TSTP Solution File: GEO201+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 : Wed Aug 30 22:43:37 EDT 2023
% Result : Theorem 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:48:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.030000s
% 0.20/0.66 % Output :CNFRefutation 0.030000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 % File : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.66 % Domain : Geometry (Constructive)
% 0.20/0.66 % Problem : Distinct ends means distinct lines
% 0.20/0.66 % Version : [vPl95] axioms.
% 0.20/0.66 % English : If the lines X and Y are convergent, then the intersection
% 0.20/0.66 % point of X and Y is equal to the intersection point of X and Y.
% 0.20/0.66
% 0.20/0.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.66 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.66 % Source : [Rat07]
% 0.20/0.66 % Names : Theorem 5.2 [vPl95]
% 0.20/0.66
% 0.20/0.66 % Status : Theorem
% 0.20/0.66 % Rating : 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
% 0.20/0.66 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.20/0.66 % Number of atoms : 95 ( 0 equ)
% 0.20/0.66 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.67 % Number of connectives : 87 ( 28 ~; 19 |; 13 &)
% 0.20/0.67 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.20/0.67 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.67 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.67 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.20/0.67 % Number of variables : 83 ( 83 !; 0 ?)
% 0.20/0.67 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 include('Axioms/GEO006+0.ax').
% 0.20/0.67 include('Axioms/GEO006+1.ax').
% 0.20/0.67 include('Axioms/GEO006+2.ax').
% 0.20/0.67 include('Axioms/GEO006+3.ax').
% 0.20/0.67 include('Axioms/GEO006+4.ax').
% 0.20/0.67 include('Axioms/GEO006+5.ax').
% 0.20/0.67 include('Axioms/GEO006+6.ax').
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 fof(con,conjecture,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( convergent_lines(X,Y)
% 0.20/0.67 => equal_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 0.20/0.67
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:48(EqnAxiom:0)
% 0.20/0.67 %VarNum:218(SingletonVarNum:98)
% 0.20/0.67 %MaxLitNum:6
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:6
% 0.20/0.67 %goalClause: 1 9
% 0.20/0.67 %singleGoalClaCount:2
% 0.20/0.67 [1]P1(a1,a2)
% 0.20/0.67 [9]~P6(f5(a1,a2),f5(a2,a1))
% 0.20/0.67 [2]~P3(x21,x21)
% 0.20/0.67 [3]~P4(x31,x31)
% 0.20/0.67 [4]~P1(x41,x41)
% 0.20/0.67 [5]~P2(x51,f3(x52,x51))
% 0.20/0.67 [6]~P2(x61,f4(x62,x61))
% 0.20/0.67 [7]~P1(f3(x71,x72),x71)
% 0.20/0.67 [8]~P5(f4(x81,x82),x81)
% 0.20/0.67 [10]P6(x101,x102)+P3(x101,x102)
% 0.20/0.67 [11]P7(x111,x112)+P4(x111,x112)
% 0.20/0.67 [13]P5(x131,x132)+P1(x131,x132)
% 0.20/0.67 [14]P8(x141,x142)+P1(x141,x142)
% 0.20/0.67 [15]P9(x151,x152)+P2(x151,x152)
% 0.20/0.67 [16]P10(x161,x162)+P5(x161,x162)
% 0.20/0.67 [17]~P4(x171,x172)+P1(x171,x172)
% 0.20/0.67 [20]~P6(x201,x202)+~P3(x201,x202)
% 0.20/0.67 [21]~P7(x211,x212)+~P4(x211,x212)
% 0.20/0.67 [22]~P8(x221,x222)+~P1(x221,x222)
% 0.20/0.67 [23]~P9(x231,x232)+~P2(x231,x232)
% 0.20/0.67 [24]~P10(x241,x242)+~P5(x241,x242)
% 0.20/0.67 [44]~P3(x441,x442)+~P2(x442,f6(x441,x442))
% 0.20/0.67 [45]~P3(x451,x452)+~P2(x451,f6(x451,x452))
% 0.20/0.67 [46]~P1(x461,x462)+~P2(f5(x461,x462),x462)
% 0.20/0.67 [47]~P1(x471,x472)+~P2(f5(x471,x472),x471)
% 0.20/0.67 [18]~P12(x182)+~P11(x181)+P11(f3(x181,x182))
% 0.20/0.67 [19]~P12(x192)+~P11(x191)+P11(f4(x191,x192))
% 0.20/0.67 [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 0.20/0.67 [26]~P2(x261,x263)+P3(x261,x262)+P2(x262,x263)
% 0.20/0.67 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 0.20/0.67 [28]~P1(x283,x281)+P4(x281,x282)+P1(x283,x282)
% 0.20/0.67 [29]~P2(x293,x291)+P4(x291,x292)+P2(x293,x292)
% 0.20/0.67 [30]~P1(x303,x301)+P1(x301,x302)+P1(x303,x302)
% 0.20/0.67 [31]~P1(x313,x312)+P5(x311,x312)+P5(x311,x313)
% 0.20/0.67 [33]~P11(x332)+~P11(x331)+~P1(x331,x332)+P12(f5(x331,x332))
% 0.20/0.67 [34]~P12(x342)+~P12(x341)+~P3(x341,x342)+P11(f6(x341,x342))
% 0.20/0.67 [36]~P1(x361,x363)+~P5(x361,x363)+P1(x361,x362)+P5(x363,x362)
% 0.20/0.67 [37]~P1(x372,x373)+~P5(x372,x373)+P1(x371,x372)+P1(x371,x373)
% 0.20/0.67 [38]~P1(x382,x383)+~P5(x382,x383)+P1(x381,x382)+P5(x381,x383)
% 0.20/0.67 [39]~P1(x393,x391)+~P5(x393,x391)+P1(x391,x392)+P5(x393,x392)
% 0.20/0.67 [40]~P1(x403,x402)+~P5(x403,x402)+P1(x401,x402)+P5(x401,x403)
% 0.20/0.67 [41]~P1(x411,x413)+~P5(x411,x413)+P5(x411,x412)+P5(x413,x412)
% 0.20/0.67 [43]P5(x433,x434)+~P4(x433,x432)+P2(x431,x432)+P2(x431,x433)+P5(x432,x434)
% 0.20/0.67 [48]P2(x484,x483)+~P3(x484,x481)+~P4(x483,x482)+P2(x481,x482)+P2(x481,x483)+P2(x484,x482)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 cnf(50,plain,
% 0.20/0.67 (~P4(f3(x501,x502),x501)),
% 0.20/0.67 inference(scs_inference,[],[1,7,22,17])).
% 0.20/0.67 cnf(66,plain,
% 0.20/0.67 (P1(a2,a1)),
% 0.20/0.67 inference(scs_inference,[],[1,2,3,4,5,7,8,22,17,16,15,14,13,11,10,31,30])).
% 0.20/0.67 cnf(67,plain,
% 0.20/0.67 (~P1(x671,x671)),
% 0.20/0.67 inference(rename_variables,[],[4])).
% 0.20/0.67 cnf(69,plain,
% 0.20/0.67 (P4(a2,a1)),
% 0.20/0.67 inference(scs_inference,[],[1,2,3,4,67,5,7,8,22,17,16,15,14,13,11,10,31,30,28])).
% 0.20/0.67 cnf(72,plain,
% 0.20/0.67 (P4(a1,a2)),
% 0.20/0.67 inference(scs_inference,[],[1,2,3,4,67,5,7,8,22,17,16,15,14,13,11,10,31,30,28,27])).
% 0.20/0.67 cnf(74,plain,
% 0.20/0.67 (~P2(f5(a1,a2),a1)),
% 0.20/0.67 inference(scs_inference,[],[1,2,3,4,67,5,7,8,22,17,16,15,14,13,11,10,31,30,28,27,47])).
% 0.20/0.67 cnf(76,plain,
% 0.20/0.67 (~P2(f5(a1,a2),a2)),
% 0.20/0.67 inference(scs_inference,[],[1,2,3,4,67,5,7,8,22,17,16,15,14,13,11,10,31,30,28,27,47,46])).
% 0.20/0.67 cnf(99,plain,
% 0.20/0.67 (~P5(f4(x991,x992),x991)),
% 0.20/0.67 inference(rename_variables,[],[8])).
% 0.20/0.67 cnf(103,plain,
% 0.20/0.67 (P3(f5(a1,a2),f5(a2,a1))),
% 0.20/0.67 inference(scs_inference,[],[1,9,8,99,31,13,10])).
% 0.20/0.67 cnf(105,plain,
% 0.20/0.67 (P1(f4(f3(x1051,x1052),x1053),x1051)),
% 0.20/0.67 inference(scs_inference,[],[1,9,7,8,99,31,13,10,30])).
% 0.20/0.67 cnf(111,plain,
% 0.20/0.67 (P2(f5(a2,a1),a1)+~P4(x1111,f3(x1111,x1112))),
% 0.20/0.67 inference(scs_inference,[],[1,9,7,8,99,3,50,76,74,69,31,13,10,30,48,23,27])).
% 0.20/0.67 cnf(136,plain,
% 0.20/0.67 (P3(f5(a2,a1),f5(a1,a2))),
% 0.20/0.67 inference(scs_inference,[],[2,103,25])).
% 0.20/0.67 cnf(139,plain,
% 0.20/0.67 (P5(f3(x1391,x1392),x1391)),
% 0.20/0.67 inference(scs_inference,[],[2,7,103,25,13])).
% 0.20/0.67 cnf(172,plain,
% 0.20/0.67 (P1(x1721,f4(f3(x1721,x1722),x1723))),
% 0.20/0.67 inference(scs_inference,[],[4,139,105,72,66,46,24,21,30])).
% 0.20/0.67 cnf(175,plain,
% 0.20/0.67 (~P4(x1751,f3(x1751,x1752))),
% 0.20/0.67 inference(scs_inference,[],[4,139,105,72,66,46,24,21,30,111])).
% 0.20/0.67 cnf(178,plain,
% 0.20/0.67 (P2(f5(a2,a1),a2)),
% 0.20/0.67 inference(scs_inference,[],[4,139,105,136,72,66,76,74,46,24,21,30,111,28,48])).
% 0.20/0.67 cnf(217,plain,
% 0.20/0.67 ($false),
% 0.20/0.67 inference(scs_inference,[],[5,4,175,172,178,28,29]),
% 0.20/0.67 ['proof']).
% 0.20/0.67 % SZS output end Proof
% 0.20/0.67 % Total time :0.030000s
%------------------------------------------------------------------------------