%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO175+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 : n020.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 06:04:11 EDT 2024
% Result : Theorem 58.86s 58.92s
% Output : CNFRefutation 58.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO175+3 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.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 09:37:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 58.86/58.91 %-------------------------------------------
% 58.86/58.91 % File :CSE---1.7
% 58.86/58.91 % Problem :theBenchmark
% 58.86/58.91 % Transform :cnf
% 58.86/58.91 % Format :tptp:raw
% 58.86/58.91 % Command :java -jar mcs_scs.jar %d %s
% 58.86/58.91
% 58.86/58.91 % Result :Theorem 58.310000s
% 58.86/58.91 % Output :CNFRefutation 58.310000s
% 58.86/58.91 %-------------------------------------------
% 58.86/58.92 %------------------------------------------------------------------------------
% 58.86/58.92 % File : GEO175+3 : TPTP v8.2.0. Released v4.0.0.
% 58.86/58.92 % Domain : Geometry (Constructive)
% 58.86/58.92 % Problem : Lemma on symmetry and apartness
% 58.86/58.92 % Version : [vPl95] axioms.
% 58.86/58.92 % English : If two lines are convergent and a point is distinct from the
% 58.86/58.92 % intersection point then this point is apart from at least one of
% 58.86/58.92 % these lines.
% 58.86/58.92
% 58.86/58.92 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.86/58.92 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.86/58.92 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.86/58.92 % Source : [Rat07]
% 58.86/58.92 % Names : Lemma 4.1.ii [vPl95]
% 58.86/58.92
% 58.86/58.92 % Status : Theorem
% 58.86/58.92 % 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
% 58.86/58.92 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.86/58.92 % Number of atoms : 98 ( 0 equ)
% 58.86/58.92 % Maximal formula atoms : 6 ( 2 avg)
% 58.86/58.92 % Number of connectives : 90 ( 28 ~; 20 |; 15 &)
% 58.86/58.92 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.86/58.92 % Maximal formula depth : 9 ( 5 avg)
% 58.86/58.92 % Maximal term depth : 2 ( 1 avg)
% 58.86/58.92 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.86/58.92 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.86/58.92 % Number of variables : 85 ( 85 !; 0 ?)
% 58.86/58.92 % SPC : FOF_THM_RFO_NEQ
% 58.86/58.92
% 58.86/58.92 % Comments :
% 58.86/58.92 %------------------------------------------------------------------------------
% 58.86/58.92 include('Axioms/GEO006+0.ax').
% 58.86/58.92 include('Axioms/GEO006+1.ax').
% 58.86/58.92 include('Axioms/GEO006+2.ax').
% 58.86/58.92 include('Axioms/GEO006+3.ax').
% 58.86/58.92 include('Axioms/GEO006+4.ax').
% 58.86/58.92 include('Axioms/GEO006+5.ax').
% 58.86/58.92 include('Axioms/GEO006+6.ax').
% 58.86/58.92 %------------------------------------------------------------------------------
% 58.86/58.92 fof(con,conjecture,
% 58.86/58.92 ! [X,Y,U,V] :
% 58.86/58.92 ( ( distinct_points(X,Y)
% 58.86/58.92 & convergent_lines(U,V)
% 58.86/58.92 & distinct_points(X,intersection_point(U,V)) )
% 58.86/58.92 => ( apart_point_and_line(X,U)
% 58.86/58.92 | apart_point_and_line(X,V) ) ) ).
% 58.86/58.92
% 58.86/58.92 %------------------------------------------------------------------------------
% 58.86/58.92 %-------------------------------------------
% 58.86/58.92 % Proof found
% 58.86/58.92 % SZS status Theorem for theBenchmark
% 58.86/58.92 % SZS output start Proof
% 58.86/58.93 %ClaNum:51(EqnAxiom:0)
% 58.86/58.93 %VarNum:218(SingletonVarNum:98)
% 58.86/58.93 %MaxLitNum:6
% 58.86/58.93 %MaxfuncDepth:1
% 58.86/58.93 %SharedTerms:10
% 58.86/58.93 %goalClause: 1 2 3 4 5
% 58.86/58.93 %singleGoalClaCount:5
% 58.86/58.93 [1]P1(a1,a2)
% 58.86/58.93 [2]P2(a3,a4)
% 58.86/58.93 [4]~P3(a1,a3)
% 58.86/58.93 [5]~P3(a1,a4)
% 58.86/58.93 [3]P1(a1,f5(a3,a4))
% 58.86/58.93 [6]~P1(x61,x61)
% 58.86/58.93 [7]~P4(x71,x71)
% 58.86/58.93 [8]~P2(x81,x81)
% 58.86/58.93 [9]~P3(x91,f6(x92,x91))
% 58.86/58.93 [10]~P3(x101,f7(x102,x101))
% 58.86/58.93 [11]~P2(f6(x111,x112),x111)
% 58.86/58.93 [12]~P5(f7(x121,x122),x121)
% 58.86/58.93 [13]P6(x131,x132)+P1(x131,x132)
% 58.86/58.93 [14]P7(x141,x142)+P4(x141,x142)
% 58.86/58.93 [16]P5(x161,x162)+P2(x161,x162)
% 58.86/58.93 [17]P8(x171,x172)+P2(x171,x172)
% 58.86/58.93 [18]P9(x181,x182)+P3(x181,x182)
% 58.86/58.93 [19]P10(x191,x192)+P5(x191,x192)
% 58.86/58.93 [20]~P4(x201,x202)+P2(x201,x202)
% 58.86/58.93 [23]~P6(x231,x232)+~P1(x231,x232)
% 58.86/58.93 [24]~P7(x241,x242)+~P4(x241,x242)
% 58.86/58.93 [25]~P8(x251,x252)+~P2(x251,x252)
% 58.86/58.93 [26]~P9(x261,x262)+~P3(x261,x262)
% 58.86/58.93 [27]~P10(x271,x272)+~P5(x271,x272)
% 58.86/58.93 [47]~P1(x471,x472)+~P3(x472,f8(x471,x472))
% 58.86/58.93 [48]~P1(x481,x482)+~P3(x481,f8(x481,x482))
% 58.86/58.93 [49]~P2(x491,x492)+~P3(f5(x491,x492),x492)
% 58.86/58.93 [50]~P2(x501,x502)+~P3(f5(x501,x502),x501)
% 58.86/58.93 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 58.86/58.93 [22]~P12(x222)+~P11(x221)+P11(f7(x221,x222))
% 58.86/58.93 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 58.86/58.93 [29]~P3(x291,x293)+P1(x291,x292)+P3(x292,x293)
% 58.86/58.93 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 58.86/58.93 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 58.86/58.93 [32]~P3(x323,x321)+P4(x321,x322)+P3(x323,x322)
% 58.86/58.93 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 58.86/58.93 [34]~P2(x343,x342)+P5(x341,x342)+P5(x341,x343)
% 58.86/58.93 [36]~P11(x362)+~P11(x361)+~P2(x361,x362)+P12(f5(x361,x362))
% 58.86/58.93 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f8(x371,x372))
% 58.86/58.93 [39]~P2(x391,x393)+~P5(x391,x393)+P2(x391,x392)+P5(x393,x392)
% 58.86/58.93 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P2(x401,x403)
% 58.86/58.93 [41]~P2(x412,x413)+~P5(x412,x413)+P2(x411,x412)+P5(x411,x413)
% 58.86/58.93 [42]~P2(x423,x421)+~P5(x423,x421)+P2(x421,x422)+P5(x423,x422)
% 58.86/58.93 [43]~P2(x433,x432)+~P5(x433,x432)+P2(x431,x432)+P5(x431,x433)
% 58.86/58.93 [44]~P2(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 58.86/58.93 [46]P5(x463,x464)+~P4(x463,x462)+P3(x461,x462)+P3(x461,x463)+P5(x462,x464)
% 58.86/58.93 [51]P3(x514,x513)+~P1(x514,x511)+~P4(x513,x512)+P3(x511,x512)+P3(x511,x513)+P3(x514,x512)
% 58.86/58.93 %EqnAxiom
% 58.86/58.93
% 58.86/58.93 %-------------------------------------------
% 58.86/58.94 cnf(54,plain,
% 58.86/58.94 (~P8(a3,a4)),
% 58.86/58.94 inference(scs_inference,[],[1,2,23,25])).
% 58.86/58.94 cnf(68,plain,
% 58.86/58.94 (~P4(f6(x681,x682),x681)),
% 58.86/58.94 inference(scs_inference,[],[1,2,4,6,7,8,11,12,23,25,13,14,16,17,18,19,20])).
% 58.86/58.94 cnf(75,plain,
% 58.86/58.94 (P4(a4,a3)),
% 58.86/58.94 inference(scs_inference,[],[1,2,4,6,7,8,11,12,23,25,13,14,16,17,18,19,20,27,28,31])).
% 58.86/58.94 cnf(76,plain,
% 58.86/58.94 (~P2(x761,x761)),
% 58.86/58.94 inference(rename_variables,[],[8])).
% 58.86/58.94 cnf(78,plain,
% 58.86/58.94 (P2(a4,a3)),
% 58.86/58.94 inference(scs_inference,[],[1,2,4,6,7,8,76,11,12,23,25,13,14,16,17,18,19,20,27,28,31,33])).
% 58.86/58.94 cnf(81,plain,
% 58.86/58.94 (P5(f7(a3,x811),a4)),
% 58.86/58.94 inference(scs_inference,[],[1,2,4,6,7,8,76,11,12,23,25,13,14,16,17,18,19,20,27,28,31,33,34])).
% 58.86/58.94 cnf(84,plain,
% 58.86/58.94 (P4(a3,a4)),
% 58.86/58.94 inference(scs_inference,[],[1,2,4,6,7,8,76,11,12,23,25,13,14,16,17,18,19,20,27,28,31,33,34,30])).
% 58.86/58.94 cnf(119,plain,
% 58.86/58.94 (~P4(f6(x1191,x1192),x1191)),
% 58.86/58.94 inference(rename_variables,[],[68])).
% 58.86/58.94 cnf(121,plain,
% 58.86/58.94 (~P2(f6(x1211,x1212),f6(x1211,x1213))),
% 58.86/58.94 inference(scs_inference,[],[5,3,78,81,68,119,84,11,18,24,27,25,16,14,23,17,32,31])).
% 58.86/58.94 cnf(324,plain,
% 58.86/58.94 (~P3(f5(a3,a4),a3)),
% 58.86/58.94 inference(scs_inference,[],[54,50,17])).
% 58.86/58.94 cnf(541,plain,
% 58.86/58.94 (P1(f5(a3,a4),a1)),
% 58.86/58.94 inference(scs_inference,[],[3,6,28])).
% 58.86/58.94 cnf(3276,plain,
% 58.86/58.94 (~P2(x32761,f6(x32761,x32762))),
% 58.86/58.94 inference(scs_inference,[],[68,8,31])).
% 58.86/58.94 cnf(3296,plain,
% 58.86/58.94 (P4(a4,f6(a3,x32961))),
% 58.86/58.95 inference(scs_inference,[],[68,2,324,8,84,31,33,32,25,17,20,16,14,18,30])).
% 58.86/58.95 cnf(3314,plain,
% 58.86/58.95 (~P4(x33141,f6(x33141,x33142))),
% 58.86/58.95 inference(scs_inference,[],[3276,17,20])).
% 58.86/58.95 cnf(3316,plain,
% 58.86/58.95 (P5(x33161,f6(x33161,x33162))),
% 58.86/58.95 inference(scs_inference,[],[3276,17,20,16])).
% 58.86/58.95 cnf(3320,plain,
% 58.86/58.95 (P4(a3,f6(a4,x33201))),
% 58.86/58.95 inference(scs_inference,[],[75,3276,17,20,16,14,30])).
% 58.86/58.95 cnf(3322,plain,
% 58.86/58.95 (~P2(a4,f6(f6(a4,x33221),x33222))),
% 58.86/58.95 inference(scs_inference,[],[68,75,3276,17,20,16,14,30,31])).
% 58.86/58.95 cnf(3356,plain,
% 58.86/58.95 (P4(a3,f6(f6(a4,x33561),x33562))),
% 58.86/58.95 inference(scs_inference,[],[75,3322,3316,20,17,27,14,16,30])).
% 58.86/58.95 cnf(5016,plain,
% 58.86/58.95 (P2(f6(f6(a4,x50161),x50162),a3)),
% 58.86/58.95 inference(scs_inference,[],[7,3356,30,24,20])).
% 58.86/58.95 cnf(5035,plain,
% 58.86/58.95 (P2(f6(a3,x50351),a4)),
% 58.86/58.95 inference(scs_inference,[],[7,3296,5016,25,30,24,20])).
% 58.86/58.95 cnf(5072,plain,
% 58.86/58.95 (P2(f6(a4,x50721),a3)),
% 58.86/58.95 inference(scs_inference,[],[7,3320,5035,25,30,24,20])).
% 58.86/58.95 cnf(8744,plain,
% 58.86/58.95 (P2(f7(x87441,x87442),x87441)),
% 58.86/58.95 inference(scs_inference,[],[78,12,49,50,16])).
% 58.86/58.95 cnf(8751,plain,
% 58.86/58.95 (P2(f6(a4,x87511),f6(a3,x87512))),
% 58.86/58.95 inference(scs_inference,[],[5072,78,3276,12,49,50,16,25,34,33])).
% 58.86/58.95 cnf(8754,plain,
% 58.86/58.95 (~P3(x87541,x87542)),
% 58.86/58.95 inference(scs_inference,[],[3314,5072,78,9,3276,12,49,50,16,25,34,33,32])).
% 58.86/58.95 cnf(8757,plain,
% 58.86/58.95 (P4(a3,f7(a3,x87571))),
% 58.86/58.95 inference(scs_inference,[],[3314,5072,78,8,9,3276,12,49,50,16,25,34,33,32,31])).
% 58.86/58.95 cnf(8795,plain,
% 58.86/58.95 (P2(f7(x87951,x87952),x87951)),
% 58.86/58.95 inference(rename_variables,[],[8744])).
% 58.86/58.95 cnf(8797,plain,
% 58.86/58.95 (P4(x87971,f7(x87971,x87972))),
% 58.86/58.95 inference(scs_inference,[],[8744,8795,8751,8757,8,12,24,25,34,31])).
% 58.86/58.95 cnf(8800,plain,
% 58.86/58.95 (~P5(f7(x88001,x88002),f6(x88001,x88003))+~P2(f7(x88001,x88002),f6(x88001,x88003))),
% 58.86/58.95 inference(scs_inference,[],[8744,8795,8751,8757,11,8,12,24,25,34,31,42])).
% 58.86/58.95 cnf(8815,plain,
% 58.86/58.95 (P4(f6(a3,x88151),f6(a4,x88152))),
% 58.86/58.95 inference(scs_inference,[],[8797,8751,121,24,31])).
% 58.86/58.95 cnf(8823,plain,
% 58.86/58.95 (~P5(f6(x88231,x88232),f7(x88231,x88233))+~P4(f6(x88231,x88232),f7(x88231,x88233))),
% 58.86/58.95 inference(scs_inference,[],[8797,8751,11,121,12,24,31,39,17,20])).
% 58.86/58.95 cnf(8849,plain,
% 58.86/58.95 (P2(f6(x88491,x88492),f7(x88491,x88493))),
% 58.86/58.95 inference(scs_inference,[],[8815,8744,8751,5035,11,8,3276,12,24,34,33,31,39,8800,8823,19,16])).
% 58.86/58.95 cnf(8911,plain,
% 58.86/58.95 (P4(f7(x89111,x89112),f6(x89111,x89113))),
% 58.86/58.95 inference(scs_inference,[],[8849,121,31])).
% 58.86/58.95 cnf(9096,plain,
% 58.86/58.95 (P3(a1,f7(x90961,x90962))+P3(a1,f6(x90961,x90963))+P3(f5(a3,a4),f7(x90961,x90962))),
% 58.86/58.95 inference(scs_inference,[],[2,8911,541,8754,3276,51])).
% 58.86/58.95 cnf(9097,plain,
% 58.86/58.95 (P3(f5(a3,a4),f7(x90971,x90972))+P3(a1,f7(x90971,x90972))),
% 58.86/58.95 inference(scs_inference,[],[8754,9096])).
% 58.86/58.95 cnf(9103,plain,
% 58.86/58.95 (P3(f5(a3,a4),f7(x91031,x91032))),
% 58.86/58.95 inference(scs_inference,[],[8754,9097])).
% 58.86/58.95 cnf(9111,plain,
% 58.86/58.95 ($false),
% 58.86/58.95 inference(scs_inference,[],[9103,8754]),
% 58.86/58.95 ['proof']).
% 58.86/58.95 % SZS output end Proof
% 58.86/58.95 % Total time :58.310000s
%------------------------------------------------------------------------------