TSTP Solution File: GEO262+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 22:44:06 EDT 2023
% Result : Theorem 0.55s 0.63s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 29 22:47:59 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 % File :CSE---1.6
% 0.55/0.62 % Problem :theBenchmark
% 0.55/0.62 % Transform :cnf
% 0.55/0.62 % Format :tptp:raw
% 0.55/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.62
% 0.55/0.62 % Result :Theorem 0.000000s
% 0.55/0.62 % Output :CNFRefutation 0.000000s
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 %------------------------------------------------------------------------------
% 0.55/0.62 % File : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.55/0.62 % Domain : Geometry (Constructive)
% 0.55/0.62 % Problem : Lemma for parallel projection preserves or reverses order
% 0.55/0.62 % Version : [vPl98] axioms : Especial.
% 0.55/0.62 % English :
% 0.55/0.62
% 0.55/0.62 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.55/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.62 % Source : [ILTP]
% 0.55/0.62 % Names : Lemma 6.6 [vPl98]
% 0.55/0.62
% 0.55/0.62 % Status : Theorem
% 0.55/0.62 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0
% 0.55/0.62 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.55/0.62 % Number of atoms : 109 ( 0 equ)
% 0.55/0.62 % Maximal formula atoms : 10 ( 3 avg)
% 0.55/0.62 % Number of connectives : 95 ( 18 ~; 24 |; 30 &)
% 0.55/0.62 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.55/0.62 % Maximal formula depth : 14 ( 6 avg)
% 0.55/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.55/0.62 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.55/0.62 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.55/0.62 % Number of variables : 77 ( 77 !; 0 ?)
% 0.55/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.62
% 0.55/0.62 % Comments : Definitions unfolded, hence Especial.
% 0.55/0.62 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.55/0.62 %------------------------------------------------------------------------------
% 0.55/0.62 include('Axioms/GEO007+0.ax').
% 0.55/0.62 %------------------------------------------------------------------------------
% 0.55/0.62 fof(con,conjecture,
% 0.55/0.62 ! [L,M,N,A,B,C] :
% 0.55/0.62 ( ( between_on_line(L,A,B,C)
% 0.55/0.62 & convergent_lines(L,M)
% 0.55/0.63 & ~ apart_point_and_line(B,M)
% 0.55/0.63 & convergent_lines(L,N)
% 0.55/0.63 & convergent_lines(M,N)
% 0.55/0.63 & ~ apart_point_and_line(B,N) )
% 0.55/0.63 => between_on_line(M,intersection_point(M,parallel_through_point(N,A)),B,intersection_point(M,parallel_through_point(N,C))) ) ).
% 0.55/0.63
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.55/0.63 %ClaNum:65(EqnAxiom:0)
% 0.55/0.63 %VarNum:269(SingletonVarNum:105)
% 0.55/0.63 %MaxLitNum:10
% 0.55/0.63 %MaxfuncDepth:2
% 0.55/0.63 %SharedTerms:17
% 0.55/0.63 %goalClause: 1 2 3 4 5 6 18
% 0.55/0.63 %singleGoalClaCount:7
% 0.55/0.63 [1]P1(a1,a2)
% 0.55/0.63 [2]P1(a1,a3)
% 0.55/0.63 [3]P1(a2,a3)
% 0.55/0.63 [4]P2(a1,a4,a5,a6)
% 0.55/0.63 [5]~P3(a5,a2)
% 0.55/0.63 [6]~P3(a5,a3)
% 0.55/0.63 [18]~P2(a2,f10(a2,f8(a3,a4)),a5,f10(a2,f8(a3,a6)))
% 0.55/0.63 [8]~P9(x81,x81)
% 0.55/0.63 [9]~P6(x91,x91)
% 0.55/0.63 [10]~P7(x101,x101)
% 0.55/0.63 [13]~P7(x131,f7(x131))
% 0.55/0.63 [7]~P5(x71,x72)
% 0.55/0.63 [11]~P10(x111,x112)
% 0.55/0.63 [15]~P3(x151,f8(x152,x151))
% 0.55/0.63 [16]~P9(f8(x161,x162),x161)
% 0.55/0.63 [17]~P9(f9(x171,x172),f7(f9(x172,x171)))
% 0.55/0.63 [19]~P11(x191)+P11(f7(x191))
% 0.55/0.63 [21]~P1(x211,x212)+P9(x211,x212)
% 0.55/0.63 [22]~P1(x221,x222)+P9(x221,f7(x222))
% 0.55/0.63 [36]~P6(x361,x362)+~P3(x362,f9(x361,x362))
% 0.55/0.63 [37]~P6(x371,x372)+~P3(x371,f9(x371,x372))
% 0.57/0.63 [44]P6(x441,x442)+~P4(x443,x441,x442)
% 0.57/0.63 [57]~P4(x571,x572,x573)+~P9(x571,f9(x572,x573))
% 0.57/0.63 [23]~P11(x231)+~P12(x232)+P11(f8(x231,x232))
% 0.57/0.63 [31]~P3(x311,x312)+P5(x311,x312)+P5(x311,f7(x312))
% 0.57/0.63 [33]~P9(x331,x332)+P1(x331,x332)+~P9(x331,f7(x332))
% 0.57/0.63 [52]~P9(x521,x522)+~P9(x521,f7(x522))+~P3(f10(x521,x522),x522)
% 0.57/0.63 [53]~P9(x531,x532)+~P9(x531,f7(x532))+~P3(f10(x531,x532),x531)
% 0.57/0.63 [27]~P9(x273,x271)+P9(x271,x272)+P9(x273,x272)
% 0.57/0.63 [29]~P6(x293,x291)+P6(x291,x292)+P6(x293,x292)
% 0.57/0.63 [30]~P7(x303,x301)+P7(x301,x302)+P7(x303,x302)
% 0.57/0.63 [49]~P8(x492,x491,x493)+P5(x491,x492)+P5(x493,x492)
% 0.57/0.63 [54]P5(x541,x542)+~P8(x542,x543,x541)+P5(x541,f7(x542))
% 0.57/0.63 [55]P5(x551,x552)+~P8(x552,x551,x553)+P5(x551,f7(x552))
% 0.57/0.63 [56]~P8(x562,x563,x561)+P5(x561,f7(x562))+P5(x563,f7(x562))
% 0.57/0.63 [60]~P4(x601,x603,x602)+~P4(x601,x604,x603)+P2(x601,x602,x603,x604)
% 0.57/0.63 [61]~P4(x611,x613,x614)+~P4(x611,x612,x613)+P2(x611,x612,x613,x614)
% 0.57/0.63 [62]~P2(x621,x622,x623,x624)+P4(x621,x622,x623)+P4(x621,x624,x623)
% 0.57/0.63 [63]P4(x631,x633,x632)+P4(x631,x632,x633)+~P2(x631,x634,x632,x633)
% 0.57/0.63 [64]P4(x641,x643,x642)+P4(x641,x642,x643)+~P2(x641,x642,x643,x644)
% 0.57/0.63 [65]~P2(x651,x654,x652,x653)+P4(x651,x652,x653)+P4(x651,x652,x654)
% 0.57/0.63 [25]~P11(x252)+~P11(x251)+P9(x251,x252)+P9(x251,f7(x252))
% 0.57/0.63 [32]~P12(x322)+~P12(x321)+~P6(x321,x322)+P11(f9(x321,x322))
% 0.57/0.63 [40]~P9(x401,x402)+P10(x401,x402)+P10(x401,f7(x402))+~P9(x401,f7(x402))
% 0.57/0.63 [38]~P9(x381,x383)+P9(x381,x382)+~P9(x381,f7(x383))+P9(x383,f7(x382))
% 0.57/0.63 [39]~P9(x393,x391)+P9(x391,x392)+~P9(x393,f7(x391))+P9(x393,f7(x392))
% 0.57/0.63 [42]~P11(x422)+~P11(x421)+~P9(x421,x422)+~P9(x421,f7(x422))+P12(f10(x421,x422))
% 0.57/0.63 [59]P4(x592,x593,x591)+~P6(x593,x591)+P5(x591,x592)+P5(x593,x592)+P5(x591,f7(x592))+P5(x593,f7(x592))+P9(x592,f9(x593,x591))
% 0.57/0.63 [58]P5(x584,x583)+~P6(x584,x581)+~P7(x583,x582)+P5(x581,x582)+P5(x581,x583)+P5(x584,x582)+P5(x581,f7(x582))+P5(x581,f7(x583))+P5(x584,f7(x582))+P5(x584,f7(x583))
% 0.57/0.63 %EqnAxiom
% 0.57/0.63
% 0.57/0.63 %-------------------------------------------
% 0.57/0.63 cnf(69,plain,
% 0.57/0.63 (~P9(x691,x691)),
% 0.57/0.63 inference(rename_variables,[],[8])).
% 0.57/0.63 cnf(79,plain,
% 0.57/0.63 (~P9(x791,x791)),
% 0.57/0.63 inference(rename_variables,[],[8])).
% 0.57/0.63 cnf(82,plain,
% 0.57/0.63 (~P9(x821,x821)),
% 0.57/0.63 inference(rename_variables,[],[8])).
% 0.57/0.63 cnf(91,plain,
% 0.57/0.63 (~P9(x911,x912)+P10(x911,f7(x912))+~P9(x911,f7(x912))),
% 0.57/0.63 inference(scs_inference,[],[8,69,79,82,9,10,11,4,13,16,17,44,21,22,65,64,63,25,39,62,30,27,40])).
% 0.57/0.63 cnf(100,plain,
% 0.57/0.63 ($false),
% 0.57/0.63 inference(scs_inference,[],[1,11,8,22,21,27,91]),
% 0.57/0.63 ['proof']).
% 0.57/0.63 % SZS output end Proof
% 0.57/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------