TSTP Solution File: GEO212+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 22:43:43 EDT 2023
% Result : Theorem 1.01s 1.17s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:13:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.01/1.16 %-------------------------------------------
% 1.01/1.16 % File :CSE---1.6
% 1.01/1.16 % Problem :theBenchmark
% 1.01/1.16 % Transform :cnf
% 1.01/1.16 % Format :tptp:raw
% 1.01/1.16 % Command :java -jar mcs_scs.jar %d %s
% 1.01/1.16
% 1.01/1.16 % Result :Theorem 0.550000s
% 1.01/1.16 % Output :CNFRefutation 0.550000s
% 1.01/1.16 %-------------------------------------------
% 1.01/1.16 %------------------------------------------------------------------------------
% 1.01/1.16 % File : GEO212+2 : TPTP v8.1.2. Released v3.3.0.
% 1.01/1.16 % Domain : Geometry (Constructive)
% 1.01/1.16 % Problem : Non-orthogonal lines and a third line
% 1.01/1.16 % Version : [vPl95] axioms : Reduced > Especial.
% 1.01/1.16 % English : If a line L is not orthogonal to M, then a third line N is
% 1.01/1.16 % convergent to L or not orthogonal to M.
% 1.01/1.16
% 1.01/1.16 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.01/1.16 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 1.01/1.16 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 1.01/1.16 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.01/1.16 % Source : [ILTP]
% 1.01/1.16 % Names :
% 1.01/1.16
% 1.01/1.16 % Status : Theorem
% 1.01/1.16 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.13 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 1.01/1.16 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 1.01/1.16 % Number of atoms : 58 ( 0 equ)
% 1.01/1.16 % Maximal formula atoms : 6 ( 2 avg)
% 1.01/1.16 % Number of connectives : 44 ( 7 ~; 17 |; 5 &)
% 1.01/1.16 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 1.01/1.16 % Maximal formula depth : 9 ( 5 avg)
% 1.01/1.16 % Maximal term depth : 2 ( 1 avg)
% 1.01/1.16 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 1.01/1.16 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 1.01/1.16 % Number of variables : 53 ( 53 !; 0 ?)
% 1.01/1.16 % SPC : FOF_THM_RFO_NEQ
% 1.01/1.16
% 1.01/1.16 % Comments : Definitions unfolded, hence Especial.
% 1.01/1.16 %------------------------------------------------------------------------------
% 1.01/1.16 include('Axioms/GEO008+0.ax').
% 1.01/1.16 include('Axioms/GEO006+2.ax').
% 1.01/1.16 include('Axioms/GEO006+3.ax').
% 1.01/1.16 %------------------------------------------------------------------------------
% 1.01/1.16 fof(con,conjecture,
% 1.01/1.16 ! [L,M,N] :
% 1.01/1.16 ( unorthogonal_lines(L,M)
% 1.01/1.16 => ( convergent_lines(L,N)
% 1.01/1.17 | unorthogonal_lines(M,N) ) ) ).
% 1.01/1.17
% 1.01/1.17 %------------------------------------------------------------------------------
% 1.01/1.17 %-------------------------------------------
% 1.01/1.17 % Proof found
% 1.01/1.17 % SZS status Theorem for theBenchmark
% 1.01/1.17 % SZS output start Proof
% 1.01/1.17 %ClaNum:28(EqnAxiom:0)
% 1.01/1.17 %VarNum:138(SingletonVarNum:62)
% 1.01/1.17 %MaxLitNum:6
% 1.01/1.17 %MaxfuncDepth:1
% 1.01/1.17 %SharedTerms:6
% 1.01/1.17 %goalClause: 1 2 3
% 1.01/1.17 %singleGoalClaCount:3
% 1.01/1.17 [1]P1(a1,a2)
% 1.01/1.17 [2]~P2(a1,a3)
% 1.01/1.17 [3]~P1(a2,a3)
% 1.01/1.17 [4]~P4(x41,x41)
% 1.01/1.17 [5]~P5(x51,x51)
% 1.01/1.17 [6]~P2(x61,x61)
% 1.01/1.17 [7]~P3(x71,f4(x72,x71))
% 1.01/1.17 [8]~P3(x81,f5(x82,x81))
% 1.01/1.17 [9]~P2(f4(x91,x92),x91)
% 1.01/1.17 [10]~P1(f5(x101,x102),x101)
% 1.01/1.17 [11]P1(x111,x112)+P2(x111,x112)
% 1.01/1.17 [12]~P2(x121,x122)+P5(x121,x122)
% 1.01/1.17 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 1.01/1.17 [14]~P3(x141,x143)+P4(x141,x142)+P3(x142,x143)
% 1.01/1.17 [15]~P5(x153,x151)+P5(x151,x152)+P5(x153,x152)
% 1.01/1.17 [16]~P3(x163,x161)+P5(x161,x162)+P3(x163,x162)
% 1.01/1.17 [17]~P2(x173,x171)+P2(x171,x172)+P2(x173,x172)
% 1.01/1.17 [24]~P2(x242,x243)+~P3(x241,x243)+P4(x241,f6(x242,x243))
% 1.01/1.17 [25]~P2(x252,x253)+~P3(x251,x252)+P4(x251,f6(x252,x253))
% 1.01/1.17 [26]P4(x261,x262)+~P4(x263,x262)+~P3(x261,f7(x263,x262))
% 1.01/1.17 [27]P4(x271,x272)+~P4(x272,x273)+~P3(x271,f7(x272,x273))
% 1.01/1.17 [18]P3(x183,x181)+~P5(x181,x182)+P2(x181,x182)+P3(x183,x182)
% 1.01/1.17 [20]~P2(x201,x203)+~P1(x201,x203)+P2(x201,x202)+P1(x203,x202)
% 1.01/1.17 [21]~P2(x213,x211)+~P1(x213,x211)+P2(x211,x212)+P1(x213,x212)
% 1.12/1.17 [22]~P2(x221,x223)+~P1(x221,x223)+P1(x221,x222)+P1(x223,x222)
% 1.12/1.17 [23]P1(x233,x234)+~P5(x233,x232)+P3(x231,x232)+P3(x231,x233)+P1(x232,x234)
% 1.12/1.17 [28]P3(x284,x283)+~P4(x284,x281)+~P5(x283,x282)+P3(x281,x282)+P3(x281,x283)+P3(x284,x282)
% 1.12/1.17 %EqnAxiom
% 1.12/1.17
% 1.12/1.17 %-------------------------------------------
% 1.12/1.17 cnf(30,plain,
% 1.12/1.17 (~P2(a1,a2)),
% 1.12/1.17 inference(scs_inference,[],[1,6,2,3,11,20])).
% 1.12/1.17 cnf(33,plain,
% 1.12/1.17 (~P5(f4(f5(x331,x332),x332),f5(x331,x332))),
% 1.12/1.17 inference(scs_inference,[],[1,4,6,2,3,7,8,9,11,20,27,18])).
% 1.12/1.17 cnf(35,plain,
% 1.12/1.17 (~P3(x351,f4(x352,x351))),
% 1.12/1.17 inference(rename_variables,[],[7])).
% 1.12/1.17 cnf(36,plain,
% 1.12/1.17 (~P2(f4(x361,x362),x361)),
% 1.12/1.17 inference(rename_variables,[],[9])).
% 1.12/1.17 cnf(38,plain,
% 1.12/1.17 (~P2(x381,f4(x381,x382))),
% 1.12/1.17 inference(scs_inference,[],[1,4,6,2,3,7,8,9,36,11,20,27,18,17])).
% 1.12/1.17 cnf(43,plain,
% 1.12/1.17 (P1(f4(x431,x432),a3)+P3(x432,a2)+~P5(a2,f4(x431,x432))+~P3(x433,f7(x433,x432))),
% 1.12/1.17 inference(scs_inference,[],[1,4,6,2,3,7,35,8,9,36,11,20,27,18,17,14,23])).
% 1.12/1.17 cnf(45,plain,
% 1.12/1.17 (P2(f5(x451,x452),x451)),
% 1.12/1.17 inference(scs_inference,[],[10,11])).
% 1.12/1.17 cnf(47,plain,
% 1.12/1.17 (~P2(f4(a3,x471),a1)),
% 1.12/1.17 inference(scs_inference,[],[10,2,9,11,17])).
% 1.12/1.17 cnf(48,plain,
% 1.12/1.17 (~P2(f4(x481,x482),x481)),
% 1.12/1.17 inference(rename_variables,[],[9])).
% 1.12/1.17 cnf(52,plain,
% 1.12/1.17 (~P3(f6(f5(x521,x522),x521),f5(x521,x522))),
% 1.12/1.17 inference(scs_inference,[],[10,2,9,4,11,17,26,25])).
% 1.12/1.17 cnf(53,plain,
% 1.12/1.17 (~P4(x531,x531)),
% 1.12/1.17 inference(rename_variables,[],[4])).
% 1.12/1.17 cnf(55,plain,
% 1.12/1.17 (~P3(f6(f5(x551,x552),x551),x551)),
% 1.12/1.17 inference(scs_inference,[],[10,2,9,4,53,11,17,26,25,24])).
% 1.12/1.17 cnf(58,plain,
% 1.12/1.17 (P5(f5(x581,x582),x581)),
% 1.12/1.17 inference(scs_inference,[],[10,2,9,4,53,11,17,26,25,24,12])).
% 1.12/1.17 cnf(60,plain,
% 1.12/1.17 (P1(f5(a2,x601),a3)+P3(x601,a2)),
% 1.12/1.17 inference(scs_inference,[],[10,2,8,9,4,53,3,11,17,26,25,24,12,23])).
% 1.12/1.17 cnf(63,plain,
% 1.12/1.17 (~P1(f4(a2,x631),f5(a2,x632))+~P2(f4(a2,x631),f5(a2,x632))),
% 1.12/1.17 inference(scs_inference,[],[10,2,8,9,48,4,53,3,11,17,26,25,24,12,23,20])).
% 1.12/1.17 cnf(68,plain,
% 1.12/1.17 (P5(x681,f5(x681,x682))),
% 1.12/1.17 inference(scs_inference,[],[5,58,15])).
% 1.12/1.17 cnf(71,plain,
% 1.12/1.17 (P2(f4(x711,x712),f5(f4(x711,x712),x712))),
% 1.12/1.17 inference(scs_inference,[],[5,7,8,58,15,18])).
% 1.12/1.17 cnf(77,plain,
% 1.12/1.17 (P2(f5(a1,x771),a3)),
% 1.12/1.17 inference(scs_inference,[],[2,5,7,8,45,58,15,18,11,17])).
% 1.12/1.17 cnf(84,plain,
% 1.12/1.17 (P2(a2,a3)),
% 1.12/1.17 inference(scs_inference,[],[3,11])).
% 1.12/1.17 cnf(86,plain,
% 1.12/1.17 (~P2(a1,f4(a3,x861))),
% 1.12/1.17 inference(scs_inference,[],[2,9,3,11,17])).
% 1.12/1.17 cnf(106,plain,
% 1.12/1.17 (P2(f5(f4(x1061,x1062),x1062),x1061)),
% 1.12/1.17 inference(scs_inference,[],[9,71,11,17])).
% 1.12/1.17 cnf(109,plain,
% 1.12/1.17 (P2(f5(f4(a1,x1091),x1091),a2)),
% 1.12/1.17 inference(scs_inference,[],[30,106,17])).
% 1.12/1.17 cnf(110,plain,
% 1.12/1.17 (P2(f5(f4(x1101,x1102),x1102),x1101)),
% 1.12/1.17 inference(rename_variables,[],[106])).
% 1.12/1.17 cnf(112,plain,
% 1.12/1.17 (P5(f5(f4(x1121,x1122),x1122),x1121)),
% 1.12/1.17 inference(scs_inference,[],[30,106,110,17,12])).
% 1.12/1.17 cnf(128,plain,
% 1.12/1.17 (~P2(a1,f4(a2,x1281))),
% 1.12/1.17 inference(scs_inference,[],[30,7,8,9,10,112,23,17])).
% 1.12/1.17 cnf(133,plain,
% 1.12/1.17 (~P3(f6(a2,a3),a3)),
% 1.12/1.17 inference(scs_inference,[],[4,30,7,8,9,10,112,84,86,23,17,11,24])).
% 1.12/1.17 cnf(134,plain,
% 1.12/1.17 (~P4(x1341,x1341)),
% 1.12/1.17 inference(rename_variables,[],[4])).
% 1.12/1.17 cnf(136,plain,
% 1.12/1.17 (~P3(f6(a2,a3),a2)),
% 1.12/1.17 inference(scs_inference,[],[4,134,30,7,8,9,10,112,84,86,23,17,11,24,25])).
% 1.12/1.17 cnf(138,plain,
% 1.12/1.17 (P1(f5(a2,f6(a2,a3)),a3)),
% 1.12/1.17 inference(scs_inference,[],[136,60])).
% 1.12/1.17 cnf(140,plain,
% 1.12/1.17 (P2(a2,f5(f4(a1,x1401),x1401))),
% 1.12/1.17 inference(scs_inference,[],[6,136,109,60,17])).
% 1.12/1.17 cnf(141,plain,
% 1.12/1.17 (~P2(x1411,x1411)),
% 1.12/1.17 inference(rename_variables,[],[6])).
% 1.12/1.17 cnf(145,plain,
% 1.12/1.17 (~P1(f5(x1451,x1452),x1451)),
% 1.12/1.17 inference(rename_variables,[],[10])).
% 1.12/1.17 cnf(146,plain,
% 1.12/1.17 (~P3(x1461,f5(x1462,x1461))),
% 1.12/1.17 inference(rename_variables,[],[8])).
% 1.12/1.18 cnf(151,plain,
% 1.12/1.18 (~P3(x1511,f7(x1511,f6(a2,a3)))+P1(f4(x1512,f6(a2,a3)),a3)+~P5(a2,f4(x1512,f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[6,141,8,10,136,109,112,60,17,23,20,43])).
% 1.12/1.18 cnf(156,plain,
% 1.12/1.18 (P3(x1561,f5(f5(x1562,x1561),x1563))+P2(f5(x1562,x1561),f5(f5(x1562,x1561),x1563))),
% 1.12/1.18 inference(scs_inference,[],[6,141,8,146,10,145,136,109,68,112,60,17,23,20,43,22,18])).
% 1.12/1.18 cnf(159,plain,
% 1.12/1.18 (~P3(f6(f5(a1,x1591),a3),a3)),
% 1.12/1.18 inference(scs_inference,[],[77,4,24])).
% 1.12/1.18 cnf(160,plain,
% 1.12/1.18 (~P4(x1601,x1601)),
% 1.12/1.18 inference(rename_variables,[],[4])).
% 1.12/1.18 cnf(165,plain,
% 1.12/1.18 (P2(f5(f4(x1651,x1652),x1652),f4(x1651,x1653))),
% 1.12/1.18 inference(scs_inference,[],[38,106,77,4,160,24,25,17])).
% 1.12/1.18 cnf(169,plain,
% 1.12/1.18 (~P3(x1691,f5(x1692,x1691))),
% 1.12/1.18 inference(rename_variables,[],[8])).
% 1.12/1.18 cnf(172,plain,
% 1.12/1.18 (~P2(x1721,f4(x1721,x1722))),
% 1.12/1.18 inference(rename_variables,[],[38])).
% 1.12/1.18 cnf(174,plain,
% 1.12/1.18 (~P5(f5(x1741,x1742),f4(f5(x1741,x1742),x1742))),
% 1.12/1.18 inference(scs_inference,[],[38,172,7,8,169,138,106,77,4,160,24,25,17,156,21,18])).
% 1.12/1.18 cnf(203,plain,
% 1.12/1.18 (~P1(f5(f4(x2031,x2032),x2032),x2031)),
% 1.12/1.18 inference(scs_inference,[],[38,10,106,21])).
% 1.12/1.18 cnf(210,plain,
% 1.12/1.18 (P2(f5(x2101,x2102),f4(x2101,x2103))),
% 1.12/1.18 inference(scs_inference,[],[6,45,38,10,138,106,21,20,17])).
% 1.12/1.18 cnf(217,plain,
% 1.12/1.18 (P2(x2171,f5(x2171,x2172))),
% 1.12/1.18 inference(scs_inference,[],[6,45,17])).
% 1.12/1.18 cnf(224,plain,
% 1.12/1.18 (~P1(x2241,f5(x2241,x2242))),
% 1.12/1.18 inference(scs_inference,[],[10,217,6,20])).
% 1.12/1.18 cnf(226,plain,
% 1.12/1.18 (~P1(f5(x2261,x2262),x2261)),
% 1.12/1.18 inference(rename_variables,[],[10])).
% 1.12/1.18 cnf(228,plain,
% 1.12/1.18 (~P2(f4(a1,x2281),f4(a3,x2282))),
% 1.12/1.18 inference(scs_inference,[],[47,9,10,217,6,20,17])).
% 1.12/1.18 cnf(231,plain,
% 1.12/1.18 (~P1(f5(x2311,x2312),f5(f4(x2311,x2313),x2313))+~P2(f5(x2311,x2312),f5(f4(x2311,x2313),x2313))),
% 1.12/1.18 inference(scs_inference,[],[47,9,10,226,217,203,6,20,17,22])).
% 1.12/1.18 cnf(234,plain,
% 1.12/1.18 (~P2(f5(a2,f6(a2,a3)),a3)+P2(a3,a2)),
% 1.12/1.18 inference(scs_inference,[],[47,9,10,226,217,203,138,6,20,17,22,21])).
% 1.12/1.18 cnf(237,plain,
% 1.12/1.18 (P2(f5(f4(a3,x2371),x2372),a1)),
% 1.12/1.18 inference(scs_inference,[],[47,45,17])).
% 1.12/1.18 cnf(240,plain,
% 1.12/1.18 (P5(f5(x2401,x2402),f4(x2401,x2403))),
% 1.12/1.18 inference(scs_inference,[],[47,45,210,17,12])).
% 1.12/1.18 cnf(242,plain,
% 1.12/1.18 (~P1(f5(a1,x2421),f4(a3,x2422))+~P2(f5(a1,x2421),f4(a3,x2422))),
% 1.12/1.18 inference(scs_inference,[],[47,45,10,210,17,12,21])).
% 1.12/1.18 cnf(247,plain,
% 1.12/1.18 (~P3(f6(f5(x2471,x2472),f4(x2471,x2473)),f4(x2471,x2473))),
% 1.12/1.18 inference(scs_inference,[],[47,45,10,210,4,17,12,21,11,24])).
% 1.12/1.18 cnf(248,plain,
% 1.12/1.18 (~P4(x2481,x2481)),
% 1.12/1.18 inference(rename_variables,[],[4])).
% 1.12/1.18 cnf(250,plain,
% 1.12/1.18 (~P3(f6(f5(x2501,x2502),f4(x2501,x2503)),f5(x2501,x2502))),
% 1.12/1.18 inference(scs_inference,[],[47,45,10,210,4,248,17,12,21,11,24,25])).
% 1.12/1.18 cnf(253,plain,
% 1.12/1.18 (P1(f5(x2531,x2532),f5(f4(x2531,x2532),x2533))),
% 1.12/1.18 inference(scs_inference,[],[7,47,45,8,10,224,210,4,248,17,12,21,11,24,25,23])).
% 1.12/1.18 cnf(260,plain,
% 1.12/1.18 (~P2(f5(x2601,x2602),f5(f4(x2601,x2602),x2602))),
% 1.12/1.18 inference(scs_inference,[],[253,231])).
% 1.12/1.18 cnf(263,plain,
% 1.12/1.18 (P2(x2631,f4(f5(x2631,x2632),x2633))),
% 1.12/1.18 inference(scs_inference,[],[45,38,253,231,17])).
% 1.12/1.18 cnf(266,plain,
% 1.12/1.18 (P5(f4(x2661,x2662),f4(f5(x2661,x2663),x2663))),
% 1.12/1.18 inference(scs_inference,[],[45,38,253,240,174,231,17,15])).
% 1.12/1.18 cnf(278,plain,
% 1.12/1.18 (P5(f4(x2781,x2782),f5(x2781,x2783))),
% 1.12/1.18 inference(scs_inference,[],[33,266,15])).
% 1.12/1.18 cnf(281,plain,
% 1.12/1.18 (~P1(f5(f4(a3,x2811),x2812),a1)),
% 1.12/1.18 inference(scs_inference,[],[33,10,266,237,86,15,21])).
% 1.12/1.18 cnf(283,plain,
% 1.12/1.18 (~P1(f5(x2831,x2832),x2831)),
% 1.12/1.18 inference(rename_variables,[],[10])).
% 1.12/1.18 cnf(285,plain,
% 1.12/1.18 (~P2(f4(a2,x2851),a1)),
% 1.12/1.18 inference(scs_inference,[],[33,30,9,10,266,237,86,15,21,17])).
% 1.12/1.18 cnf(288,plain,
% 1.12/1.18 (~P5(a3,f5(f5(a3,x2881),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[8,33,30,9,10,283,266,133,237,86,224,15,21,17,23])).
% 1.12/1.18 cnf(293,plain,
% 1.12/1.18 (~P2(a3,f5(f5(a3,x2931),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[8,33,30,9,10,283,266,133,237,86,224,15,21,17,23,12])).
% 1.12/1.18 cnf(304,plain,
% 1.12/1.18 (~P1(f5(x3041,x3042),f4(x3041,x3042))),
% 1.12/1.18 inference(scs_inference,[],[260,263,224,210,12,20])).
% 1.12/1.18 cnf(306,plain,
% 1.12/1.18 (~P1(x3061,f5(x3061,x3062))),
% 1.12/1.18 inference(rename_variables,[],[224])).
% 1.12/1.18 cnf(308,plain,
% 1.12/1.18 (P2(f5(f4(x3081,x3082),x3083),x3081)),
% 1.12/1.18 inference(scs_inference,[],[9,45,260,263,224,210,12,20,17])).
% 1.12/1.18 cnf(313,plain,
% 1.12/1.18 (P2(f4(x3131,x3132),f5(x3131,x3133))),
% 1.12/1.18 inference(scs_inference,[],[9,45,260,250,278,247,263,224,210,12,20,17,151,18])).
% 1.12/1.18 cnf(319,plain,
% 1.12/1.18 (~P1(f5(x3191,x3192),x3191)),
% 1.12/1.18 inference(rename_variables,[],[10])).
% 1.12/1.18 cnf(321,plain,
% 1.12/1.18 (~P5(f5(f5(a3,x3211),f6(a2,a3)),a3)),
% 1.12/1.18 inference(scs_inference,[],[9,45,10,319,260,250,278,247,253,263,133,224,306,210,8,12,20,17,151,18,22,23])).
% 1.12/1.18 cnf(326,plain,
% 1.12/1.18 (~P1(f4(a2,x3261),f5(a2,x3262))),
% 1.12/1.18 inference(scs_inference,[],[313,63])).
% 1.12/1.18 cnf(329,plain,
% 1.12/1.18 (~P2(f5(f5(a3,x3291),f6(a2,a3)),a3)),
% 1.12/1.18 inference(scs_inference,[],[313,321,63,12])).
% 1.12/1.18 cnf(331,plain,
% 1.12/1.18 (P2(f5(f4(a1,x3311),x3311),f4(a2,x3312))),
% 1.12/1.18 inference(scs_inference,[],[38,313,321,140,63,12,17])).
% 1.12/1.18 cnf(339,plain,
% 1.12/1.18 (P5(f5(f4(x3391,x3392),x3393),x3391)),
% 1.12/1.18 inference(scs_inference,[],[308,12])).
% 1.12/1.18 cnf(354,plain,
% 1.12/1.18 (P2(f5(a1,x3541),a2)),
% 1.12/1.18 inference(scs_inference,[],[30,228,217,11,17])).
% 1.12/1.18 cnf(368,plain,
% 1.12/1.18 (P2(f5(a1,x3681),f4(a2,x3682))),
% 1.12/1.18 inference(scs_inference,[],[38,354,17])).
% 1.12/1.18 cnf(380,plain,
% 1.12/1.18 (P5(f5(a1,x3801),f4(a2,x3802))),
% 1.12/1.18 inference(scs_inference,[],[368,12])).
% 1.12/1.18 cnf(382,plain,
% 1.12/1.18 (~P1(f5(f4(a3,x3821),x3821),f4(a3,x3822))),
% 1.12/1.18 inference(scs_inference,[],[47,368,281,165,12,21])).
% 1.12/1.18 cnf(386,plain,
% 1.12/1.18 (P2(f5(a3,x3861),a1)),
% 1.12/1.18 inference(scs_inference,[],[47,368,281,165,313,12,21,17])).
% 1.12/1.18 cnf(396,plain,
% 1.12/1.18 (P2(f5(a3,x3961),a2)),
% 1.12/1.18 inference(scs_inference,[],[30,52,58,55,382,386,23,17])).
% 1.12/1.18 cnf(410,plain,
% 1.12/1.18 (P1(f5(a1,x4101),f5(a2,x4102))),
% 1.12/1.18 inference(scs_inference,[],[52,380,326,7,23])).
% 1.12/1.18 cnf(422,plain,
% 1.12/1.18 (P1(f5(f4(a2,x4221),x4222),f5(a2,x4223))),
% 1.12/1.18 inference(scs_inference,[],[52,58,55,326,23])).
% 1.12/1.18 cnf(427,plain,
% 1.12/1.18 (~P2(x4271,f4(f4(x4271,x4272),x4273))),
% 1.12/1.18 inference(scs_inference,[],[52,58,55,38,326,9,23,17])).
% 1.12/1.18 cnf(446,plain,
% 1.12/1.18 (P5(f5(a1,x4461),a3)),
% 1.12/1.18 inference(scs_inference,[],[52,77,38,278,326,7,23,17,12])).
% 1.12/1.18 cnf(455,plain,
% 1.12/1.18 (~P1(f5(f4(a3,x4551),x4552),a1)),
% 1.12/1.18 inference(rename_variables,[],[281])).
% 1.12/1.18 cnf(459,plain,
% 1.12/1.18 (P2(a2,f4(a3,x4591))),
% 1.12/1.18 inference(scs_inference,[],[38,84,339,159,281,8,23,17])).
% 1.12/1.18 cnf(460,plain,
% 1.12/1.18 (~P2(x4601,f4(x4601,x4602))),
% 1.12/1.18 inference(rename_variables,[],[38])).
% 1.12/1.18 cnf(470,plain,
% 1.12/1.18 (~P1(f5(a1,x4701),a3)+P1(f5(a1,x4701),f4(a3,x4702))),
% 1.12/1.18 inference(scs_inference,[],[38,460,84,68,77,339,427,159,288,281,455,8,10,23,17,15,22,11,21])).
% 1.12/1.18 cnf(508,plain,
% 1.12/1.18 (P2(f5(a1,x5081),f4(a3,x5082))),
% 1.12/1.18 inference(scs_inference,[],[86,217,17])).
% 1.12/1.18 cnf(516,plain,
% 1.12/1.18 (~P1(x5161,f5(x5161,x5162))),
% 1.12/1.18 inference(rename_variables,[],[224])).
% 1.12/1.18 cnf(521,plain,
% 1.12/1.18 (~P1(f5(a1,x5211),f4(a3,x5212))),
% 1.12/1.18 inference(scs_inference,[],[86,84,68,77,217,133,224,516,8,17,12,23,22,242])).
% 1.12/1.18 cnf(526,plain,
% 1.12/1.18 (~P1(f5(a1,x5261),a3)),
% 1.12/1.18 inference(scs_inference,[],[521,470])).
% 1.12/1.18 cnf(538,plain,
% 1.12/1.18 (P2(a2,f5(f5(a3,x5381),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[84,68,52,55,521,293,228,313,470,23,20,17])).
% 1.12/1.18 cnf(571,plain,
% 1.12/1.18 (~P1(f5(a3,x5711),a1)),
% 1.12/1.18 inference(scs_inference,[],[86,329,386,304,11,21])).
% 1.12/1.18 cnf(573,plain,
% 1.12/1.18 (~P2(a1,f4(a3,x5731))),
% 1.12/1.18 inference(rename_variables,[],[86])).
% 1.12/1.18 cnf(578,plain,
% 1.12/1.18 (~P2(f5(f4(a2,x5781),x5781),f5(a2,x5782))),
% 1.12/1.18 inference(scs_inference,[],[86,573,329,422,386,247,203,304,10,11,21,18,22])).
% 1.12/1.18 cnf(590,plain,
% 1.12/1.18 (~P1(a2,f5(f5(a3,x5901),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[538,329,3,21])).
% 1.12/1.18 cnf(611,plain,
% 1.12/1.18 (~P1(f5(a3,x6111),a2)),
% 1.12/1.18 inference(scs_inference,[],[590,396,224,22])).
% 1.12/1.18 cnf(612,plain,
% 1.12/1.18 (~P1(a2,f5(f5(a3,x6121),f6(a2,a3)))),
% 1.12/1.18 inference(rename_variables,[],[590])).
% 1.12/1.18 cnf(619,plain,
% 1.12/1.18 (~P1(f4(a3,x6191),f5(a3,x6192))),
% 1.12/1.18 inference(scs_inference,[],[590,571,285,331,313,396,203,224,47,22,21,20])).
% 1.12/1.18 cnf(632,plain,
% 1.12/1.18 (~P3(f6(f5(a1,x6321),f4(a3,x6322)),f4(a3,x6322))),
% 1.12/1.18 inference(scs_inference,[],[55,128,58,590,612,508,571,285,331,313,396,203,224,52,4,47,9,22,21,20,17,23,24])).
% 1.12/1.18 cnf(633,plain,
% 1.12/1.18 (~P4(x6331,x6331)),
% 1.12/1.18 inference(rename_variables,[],[4])).
% 1.12/1.18 cnf(635,plain,
% 1.12/1.18 (~P3(f6(f5(a1,x6351),f4(a3,x6352)),f5(a1,x6351))),
% 1.12/1.18 inference(scs_inference,[],[55,128,58,590,612,508,571,285,331,313,396,203,224,52,4,633,47,9,22,21,20,17,23,24,25])).
% 1.12/1.18 cnf(638,plain,
% 1.12/1.18 (~P5(f4(a3,f6(a2,a3)),a3)),
% 1.12/1.18 inference(scs_inference,[],[619,133,224,7,23])).
% 1.12/1.18 cnf(661,plain,
% 1.12/1.18 (P2(f5(a1,x6611),f5(f5(a3,x6612),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[77,578,165,293,326,20,17])).
% 1.12/1.18 cnf(663,plain,
% 1.12/1.18 (~P5(a3,f4(a3,f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[77,578,638,165,293,5,326,20,17,15])).
% 1.12/1.18 cnf(692,plain,
% 1.12/1.18 (P5(f5(a1,x6921),f4(a3,f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[663,446,15])).
% 1.12/1.18 cnf(703,plain,
% 1.12/1.18 (~P1(f5(a1,x7031),f5(f5(a3,x7032),f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[68,133,661,663,446,611,526,329,427,7,8,15,18,23,21])).
% 1.12/1.18 cnf(709,plain,
% 1.12/1.18 (~P2(f5(a2,f6(a2,a3)),a3)),
% 1.12/1.18 inference(scs_inference,[],[68,133,661,663,590,446,611,526,329,427,293,7,8,15,18,23,21,20,234])).
% 1.12/1.18 cnf(720,plain,
% 1.12/1.18 (~P2(f5(a1,x7201),f5(a2,f6(a2,a3)))),
% 1.12/1.18 inference(scs_inference,[],[709,692,635,632,410,619,526,23,21])).
% 1.12/1.18 cnf(749,plain,
% 1.12/1.18 ($false),
% 1.12/1.18 inference(scs_inference,[],[136,720,703,459,368,590,571,354,210,326,4,47,8,24,23,21,20,12]),
% 1.12/1.18 ['proof']).
% 1.12/1.18 % SZS output end Proof
% 1.12/1.18 % Total time :0.550000s
%------------------------------------------------------------------------------