TSTP Solution File: GEO262+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO262+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 : n031.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 22:44:07 EDT 2023
% Result : Theorem 0.51s 0.62s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO262+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.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 21:52:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 % File :CSE---1.6
% 0.51/0.61 % Problem :theBenchmark
% 0.51/0.61 % Transform :cnf
% 0.51/0.61 % Format :tptp:raw
% 0.51/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.61
% 0.51/0.61 % Result :Theorem 0.010000s
% 0.51/0.61 % Output :CNFRefutation 0.010000s
% 0.51/0.61 %-------------------------------------------
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 % File : GEO262+3 : TPTP v8.1.2. Released v4.0.0.
% 0.51/0.62 % Domain : Geometry (Constructive)
% 0.51/0.62 % Problem : Lemma for parallel projection preserves or reverses order
% 0.51/0.62 % Version : [vPl98] axioms.
% 0.51/0.62 % English :
% 0.51/0.62
% 0.51/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.51/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.62 % Source : [Rat07]
% 0.51/0.62 % Names : Lemma 6.6 [vPl98]
% 0.51/0.62
% 0.51/0.62 % Status : Theorem
% 0.51/0.62 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 0.51/0.62 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.51/0.62 % Number of atoms : 116 ( 0 equ)
% 0.51/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.51/0.62 % Number of connectives : 91 ( 12 ~; 22 |; 29 &)
% 0.51/0.62 % ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% 0.51/0.62 % Maximal formula depth : 13 ( 6 avg)
% 0.51/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.51/0.62 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.51/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.51/0.62 % Number of variables : 87 ( 87 !; 0 ?)
% 0.51/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.62
% 0.51/0.62 % Comments :
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 include('Axioms/GEO009+0.ax').
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 fof(con,conjecture,
% 0.51/0.62 ! [L,M,N,A,B,C] :
% 0.51/0.62 ( ( between_on_line(L,A,B,C)
% 0.51/0.62 & convergent_lines(L,M)
% 0.51/0.62 & incident_point_and_line(B,M)
% 0.51/0.62 & convergent_lines(L,N)
% 0.51/0.62 & convergent_lines(M,N)
% 0.51/0.62 & incident_point_and_line(B,N) )
% 0.51/0.62 => between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ) ).
% 0.51/0.62
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 % Proof found
% 0.51/0.62 % SZS status Theorem for theBenchmark
% 0.51/0.62 % SZS output start Proof
% 0.51/0.62 %ClaNum:73(EqnAxiom:0)
% 0.51/0.62 %VarNum:311(SingletonVarNum:129)
% 0.51/0.62 %MaxLitNum:10
% 0.51/0.62 %MaxfuncDepth:2
% 0.51/0.62 %SharedTerms:17
% 0.51/0.62 %goalClause: 1 2 3 4 5 8 17
% 0.51/0.62 %singleGoalClaCount:7
% 0.51/0.62 [1]P1(a1,a2)
% 0.51/0.62 [2]P1(a1,a3)
% 0.51/0.62 [3]P1(a2,a3)
% 0.51/0.62 [4]P5(a4,a2)
% 0.51/0.62 [5]P5(a4,a3)
% 0.51/0.62 [8]P2(a1,a5,a4,a7)
% 0.51/0.62 [17]~P2(a2,f8(a2,f6(a3,a5)),a4,f8(a2,f6(a3,a7)))
% 0.51/0.62 [6]P6(x61,x61)
% 0.51/0.62 [11]~P7(x111,x111)
% 0.51/0.62 [12]~P8(x121,x121)
% 0.51/0.62 [15]~P8(x151,f10(x151))
% 0.51/0.62 [9]~P11(x91,x92)
% 0.51/0.62 [10]~P12(x101,x102)
% 0.51/0.62 [7]P6(f6(x71,x72),x71)
% 0.51/0.62 [16]~P3(x161,f6(x162,x161))
% 0.51/0.62 [18]~P13(x181)+P13(f10(x181))
% 0.51/0.62 [19]P10(x191,x192)+P14(x191,x192)
% 0.51/0.62 [20]P6(x201,x202)+P15(x201,x202)
% 0.51/0.62 [22]~P1(x221,x222)+P14(x221,x222)
% 0.51/0.62 [23]~P1(x231,x232)+P15(x231,x232)
% 0.51/0.62 [24]~P16(x241,x242)+P3(x241,x242)
% 0.51/0.62 [30]~P10(x301,x302)+~P14(x301,x302)
% 0.51/0.62 [31]~P6(x311,x312)+~P15(x311,x312)
% 0.51/0.62 [21]P15(x211,x212)+P15(x211,f10(x212))
% 0.51/0.62 [26]~P14(x261,x262)+P15(x261,f10(x262))
% 0.51/0.62 [27]~P16(x271,x272)+P11(x271,f10(x272))
% 0.51/0.62 [28]~P18(x281,x282)+P12(x281,f10(x282))
% 0.51/0.62 [32]P14(x321,x322)+~P15(x321,f10(x322))
% 0.51/0.62 [45]~P7(x451,x452)+~P3(x452,f9(x451,x452))
% 0.51/0.62 [46]~P7(x461,x462)+~P3(x461,f9(x461,x462))
% 0.51/0.62 [64]~P7(x641,x642)+P6(f9(x641,x642),f10(f9(x642,x641)))
% 0.51/0.62 [55]P7(x551,x552)+~P4(x553,x551,x552)
% 0.51/0.62 [56]P5(x561,x562)+~P4(x562,x563,x561)
% 0.51/0.62 [57]P5(x571,x572)+~P4(x572,x571,x573)
% 0.51/0.62 [65]~P4(x651,x652,x653)+P6(x651,f9(x652,x653))
% 0.51/0.62 [37]P11(x371,x372)+~P3(x371,x372)+P16(x371,x372)
% 0.51/0.62 [41]~P14(x411,x412)+~P15(x411,x412)+P1(x411,x412)
% 0.51/0.62 [29]~P17(x292)+~P13(x291)+P13(f6(x291,x292))
% 0.51/0.62 [62]~P15(x621,x622)+~P15(x621,f10(x622))+~P3(f8(x621,x622),x622)
% 0.51/0.62 [63]~P15(x631,x632)+~P15(x631,f10(x632))+~P3(f8(x631,x632),x631)
% 0.51/0.62 [35]~P15(x353,x351)+P15(x351,x352)+P15(x353,x352)
% 0.51/0.62 [39]~P7(x393,x391)+P7(x391,x392)+P7(x393,x392)
% 0.51/0.62 [40]~P8(x403,x401)+P8(x401,x402)+P8(x403,x402)
% 0.51/0.62 [58]~P9(x582,x583,x581)+P16(x581,x582)+P16(x583,x582)
% 0.51/0.62 [59]P11(x591,x592)+P16(x591,x592)+~P9(x592,x593,x591)
% 0.51/0.62 [60]P11(x601,x602)+P16(x601,x602)+~P9(x602,x601,x603)
% 0.51/0.62 [61]~P9(x612,x611,x613)+P11(x611,x612)+P11(x613,x612)
% 0.51/0.62 [68]~P4(x681,x683,x682)+~P4(x681,x684,x683)+P2(x681,x682,x683,x684)
% 0.51/0.62 [69]~P4(x691,x693,x694)+~P4(x691,x692,x693)+P2(x691,x692,x693,x694)
% 0.51/0.62 [70]~P2(x701,x702,x703,x704)+P4(x701,x702,x703)+P4(x701,x704,x703)
% 0.51/0.62 [71]P4(x711,x713,x712)+P4(x711,x712,x713)+~P2(x711,x714,x712,x713)
% 0.51/0.62 [72]P4(x721,x723,x722)+P4(x721,x722,x723)+~P2(x721,x722,x723,x724)
% 0.51/0.62 [73]~P2(x731,x734,x732,x733)+P4(x731,x732,x733)+P4(x731,x732,x734)
% 0.51/0.62 [42]~P17(x422)+~P17(x421)+~P7(x421,x422)+P13(f9(x421,x422))
% 0.51/0.62 [49]~P15(x491,x492)+P12(x491,x492)+P12(x491,f10(x492))+~P15(x491,f10(x492))
% 0.51/0.62 [47]~P15(x471,x473)+P15(x471,x472)+~P15(x471,f10(x473))+P15(x473,f10(x472))
% 0.51/0.62 [48]~P15(x483,x481)+P15(x481,x482)+~P15(x483,f10(x481))+P15(x483,f10(x482))
% 0.51/0.62 [51]~P13(x512)+~P13(x511)+~P15(x511,x512)+~P15(x511,f10(x512))+P17(f8(x511,x512))
% 0.51/0.62 [67]~P7(x672,x673)+~P5(x673,x671)+~P5(x672,x671)+P4(x671,x672,x673)+~P6(x671,f9(x672,x673))
% 0.51/0.62 [66]P11(x664,x663)+~P7(x664,x661)+~P8(x663,x662)+P11(x661,x662)+P11(x661,x663)+P11(x664,x662)+P11(x661,f10(x662))+P11(x661,f10(x663))+P11(x664,f10(x662))+P11(x664,f10(x663))
% 0.51/0.62 %EqnAxiom
% 0.51/0.62
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 cnf(77,plain,
% 0.51/0.62 (~P11(x771,x772)),
% 0.51/0.62 inference(rename_variables,[],[9])).
% 0.51/0.62 cnf(101,plain,
% 0.51/0.62 (P12(a1,f10(a2))),
% 0.51/0.62 inference(scs_inference,[],[1,6,11,9,77,10,16,55,24,27,73,72,71,31,23,22,26,21,37,35,48,49])).
% 0.51/0.62 cnf(116,plain,
% 0.51/0.62 ($false),
% 0.51/0.62 inference(scs_inference,[],[101,10]),
% 0.51/0.62 ['proof']).
% 0.51/0.62 % SZS output end Proof
% 0.51/0.62 % Total time :0.010000s
%------------------------------------------------------------------------------