TSTP Solution File: GEO231+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 22:43:54 EDT 2023
% Result : Theorem 0.62s 0.85s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:09:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.62/0.84 %-------------------------------------------
% 0.62/0.84 % File :CSE---1.6
% 0.62/0.84 % Problem :theBenchmark
% 0.62/0.84 % Transform :cnf
% 0.62/0.84 % Format :tptp:raw
% 0.62/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.62/0.84
% 0.62/0.84 % Result :Theorem 0.190000s
% 0.62/0.84 % Output :CNFRefutation 0.190000s
% 0.62/0.84 %-------------------------------------------
% 0.62/0.85 %------------------------------------------------------------------------------
% 0.62/0.85 % File : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.62/0.85 % Domain : Geometry (Constructive)
% 0.62/0.85 % Problem : Oppositely and equally directed lines
% 0.62/0.85 % Version : [vPl98] axioms : Especial.
% 0.62/0.85 % English :
% 0.62/0.85
% 0.62/0.85 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.62/0.85 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.62/0.85 % Source : [ILTP]
% 0.62/0.85 % Names : Therorem 3.5 [vPl98]
% 0.62/0.85
% 0.62/0.85 % Status : Theorem
% 0.62/0.85 % Rating : 0.00 v6.4.0
% 0.62/0.85 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.62/0.85 % Number of atoms : 105 ( 0 equ)
% 0.62/0.85 % Maximal formula atoms : 10 ( 3 avg)
% 0.62/0.85 % Number of connectives : 92 ( 19 ~; 24 |; 26 &)
% 0.62/0.85 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.62/0.85 % Maximal formula depth : 13 ( 6 avg)
% 0.62/0.85 % Maximal term depth : 3 ( 1 avg)
% 0.62/0.85 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.62/0.85 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.62/0.85 % Number of variables : 74 ( 74 !; 0 ?)
% 0.62/0.85 % SPC : FOF_THM_RFO_NEQ
% 0.62/0.85
% 0.62/0.85 % Comments : Definitions unfolded, hence Especial.
% 0.62/0.85 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.62/0.85 %------------------------------------------------------------------------------
% 0.62/0.85 include('Axioms/GEO007+0.ax').
% 0.62/0.85 %------------------------------------------------------------------------------
% 0.62/0.85 fof(con,conjecture,
% 0.62/0.85 ! [L,M,N] :
% 0.62/0.85 ( ( ~ unequally_directed_lines(L,reverse_line(M))
% 0.62/0.85 & ~ unequally_directed_lines(L,N) )
% 0.62/0.85 => ~ unequally_directed_lines(M,reverse_line(N)) ) ).
% 0.62/0.85
% 0.62/0.85 %------------------------------------------------------------------------------
% 0.62/0.85 %-------------------------------------------
% 0.62/0.85 % Proof found
% 0.62/0.85 % SZS status Theorem for theBenchmark
% 0.62/0.85 % SZS output start Proof
% 0.62/0.85 %ClaNum:61(EqnAxiom:0)
% 0.62/0.85 %VarNum:269(SingletonVarNum:105)
% 0.62/0.85 %MaxLitNum:10
% 0.62/0.85 %MaxfuncDepth:2
% 0.62/0.85 %SharedTerms:8
% 0.62/0.85 %goalClause: 1 2 8
% 0.62/0.85 %singleGoalClaCount:3
% 0.62/0.85 [2]~P1(a2,a3)
% 0.62/0.85 [1]P1(a1,f4(a3))
% 0.62/0.85 [8]~P1(a2,f4(a1))
% 0.62/0.85 [4]~P1(x41,x41)
% 0.62/0.85 [5]~P3(x51,x51)
% 0.62/0.85 [6]~P4(x61,x61)
% 0.62/0.85 [10]~P4(x101,f4(x101))
% 0.62/0.85 [3]~P2(x31,x32)
% 0.62/0.85 [7]~P10(x71,x72)
% 0.62/0.85 [12]~P5(x121,f5(x122,x121))
% 0.62/0.85 [13]~P1(f5(x131,x132),x131)
% 0.62/0.85 [14]~P1(f6(x141,x142),f4(f6(x142,x141)))
% 0.62/0.85 [15]~P11(x151)+P11(f4(x151))
% 0.62/0.85 [17]~P6(x171,x172)+P1(x171,x172)
% 0.62/0.85 [18]~P6(x181,x182)+P1(x181,f4(x182))
% 0.62/0.85 [32]~P3(x321,x322)+~P5(x322,f6(x321,x322))
% 0.62/0.85 [33]~P3(x331,x332)+~P5(x331,f6(x331,x332))
% 0.62/0.85 [40]P3(x401,x402)+~P7(x403,x401,x402)
% 0.62/0.85 [53]~P7(x531,x532,x533)+~P1(x531,f6(x532,x533))
% 0.62/0.85 [19]~P11(x191)+~P12(x192)+P11(f5(x191,x192))
% 0.62/0.85 [27]~P5(x271,x272)+P2(x271,x272)+P2(x271,f4(x272))
% 0.62/0.85 [29]~P1(x291,x292)+P6(x291,x292)+~P1(x291,f4(x292))
% 0.62/0.85 [48]~P1(x481,x482)+~P1(x481,f4(x482))+~P5(f7(x481,x482),x482)
% 0.62/0.85 [49]~P1(x491,x492)+~P1(x491,f4(x492))+~P5(f7(x491,x492),x491)
% 0.62/0.85 [23]~P1(x233,x231)+P1(x231,x232)+P1(x233,x232)
% 0.62/0.85 [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 0.62/0.85 [26]~P4(x263,x261)+P4(x261,x262)+P4(x263,x262)
% 0.62/0.85 [45]~P9(x452,x451,x453)+P2(x451,x452)+P2(x453,x452)
% 0.62/0.85 [50]P2(x501,x502)+~P9(x502,x503,x501)+P2(x501,f4(x502))
% 0.62/0.85 [51]P2(x511,x512)+~P9(x512,x511,x513)+P2(x511,f4(x512))
% 0.62/0.85 [52]~P9(x522,x523,x521)+P2(x521,f4(x522))+P2(x523,f4(x522))
% 0.62/0.85 [56]~P7(x561,x563,x562)+~P7(x561,x564,x563)+P8(x561,x562,x563,x564)
% 0.62/0.85 [57]~P7(x571,x573,x574)+~P7(x571,x572,x573)+P8(x571,x572,x573,x574)
% 0.62/0.85 [58]~P8(x581,x582,x583,x584)+P7(x581,x582,x583)+P7(x581,x584,x583)
% 0.62/0.85 [59]P7(x591,x593,x592)+P7(x591,x592,x593)+~P8(x591,x594,x592,x593)
% 0.62/0.85 [60]P7(x601,x603,x602)+P7(x601,x602,x603)+~P8(x601,x602,x603,x604)
% 0.62/0.85 [61]~P8(x611,x614,x612,x613)+P7(x611,x612,x613)+P7(x611,x612,x614)
% 0.62/0.85 [21]~P11(x212)+~P11(x211)+P1(x211,x212)+P1(x211,f4(x212))
% 0.62/0.85 [28]~P12(x282)+~P12(x281)+~P3(x281,x282)+P11(f6(x281,x282))
% 0.62/0.85 [36]~P1(x361,x362)+P10(x361,x362)+P10(x361,f4(x362))+~P1(x361,f4(x362))
% 0.62/0.85 [34]~P1(x341,x343)+P1(x341,x342)+~P1(x341,f4(x343))+P1(x343,f4(x342))
% 0.62/0.85 [35]~P1(x353,x351)+P1(x351,x352)+~P1(x353,f4(x351))+P1(x353,f4(x352))
% 0.62/0.85 [38]~P11(x382)+~P11(x381)+~P1(x381,x382)+~P1(x381,f4(x382))+P12(f7(x381,x382))
% 0.62/0.85 [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))
% 0.62/0.85 [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))
% 0.62/0.85 %EqnAxiom
% 0.62/0.85
% 0.62/0.85 %-------------------------------------------
% 0.62/0.85 cnf(65,plain,
% 0.62/0.85 (~P1(x651,x651)),
% 0.62/0.85 inference(rename_variables,[],[4])).
% 0.62/0.85 cnf(73,plain,
% 0.62/0.85 (P1(f4(a3),a1)),
% 0.62/0.85 inference(scs_inference,[],[1,4,65,5,40,17,18,61,60,59,23])).
% 0.62/0.85 cnf(74,plain,
% 0.62/0.85 (~P1(x741,x741)),
% 0.62/0.85 inference(rename_variables,[],[4])).
% 0.62/0.85 cnf(78,plain,
% 0.62/0.85 (~P1(x781,x781)),
% 0.62/0.85 inference(rename_variables,[],[4])).
% 0.62/0.85 cnf(83,plain,
% 0.62/0.85 (P10(a1,f4(a3))+~P1(f4(a3),f4(a1))),
% 0.62/0.85 inference(scs_inference,[],[1,4,65,74,78,5,7,14,40,17,18,61,60,59,23,21,35,36])).
% 0.62/0.85 cnf(96,plain,
% 0.62/0.85 (~P1(f4(a3),f4(a1))),
% 0.62/0.85 inference(scs_inference,[],[7,83])).
% 0.62/0.85 cnf(97,plain,
% 0.62/0.85 (~P10(x971,x972)),
% 0.62/0.85 inference(rename_variables,[],[7])).
% 0.62/0.85 cnf(98,plain,
% 0.62/0.85 (~P1(a2,f5(a3,x981))),
% 0.62/0.85 inference(scs_inference,[],[2,13,7,83,23])).
% 0.62/0.85 cnf(99,plain,
% 0.62/0.85 (~P1(f5(x991,x992),x991)),
% 0.62/0.85 inference(rename_variables,[],[13])).
% 0.62/0.85 cnf(104,plain,
% 0.62/0.85 (P6(a1,a3)+~P1(a1,a3)),
% 0.62/0.85 inference(scs_inference,[],[1,2,13,99,7,83,23,35,29])).
% 0.62/0.85 cnf(109,plain,
% 0.62/0.85 (P10(a1,f4(a3))+~P1(a1,f4(f4(a3)))),
% 0.62/0.85 inference(scs_inference,[],[1,2,13,99,7,97,4,83,23,35,29,34,36])).
% 0.62/0.86 cnf(113,plain,
% 0.62/0.86 (~P1(a1,f4(f4(a3)))),
% 0.62/0.86 inference(scs_inference,[],[7,109])).
% 0.62/0.86 cnf(136,plain,
% 0.62/0.86 (P1(a1,f4(a1))),
% 0.62/0.86 inference(scs_inference,[],[96,1,23])).
% 0.62/0.86 cnf(147,plain,
% 0.62/0.86 (P1(f4(a1),a1)),
% 0.62/0.86 inference(scs_inference,[],[4,136,23])).
% 0.62/0.86 cnf(159,plain,
% 0.62/0.86 (~P1(x1591,f5(x1591,x1592))),
% 0.62/0.86 inference(scs_inference,[],[4,14,13,18,23])).
% 0.62/0.86 cnf(166,plain,
% 0.62/0.86 (P1(a1,f5(f4(a1),x1661))),
% 0.62/0.86 inference(scs_inference,[],[159,147,23])).
% 0.62/0.86 cnf(174,plain,
% 0.62/0.86 (~P1(a1,a3)+P10(a1,f4(a3))),
% 0.62/0.86 inference(scs_inference,[],[14,7,113,73,1,17,23,36])).
% 0.62/0.86 cnf(177,plain,
% 0.62/0.86 (~P6(a1,a3)),
% 0.62/0.86 inference(scs_inference,[],[7,174,17])).
% 0.62/0.86 cnf(178,plain,
% 0.62/0.86 (~P1(a1,a3)),
% 0.62/0.86 inference(scs_inference,[],[177,104])).
% 0.62/0.86 cnf(179,plain,
% 0.62/0.86 (~P1(a1,a3)),
% 0.62/0.86 inference(scs_inference,[],[7,174])).
% 0.62/0.86 cnf(189,plain,
% 0.62/0.86 (P10(f5(f4(a1),x1891),a3)+~P1(f5(f4(a1),x1891),f4(a3))),
% 0.62/0.86 inference(scs_inference,[],[7,13,178,166,23,18,36])).
% 0.62/0.86 cnf(200,plain,
% 0.62/0.86 (P1(f4(a3),a3)),
% 0.62/0.86 inference(scs_inference,[],[73,7,179,189,23])).
% 0.62/0.86 cnf(255,plain,
% 0.62/0.86 (~P1(a3,a2)),
% 0.62/0.86 inference(scs_inference,[],[98,159,17,23])).
% 0.62/0.86 cnf(291,plain,
% 0.62/0.86 (P1(f4(a3),a2)),
% 0.62/0.86 inference(scs_inference,[],[255,200,23])).
% 0.62/0.86 cnf(303,plain,
% 0.62/0.86 ($false),
% 0.62/0.86 inference(scs_inference,[],[96,291,8,23]),
% 0.62/0.86 ['proof']).
% 0.62/0.86 % SZS output end Proof
% 0.62/0.86 % Total time :0.190000s
%------------------------------------------------------------------------------