%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO231+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 : n024.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 06:04:46 EDT 2024
% Result : Theorem 58.85s 58.90s
% Output : CNFRefutation 58.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO231+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 07:48:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 58.83/58.88 %-------------------------------------------
% 58.83/58.88 % File :CSE---1.7
% 58.83/58.88 % Problem :theBenchmark
% 58.83/58.88 % Transform :cnf
% 58.83/58.88 % Format :tptp:raw
% 58.83/58.88 % Command :java -jar mcs_scs.jar %d %s
% 58.83/58.88
% 58.83/58.88 % Result :Theorem 58.260000s
% 58.83/58.88 % Output :CNFRefutation 58.260000s
% 58.83/58.88 %-------------------------------------------
% 58.85/58.89 %------------------------------------------------------------------------------
% 58.85/58.89 % File : GEO231+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 58.85/58.89 % Domain : Geometry (Constructive)
% 58.85/58.89 % Problem : Oppositely and equally directed lines
% 58.85/58.89 % Version : [vPl98] axioms : Especial.
% 58.85/58.89 % English :
% 58.85/58.89
% 58.85/58.89 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 58.85/58.89 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.85/58.89 % Source : [ILTP]
% 58.85/58.89 % Names : Therorem 3.5 [vPl98]
% 58.85/58.89
% 58.85/58.89 % Status : Theorem
% 58.85/58.89 % Rating : 0.00 v6.4.0
% 58.85/58.89 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 58.85/58.89 % Number of atoms : 105 ( 0 equ)
% 58.85/58.89 % Maximal formula atoms : 10 ( 3 avg)
% 58.85/58.89 % Number of connectives : 92 ( 19 ~; 24 |; 26 &)
% 58.85/58.89 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 58.85/58.89 % Maximal formula depth : 13 ( 6 avg)
% 58.85/58.89 % Maximal term depth : 3 ( 1 avg)
% 58.85/58.89 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 58.85/58.89 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 58.85/58.89 % Number of variables : 74 ( 74 !; 0 ?)
% 58.85/58.89 % SPC : FOF_THM_RFO_NEQ
% 58.85/58.89
% 58.85/58.89 % Comments : Definitions unfolded, hence Especial.
% 58.85/58.89 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 58.85/58.89 %------------------------------------------------------------------------------
% 58.85/58.89 include('Axioms/GEO007+0.ax').
% 58.85/58.89 %------------------------------------------------------------------------------
% 58.85/58.89 fof(con,conjecture,
% 58.85/58.89 ! [L,M,N] :
% 58.85/58.89 ( ( ~ unequally_directed_lines(L,reverse_line(M))
% 58.85/58.89 & ~ unequally_directed_lines(L,N) )
% 58.85/58.89 => ~ unequally_directed_lines(M,reverse_line(N)) ) ).
% 58.85/58.89
% 58.85/58.89 %------------------------------------------------------------------------------
% 58.85/58.90 %-------------------------------------------
% 58.85/58.90 % Proof found
% 58.85/58.90 % SZS status Theorem for theBenchmark
% 58.85/58.90 % SZS output start Proof
% 58.85/58.90 %ClaNum:61(EqnAxiom:0)
% 58.85/58.90 %VarNum:269(SingletonVarNum:105)
% 58.85/58.90 %MaxLitNum:10
% 58.85/58.90 %MaxfuncDepth:2
% 58.85/58.90 %SharedTerms:8
% 58.85/58.90 %goalClause: 1 2 8
% 58.85/58.90 %singleGoalClaCount:3
% 58.85/58.90 [2]~P1(a2,a3)
% 58.85/58.90 [1]P1(a1,f4(a3))
% 58.85/58.90 [8]~P1(a2,f4(a1))
% 58.85/58.90 [4]~P1(x41,x41)
% 58.85/58.90 [5]~P3(x51,x51)
% 58.85/58.90 [6]~P4(x61,x61)
% 58.85/58.91 [10]~P4(x101,f4(x101))
% 58.85/58.91 [3]~P2(x31,x32)
% 58.85/58.91 [7]~P10(x71,x72)
% 58.85/58.91 [12]~P5(x121,f5(x122,x121))
% 58.85/58.91 [13]~P1(f5(x131,x132),x131)
% 58.85/58.91 [14]~P1(f6(x141,x142),f4(f6(x142,x141)))
% 58.85/58.91 [15]~P11(x151)+P11(f4(x151))
% 58.85/58.91 [17]~P6(x171,x172)+P1(x171,x172)
% 58.85/58.91 [18]~P6(x181,x182)+P1(x181,f4(x182))
% 58.85/58.91 [32]~P3(x321,x322)+~P5(x322,f6(x321,x322))
% 58.85/58.91 [33]~P3(x331,x332)+~P5(x331,f6(x331,x332))
% 58.85/58.91 [40]P3(x401,x402)+~P7(x403,x401,x402)
% 58.85/58.91 [53]~P7(x531,x532,x533)+~P1(x531,f6(x532,x533))
% 58.85/58.91 [19]~P11(x191)+~P12(x192)+P11(f5(x191,x192))
% 58.85/58.91 [27]~P5(x271,x272)+P2(x271,x272)+P2(x271,f4(x272))
% 58.85/58.91 [29]~P1(x291,x292)+P6(x291,x292)+~P1(x291,f4(x292))
% 58.85/58.91 [48]~P1(x481,x482)+~P1(x481,f4(x482))+~P5(f7(x481,x482),x482)
% 58.85/58.91 [49]~P1(x491,x492)+~P1(x491,f4(x492))+~P5(f7(x491,x492),x491)
% 58.85/58.91 [23]~P1(x233,x231)+P1(x231,x232)+P1(x233,x232)
% 58.85/58.91 [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 58.85/58.91 [26]~P4(x263,x261)+P4(x261,x262)+P4(x263,x262)
% 58.85/58.91 [45]~P9(x452,x451,x453)+P2(x451,x452)+P2(x453,x452)
% 58.85/58.91 [50]P2(x501,x502)+~P9(x502,x503,x501)+P2(x501,f4(x502))
% 58.85/58.91 [51]P2(x511,x512)+~P9(x512,x511,x513)+P2(x511,f4(x512))
% 58.85/58.91 [52]~P9(x522,x523,x521)+P2(x521,f4(x522))+P2(x523,f4(x522))
% 58.85/58.91 [56]~P7(x561,x563,x562)+~P7(x561,x564,x563)+P8(x561,x562,x563,x564)
% 58.85/58.91 [57]~P7(x571,x573,x574)+~P7(x571,x572,x573)+P8(x571,x572,x573,x574)
% 58.85/58.91 [58]~P8(x581,x582,x583,x584)+P7(x581,x582,x583)+P7(x581,x584,x583)
% 58.85/58.91 [59]P7(x591,x593,x592)+P7(x591,x592,x593)+~P8(x591,x594,x592,x593)
% 58.85/58.91 [60]P7(x601,x603,x602)+P7(x601,x602,x603)+~P8(x601,x602,x603,x604)
% 58.85/58.91 [61]~P8(x611,x614,x612,x613)+P7(x611,x612,x613)+P7(x611,x612,x614)
% 58.85/58.91 [21]~P11(x212)+~P11(x211)+P1(x211,x212)+P1(x211,f4(x212))
% 58.85/58.91 [28]~P12(x282)+~P12(x281)+~P3(x281,x282)+P11(f6(x281,x282))
% 58.85/58.91 [36]~P1(x361,x362)+P10(x361,x362)+P10(x361,f4(x362))+~P1(x361,f4(x362))
% 58.85/58.91 [34]~P1(x341,x343)+P1(x341,x342)+~P1(x341,f4(x343))+P1(x343,f4(x342))
% 58.85/58.91 [35]~P1(x353,x351)+P1(x351,x352)+~P1(x353,f4(x351))+P1(x353,f4(x352))
% 58.85/58.91 [38]~P11(x382)+~P11(x381)+~P1(x381,x382)+~P1(x381,f4(x382))+P12(f7(x381,x382))
% 58.85/58.91 [55]P7(x552,x553,x551)+~P3(x553,x551)+P2(x551,x552)+P2(x553,x552)+P2(x551,f4(x552))+P2(x553,f4(x552))+P1(x552,f6(x553,x551))
% 58.85/58.91 [54]P2(x544,x543)+~P3(x544,x541)+~P4(x543,x542)+P2(x541,x542)+P2(x541,x543)+P2(x544,x542)+P2(x541,f4(x542))+P2(x541,f4(x543))+P2(x544,f4(x542))+P2(x544,f4(x543))
% 58.85/58.91 %EqnAxiom
% 58.85/58.91
% 58.85/58.91 %-------------------------------------------
% 58.91/58.95 cnf(68,plain,
% 58.91/58.95 (P1(f4(a3),a1)),
% 58.91/58.95 inference(scs_inference,[],[1,2,8,4,5,17,18,40,23])).
% 58.91/58.95 cnf(93,plain,
% 58.91/58.95 (~P1(f5(x931,x932),x931)),
% 58.91/58.95 inference(rename_variables,[],[13])).
% 58.91/58.95 cnf(97,plain,
% 58.91/58.95 (~P1(f5(a3,x971),a2)),
% 58.91/58.95 inference(scs_inference,[],[2,8,13,93,18,17,23])).
% 58.91/58.95 cnf(100,plain,
% 58.91/58.95 (P10(a1,a3)+~P1(a1,a3)),
% 58.91/58.95 inference(scs_inference,[],[1,2,8,13,93,7,18,17,23,36])).
% 58.91/58.95 cnf(114,plain,
% 58.91/58.95 (P1(f4(a3),a3)),
% 58.91/58.95 inference(scs_inference,[],[1,97,4,7,100,17,18,23])).
% 58.91/58.95 cnf(1019,plain,
% 58.91/58.95 (~P1(f5(f4(a1),x10191),a2)),
% 58.91/58.95 inference(scs_inference,[],[8,13,23])).
% 58.91/58.95 cnf(3208,plain,
% 58.91/58.95 (P10(a1,f4(a3))+~P6(a1,f4(a3))),
% 58.91/58.95 inference(scs_inference,[],[7,1,18,36])).
% 58.91/58.95 cnf(3209,plain,
% 58.91/58.95 (~P6(a1,f4(a3))),
% 58.91/58.95 inference(scs_inference,[],[7,3208])).
% 58.91/58.95 cnf(9457,plain,
% 58.91/58.95 (~P1(f5(a2,x94571),f5(a3,x94572))),
% 58.91/58.95 inference(scs_inference,[],[97,13,23])).
% 58.91/58.95 cnf(34293,plain,
% 58.91/58.95 (~P1(f5(a2,x342931),f5(f4(a1),x342932))),
% 58.91/58.95 inference(scs_inference,[],[1019,13,23])).
% 58.91/58.95 cnf(38397,plain,
% 58.91/58.95 (~P1(f5(f5(a3,x383971),x383972),f5(a2,x383973))),
% 58.91/58.95 inference(scs_inference,[],[9457,13,23])).
% 58.91/58.95 cnf(85094,plain,
% 58.91/58.95 (~P1(f4(a3),f4(a1))),
% 58.91/58.95 inference(scs_inference,[],[1,3209,68,4,29,34])).
% 58.91/58.95 cnf(85241,plain,
% 58.91/58.95 (~P1(x852411,f5(x852411,x852412))),
% 58.91/58.95 inference(scs_inference,[],[4,13,23])).
% 58.91/58.95 cnf(85266,plain,
% 58.91/58.95 (P1(f4(a3),f5(a3,x852661))),
% 58.91/58.95 inference(scs_inference,[],[85241,114,23])).
% 58.91/58.95 cnf(85278,plain,
% 58.91/58.95 (P1(f4(a3),f5(f5(a3,x852781),x852782))),
% 58.91/58.95 inference(scs_inference,[],[85266,85241,23])).
% 58.91/58.95 cnf(85285,plain,
% 58.91/58.95 (P1(f4(a3),f5(a2,x852851))),
% 58.91/58.95 inference(scs_inference,[],[85278,38397,23])).
% 58.91/58.95 cnf(85299,plain,
% 58.91/58.95 (P1(f4(a3),f5(f4(a1),x852991))),
% 58.91/58.95 inference(scs_inference,[],[85285,34293,23])).
% 58.91/58.95 cnf(85310,plain,
% 58.91/58.95 (P1(f4(a3),a2)),
% 58.91/58.95 inference(scs_inference,[],[85299,1019,23])).
% 58.91/58.95 cnf(85371,plain,
% 58.91/58.95 ($false),
% 58.91/58.95 inference(scs_inference,[],[85310,85094,8,23]),
% 58.91/58.95 ['proof']).
% 58.94/59.00 % SZS output end Proof
% 58.94/59.00 % Total time :58.260000s
%------------------------------------------------------------------------------