TSTP Solution File: GEO173+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 22:43:18 EDT 2023
% Result : Theorem 0.51s 0.63s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 23:03:16 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.47/0.55 start to proof:theBenchmark
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 % File :CSE---1.6
% 0.51/0.62 % Problem :theBenchmark
% 0.51/0.62 % Transform :cnf
% 0.51/0.62 % Format :tptp:raw
% 0.51/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.62
% 0.51/0.62 % Result :Theorem 0.010000s
% 0.51/0.62 % Output :CNFRefutation 0.010000s
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.62 % File : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.51/0.62 % Domain : Geometry (Constructive)
% 0.51/0.62 % Problem : Lemma on symmetry and apartness
% 0.51/0.62 % Version : [vPl95] axioms.
% 0.51/0.62 % English : If two points are distinct and a line U is distinct from the
% 0.51/0.62 % line connecting the points, then U is apart from at least one
% 0.51/0.62 % of these points.
% 0.51/0.62
% 0.51/0.62 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.62 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.62 % Source : [Rat07]
% 0.51/0.62 % Names : Lemma 4.1.i [vPl95]
% 0.51/0.62
% 0.51/0.62 % Status : Theorem
% 0.51/0.62 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.11 v4.0.0
% 0.51/0.62 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.51/0.62 % Number of atoms : 98 ( 0 equ)
% 0.51/0.62 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.62 % Number of connectives : 90 ( 28 ~; 20 |; 15 &)
% 0.51/0.62 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.51/0.62 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.62 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.51/0.62 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.51/0.62 % Number of variables : 85 ( 85 !; 0 ?)
% 0.51/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.62
% 0.51/0.62 % Comments :
% 0.51/0.62 %------------------------------------------------------------------------------
% 0.51/0.63 include('Axioms/GEO006+0.ax').
% 0.51/0.63 include('Axioms/GEO006+1.ax').
% 0.51/0.63 include('Axioms/GEO006+2.ax').
% 0.51/0.63 include('Axioms/GEO006+3.ax').
% 0.51/0.63 include('Axioms/GEO006+4.ax').
% 0.51/0.63 include('Axioms/GEO006+5.ax').
% 0.51/0.63 include('Axioms/GEO006+6.ax').
% 0.51/0.63 %------------------------------------------------------------------------------
% 0.51/0.63 fof(con,conjecture,
% 0.51/0.63 ! [X,Y,U,V] :
% 0.51/0.63 ( ( distinct_points(X,Y)
% 0.51/0.63 & convergent_lines(U,V)
% 0.51/0.63 & distinct_lines(U,line_connecting(X,Y)) )
% 0.51/0.63 => ( apart_point_and_line(X,U)
% 0.51/0.63 | apart_point_and_line(Y,U) ) ) ).
% 0.51/0.63
% 0.51/0.63 %------------------------------------------------------------------------------
% 0.51/0.63 %-------------------------------------------
% 0.51/0.63 % Proof found
% 0.51/0.63 % SZS status Theorem for theBenchmark
% 0.51/0.63 % SZS output start Proof
% 0.51/0.63 %ClaNum:51(EqnAxiom:0)
% 0.51/0.63 %VarNum:218(SingletonVarNum:98)
% 0.51/0.63 %MaxLitNum:6
% 0.51/0.63 %MaxfuncDepth:1
% 0.51/0.63 %SharedTerms:10
% 0.51/0.63 %goalClause: 1 2 3 4 5
% 0.51/0.63 %singleGoalClaCount:5
% 0.51/0.63 [1]P1(a1,a2)
% 0.51/0.63 [2]P2(a3,a4)
% 0.51/0.63 [4]~P3(a1,a3)
% 0.51/0.63 [5]~P3(a2,a3)
% 0.51/0.63 [3]P4(a3,f5(a1,a2))
% 0.51/0.63 [6]~P1(x61,x61)
% 0.51/0.63 [7]~P4(x71,x71)
% 0.51/0.63 [8]~P2(x81,x81)
% 0.51/0.63 [9]~P3(x91,f7(x92,x91))
% 0.51/0.63 [10]~P3(x101,f8(x102,x101))
% 0.51/0.63 [11]~P2(f7(x111,x112),x111)
% 0.51/0.63 [12]~P5(f8(x121,x122),x121)
% 0.51/0.63 [13]P6(x131,x132)+P1(x131,x132)
% 0.51/0.63 [14]P7(x141,x142)+P4(x141,x142)
% 0.51/0.63 [16]P5(x161,x162)+P2(x161,x162)
% 0.51/0.63 [17]P8(x171,x172)+P2(x171,x172)
% 0.51/0.63 [18]P9(x181,x182)+P3(x181,x182)
% 0.51/0.63 [19]P10(x191,x192)+P5(x191,x192)
% 0.51/0.63 [20]~P4(x201,x202)+P2(x201,x202)
% 0.51/0.63 [23]~P6(x231,x232)+~P1(x231,x232)
% 0.51/0.63 [24]~P7(x241,x242)+~P4(x241,x242)
% 0.51/0.63 [25]~P8(x251,x252)+~P2(x251,x252)
% 0.51/0.63 [26]~P9(x261,x262)+~P3(x261,x262)
% 0.51/0.63 [27]~P10(x271,x272)+~P5(x271,x272)
% 0.51/0.63 [47]~P1(x471,x472)+~P3(x472,f5(x471,x472))
% 0.51/0.63 [48]~P1(x481,x482)+~P3(x481,f5(x481,x482))
% 0.51/0.63 [49]~P2(x491,x492)+~P3(f6(x491,x492),x492)
% 0.51/0.63 [50]~P2(x501,x502)+~P3(f6(x501,x502),x501)
% 0.51/0.63 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.51/0.63 [22]~P12(x222)+~P11(x221)+P11(f8(x221,x222))
% 0.51/0.63 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 0.51/0.63 [29]~P3(x291,x293)+P1(x291,x292)+P3(x292,x293)
% 0.51/0.63 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.51/0.63 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 0.51/0.63 [32]~P3(x323,x321)+P4(x321,x322)+P3(x323,x322)
% 0.51/0.63 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 0.51/0.63 [34]~P2(x343,x342)+P5(x341,x342)+P5(x341,x343)
% 0.51/0.63 [36]~P11(x362)+~P11(x361)+~P2(x361,x362)+P12(f6(x361,x362))
% 0.51/0.63 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f5(x371,x372))
% 0.51/0.63 [39]~P2(x391,x393)+~P5(x391,x393)+P2(x391,x392)+P5(x393,x392)
% 0.51/0.63 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P2(x401,x403)
% 0.51/0.63 [41]~P2(x412,x413)+~P5(x412,x413)+P2(x411,x412)+P5(x411,x413)
% 0.51/0.63 [42]~P2(x423,x421)+~P5(x423,x421)+P2(x421,x422)+P5(x423,x422)
% 0.51/0.63 [43]~P2(x433,x432)+~P5(x433,x432)+P2(x431,x432)+P5(x431,x433)
% 0.51/0.63 [44]~P2(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.51/0.63 [46]P5(x463,x464)+~P4(x463,x462)+P3(x461,x462)+P3(x461,x463)+P5(x462,x464)
% 0.51/0.63 [51]P3(x514,x513)+~P1(x514,x511)+~P4(x513,x512)+P3(x511,x512)+P3(x511,x513)+P3(x514,x512)
% 0.51/0.63 %EqnAxiom
% 0.51/0.63
% 0.51/0.63 %-------------------------------------------
% 0.51/0.63 cnf(74,plain,
% 0.51/0.63 (~P2(x741,x741)),
% 0.51/0.63 inference(rename_variables,[],[8])).
% 0.51/0.63 cnf(81,plain,
% 0.51/0.63 (P1(a2,a1)),
% 0.51/0.63 inference(scs_inference,[],[1,6,7,8,74,2,4,3,11,12,25,24,23,20,19,18,17,16,14,13,34,33,31,30,28])).
% 0.51/0.63 cnf(87,plain,
% 0.51/0.63 (~P3(a1,f5(a1,a2))),
% 0.51/0.63 inference(scs_inference,[],[1,6,7,8,74,2,4,3,11,12,25,24,23,20,19,18,17,16,14,13,34,33,31,30,28,50,49,48])).
% 0.51/0.63 cnf(89,plain,
% 0.51/0.63 (~P3(a2,f5(a1,a2))),
% 0.51/0.63 inference(scs_inference,[],[1,6,7,8,74,2,4,3,11,12,25,24,23,20,19,18,17,16,14,13,34,33,31,30,28,50,49,48,47])).
% 0.51/0.63 cnf(112,plain,
% 0.51/0.63 ($false),
% 0.51/0.63 inference(scs_inference,[],[5,3,12,4,2,89,87,81,34,51]),
% 0.51/0.63 ['proof']).
% 0.51/0.63 % SZS output end Proof
% 0.51/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------