%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO223+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Mon Jun 24 06:04:43 EDT 2024
% Result : Theorem 25.51s 25.57s
% Output : CNFRefutation 25.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO223+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 10:41:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.48/0.60 start to proof:theBenchmark
% 25.51/25.56 %-------------------------------------------
% 25.51/25.56 % File :CSE---1.7
% 25.51/25.56 % Problem :theBenchmark
% 25.51/25.56 % Transform :cnf
% 25.51/25.56 % Format :tptp:raw
% 25.51/25.56 % Command :java -jar mcs_scs.jar %d %s
% 25.51/25.56
% 25.51/25.56 % Result :Theorem 24.910000s
% 25.51/25.56 % Output :CNFRefutation 24.910000s
% 25.51/25.56 %-------------------------------------------
% 25.51/25.57 %------------------------------------------------------------------------------
% 25.51/25.57 % File : GEO223+3 : TPTP v8.2.0. Released v4.0.0.
% 25.51/25.57 % Domain : Geometry (Constructive)
% 25.51/25.57 % Problem : Corollary to uniqueness of parallels
% 25.51/25.57 % Version : [vPl95] axioms.
% 25.51/25.57 % English : The parallel to line L through a point A is equal to the line,
% 25.51/25.57 % that is orthogonal to the orthogonal to L through A, and goes
% 25.51/25.57 % through A as well.
% 25.51/25.57
% 25.51/25.57 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 25.51/25.57 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 25.51/25.57 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 25.51/25.57 % Source : [Rat07]
% 25.51/25.57 % Names : Corollary 8.10 [vPl95]
% 25.51/25.57
% 25.51/25.57 % Status : Theorem
% 25.51/25.57 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 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
% 25.51/25.57 % Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% 25.51/25.57 % Number of atoms : 94 ( 0 equ)
% 25.51/25.57 % Maximal formula atoms : 6 ( 2 avg)
% 25.51/25.57 % Number of connectives : 86 ( 28 ~; 19 |; 13 &)
% 25.51/25.57 % ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% 25.51/25.57 % Maximal formula depth : 9 ( 5 avg)
% 25.51/25.57 % Maximal term depth : 3 ( 1 avg)
% 25.51/25.57 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 25.51/25.57 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 25.51/25.57 % Number of variables : 83 ( 83 !; 0 ?)
% 25.51/25.57 % SPC : FOF_THM_RFO_NEQ
% 25.51/25.57
% 25.51/25.57 % Comments :
% 25.51/25.57 %------------------------------------------------------------------------------
% 25.51/25.57 include('Axioms/GEO006+0.ax').
% 25.51/25.57 include('Axioms/GEO006+1.ax').
% 25.51/25.57 include('Axioms/GEO006+2.ax').
% 25.51/25.57 include('Axioms/GEO006+3.ax').
% 25.51/25.57 include('Axioms/GEO006+4.ax').
% 25.51/25.57 include('Axioms/GEO006+5.ax').
% 25.51/25.57 include('Axioms/GEO006+6.ax').
% 25.51/25.57 %------------------------------------------------------------------------------
% 25.51/25.57 fof(con,conjecture,
% 25.51/25.57 ! [A,L] : equal_lines(parallel_through_point(L,A),orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 25.51/25.57
% 25.51/25.57 %------------------------------------------------------------------------------
% 25.51/25.57 %-------------------------------------------
% 25.51/25.57 % Proof found
% 25.51/25.57 % SZS status Theorem for theBenchmark
% 25.51/25.57 % SZS output start Proof
% 25.51/25.57 %ClaNum:47(EqnAxiom:0)
% 25.51/25.58 %VarNum:218(SingletonVarNum:98)
% 25.51/25.58 %MaxLitNum:6
% 25.51/25.58 %MaxfuncDepth:2
% 25.51/25.58 %SharedTerms:6
% 25.51/25.58 %goalClause: 8
% 25.51/25.58 %singleGoalClaCount:1
% 25.51/25.58 [8]~P6(f1(a3,a4),f2(f2(a3,a4),a4))
% 25.51/25.58 [1]~P1(x11,x11)
% 25.51/25.58 [2]~P2(x21,x21)
% 25.51/25.58 [3]~P3(x31,x31)
% 25.51/25.58 [4]~P4(x41,f1(x42,x41))
% 25.51/25.58 [5]~P4(x51,f2(x52,x51))
% 25.51/25.58 [6]~P3(f1(x61,x62),x61)
% 25.51/25.58 [7]~P5(f2(x71,x72),x71)
% 25.51/25.58 [9]P7(x91,x92)+P1(x91,x92)
% 25.51/25.58 [10]P6(x101,x102)+P2(x101,x102)
% 25.51/25.58 [12]P5(x121,x122)+P3(x121,x122)
% 25.51/25.58 [13]P8(x131,x132)+P3(x131,x132)
% 25.51/25.58 [14]P9(x141,x142)+P4(x141,x142)
% 25.51/25.58 [15]P10(x151,x152)+P5(x151,x152)
% 25.51/25.58 [16]~P2(x161,x162)+P3(x161,x162)
% 25.51/25.58 [19]~P7(x191,x192)+~P1(x191,x192)
% 25.51/25.58 [20]~P6(x201,x202)+~P2(x201,x202)
% 25.51/25.58 [21]~P8(x211,x212)+~P3(x211,x212)
% 25.51/25.58 [22]~P9(x221,x222)+~P4(x221,x222)
% 25.51/25.58 [23]~P10(x231,x232)+~P5(x231,x232)
% 25.51/25.58 [43]~P1(x431,x432)+~P4(x432,f6(x431,x432))
% 25.51/25.58 [44]~P1(x441,x442)+~P4(x441,f6(x441,x442))
% 25.51/25.58 [45]~P3(x451,x452)+~P4(f5(x451,x452),x452)
% 25.51/25.58 [46]~P3(x461,x462)+~P4(f5(x461,x462),x461)
% 25.51/25.58 [17]~P12(x172)+~P11(x171)+P11(f1(x171,x172))
% 25.51/25.58 [18]~P12(x182)+~P11(x181)+P11(f2(x181,x182))
% 25.51/25.58 [24]~P1(x243,x241)+P1(x241,x242)+P1(x243,x242)
% 25.51/25.58 [25]~P4(x251,x253)+P1(x251,x252)+P4(x252,x253)
% 25.51/25.58 [26]~P2(x263,x261)+P2(x261,x262)+P2(x263,x262)
% 25.51/25.58 [27]~P3(x273,x271)+P2(x271,x272)+P3(x273,x272)
% 25.51/25.58 [28]~P4(x283,x281)+P2(x281,x282)+P4(x283,x282)
% 25.51/25.58 [29]~P3(x293,x291)+P3(x291,x292)+P3(x293,x292)
% 25.51/25.58 [30]~P3(x303,x302)+P5(x301,x302)+P5(x301,x303)
% 25.51/25.58 [32]~P11(x322)+~P11(x321)+~P3(x321,x322)+P12(f5(x321,x322))
% 25.51/25.58 [33]~P12(x332)+~P12(x331)+~P1(x331,x332)+P11(f6(x331,x332))
% 25.51/25.58 [35]~P3(x351,x353)+~P5(x351,x353)+P3(x351,x352)+P5(x353,x352)
% 25.51/25.58 [36]~P3(x362,x363)+~P5(x362,x363)+P3(x361,x362)+P3(x361,x363)
% 25.51/25.58 [37]~P3(x372,x373)+~P5(x372,x373)+P3(x371,x372)+P5(x371,x373)
% 25.51/25.58 [38]~P3(x383,x381)+~P5(x383,x381)+P3(x381,x382)+P5(x383,x382)
% 25.51/25.58 [39]~P3(x393,x392)+~P5(x393,x392)+P3(x391,x392)+P5(x391,x393)
% 25.51/25.58 [40]~P3(x401,x403)+~P5(x401,x403)+P5(x401,x402)+P5(x403,x402)
% 25.51/25.58 [42]P5(x423,x424)+~P2(x423,x422)+P4(x421,x422)+P4(x421,x423)+P5(x422,x424)
% 25.51/25.58 [47]P4(x474,x473)+~P1(x474,x471)+~P2(x473,x472)+P4(x471,x472)+P4(x471,x473)+P4(x474,x472)
% 25.51/25.58 %EqnAxiom
% 25.51/25.58
% 25.51/25.58 %-------------------------------------------
% 25.57/25.59 cnf(50,plain,
% 25.57/25.59 (~P2(f1(x501,x502),x501)),
% 25.57/25.59 inference(scs_inference,[],[2,6,10,16])).
% 25.57/25.59 cnf(64,plain,
% 25.57/25.59 (P5(f1(x641,x642),x643)+~P2(f1(x641,x642),f2(x643,x642))),
% 25.57/25.59 inference(scs_inference,[],[2,3,4,5,6,7,1,10,16,9,12,13,14,15,23,42])).
% 25.57/25.59 cnf(83,plain,
% 25.57/25.59 (~P2(x831,f1(x831,x832))),
% 25.57/25.59 inference(scs_inference,[],[50,5,6,3,12,10,13,14,29,23,16])).
% 25.57/25.59 cnf(108,plain,
% 25.57/25.59 (~P4(f5(f2(x1081,x1082),x1081),x1081)),
% 25.57/25.59 inference(scs_inference,[],[7,45,12])).
% 25.57/25.59 cnf(659,plain,
% 25.57/25.59 (P5(f1(a3,a4),f2(a3,a4))),
% 25.57/25.59 inference(scs_inference,[],[8,64,10])).
% 25.57/25.59 cnf(666,plain,
% 25.57/25.59 (~P2(f1(a3,a4),f2(a3,a4))),
% 25.57/25.59 inference(scs_inference,[],[7,659,6,23,35,16])).
% 25.57/25.59 cnf(1148,plain,
% 25.57/25.59 (~P2(f1(x11481,x11482),x11481)),
% 25.57/25.59 inference(rename_variables,[],[50])).
% 25.57/25.59 cnf(1150,plain,
% 25.57/25.59 (~P3(f1(x11501,x11502),f1(x11501,x11503))),
% 25.57/25.59 inference(scs_inference,[],[50,1148,4,6,28,27])).
% 25.57/25.59 cnf(1175,plain,
% 25.57/25.59 (~P2(f1(x11751,x11752),x11751)),
% 25.57/25.59 inference(rename_variables,[],[50])).
% 25.57/25.59 cnf(1180,plain,
% 25.57/25.59 (~P3(f1(f1(x11801,x11802),x11803),f1(x11801,x11804))),
% 25.57/25.59 inference(scs_inference,[],[50,1175,1150,5,6,28,27,29])).
% 25.57/25.59 cnf(1206,plain,
% 25.57/25.59 (~P2(f1(f1(x12061,x12062),x12063),f1(x12061,x12064))),
% 25.57/25.59 inference(scs_inference,[],[1180,12,23,13,16])).
% 25.57/25.59 cnf(4333,plain,
% 25.57/25.59 (~P2(f1(f1(x43331,x43332),x43333),x43331)),
% 25.57/25.59 inference(scs_inference,[],[83,50,26])).
% 25.57/25.59 cnf(4339,plain,
% 25.57/25.59 (~P3(f1(f1(x43391,x43392),x43393),x43391)),
% 25.57/25.59 inference(scs_inference,[],[83,50,108,1180,26,28,27])).
% 25.57/25.59 cnf(4467,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),f1(f1(a3,a4),x44671))),
% 25.57/25.59 inference(scs_inference,[],[8,83,10,26])).
% 25.57/25.59 cnf(4470,plain,
% 25.57/25.59 (P2(f1(f1(a3,a4),x44701),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4467,20,26])).
% 25.57/25.59 cnf(4476,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),f1(a3,x44761))),
% 25.57/25.59 inference(scs_inference,[],[1206,4470,20,26])).
% 25.57/25.59 cnf(4482,plain,
% 25.57/25.59 (P2(f1(a3,x44821),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4476,20,26])).
% 25.57/25.59 cnf(4488,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),f1(f1(a3,x44881),x44882))),
% 25.57/25.59 inference(scs_inference,[],[83,4482,20,26])).
% 25.57/25.59 cnf(4494,plain,
% 25.57/25.59 (P2(f1(f1(a3,x44941),x44942),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4488,20,26])).
% 25.57/25.59 cnf(4505,plain,
% 25.57/25.59 (~P2(f1(f1(a3,x45051),a4),f2(a3,a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4488,4339,7,20,26,64,23,35,16])).
% 25.57/25.59 cnf(4514,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),f2(a3,a4))),
% 25.57/25.59 inference(scs_inference,[],[666,4494,4505,4482,20,10,26])).
% 25.57/25.59 cnf(4520,plain,
% 25.57/25.59 (P2(f2(a3,a4),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4514,20,26])).
% 25.57/25.59 cnf(4524,plain,
% 25.57/25.59 (~P6(f2(a3,a4),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[4520,20])).
% 25.57/25.59 cnf(4526,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),f1(f2(a3,a4),x45261))),
% 25.57/25.59 inference(scs_inference,[],[83,4520,20,26])).
% 25.57/25.59 cnf(4532,plain,
% 25.57/25.59 (P2(f1(f2(a3,a4),x45321),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4526,20,26])).
% 25.57/25.59 cnf(4538,plain,
% 25.57/25.59 (P2(f2(f2(a3,a4),a4),a3)),
% 25.57/25.59 inference(scs_inference,[],[4333,4532,4494,20,26])).
% 25.57/25.59 cnf(4544,plain,
% 25.57/25.59 (P2(a3,f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[2,4538,20,26])).
% 25.57/25.59 cnf(4548,plain,
% 25.57/25.59 (~P6(a3,f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[4544,20])).
% 25.57/25.59 cnf(4658,plain,
% 25.57/25.59 (P3(f2(a3,a4),f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[4524,10,16])).
% 25.57/25.59 cnf(4888,plain,
% 25.57/25.59 (P3(a3,f2(f2(a3,a4),a4))),
% 25.57/25.59 inference(scs_inference,[],[4548,10,16])).
% 25.57/25.59 cnf(5171,plain,
% 25.57/25.59 (~P5(f2(x51711,x51712),x51711)),
% 25.57/25.59 inference(rename_variables,[],[7])).
% 25.57/25.59 cnf(5173,plain,
% 25.57/25.59 ($false),
% 25.57/25.59 inference(scs_inference,[],[4888,4658,3,7,5171,30,35]),
% 25.57/25.59 ['proof']).
% 25.57/25.59 % SZS output end Proof
% 25.57/25.59 % Total time :24.910000s
%------------------------------------------------------------------------------