%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO263+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 06:05:01 EDT 2024
% Result : Theorem 1.60s 1.66s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO263+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 08:33:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.55/0.58 start to proof:theBenchmark
% 1.56/1.66 %-------------------------------------------
% 1.56/1.66 % File :CSE---1.7
% 1.56/1.66 % Problem :theBenchmark
% 1.56/1.66 % Transform :cnf
% 1.56/1.66 % Format :tptp:raw
% 1.56/1.66 % Command :java -jar mcs_scs.jar %d %s
% 1.56/1.66
% 1.56/1.66 % Result :Theorem 1.010000s
% 1.56/1.66 % Output :CNFRefutation 1.010000s
% 1.56/1.66 %-------------------------------------------
% 1.60/1.66 %------------------------------------------------------------------------------
% 1.60/1.66 % File : GEO263+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 1.60/1.66 % Domain : Geometry (Constructive)
% 1.60/1.66 % Problem : Parallel projection preserves or reverses order
% 1.60/1.66 % Version : [vPl98] axioms : Especial.
% 1.60/1.66 % English :
% 1.60/1.66
% 1.60/1.66 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 1.60/1.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.60/1.66 % Source : [ILTP]
% 1.60/1.66 % Names : Theorem 6.7 [vPl98]
% 1.60/1.66
% 1.60/1.66 % Status : Theorem
% 1.60/1.66 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0
% 1.60/1.66 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 1.60/1.66 % Number of atoms : 107 ( 0 equ)
% 1.60/1.66 % Maximal formula atoms : 10 ( 3 avg)
% 1.60/1.66 % Number of connectives : 91 ( 16 ~; 24 |; 28 &)
% 1.60/1.66 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 1.60/1.66 % Maximal formula depth : 13 ( 6 avg)
% 1.60/1.66 % Maximal term depth : 3 ( 1 avg)
% 1.60/1.66 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 1.60/1.66 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 1.60/1.66 % Number of variables : 77 ( 77 !; 0 ?)
% 1.60/1.66 % SPC : FOF_THM_RFO_NEQ
% 1.60/1.66
% 1.60/1.66 % Comments : Definitions unfolded, hence Especial.
% 1.60/1.66 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 1.60/1.66 %------------------------------------------------------------------------------
% 1.60/1.66 include('Axioms/GEO007+0.ax').
% 1.60/1.66 %------------------------------------------------------------------------------
% 1.60/1.66 fof(con,conjecture,
% 1.60/1.66 ! [L,M,N,A,B,C] :
% 1.60/1.66 ( ( between_on_line(L,A,B,C)
% 1.60/1.66 & convergent_lines(L,M)
% 1.60/1.66 & convergent_lines(L,N)
% 1.60/1.66 & convergent_lines(M,N) )
% 1.60/1.66 => between_on_line(M,intersection_point(M,parallel_through_point(N,A)),intersection_point(M,parallel_through_point(N,B)),intersection_point(M,parallel_through_point(N,C))) ) ).
% 1.60/1.66
% 1.60/1.66 %------------------------------------------------------------------------------
% 1.60/1.66 %-------------------------------------------
% 1.60/1.66 % Proof found
% 1.60/1.66 % SZS status Theorem for theBenchmark
% 1.60/1.66 % SZS output start Proof
% 1.60/1.66 %ClaNum:63(EqnAxiom:0)
% 1.60/1.66 %VarNum:269(SingletonVarNum:105)
% 1.60/1.66 %MaxLitNum:10
% 1.60/1.66 %MaxfuncDepth:2
% 1.60/1.66 %SharedTerms:17
% 1.60/1.66 %goalClause: 1 2 3 4 16
% 1.60/1.66 %singleGoalClaCount:5
% 1.60/1.66 [1]P1(a1,a2)
% 1.60/1.66 [2]P1(a1,a3)
% 1.60/1.66 [3]P1(a2,a3)
% 1.60/1.66 [4]P2(a1,a4,a5,a6)
% 1.60/1.66 [16]~P2(a2,f10(a2,f8(a3,a4)),f10(a2,f8(a3,a5)),f10(a2,f8(a3,a6)))
% 1.60/1.66 [6]~P9(x61,x61)
% 1.60/1.66 [7]~P6(x71,x71)
% 1.60/1.66 [8]~P7(x81,x81)
% 1.60/1.66 [11]~P7(x111,f7(x111))
% 1.60/1.66 [5]~P5(x51,x52)
% 1.60/1.66 [9]~P10(x91,x92)
% 1.60/1.66 [13]~P3(x131,f8(x132,x131))
% 1.60/1.66 [14]~P9(f8(x141,x142),x141)
% 1.60/1.66 [15]~P9(f9(x151,x152),f7(f9(x152,x151)))
% 1.60/1.66 [17]~P11(x171)+P11(f7(x171))
% 1.60/1.66 [19]~P1(x191,x192)+P9(x191,x192)
% 1.60/1.66 [20]~P1(x201,x202)+P9(x201,f7(x202))
% 1.60/1.66 [34]~P6(x341,x342)+~P3(x342,f9(x341,x342))
% 1.60/1.66 [35]~P6(x351,x352)+~P3(x351,f9(x351,x352))
% 1.60/1.66 [42]P6(x421,x422)+~P4(x423,x421,x422)
% 1.60/1.66 [55]~P4(x551,x552,x553)+~P9(x551,f9(x552,x553))
% 1.60/1.66 [21]~P11(x211)+~P12(x212)+P11(f8(x211,x212))
% 1.60/1.66 [29]~P3(x291,x292)+P5(x291,x292)+P5(x291,f7(x292))
% 1.60/1.66 [31]~P9(x311,x312)+P1(x311,x312)+~P9(x311,f7(x312))
% 1.60/1.66 [50]~P9(x501,x502)+~P9(x501,f7(x502))+~P3(f10(x501,x502),x502)
% 1.60/1.66 [51]~P9(x511,x512)+~P9(x511,f7(x512))+~P3(f10(x511,x512),x511)
% 1.60/1.66 [25]~P9(x253,x251)+P9(x251,x252)+P9(x253,x252)
% 1.60/1.66 [27]~P6(x273,x271)+P6(x271,x272)+P6(x273,x272)
% 1.60/1.66 [28]~P7(x283,x281)+P7(x281,x282)+P7(x283,x282)
% 1.60/1.66 [47]~P8(x472,x471,x473)+P5(x471,x472)+P5(x473,x472)
% 1.60/1.67 [52]P5(x521,x522)+~P8(x522,x523,x521)+P5(x521,f7(x522))
% 1.60/1.67 [53]P5(x531,x532)+~P8(x532,x531,x533)+P5(x531,f7(x532))
% 1.60/1.67 [54]~P8(x542,x543,x541)+P5(x541,f7(x542))+P5(x543,f7(x542))
% 1.60/1.67 [58]~P4(x581,x583,x582)+~P4(x581,x584,x583)+P2(x581,x582,x583,x584)
% 1.60/1.67 [59]~P4(x591,x593,x594)+~P4(x591,x592,x593)+P2(x591,x592,x593,x594)
% 1.60/1.67 [60]~P2(x601,x602,x603,x604)+P4(x601,x602,x603)+P4(x601,x604,x603)
% 1.60/1.67 [61]P4(x611,x613,x612)+P4(x611,x612,x613)+~P2(x611,x614,x612,x613)
% 1.60/1.67 [62]P4(x621,x623,x622)+P4(x621,x622,x623)+~P2(x621,x622,x623,x624)
% 1.60/1.67 [63]~P2(x631,x634,x632,x633)+P4(x631,x632,x633)+P4(x631,x632,x634)
% 1.60/1.67 [23]~P11(x232)+~P11(x231)+P9(x231,x232)+P9(x231,f7(x232))
% 1.60/1.67 [30]~P12(x302)+~P12(x301)+~P6(x301,x302)+P11(f9(x301,x302))
% 1.60/1.67 [38]~P9(x381,x382)+P10(x381,x382)+P10(x381,f7(x382))+~P9(x381,f7(x382))
% 1.60/1.67 [36]~P9(x361,x363)+P9(x361,x362)+~P9(x361,f7(x363))+P9(x363,f7(x362))
% 1.60/1.67 [37]~P9(x373,x371)+P9(x371,x372)+~P9(x373,f7(x371))+P9(x373,f7(x372))
% 1.60/1.67 [40]~P11(x402)+~P11(x401)+~P9(x401,x402)+~P9(x401,f7(x402))+P12(f10(x401,x402))
% 1.60/1.67 [57]P4(x572,x573,x571)+~P6(x573,x571)+P5(x571,x572)+P5(x573,x572)+P5(x571,f7(x572))+P5(x573,f7(x572))+P9(x572,f9(x573,x571))
% 1.60/1.67 [56]P5(x564,x563)+~P6(x564,x561)+~P7(x563,x562)+P5(x561,x562)+P5(x561,x563)+P5(x564,x562)+P5(x561,f7(x562))+P5(x561,f7(x563))+P5(x564,f7(x562))+P5(x564,f7(x563))
% 1.60/1.67 %EqnAxiom
% 1.60/1.67
% 1.60/1.67 %-------------------------------------------
% 1.60/1.67 cnf(93,plain,
% 1.60/1.67 (~P9(f8(x931,x932),x931)),
% 1.60/1.67 inference(rename_variables,[],[14])).
% 1.60/1.67 cnf(95,plain,
% 1.60/1.67 (~P9(x951,f8(x951,x952))),
% 1.60/1.67 inference(scs_inference,[],[14,93,6,19,20,25])).
% 1.60/1.67 cnf(110,plain,
% 1.60/1.67 (~P9(x1101,f8(f8(x1101,x1102),x1103))),
% 1.60/1.67 inference(scs_inference,[],[14,15,95,19,20,25])).
% 1.60/1.67 cnf(121,plain,
% 1.60/1.67 (~P9(x1211,f8(f8(f8(x1211,x1212),x1213),x1214))),
% 1.60/1.67 inference(scs_inference,[],[14,110,19,25])).
% 1.60/1.67 cnf(3029,plain,
% 1.60/1.67 (P9(a3,a1)),
% 1.60/1.67 inference(scs_inference,[],[2,6,19,25])).
% 1.60/1.67 cnf(3030,plain,
% 1.60/1.67 (P9(a1,a3)),
% 1.60/1.67 inference(scs_inference,[],[6,3029,25])).
% 1.60/1.67 cnf(3048,plain,
% 1.60/1.67 (P10(a1,a3)+~P9(a1,f7(a3))),
% 1.60/1.67 inference(scs_inference,[],[121,3030,9,25,38])).
% 1.60/1.67 cnf(3074,plain,
% 1.60/1.67 (~P9(a1,f7(a3))),
% 1.60/1.67 inference(scs_inference,[],[9,3048])).
% 1.60/1.67 cnf(3091,plain,
% 1.60/1.67 ($false),
% 1.60/1.67 inference(scs_inference,[],[2,3074,20]),
% 1.60/1.67 ['proof']).
% 1.60/1.67 % SZS output end Proof
% 1.60/1.67 % Total time :1.010000s
%------------------------------------------------------------------------------