%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO202+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 : n021.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 06:04:29 EDT 2024
% Result : Theorem 58.51s 58.60s
% Output : CNFRefutation 58.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO202+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n021.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
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 06:20:39 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.50 start to proof:theBenchmark
% 58.51/58.59 %-------------------------------------------
% 58.51/58.59 % File :CSE---1.7
% 58.51/58.59 % Problem :theBenchmark
% 58.51/58.59 % Transform :cnf
% 58.51/58.59 % Format :tptp:raw
% 58.51/58.59 % Command :java -jar mcs_scs.jar %d %s
% 58.51/58.59
% 58.51/58.59 % Result :Theorem 58.030000s
% 58.51/58.59 % Output :CNFRefutation 58.030000s
% 58.51/58.59 %-------------------------------------------
% 58.51/58.60 %------------------------------------------------------------------------------
% 58.51/58.60 % File : GEO202+3 : TPTP v8.2.0. Released v4.0.0.
% 58.51/58.60 % Domain : Geometry (Constructive)
% 58.51/58.60 % Problem : Diverging lines have equal ends
% 58.51/58.60 % Version : [vPl95] axioms.
% 58.51/58.60 % English : If the point X is distinct to the points Y and Z, and the lines
% 58.51/58.60 % connecting X and Y, and connecting X and Z are convergent, then
% 58.51/58.60 % the intersection point of these lines is equal to X.
% 58.51/58.60
% 58.51/58.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.51/58.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.51/58.60 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.51/58.60 % Source : [Rat07]
% 58.51/58.60 % Names : Theorem 5.3 [vPl95]
% 58.51/58.60
% 58.51/58.60 % Status : Theorem
% 58.51/58.60 % Rating : 0.00 v6.1.0, 0.12 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, 0.20 v4.1.0, 0.28 v4.0.1, 0.26 v4.0.0
% 58.51/58.60 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.51/58.60 % Number of atoms : 97 ( 0 equ)
% 58.51/58.60 % Maximal formula atoms : 6 ( 2 avg)
% 58.51/58.60 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 58.51/58.60 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.51/58.60 % Maximal formula depth : 9 ( 5 avg)
% 58.51/58.60 % Maximal term depth : 3 ( 1 avg)
% 58.51/58.60 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.51/58.60 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.51/58.60 % Number of variables : 84 ( 84 !; 0 ?)
% 58.51/58.60 % SPC : FOF_THM_RFO_NEQ
% 58.51/58.60
% 58.51/58.60 % Comments :
% 58.51/58.60 %------------------------------------------------------------------------------
% 58.51/58.60 include('Axioms/GEO006+0.ax').
% 58.51/58.60 include('Axioms/GEO006+1.ax').
% 58.51/58.60 include('Axioms/GEO006+2.ax').
% 58.51/58.60 include('Axioms/GEO006+3.ax').
% 58.51/58.60 include('Axioms/GEO006+4.ax').
% 58.51/58.60 include('Axioms/GEO006+5.ax').
% 58.51/58.60 include('Axioms/GEO006+6.ax').
% 58.51/58.60 %------------------------------------------------------------------------------
% 58.51/58.60 fof(con,conjecture,
% 58.51/58.60 ! [X,Y,Z] :
% 58.51/58.60 ( ( distinct_points(X,Y)
% 58.51/58.60 & distinct_points(X,Z)
% 58.51/58.60 & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
% 58.51/58.60 => equal_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ).
% 58.51/58.60
% 58.51/58.60 %------------------------------------------------------------------------------
% 58.51/58.60 %-------------------------------------------
% 58.51/58.60 % Proof found
% 58.51/58.60 % SZS status Theorem for theBenchmark
% 58.51/58.60 % SZS output start Proof
% 58.51/58.62 %ClaNum:50(EqnAxiom:0)
% 58.51/58.62 %VarNum:218(SingletonVarNum:98)
% 58.51/58.62 %MaxLitNum:6
% 58.51/58.62 %MaxfuncDepth:2
% 58.51/58.62 %SharedTerms:10
% 58.51/58.62 %goalClause: 1 2 3 11
% 58.51/58.62 %singleGoalClaCount:4
% 58.51/58.62 [1]P1(a1,a2)
% 58.51/58.62 [2]P1(a1,a3)
% 58.51/58.62 [3]P2(f4(a1,a2),f4(a1,a3))
% 58.51/58.62 [11]~P6(f5(f4(a1,a2),f4(a1,a3)),a1)
% 58.51/58.62 [4]~P1(x41,x41)
% 58.51/58.62 [5]~P4(x51,x51)
% 58.51/58.62 [6]~P2(x61,x61)
% 58.51/58.62 [7]~P3(x71,f6(x72,x71))
% 58.51/58.62 [8]~P3(x81,f7(x82,x81))
% 58.51/58.62 [9]~P2(f6(x91,x92),x91)
% 58.51/58.62 [10]~P5(f7(x101,x102),x101)
% 58.51/58.62 [12]P6(x121,x122)+P1(x121,x122)
% 58.51/58.62 [13]P7(x131,x132)+P4(x131,x132)
% 58.51/58.62 [15]P5(x151,x152)+P2(x151,x152)
% 58.51/58.62 [16]P8(x161,x162)+P2(x161,x162)
% 58.51/58.62 [17]P9(x171,x172)+P3(x171,x172)
% 58.51/58.62 [18]P10(x181,x182)+P5(x181,x182)
% 58.51/58.62 [19]~P4(x191,x192)+P2(x191,x192)
% 58.51/58.62 [22]~P6(x221,x222)+~P1(x221,x222)
% 58.51/58.62 [23]~P7(x231,x232)+~P4(x231,x232)
% 58.51/58.62 [24]~P8(x241,x242)+~P2(x241,x242)
% 58.51/58.62 [25]~P9(x251,x252)+~P3(x251,x252)
% 58.51/58.62 [26]~P10(x261,x262)+~P5(x261,x262)
% 58.51/58.62 [46]~P1(x461,x462)+~P3(x462,f4(x461,x462))
% 58.51/58.62 [47]~P1(x471,x472)+~P3(x471,f4(x471,x472))
% 58.51/58.62 [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 58.51/58.62 [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 58.51/58.62 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 58.51/58.62 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 58.51/58.62 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 58.51/58.62 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 58.51/58.62 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 58.51/58.62 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 58.51/58.62 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 58.51/58.62 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 58.51/58.62 [33]~P2(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 58.51/58.62 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 58.51/58.62 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f4(x361,x362))
% 58.51/58.62 [38]~P2(x381,x383)+~P5(x381,x383)+P2(x381,x382)+P5(x383,x382)
% 58.51/58.62 [39]~P2(x392,x393)+~P5(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 58.51/58.62 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P5(x401,x403)
% 58.51/58.62 [41]~P2(x413,x411)+~P5(x413,x411)+P2(x411,x412)+P5(x413,x412)
% 58.51/58.62 [42]~P2(x423,x422)+~P5(x423,x422)+P2(x421,x422)+P5(x421,x423)
% 58.51/58.62 [43]~P2(x431,x433)+~P5(x431,x433)+P5(x431,x432)+P5(x433,x432)
% 58.51/58.62 [45]P5(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P5(x452,x454)
% 58.51/58.62 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 58.51/58.62 %EqnAxiom
% 58.51/58.62
% 58.51/58.62 %-------------------------------------------
% 58.61/58.65 cnf(51,plain,
% 58.61/58.65 (~P6(a1,a2)),
% 58.61/58.65 inference(scs_inference,[],[1,22])).
% 58.61/58.65 cnf(53,plain,
% 58.61/58.65 (~P8(f4(a1,a2),f4(a1,a3))),
% 58.61/58.65 inference(scs_inference,[],[1,3,22,24])).
% 58.61/58.65 cnf(67,plain,
% 58.61/58.65 (~P4(f6(x671,x672),x671)),
% 58.61/58.65 inference(scs_inference,[],[1,3,4,5,6,7,9,10,22,24,12,13,15,16,17,18,19])).
% 58.61/58.65 cnf(71,plain,
% 58.61/58.65 (P1(a2,a1)),
% 58.61/58.65 inference(scs_inference,[],[1,3,4,5,6,7,9,10,22,24,12,13,15,16,17,18,19,26,27])).
% 58.61/58.65 cnf(74,plain,
% 58.61/58.65 (P4(f4(a1,a3),f4(a1,a2))),
% 58.61/58.65 inference(scs_inference,[],[1,3,4,5,6,7,9,10,22,24,12,13,15,16,17,18,19,26,27,30])).
% 58.61/58.65 cnf(75,plain,
% 58.61/58.65 (~P2(x751,x751)),
% 58.61/58.65 inference(rename_variables,[],[6])).
% 58.61/58.65 cnf(77,plain,
% 58.61/58.65 (P2(f4(a1,a3),f4(a1,a2))),
% 58.61/58.65 inference(scs_inference,[],[1,3,4,5,6,75,7,9,10,22,24,12,13,15,16,17,18,19,26,27,30,32])).
% 58.61/58.65 cnf(83,plain,
% 58.61/58.65 (P4(f4(a1,a2),f4(a1,a3))),
% 58.61/58.65 inference(scs_inference,[],[1,3,4,5,6,75,7,9,10,22,24,12,13,15,16,17,18,19,26,27,30,32,33,29])).
% 58.61/58.65 cnf(103,plain,
% 58.61/58.65 (~P6(a1,a3)),
% 58.61/58.65 inference(scs_inference,[],[2,83,23,22])).
% 58.61/58.65 cnf(136,plain,
% 58.61/58.65 (~P6(a2,a1)),
% 58.61/58.65 inference(scs_inference,[],[71,22])).
% 58.61/58.65 cnf(203,plain,
% 58.61/58.65 (~P3(a2,f4(a1,a2))),
% 58.61/58.65 inference(scs_inference,[],[51,46,12])).
% 58.61/58.65 cnf(233,plain,
% 58.61/58.65 (~P3(a1,f4(a1,a3))),
% 58.61/58.65 inference(scs_inference,[],[103,47,12])).
% 58.61/58.65 cnf(263,plain,
% 58.61/58.65 (~P3(f5(f7(x2631,x2632),x2631),x2631)),
% 58.61/58.65 inference(scs_inference,[],[10,48,15])).
% 58.61/58.65 cnf(281,plain,
% 58.61/58.65 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a2))),
% 58.61/58.65 inference(scs_inference,[],[53,49,16])).
% 58.61/58.65 cnf(324,plain,
% 58.61/58.65 (P1(a3,a1)),
% 58.61/58.65 inference(scs_inference,[],[2,4,27])).
% 58.61/58.65 cnf(327,plain,
% 58.61/58.65 (~P6(a3,a1)),
% 58.61/58.65 inference(scs_inference,[],[2,4,27,22])).
% 58.61/58.65 cnf(2549,plain,
% 58.61/58.65 (~P3(a1,f4(a1,a2))),
% 58.61/58.65 inference(scs_inference,[],[4,1,28,47])).
% 58.61/58.65 cnf(3675,plain,
% 58.61/58.65 (~P3(a1,f4(a2,a1))),
% 58.61/58.65 inference(scs_inference,[],[136,12,46])).
% 58.61/58.65 cnf(3802,plain,
% 58.61/58.65 (~P3(a1,f4(a3,a1))),
% 58.61/58.65 inference(scs_inference,[],[327,12,46])).
% 58.61/58.65 cnf(4126,plain,
% 58.61/58.65 (~P3(a3,f4(a1,a3))),
% 58.61/58.65 inference(scs_inference,[],[103,12,46])).
% 58.61/58.65 cnf(4973,plain,
% 58.61/58.65 (~P3(a2,f4(a2,a1))),
% 58.61/58.65 inference(scs_inference,[],[136,12,47])).
% 58.61/58.65 cnf(6108,plain,
% 58.61/58.65 (~P3(f5(f7(x61081,x61082),x61081),f6(x61081,x61083))),
% 58.61/58.65 inference(scs_inference,[],[67,263,31])).
% 58.61/58.65 cnf(6131,plain,
% 58.61/58.65 (~P3(a1,f6(f4(a3,a1),x61311))),
% 58.61/58.65 inference(scs_inference,[],[67,3802,6108,17,31])).
% 58.61/58.65 cnf(6132,plain,
% 58.61/58.65 (~P4(f6(x61321,x61322),x61321)),
% 58.61/58.65 inference(rename_variables,[],[67])).
% 58.61/58.65 cnf(6134,plain,
% 58.61/58.65 (~P2(x61341,f6(x61341,x61342))),
% 58.61/58.65 inference(scs_inference,[],[67,6132,3802,6,6108,17,31,30])).
% 58.61/58.65 cnf(6137,plain,
% 58.61/58.65 (P2(f4(a1,a3),f6(f4(a1,a2),x61371))),
% 58.61/58.65 inference(scs_inference,[],[67,6132,3,3802,6,6108,17,31,30,32])).
% 58.61/58.65 cnf(6149,plain,
% 58.61/58.65 (P4(f4(a1,a3),f6(f4(a1,a2),x61491))),
% 58.61/58.65 inference(scs_inference,[],[67,6132,3,3802,6,83,6108,17,31,30,32,24,19,15,16,13,29])).
% 58.61/58.65 cnf(6165,plain,
% 58.61/58.65 (P5(x61651,f6(x61651,x61652))),
% 58.61/58.65 inference(scs_inference,[],[6134,15])).
% 58.61/58.65 cnf(6167,plain,
% 58.61/58.65 (~P4(x61671,f6(x61671,x61672))),
% 58.61/58.65 inference(scs_inference,[],[6134,15,19])).
% 58.61/58.65 cnf(6177,plain,
% 58.61/58.65 (~P3(a2,f6(f4(a1,a2),x61771))),
% 58.61/58.65 inference(scs_inference,[],[67,203,74,6134,6131,15,19,17,13,16,29,31])).
% 58.61/58.65 cnf(6178,plain,
% 58.61/58.65 (~P4(f6(x61781,x61782),x61781)),
% 58.61/58.65 inference(rename_variables,[],[67])).
% 58.61/58.65 cnf(6181,plain,
% 58.61/58.65 (~P2(x61811,f6(x61811,x61812))),
% 58.61/58.65 inference(rename_variables,[],[6134])).
% 58.61/58.65 cnf(6189,plain,
% 58.61/58.65 (~P2(x61891,f6(f6(x61891,x61892),x61893))),
% 58.61/58.65 inference(scs_inference,[],[67,6178,203,74,77,6134,6181,6131,15,19,17,13,16,29,31,32,23,24,26,30])).
% 58.61/58.65 cnf(6205,plain,
% 58.61/58.65 (P5(x62051,f6(f6(x62051,x62052),x62053))),
% 58.61/58.65 inference(scs_inference,[],[6189,6165,26,15])).
% 58.61/58.65 cnf(6215,plain,
% 58.61/58.65 (~P3(a1,f6(f4(a1,a3),x62151))),
% 58.61/58.65 inference(scs_inference,[],[67,233,6189,6165,6177,26,15,19,17,13,16,31])).
% 58.61/58.65 cnf(6232,plain,
% 58.61/58.65 (~P3(a2,f6(f4(a2,a1),x62321))),
% 58.61/58.65 inference(scs_inference,[],[67,4973,6205,6215,26,17,31])).
% 58.61/58.65 cnf(6248,plain,
% 58.61/58.65 (~P3(a3,f6(f4(a1,a3),x62481))),
% 58.61/58.65 inference(scs_inference,[],[67,4126,6232,17,31])).
% 58.61/58.65 cnf(6267,plain,
% 58.61/58.65 (~P3(a1,f6(f4(a2,a1),x62671))),
% 58.61/58.65 inference(scs_inference,[],[67,3675,6248,17,31])).
% 58.61/58.65 cnf(6285,plain,
% 58.61/58.65 (~P3(f5(f4(a1,a2),f4(a1,a3)),f6(f4(a1,a2),x62851))),
% 58.61/58.65 inference(scs_inference,[],[67,281,6267,17,31])).
% 58.61/58.65 cnf(6293,plain,
% 58.61/58.65 (~P3(x62931,f6(f6(x62932,x62931),x62933))),
% 58.61/58.65 inference(scs_inference,[],[67,7,6285,17,31])).
% 58.61/58.65 cnf(6303,plain,
% 58.61/58.65 (~P3(a1,f6(f4(a1,a2),x63031))),
% 58.61/58.65 inference(scs_inference,[],[67,2549,6293,17,31])).
% 58.61/58.65 cnf(9792,plain,
% 58.61/58.65 (~P3(f5(f7(f6(x97921,x97922),x97923),f6(x97921,x97922)),x97921)),
% 58.61/58.65 inference(scs_inference,[],[263,6167,31])).
% 58.61/58.65 cnf(14095,plain,
% 58.61/58.65 (~P3(a3,f4(a3,a1))),
% 58.61/58.65 inference(scs_inference,[],[324,47])).
% 58.61/58.65 cnf(14097,plain,
% 58.61/58.65 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a3))),
% 58.61/58.65 inference(scs_inference,[],[324,3,47,48])).
% 58.61/58.65 cnf(14101,plain,
% 58.61/58.65 (P2(f7(x141011,x141012),x141011)),
% 58.61/58.65 inference(scs_inference,[],[324,3,77,10,47,48,49,15])).
% 58.61/58.65 cnf(14103,plain,
% 58.61/58.65 (P1(f5(f4(a1,a2),f4(a1,a3)),a1)),
% 58.61/58.65 inference(scs_inference,[],[324,11,3,77,10,47,48,49,15,12])).
% 58.61/58.65 cnf(14112,plain,
% 58.61/58.65 (P1(a1,f5(f4(a1,a2),f4(a1,a3)))),
% 58.61/58.65 inference(scs_inference,[],[324,9792,11,6137,4,3,77,10,6134,47,48,49,15,12,17,30,24,27])).
% 58.61/58.65 cnf(14139,plain,
% 58.61/58.65 (~P5(f7(x141391,x141392),x141391)),
% 58.61/58.65 inference(rename_variables,[],[10])).
% 58.61/58.65 cnf(14148,plain,
% 58.61/58.65 ($false),
% 58.61/58.65 inference(scs_inference,[],[14101,14095,14097,14112,14103,6149,6303,77,7,9,10,14139,233,6134,48,49,17,22,33,32,41,50]),
% 58.61/58.65 ['proof']).
% 58.61/58.65 % SZS output end Proof
% 58.61/58.65 % Total time :58.030000s
%------------------------------------------------------------------------------