%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO226+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 06:04:45 EDT 2024
% Result : Theorem 1.36s 1.44s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO226+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 07:59:39 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.56/0.58 start to proof:theBenchmark
% 1.36/1.43 %-------------------------------------------
% 1.36/1.43 % File :CSE---1.7
% 1.36/1.43 % Problem :theBenchmark
% 1.36/1.43 % Transform :cnf
% 1.36/1.43 % Format :tptp:raw
% 1.36/1.43 % Command :java -jar mcs_scs.jar %d %s
% 1.36/1.43
% 1.36/1.43 % Result :Theorem 0.800000s
% 1.36/1.43 % Output :CNFRefutation 0.800000s
% 1.36/1.43 %-------------------------------------------
% 1.36/1.44 %------------------------------------------------------------------------------
% 1.36/1.44 % File : GEO226+3 : TPTP v8.2.0. Released v4.0.0.
% 1.36/1.44 % Domain : Geometry (Constructive)
% 1.36/1.44 % Problem : Existence of point incident to line
% 1.36/1.44 % Version : [vPl95] axioms.
% 1.36/1.44 % English : Assume orthogonal geometry. Given a point and a line, to find
% 1.36/1.44 % a point incident with the line.
% 1.36/1.44
% 1.36/1.44 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.36/1.44 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.36/1.44 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 1.36/1.44 % Source : [Rat07]
% 1.36/1.44 % Names :
% 1.36/1.44
% 1.36/1.44 % Status : Theorem
% 1.36/1.44 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.16 v4.0.0
% 1.36/1.44 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 1.36/1.44 % Number of atoms : 99 ( 0 equ)
% 1.36/1.44 % Maximal formula atoms : 6 ( 2 avg)
% 1.36/1.44 % Number of connectives : 91 ( 28 ~; 19 |; 16 &)
% 1.36/1.44 % ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% 1.36/1.44 % Maximal formula depth : 9 ( 5 avg)
% 1.36/1.44 % Maximal term depth : 2 ( 1 avg)
% 1.36/1.44 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 1.36/1.44 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 1.36/1.44 % Number of variables : 84 ( 83 !; 1 ?)
% 1.36/1.44 % SPC : FOF_THM_RFO_NEQ
% 1.36/1.44
% 1.36/1.44 % Comments :
% 1.36/1.44 %------------------------------------------------------------------------------
% 1.36/1.44 include('Axioms/GEO006+0.ax').
% 1.36/1.44 include('Axioms/GEO006+1.ax').
% 1.36/1.44 include('Axioms/GEO006+2.ax').
% 1.36/1.44 include('Axioms/GEO006+3.ax').
% 1.36/1.44 include('Axioms/GEO006+4.ax').
% 1.36/1.44 include('Axioms/GEO006+5.ax').
% 1.36/1.44 include('Axioms/GEO006+6.ax').
% 1.36/1.44 %------------------------------------------------------------------------------
% 1.36/1.44 fof(con,conjecture,
% 1.36/1.44 ! [L,M] :
% 1.36/1.44 ( ( line(L)
% 1.36/1.44 & line(M)
% 1.36/1.44 & convergent_lines(L,M) )
% 1.36/1.44 => ? [X] :
% 1.36/1.44 ( point(X)
% 1.36/1.44 => ( incident_point_and_line(X,L)
% 1.36/1.44 & incident_point_and_line(X,M) ) ) ) ).
% 1.36/1.44
% 1.36/1.44 %------------------------------------------------------------------------------
% 1.36/1.44 %-------------------------------------------
% 1.36/1.44 % Proof found
% 1.36/1.44 % SZS status Theorem for theBenchmark
% 1.36/1.44 % SZS output start Proof
% 1.36/1.44 %ClaNum:49(EqnAxiom:0)
% 1.36/1.44 %VarNum:210(SingletonVarNum:97)
% 1.36/1.44 %MaxLitNum:6
% 1.36/1.44 %MaxfuncDepth:1
% 1.36/1.44 %SharedTerms:5
% 1.36/1.44 %goalClause: 1 2 3 19 20 21 34
% 1.36/1.44 %singleGoalClaCount:3
% 1.36/1.44 [1]P1(a1)
% 1.36/1.44 [2]P1(a2)
% 1.36/1.44 [3]P2(a1,a2)
% 1.36/1.44 [4]~P4(x41,x41)
% 1.36/1.44 [5]~P5(x51,x51)
% 1.36/1.44 [6]~P2(x61,x61)
% 1.36/1.44 [7]~P3(x71,f3(x72,x71))
% 1.36/1.44 [8]~P3(x81,f4(x82,x81))
% 1.36/1.44 [9]~P2(f3(x91,x92),x91)
% 1.36/1.44 [10]~P9(f4(x101,x102),x101)
% 1.36/1.44 [21]~P8(x211,a2)+~P8(x211,a1)
% 1.36/1.44 [11]P6(x111,x112)+P4(x111,x112)
% 1.36/1.44 [12]P7(x121,x122)+P5(x121,x122)
% 1.36/1.44 [14]P9(x141,x142)+P2(x141,x142)
% 1.36/1.44 [15]P10(x151,x152)+P2(x151,x152)
% 1.36/1.44 [16]P8(x161,x162)+P3(x161,x162)
% 1.36/1.44 [17]P11(x171,x172)+P9(x171,x172)
% 1.36/1.44 [18]~P5(x181,x182)+P2(x181,x182)
% 1.36/1.44 [22]~P6(x221,x222)+~P4(x221,x222)
% 1.36/1.44 [23]~P7(x231,x232)+~P5(x231,x232)
% 1.36/1.44 [24]~P10(x241,x242)+~P2(x241,x242)
% 1.36/1.44 [25]~P8(x251,x252)+~P3(x251,x252)
% 1.36/1.44 [26]~P11(x261,x262)+~P9(x261,x262)
% 1.36/1.44 [19]~P1(x191)+P1(f3(x191,x192))
% 1.36/1.44 [20]~P1(x201)+P1(f4(x201,x202))
% 1.36/1.44 [34]~P4(x341,x342)+P1(f5(x341,x342))
% 1.36/1.44 [45]~P4(x451,x452)+~P3(x452,f5(x451,x452))
% 1.36/1.44 [46]~P4(x461,x462)+~P3(x461,f5(x461,x462))
% 1.36/1.44 [47]~P2(x471,x472)+~P3(f6(x471,x472),x472)
% 1.36/1.44 [48]~P2(x481,x482)+~P3(f6(x481,x482),x481)
% 1.36/1.44 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 1.36/1.44 [28]~P3(x281,x283)+P4(x281,x282)+P3(x282,x283)
% 1.36/1.44 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 1.36/1.44 [30]~P2(x303,x301)+P5(x301,x302)+P2(x303,x302)
% 1.36/1.44 [31]~P3(x313,x311)+P5(x311,x312)+P3(x313,x312)
% 1.36/1.44 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 1.36/1.44 [33]~P2(x333,x332)+P9(x331,x332)+P9(x331,x333)
% 1.36/1.44 [37]~P2(x371,x373)+~P9(x371,x373)+P2(x371,x372)+P9(x373,x372)
% 1.36/1.44 [38]~P2(x382,x383)+~P9(x382,x383)+P2(x381,x382)+P2(x381,x383)
% 1.36/1.44 [39]~P2(x392,x393)+~P9(x392,x393)+P2(x391,x392)+P9(x391,x393)
% 1.36/1.44 [40]~P2(x403,x401)+~P9(x403,x401)+P2(x401,x402)+P9(x403,x402)
% 1.36/1.44 [41]~P2(x413,x412)+~P9(x413,x412)+P2(x411,x412)+P9(x411,x413)
% 1.36/1.44 [42]~P2(x421,x423)+~P9(x421,x423)+P9(x421,x422)+P9(x423,x422)
% 1.36/1.44 [44]P9(x443,x444)+~P5(x443,x442)+P3(x441,x442)+P3(x441,x443)+P9(x442,x444)
% 1.36/1.44 [49]P3(x494,x493)+~P4(x494,x491)+~P5(x493,x492)+P3(x491,x492)+P3(x491,x493)+P3(x494,x492)
% 1.36/1.44 %EqnAxiom
% 1.36/1.44
% 1.36/1.44 %-------------------------------------------
% 1.36/1.45 cnf(69,plain,
% 1.36/1.45 (~P2(x691,x691)),
% 1.36/1.45 inference(rename_variables,[],[6])).
% 1.36/1.45 cnf(71,plain,
% 1.36/1.45 (P2(a2,a1)),
% 1.36/1.45 inference(scs_inference,[],[3,4,5,6,69,7,9,10,24,11,15,16,14,18,12,17,26,30,32])).
% 1.36/1.45 cnf(307,plain,
% 1.36/1.45 (P3(x3071,a1)+~P8(x3071,a2)),
% 1.36/1.45 inference(scs_inference,[],[21,16])).
% 1.36/1.45 cnf(488,plain,
% 1.36/1.45 (P3(x4881,a2)+P3(x4881,a1)),
% 1.36/1.45 inference(scs_inference,[],[307,16])).
% 1.36/1.45 cnf(549,plain,
% 1.36/1.45 (P3(f6(a2,a1),a2)),
% 1.36/1.45 inference(scs_inference,[],[71,488,47])).
% 1.36/1.45 cnf(550,plain,
% 1.36/1.45 ($false),
% 1.36/1.45 inference(scs_inference,[],[71,549,48]),
% 1.36/1.45 ['proof']).
% 1.36/1.45 % SZS output end Proof
% 1.36/1.45 % Total time :0.800000s
%------------------------------------------------------------------------------