%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO261+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 06:05:00 EDT 2024
% Result : Theorem 1.17s 1.21s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO261+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Jun 21 08:51:09 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.17/0.53 start to proof:theBenchmark
% 1.17/1.21 %-------------------------------------------
% 1.17/1.21 % File :CSE---1.7
% 1.17/1.21 % Problem :theBenchmark
% 1.17/1.21 % Transform :cnf
% 1.17/1.21 % Format :tptp:raw
% 1.17/1.21 % Command :java -jar mcs_scs.jar %d %s
% 1.17/1.21
% 1.17/1.21 % Result :Theorem 0.630000s
% 1.17/1.21 % Output :CNFRefutation 0.630000s
% 1.17/1.21 %-------------------------------------------
% 1.17/1.21 %------------------------------------------------------------------------------
% 1.17/1.21 % File : GEO261+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 1.17/1.21 % Domain : Geometry (Constructive)
% 1.17/1.21 % Problem : Lemma for parallel projection preserves or reverses order
% 1.17/1.21 % Version : [vPl98] axioms : Especial.
% 1.17/1.21 % English :
% 1.17/1.21
% 1.17/1.21 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 1.17/1.21 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.17/1.21 % Source : [ILTP]
% 1.17/1.21 % Names : Lemma 6.5 [vPl98]
% 1.17/1.21
% 1.17/1.21 % Status : Theorem
% 1.17/1.21 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0
% 1.17/1.21 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 1.17/1.21 % Number of atoms : 106 ( 0 equ)
% 1.17/1.21 % Maximal formula atoms : 10 ( 3 avg)
% 1.17/1.21 % Number of connectives : 91 ( 17 ~; 24 |; 27 &)
% 1.17/1.21 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 1.17/1.21 % Maximal formula depth : 13 ( 6 avg)
% 1.17/1.21 % Maximal term depth : 3 ( 1 avg)
% 1.17/1.21 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 1.17/1.21 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 1.17/1.21 % Number of variables : 76 ( 76 !; 0 ?)
% 1.17/1.21 % SPC : FOF_THM_RFO_NEQ
% 1.17/1.21
% 1.17/1.21 % Comments : Definitions unfolded, hence Especial.
% 1.17/1.21 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 1.17/1.21 %------------------------------------------------------------------------------
% 1.17/1.21 include('Axioms/GEO007+0.ax').
% 1.17/1.21 %------------------------------------------------------------------------------
% 1.17/1.21 fof(con,conjecture,
% 1.17/1.21 ! [L,M,A,B,C] :
% 1.17/1.21 ( ( between_on_line(L,A,B,C)
% 1.17/1.21 & convergent_lines(L,M)
% 1.17/1.21 & ~ apart_point_and_line(B,M) )
% 1.17/1.21 => divides_points(M,A,C) ) ).
% 1.17/1.21
% 1.17/1.21 %------------------------------------------------------------------------------
% 1.17/1.21 %-------------------------------------------
% 1.17/1.21 % Proof found
% 1.17/1.21 % SZS status Theorem for theBenchmark
% 1.17/1.21 % SZS output start Proof
% 1.17/1.21 %ClaNum:62(EqnAxiom:0)
% 1.17/1.21 %VarNum:269(SingletonVarNum:105)
% 1.17/1.21 %MaxLitNum:10
% 1.17/1.21 %MaxfuncDepth:2
% 1.17/1.21 %SharedTerms:9
% 1.17/1.21 %goalClause: 1 2 3 14
% 1.17/1.21 %singleGoalClaCount:4
% 1.17/1.21 [1]P1(a1,a2)
% 1.17/1.21 [2]P2(a1,a3,a4,a5)
% 1.17/1.21 [3]~P3(a4,a2)
% 1.17/1.21 [14]~P8(a2,a3,a5)
% 1.17/1.21 [5]~P9(x51,x51)
% 1.17/1.21 [6]~P6(x61,x61)
% 1.17/1.21 [7]~P7(x71,x71)
% 1.17/1.21 [10]~P7(x101,f6(x101))
% 1.17/1.21 [4]~P5(x41,x42)
% 1.17/1.21 [8]~P10(x81,x82)
% 1.17/1.21 [12]~P3(x121,f7(x122,x121))
% 1.17/1.21 [13]~P9(f7(x131,x132),x131)
% 1.17/1.21 [15]~P9(f8(x151,x152),f6(f8(x152,x151)))
% 1.17/1.21 [16]~P11(x161)+P11(f6(x161))
% 1.17/1.22 [18]~P1(x181,x182)+P9(x181,x182)
% 1.17/1.22 [19]~P1(x191,x192)+P9(x191,f6(x192))
% 1.17/1.22 [33]~P6(x331,x332)+~P3(x332,f8(x331,x332))
% 1.17/1.22 [34]~P6(x341,x342)+~P3(x341,f8(x341,x342))
% 1.17/1.22 [41]P6(x411,x412)+~P4(x413,x411,x412)
% 1.17/1.22 [54]~P4(x541,x542,x543)+~P9(x541,f8(x542,x543))
% 1.17/1.22 [20]~P11(x201)+~P12(x202)+P11(f7(x201,x202))
% 1.17/1.22 [28]~P3(x281,x282)+P5(x281,x282)+P5(x281,f6(x282))
% 1.17/1.22 [30]~P9(x301,x302)+P1(x301,x302)+~P9(x301,f6(x302))
% 1.17/1.22 [49]~P9(x491,x492)+~P9(x491,f6(x492))+~P3(f9(x491,x492),x492)
% 1.17/1.22 [50]~P9(x501,x502)+~P9(x501,f6(x502))+~P3(f9(x501,x502),x501)
% 1.17/1.22 [24]~P9(x243,x241)+P9(x241,x242)+P9(x243,x242)
% 1.17/1.22 [26]~P6(x263,x261)+P6(x261,x262)+P6(x263,x262)
% 1.17/1.22 [27]~P7(x273,x271)+P7(x271,x272)+P7(x273,x272)
% 1.17/1.22 [46]~P8(x462,x461,x463)+P5(x461,x462)+P5(x463,x462)
% 1.17/1.22 [51]P5(x511,x512)+~P8(x512,x513,x511)+P5(x511,f6(x512))
% 1.17/1.22 [52]P5(x521,x522)+~P8(x522,x521,x523)+P5(x521,f6(x522))
% 1.17/1.22 [53]~P8(x532,x533,x531)+P5(x531,f6(x532))+P5(x533,f6(x532))
% 1.17/1.22 [57]~P4(x571,x573,x572)+~P4(x571,x574,x573)+P2(x571,x572,x573,x574)
% 1.17/1.22 [58]~P4(x581,x583,x584)+~P4(x581,x582,x583)+P2(x581,x582,x583,x584)
% 1.17/1.22 [59]~P2(x591,x592,x593,x594)+P4(x591,x592,x593)+P4(x591,x594,x593)
% 1.17/1.22 [60]P4(x601,x603,x602)+P4(x601,x602,x603)+~P2(x601,x604,x602,x603)
% 1.17/1.22 [61]P4(x611,x613,x612)+P4(x611,x612,x613)+~P2(x611,x612,x613,x614)
% 1.17/1.22 [62]~P2(x621,x624,x622,x623)+P4(x621,x622,x623)+P4(x621,x622,x624)
% 1.17/1.22 [22]~P11(x222)+~P11(x221)+P9(x221,x222)+P9(x221,f6(x222))
% 1.17/1.22 [29]~P12(x292)+~P12(x291)+~P6(x291,x292)+P11(f8(x291,x292))
% 1.17/1.22 [37]~P9(x371,x372)+P10(x371,x372)+P10(x371,f6(x372))+~P9(x371,f6(x372))
% 1.17/1.22 [35]~P9(x351,x353)+P9(x351,x352)+~P9(x351,f6(x353))+P9(x353,f6(x352))
% 1.17/1.22 [36]~P9(x363,x361)+P9(x361,x362)+~P9(x363,f6(x361))+P9(x363,f6(x362))
% 1.17/1.22 [39]~P11(x392)+~P11(x391)+~P9(x391,x392)+~P9(x391,f6(x392))+P12(f9(x391,x392))
% 1.17/1.22 [56]P4(x562,x563,x561)+~P6(x563,x561)+P5(x561,x562)+P5(x563,x562)+P5(x561,f6(x562))+P5(x563,f6(x562))+P9(x562,f8(x563,x561))
% 1.17/1.22 [55]P5(x554,x553)+~P6(x554,x551)+~P7(x553,x552)+P5(x551,x552)+P5(x551,x553)+P5(x554,x552)+P5(x551,f6(x552))+P5(x551,f6(x553))+P5(x554,f6(x552))+P5(x554,f6(x553))
% 1.17/1.22 %EqnAxiom
% 1.17/1.22
% 1.17/1.22 %-------------------------------------------
% 1.17/1.22 cnf(86,plain,
% 1.17/1.22 (~P9(f7(x861,x862),x861)),
% 1.17/1.22 inference(rename_variables,[],[13])).
% 1.17/1.22 cnf(90,plain,
% 1.17/1.22 (~P9(x901,f7(x901,x902))),
% 1.17/1.22 inference(scs_inference,[],[13,86,5,19,18,24])).
% 1.17/1.22 cnf(107,plain,
% 1.17/1.22 (~P9(f7(f7(x1071,x1072),x1073),x1071)),
% 1.17/1.22 inference(scs_inference,[],[90,13,15,18,19,24])).
% 1.17/1.22 cnf(122,plain,
% 1.17/1.22 (~P9(f7(x1221,x1222),f7(f7(x1221,x1223),x1224))),
% 1.17/1.22 inference(scs_inference,[],[107,13,18,24])).
% 1.17/1.22 cnf(2333,plain,
% 1.17/1.22 (P9(a2,a1)),
% 1.17/1.22 inference(scs_inference,[],[1,5,18,24])).
% 1.17/1.22 cnf(2334,plain,
% 1.17/1.22 (P9(a1,a2)),
% 1.17/1.22 inference(scs_inference,[],[5,2333,24])).
% 1.17/1.22 cnf(2351,plain,
% 1.17/1.22 (~P7(f6(x23511),x23511)),
% 1.17/1.22 inference(scs_inference,[],[10,7,27])).
% 1.17/1.22 cnf(2354,plain,
% 1.17/1.22 (P9(a2,f7(a1,x23541))),
% 1.17/1.22 inference(scs_inference,[],[90,2334,10,7,27,24])).
% 1.17/1.22 cnf(2357,plain,
% 1.17/1.22 (P10(a1,a2)+~P9(a1,f6(a2))),
% 1.17/1.22 inference(scs_inference,[],[90,2334,8,10,7,27,24,37])).
% 1.17/1.22 cnf(2372,plain,
% 1.17/1.22 (~P7(x23721,f6(f6(x23721)))),
% 1.17/1.22 inference(scs_inference,[],[2351,10,27])).
% 1.17/1.22 cnf(2375,plain,
% 1.17/1.22 (P9(f7(a1,x23751),a2)),
% 1.17/1.22 inference(scs_inference,[],[5,2354,2351,10,27,24])).
% 1.17/1.22 cnf(2378,plain,
% 1.17/1.22 (P10(a2,f7(a1,x23781))+~P9(a2,f6(f7(a1,x23781)))),
% 1.17/1.22 inference(scs_inference,[],[5,2354,8,2351,10,27,24,37])).
% 1.17/1.22 cnf(2381,plain,
% 1.17/1.22 (P10(a2,f7(a1,x23811))+~P1(a2,f7(a1,x23811))),
% 1.17/1.22 inference(scs_inference,[],[5,2354,8,2351,10,27,24,37,19])).
% 1.17/1.22 cnf(2383,plain,
% 1.17/1.22 (P10(a2,f7(a1,x23831))+~P1(a2,f6(f7(a1,x23831)))),
% 1.17/1.22 inference(scs_inference,[],[5,2354,8,2351,10,27,24,37,19,18])).
% 1.17/1.22 cnf(2393,plain,
% 1.17/1.22 (~P9(a1,f6(a2))),
% 1.17/1.22 inference(scs_inference,[],[8,2357])).
% 1.17/1.22 cnf(2396,plain,
% 1.17/1.22 (~P10(x23961,x23962)),
% 1.17/1.22 inference(rename_variables,[],[8])).
% 1.17/1.22 cnf(2398,plain,
% 1.17/1.22 (~P10(x23981,x23982)),
% 1.17/1.22 inference(rename_variables,[],[8])).
% 1.17/1.22 cnf(2400,plain,
% 1.17/1.22 (~P10(x24001,x24002)),
% 1.17/1.22 inference(rename_variables,[],[8])).
% 1.17/1.22 cnf(2407,plain,
% 1.17/1.22 (P10(f7(a1,x24071),a2)+~P9(f7(a1,x24071),f6(a2))),
% 1.17/1.22 inference(scs_inference,[],[122,2375,8,2396,2398,2400,2372,7,2383,2381,2378,27,24,37])).
% 1.17/1.22 cnf(2410,plain,
% 1.17/1.22 (P10(f7(a1,x24101),a2)+~P1(f7(a1,x24101),a2)),
% 1.17/1.22 inference(scs_inference,[],[122,2375,8,2396,2398,2400,2372,7,2383,2381,2378,27,24,37,19])).
% 1.17/1.22 cnf(2412,plain,
% 1.17/1.22 (P10(f7(a1,x24121),a2)+~P1(f7(a1,x24121),f6(a2))),
% 1.17/1.22 inference(scs_inference,[],[122,2375,8,2396,2398,2400,2372,7,2383,2381,2378,27,24,37,19,18])).
% 1.17/1.22 cnf(2422,plain,
% 1.17/1.22 (~P10(x24221,x24222)),
% 1.17/1.22 inference(rename_variables,[],[8])).
% 1.17/1.22 cnf(2424,plain,
% 1.17/1.22 (~P10(x24241,x24242)),
% 1.17/1.22 inference(rename_variables,[],[8])).
% 1.17/1.22 cnf(2427,plain,
% 1.17/1.22 ($false),
% 1.17/1.22 inference(scs_inference,[],[1,2393,8,2422,2424,2412,2410,2407,19]),
% 1.17/1.22 ['proof']).
% 1.17/1.22 % SZS output end Proof
% 1.17/1.22 % Total time :0.630000s
%------------------------------------------------------------------------------