%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO191+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 : n024.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 06:04:22 EDT 2024
% Result : Theorem 58.59s 58.63s
% Output : CNFRefutation 58.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 08:33:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 58.59/58.61 %-------------------------------------------
% 58.59/58.62 % File :CSE---1.7
% 58.59/58.62 % Problem :theBenchmark
% 58.59/58.62 % Transform :cnf
% 58.59/58.62 % Format :tptp:raw
% 58.59/58.62 % Command :java -jar mcs_scs.jar %d %s
% 58.59/58.62
% 58.59/58.62 % Result :Theorem 58.020000s
% 58.59/58.62 % Output :CNFRefutation 58.020000s
% 58.59/58.62 %-------------------------------------------
% 58.59/58.63 %------------------------------------------------------------------------------
% 58.59/58.63 % File : GEO191+3 : TPTP v8.2.0. Released v4.0.0.
% 58.59/58.63 % Domain : Geometry (Constructive)
% 58.59/58.63 % Problem : Symmetry of apartness
% 58.59/58.63 % Version : [vPl95] axioms.
% 58.59/58.63 % English : If the lines X and Y are convergent, U and V are convergent,
% 58.59/58.63 % and the intersection point of X and Y is apart from U and V,
% 58.59/58.63 % then the intersection point of U and V is apart from X and Y.
% 58.59/58.63
% 58.59/58.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.59/58.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.59/58.63 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.59/58.63 % Source : [Rat07]
% 58.59/58.63 % Names : Theorem 4.8 [vPl95]
% 58.59/58.63
% 58.59/58.63 % Status : Theorem
% 58.59/58.63 % Rating : 0.00 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.28 v4.0.1, 0.32 v4.0.0
% 58.59/58.63 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.59/58.63 % Number of atoms : 99 ( 0 equ)
% 58.59/58.63 % Maximal formula atoms : 6 ( 2 avg)
% 58.59/58.63 % Number of connectives : 91 ( 28 ~; 21 |; 15 &)
% 58.59/58.63 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.59/58.63 % Maximal formula depth : 9 ( 6 avg)
% 58.59/58.63 % Maximal term depth : 2 ( 1 avg)
% 58.59/58.63 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.59/58.63 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.59/58.63 % Number of variables : 85 ( 85 !; 0 ?)
% 58.59/58.63 % SPC : FOF_THM_RFO_NEQ
% 58.59/58.63
% 58.59/58.63 % Comments :
% 58.59/58.63 %------------------------------------------------------------------------------
% 58.59/58.63 include('Axioms/GEO006+0.ax').
% 58.59/58.63 include('Axioms/GEO006+1.ax').
% 58.59/58.63 include('Axioms/GEO006+2.ax').
% 58.59/58.63 include('Axioms/GEO006+3.ax').
% 58.59/58.63 include('Axioms/GEO006+4.ax').
% 58.59/58.63 include('Axioms/GEO006+5.ax').
% 58.59/58.63 include('Axioms/GEO006+6.ax').
% 58.59/58.63 %------------------------------------------------------------------------------
% 58.59/58.63 fof(con,conjecture,
% 58.59/58.63 ! [X,Y,U,V] :
% 58.59/58.63 ( ( convergent_lines(X,Y)
% 58.59/58.63 & convergent_lines(U,V)
% 58.59/58.63 & ( apart_point_and_line(intersection_point(X,Y),U)
% 58.59/58.63 | apart_point_and_line(intersection_point(X,Y),V) ) )
% 58.59/58.63 => ( apart_point_and_line(intersection_point(U,V),X)
% 58.59/58.63 | apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 58.59/58.63
% 58.59/58.63 %------------------------------------------------------------------------------
% 58.59/58.63 %-------------------------------------------
% 58.59/58.63 % Proof found
% 58.59/58.63 % SZS status Theorem for theBenchmark
% 58.59/58.63 % SZS output start Proof
% 58.59/58.64 %ClaNum:51(EqnAxiom:0)
% 58.59/58.64 %VarNum:218(SingletonVarNum:98)
% 58.59/58.64 %MaxLitNum:6
% 58.59/58.64 %MaxfuncDepth:1
% 58.59/58.64 %SharedTerms:12
% 58.59/58.64 %goalClause: 1 2 6 7 34
% 58.59/58.64 %singleGoalClaCount:4
% 58.59/58.64 [1]P1(a1,a2)
% 58.59/58.64 [2]P1(a3,a4)
% 58.59/58.64 [6]~P2(f5(a3,a4),a1)
% 58.59/58.64 [7]~P2(f5(a3,a4),a2)
% 58.59/58.64 [3]~P3(x31,x31)
% 58.59/58.64 [4]~P4(x41,x41)
% 58.59/58.64 [5]~P1(x51,x51)
% 58.59/58.64 [8]~P2(x81,f6(x82,x81))
% 58.59/58.64 [9]~P2(x91,f7(x92,x91))
% 58.59/58.64 [10]~P1(f6(x101,x102),x101)
% 58.59/58.64 [11]~P5(f7(x111,x112),x111)
% 58.59/58.64 [34]P2(f5(a1,a2),a4)+P2(f5(a1,a2),a3)
% 58.59/58.64 [12]P6(x121,x122)+P3(x121,x122)
% 58.59/58.64 [13]P7(x131,x132)+P4(x131,x132)
% 58.59/58.64 [15]P5(x151,x152)+P1(x151,x152)
% 58.59/58.64 [16]P8(x161,x162)+P1(x161,x162)
% 58.59/58.64 [17]P9(x171,x172)+P2(x171,x172)
% 58.59/58.64 [18]P10(x181,x182)+P5(x181,x182)
% 58.59/58.64 [19]~P4(x191,x192)+P1(x191,x192)
% 58.59/58.64 [22]~P6(x221,x222)+~P3(x221,x222)
% 58.59/58.64 [23]~P7(x231,x232)+~P4(x231,x232)
% 58.59/58.64 [24]~P8(x241,x242)+~P1(x241,x242)
% 58.59/58.64 [25]~P9(x251,x252)+~P2(x251,x252)
% 58.59/58.64 [26]~P10(x261,x262)+~P5(x261,x262)
% 58.59/58.64 [47]~P3(x471,x472)+~P2(x472,f8(x471,x472))
% 58.59/58.64 [48]~P3(x481,x482)+~P2(x481,f8(x481,x482))
% 58.59/58.64 [49]~P1(x491,x492)+~P2(f5(x491,x492),x492)
% 58.59/58.64 [50]~P1(x501,x502)+~P2(f5(x501,x502),x501)
% 58.59/58.64 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 58.59/58.64 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 58.59/58.64 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 58.59/58.64 [28]~P2(x281,x283)+P3(x281,x282)+P2(x282,x283)
% 58.59/58.64 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 58.59/58.64 [30]~P1(x303,x301)+P4(x301,x302)+P1(x303,x302)
% 58.59/58.64 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 58.59/58.64 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 58.59/58.64 [33]~P1(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 58.59/58.64 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f5(x361,x362))
% 58.59/58.64 [37]~P12(x372)+~P12(x371)+~P3(x371,x372)+P11(f8(x371,x372))
% 58.59/58.64 [39]~P1(x391,x393)+~P5(x391,x393)+P1(x391,x392)+P5(x393,x392)
% 58.59/58.64 [40]~P1(x402,x403)+~P5(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 58.59/58.64 [41]~P1(x412,x413)+~P5(x412,x413)+P1(x411,x412)+P5(x411,x413)
% 58.59/58.64 [42]~P1(x423,x421)+~P5(x423,x421)+P1(x421,x422)+P5(x423,x422)
% 58.59/58.64 [43]~P1(x433,x432)+~P5(x433,x432)+P1(x431,x432)+P5(x431,x433)
% 58.59/58.64 [44]~P1(x441,x443)+~P5(x441,x443)+P5(x441,x442)+P5(x443,x442)
% 58.59/58.64 [46]P5(x463,x464)+~P4(x463,x462)+P2(x461,x462)+P2(x461,x463)+P5(x462,x464)
% 58.59/58.64 [51]P2(x514,x513)+~P3(x514,x511)+~P4(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 58.59/58.64 %EqnAxiom
% 58.59/58.64
% 58.59/58.64 %-------------------------------------------
% 58.59/58.66 cnf(66,plain,
% 58.59/58.66 (~P4(f6(x661,x662),x661)),
% 58.59/58.66 inference(scs_inference,[],[1,7,3,4,5,10,11,24,17,12,13,15,16,18,19])).
% 58.59/58.66 cnf(71,plain,
% 58.59/58.66 (~P1(x711,x711)),
% 58.59/58.66 inference(rename_variables,[],[5])).
% 58.59/58.66 cnf(76,plain,
% 58.59/58.66 (P5(f7(a1,x761),a2)),
% 58.59/58.66 inference(scs_inference,[],[1,7,3,4,5,71,10,11,24,17,12,13,15,16,18,19,26,30,32,33])).
% 58.59/58.66 cnf(79,plain,
% 58.59/58.66 (P4(a1,a2)),
% 58.59/58.66 inference(scs_inference,[],[1,7,3,4,5,71,10,11,24,17,12,13,15,16,18,19,26,30,32,33,29])).
% 58.59/58.66 cnf(111,plain,
% 58.59/58.66 (~P2(f5(a3,a4),f6(a1,x1111))),
% 58.59/58.66 inference(scs_inference,[],[6,2,76,66,79,10,15,26,24,23,13,16,17,31])).
% 58.59/58.66 cnf(879,plain,
% 58.59/58.66 (P1(a4,a3)),
% 58.59/58.66 inference(scs_inference,[],[2,5,11,33,32])).
% 58.59/58.66 cnf(1251,plain,
% 58.59/58.66 (~P9(f5(a1,a2),a3)+P2(f5(a1,a2),a4)),
% 58.59/58.66 inference(scs_inference,[],[34,25])).
% 58.59/58.66 cnf(5455,plain,
% 58.59/58.66 (~P4(f6(x54551,x54552),x54551)),
% 58.59/58.66 inference(rename_variables,[],[66])).
% 58.59/58.66 cnf(5460,plain,
% 58.59/58.66 (~P4(x54601,f6(x54601,x54602))),
% 58.59/58.66 inference(scs_inference,[],[66,5455,111,5,31,30,19])).
% 58.59/58.66 cnf(6409,plain,
% 58.59/58.66 (P4(a2,f6(a1,x64091))),
% 58.59/58.66 inference(scs_inference,[],[79,5460,29])).
% 58.59/58.66 cnf(7300,plain,
% 58.59/58.66 (P1(f6(a1,x73001),a2)),
% 58.59/58.66 inference(scs_inference,[],[4,6409,29,19])).
% 58.59/58.66 cnf(13887,plain,
% 58.59/58.66 (~P2(x138871,x138872)),
% 58.59/58.66 inference(scs_inference,[],[1,5460,7300,879,11,8,49,50,15,24,17,31])).
% 58.59/58.66 cnf(13913,plain,
% 58.59/58.66 (~P9(f5(a1,a2),a3)),
% 58.59/58.66 inference(scs_inference,[],[13887,1251])).
% 58.59/58.66 cnf(13915,plain,
% 58.59/58.66 (P9(x139151,x139152)),
% 58.59/58.66 inference(scs_inference,[],[13887,17])).
% 58.59/58.66 cnf(13933,plain,
% 58.59/58.66 ($false),
% 58.59/58.66 inference(scs_inference,[],[13915,13913]),
% 58.59/58.66 ['proof']).
% 58.59/58.66 % SZS output end Proof
% 58.59/58.66 % Total time :58.020000s
%------------------------------------------------------------------------------