%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO172+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 : n032.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 06:04:09 EDT 2024
% Result : Theorem 58.60s 58.67s
% Output : CNFRefutation 58.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO172+3 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Fri Jun 21 07:41:54 EDT 2024
% 0.09/0.27 % CPUTime :
% 0.13/0.47 start to proof:theBenchmark
% 58.60/58.65 %-------------------------------------------
% 58.60/58.65 % File :CSE---1.7
% 58.60/58.65 % Problem :theBenchmark
% 58.60/58.65 % Transform :cnf
% 58.60/58.65 % Format :tptp:raw
% 58.60/58.65 % Command :java -jar mcs_scs.jar %d %s
% 58.60/58.65
% 58.60/58.65 % Result :Theorem 58.150000s
% 58.60/58.65 % Output :CNFRefutation 58.150000s
% 58.60/58.65 %-------------------------------------------
% 58.60/58.66 %------------------------------------------------------------------------------
% 58.60/58.66 % File : GEO172+3 : TPTP v8.2.0. Released v4.0.0.
% 58.60/58.66 % Domain : Geometry (Constructive)
% 58.60/58.66 % Problem : Uniqueness of constructed points
% 58.60/58.66 % Version : [vPl95] axioms.
% 58.60/58.66 % English : If two lines are convergent and there is a point that is
% 58.60/58.66 % incident with both lines, then this point is equivalent to the
% 58.60/58.66 % intersection point of these lines.
% 58.60/58.66
% 58.60/58.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.60/58.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.60/58.66 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.60/58.66 % Source : [Rat07]
% 58.60/58.66 % Names : Theorem 3.3 [vPl95]
% 58.60/58.66
% 58.60/58.66 % Status : Theorem
% 58.60/58.66 % Rating : 0.00 v6.1.0, 0.12 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, 0.22 v4.0.1, 0.21 v4.0.0
% 58.60/58.66 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.60/58.66 % Number of atoms : 97 ( 0 equ)
% 58.60/58.66 % Maximal formula atoms : 6 ( 2 avg)
% 58.60/58.66 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 58.60/58.66 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.60/58.66 % Maximal formula depth : 9 ( 5 avg)
% 58.60/58.66 % Maximal term depth : 2 ( 1 avg)
% 58.60/58.66 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.60/58.66 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.60/58.66 % Number of variables : 84 ( 84 !; 0 ?)
% 58.60/58.66 % SPC : FOF_THM_RFO_NEQ
% 58.60/58.66
% 58.60/58.66 % Comments :
% 58.60/58.66 %------------------------------------------------------------------------------
% 58.60/58.66 include('Axioms/GEO006+0.ax').
% 58.60/58.66 include('Axioms/GEO006+1.ax').
% 58.60/58.66 include('Axioms/GEO006+2.ax').
% 58.60/58.66 include('Axioms/GEO006+3.ax').
% 58.60/58.66 include('Axioms/GEO006+4.ax').
% 58.60/58.66 include('Axioms/GEO006+5.ax').
% 58.60/58.67 include('Axioms/GEO006+6.ax').
% 58.60/58.67 %------------------------------------------------------------------------------
% 58.60/58.67 fof(con,conjecture,
% 58.60/58.67 ! [X,Y,Z] :
% 58.60/58.67 ( ( convergent_lines(X,Y)
% 58.60/58.67 & incident_point_and_line(Z,X)
% 58.60/58.67 & incident_point_and_line(Z,Y) )
% 58.60/58.67 => equal_points(Z,intersection_point(X,Y)) ) ).
% 58.60/58.67
% 58.60/58.67 %------------------------------------------------------------------------------
% 58.60/58.67 %-------------------------------------------
% 58.60/58.67 % Proof found
% 58.60/58.67 % SZS status Theorem for theBenchmark
% 58.60/58.67 % SZS output start Proof
% 58.60/58.67 %ClaNum:50(EqnAxiom:0)
% 58.60/58.67 %VarNum:218(SingletonVarNum:98)
% 58.60/58.67 %MaxLitNum:6
% 58.60/58.67 %MaxfuncDepth:1
% 58.60/58.67 %SharedTerms:8
% 58.60/58.67 %goalClause: 1 2 3 7
% 58.60/58.67 %singleGoalClaCount:4
% 58.60/58.67 [1]P1(a1,a2)
% 58.60/58.67 [2]P3(a3,a1)
% 58.60/58.67 [3]P3(a3,a2)
% 58.60/58.67 [7]~P6(a3,f4(a1,a2))
% 58.60/58.67 [4]~P4(x41,x41)
% 58.60/58.67 [5]~P5(x51,x51)
% 58.60/58.67 [6]~P1(x61,x61)
% 58.60/58.67 [8]~P2(x81,f5(x82,x81))
% 58.60/58.67 [9]~P2(x91,f6(x92,x91))
% 58.60/58.67 [10]~P1(f5(x101,x102),x101)
% 58.60/58.68 [11]~P8(f6(x111,x112),x111)
% 58.60/58.68 [12]P6(x121,x122)+P4(x121,x122)
% 58.60/58.68 [13]P7(x131,x132)+P5(x131,x132)
% 58.60/58.68 [15]P8(x151,x152)+P1(x151,x152)
% 58.60/58.68 [16]P9(x161,x162)+P1(x161,x162)
% 58.60/58.68 [17]P3(x171,x172)+P2(x171,x172)
% 58.60/58.68 [18]P10(x181,x182)+P8(x181,x182)
% 58.60/58.68 [19]~P5(x191,x192)+P1(x191,x192)
% 58.60/58.68 [22]~P6(x221,x222)+~P4(x221,x222)
% 58.60/58.68 [23]~P7(x231,x232)+~P5(x231,x232)
% 58.60/58.68 [24]~P9(x241,x242)+~P1(x241,x242)
% 58.60/58.68 [25]~P3(x251,x252)+~P2(x251,x252)
% 58.60/58.68 [26]~P10(x261,x262)+~P8(x261,x262)
% 58.60/58.68 [46]~P4(x461,x462)+~P2(x462,f7(x461,x462))
% 58.60/58.68 [47]~P4(x471,x472)+~P2(x471,f7(x471,x472))
% 58.60/58.68 [48]~P1(x481,x482)+~P2(f4(x481,x482),x482)
% 58.60/58.68 [49]~P1(x491,x492)+~P2(f4(x491,x492),x491)
% 58.60/58.68 [20]~P12(x202)+~P11(x201)+P11(f5(x201,x202))
% 58.60/58.68 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 58.60/58.68 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 58.60/58.68 [28]~P2(x281,x283)+P4(x281,x282)+P2(x282,x283)
% 58.60/58.68 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 58.60/58.68 [30]~P1(x303,x301)+P5(x301,x302)+P1(x303,x302)
% 58.60/58.68 [31]~P2(x313,x311)+P5(x311,x312)+P2(x313,x312)
% 58.60/58.68 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 58.60/58.68 [33]~P1(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 58.60/58.68 [35]~P11(x352)+~P11(x351)+~P1(x351,x352)+P12(f4(x351,x352))
% 58.60/58.68 [36]~P12(x362)+~P12(x361)+~P4(x361,x362)+P11(f7(x361,x362))
% 58.60/58.68 [38]~P1(x381,x383)+~P8(x381,x383)+P1(x381,x382)+P8(x383,x382)
% 58.60/58.68 [39]~P1(x392,x393)+~P8(x392,x393)+P1(x391,x392)+P1(x391,x393)
% 58.60/58.68 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P8(x401,x403)
% 58.60/58.68 [41]~P1(x413,x411)+~P8(x413,x411)+P1(x411,x412)+P8(x413,x412)
% 58.60/58.68 [42]~P1(x423,x422)+~P8(x423,x422)+P1(x421,x422)+P8(x421,x423)
% 58.60/58.68 [43]~P1(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 58.60/58.68 [45]P8(x453,x454)+~P5(x453,x452)+P2(x451,x452)+P2(x451,x453)+P8(x452,x454)
% 58.60/58.68 [50]P2(x504,x503)+~P4(x504,x501)+~P5(x503,x502)+P2(x501,x502)+P2(x501,x503)+P2(x504,x502)
% 58.60/58.68 %EqnAxiom
% 58.60/58.68
% 58.60/58.68 %-------------------------------------------
% 58.65/58.69 cnf(61,plain,
% 58.65/58.69 (~P5(f5(x611,x612),x611)),
% 58.65/58.69 inference(scs_inference,[],[1,4,6,8,10,24,12,16,15,17,19])).
% 58.65/58.69 cnf(69,plain,
% 58.65/58.69 (P5(a2,a1)),
% 58.65/58.69 inference(scs_inference,[],[1,4,5,6,8,10,11,24,12,16,15,17,19,13,18,26,30])).
% 58.65/58.69 cnf(70,plain,
% 58.65/58.69 (~P1(x701,x701)),
% 58.65/58.69 inference(rename_variables,[],[6])).
% 58.65/58.69 cnf(72,plain,
% 58.65/58.69 (P1(a2,a1)),
% 58.65/58.69 inference(scs_inference,[],[1,4,5,6,70,8,10,11,24,12,16,15,17,19,13,18,26,30,32])).
% 58.65/58.69 cnf(75,plain,
% 58.65/58.69 (P8(f6(a1,x751),a2)),
% 58.65/58.69 inference(scs_inference,[],[1,4,5,6,70,8,10,11,24,12,16,15,17,19,13,18,26,30,32,33])).
% 58.65/58.69 cnf(78,plain,
% 58.65/58.69 (P5(a1,a2)),
% 58.65/58.69 inference(scs_inference,[],[1,4,5,6,70,8,10,11,24,12,16,15,17,19,13,18,26,30,32,33,29])).
% 58.65/58.69 cnf(106,plain,
% 58.65/58.69 (P8(f5(x1061,x1062),x1061)),
% 58.65/58.69 inference(scs_inference,[],[72,61,9,78,10,23,13,24,17,16,15])).
% 58.65/58.69 cnf(110,plain,
% 58.65/58.69 (~P2(x1101,f5(f6(x1102,x1101),x1103))),
% 58.65/58.69 inference(scs_inference,[],[72,75,61,9,78,10,23,13,24,17,16,15,26,31])).
% 58.65/58.69 cnf(111,plain,
% 58.65/58.69 (~P5(f5(x1111,x1112),x1111)),
% 58.65/58.69 inference(rename_variables,[],[61])).
% 58.65/58.69 cnf(113,plain,
% 58.65/58.69 (~P1(f5(x1131,x1132),f5(x1131,x1133))),
% 58.65/58.69 inference(scs_inference,[],[72,75,61,111,9,78,10,23,13,24,17,16,15,26,31,30])).
% 58.65/58.69 cnf(116,plain,
% 58.65/58.69 (~P5(f5(x1161,x1162),f5(x1161,x1163))),
% 58.65/58.69 inference(scs_inference,[],[72,75,61,111,9,78,10,23,13,24,17,16,15,26,31,30,19])).
% 58.65/58.69 cnf(145,plain,
% 58.65/58.69 (~P2(x1451,f5(x1452,x1453))),
% 58.65/58.69 inference(scs_inference,[],[113,106,116,8,110,10,13,26,15,16,17,32,31])).
% 58.65/58.69 cnf(4458,plain,
% 58.65/58.69 (~P1(x44581,f5(x44581,x44582))),
% 58.65/58.69 inference(scs_inference,[],[61,6,30])).
% 58.65/58.69 cnf(4461,plain,
% 58.65/58.69 (~P5(x44611,f5(x44611,x44612))),
% 58.65/58.69 inference(scs_inference,[],[61,6,30,19])).
% 58.65/58.69 cnf(4465,plain,
% 58.65/58.69 (P8(x44651,f5(x44651,x44652))),
% 58.65/58.69 inference(scs_inference,[],[61,6,30,19,13,15])).
% 58.65/58.69 cnf(4469,plain,
% 58.65/58.69 (P5(a1,f5(a2,x44691))),
% 58.65/58.69 inference(scs_inference,[],[61,69,6,30,19,13,15,16,29])).
% 58.65/58.69 cnf(4483,plain,
% 58.65/58.69 (~P1(x44831,f5(x44831,x44832))),
% 58.65/58.69 inference(rename_variables,[],[4458])).
% 58.65/58.69 cnf(4488,plain,
% 58.65/58.69 (~P5(x44881,f5(f5(x44881,x44882),x44883))),
% 58.65/58.69 inference(scs_inference,[],[61,1,4458,4483,4465,26,32,30,19])).
% 58.65/58.69 cnf(4498,plain,
% 58.65/58.69 (P5(a1,f5(f5(a2,x44981),x44982))),
% 58.65/58.69 inference(scs_inference,[],[61,1,69,4458,4483,4465,26,32,30,19,24,13,16,15,29])).
% 58.65/58.69 cnf(8823,plain,
% 58.65/58.69 (P5(f5(f5(a2,x88231),x88232),f5(a1,x88233))),
% 58.65/58.69 inference(scs_inference,[],[4461,4498,29])).
% 58.65/58.69 cnf(8831,plain,
% 58.65/58.69 (P5(f5(a2,x88311),f5(f5(a1,x88312),x88313))),
% 58.65/58.69 inference(scs_inference,[],[4488,4469,8823,19,23,29])).
% 58.65/58.69 cnf(8849,plain,
% 58.65/58.69 (P5(f5(a2,x88491),f5(a1,x88492))),
% 58.65/58.69 inference(scs_inference,[],[4461,4469,8831,23,29])).
% 58.65/58.69 cnf(9045,plain,
% 58.65/58.69 (P5(f5(a1,x90451),a2)),
% 58.65/58.69 inference(scs_inference,[],[61,8849,29])).
% 58.65/58.69 cnf(11475,plain,
% 58.65/58.69 (~P2(x114751,x114752)),
% 58.65/58.69 inference(scs_inference,[],[145,4488,31])).
% 58.65/58.69 cnf(13410,plain,
% 58.65/58.69 (P4(a3,f4(a1,a2))),
% 58.65/58.69 inference(scs_inference,[],[7,12])).
% 58.65/58.69 cnf(13554,plain,
% 58.65/58.69 (P2(a3,a2)+P2(f4(a1,a2),a2)+P2(f4(a1,a2),f5(a1,x135541))),
% 58.65/58.69 inference(scs_inference,[],[13410,9045,11475,50])).
% 58.65/58.69 cnf(13555,plain,
% 58.65/58.69 (P2(f4(a1,a2),a2)+P2(a3,a2)),
% 58.65/58.69 inference(scs_inference,[],[11475,13554])).
% 58.65/58.69 cnf(13560,plain,
% 58.65/58.69 (P2(f4(a1,a2),a2)),
% 58.65/58.69 inference(scs_inference,[],[11475,13555])).
% 58.65/58.69 cnf(13566,plain,
% 58.65/58.69 ($false),
% 58.65/58.69 inference(scs_inference,[],[13560,11475]),
% 58.65/58.69 ['proof']).
% 58.65/58.70 % SZS output end Proof
% 58.65/58.70 % Total time :58.150000s
%------------------------------------------------------------------------------