
% 0.58/0.89     (P5(f7(a4,x1121),a3)),
% 0.58/0.89     inference(scs_inference,[],[6,10,2,78,27,15,33])).
% 0.58/0.89  cnf(115,plain,
% 0.58/0.89     (~P3(a1,f7(x1151,f5(a3,a4)))),
% 0.58/0.89     inference(scs_inference,[],[8,6,10,2,78,27,15,33,28])).
% 0.58/0.89  cnf(116,plain,
% 0.58/0.89     (~P3(x1161,f7(x1162,x1161))),
% 0.58/0.89     inference(rename_variables,[],[8])).
% 0.58/0.89  cnf(126,plain,
% 0.58/0.89     (P3(a2,a4)+P4(a3,f7(x1261,a2))),
% 0.58/0.89     inference(scs_inference,[],[8,116,6,9,10,4,2,53,82,80,73,78,27,15,33,28,50,25,30,29,31])).
% 0.58/0.89  cnf(150,plain,
% 0.58/0.89     (P2(f7(f6(x1501,x1502),x1503),x1501)),
% 0.58/0.89     inference(scs_inference,[],[9,110,32])).
% 0.58/0.89  cnf(151,plain,
% 0.58/0.89     (P2(f7(x1511,x1512),x1511)),
% 0.58/0.89     inference(rename_variables,[],[110])).
% 0.58/0.89  cnf(159,plain,
% 0.58/0.89     (~P2(f6(x1591,x1592),x1591)),
% 0.58/0.89     inference(rename_variables,[],[9])).
% 0.58/0.89  cnf(161,plain,
% 0.58/0.89     (P2(x1611,f7(x1611,x1612))),
% 0.58/0.89     inference(scs_inference,[],[2,9,5,110,151,32,15,30,42,19])).
% 0.58/0.89  cnf(163,plain,
% 0.58/0.89     (P4(f7(x1631,x1632),x1631)),
% 0.58/0.89     inference(scs_inference,[],[2,9,4,5,110,151,32,15,30,42,19,29])).
% 0.58/0.89  cnf(168,plain,
% 0.58/0.89     (P5(f7(f7(x1681,a1),f5(a3,a4)),x1681)),
% 0.58/0.89     inference(scs_inference,[],[2,8,9,159,4,10,5,110,151,115,32,15,30,42,19,29,104,45])).
% 0.58/0.89  cnf(182,plain,
% 0.58/0.89     (~P5(x1821,f7(x1821,x1822))),
% 0.58/0.89     inference(scs_inference,[],[5,10,161,42])).
% 0.58/0.89  cnf(184,plain,
% 0.58/0.89     (~P2(x1841,x1841)),
% 0.58/0.89     inference(rename_variables,[],[5])).
% 0.58/0.89  cnf(186,plain,
% 0.58/0.89     (~P2(x1861,f6(x1861,x1862))),
% 0.58/0.89     inference(scs_inference,[],[5,184,9,10,161,42,32])).
% 0.58/0.89  cnf(206,plain,
% 0.58/0.89     (~P4(x2061,f6(x2061,x2062))),
% 0.58/0.89     inference(scs_inference,[],[4,53,29])).
% 0.58/0.89  cnf(207,plain,
% 0.58/0.89     (~P4(f6(x2071,x2072),x2071)),
% 0.58/0.89     inference(rename_variables,[],[53])).
% 0.58/0.89  cnf(209,plain,
% 0.58/0.89     (~P2(x2091,f7(f7(x2091,x2092),x2093))),
% 0.58/0.89     inference(scs_inference,[],[4,10,182,53,29,33])).
% 0.58/0.89  cnf(210,plain,
% 0.58/0.89     (~P5(x2101,f7(x2101,x2102))),
% 0.58/0.89     inference(rename_variables,[],[182])).
% 0.58/0.89  cnf(212,plain,
% 0.58/0.89     (P2(a3,f6(a4,x2121))),
% 0.58/0.89     inference(scs_inference,[],[4,10,182,186,70,53,29,33,32])).
% 0.58/0.89  cnf(215,plain,
% 0.58/0.89     (P4(f7(f6(x2151,x2152),x2153),x2151)),
% 0.58/0.89     inference(scs_inference,[],[4,9,10,182,186,70,161,53,29,33,32,30])).
% 0.58/0.89  cnf(231,plain,
% 0.58/0.89     (~P5(x2311,f7(x2311,x2312))),
% 0.58/0.89     inference(rename_variables,[],[182])).
% 0.58/0.89  cnf(241,plain,
% 0.58/0.89     (~P2(f7(f7(x2411,a1),f5(a3,a4)),x2411)),
% 0.58/0.89     inference(scs_inference,[],[6,8,4,9,10,163,182,210,231,186,70,168,108,161,53,207,29,33,32,30,17,49,48,22,16,23,98,24,18,13,12,43])).
% 0.58/0.89  cnf(259,plain,
% 0.58/0.89     (P5(f7(a3,x2591),f6(a4,x2592))),
% 0.58/0.89     inference(scs_inference,[],[10,212,33])).
% 0.58/0.89  cnf(260,plain,
% 0.58/0.89     (~P5(f7(x2601,x2602),x2601)),
% 0.58/0.89     inference(rename_variables,[],[10])).
% 0.58/0.89  cnf(262,plain,
% 0.58/0.89     (P4(x2621,f7(f6(x2621,x2622),x2623))),
% 0.58/0.89     inference(scs_inference,[],[4,10,215,212,33,29])).
% 0.58/0.89  cnf(268,plain,
% 0.58/0.89     (P2(a3,f6(f6(a4,x2681),x2682))),
% 0.58/0.89     inference(scs_inference,[],[4,10,260,215,212,186,33,29,40,32])).
% 0.58/0.89  cnf(285,plain,
% 0.58/0.89     (P2(x2851,f7(f6(x2851,x2852),x2853))),
% 0.58/0.89     inference(scs_inference,[],[262,19])).
% 0.58/0.89  cnf(290,plain,
% 0.58/0.89     (P2(f6(f6(a4,x2901),x2902),a3)),
% 0.58/0.89     inference(scs_inference,[],[5,10,262,268,110,19,33,32])).
% 0.58/0.89  cnf(293,plain,
% 0.58/0.89     (~P5(x2931,f7(f6(x2931,x2932),x2933))),
% 0.58/0.89     inference(scs_inference,[],[5,10,262,268,110,186,19,33,32,38])).
% 0.58/0.89  cnf(319,plain,
% 0.58/0.89     (~P5(f7(x3191,x3192),x3191)),
% 0.58/0.89     inference(rename_variables,[],[10])).
% 0.58/0.89  cnf(321,plain,
% 0.58/0.89     (~P4(f7(f7(x3211,a1),f5(a3,a4)),x3211)),
% 0.58/0.89     inference(scs_inference,[],[10,241,150,186,41,19])).
% 0.58/0.89  cnf(327,plain,
% 0.58/0.89     (~P2(x3271,x3271)),
% 0.58/0.89     inference(rename_variables,[],[5])).
% 0.58/0.89  cnf(329,plain,
% 0.58/0.89     (~P4(f7(x3291,a1),f7(f6(x3291,x3292),f5(a3,a4)))),
% 0.58/0.89     inference(scs_inference,[],[8,5,10,319,293,241,150,115,112,186,41,19,43,106,45])).
% 0.58/0.89  cnf(335,plain,
% 0.58/0.89     (~P2(x3351,x3351)),
% 0.58/0.89     inference(rename_variables,[],[5])).
% 0.58/0.89  cnf(337,plain,
% 0.58/0.89     (~P2(f7(f7(x3371,x3372),x3373),x3371)),
% 0.58/0.89     inference(scs_inference,[],[8,5,327,335,10,319,293,290,241,150,115,209,112,186,41,19,43,106,45,42,32])).
% 0.58/0.89  cnf(340,plain,
% 0.58/0.89     (P2(f7(f6(x3401,x3402),x3403),f6(x3401,x3404))),
% 0.58/0.89     inference(scs_inference,[],[285,186,32])).
% 0.58/0.89  cnf(399,plain,
% 0.58/0.89     (P4(f6(x3991,x3992),f7(f6(x3991,x3993),x3994))),
% 0.58/0.89     inference(scs_inference,[],[5,10,340,290,337,15,33,30])).
% 0.58/0.89  cnf(400,plain,
% 0.58/0.89     (~P2(x4001,x4001)),
% 0.58/0.89     inference(rename_variables,[],[5])).
% 0.58/0.89  cnf(408,plain,
% 0.58/0.89     (~P4(x4081,f7(f7(x4081,a1),f5(a3,a4)))),
% 0.58/0.89     inference(scs_inference,[],[4,5,400,10,340,321,259,290,337,3,108,15,33,30,27,39,29])).
% 0.58/0.89  cnf(435,plain,
% 0.58/0.89     (P2(f6(x4351,x4352),f7(f6(x4351,x4353),x4354))),
% 0.58/0.89     inference(scs_inference,[],[399,4,29,19])).
% 0.58/0.89  cnf(456,plain,
% 0.58/0.89     (P4(a3,f7(f7(a4,a1),f5(a3,a4)))),
% 0.58/0.89     inference(scs_inference,[],[408,76,209,19,29])).
% 0.58/0.89  cnf(459,plain,
% 0.58/0.89     (~P2(f7(f6(x4591,x4592),f5(a3,a4)),f7(x4591,a1))),
% 0.58/0.89     inference(scs_inference,[],[5,329,408,76,209,19,29,30])).
% 0.58/0.89  cnf(465,plain,
% 0.58/0.89     (P3(a2,a4)),
% 0.58/0.89     inference(scs_inference,[],[5,8,329,408,76,209,19,29,30,31,126])).
% 0.58/0.89  cnf(488,plain,
% 0.58/0.89     ($false),
% 0.58/0.89     inference(scs_inference,[],[7,53,465,459,456,435,321,206,15,29,19,32,31]),
% 0.58/0.89     ['proof']).
% 0.58/0.89  % SZS output end Proof
% 0.58/0.89  % Total time :0.240000s
%------------------------------------------------------------------------------