TSTP Solution File: GEO233+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO233+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 : n013.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 0.41s 0.65s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:05:16 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.41/0.65 %-------------------------------------------
% 0.41/0.65 % File :CSE---1.6
% 0.41/0.65 % Problem :theBenchmark
% 0.41/0.65 % Transform :cnf
% 0.41/0.65 % Format :tptp:raw
% 0.41/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.41/0.65
% 0.41/0.65 % Result :Theorem 0.020000s
% 0.41/0.65 % Output :CNFRefutation 0.020000s
% 0.41/0.65 %-------------------------------------------
% 0.41/0.65 %------------------------------------------------------------------------------
% 0.41/0.65 % File : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.41/0.65 % Domain : Geometry (Constructive)
% 0.41/0.65 % Problem : Reverse is idempotent for direction
% 0.41/0.65 % Version : [vPl98] axioms : Especial.
% 0.41/0.65 % English :
% 0.41/0.65
% 0.41/0.65 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.41/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.41/0.65 % Source : [ILTP]
% 0.41/0.65 % Names : Therorem 3.7 [vPl98]
% 0.41/0.65
% 0.41/0.65 % Status : Theorem
% 0.41/0.65 % 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
% 0.41/0.65 % Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% 0.41/0.65 % Number of atoms : 103 ( 0 equ)
% 0.41/0.65 % Maximal formula atoms : 10 ( 3 avg)
% 0.41/0.65 % Number of connectives : 88 ( 17 ~; 24 |; 25 &)
% 0.41/0.65 % ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% 0.41/0.65 % Maximal formula depth : 13 ( 6 avg)
% 0.41/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.41/0.65 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.41/0.65 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.41/0.65 % Number of variables : 72 ( 72 !; 0 ?)
% 0.41/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.41/0.65
% 0.41/0.65 % Comments : Definitions unfolded, hence Especial.
% 0.41/0.65 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.41/0.65 %------------------------------------------------------------------------------
% 0.41/0.65 include('Axioms/GEO007+0.ax').
% 0.41/0.65 %------------------------------------------------------------------------------
% 0.41/0.65 fof(con,conjecture,
% 0.41/0.65 ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L) ).
% 0.41/0.65
% 0.41/0.65 %------------------------------------------------------------------------------
% 0.41/0.65 %-------------------------------------------
% 0.41/0.65 % Proof found
% 0.41/0.65 % SZS status Theorem for theBenchmark
% 0.41/0.65 % SZS output start Proof
% 0.41/0.65 %ClaNum:59(EqnAxiom:0)
% 0.41/0.65 %VarNum:269(SingletonVarNum:105)
% 0.41/0.65 %MaxLitNum:10
% 0.41/0.65 %MaxfuncDepth:2
% 0.41/0.65 %SharedTerms:4
% 0.41/0.65 %goalClause: 1
% 0.41/0.65 %singleGoalClaCount:1
% 0.41/0.65 [1]P1(f2(f2(a1)),a1)
% 0.41/0.65 [3]~P1(x31,x31)
% 0.41/0.65 [4]~P3(x41,x41)
% 0.41/0.65 [5]~P4(x51,x51)
% 0.41/0.65 [8]~P4(x81,f2(x81))
% 0.41/0.65 [2]~P2(x21,x22)
% 0.41/0.65 [6]~P10(x61,x62)
% 0.41/0.65 [10]~P5(x101,f3(x102,x101))
% 0.41/0.65 [11]~P1(f3(x111,x112),x111)
% 0.41/0.65 [12]~P1(f4(x121,x122),f2(f4(x122,x121)))
% 0.41/0.65 [13]~P11(x131)+P11(f2(x131))
% 0.41/0.65 [15]~P6(x151,x152)+P1(x151,x152)
% 0.41/0.65 [16]~P6(x161,x162)+P1(x161,f2(x162))
% 0.41/0.65 [30]~P3(x301,x302)+~P5(x302,f4(x301,x302))
% 0.41/0.65 [31]~P3(x311,x312)+~P5(x311,f4(x311,x312))
% 0.41/0.66 [38]P3(x381,x382)+~P7(x383,x381,x382)
% 0.41/0.66 [51]~P7(x511,x512,x513)+~P1(x511,f4(x512,x513))
% 0.41/0.66 [17]~P11(x171)+~P12(x172)+P11(f3(x171,x172))
% 0.41/0.66 [25]~P5(x251,x252)+P2(x251,x252)+P2(x251,f2(x252))
% 0.41/0.66 [27]~P1(x271,x272)+P6(x271,x272)+~P1(x271,f2(x272))
% 0.41/0.66 [46]~P1(x461,x462)+~P1(x461,f2(x462))+~P5(f5(x461,x462),x462)
% 0.41/0.66 [47]~P1(x471,x472)+~P1(x471,f2(x472))+~P5(f5(x471,x472),x471)
% 0.41/0.66 [21]~P1(x213,x211)+P1(x211,x212)+P1(x213,x212)
% 0.41/0.66 [23]~P3(x233,x231)+P3(x231,x232)+P3(x233,x232)
% 0.41/0.66 [24]~P4(x243,x241)+P4(x241,x242)+P4(x243,x242)
% 0.41/0.66 [43]~P9(x432,x431,x433)+P2(x431,x432)+P2(x433,x432)
% 0.41/0.66 [48]P2(x481,x482)+~P9(x482,x483,x481)+P2(x481,f2(x482))
% 0.41/0.66 [49]P2(x491,x492)+~P9(x492,x491,x493)+P2(x491,f2(x492))
% 0.41/0.66 [50]~P9(x502,x503,x501)+P2(x501,f2(x502))+P2(x503,f2(x502))
% 0.41/0.66 [54]~P7(x541,x543,x542)+~P7(x541,x544,x543)+P8(x541,x542,x543,x544)
% 0.41/0.66 [55]~P7(x551,x553,x554)+~P7(x551,x552,x553)+P8(x551,x552,x553,x554)
% 0.41/0.66 [56]~P8(x561,x562,x563,x564)+P7(x561,x562,x563)+P7(x561,x564,x563)
% 0.41/0.66 [57]P7(x571,x573,x572)+P7(x571,x572,x573)+~P8(x571,x574,x572,x573)
% 0.41/0.66 [58]P7(x581,x583,x582)+P7(x581,x582,x583)+~P8(x581,x582,x583,x584)
% 0.41/0.66 [59]~P8(x591,x594,x592,x593)+P7(x591,x592,x593)+P7(x591,x592,x594)
% 0.41/0.66 [19]~P11(x192)+~P11(x191)+P1(x191,x192)+P1(x191,f2(x192))
% 0.41/0.66 [26]~P12(x262)+~P12(x261)+~P3(x261,x262)+P11(f4(x261,x262))
% 0.41/0.66 [34]~P1(x341,x342)+P10(x341,x342)+P10(x341,f2(x342))+~P1(x341,f2(x342))
% 0.41/0.66 [32]~P1(x321,x323)+P1(x321,x322)+~P1(x321,f2(x323))+P1(x323,f2(x322))
% 0.41/0.66 [33]~P1(x333,x331)+P1(x331,x332)+~P1(x333,f2(x331))+P1(x333,f2(x332))
% 0.41/0.66 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+~P1(x361,f2(x362))+P12(f5(x361,x362))
% 0.41/0.66 [53]P7(x532,x533,x531)+~P3(x533,x531)+P2(x531,x532)+P2(x533,x532)+P2(x531,f2(x532))+P2(x533,f2(x532))+P1(x532,f4(x533,x531))
% 0.41/0.66 [52]P2(x524,x523)+~P3(x524,x521)+~P4(x523,x522)+P2(x521,x522)+P2(x521,x523)+P2(x524,x522)+P2(x521,f2(x522))+P2(x521,f2(x523))+P2(x524,f2(x522))+P2(x524,f2(x523))
% 0.41/0.66 %EqnAxiom
% 0.41/0.66
% 0.41/0.66 %-------------------------------------------
% 0.41/0.66 cnf(63,plain,
% 0.41/0.66 (~P1(x631,x631)),
% 0.41/0.66 inference(rename_variables,[],[3])).
% 0.41/0.66 cnf(71,plain,
% 0.41/0.66 (P1(a1,f2(f2(a1)))),
% 0.41/0.66 inference(scs_inference,[],[1,3,63,4,38,15,16,59,58,57,21])).
% 0.41/0.66 cnf(72,plain,
% 0.41/0.66 (~P1(x721,x721)),
% 0.41/0.66 inference(rename_variables,[],[3])).
% 0.41/0.66 cnf(76,plain,
% 0.41/0.66 (~P1(x761,x761)),
% 0.41/0.66 inference(rename_variables,[],[3])).
% 0.41/0.66 cnf(79,plain,
% 0.41/0.66 (~P1(x791,x791)),
% 0.41/0.66 inference(rename_variables,[],[3])).
% 0.41/0.66 cnf(88,plain,
% 0.41/0.66 (P1(f2(a1),f2(a1))+~P1(f2(f2(a1)),f2(a1))),
% 0.41/0.66 inference(scs_inference,[],[1,3,63,72,76,79,4,5,6,8,12,38,15,16,59,58,57,21,19,33,34,24,27,32])).
% 0.41/0.66 cnf(95,plain,
% 0.41/0.66 (P1(a1,f2(a1))),
% 0.41/0.66 inference(scs_inference,[],[3,71,88,21])).
% 0.41/0.66 cnf(102,plain,
% 0.41/0.66 (P10(a1,f2(f2(a1)))),
% 0.41/0.66 inference(scs_inference,[],[6,95,71,34])).
% 0.41/0.66 cnf(113,plain,
% 0.41/0.66 ($false),
% 0.41/0.66 inference(scs_inference,[],[102,6]),
% 0.41/0.66 ['proof']).
% 0.41/0.66 % SZS output end Proof
% 0.41/0.66 % Total time :0.020000s
%------------------------------------------------------------------------------