TSTP Solution File: GEO175+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO175+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 : n028.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 22:43:20 EDT 2023
% Result : Theorem 0.59s 0.70s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:11:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.46/0.60 start to proof:theBenchmark
% 0.59/0.69 %-------------------------------------------
% 0.59/0.69 % File :CSE---1.6
% 0.59/0.69 % Problem :theBenchmark
% 0.59/0.69 % Transform :cnf
% 0.59/0.69 % Format :tptp:raw
% 0.59/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.69
% 0.59/0.69 % Result :Theorem 0.040000s
% 0.59/0.69 % Output :CNFRefutation 0.040000s
% 0.59/0.69 %-------------------------------------------
% 0.59/0.69 %------------------------------------------------------------------------------
% 0.59/0.69 % File : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.59/0.69 % Domain : Geometry (Constructive)
% 0.59/0.69 % Problem : Lemma on symmetry and apartness
% 0.59/0.69 % Version : [vPl95] axioms.
% 0.59/0.69 % English : If two lines are convergent and a point is distinct from the
% 0.59/0.69 % intersection point then this point is apart from at least one of
% 0.59/0.69 % these lines.
% 0.59/0.69
% 0.59/0.69 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.59/0.69 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.59/0.69 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.59/0.69 % Source : [Rat07]
% 0.59/0.69 % Names : Lemma 4.1.ii [vPl95]
% 0.59/0.69
% 0.59/0.69 % Status : Theorem
% 0.59/0.69 % Rating : 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, 0.10 v4.1.0, 0.11 v4.0.1, 0.05 v4.0.0
% 0.59/0.69 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.59/0.69 % Number of atoms : 98 ( 0 equ)
% 0.59/0.69 % Maximal formula atoms : 6 ( 2 avg)
% 0.59/0.69 % Number of connectives : 90 ( 28 ~; 20 |; 15 &)
% 0.59/0.69 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.59/0.69 % Maximal formula depth : 9 ( 5 avg)
% 0.59/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.59/0.69 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.59/0.69 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.59/0.69 % Number of variables : 85 ( 85 !; 0 ?)
% 0.59/0.69 % SPC : FOF_THM_RFO_NEQ
% 0.59/0.69
% 0.59/0.69 % Comments :
% 0.59/0.69 %------------------------------------------------------------------------------
% 0.59/0.69 include('Axioms/GEO006+0.ax').
% 0.59/0.69 include('Axioms/GEO006+1.ax').
% 0.59/0.69 include('Axioms/GEO006+2.ax').
% 0.59/0.69 include('Axioms/GEO006+3.ax').
% 0.59/0.69 include('Axioms/GEO006+4.ax').
% 0.59/0.69 include('Axioms/GEO006+5.ax').
% 0.59/0.69 include('Axioms/GEO006+6.ax').
% 0.59/0.69 %------------------------------------------------------------------------------
% 0.59/0.69 fof(con,conjecture,
% 0.59/0.69 ! [X,Y,U,V] :
% 0.59/0.69 ( ( distinct_points(X,Y)
% 0.59/0.69 & convergent_lines(U,V)
% 0.59/0.70 & distinct_points(X,intersection_point(U,V)) )
% 0.59/0.70 => ( apart_point_and_line(X,U)
% 0.59/0.70 | apart_point_and_line(X,V) ) ) ).
% 0.59/0.70
% 0.59/0.70 %------------------------------------------------------------------------------
% 0.59/0.70 %-------------------------------------------
% 0.59/0.70 % Proof found
% 0.59/0.70 % SZS status Theorem for theBenchmark
% 0.59/0.70 % SZS output start Proof
% 0.59/0.70 %ClaNum:51(EqnAxiom:0)
% 0.59/0.70 %VarNum:218(SingletonVarNum:98)
% 0.59/0.70 %MaxLitNum:6
% 0.59/0.70 %MaxfuncDepth:1
% 0.59/0.70 %SharedTerms:10
% 0.59/0.70 %goalClause: 1 2 3 4 5
% 0.59/0.70 %singleGoalClaCount:5
% 0.59/0.70 [1]P1(a1,a2)
% 0.59/0.70 [2]P2(a3,a4)
% 0.59/0.70 [4]~P3(a1,a3)
% 0.59/0.70 [5]~P3(a1,a4)
% 0.59/0.70 [3]P1(a1,f5(a3,a4))
% 0.59/0.70 [6]~P1(x61,x61)
% 0.59/0.70 [7]~P4(x71,x71)
% 0.59/0.70 [8]~P2(x81,x81)
% 0.59/0.70 [9]~P3(x91,f6(x92,x91))
% 0.59/0.70 [10]~P3(x101,f7(x102,x101))
% 0.59/0.70 [11]~P2(f6(x111,x112),x111)
% 0.59/0.70 [12]~P5(f7(x121,x122),x121)
% 0.59/0.70 [13]P6(x131,x132)+P1(x131,x132)
% 0.59/0.70 [14]P7(x141,x142)+P4(x141,x142)
% 0.59/0.70 [16]P5(x161,x162)+P2(x161,x162)
% 0.59/0.70 [17]P8(x171,x172)+P2(x171,x172)
% 0.59/0.70 [18]P9(x181,x182)+P3(x181,x182)
% 0.59/0.70 [19]P10(x191,x192)+P5(x191,x192)
% 0.59/0.70 [20]~P4(x201,x202)+P2(x201,x202)
% 0.59/0.70 [23]~P6(x231,x232)+~P1(x231,x232)
% 0.59/0.70 [24]~P7(x241,x242)+~P4(x241,x242)
% 0.59/0.70 [25]~P8(x251,x252)+~P2(x251,x252)
% 0.59/0.70 [26]~P9(x261,x262)+~P3(x261,x262)
% 0.59/0.70 [27]~P10(x271,x272)+~P5(x271,x272)
% 0.59/0.70 [47]~P1(x471,x472)+~P3(x472,f8(x471,x472))
% 0.59/0.70 [48]~P1(x481,x482)+~P3(x481,f8(x481,x482))
% 0.59/0.70 [49]~P2(x491,x492)+~P3(f5(x491,x492),x492)
% 0.59/0.70 [50]~P2(x501,x502)+~P3(f5(x501,x502),x501)
% 0.59/0.70 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 0.59/0.70 [22]~P12(x222)+~P11(x221)+P11(f7(x221,x222))
% 0.59/0.70 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 0.59/0.70 [29]~P3(x291,x293)+P1(x291,x292)+P3(x292,x293)
% 0.59/0.70 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.59/0.70 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 0.59/0.70 [32]~P3(x323,x321)+P4(x321,x322)+P3(x323,x322)
% 0.59/0.70 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 0.59/0.70 [34]~P2(x343,x342)+P5(x341,x342)+P5(x341,x343)
% 0.59/0.70 [36]~P11(x362)+~P11(x361)+~P2(x361,x362)+P12(f5(x361,x362))
% 0.59/0.70 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f8(x371,x372))
% 0.59/0.70 [39]~P2(x391,x393)+~P5(x391,x393)+P2(x391,x392)+P5(x393,x392)
% 0.59/0.70 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P2(x401,x403)
% 0.59/0.70 [41]~P2(x412,x413)+~P5(x412,x413)+P2(x411,x412)+P5(x411,x413)
% 0.59/0.70 [42]~P2(x423,x421)+~P5(x423,x421)+P2(x421,x422)+P5(x423,x422)
% 0.59/0.70 [43]~P2(x433,x432)+~P5(x433,x432)+P2(x431,x432)+P5(x431,x433)
% 0.59/0.70 [44]~P2(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 0.59/0.70 [46]P5(x463,x464)+~P4(x463,x462)+P3(x461,x462)+P3(x461,x463)+P5(x462,x464)
% 0.59/0.70 [51]P3(x514,x513)+~P1(x514,x511)+~P4(x513,x512)+P3(x511,x512)+P3(x511,x513)+P3(x514,x512)
% 0.59/0.70 %EqnAxiom
% 0.59/0.70
% 0.59/0.70 %-------------------------------------------
% 0.59/0.70 cnf(54,plain,
% 0.59/0.70 (~P4(f6(x541,x542),x541)),
% 0.59/0.70 inference(scs_inference,[],[1,2,11,25,23,20])).
% 0.59/0.70 cnf(72,plain,
% 0.59/0.70 (~P2(x721,x721)),
% 0.59/0.70 inference(rename_variables,[],[8])).
% 0.59/0.70 cnf(74,plain,
% 0.59/0.70 (P4(a4,a3)),
% 0.59/0.70 inference(scs_inference,[],[1,6,7,8,72,2,4,11,12,25,23,20,19,18,17,16,14,13,34,33,31])).
% 0.59/0.70 cnf(81,plain,
% 0.59/0.70 (~P3(f5(a3,a4),a3)),
% 0.59/0.70 inference(scs_inference,[],[1,6,7,8,72,2,4,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,50])).
% 0.59/0.70 cnf(83,plain,
% 0.59/0.70 (~P3(f5(a3,a4),a4)),
% 0.59/0.70 inference(scs_inference,[],[1,6,7,8,72,2,4,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,50,49])).
% 0.59/0.70 cnf(116,plain,
% 0.59/0.70 (~P5(f7(x1161,x1162),x1161)),
% 0.59/0.70 inference(rename_variables,[],[12])).
% 0.59/0.70 cnf(121,plain,
% 0.59/0.70 (~P4(x1211,f6(x1211,x1212))),
% 0.59/0.70 inference(scs_inference,[],[5,3,10,11,12,116,7,4,2,54,83,81,74,16,33,46,51,34,30])).
% 0.59/0.70 cnf(145,plain,
% 0.59/0.70 (~P2(x1451,f6(x1451,x1452))),
% 0.59/0.70 inference(scs_inference,[],[2,8,11,121,31,33])).
% 0.59/0.70 cnf(168,plain,
% 0.59/0.70 (~P1(f5(a3,a4),a1)),
% 0.59/0.70 inference(scs_inference,[],[2,5,4,145,83,81,74,33,51])).
% 0.59/0.70 cnf(209,plain,
% 0.59/0.70 ($false),
% 0.59/0.70 inference(scs_inference,[],[3,6,168,28]),
% 0.59/0.70 ['proof']).
% 0.59/0.70 % SZS output end Proof
% 0.59/0.70 % Total time :0.040000s
%------------------------------------------------------------------------------