%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO188+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 06:04:20 EDT 2024
% Result : Theorem 24.26s 24.31s
% Output : CNFRefutation 24.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO188+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 08:11:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 24.26/24.30 %-------------------------------------------
% 24.26/24.30 % File :CSE---1.7
% 24.26/24.30 % Problem :theBenchmark
% 24.26/24.30 % Transform :cnf
% 24.26/24.30 % Format :tptp:raw
% 24.26/24.30 % Command :java -jar mcs_scs.jar %d %s
% 24.26/24.30
% 24.26/24.30 % Result :Theorem 23.700000s
% 24.26/24.30 % Output :CNFRefutation 23.700000s
% 24.26/24.30 %-------------------------------------------
% 24.26/24.31 %------------------------------------------------------------------------------
% 24.26/24.31 % File : GEO188+3 : TPTP v8.2.0. Released v4.0.0.
% 24.26/24.31 % Domain : Geometry (Constructive)
% 24.26/24.31 % Problem : Collary to symmetry of incidence
% 24.26/24.31 % Version : [vPl95] axioms.
% 24.26/24.31 % English : If X, Y, and Z are pairwise distinct, and Z is incident with
% 24.26/24.31 % the line connecting X and Y, then X is incident with the line
% 24.26/24.31 % connecting Z and Y.
% 24.26/24.31
% 24.26/24.31 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 24.26/24.31 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 24.26/24.31 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 24.26/24.31 % Source : [Rat07]
% 24.26/24.31 % Names : Collary 4.7.i [vPl95]
% 24.26/24.31
% 24.26/24.31 % Status : Theorem
% 24.26/24.31 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0
% 24.26/24.31 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 24.26/24.31 % Number of atoms : 98 ( 0 equ)
% 24.26/24.31 % Maximal formula atoms : 6 ( 2 avg)
% 24.26/24.31 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 24.26/24.31 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 24.26/24.31 % Maximal formula depth : 9 ( 5 avg)
% 24.26/24.31 % Maximal term depth : 2 ( 1 avg)
% 24.26/24.31 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 24.26/24.31 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 24.26/24.31 % Number of variables : 84 ( 84 !; 0 ?)
% 24.26/24.31 % SPC : FOF_THM_RFO_NEQ
% 24.26/24.31
% 24.26/24.31 % Comments :
% 24.26/24.31 %------------------------------------------------------------------------------
% 24.26/24.31 include('Axioms/GEO006+0.ax').
% 24.26/24.31 include('Axioms/GEO006+1.ax').
% 24.26/24.31 include('Axioms/GEO006+2.ax').
% 24.26/24.31 include('Axioms/GEO006+3.ax').
% 24.26/24.31 include('Axioms/GEO006+4.ax').
% 24.26/24.31 include('Axioms/GEO006+5.ax').
% 24.26/24.31 include('Axioms/GEO006+6.ax').
% 24.26/24.31 %------------------------------------------------------------------------------
% 24.26/24.31 fof(con,conjecture,
% 24.26/24.31 ! [X,Y,Z] :
% 24.26/24.31 ( ( distinct_points(X,Y)
% 24.26/24.31 & distinct_points(X,Z)
% 24.26/24.31 & distinct_points(Y,Z)
% 24.26/24.31 & incident_point_and_line(Z,line_connecting(X,Y)) )
% 24.26/24.31 => incident_point_and_line(X,line_connecting(Z,Y)) ) ).
% 24.26/24.31
% 24.26/24.31 %------------------------------------------------------------------------------
% 24.26/24.31 %-------------------------------------------
% 24.26/24.31 % Proof found
% 24.26/24.31 % SZS status Theorem for theBenchmark
% 24.26/24.31 % SZS output start Proof
% 24.26/24.32 %ClaNum:51(EqnAxiom:0)
% 24.26/24.32 %VarNum:218(SingletonVarNum:98)
% 24.26/24.32 %MaxLitNum:6
% 24.26/24.32 %MaxfuncDepth:1
% 24.26/24.32 %SharedTerms:10
% 24.26/24.32 %goalClause: 1 2 3 4 8
% 24.26/24.32 %singleGoalClaCount:5
% 24.26/24.32 [1]P1(a1,a2)
% 24.26/24.32 [2]P1(a1,a3)
% 24.26/24.32 [3]P1(a2,a3)
% 24.26/24.32 [4]P5(a3,f4(a1,a2))
% 24.26/24.32 [8]~P5(a1,f4(a3,a2))
% 24.26/24.32 [5]~P1(x51,x51)
% 24.26/24.32 [6]~P2(x61,x61)
% 24.26/24.32 [7]~P3(x71,x71)
% 24.26/24.32 [9]~P4(x91,f6(x92,x91))
% 24.26/24.32 [10]~P4(x101,f7(x102,x101))
% 24.26/24.32 [11]~P3(f6(x111,x112),x111)
% 24.26/24.32 [12]~P8(f7(x121,x122),x121)
% 24.26/24.32 [13]P6(x131,x132)+P1(x131,x132)
% 24.26/24.32 [14]P7(x141,x142)+P2(x141,x142)
% 24.26/24.32 [16]P8(x161,x162)+P3(x161,x162)
% 24.26/24.32 [17]P9(x171,x172)+P3(x171,x172)
% 24.26/24.32 [18]P5(x181,x182)+P4(x181,x182)
% 24.26/24.32 [19]P10(x191,x192)+P8(x191,x192)
% 24.26/24.32 [20]~P2(x201,x202)+P3(x201,x202)
% 24.26/24.32 [23]~P6(x231,x232)+~P1(x231,x232)
% 24.26/24.32 [24]~P7(x241,x242)+~P2(x241,x242)
% 24.26/24.32 [25]~P9(x251,x252)+~P3(x251,x252)
% 24.26/24.32 [26]~P5(x261,x262)+~P4(x261,x262)
% 24.26/24.32 [27]~P10(x271,x272)+~P8(x271,x272)
% 24.26/24.32 [47]~P1(x471,x472)+~P4(x472,f4(x471,x472))
% 24.26/24.32 [48]~P1(x481,x482)+~P4(x481,f4(x481,x482))
% 24.26/24.32 [49]~P3(x491,x492)+~P4(f5(x491,x492),x492)
% 24.26/24.32 [50]~P3(x501,x502)+~P4(f5(x501,x502),x501)
% 24.26/24.32 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 24.26/24.32 [22]~P12(x222)+~P11(x221)+P11(f7(x221,x222))
% 24.26/24.32 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 24.26/24.32 [29]~P4(x291,x293)+P1(x291,x292)+P4(x292,x293)
% 24.26/24.32 [30]~P2(x303,x301)+P2(x301,x302)+P2(x303,x302)
% 24.26/24.32 [31]~P3(x313,x311)+P2(x311,x312)+P3(x313,x312)
% 24.26/24.32 [32]~P4(x323,x321)+P2(x321,x322)+P4(x323,x322)
% 24.26/24.32 [33]~P3(x333,x331)+P3(x331,x332)+P3(x333,x332)
% 24.26/24.32 [34]~P3(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 24.26/24.32 [36]~P11(x362)+~P11(x361)+~P3(x361,x362)+P12(f5(x361,x362))
% 24.26/24.32 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f4(x371,x372))
% 24.26/24.32 [39]~P3(x391,x393)+~P8(x391,x393)+P3(x391,x392)+P8(x393,x392)
% 24.26/24.32 [40]~P3(x402,x403)+~P8(x402,x403)+P3(x401,x402)+P3(x401,x403)
% 24.26/24.32 [41]~P3(x412,x413)+~P8(x412,x413)+P3(x411,x412)+P8(x411,x413)
% 24.26/24.32 [42]~P3(x423,x421)+~P8(x423,x421)+P3(x421,x422)+P8(x423,x422)
% 24.26/24.32 [43]~P3(x433,x432)+~P8(x433,x432)+P3(x431,x432)+P8(x431,x433)
% 24.26/24.32 [44]~P3(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 24.26/24.32 [46]P8(x463,x464)+~P2(x463,x462)+P4(x461,x462)+P4(x461,x463)+P8(x462,x464)
% 24.26/24.32 [51]P4(x514,x513)+~P1(x514,x511)+~P2(x513,x512)+P4(x511,x512)+P4(x511,x513)+P4(x514,x512)
% 24.26/24.32 %EqnAxiom
% 24.26/24.32
% 24.26/24.32 %-------------------------------------------
% 24.26/24.33 cnf(60,plain,
% 24.26/24.33 (~P2(f6(x601,x602),x601)),
% 24.26/24.33 inference(scs_inference,[],[1,5,6,9,11,23,13,18,14,20])).
% 24.26/24.33 cnf(94,plain,
% 24.26/24.33 (~P2(x941,f6(x941,x942))),
% 24.26/24.33 inference(scs_inference,[],[2,10,60,11,7,14,23,17,16,18,33,27,20])).
% 24.26/24.33 cnf(8097,plain,
% 24.26/24.33 ($false),
% 24.26/24.33 inference(scs_inference,[],[94,8,9,32,18]),
% 24.26/24.33 ['proof']).
% 24.26/24.33 % SZS output end Proof
% 24.26/24.33 % Total time :23.700000s
%------------------------------------------------------------------------------