%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO205+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 06:04:31 EDT 2024
% Result : Theorem 60.88s 60.93s
% Output : CNFRefutation 60.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO205+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.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 07:31:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 60.84/60.91 %-------------------------------------------
% 60.84/60.91 % File :CSE---1.7
% 60.84/60.91 % Problem :theBenchmark
% 60.84/60.91 % Transform :cnf
% 60.84/60.91 % Format :tptp:raw
% 60.84/60.91 % Command :java -jar mcs_scs.jar %d %s
% 60.84/60.91
% 60.84/60.91 % Result :Theorem 60.260000s
% 60.84/60.91 % Output :CNFRefutation 60.260000s
% 60.84/60.91 %-------------------------------------------
% 60.87/60.93 %------------------------------------------------------------------------------
% 60.88/60.93 % File : GEO205+3 : TPTP v8.2.0. Released v4.0.0.
% 60.88/60.93 % Domain : Geometry (Constructive)
% 60.88/60.93 % Problem : Convergent lines and equal points
% 60.88/60.93 % Version : [vPl95] axioms.
% 60.88/60.93 % English : If the lines X and Y are convergent, and Y and Z are
% 60.88/60.93 % equivalent, then X and Z are convergent, and the intersection
% 60.88/60.93 % point of X and Y, and the intersection point of X and Z are
% 60.88/60.93 % equal.
% 60.88/60.93
% 60.88/60.93 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 60.88/60.93 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 60.88/60.93 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 60.88/60.93 % Source : [Rat07]
% 60.88/60.93 % Names : Theorem 5.6 [vPl95]
% 60.88/60.93
% 60.88/60.93 % Status : Theorem
% 60.88/60.93 % Rating : 0.06 v8.2.0, 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.33 v5.4.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.30 v4.1.0, 0.39 v4.0.1, 0.32 v4.0.0
% 60.88/60.93 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 60.88/60.93 % Number of atoms : 97 ( 0 equ)
% 60.88/60.93 % Maximal formula atoms : 6 ( 2 avg)
% 60.88/60.93 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 60.88/60.93 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 60.88/60.93 % Maximal formula depth : 9 ( 5 avg)
% 60.88/60.93 % Maximal term depth : 2 ( 1 avg)
% 60.88/60.93 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 60.88/60.93 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 60.88/60.93 % Number of variables : 84 ( 84 !; 0 ?)
% 60.88/60.93 % SPC : FOF_THM_RFO_NEQ
% 60.88/60.93
% 60.88/60.93 % Comments :
% 60.88/60.93 %------------------------------------------------------------------------------
% 60.88/60.93 include('Axioms/GEO006+0.ax').
% 60.88/60.93 include('Axioms/GEO006+1.ax').
% 60.88/60.93 include('Axioms/GEO006+2.ax').
% 60.88/60.93 include('Axioms/GEO006+3.ax').
% 60.88/60.93 include('Axioms/GEO006+4.ax').
% 60.88/60.93 include('Axioms/GEO006+5.ax').
% 60.88/60.93 include('Axioms/GEO006+6.ax').
% 60.88/60.93 %------------------------------------------------------------------------------
% 60.88/60.93 fof(con,conjecture,
% 60.88/60.93 ! [X,Y,Z] :
% 60.88/60.93 ( ( convergent_lines(X,Y)
% 60.88/60.93 & equal_lines(Y,Z) )
% 60.88/60.93 => ( convergent_lines(X,Z)
% 60.88/60.93 & equal_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ).
% 60.88/60.93
% 60.88/60.93 %------------------------------------------------------------------------------
% 60.88/60.93 %-------------------------------------------
% 60.88/60.93 % Proof found
% 60.88/60.93 % SZS status Theorem for theBenchmark
% 60.88/60.93 % SZS output start Proof
% 60.88/60.94 %ClaNum:49(EqnAxiom:0)
% 60.88/60.94 %VarNum:218(SingletonVarNum:98)
% 60.88/60.94 %MaxLitNum:6
% 60.88/60.94 %MaxfuncDepth:1
% 60.88/60.94 %SharedTerms:9
% 60.88/60.94 %goalClause: 1 2 48
% 60.88/60.94 %singleGoalClaCount:2
% 60.88/60.94 [1]P1(a1,a2)
% 60.88/60.94 [2]P3(a2,a3)
% 60.88/60.94 [3]~P4(x31,x31)
% 60.88/60.94 [4]~P5(x41,x41)
% 60.88/60.94 [5]~P1(x51,x51)
% 60.88/60.94 [6]~P2(x61,f4(x62,x61))
% 60.88/60.94 [7]~P2(x71,f5(x72,x71))
% 60.88/60.94 [8]~P1(f4(x81,x82),x81)
% 60.88/60.94 [9]~P6(f5(x91,x92),x91)
% 60.88/60.94 [48]~P1(a1,a3)+~P7(f6(a1,a2),f6(a1,a3))
% 60.88/60.94 [10]P7(x101,x102)+P4(x101,x102)
% 60.88/60.94 [11]P3(x111,x112)+P5(x111,x112)
% 60.88/60.94 [13]P6(x131,x132)+P1(x131,x132)
% 60.88/60.94 [14]P8(x141,x142)+P1(x141,x142)
% 60.88/60.94 [15]P9(x151,x152)+P2(x151,x152)
% 60.88/60.94 [16]P10(x161,x162)+P6(x161,x162)
% 60.88/60.94 [17]~P5(x171,x172)+P1(x171,x172)
% 60.88/60.94 [20]~P7(x201,x202)+~P4(x201,x202)
% 60.88/60.94 [21]~P3(x211,x212)+~P5(x211,x212)
% 60.88/60.94 [22]~P8(x221,x222)+~P1(x221,x222)
% 60.88/60.94 [23]~P9(x231,x232)+~P2(x231,x232)
% 60.88/60.94 [24]~P10(x241,x242)+~P6(x241,x242)
% 60.88/60.94 [44]~P4(x441,x442)+~P2(x442,f7(x441,x442))
% 60.88/60.94 [45]~P4(x451,x452)+~P2(x451,f7(x451,x452))
% 60.88/60.94 [46]~P1(x461,x462)+~P2(f6(x461,x462),x462)
% 60.88/60.94 [47]~P1(x471,x472)+~P2(f6(x471,x472),x471)
% 60.88/60.94 [18]~P12(x182)+~P11(x181)+P11(f4(x181,x182))
% 60.88/60.94 [19]~P12(x192)+~P11(x191)+P11(f5(x191,x192))
% 60.88/60.94 [25]~P4(x253,x251)+P4(x251,x252)+P4(x253,x252)
% 60.88/60.94 [26]~P2(x261,x263)+P4(x261,x262)+P2(x262,x263)
% 60.88/60.94 [27]~P5(x273,x271)+P5(x271,x272)+P5(x273,x272)
% 60.88/60.94 [28]~P1(x283,x281)+P5(x281,x282)+P1(x283,x282)
% 60.88/60.94 [29]~P2(x293,x291)+P5(x291,x292)+P2(x293,x292)
% 60.88/60.94 [30]~P1(x303,x301)+P1(x301,x302)+P1(x303,x302)
% 60.88/60.94 [31]~P1(x313,x312)+P6(x311,x312)+P6(x311,x313)
% 60.88/60.94 [33]~P11(x332)+~P11(x331)+~P1(x331,x332)+P12(f6(x331,x332))
% 60.88/60.94 [34]~P12(x342)+~P12(x341)+~P4(x341,x342)+P11(f7(x341,x342))
% 60.88/60.94 [36]~P1(x361,x363)+~P6(x361,x363)+P1(x361,x362)+P6(x363,x362)
% 60.88/60.94 [37]~P1(x372,x373)+~P6(x372,x373)+P1(x371,x372)+P1(x371,x373)
% 60.88/60.94 [38]~P1(x382,x383)+~P6(x382,x383)+P1(x381,x382)+P6(x381,x383)
% 60.88/60.94 [39]~P1(x393,x391)+~P6(x393,x391)+P1(x391,x392)+P6(x393,x392)
% 60.88/60.94 [40]~P1(x403,x402)+~P6(x403,x402)+P1(x401,x402)+P6(x401,x403)
% 60.88/60.94 [41]~P1(x411,x413)+~P6(x411,x413)+P6(x411,x412)+P6(x413,x412)
% 60.88/60.94 [43]P6(x433,x434)+~P5(x433,x432)+P2(x431,x432)+P2(x431,x433)+P6(x432,x434)
% 60.88/60.94 [49]P2(x494,x493)+~P4(x494,x491)+~P5(x493,x492)+P2(x491,x492)+P2(x491,x493)+P2(x494,x492)
% 60.88/60.94 %EqnAxiom
% 60.88/60.94
% 60.88/60.94 %-------------------------------------------
% 60.88/60.97 cnf(60,plain,
% 60.88/60.97 (~P5(f4(x601,x602),x601)),
% 60.88/60.97 inference(scs_inference,[],[1,3,5,6,8,22,10,13,14,15,17])).
% 60.88/60.97 cnf(68,plain,
% 60.88/60.97 (P5(a2,a1)),
% 60.88/60.97 inference(scs_inference,[],[1,3,4,5,6,8,9,22,10,13,14,15,17,11,16,24,28])).
% 60.88/60.97 cnf(69,plain,
% 60.88/60.97 (~P1(x691,x691)),
% 60.88/60.97 inference(rename_variables,[],[5])).
% 60.88/60.97 cnf(71,plain,
% 60.88/60.97 (P1(a2,a1)),
% 60.88/60.97 inference(scs_inference,[],[1,3,4,5,69,6,8,9,22,10,13,14,15,17,11,16,24,28,30])).
% 60.88/60.97 cnf(74,plain,
% 60.88/60.97 (P6(f5(a1,x741),a2)),
% 60.88/60.97 inference(scs_inference,[],[1,3,4,5,69,6,8,9,22,10,13,14,15,17,11,16,24,28,30,31])).
% 60.88/60.97 cnf(77,plain,
% 60.88/60.97 (P5(a1,a2)),
% 60.88/60.97 inference(scs_inference,[],[1,3,4,5,69,6,8,9,22,10,13,14,15,17,11,16,24,28,30,31,27])).
% 60.88/60.97 cnf(107,plain,
% 60.88/60.97 (P6(f4(x1071,x1072),x1071)),
% 60.88/60.97 inference(scs_inference,[],[60,71,74,7,77,8,11,21,14,22,24,15,13])).
% 60.88/60.97 cnf(109,plain,
% 60.88/60.97 (~P2(x1091,f4(f5(x1092,x1091),x1093))),
% 60.88/60.97 inference(scs_inference,[],[60,71,74,7,77,8,11,21,14,22,24,15,13,29])).
% 60.88/60.97 cnf(110,plain,
% 60.88/60.97 (~P5(f4(x1101,x1102),x1101)),
% 60.88/60.97 inference(rename_variables,[],[60])).
% 60.88/60.97 cnf(112,plain,
% 60.88/60.97 (~P1(f4(x1121,x1122),f4(x1121,x1123))),
% 60.88/60.97 inference(scs_inference,[],[60,110,71,74,7,77,8,11,21,14,22,24,15,13,29,28])).
% 60.88/60.97 cnf(115,plain,
% 60.88/60.97 (~P5(f4(x1151,x1152),f4(x1151,x1153))),
% 60.88/60.97 inference(scs_inference,[],[60,110,71,74,7,77,8,11,21,14,22,24,15,13,29,28,17])).
% 60.88/60.97 cnf(157,plain,
% 60.88/60.97 (~P2(x1571,f4(x1572,x1573))),
% 60.88/60.97 inference(scs_inference,[],[107,112,115,60,6,109,11,24,13,14,15,27,29])).
% 60.88/60.97 cnf(4354,plain,
% 60.88/60.97 (~P1(x43541,f4(x43541,x43542))),
% 60.88/60.97 inference(scs_inference,[],[60,5,28])).
% 60.88/60.97 cnf(4357,plain,
% 60.88/60.97 (~P5(x43571,f4(x43571,x43572))),
% 60.88/60.97 inference(scs_inference,[],[60,5,28,17])).
% 60.88/60.97 cnf(4359,plain,
% 60.88/60.97 (P6(x43591,f4(x43591,x43592))),
% 60.88/60.97 inference(scs_inference,[],[60,5,28,17,13])).
% 60.88/60.97 cnf(4393,plain,
% 60.88/60.97 (~P5(x43931,f4(f4(x43931,x43932),x43933))),
% 60.88/60.97 inference(scs_inference,[],[60,68,4354,4357,4359,24,11,27,28,21,13,17])).
% 60.88/60.97 cnf(8707,plain,
% 60.88/60.97 (~P1(a3,a2)),
% 60.88/60.97 inference(scs_inference,[],[2,68,5,21,27,28])).
% 60.88/60.97 cnf(8712,plain,
% 60.88/60.97 (P1(a1,a3)),
% 60.88/60.97 inference(scs_inference,[],[2,68,5,21,27,28,13,17])).
% 60.88/60.97 cnf(8721,plain,
% 60.88/60.97 (~P7(f6(a1,a2),f6(a1,a3))),
% 60.88/60.97 inference(scs_inference,[],[8712,48])).
% 60.88/60.97 cnf(10054,plain,
% 60.88/60.97 (~P2(x100541,x100542)),
% 60.88/60.97 inference(scs_inference,[],[157,4357,29])).
% 60.88/60.97 cnf(12394,plain,
% 60.88/60.97 (~P1(f4(f4(x123941,x123942),x123943),x123941)),
% 60.88/60.97 inference(scs_inference,[],[112,4393,28])).
% 60.88/60.97 cnf(13247,plain,
% 60.88/60.97 (~P1(a3,f4(a2,x132471))),
% 60.88/60.97 inference(scs_inference,[],[8707,12394,60,30,28])).
% 60.88/60.97 cnf(14255,plain,
% 60.88/60.97 (P4(f6(a1,a2),f6(a1,a3))),
% 60.88/60.97 inference(scs_inference,[],[8721,10])).
% 60.88/60.97 cnf(14259,plain,
% 60.88/60.97 (P1(f5(x142591,x142592),x142591)),
% 60.88/60.97 inference(scs_inference,[],[8721,13247,9,10,14,13])).
% 60.88/60.97 cnf(14925,plain,
% 60.88/60.97 (P5(x149251,f5(x149251,x149252))),
% 60.88/60.97 inference(scs_inference,[],[5,14259,28])).
% 60.88/60.97 cnf(15134,plain,
% 60.88/60.97 (P2(f6(a1,a3),f5(x151341,x151342))+P2(f6(a1,a3),x151341)+P2(f6(a1,a2),x151341)),
% 60.88/60.97 inference(scs_inference,[],[14925,14255,10054,49])).
% 60.88/60.97 cnf(15136,plain,
% 60.88/60.97 (P2(f6(a1,a2),x151361)+P2(f6(a1,a3),x151361)),
% 60.88/60.97 inference(scs_inference,[],[10054,15134])).
% 60.88/60.97 cnf(15138,plain,
% 60.88/60.97 (P2(f6(a1,a2),x151381)),
% 60.88/60.97 inference(scs_inference,[],[10054,15136])).
% 60.88/60.97 cnf(15148,plain,
% 60.88/60.97 ($false),
% 60.88/60.97 inference(scs_inference,[],[15138,10054]),
% 60.88/60.97 ['proof']).
% 60.88/60.98 % SZS output end Proof
% 60.88/60.98 % Total time :60.260000s
%------------------------------------------------------------------------------