%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO201+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 : 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 06:04:28 EDT 2024
% Result : Theorem 58.72s 58.74s
% Output : CNFRefutation 58.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO201+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.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 07:44:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 58.69/58.73 %-------------------------------------------
% 58.69/58.73 % File :CSE---1.7
% 58.69/58.73 % Problem :theBenchmark
% 58.69/58.73 % Transform :cnf
% 58.69/58.73 % Format :tptp:raw
% 58.69/58.73 % Command :java -jar mcs_scs.jar %d %s
% 58.69/58.73
% 58.69/58.73 % Result :Theorem 58.120000s
% 58.69/58.73 % Output :CNFRefutation 58.120000s
% 58.69/58.73 %-------------------------------------------
% 58.72/58.74 %------------------------------------------------------------------------------
% 58.72/58.74 % File : GEO201+3 : TPTP v8.2.0. Released v4.0.0.
% 58.72/58.74 % Domain : Geometry (Constructive)
% 58.72/58.74 % Problem : Distinct ends means distinct lines
% 58.72/58.74 % Version : [vPl95] axioms.
% 58.72/58.74 % English : If the lines X and Y are convergent, then the intersection
% 58.72/58.74 % point of X and Y is equal to the intersection point of X and Y.
% 58.72/58.74
% 58.72/58.74 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.72/58.74 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.72/58.74 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.72/58.74 % Source : [Rat07]
% 58.72/58.74 % Names : Theorem 5.2 [vPl95]
% 58.72/58.74
% 58.72/58.74 % Status : Theorem
% 58.72/58.74 % 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, 0.20 v6.0.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.28 v4.0.1, 0.26 v4.0.0
% 58.72/58.74 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.72/58.74 % Number of atoms : 95 ( 0 equ)
% 58.72/58.74 % Maximal formula atoms : 6 ( 2 avg)
% 58.72/58.74 % Number of connectives : 87 ( 28 ~; 19 |; 13 &)
% 58.72/58.74 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.72/58.74 % Maximal formula depth : 9 ( 5 avg)
% 58.72/58.74 % Maximal term depth : 2 ( 1 avg)
% 58.72/58.74 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.72/58.74 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.72/58.74 % Number of variables : 83 ( 83 !; 0 ?)
% 58.72/58.74 % SPC : FOF_THM_RFO_NEQ
% 58.72/58.74
% 58.72/58.74 % Comments :
% 58.72/58.74 %------------------------------------------------------------------------------
% 58.72/58.74 include('Axioms/GEO006+0.ax').
% 58.72/58.74 include('Axioms/GEO006+1.ax').
% 58.72/58.74 include('Axioms/GEO006+2.ax').
% 58.72/58.74 include('Axioms/GEO006+3.ax').
% 58.72/58.74 include('Axioms/GEO006+4.ax').
% 58.72/58.74 include('Axioms/GEO006+5.ax').
% 58.72/58.74 include('Axioms/GEO006+6.ax').
% 58.72/58.74 %------------------------------------------------------------------------------
% 58.72/58.74 fof(con,conjecture,
% 58.72/58.74 ! [X,Y] :
% 58.72/58.74 ( convergent_lines(X,Y)
% 58.72/58.74 => equal_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 58.72/58.74
% 58.72/58.74 %------------------------------------------------------------------------------
% 58.72/58.74 %-------------------------------------------
% 58.72/58.74 % Proof found
% 58.72/58.74 % SZS status Theorem for theBenchmark
% 58.72/58.74 % SZS output start Proof
% 58.72/58.75 %ClaNum:48(EqnAxiom:0)
% 58.72/58.75 %VarNum:218(SingletonVarNum:98)
% 58.72/58.75 %MaxLitNum:6
% 58.72/58.75 %MaxfuncDepth:1
% 58.72/58.75 %SharedTerms:6
% 58.72/58.75 %goalClause: 1 9
% 58.72/58.75 %singleGoalClaCount:2
% 58.72/58.75 [1]P1(a1,a2)
% 58.72/58.75 [9]~P6(f5(a1,a2),f5(a2,a1))
% 58.72/58.75 [2]~P3(x21,x21)
% 58.72/58.75 [3]~P4(x31,x31)
% 58.72/58.75 [4]~P1(x41,x41)
% 58.72/58.75 [5]~P2(x51,f3(x52,x51))
% 58.72/58.75 [6]~P2(x61,f4(x62,x61))
% 58.72/58.75 [7]~P1(f3(x71,x72),x71)
% 58.72/58.75 [8]~P5(f4(x81,x82),x81)
% 58.72/58.75 [10]P6(x101,x102)+P3(x101,x102)
% 58.72/58.75 [11]P7(x111,x112)+P4(x111,x112)
% 58.72/58.75 [13]P5(x131,x132)+P1(x131,x132)
% 58.72/58.75 [14]P8(x141,x142)+P1(x141,x142)
% 58.72/58.75 [15]P9(x151,x152)+P2(x151,x152)
% 58.72/58.75 [16]P10(x161,x162)+P5(x161,x162)
% 58.72/58.75 [17]~P4(x171,x172)+P1(x171,x172)
% 58.72/58.76 [20]~P6(x201,x202)+~P3(x201,x202)
% 58.72/58.76 [21]~P7(x211,x212)+~P4(x211,x212)
% 58.72/58.76 [22]~P8(x221,x222)+~P1(x221,x222)
% 58.72/58.76 [23]~P9(x231,x232)+~P2(x231,x232)
% 58.72/58.76 [24]~P10(x241,x242)+~P5(x241,x242)
% 58.72/58.76 [44]~P3(x441,x442)+~P2(x442,f6(x441,x442))
% 58.72/58.76 [45]~P3(x451,x452)+~P2(x451,f6(x451,x452))
% 58.72/58.76 [46]~P1(x461,x462)+~P2(f5(x461,x462),x462)
% 58.72/58.76 [47]~P1(x471,x472)+~P2(f5(x471,x472),x471)
% 58.72/58.76 [18]~P12(x182)+~P11(x181)+P11(f3(x181,x182))
% 58.72/58.76 [19]~P12(x192)+~P11(x191)+P11(f4(x191,x192))
% 58.72/58.76 [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 58.72/58.76 [26]~P2(x261,x263)+P3(x261,x262)+P2(x262,x263)
% 58.72/58.76 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 58.72/58.76 [28]~P1(x283,x281)+P4(x281,x282)+P1(x283,x282)
% 58.72/58.76 [29]~P2(x293,x291)+P4(x291,x292)+P2(x293,x292)
% 58.72/58.76 [30]~P1(x303,x301)+P1(x301,x302)+P1(x303,x302)
% 58.72/58.76 [31]~P1(x313,x312)+P5(x311,x312)+P5(x311,x313)
% 58.72/58.76 [33]~P11(x332)+~P11(x331)+~P1(x331,x332)+P12(f5(x331,x332))
% 58.72/58.76 [34]~P12(x342)+~P12(x341)+~P3(x341,x342)+P11(f6(x341,x342))
% 58.72/58.76 [36]~P1(x361,x363)+~P5(x361,x363)+P1(x361,x362)+P5(x363,x362)
% 58.72/58.76 [37]~P1(x372,x373)+~P5(x372,x373)+P1(x371,x372)+P1(x371,x373)
% 58.72/58.76 [38]~P1(x382,x383)+~P5(x382,x383)+P1(x381,x382)+P5(x381,x383)
% 58.72/58.76 [39]~P1(x393,x391)+~P5(x393,x391)+P1(x391,x392)+P5(x393,x392)
% 58.72/58.76 [40]~P1(x403,x402)+~P5(x403,x402)+P1(x401,x402)+P5(x401,x403)
% 58.72/58.76 [41]~P1(x411,x413)+~P5(x411,x413)+P5(x411,x412)+P5(x413,x412)
% 58.72/58.76 [43]P5(x433,x434)+~P4(x433,x432)+P2(x431,x432)+P2(x431,x433)+P5(x432,x434)
% 58.72/58.76 [48]P2(x484,x483)+~P3(x484,x481)+~P4(x483,x482)+P2(x481,x482)+P2(x481,x483)+P2(x484,x482)
% 58.72/58.76 %EqnAxiom
% 58.72/58.76
% 58.72/58.76 %-------------------------------------------
% 58.72/58.78 cnf(59,plain,
% 58.72/58.78 (~P4(f3(x591,x592),x591)),
% 58.72/58.78 inference(scs_inference,[],[1,2,4,5,7,22,10,14,13,15,17])).
% 58.72/58.78 cnf(67,plain,
% 58.72/58.78 (P4(a2,a1)),
% 58.72/58.78 inference(scs_inference,[],[1,2,3,4,5,7,8,22,10,14,13,15,17,11,16,24,28])).
% 58.72/58.78 cnf(68,plain,
% 58.72/58.78 (~P1(x681,x681)),
% 58.72/58.78 inference(rename_variables,[],[4])).
% 58.72/58.78 cnf(70,plain,
% 58.72/58.78 (P1(a2,a1)),
% 58.72/58.78 inference(scs_inference,[],[1,2,3,4,68,5,7,8,22,10,14,13,15,17,11,16,24,28,30])).
% 58.72/58.78 cnf(73,plain,
% 58.72/58.78 (P5(f4(a1,x731),a2)),
% 58.72/58.78 inference(scs_inference,[],[1,2,3,4,68,5,7,8,22,10,14,13,15,17,11,16,24,28,30,31])).
% 58.72/58.78 cnf(76,plain,
% 58.72/58.78 (P4(a1,a2)),
% 58.72/58.78 inference(scs_inference,[],[1,2,3,4,68,5,7,8,22,10,14,13,15,17,11,16,24,28,30,31,27])).
% 58.72/58.78 cnf(102,plain,
% 58.72/58.78 (P5(f3(x1021,x1022),x1021)),
% 58.72/58.78 inference(scs_inference,[],[59,6,76,7,15,11,21,14,13])).
% 58.72/58.78 cnf(108,plain,
% 58.72/58.78 (~P2(x1081,f3(f4(x1082,x1081),x1083))),
% 58.72/58.78 inference(scs_inference,[],[70,73,59,6,76,7,15,11,21,14,13,24,22,29])).
% 58.72/58.78 cnf(109,plain,
% 58.72/58.78 (~P4(f3(x1091,x1092),x1091)),
% 58.72/58.78 inference(rename_variables,[],[59])).
% 58.72/58.78 cnf(111,plain,
% 58.72/58.78 (~P1(f3(x1111,x1112),f3(x1111,x1113))),
% 58.72/58.78 inference(scs_inference,[],[70,73,59,109,6,76,7,15,11,21,14,13,24,22,29,28])).
% 58.72/58.78 cnf(114,plain,
% 58.72/58.78 (~P4(f3(x1141,x1142),f3(x1141,x1143))),
% 58.72/58.78 inference(scs_inference,[],[70,73,59,109,6,76,7,15,11,21,14,13,24,22,29,28,17])).
% 58.72/58.78 cnf(146,plain,
% 58.72/58.78 (~P2(x1461,f3(x1462,x1463))),
% 58.72/58.78 inference(scs_inference,[],[111,102,114,59,5,108,7,11,13,15,14,24,27,30,29])).
% 58.72/58.78 cnf(3350,plain,
% 58.72/58.78 (P3(f5(a2,a1),f5(a1,a2))),
% 58.72/58.78 inference(scs_inference,[],[9,2,10,25])).
% 58.72/58.78 cnf(3353,plain,
% 58.72/58.78 (P3(f5(a1,a2),f5(a2,a1))),
% 58.72/58.78 inference(scs_inference,[],[2,3350,20,25])).
% 58.72/58.78 cnf(3854,plain,
% 58.72/58.78 (~P1(x38541,f3(x38541,x38542))),
% 58.72/58.78 inference(scs_inference,[],[59,4,28])).
% 58.72/58.78 cnf(3857,plain,
% 58.72/58.78 (~P4(x38571,f3(x38571,x38572))),
% 58.72/58.78 inference(scs_inference,[],[59,4,28,17])).
% 58.72/58.78 cnf(3859,plain,
% 58.72/58.78 (P5(x38591,f3(x38591,x38592))),
% 58.72/58.78 inference(scs_inference,[],[59,4,28,17,13])).
% 58.72/58.78 cnf(3882,plain,
% 58.72/58.78 (~P1(x38821,f3(f3(x38821,x38822),x38823))),
% 58.72/58.78 inference(scs_inference,[],[59,67,3854,3857,3859,24,27,28])).
% 58.72/58.78 cnf(4013,plain,
% 58.72/58.78 (P4(a2,f3(f3(a1,x40131),x40132))),
% 58.72/58.78 inference(scs_inference,[],[1,3882,28])).
% 58.72/58.78 cnf(5310,plain,
% 58.72/58.78 (P4(f3(f3(a1,x53101),x53102),f3(a2,x53103))),
% 58.72/58.78 inference(scs_inference,[],[4013,3857,27])).
% 58.72/58.78 cnf(8809,plain,
% 58.72/58.78 (P4(f3(a2,x88091),a1)),
% 58.72/58.78 inference(scs_inference,[],[3854,7,5310,30,13,17,11,14,27])).
% 58.72/58.78 cnf(14122,plain,
% 58.72/58.78 (~P2(x141221,x141222)),
% 58.72/58.78 inference(scs_inference,[],[146,3857,29])).
% 58.72/58.78 cnf(18113,plain,
% 58.72/58.78 (P2(f5(a2,a1),a1)+P2(f5(a2,a1),f3(a2,x181131))+P2(f5(a1,a2),f3(a2,x181131))),
% 58.72/58.78 inference(scs_inference,[],[3353,8809,14122,48])).
% 58.72/58.78 cnf(18114,plain,
% 58.72/58.78 (P2(f5(a1,a2),f3(a2,x181141))+P2(f5(a2,a1),a1)),
% 58.72/58.78 inference(scs_inference,[],[14122,18113])).
% 58.72/58.78 cnf(18119,plain,
% 58.72/58.78 (P2(f5(a1,a2),f3(a2,x181191))),
% 58.72/58.78 inference(scs_inference,[],[14122,18114])).
% 58.72/58.78 cnf(18125,plain,
% 58.72/58.78 ($false),
% 58.72/58.78 inference(scs_inference,[],[18119,14122]),
% 58.72/58.78 ['proof']).
% 58.72/58.79 % SZS output end Proof
% 58.72/58.79 % Total time :58.120000s
%------------------------------------------------------------------------------