TSTP Solution File: GEO226+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO226+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 : n017.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 22:43:52 EDT 2023
% Result : Theorem 0.91s 1.01s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO226+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n017.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 20:34:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.91/1.00 %-------------------------------------------
% 0.91/1.00 % File :CSE---1.6
% 0.91/1.00 % Problem :theBenchmark
% 0.91/1.00 % Transform :cnf
% 0.91/1.00 % Format :tptp:raw
% 0.91/1.00 % Command :java -jar mcs_scs.jar %d %s
% 0.91/1.00
% 0.91/1.00 % Result :Theorem 0.390000s
% 0.91/1.00 % Output :CNFRefutation 0.390000s
% 0.91/1.00 %-------------------------------------------
% 0.91/1.01 %------------------------------------------------------------------------------
% 0.91/1.01 % File : GEO226+3 : TPTP v8.1.2. Released v4.0.0.
% 0.91/1.01 % Domain : Geometry (Constructive)
% 0.91/1.01 % Problem : Existence of point incident to line
% 0.91/1.01 % Version : [vPl95] axioms.
% 0.91/1.01 % English : Assume orthogonal geometry. Given a point and a line, to find
% 0.91/1.01 % a point incident with the line.
% 0.91/1.01
% 0.91/1.01 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.91/1.01 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.91/1.01 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.91/1.01 % Source : [Rat07]
% 0.91/1.01 % Names :
% 0.91/1.01
% 0.91/1.01 % Status : Theorem
% 0.91/1.01 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.16 v4.0.0
% 0.91/1.01 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.91/1.01 % Number of atoms : 99 ( 0 equ)
% 0.91/1.01 % Maximal formula atoms : 6 ( 2 avg)
% 0.91/1.01 % Number of connectives : 91 ( 28 ~; 19 |; 16 &)
% 0.91/1.01 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 0.91/1.01 % Maximal formula depth : 9 ( 5 avg)
% 0.91/1.01 % Maximal term depth : 2 ( 1 avg)
% 0.91/1.01 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.91/1.01 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.91/1.01 % Number of variables : 84 ( 83 !; 1 ?)
% 0.91/1.01 % SPC : FOF_THM_RFO_NEQ
% 0.91/1.01
% 0.91/1.01 % Comments :
% 0.91/1.01 %------------------------------------------------------------------------------
% 0.91/1.01 include('Axioms/GEO006+0.ax').
% 0.91/1.01 include('Axioms/GEO006+1.ax').
% 0.91/1.01 include('Axioms/GEO006+2.ax').
% 0.91/1.01 include('Axioms/GEO006+3.ax').
% 0.91/1.01 include('Axioms/GEO006+4.ax').
% 0.91/1.01 include('Axioms/GEO006+5.ax').
% 0.91/1.01 include('Axioms/GEO006+6.ax').
% 0.91/1.01 %------------------------------------------------------------------------------
% 0.91/1.01 fof(con,conjecture,
% 0.91/1.01 ! [L,M] :
% 0.91/1.01 ( ( line(L)
% 0.91/1.01 & line(M)
% 0.91/1.01 & convergent_lines(L,M) )
% 0.91/1.01 => ? [X] :
% 0.91/1.01 ( point(X)
% 0.91/1.01 => ( incident_point_and_line(X,L)
% 0.91/1.01 & incident_point_and_line(X,M) ) ) ) ).
% 0.91/1.01
% 0.91/1.01 %------------------------------------------------------------------------------
% 0.91/1.01 %-------------------------------------------
% 0.91/1.01 % Proof found
% 0.91/1.01 % SZS status Theorem for theBenchmark
% 0.91/1.01 % SZS output start Proof
% 0.91/1.01 %ClaNum:49(EqnAxiom:0)
% 0.91/1.01 %VarNum:210(SingletonVarNum:97)
% 0.91/1.01 %MaxLitNum:6
% 0.91/1.01 %MaxfuncDepth:1
% 0.91/1.01 %SharedTerms:5
% 0.91/1.01 %goalClause: 1 2 3 19 20 21 34
% 0.91/1.01 %singleGoalClaCount:3
% 0.91/1.01 [1]P1(a1)
% 0.91/1.01 [2]P1(a2)
% 0.91/1.01 [3]P2(a1,a2)
% 0.91/1.01 [4]~P4(x41,x41)
% 0.91/1.01 [5]~P5(x51,x51)
% 0.91/1.01 [6]~P2(x61,x61)
% 0.91/1.01 [7]~P3(x71,f3(x72,x71))
% 0.91/1.01 [8]~P3(x81,f4(x82,x81))
% 0.91/1.01 [9]~P2(f3(x91,x92),x91)
% 0.91/1.01 [10]~P9(f4(x101,x102),x101)
% 0.91/1.01 [21]~P8(x211,a2)+~P8(x211,a1)
% 0.91/1.01 [11]P6(x111,x112)+P4(x111,x112)
% 0.91/1.01 [12]P7(x121,x122)+P5(x121,x122)
% 0.91/1.01 [14]P9(x141,x142)+P2(x141,x142)
% 0.91/1.01 [15]P10(x151,x152)+P2(x151,x152)
% 0.91/1.01 [16]P8(x161,x162)+P3(x161,x162)
% 0.91/1.01 [17]P11(x171,x172)+P9(x171,x172)
% 0.91/1.01 [18]~P5(x181,x182)+P2(x181,x182)
% 0.91/1.01 [22]~P6(x221,x222)+~P4(x221,x222)
% 0.91/1.01 [23]~P7(x231,x232)+~P5(x231,x232)
% 0.91/1.01 [24]~P10(x241,x242)+~P2(x241,x242)
% 0.91/1.01 [25]~P8(x251,x252)+~P3(x251,x252)
% 0.91/1.01 [26]~P11(x261,x262)+~P9(x261,x262)
% 0.91/1.01 [19]~P1(x191)+P1(f3(x191,x192))
% 0.91/1.01 [20]~P1(x201)+P1(f4(x201,x202))
% 0.91/1.01 [34]~P4(x341,x342)+P1(f5(x341,x342))
% 0.91/1.01 [45]~P4(x451,x452)+~P3(x452,f5(x451,x452))
% 0.91/1.01 [46]~P4(x461,x462)+~P3(x461,f5(x461,x462))
% 0.91/1.01 [47]~P2(x471,x472)+~P3(f6(x471,x472),x472)
% 0.91/1.01 [48]~P2(x481,x482)+~P3(f6(x481,x482),x481)
% 0.91/1.01 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 0.91/1.01 [28]~P3(x281,x283)+P4(x281,x282)+P3(x282,x283)
% 0.91/1.01 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 0.91/1.01 [30]~P2(x303,x301)+P5(x301,x302)+P2(x303,x302)
% 0.91/1.01 [31]~P3(x313,x311)+P5(x311,x312)+P3(x313,x312)
% 0.91/1.01 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 0.91/1.01 [33]~P2(x333,x332)+P9(x331,x332)+P9(x331,x333)
% 0.91/1.01 [37]~P2(x371,x373)+~P9(x371,x373)+P2(x371,x372)+P9(x373,x372)
% 0.91/1.01 [38]~P2(x382,x383)+~P9(x382,x383)+P2(x381,x382)+P2(x381,x383)
% 0.91/1.01 [39]~P2(x392,x393)+~P9(x392,x393)+P2(x391,x392)+P9(x391,x393)
% 0.91/1.01 [40]~P2(x403,x401)+~P9(x403,x401)+P2(x401,x402)+P9(x403,x402)
% 0.91/1.01 [41]~P2(x413,x412)+~P9(x413,x412)+P2(x411,x412)+P9(x411,x413)
% 0.91/1.01 [42]~P2(x421,x423)+~P9(x421,x423)+P9(x421,x422)+P9(x423,x422)
% 0.91/1.01 [44]P9(x443,x444)+~P5(x443,x442)+P3(x441,x442)+P3(x441,x443)+P9(x442,x444)
% 0.91/1.01 [49]P3(x494,x493)+~P4(x494,x491)+~P5(x493,x492)+P3(x491,x492)+P3(x491,x493)+P3(x494,x492)
% 0.91/1.01 %EqnAxiom
% 0.91/1.01
% 0.91/1.01 %-------------------------------------------
% 0.91/1.01 cnf(51,plain,
% 0.91/1.01 (~P5(f3(x511,x512),x511)),
% 0.91/1.01 inference(scs_inference,[],[3,9,24,18])).
% 0.91/1.01 cnf(58,plain,
% 0.91/1.01 (P9(x581,x581)),
% 0.91/1.01 inference(scs_inference,[],[6,3,7,9,10,24,18,17,16,15,14])).
% 0.91/1.01 cnf(65,plain,
% 0.91/1.01 (~P9(f4(x651,x652),x651)),
% 0.91/1.01 inference(rename_variables,[],[10])).
% 0.91/1.01 cnf(67,plain,
% 0.91/1.01 (P2(a2,a1)),
% 0.91/1.01 inference(scs_inference,[],[4,5,6,3,7,9,10,24,18,17,16,15,14,12,11,33,32])).
% 0.91/1.01 cnf(68,plain,
% 0.91/1.01 (~P2(x681,x681)),
% 0.91/1.01 inference(rename_variables,[],[6])).
% 0.91/1.01 cnf(70,plain,
% 0.91/1.01 (P5(a2,a1)),
% 0.91/1.01 inference(scs_inference,[],[4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30])).
% 0.91/1.01 cnf(71,plain,
% 0.91/1.01 (~P2(x711,x711)),
% 0.91/1.01 inference(rename_variables,[],[6])).
% 0.91/1.01 cnf(73,plain,
% 0.91/1.01 (P5(a1,a2)),
% 0.91/1.01 inference(scs_inference,[],[4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30,29])).
% 0.91/1.01 cnf(75,plain,
% 0.91/1.01 (P1(f4(a1,x751))),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30,29,20])).
% 0.91/1.01 cnf(77,plain,
% 0.91/1.01 (P1(f3(a1,x771))),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30,29,20,19])).
% 0.91/1.01 cnf(79,plain,
% 0.91/1.01 (~P3(f6(a1,a2),a1)),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30,29,20,19,48])).
% 0.91/1.01 cnf(81,plain,
% 0.91/1.01 (~P3(f6(a1,a2),a2)),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,3,7,9,10,24,18,17,16,15,14,12,11,33,32,30,29,20,19,48,47])).
% 0.91/1.01 cnf(91,plain,
% 0.91/1.01 (~P9(a1,a2)+P9(a2,x911)+P9(a1,x911)),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,3,7,9,10,65,24,18,17,16,15,14,12,11,33,32,30,29,20,19,48,47,41,26,23,31,42])).
% 0.91/1.01 cnf(97,plain,
% 0.91/1.01 (P2(x971,a2)+~P9(a1,a2)+~P9(a2,a1)+P2(x971,f4(a1,x972))),
% 0.91/1.01 inference(scs_inference,[],[1,4,5,6,68,71,3,7,9,10,65,24,18,17,16,15,14,12,11,33,32,30,29,20,19,48,47,41,26,23,31,42,40,39,38])).
% 0.91/1.01 cnf(103,plain,
% 0.91/1.01 (P2(f4(x1031,x1032),x1031)),
% 0.91/1.01 inference(scs_inference,[],[10,14])).
% 0.91/1.01 cnf(108,plain,
% 0.91/1.01 (~P2(f3(x1081,x1082),f3(x1081,x1083))),
% 0.91/1.01 inference(scs_inference,[],[9,10,3,51,14,33,30])).
% 0.91/1.01 cnf(109,plain,
% 0.91/1.01 (~P5(f3(x1091,x1092),x1091)),
% 0.91/1.01 inference(rename_variables,[],[51])).
% 0.91/1.02 cnf(111,plain,
% 0.91/1.02 (~P5(x1111,f3(x1111,x1112))),
% 0.91/1.02 inference(scs_inference,[],[9,10,5,3,51,109,14,33,30,29])).
% 0.91/1.02 cnf(134,plain,
% 0.91/1.02 (P2(f4(f3(x1341,x1342),x1343),x1341)),
% 0.91/1.02 inference(scs_inference,[],[9,103,32])).
% 0.91/1.02 cnf(135,plain,
% 0.91/1.02 (P2(f4(x1351,x1352),x1351)),
% 0.91/1.02 inference(rename_variables,[],[103])).
% 0.91/1.02 cnf(137,plain,
% 0.91/1.02 (P5(x1371,f4(x1371,x1372))),
% 0.91/1.02 inference(scs_inference,[],[9,6,103,135,32,30])).
% 0.91/1.02 cnf(143,plain,
% 0.91/1.02 (~P2(f3(x1431,x1432),x1431)),
% 0.91/1.02 inference(rename_variables,[],[9])).
% 0.91/1.02 cnf(145,plain,
% 0.91/1.02 (P5(f4(x1451,x1452),x1451)),
% 0.91/1.02 inference(scs_inference,[],[5,9,6,3,103,135,32,30,14,41,29])).
% 0.91/1.02 cnf(147,plain,
% 0.91/1.02 (P2(x1471,f4(x1471,x1472))),
% 0.91/1.02 inference(scs_inference,[],[5,9,6,3,103,135,32,30,14,41,29,18])).
% 0.91/1.02 cnf(150,plain,
% 0.91/1.02 (~P2(f3(x1501,x1502),x1501)),
% 0.91/1.02 inference(rename_variables,[],[9])).
% 0.91/1.02 cnf(153,plain,
% 0.91/1.02 (~P9(f4(x1531,x1532),x1531)),
% 0.91/1.02 inference(rename_variables,[],[10])).
% 0.91/1.02 cnf(155,plain,
% 0.91/1.02 (P9(f4(f4(x1551,x1552),x1553),x1551)+P3(x1553,f4(x1551,x1552))),
% 0.91/1.02 inference(scs_inference,[],[8,5,9,143,150,6,10,153,3,103,135,32,30,14,41,29,18,97,40,44])).
% 0.91/1.02 cnf(163,plain,
% 0.91/1.02 (P9(f4(f4(x1631,x1632),x1632),x1631)),
% 0.91/1.02 inference(scs_inference,[],[8,155])).
% 0.91/1.02 cnf(165,plain,
% 0.91/1.02 (~P9(x1651,f4(x1651,x1652))),
% 0.91/1.02 inference(scs_inference,[],[8,6,10,147,155,41])).
% 0.91/1.02 cnf(167,plain,
% 0.91/1.02 (~P2(x1671,x1671)),
% 0.91/1.02 inference(rename_variables,[],[6])).
% 0.91/1.02 cnf(169,plain,
% 0.91/1.02 (P2(x1691,f4(f3(x1691,x1692),x1693))),
% 0.91/1.02 inference(scs_inference,[],[8,6,167,10,147,134,155,41,32])).
% 0.91/1.02 cnf(170,plain,
% 0.91/1.02 (~P2(x1701,x1701)),
% 0.91/1.02 inference(rename_variables,[],[6])).
% 0.91/1.02 cnf(172,plain,
% 0.91/1.02 (~P5(f3(x1721,x1722),f3(x1721,x1723))),
% 0.91/1.02 inference(scs_inference,[],[8,6,167,10,147,134,108,155,41,32,18])).
% 0.91/1.02 cnf(180,plain,
% 0.91/1.02 (~P2(x1801,f3(x1801,x1802))),
% 0.91/1.02 inference(scs_inference,[],[8,6,167,170,10,145,147,134,108,81,51,155,41,32,18,91,44,30])).
% 0.91/1.02 cnf(194,plain,
% 0.91/1.02 (~P5(f3(f3(x1941,x1942),x1943),x1941)),
% 0.91/1.02 inference(scs_inference,[],[51,111,29])).
% 0.91/1.02 cnf(195,plain,
% 0.91/1.02 (~P5(f3(x1951,x1952),x1951)),
% 0.91/1.02 inference(rename_variables,[],[51])).
% 0.91/1.02 cnf(197,plain,
% 0.91/1.02 (~P2(x1971,f4(f4(x1971,x1972),x1973))),
% 0.91/1.02 inference(scs_inference,[],[51,10,165,111,29,33])).
% 0.91/1.02 cnf(198,plain,
% 0.91/1.02 (~P9(x1981,f4(x1981,x1982))),
% 0.91/1.02 inference(rename_variables,[],[165])).
% 0.91/1.02 cnf(200,plain,
% 0.91/1.02 (~P2(f4(f4(x2001,x2002),x2002),x2001)),
% 0.91/1.02 inference(scs_inference,[],[51,6,10,163,165,111,29,33,38])).
% 0.91/1.02 cnf(204,plain,
% 0.91/1.02 (~P2(x2041,f3(x2041,x2042))),
% 0.91/1.02 inference(rename_variables,[],[180])).
% 0.91/1.02 cnf(211,plain,
% 0.91/1.02 (~P9(x2111,f4(x2111,x2112))),
% 0.91/1.02 inference(rename_variables,[],[165])).
% 0.91/1.02 cnf(223,plain,
% 0.91/1.02 (~P3(f6(a2,a1),a2)),
% 0.91/1.02 inference(scs_inference,[],[3,51,195,8,6,9,10,163,165,198,180,204,67,75,137,111,29,33,38,30,14,16,91,15,12,23,20,19,48])).
% 0.91/1.02 cnf(225,plain,
% 0.91/1.02 (~P3(f6(a2,a1),a1)),
% 0.91/1.02 inference(scs_inference,[],[3,51,195,8,6,9,10,163,165,198,180,204,67,75,137,111,29,33,38,30,14,16,91,15,12,23,20,19,48,47])).
% 0.91/1.02 cnf(235,plain,
% 0.91/1.02 (P2(a2,f3(a1,x2351))),
% 0.91/1.02 inference(scs_inference,[],[3,51,195,8,6,9,10,163,165,198,211,180,204,169,67,75,137,111,29,33,38,30,14,16,91,15,12,23,20,19,48,47,24,17,26,31,18])).
% 0.91/1.02 cnf(249,plain,
% 0.91/1.02 (P5(f4(f3(x2491,x2492),x2493),x2491)),
% 0.91/1.02 inference(scs_inference,[],[3,51,197,137,32,29])).
% 0.91/1.02 cnf(252,plain,
% 0.91/1.02 (~P9(f4(f3(x2521,x2522),x2523),x2521)),
% 0.91/1.02 inference(scs_inference,[],[3,51,9,197,165,134,137,32,29,41])).
% 0.91/1.02 cnf(258,plain,
% 0.91/1.02 (~P5(f4(f4(x2581,x2582),x2582),x2581)),
% 0.91/1.02 inference(scs_inference,[],[3,51,9,200,197,165,134,137,32,29,41,33,18])).
% 0.91/1.02 cnf(266,plain,
% 0.91/1.02 (P9(f4(f4(x2661,x2662),x2663),x2661)),
% 0.91/1.02 inference(scs_inference,[],[10,147,33])).
% 0.91/1.02 cnf(267,plain,
% 0.91/1.02 (~P9(f4(x2671,x2672),x2671)),
% 0.91/1.02 inference(rename_variables,[],[10])).
% 0.91/1.02 cnf(269,plain,
% 0.91/1.02 (~P9(x2691,f4(f3(x2691,x2692),x2693))),
% 0.91/1.02 inference(scs_inference,[],[10,267,147,180,169,33,37])).
% 0.91/1.02 cnf(271,plain,
% 0.91/1.02 (~P9(f4(x2711,x2712),x2711)),
% 0.91/1.02 inference(rename_variables,[],[10])).
% 0.91/1.02 cnf(273,plain,
% 0.91/1.02 (~P9(f4(x2731,x2732),f4(f3(x2731,x2733),x2734))+~P2(f4(x2731,x2732),f4(f3(x2731,x2733),x2734))),
% 0.91/1.02 inference(scs_inference,[],[10,267,271,252,147,180,169,33,37,42])).
% 0.91/1.02 cnf(276,plain,
% 0.91/1.02 (~P3(x2761,f3(x2762,x2763))),
% 0.91/1.02 inference(scs_inference,[],[7,10,267,271,172,252,147,180,169,33,37,42,31])).
% 0.91/1.02 cnf(282,plain,
% 0.91/1.02 (~P4(f6(a1,a2),f6(a2,a1))),
% 0.91/1.02 inference(scs_inference,[],[225,223,79,73,81,49])).
% 0.91/1.02 cnf(286,plain,
% 0.91/1.02 (P2(a2,f3(f3(a1,x2861),x2862))),
% 0.91/1.02 inference(scs_inference,[],[225,223,79,235,73,81,180,49,11,32])).
% 0.91/1.02 cnf(287,plain,
% 0.91/1.02 (~P2(x2871,f3(x2871,x2872))),
% 0.91/1.02 inference(rename_variables,[],[180])).
% 0.91/1.02 cnf(290,plain,
% 0.91/1.02 (~P9(x2901,f4(f3(x2901,x2902),x2903))),
% 0.91/1.02 inference(rename_variables,[],[269])).
% 0.91/1.02 cnf(292,plain,
% 0.91/1.02 (P9(a2,f4(f3(a1,x2921),x2922))),
% 0.91/1.02 inference(scs_inference,[],[269,290,225,223,79,235,73,81,180,49,11,32,42,44])).
% 0.91/1.02 cnf(300,plain,
% 0.91/1.02 (~P5(x3001,f4(f4(x3001,x3002),x3003))),
% 0.91/1.02 inference(scs_inference,[],[8,266,269,290,225,223,79,235,73,197,81,180,287,49,11,32,42,44,28,40,18])).
% 0.91/1.02 cnf(316,plain,
% 0.91/1.02 (~P4(f6(a2,a1),f6(a1,a2))),
% 0.91/1.02 inference(scs_inference,[],[282,4,27])).
% 0.91/1.02 cnf(319,plain,
% 0.91/1.02 (P2(f3(f3(a1,x3191),x3192),a2)),
% 0.91/1.02 inference(scs_inference,[],[6,282,286,4,27,32])).
% 0.91/1.02 cnf(338,plain,
% 0.91/1.02 (~P3(f6(f4(x3381,x3382),x3381),x3381)),
% 0.91/1.02 inference(scs_inference,[],[6,258,276,282,77,286,292,249,200,103,4,27,32,23,20,19,16,26,15,12,48,47])).
% 0.91/1.02 cnf(347,plain,
% 0.91/1.02 (~P2(f3(x3471,x3472),f4(f4(x3471,x3473),x3473))),
% 0.91/1.02 inference(scs_inference,[],[9,6,258,276,282,77,286,292,249,269,200,103,4,67,27,32,23,20,19,16,26,15,12,48,47,24,17,40,30])).
% 0.91/1.02 cnf(375,plain,
% 0.91/1.02 (~P9(f4(x3751,x3752),x3751)),
% 0.91/1.02 inference(rename_variables,[],[10])).
% 0.91/1.02 cnf(376,plain,
% 0.91/1.02 (~P3(x3761,f4(x3762,x3761))),
% 0.91/1.02 inference(rename_variables,[],[8])).
% 0.91/1.02 cnf(381,plain,
% 0.91/1.02 (~P2(f4(x3811,x3812),f4(f3(x3811,x3813),x3814))),
% 0.91/1.02 inference(scs_inference,[],[8,6,10,375,319,79,134,165,30,44,33,273])).
% 0.91/1.02 cnf(386,plain,
% 0.91/1.02 (~P3(f6(a2,a1),f4(x3861,f6(a1,a2)))),
% 0.91/1.02 inference(scs_inference,[],[8,376,6,10,375,338,316,319,70,79,134,81,165,30,44,33,273,49,28])).
% 0.91/1.02 cnf(389,plain,
% 0.91/1.02 (~P5(x3891,f3(f3(x3891,x3892),x3893))),
% 0.91/1.02 inference(scs_inference,[],[5,8,376,6,10,375,338,194,316,319,70,79,134,81,165,30,44,33,273,49,28,29])).
% 0.91/1.02 cnf(412,plain,
% 0.91/1.02 (P5(f4(f3(x4121,x4122),x4123),f3(x4121,x4124))),
% 0.91/1.02 inference(scs_inference,[],[172,137,29])).
% 0.91/1.02 cnf(420,plain,
% 0.91/1.02 (P2(f3(a1,x4201),a2)),
% 0.91/1.02 inference(scs_inference,[],[6,300,172,137,235,3,29,18,30,32])).
% 0.91/1.02 cnf(435,plain,
% 0.91/1.02 (P5(a1,f3(f3(a2,x4351),x4352))),
% 0.91/1.02 inference(scs_inference,[],[389,73,29])).
% 0.91/1.02 cnf(436,plain,
% 0.91/1.02 (~P5(x4361,f3(f3(x4361,x4362),x4363))),
% 0.91/1.02 inference(rename_variables,[],[389])).
% 0.91/1.02 cnf(438,plain,
% 0.91/1.02 (~P5(f4(x4381,x4382),f4(f3(x4381,x4383),x4384))),
% 0.91/1.02 inference(scs_inference,[],[389,381,73,29,18])).
% 0.91/1.02 cnf(440,plain,
% 0.91/1.02 (~P2(f3(f3(x4401,x4402),x4403),x4401)),
% 0.91/1.02 inference(scs_inference,[],[6,389,436,381,73,29,18,30])).
% 0.91/1.02 cnf(458,plain,
% 0.91/1.02 (~P3(x4581,f4(x4582,x4583))),
% 0.91/1.02 inference(scs_inference,[],[8,438,31])).
% 0.91/1.02 cnf(483,plain,
% 0.91/1.02 (~P3(f6(x4831,f4(x4831,x4832)),x4831)),
% 0.91/1.02 inference(scs_inference,[],[8,58,51,9,440,412,438,386,435,420,2,194,347,147,31,29,32,18,30,20,19,26,23,16,48])).
% 0.91/1.02 cnf(617,plain,
% 0.91/1.02 (~P8(f6(a1,f4(a1,x6171)),a2)),
% 0.91/1.02 inference(scs_inference,[],[483,21,16])).
% 0.91/1.02 cnf(674,plain,
% 0.91/1.02 ($false),
% 0.91/1.02 inference(scs_inference,[],[617,300,458,16,31]),
% 0.91/1.02 ['proof']).
% 0.91/1.02 % SZS output end Proof
% 0.91/1.02 % Total time :0.390000s
%------------------------------------------------------------------------------