%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO203+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 06:04:30 EDT 2024
% Result : Theorem 58.58s 58.67s
% Output : CNFRefutation 58.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO203+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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 06:37:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 58.58/58.65 %-------------------------------------------
% 58.58/58.65 % File :CSE---1.7
% 58.58/58.65 % Problem :theBenchmark
% 58.58/58.65 % Transform :cnf
% 58.58/58.65 % Format :tptp:raw
% 58.58/58.65 % Command :java -jar mcs_scs.jar %d %s
% 58.58/58.65
% 58.58/58.65 % Result :Theorem 58.030000s
% 58.58/58.65 % Output :CNFRefutation 58.030000s
% 58.58/58.65 %-------------------------------------------
% 58.58/58.66 %------------------------------------------------------------------------------
% 58.58/58.66 % File : GEO203+3 : TPTP v8.2.0. Released v4.0.0.
% 58.58/58.66 % Domain : Geometry (Constructive)
% 58.58/58.66 % Problem : Equal lines from points
% 58.58/58.66 % Version : [vPl95] axioms.
% 58.58/58.66 % English : If the lines X and Y are convergent, and X and Z are convergent,
% 58.58/58.66 % the intersection point of X and Y, and the intersection point
% 58.58/58.66 % of X and Z are distinct, then the line connecting these points
% 58.58/58.66 % is equal to X.
% 58.58/58.66
% 58.58/58.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.58/58.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.58/58.66 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.58/58.66 % Source : [Rat07]
% 58.58/58.66 % Names : Theorem 5.4 [vPl95]
% 58.58/58.66
% 58.58/58.66 % Status : Theorem
% 58.58/58.66 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.25 v5.5.0, 0.29 v5.4.0, 0.30 v5.3.0, 0.39 v5.2.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.33 v4.0.1, 0.32 v4.0.0
% 58.58/58.66 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.58/58.66 % Number of atoms : 97 ( 0 equ)
% 58.58/58.66 % Maximal formula atoms : 6 ( 2 avg)
% 58.58/58.67 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 58.58/58.67 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.58/58.67 % Maximal formula depth : 9 ( 5 avg)
% 58.58/58.67 % Maximal term depth : 3 ( 1 avg)
% 58.58/58.67 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.58/58.67 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.58/58.67 % Number of variables : 84 ( 84 !; 0 ?)
% 58.58/58.67 % SPC : FOF_THM_RFO_NEQ
% 58.58/58.67
% 58.58/58.67 % Comments :
% 58.58/58.67 %------------------------------------------------------------------------------
% 58.58/58.67 include('Axioms/GEO006+0.ax').
% 58.58/58.67 include('Axioms/GEO006+1.ax').
% 58.58/58.67 include('Axioms/GEO006+2.ax').
% 58.58/58.67 include('Axioms/GEO006+3.ax').
% 58.58/58.67 include('Axioms/GEO006+4.ax').
% 58.58/58.67 include('Axioms/GEO006+5.ax').
% 58.58/58.67 include('Axioms/GEO006+6.ax').
% 58.58/58.67 %------------------------------------------------------------------------------
% 58.58/58.67 fof(con,conjecture,
% 58.58/58.67 ! [X,Y,Z] :
% 58.58/58.67 ( ( convergent_lines(X,Y)
% 58.58/58.67 & convergent_lines(X,Z)
% 58.58/58.67 & distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
% 58.58/58.67 => equal_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ).
% 58.58/58.67
% 58.58/58.67 %------------------------------------------------------------------------------
% 58.58/58.67 %-------------------------------------------
% 58.58/58.67 % Proof found
% 58.58/58.67 % SZS status Theorem for theBenchmark
% 58.58/58.67 % SZS output start Proof
% 58.58/58.68 %ClaNum:50(EqnAxiom:0)
% 58.58/58.68 %VarNum:218(SingletonVarNum:98)
% 58.58/58.68 %MaxLitNum:6
% 58.58/58.68 %MaxfuncDepth:2
% 58.58/58.68 %SharedTerms:10
% 58.58/58.68 %goalClause: 1 2 3 11
% 58.58/58.68 %singleGoalClaCount:4
% 58.58/58.68 [1]P1(a1,a2)
% 58.58/58.68 [2]P1(a1,a3)
% 58.58/58.68 [3]P3(f4(a1,a2),f4(a1,a3))
% 58.58/58.68 [11]~P6(f7(f4(a1,a2),f4(a1,a3)),a1)
% 58.58/58.68 [4]~P3(x41,x41)
% 58.58/58.68 [5]~P4(x51,x51)
% 58.58/58.68 [6]~P1(x61,x61)
% 58.58/58.68 [7]~P2(x71,f5(x72,x71))
% 58.58/58.68 [8]~P2(x81,f6(x82,x81))
% 58.58/58.68 [9]~P1(f5(x91,x92),x91)
% 58.58/58.68 [10]~P5(f6(x101,x102),x101)
% 58.58/58.68 [12]P7(x121,x122)+P3(x121,x122)
% 58.58/58.68 [13]P6(x131,x132)+P4(x131,x132)
% 58.58/58.68 [15]P5(x151,x152)+P1(x151,x152)
% 58.58/58.68 [16]P8(x161,x162)+P1(x161,x162)
% 58.58/58.68 [17]P9(x171,x172)+P2(x171,x172)
% 58.58/58.68 [18]P10(x181,x182)+P5(x181,x182)
% 58.58/58.68 [19]~P4(x191,x192)+P1(x191,x192)
% 58.58/58.68 [22]~P7(x221,x222)+~P3(x221,x222)
% 58.58/58.68 [23]~P6(x231,x232)+~P4(x231,x232)
% 58.58/58.68 [24]~P8(x241,x242)+~P1(x241,x242)
% 58.58/58.68 [25]~P9(x251,x252)+~P2(x251,x252)
% 58.58/58.68 [26]~P10(x261,x262)+~P5(x261,x262)
% 58.58/58.68 [46]~P3(x461,x462)+~P2(x462,f7(x461,x462))
% 58.58/58.68 [47]~P3(x471,x472)+~P2(x471,f7(x471,x472))
% 58.58/58.68 [48]~P1(x481,x482)+~P2(f4(x481,x482),x482)
% 58.58/58.68 [49]~P1(x491,x492)+~P2(f4(x491,x492),x491)
% 58.58/58.68 [20]~P12(x202)+~P11(x201)+P11(f5(x201,x202))
% 58.58/58.68 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 58.58/58.68 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 58.58/58.68 [28]~P2(x281,x283)+P3(x281,x282)+P2(x282,x283)
% 58.58/58.68 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 58.58/58.68 [30]~P1(x303,x301)+P4(x301,x302)+P1(x303,x302)
% 58.58/58.68 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 58.58/58.68 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 58.58/58.68 [33]~P1(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 58.58/58.68 [35]~P11(x352)+~P11(x351)+~P1(x351,x352)+P12(f4(x351,x352))
% 58.58/58.68 [36]~P12(x362)+~P12(x361)+~P3(x361,x362)+P11(f7(x361,x362))
% 58.58/58.68 [38]~P1(x381,x383)+~P5(x381,x383)+P1(x381,x382)+P5(x383,x382)
% 58.58/58.68 [39]~P1(x392,x393)+~P5(x392,x393)+P1(x391,x392)+P1(x391,x393)
% 58.58/58.68 [40]~P1(x402,x403)+~P5(x402,x403)+P1(x401,x402)+P5(x401,x403)
% 58.58/58.68 [41]~P1(x413,x411)+~P5(x413,x411)+P1(x411,x412)+P5(x413,x412)
% 58.58/58.68 [42]~P1(x423,x422)+~P5(x423,x422)+P1(x421,x422)+P5(x421,x423)
% 58.58/58.68 [43]~P1(x431,x433)+~P5(x431,x433)+P5(x431,x432)+P5(x433,x432)
% 58.58/58.68 [45]P5(x453,x454)+~P4(x453,x452)+P2(x451,x452)+P2(x451,x453)+P5(x452,x454)
% 58.58/58.68 [50]P2(x504,x503)+~P3(x504,x501)+~P4(x503,x502)+P2(x501,x502)+P2(x501,x503)+P2(x504,x502)
% 58.58/58.68 %EqnAxiom
% 58.58/58.68
% 58.58/58.68 %-------------------------------------------
% 58.58/58.70 cnf(51,plain,
% 58.58/58.70 (~P8(a1,a2)),
% 58.58/58.70 inference(scs_inference,[],[1,24])).
% 58.58/58.70 cnf(53,plain,
% 58.58/58.70 (~P7(f4(a1,a2),f4(a1,a3))),
% 58.58/58.70 inference(scs_inference,[],[1,3,24,22])).
% 58.58/58.70 cnf(67,plain,
% 58.58/58.70 (~P4(f5(x671,x672),x671)),
% 58.58/58.70 inference(scs_inference,[],[1,3,4,5,6,7,9,10,24,22,12,13,15,16,17,18,19])).
% 58.58/58.70 cnf(71,plain,
% 58.58/58.70 (P3(f4(a1,a3),f4(a1,a2))),
% 58.58/58.70 inference(scs_inference,[],[1,3,4,5,6,7,9,10,24,22,12,13,15,16,17,18,19,26,27])).
% 58.58/58.70 cnf(75,plain,
% 58.58/58.70 (~P1(x751,x751)),
% 58.58/58.70 inference(rename_variables,[],[6])).
% 58.58/58.70 cnf(77,plain,
% 58.58/58.70 (P1(a2,a1)),
% 58.58/58.70 inference(scs_inference,[],[1,3,4,5,6,75,7,9,10,24,22,12,13,15,16,17,18,19,26,27,30,32])).
% 58.58/58.70 cnf(80,plain,
% 58.58/58.70 (P5(f6(a1,x801),a2)),
% 58.58/58.70 inference(scs_inference,[],[1,3,4,5,6,75,7,9,10,24,22,12,13,15,16,17,18,19,26,27,30,32,33])).
% 58.58/58.70 cnf(83,plain,
% 58.58/58.70 (P4(a1,a2)),
% 58.58/58.70 inference(scs_inference,[],[1,3,4,5,6,75,7,9,10,24,22,12,13,15,16,17,18,19,26,27,30,32,33,29])).
% 58.58/58.70 cnf(105,plain,
% 58.58/58.70 (P5(f5(x1051,x1052),x1051)),
% 58.58/58.70 inference(scs_inference,[],[71,67,9,13,22,15])).
% 58.58/58.70 cnf(117,plain,
% 58.58/58.70 (~P2(x1171,f5(f6(x1172,x1171),x1173))),
% 58.58/58.70 inference(scs_inference,[],[2,71,80,8,67,83,9,13,22,15,17,23,16,26,24,31])).
% 58.58/58.70 cnf(118,plain,
% 58.58/58.70 (~P4(f5(x1181,x1182),x1181)),
% 58.58/58.70 inference(rename_variables,[],[67])).
% 58.58/58.70 cnf(120,plain,
% 58.58/58.70 (~P1(f5(x1201,x1202),f5(x1201,x1203))),
% 58.58/58.70 inference(scs_inference,[],[2,71,80,8,67,118,83,9,13,22,15,17,23,16,26,24,31,30])).
% 58.58/58.70 cnf(123,plain,
% 58.58/58.70 (~P4(f5(x1231,x1232),f5(x1231,x1233))),
% 58.58/58.70 inference(scs_inference,[],[2,71,80,8,67,118,83,9,13,22,15,17,23,16,26,24,31,30,19])).
% 58.58/58.70 cnf(151,plain,
% 58.58/58.70 (~P1(f5(f5(x1511,x1512),x1513),f5(x1511,x1514))),
% 58.58/58.70 inference(scs_inference,[],[120,77,105,123,117,9,17,13,16,26,15,24,32])).
% 58.58/58.70 cnf(231,plain,
% 58.58/58.70 (~P2(f4(a1,a3),f7(f4(a1,a2),f4(a1,a3)))),
% 58.58/58.70 inference(scs_inference,[],[53,46,12])).
% 58.58/58.70 cnf(291,plain,
% 58.58/58.70 (~P2(f4(f6(x2911,x2912),x2911),x2911)),
% 58.58/58.70 inference(scs_inference,[],[10,48,15])).
% 58.58/58.70 cnf(309,plain,
% 58.58/58.70 (~P2(f4(a1,a2),a1)),
% 58.58/58.70 inference(scs_inference,[],[51,49,16])).
% 58.58/58.70 cnf(368,plain,
% 58.58/58.70 (P1(a3,a1)),
% 58.58/58.70 inference(scs_inference,[],[2,6,10,33,32])).
% 58.58/58.70 cnf(369,plain,
% 58.58/58.70 (~P1(x3691,x3691)),
% 58.58/58.70 inference(rename_variables,[],[6])).
% 58.58/58.70 cnf(371,plain,
% 58.58/58.70 (P4(a3,a1)),
% 58.58/58.70 inference(scs_inference,[],[2,6,369,10,33,32,30])).
% 58.58/58.70 cnf(4292,plain,
% 58.58/58.70 (~P2(f4(a1,a2),f7(f4(a1,a2),f4(a1,a3)))),
% 58.58/58.70 inference(scs_inference,[],[4,3,28,47])).
% 58.58/58.70 cnf(4910,plain,
% 58.58/58.70 (~P2(f4(a1,a2),f5(a1,x49101))),
% 58.58/58.70 inference(scs_inference,[],[67,309,31])).
% 58.58/58.70 cnf(4911,plain,
% 58.58/58.70 (~P4(f5(x49111,x49112),x49111)),
% 58.58/58.70 inference(rename_variables,[],[67])).
% 58.58/58.70 cnf(4920,plain,
% 58.58/58.70 (~P4(f5(x49201,x49202),f5(f5(x49201,x49203),x49204))),
% 58.58/58.70 inference(scs_inference,[],[67,4911,309,120,31,30,17,15,19])).
% 58.58/58.70 cnf(4943,plain,
% 58.58/58.70 (~P2(f4(f6(x49431,x49432),x49431),f5(x49431,x49433))),
% 58.58/58.70 inference(scs_inference,[],[67,291,31])).
% 58.58/58.70 cnf(4946,plain,
% 58.58/58.70 (~P1(f5(f5(x49461,x49462),x49463),f5(f5(x49461,x49464),x49465))),
% 58.58/58.70 inference(scs_inference,[],[67,291,151,31,30])).
% 58.58/58.70 cnf(4962,plain,
% 58.58/58.70 (~P2(x49621,f5(f5(x49622,x49621),x49623))),
% 58.58/58.70 inference(scs_inference,[],[67,7,4943,17,31])).
% 58.58/58.70 cnf(4963,plain,
% 58.58/58.70 (~P4(f5(x49631,x49632),x49631)),
% 58.58/58.70 inference(rename_variables,[],[67])).
% 58.58/58.70 cnf(4965,plain,
% 58.58/58.70 (~P1(x49651,f5(x49651,x49652))),
% 58.58/58.70 inference(scs_inference,[],[67,4963,7,6,4943,17,31,30])).
% 58.58/58.70 cnf(4968,plain,
% 58.58/58.70 (~P4(x49681,f5(x49681,x49682))),
% 58.58/58.70 inference(scs_inference,[],[67,4963,7,6,4943,17,31,30,19])).
% 58.58/58.70 cnf(4970,plain,
% 58.58/58.70 (P5(x49701,f5(x49701,x49702))),
% 58.58/58.70 inference(scs_inference,[],[67,4963,7,6,4943,17,31,30,19,15])).
% 58.58/58.70 cnf(4993,plain,
% 58.58/58.70 (~P4(f5(x49931,x49932),x49931)),
% 58.58/58.70 inference(rename_variables,[],[67])).
% 58.58/58.70 cnf(4996,plain,
% 58.58/58.70 (~P1(x49961,f5(x49961,x49962))),
% 58.58/58.70 inference(rename_variables,[],[4965])).
% 58.58/58.70 cnf(5003,plain,
% 58.58/58.70 (~P4(x50031,f5(f5(x50031,x50032),x50033))),
% 58.58/58.70 inference(scs_inference,[],[67,4993,2,4965,4996,4910,4970,4962,17,26,31,32,30,24,19])).
% 58.58/58.70 cnf(6715,plain,
% 58.58/58.70 (P4(a2,f5(a1,x67151))),
% 58.58/58.70 inference(scs_inference,[],[83,4968,29])).
% 58.58/58.70 cnf(7584,plain,
% 58.58/58.70 (P1(a2,f5(a1,x75841))),
% 58.58/58.70 inference(scs_inference,[],[6715,19])).
% 58.58/58.70 cnf(7621,plain,
% 58.58/58.70 (~P1(f5(f5(x76211,x76212),x76213),x76211)),
% 58.58/58.70 inference(scs_inference,[],[4946,5003,30])).
% 58.58/58.70 cnf(7624,plain,
% 58.58/58.70 (P5(f5(f5(x76241,x76242),x76243),x76241)),
% 58.58/58.70 inference(scs_inference,[],[4946,5003,30,15])).
% 58.58/58.70 cnf(10262,plain,
% 58.58/58.70 (P4(f7(f4(a1,a2),f4(a1,a3)),a1)),
% 58.58/58.70 inference(scs_inference,[],[1,7584,11,71,46,48,49,13])).
% 58.58/58.70 cnf(10270,plain,
% 58.58/58.70 (P1(f6(x102701,x102702),x102701)),
% 58.58/58.70 inference(scs_inference,[],[1,7584,11,7624,71,7621,10,46,48,49,13,26,19,16,15])).
% 58.58/58.70 cnf(10275,plain,
% 58.58/58.70 (~P2(x102751,f5(x102752,x102753))),
% 58.58/58.70 inference(scs_inference,[],[1,7584,11,371,4920,7624,4962,71,5003,7621,10,46,48,49,13,26,19,16,15,29,31])).
% 58.58/58.70 cnf(10282,plain,
% 58.58/58.71 (P4(f5(a1,x102821),f5(a2,x102822))),
% 58.58/58.71 inference(scs_inference,[],[1,7584,11,371,4920,7624,4962,71,5003,4965,7621,10,46,48,49,13,26,19,16,15,29,31,24,23,30])).
% 58.58/58.71 cnf(10318,plain,
% 58.58/58.71 ($false),
% 58.58/58.71 inference(scs_inference,[],[1,10270,10275,10282,10262,4920,4968,4292,3,368,309,4965,9,10,231,49,48,23,32,29,41,50,25,24,18,33,31]),
% 58.58/58.71 ['proof']).
% 58.58/58.71 % SZS output end Proof
% 58.58/58.71 % Total time :58.030000s
%------------------------------------------------------------------------------