TSTP Solution File: GEO255+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO255+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 : n012.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 22:44:04 EDT 2023
% Result : Theorem 0.64s 0.81s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.16 % Problem : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.15/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.38 % Computer : n012.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Tue Aug 29 23:32:54 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.25/0.62 start to proof:theBenchmark
% 0.64/0.81 %-------------------------------------------
% 0.64/0.81 % File :CSE---1.6
% 0.64/0.81 % Problem :theBenchmark
% 0.64/0.81 % Transform :cnf
% 0.64/0.81 % Format :tptp:raw
% 0.64/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.64/0.81
% 0.64/0.81 % Result :Theorem 0.130000s
% 0.64/0.81 % Output :CNFRefutation 0.130000s
% 0.64/0.81 %-------------------------------------------
% 0.64/0.81 %------------------------------------------------------------------------------
% 0.64/0.81 % File : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.64/0.81 % Domain : Geometry (Constructive)
% 0.64/0.81 % Problem : Property of order and betweeness
% 0.64/0.81 % Version : [vPl98] axioms : Especial.
% 0.64/0.81 % English :
% 0.64/0.81
% 0.64/0.81 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.64/0.81 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.64/0.81 % Source : [ILTP]
% 0.64/0.81 % Names : Theorem 6.2.i [vPl98]
% 0.64/0.81
% 0.64/0.81 % Status : Theorem
% 0.64/0.81 % Rating : 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.4.0
% 0.64/0.81 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.64/0.81 % Number of atoms : 106 ( 0 equ)
% 0.64/0.81 % Maximal formula atoms : 10 ( 3 avg)
% 0.64/0.81 % Number of connectives : 91 ( 17 ~; 24 |; 27 &)
% 0.64/0.81 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.64/0.81 % Maximal formula depth : 13 ( 6 avg)
% 0.64/0.81 % Maximal term depth : 3 ( 1 avg)
% 0.64/0.81 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.64/0.81 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.64/0.81 % Number of variables : 74 ( 74 !; 0 ?)
% 0.64/0.81 % SPC : FOF_THM_RFO_NEQ
% 0.64/0.81
% 0.64/0.81 % Comments : Definitions unfolded, hence Especial.
% 0.64/0.81 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax, fixed conjecture.
% 0.64/0.81 %------------------------------------------------------------------------------
% 0.64/0.81 include('Axioms/GEO007+0.ax').
% 0.64/0.81 %------------------------------------------------------------------------------
% 0.64/0.81 fof(con,conjecture,
% 0.64/0.81 ! [L,A,B] :
% 0.64/0.81 ( ( line(L)
% 0.64/0.81 & distinct_points(A,B) )
% 0.64/0.81 => ~ ( before_on_line(L,A,B)
% 0.64/0.81 & before_on_line(L,B,A) ) ) ).
% 0.64/0.81
% 0.64/0.81 %------------------------------------------------------------------------------
% 0.64/0.81 %-------------------------------------------
% 0.64/0.81 % Proof found
% 0.64/0.81 % SZS status Theorem for theBenchmark
% 0.64/0.81 % SZS output start Proof
% 0.64/0.82 %ClaNum:62(EqnAxiom:0)
% 0.64/0.82 %VarNum:269(SingletonVarNum:105)
% 0.64/0.82 %MaxLitNum:10
% 0.64/0.82 %MaxfuncDepth:2
% 0.64/0.82 %SharedTerms:7
% 0.64/0.82 %goalClause: 1 2 3 4
% 0.64/0.82 %singleGoalClaCount:4
% 0.64/0.82 [1]P1(a1)
% 0.64/0.82 [2]P2(a2,a3)
% 0.64/0.82 [3]P3(a1,a2,a3)
% 0.64/0.82 [4]P3(a1,a3,a2)
% 0.64/0.82 [6]~P11(x61,x61)
% 0.64/0.82 [7]~P2(x71,x71)
% 0.64/0.82 [8]~P5(x81,x81)
% 0.64/0.82 [11]~P5(x111,f4(x111))
% 0.64/0.82 [5]~P8(x51,x52)
% 0.64/0.82 [9]~P10(x91,x92)
% 0.64/0.82 [13]~P4(x131,f5(x132,x131))
% 0.64/0.82 [14]~P11(f5(x141,x142),x141)
% 0.64/0.82 [15]~P11(f6(x151,x152),f4(f6(x152,x151)))
% 0.64/0.82 [16]~P1(x161)+P1(f4(x161))
% 0.64/0.82 [18]~P6(x181,x182)+P11(x181,x182)
% 0.64/0.82 [19]~P6(x191,x192)+P11(x191,f4(x192))
% 0.64/0.82 [33]~P2(x331,x332)+~P4(x332,f6(x331,x332))
% 0.64/0.82 [34]~P2(x341,x342)+~P4(x341,f6(x341,x342))
% 0.64/0.82 [41]P2(x411,x412)+~P3(x413,x411,x412)
% 0.64/0.82 [54]~P3(x541,x542,x543)+~P11(x541,f6(x542,x543))
% 0.64/0.82 [20]~P1(x201)+~P12(x202)+P1(f5(x201,x202))
% 0.64/0.82 [28]~P4(x281,x282)+P8(x281,x282)+P8(x281,f4(x282))
% 0.64/0.82 [30]~P11(x301,x302)+P6(x301,x302)+~P11(x301,f4(x302))
% 0.64/0.82 [49]~P11(x491,x492)+~P11(x491,f4(x492))+~P4(f7(x491,x492),x492)
% 0.64/0.82 [50]~P11(x501,x502)+~P11(x501,f4(x502))+~P4(f7(x501,x502),x501)
% 0.64/0.82 [24]~P11(x243,x241)+P11(x241,x242)+P11(x243,x242)
% 0.64/0.82 [26]~P2(x263,x261)+P2(x261,x262)+P2(x263,x262)
% 0.64/0.82 [27]~P5(x273,x271)+P5(x271,x272)+P5(x273,x272)
% 0.64/0.82 [46]~P9(x462,x461,x463)+P8(x461,x462)+P8(x463,x462)
% 0.64/0.82 [51]P8(x511,x512)+~P9(x512,x513,x511)+P8(x511,f4(x512))
% 0.64/0.82 [52]P8(x521,x522)+~P9(x522,x521,x523)+P8(x521,f4(x522))
% 0.64/0.82 [53]~P9(x532,x533,x531)+P8(x531,f4(x532))+P8(x533,f4(x532))
% 0.64/0.82 [57]~P3(x571,x573,x572)+~P3(x571,x574,x573)+P7(x571,x572,x573,x574)
% 0.64/0.82 [58]~P3(x581,x583,x584)+~P3(x581,x582,x583)+P7(x581,x582,x583,x584)
% 0.64/0.82 [59]~P7(x591,x592,x593,x594)+P3(x591,x592,x593)+P3(x591,x594,x593)
% 0.64/0.82 [60]P3(x601,x603,x602)+P3(x601,x602,x603)+~P7(x601,x604,x602,x603)
% 0.64/0.82 [61]P3(x611,x613,x612)+P3(x611,x612,x613)+~P7(x611,x612,x613,x614)
% 0.64/0.82 [62]~P7(x621,x624,x622,x623)+P3(x621,x622,x623)+P3(x621,x622,x624)
% 0.64/0.82 [22]~P1(x222)+~P1(x221)+P11(x221,x222)+P11(x221,f4(x222))
% 0.64/0.82 [29]~P12(x292)+~P12(x291)+~P2(x291,x292)+P1(f6(x291,x292))
% 0.64/0.82 [37]~P11(x371,x372)+P10(x371,x372)+P10(x371,f4(x372))+~P11(x371,f4(x372))
% 0.64/0.82 [35]~P11(x351,x353)+P11(x351,x352)+~P11(x351,f4(x353))+P11(x353,f4(x352))
% 0.64/0.82 [36]~P11(x363,x361)+P11(x361,x362)+~P11(x363,f4(x361))+P11(x363,f4(x362))
% 0.64/0.82 [39]~P1(x392)+~P1(x391)+~P11(x391,x392)+~P11(x391,f4(x392))+P12(f7(x391,x392))
% 0.64/0.82 [56]P3(x562,x563,x561)+~P2(x563,x561)+P8(x561,x562)+P8(x563,x562)+P8(x561,f4(x562))+P8(x563,f4(x562))+P11(x562,f6(x563,x561))
% 0.64/0.82 [55]P8(x554,x553)+~P2(x554,x551)+~P5(x553,x552)+P8(x551,x552)+P8(x551,x553)+P8(x554,x552)+P8(x551,f4(x552))+P8(x551,f4(x553))+P8(x554,f4(x552))+P8(x554,f4(x553))
% 0.64/0.82 %EqnAxiom
% 0.64/0.82
% 0.64/0.82 %-------------------------------------------
% 0.64/0.82 cnf(66,plain,
% 0.64/0.82 (~P11(x661,x661)),
% 0.64/0.82 inference(rename_variables,[],[6])).
% 0.64/0.82 cnf(78,plain,
% 0.64/0.82 (~P11(x781,x781)),
% 0.64/0.82 inference(rename_variables,[],[6])).
% 0.64/0.82 cnf(80,plain,
% 0.64/0.82 (P1(f4(a1))),
% 0.64/0.82 inference(scs_inference,[],[1,6,66,7,2,15,41,18,19,62,61,60,26,22,16])).
% 0.64/0.82 cnf(82,plain,
% 0.64/0.82 (~P11(a1,f6(a2,a3))),
% 0.64/0.82 inference(scs_inference,[],[1,6,66,7,2,3,15,41,18,19,62,61,60,26,22,16,54])).
% 0.64/0.82 cnf(92,plain,
% 0.64/0.82 (~P11(x921,f5(x921,x922))),
% 0.64/0.82 inference(scs_inference,[],[1,6,66,78,7,8,2,3,4,11,14,15,41,18,19,62,61,60,26,22,16,54,58,57,20,27,24])).
% 0.64/0.82 cnf(94,plain,
% 0.64/0.82 (~P11(x941,x942)+P10(x941,f4(x942))+~P11(x941,f4(x942))),
% 0.64/0.82 inference(scs_inference,[],[1,6,66,78,7,8,9,2,3,4,11,14,15,41,18,19,62,61,60,26,22,16,54,58,57,20,27,24,37])).
% 0.64/0.82 cnf(96,plain,
% 0.64/0.82 (P8(a2,f6(a2,a3))+P3(f6(a2,a3),a2,a3)+P8(a3,f4(f6(a2,a3)))+P8(a2,f4(f6(a2,a3)))),
% 0.64/0.82 inference(scs_inference,[],[1,6,66,78,7,8,5,9,2,3,4,11,14,15,41,18,19,62,61,60,26,22,16,54,58,57,20,27,24,37,56])).
% 0.64/0.82 cnf(101,plain,
% 0.64/0.82 (P11(a1,f4(a1))),
% 0.64/0.82 inference(scs_inference,[],[1,14,6,92,24,22])).
% 0.64/0.82 cnf(115,plain,
% 0.64/0.82 (P3(f6(a2,a3),a2,a3)+P8(a3,f4(f6(a2,a3)))+P8(a2,f6(a2,a3))),
% 0.64/0.82 inference(scs_inference,[],[5,96])).
% 0.64/0.82 cnf(119,plain,
% 0.64/0.82 (P3(f6(a2,a3),a2,a3)+P8(a2,f6(a2,a3))),
% 0.64/0.82 inference(scs_inference,[],[5,6,80,22,115])).
% 0.64/0.82 cnf(128,plain,
% 0.64/0.82 (P11(f4(a1),a1)),
% 0.64/0.82 inference(scs_inference,[],[5,6,80,1,119,22])).
% 0.64/0.82 cnf(131,plain,
% 0.64/0.82 (P1(f4(f4(a1)))),
% 0.64/0.82 inference(scs_inference,[],[80,16])).
% 0.64/0.82 cnf(135,plain,
% 0.64/0.82 (~P11(a1,f6(a3,a2))),
% 0.64/0.82 inference(scs_inference,[],[15,4,80,16,19,54])).
% 0.64/0.82 cnf(147,plain,
% 0.64/0.82 (P11(f4(f4(a1)),f4(a1))),
% 0.64/0.82 inference(scs_inference,[],[14,6,131,92,80,24,22])).
% 0.64/0.82 cnf(153,plain,
% 0.64/0.82 (P11(f4(a1),f6(a2,a3))),
% 0.64/0.82 inference(scs_inference,[],[9,82,147,101,94,24])).
% 0.64/0.82 cnf(155,plain,
% 0.64/0.82 (~P3(f4(a1),a2,a3)),
% 0.64/0.82 inference(scs_inference,[],[9,82,147,101,94,24,54])).
% 0.64/0.82 cnf(171,plain,
% 0.64/0.82 (P11(f4(a1),f4(f6(a3,a2)))),
% 0.64/0.82 inference(scs_inference,[],[9,15,153,155,59,62,94,24])).
% 0.64/0.82 cnf(185,plain,
% 0.64/0.82 (~P11(f4(a1),f6(a3,a2))),
% 0.64/0.82 inference(scs_inference,[],[9,171,94])).
% 0.64/0.82 cnf(239,plain,
% 0.64/0.82 ($false),
% 0.64/0.82 inference(scs_inference,[],[128,185,135,24]),
% 0.64/0.82 ['proof']).
% 0.64/0.82 % SZS output end Proof
% 0.64/0.82 % Total time :0.130000s
%------------------------------------------------------------------------------