TSTP Solution File: GEO199+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 22:43:36 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.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 23:55:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 % File :CSE---1.6
% 0.20/0.71 % Problem :theBenchmark
% 0.20/0.71 % Transform :cnf
% 0.20/0.71 % Format :tptp:raw
% 0.20/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.71
% 0.20/0.71 % Result :Theorem 0.080000s
% 0.20/0.71 % Output :CNFRefutation 0.080000s
% 0.20/0.71 %-------------------------------------------
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 % File : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.72 % Domain : Geometry (Constructive)
% 0.20/0.72 % Problem : Corollary to symmetry of incidence
% 0.20/0.72 % Version : [vPl95] axioms.
% 0.20/0.72 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 0.20/0.72 % intersection point of X and Y is incident with Z, then the
% 0.20/0.72 % intersection point of Y and X is incident with Z.
% 0.20/0.72
% 0.20/0.72 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.72 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.72 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.72 % Source : [Rat07]
% 0.20/0.72 % Names : Corollary 4.12.iii [vPl95]
% 0.20/0.72
% 0.20/0.72 % Status : Theorem
% 0.20/0.72 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.16 v4.0.0
% 0.20/0.72 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.20/0.72 % Number of atoms : 98 ( 0 equ)
% 0.20/0.72 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.72 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 0.20/0.72 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.20/0.72 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.72 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.72 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.72 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.20/0.72 % Number of variables : 84 ( 84 !; 0 ?)
% 0.20/0.72 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.72
% 0.20/0.72 % Comments :
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 include('Axioms/GEO006+0.ax').
% 0.20/0.72 include('Axioms/GEO006+1.ax').
% 0.20/0.72 include('Axioms/GEO006+2.ax').
% 0.20/0.72 include('Axioms/GEO006+3.ax').
% 0.20/0.72 include('Axioms/GEO006+4.ax').
% 0.20/0.72 include('Axioms/GEO006+5.ax').
% 0.20/0.72 include('Axioms/GEO006+6.ax').
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 fof(con,conjecture,
% 0.20/0.72 ! [X,Y,Z] :
% 0.20/0.72 ( ( convergent_lines(X,Y)
% 0.20/0.72 & convergent_lines(Z,Y)
% 0.20/0.72 & convergent_lines(X,Z)
% 0.20/0.72 & incident_point_and_line(intersection_point(X,Y),Z) )
% 0.20/0.72 => incident_point_and_line(intersection_point(Y,X),Z) ) ).
% 0.20/0.72
% 0.20/0.72 %------------------------------------------------------------------------------
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 % Proof found
% 0.20/0.72 % SZS status Theorem for theBenchmark
% 0.20/0.72 % SZS output start Proof
% 0.20/0.72 %ClaNum:51(EqnAxiom:0)
% 0.20/0.72 %VarNum:218(SingletonVarNum:98)
% 0.20/0.72 %MaxLitNum:6
% 0.20/0.72 %MaxfuncDepth:1
% 0.20/0.72 %SharedTerms:10
% 0.20/0.72 %goalClause: 1 2 3 4 8
% 0.20/0.72 %singleGoalClaCount:5
% 0.20/0.72 [1]P1(a1,a2)
% 0.20/0.72 [2]P1(a1,a3)
% 0.20/0.72 [3]P1(a3,a2)
% 0.20/0.72 [4]P3(f4(a1,a2),a3)
% 0.20/0.72 [8]~P3(f4(a2,a1),a3)
% 0.20/0.72 [5]~P4(x51,x51)
% 0.20/0.72 [6]~P5(x61,x61)
% 0.20/0.72 [7]~P1(x71,x71)
% 0.20/0.72 [9]~P2(x91,f5(x92,x91))
% 0.20/0.72 [10]~P2(x101,f6(x102,x101))
% 0.20/0.72 [11]~P1(f5(x111,x112),x111)
% 0.20/0.72 [12]~P8(f6(x121,x122),x121)
% 0.20/0.72 [13]P6(x131,x132)+P4(x131,x132)
% 0.20/0.72 [14]P7(x141,x142)+P5(x141,x142)
% 0.20/0.72 [16]P8(x161,x162)+P1(x161,x162)
% 0.20/0.72 [17]P9(x171,x172)+P1(x171,x172)
% 0.20/0.72 [18]P3(x181,x182)+P2(x181,x182)
% 0.20/0.72 [19]P10(x191,x192)+P8(x191,x192)
% 0.20/0.72 [20]~P5(x201,x202)+P1(x201,x202)
% 0.20/0.72 [23]~P6(x231,x232)+~P4(x231,x232)
% 0.20/0.72 [24]~P7(x241,x242)+~P5(x241,x242)
% 0.20/0.72 [25]~P9(x251,x252)+~P1(x251,x252)
% 0.20/0.72 [26]~P3(x261,x262)+~P2(x261,x262)
% 0.20/0.72 [27]~P10(x271,x272)+~P8(x271,x272)
% 0.20/0.72 [47]~P4(x471,x472)+~P2(x472,f7(x471,x472))
% 0.20/0.72 [48]~P4(x481,x482)+~P2(x481,f7(x481,x482))
% 0.20/0.72 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 0.20/0.72 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 0.20/0.72 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 0.20/0.72 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 0.20/0.72 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.20/0.72 [29]~P2(x291,x293)+P4(x291,x292)+P2(x292,x293)
% 0.20/0.72 [30]~P5(x303,x301)+P5(x301,x302)+P5(x303,x302)
% 0.20/0.72 [31]~P1(x313,x311)+P5(x311,x312)+P1(x313,x312)
% 0.20/0.72 [32]~P2(x323,x321)+P5(x321,x322)+P2(x323,x322)
% 0.20/0.72 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 0.20/0.72 [34]~P1(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 0.20/0.72 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 0.20/0.72 [37]~P12(x372)+~P12(x371)+~P4(x371,x372)+P11(f7(x371,x372))
% 0.20/0.72 [39]~P1(x391,x393)+~P8(x391,x393)+P1(x391,x392)+P8(x393,x392)
% 0.20/0.72 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 0.20/0.72 [41]~P1(x412,x413)+~P8(x412,x413)+P1(x411,x412)+P8(x411,x413)
% 0.20/0.72 [42]~P1(x423,x421)+~P8(x423,x421)+P1(x421,x422)+P8(x423,x422)
% 0.20/0.72 [43]~P1(x433,x432)+~P8(x433,x432)+P1(x431,x432)+P8(x431,x433)
% 0.20/0.72 [44]~P1(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 0.20/0.72 [46]P8(x463,x464)+~P5(x463,x462)+P2(x461,x462)+P2(x461,x463)+P8(x462,x464)
% 0.20/0.72 [51]P2(x514,x513)+~P4(x514,x511)+~P5(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 0.20/0.72 %EqnAxiom
% 0.20/0.72
% 0.20/0.72 %-------------------------------------------
% 0.20/0.72 cnf(53,plain,
% 0.20/0.72 (~P5(f5(x531,x532),x531)),
% 0.20/0.72 inference(scs_inference,[],[1,11,25,20])).
% 0.20/0.72 cnf(70,plain,
% 0.20/0.72 (~P1(x701,x701)),
% 0.20/0.72 inference(rename_variables,[],[7])).
% 0.20/0.72 cnf(72,plain,
% 0.20/0.72 (P5(a2,a1)),
% 0.20/0.72 inference(scs_inference,[],[1,5,6,7,70,9,11,12,25,20,19,18,17,16,14,13,34,33,31])).
% 0.20/0.72 cnf(77,plain,
% 0.20/0.72 (~P2(f4(a1,a2),a3)),
% 0.20/0.73 inference(scs_inference,[],[1,5,6,7,70,4,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30,26])).
% 0.20/0.73 cnf(79,plain,
% 0.20/0.73 (~P2(f4(a1,a2),a1)),
% 0.20/0.73 inference(scs_inference,[],[1,5,6,7,70,4,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30,26,50])).
% 0.20/0.73 cnf(81,plain,
% 0.20/0.73 (~P2(f4(a1,a2),a2)),
% 0.20/0.73 inference(scs_inference,[],[1,5,6,7,70,4,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30,26,50,49])).
% 0.20/0.73 cnf(104,plain,
% 0.20/0.73 (P2(f4(a2,a1),a3)),
% 0.20/0.73 inference(scs_inference,[],[8,18])).
% 0.20/0.73 cnf(117,plain,
% 0.20/0.73 (~P5(f5(x1171,x1172),x1171)),
% 0.20/0.73 inference(rename_variables,[],[53])).
% 0.20/0.73 cnf(121,plain,
% 0.20/0.73 (~P5(x1211,f5(x1211,x1212))),
% 0.20/0.73 inference(scs_inference,[],[1,8,10,11,12,6,53,117,81,79,72,18,16,34,32,46,31,20,30])).
% 0.20/0.73 cnf(142,plain,
% 0.20/0.73 (P4(f4(a2,a1),f4(a1,a2))),
% 0.20/0.73 inference(scs_inference,[],[77,104,29])).
% 0.20/0.73 cnf(182,plain,
% 0.20/0.73 (P1(a3,a1)),
% 0.20/0.73 inference(scs_inference,[],[2,7,142,23,33])).
% 0.20/0.73 cnf(295,plain,
% 0.20/0.73 ($false),
% 0.20/0.73 inference(scs_inference,[],[9,182,104,121,49,32]),
% 0.20/0.73 ['proof']).
% 0.20/0.73 % SZS output end Proof
% 0.20/0.73 % Total time :0.080000s
%------------------------------------------------------------------------------