TSTP Solution File: GEO222+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 22:43:50 EDT 2023
% Result : Theorem 0.52s 0.86s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n032.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 22:42:47 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.14/0.55 start to proof:theBenchmark
% 0.52/0.85 %-------------------------------------------
% 0.52/0.85 % File :CSE---1.6
% 0.52/0.85 % Problem :theBenchmark
% 0.52/0.85 % Transform :cnf
% 0.52/0.85 % Format :tptp:raw
% 0.52/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.85
% 0.52/0.85 % Result :Theorem 0.230000s
% 0.52/0.85 % Output :CNFRefutation 0.230000s
% 0.52/0.85 %-------------------------------------------
% 0.52/0.86 %------------------------------------------------------------------------------
% 0.52/0.86 % File : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.52/0.86 % Domain : Geometry (Constructive)
% 0.52/0.86 % Problem : Parallel to orthogonal to orthogonal
% 0.52/0.86 % Version : [vPl95] axioms.
% 0.52/0.86 % English : A line L is parallel to the line, that is orthogonal to the
% 0.52/0.86 % orthogonal to L through A, and goes through A as well.
% 0.52/0.86
% 0.52/0.86 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.86 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.86 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.52/0.86 % Source : [Rat07]
% 0.52/0.86 % Names : Theorem 8.9 [vPl95]
% 0.52/0.86
% 0.52/0.86 % Status : Theorem
% 0.52/0.86 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.17 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 v4.0.1, 0.16 v4.0.0
% 0.52/0.86 % Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% 0.52/0.86 % Number of atoms : 94 ( 0 equ)
% 0.52/0.86 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.86 % Number of connectives : 86 ( 28 ~; 19 |; 13 &)
% 0.52/0.86 % ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% 0.52/0.86 % Maximal formula depth : 9 ( 5 avg)
% 0.52/0.86 % Maximal term depth : 3 ( 1 avg)
% 0.52/0.86 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.52/0.86 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.52/0.86 % Number of variables : 83 ( 83 !; 0 ?)
% 0.52/0.86 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.86
% 0.52/0.86 % Comments :
% 0.52/0.86 %------------------------------------------------------------------------------
% 0.52/0.86 include('Axioms/GEO006+0.ax').
% 0.52/0.86 include('Axioms/GEO006+1.ax').
% 0.52/0.86 include('Axioms/GEO006+2.ax').
% 0.52/0.86 include('Axioms/GEO006+3.ax').
% 0.52/0.86 include('Axioms/GEO006+4.ax').
% 0.52/0.86 include('Axioms/GEO006+5.ax').
% 0.52/0.86 include('Axioms/GEO006+6.ax').
% 0.52/0.86 %------------------------------------------------------------------------------
% 0.52/0.86 fof(con,conjecture,
% 0.52/0.86 ! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 0.52/0.86
% 0.52/0.86 %------------------------------------------------------------------------------
% 0.52/0.86 %-------------------------------------------
% 0.52/0.86 % Proof found
% 0.52/0.86 % SZS status Theorem for theBenchmark
% 0.52/0.86 % SZS output start Proof
% 0.52/0.86 %ClaNum:47(EqnAxiom:0)
% 0.52/0.86 %VarNum:218(SingletonVarNum:98)
% 0.52/0.86 %MaxLitNum:6
% 0.52/0.86 %MaxfuncDepth:2
% 0.52/0.86 %SharedTerms:5
% 0.52/0.86 %goalClause: 8
% 0.52/0.86 %singleGoalClaCount:1
% 0.52/0.86 [8]~P6(a3,f2(f2(a3,a4),a4))
% 0.52/0.86 [1]~P1(x11,x11)
% 0.52/0.86 [2]~P2(x21,x21)
% 0.52/0.86 [3]~P3(x31,x31)
% 0.52/0.86 [4]~P4(x41,f1(x42,x41))
% 0.52/0.86 [5]~P4(x51,f2(x52,x51))
% 0.52/0.86 [6]~P3(f1(x61,x62),x61)
% 0.52/0.86 [7]~P5(f2(x71,x72),x71)
% 0.52/0.86 [9]P7(x91,x92)+P1(x91,x92)
% 0.52/0.86 [10]P8(x101,x102)+P2(x101,x102)
% 0.52/0.86 [12]P5(x121,x122)+P3(x121,x122)
% 0.52/0.86 [13]P6(x131,x132)+P3(x131,x132)
% 0.52/0.86 [14]P9(x141,x142)+P4(x141,x142)
% 0.52/0.86 [15]P10(x151,x152)+P5(x151,x152)
% 0.52/0.86 [16]~P2(x161,x162)+P3(x161,x162)
% 0.52/0.86 [19]~P7(x191,x192)+~P1(x191,x192)
% 0.52/0.86 [20]~P8(x201,x202)+~P2(x201,x202)
% 0.52/0.86 [21]~P6(x211,x212)+~P3(x211,x212)
% 0.52/0.86 [22]~P9(x221,x222)+~P4(x221,x222)
% 0.52/0.86 [23]~P10(x231,x232)+~P5(x231,x232)
% 0.52/0.86 [43]~P1(x431,x432)+~P4(x432,f6(x431,x432))
% 0.52/0.86 [44]~P1(x441,x442)+~P4(x441,f6(x441,x442))
% 0.52/0.86 [45]~P3(x451,x452)+~P4(f5(x451,x452),x452)
% 0.52/0.86 [46]~P3(x461,x462)+~P4(f5(x461,x462),x461)
% 0.52/0.86 [17]~P12(x172)+~P11(x171)+P11(f1(x171,x172))
% 0.52/0.86 [18]~P12(x182)+~P11(x181)+P11(f2(x181,x182))
% 0.52/0.86 [24]~P1(x243,x241)+P1(x241,x242)+P1(x243,x242)
% 0.52/0.86 [25]~P4(x251,x253)+P1(x251,x252)+P4(x252,x253)
% 0.52/0.86 [26]~P2(x263,x261)+P2(x261,x262)+P2(x263,x262)
% 0.52/0.86 [27]~P3(x273,x271)+P2(x271,x272)+P3(x273,x272)
% 0.52/0.86 [28]~P4(x283,x281)+P2(x281,x282)+P4(x283,x282)
% 0.52/0.86 [29]~P3(x293,x291)+P3(x291,x292)+P3(x293,x292)
% 0.52/0.86 [30]~P3(x303,x302)+P5(x301,x302)+P5(x301,x303)
% 0.52/0.86 [32]~P11(x322)+~P11(x321)+~P3(x321,x322)+P12(f5(x321,x322))
% 0.52/0.86 [33]~P12(x332)+~P12(x331)+~P1(x331,x332)+P11(f6(x331,x332))
% 0.52/0.86 [35]~P3(x351,x353)+~P5(x351,x353)+P3(x351,x352)+P5(x353,x352)
% 0.52/0.86 [36]~P3(x362,x363)+~P5(x362,x363)+P3(x361,x362)+P3(x361,x363)
% 0.52/0.86 [37]~P3(x372,x373)+~P5(x372,x373)+P3(x371,x372)+P5(x371,x373)
% 0.52/0.86 [38]~P3(x383,x381)+~P5(x383,x381)+P3(x381,x382)+P5(x383,x382)
% 0.52/0.86 [39]~P3(x393,x392)+~P5(x393,x392)+P3(x391,x392)+P5(x391,x393)
% 0.52/0.86 [40]~P3(x401,x403)+~P5(x401,x403)+P5(x401,x402)+P5(x403,x402)
% 0.52/0.86 [42]P5(x423,x424)+~P2(x423,x422)+P4(x421,x422)+P4(x421,x423)+P5(x422,x424)
% 0.52/0.86 [47]P4(x474,x473)+~P1(x474,x471)+~P2(x473,x472)+P4(x471,x472)+P4(x471,x473)+P4(x474,x472)
% 0.52/0.86 %EqnAxiom
% 0.52/0.86
% 0.52/0.86 %-------------------------------------------
% 0.52/0.86 cnf(48,plain,
% 0.52/0.86 (~P2(f1(x481,x482),x481)),
% 0.52/0.86 inference(scs_inference,[],[6,16])).
% 0.52/0.86 cnf(54,plain,
% 0.52/0.86 (P5(x541,x541)),
% 0.52/0.86 inference(scs_inference,[],[3,4,6,7,16,15,14,13,12])).
% 0.52/0.86 cnf(60,plain,
% 0.52/0.86 (~P5(x601,f2(x601,x602))+~P3(x601,f2(x601,x602))),
% 0.52/0.86 inference(scs_inference,[],[1,2,3,4,6,7,16,15,14,13,12,10,9,39])).
% 0.52/0.86 cnf(61,plain,
% 0.52/0.86 (~P3(x611,x611)),
% 0.52/0.86 inference(rename_variables,[],[3])).
% 0.52/0.86 cnf(65,plain,
% 0.52/0.86 (~P3(x651,f1(x651,x652))),
% 0.52/0.86 inference(scs_inference,[],[1,2,3,61,4,6,7,16,15,14,13,12,10,9,39,23,29])).
% 0.52/0.86 cnf(68,plain,
% 0.52/0.86 (~P4(x681,f1(f1(x682,x681),x683))),
% 0.52/0.86 inference(scs_inference,[],[1,2,3,61,4,6,7,16,15,14,13,12,10,9,39,23,29,28])).
% 0.52/0.86 cnf(70,plain,
% 0.52/0.86 (P5(f1(x701,x702),x703)+~P2(f2(x703,x702),f1(x701,x702))),
% 0.52/0.86 inference(scs_inference,[],[1,2,3,61,4,5,6,7,16,15,14,13,12,10,9,39,23,29,28,42])).
% 0.52/0.86 cnf(74,plain,
% 0.52/0.86 (~P3(x741,f1(f1(x741,x742),x743))),
% 0.52/0.86 inference(scs_inference,[],[6,65,29])).
% 0.52/0.86 cnf(77,plain,
% 0.52/0.86 (P3(a3,f2(f2(a3,a4),a4))),
% 0.52/0.86 inference(scs_inference,[],[8,6,65,29,13])).
% 0.52/0.86 cnf(79,plain,
% 0.52/0.86 (P3(f2(x791,x792),x791)),
% 0.52/0.86 inference(scs_inference,[],[8,6,7,65,29,13,12])).
% 0.52/0.86 cnf(83,plain,
% 0.52/0.86 (P5(f1(f1(x831,x832),x833),x834)+~P2(f2(x834,x832),f1(f1(x831,x832),x833))),
% 0.52/0.86 inference(scs_inference,[],[8,5,6,7,65,68,29,13,12,21,42])).
% 0.52/0.86 cnf(105,plain,
% 0.52/0.86 (P5(f2(f2(x1051,x1052),x1053),x1051)),
% 0.52/0.86 inference(scs_inference,[],[7,79,30])).
% 0.52/0.86 cnf(106,plain,
% 0.52/0.86 (~P5(f2(x1061,x1062),x1061)),
% 0.52/0.86 inference(rename_variables,[],[7])).
% 0.52/0.86 cnf(108,plain,
% 0.52/0.86 (~P2(x1081,f1(x1081,x1082))),
% 0.52/0.86 inference(scs_inference,[],[48,2,7,79,30,26])).
% 0.52/0.86 cnf(111,plain,
% 0.52/0.86 (~P3(f1(x1111,x1112),f1(x1111,x1113))),
% 0.52/0.86 inference(scs_inference,[],[48,2,6,7,79,30,26,27])).
% 0.52/0.86 cnf(112,plain,
% 0.52/0.86 (~P3(f1(x1121,x1122),x1121)),
% 0.52/0.86 inference(rename_variables,[],[6])).
% 0.52/0.86 cnf(116,plain,
% 0.52/0.86 (P5(f1(x1161,x1162),x1161)),
% 0.52/0.86 inference(scs_inference,[],[48,2,6,112,7,79,30,26,27,13,12])).
% 0.52/0.86 cnf(118,plain,
% 0.52/0.86 (P3(f2(f1(x1181,x1182),x1183),x1181)),
% 0.52/0.86 inference(scs_inference,[],[48,2,6,112,7,79,30,26,27,13,12,29])).
% 0.52/0.86 cnf(121,plain,
% 0.52/0.86 (~P5(f2(x1211,x1212),f1(x1211,x1213))+~P3(f2(x1211,x1212),f1(x1211,x1213))),
% 0.52/0.86 inference(scs_inference,[],[48,2,6,112,7,106,79,30,26,27,13,12,29,38])).
% 0.52/0.86 cnf(126,plain,
% 0.52/0.86 (P5(f2(x1261,x1262),f2(f1(x1261,x1263),x1264))),
% 0.52/0.86 inference(scs_inference,[],[7,118,30])).
% 0.52/0.86 cnf(127,plain,
% 0.52/0.86 (P3(f2(f1(x1271,x1272),x1273),x1271)),
% 0.52/0.86 inference(rename_variables,[],[118])).
% 0.52/0.86 cnf(129,plain,
% 0.52/0.86 (~P5(f2(f1(x1291,x1292),x1293),x1291)),
% 0.52/0.86 inference(scs_inference,[],[7,118,127,65,30,38])).
% 0.52/0.86 cnf(133,plain,
% 0.52/0.86 (~P3(f1(f1(x1331,x1332),x1333),x1331)),
% 0.52/0.86 inference(scs_inference,[],[3,7,118,127,74,65,30,38,29])).
% 0.52/0.86 cnf(148,plain,
% 0.52/0.86 (P3(x1481,f2(f1(x1481,x1482),x1483))),
% 0.52/0.86 inference(scs_inference,[],[3,118,29])).
% 0.52/0.87 cnf(149,plain,
% 0.52/0.87 (~P3(x1491,x1491)),
% 0.52/0.87 inference(rename_variables,[],[3])).
% 0.52/0.87 cnf(154,plain,
% 0.52/0.87 (~P3(x1541,x1541)),
% 0.52/0.87 inference(rename_variables,[],[3])).
% 0.52/0.87 cnf(167,plain,
% 0.52/0.87 (~P5(f2(x1671,x1672),x1671)),
% 0.52/0.87 inference(rename_variables,[],[7])).
% 0.52/0.87 cnf(172,plain,
% 0.52/0.87 (P3(f2(f2(x1721,x1722),x1723),x1721)+P5(x1724,f2(f1(x1724,x1725),x1726))+~P3(f2(x1727,x1728),f2(f1(x1727,x1729),x17210))+P3(f2(f2(x1727,x1728),x17211),f2(f1(x1727,x1729),x17210))),
% 0.52/0.87 inference(scs_inference,[],[5,48,3,149,154,7,167,116,105,129,133,126,118,77,29,12,36,14,10,15,23,16,35,38,39])).
% 0.52/0.87 cnf(175,plain,
% 0.52/0.87 (~P4(x1751,x1752)),
% 0.52/0.87 inference(scs_inference,[],[4,108,28])).
% 0.52/0.87 cnf(178,plain,
% 0.52/0.87 (~P5(x1781,f2(f1(x1781,x1782),x1783))),
% 0.52/0.87 inference(scs_inference,[],[4,3,108,148,129,28,39])).
% 0.52/0.87 cnf(202,plain,
% 0.52/0.87 (P2(f2(f1(x2021,x2022),x2023),x2021)),
% 0.52/0.87 inference(scs_inference,[],[3,48,7,178,111,108,148,77,26,40,13,172,27])).
% 0.52/0.87 cnf(231,plain,
% 0.52/0.87 (P3(f2(f1(x2311,x2312),x2313),f1(x2311,x2314))),
% 0.52/0.87 inference(scs_inference,[],[108,118,27])).
% 0.52/0.87 cnf(243,plain,
% 0.52/0.87 (~P5(f1(x2431,x2432),f2(x2431,x2433))+~P3(f1(x2431,x2432),f2(x2431,x2433))),
% 0.52/0.87 inference(scs_inference,[],[6,54,48,7,175,178,108,118,79,27,30,15,10,23,35])).
% 0.52/0.87 cnf(248,plain,
% 0.52/0.87 (~P3(f1(x2481,x2482),f1(f1(x2481,x2483),x2484))),
% 0.52/0.87 inference(scs_inference,[],[6,54,48,7,175,111,178,108,133,118,79,27,30,15,10,23,35,16,29])).
% 0.52/0.87 cnf(256,plain,
% 0.52/0.87 (P2(f2(f2(a3,a4),a4),f1(f1(a3,x2561),x2562))),
% 0.52/0.87 inference(scs_inference,[],[74,77,27])).
% 0.52/0.87 cnf(259,plain,
% 0.52/0.87 (P3(f1(x2591,x2592),f2(f1(x2591,x2593),x2594))),
% 0.52/0.87 inference(scs_inference,[],[231,74,77,3,27,29])).
% 0.52/0.87 cnf(266,plain,
% 0.52/0.87 (~P5(f1(x2661,x2662),f2(f1(x2661,x2662),x2663))),
% 0.52/0.87 inference(scs_inference,[],[231,248,74,77,3,27,29,12,83,60])).
% 0.52/0.87 cnf(274,plain,
% 0.52/0.87 (P2(f2(f2(a3,a4),a4),f1(a3,a4))),
% 0.52/0.87 inference(scs_inference,[],[48,7,231,248,126,74,77,118,3,27,29,12,83,60,40,21,26])).
% 0.52/0.87 cnf(277,plain,
% 0.52/0.87 (P3(f2(f2(a3,a4),a4),f1(f1(a3,a4),x2771))),
% 0.52/0.87 inference(scs_inference,[],[48,7,231,248,126,74,77,118,3,27,29,12,83,60,40,21,26,16])).
% 0.52/0.87 cnf(285,plain,
% 0.52/0.87 (~P3(f2(x2851,x2852),f2(f1(x2851,x2853),x2854))),
% 0.52/0.87 inference(scs_inference,[],[7,126,129,40])).
% 0.52/0.87 cnf(290,plain,
% 0.52/0.87 (~P5(f1(x2901,x2902),f2(f1(x2901,x2902),x2903))),
% 0.52/0.87 inference(rename_variables,[],[266])).
% 0.52/0.87 cnf(295,plain,
% 0.52/0.87 (~P3(f1(f1(x2951,x2952),x2953),f1(x2951,x2954))),
% 0.52/0.87 inference(scs_inference,[],[7,48,266,259,248,111,126,133,129,40,37,16,27])).
% 0.52/0.87 cnf(298,plain,
% 0.52/0.87 (P3(f2(f1(x2981,x2982),x2983),f1(f1(x2981,x2984),x2985))),
% 0.52/0.87 inference(scs_inference,[],[7,48,266,259,231,248,111,126,133,129,40,37,16,27,29])).
% 0.52/0.87 cnf(299,plain,
% 0.52/0.87 (P3(f2(f1(x2991,x2992),x2993),f1(x2991,x2994))),
% 0.52/0.87 inference(rename_variables,[],[231])).
% 0.52/0.87 cnf(304,plain,
% 0.52/0.87 (~P3(f1(x3041,x3042),f1(f1(x3041,x3043),x3044))),
% 0.52/0.87 inference(rename_variables,[],[248])).
% 0.52/0.87 cnf(311,plain,
% 0.52/0.87 (P5(f2(f2(a3,a4),a4),f2(f1(a3,a4),x3111))+P4(x3112,f1(a3,a4))),
% 0.52/0.87 inference(scs_inference,[],[7,48,266,290,259,277,274,231,248,304,175,111,108,126,133,129,40,37,16,27,29,121,13,26,36,42])).
% 0.52/0.87 cnf(313,plain,
% 0.52/0.87 (~P5(f1(x3131,x3132),f2(f1(x3131,x3132),x3133))),
% 0.52/0.87 inference(rename_variables,[],[266])).
% 0.52/0.87 cnf(318,plain,
% 0.52/0.87 (~P5(f2(f1(x3181,x3182),x3183),f1(x3181,x3184))),
% 0.52/0.87 inference(scs_inference,[],[7,48,266,290,313,259,277,274,231,299,248,304,175,111,108,126,133,74,129,77,40,37,16,27,29,121,13,26,36,42,35,39])).
% 0.52/0.87 cnf(324,plain,
% 0.52/0.87 (P2(f2(f2(a3,a4),a4),f1(a3,x3241))),
% 0.52/0.87 inference(scs_inference,[],[48,256,16,26])).
% 0.52/0.87 cnf(325,plain,
% 0.52/0.87 (~P2(f1(x3251,x3252),x3251)),
% 0.52/0.87 inference(rename_variables,[],[48])).
% 0.52/0.87 cnf(328,plain,
% 0.52/0.87 (~P4(x3281,x3282)),
% 0.52/0.87 inference(rename_variables,[],[175])).
% 0.52/0.87 cnf(338,plain,
% 0.52/0.87 (P3(f2(f2(a3,a4),a4),f1(a3,a4))),
% 0.52/0.87 inference(scs_inference,[],[48,325,285,298,256,277,175,16,26,311,20,70,36,27])).
% 0.52/0.87 cnf(342,plain,
% 0.52/0.87 (P3(f1(f1(x3421,x3422),x3423),f2(f1(x3421,x3424),x3425))),
% 0.52/0.87 inference(scs_inference,[],[48,325,285,298,256,277,175,3,16,26,311,20,70,36,27,29])).
% 0.52/0.87 cnf(345,plain,
% 0.52/0.87 (P4(x3451,f2(f1(x3452,x3453),x3454))+~P2(f2(f1(x3452,x3453),x3454),f2(x3452,x3455))),
% 0.52/0.87 inference(scs_inference,[],[7,48,325,285,298,256,277,175,328,129,3,16,26,311,20,70,36,27,29,42])).
% 0.52/0.87 cnf(361,plain,
% 0.52/0.87 (~P2(f2(f1(x3611,x3612),x3613),f2(x3611,x3614))),
% 0.52/0.87 inference(scs_inference,[],[175,345])).
% 0.52/0.87 cnf(367,plain,
% 0.52/0.87 (~P2(f2(x3671,x3672),f2(f1(x3671,x3673),x3674))),
% 0.52/0.87 inference(scs_inference,[],[342,285,175,345,243,16])).
% 0.52/0.87 cnf(369,plain,
% 0.52/0.87 (P3(f2(x3691,x3692),f1(x3691,x3693))),
% 0.52/0.87 inference(scs_inference,[],[65,342,285,175,79,345,243,16,29])).
% 0.52/0.87 cnf(407,plain,
% 0.52/0.87 (P2(x4071,f2(x4071,x4072))),
% 0.52/0.87 inference(scs_inference,[],[369,361,338,318,202,121,30,26])).
% 0.52/0.87 cnf(410,plain,
% 0.52/0.87 (P3(f2(f2(a3,a4),a4),f1(a3,x4101))),
% 0.52/0.87 inference(scs_inference,[],[369,361,338,324,318,202,121,30,26,16])).
% 0.52/0.87 cnf(412,plain,
% 0.52/0.87 (~P3(f2(x4121,x4122),f2(x4121,x4123))),
% 0.52/0.87 inference(scs_inference,[],[369,361,367,338,324,318,202,285,121,30,26,16,27])).
% 0.52/0.87 cnf(435,plain,
% 0.52/0.87 (~P2(f2(x4351,x4352),f2(x4351,x4353))),
% 0.52/0.87 inference(scs_inference,[],[412,16])).
% 0.52/0.87 cnf(450,plain,
% 0.52/0.87 (~P2(f2(x4501,x4502),f1(f2(x4501,x4503),x4504))),
% 0.52/0.87 inference(scs_inference,[],[435,48,26])).
% 0.52/0.87 cnf(453,plain,
% 0.52/0.87 (P3(x4531,f2(x4531,x4532))),
% 0.52/0.87 inference(scs_inference,[],[407,435,48,26,16])).
% 0.52/0.87 cnf(466,plain,
% 0.52/0.87 (~P3(f1(a3,a4),f2(a3,a4))),
% 0.52/0.87 inference(scs_inference,[],[77,407,435,295,410,324,48,26,16,27,20,70,36,243])).
% 0.52/0.87 cnf(479,plain,
% 0.52/0.87 ($false),
% 0.52/0.87 inference(scs_inference,[],[453,450,466,361,407,26,16,27]),
% 0.52/0.87 ['proof']).
% 0.52/0.87 % SZS output end Proof
% 0.52/0.87 % Total time :0.230000s
%------------------------------------------------------------------------------