TSTP Solution File: GEO224+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO224+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 : n002.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 22:43:51 EDT 2023
% Result : Theorem 0.20s 0.68s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:12:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 % File :CSE---1.6
% 0.20/0.68 % Problem :theBenchmark
% 0.20/0.68 % Transform :cnf
% 0.20/0.68 % Format :tptp:raw
% 0.20/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.68
% 0.20/0.68 % Result :Theorem 0.030000s
% 0.20/0.68 % Output :CNFRefutation 0.030000s
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 %------------------------------------------------------------------------------
% 0.20/0.68 % File : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.68 % Domain : Geometry (Constructive)
% 0.20/0.68 % Problem : Find point incident to line
% 0.20/0.68 % Version : [vPl95] axioms.
% 0.20/0.68 % English : Assume orthogonal geometry. Given a point and a line, to find
% 0.20/0.68 % a point incident with the line.
% 0.20/0.68
% 0.20/0.68 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.68 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.68 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.20/0.68 % Source : [Rat07]
% 0.20/0.68 % Names : Problem 9.1 [vPl95]
% 0.20/0.68
% 0.20/0.68 % Status : Theorem
% 0.20/0.68 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.16 v4.0.0
% 0.20/0.68 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.20/0.68 % Number of atoms : 97 ( 0 equ)
% 0.20/0.68 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.68 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.20/0.68 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.20/0.68 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.68 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.68 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.20/0.68 % Number of variables : 84 ( 83 !; 1 ?)
% 0.20/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.68
% 0.20/0.68 % Comments :
% 0.20/0.68 %------------------------------------------------------------------------------
% 0.20/0.68 include('Axioms/GEO006+0.ax').
% 0.20/0.68 include('Axioms/GEO006+1.ax').
% 0.20/0.68 include('Axioms/GEO006+2.ax').
% 0.20/0.68 include('Axioms/GEO006+3.ax').
% 0.20/0.68 include('Axioms/GEO006+4.ax').
% 0.20/0.68 include('Axioms/GEO006+5.ax').
% 0.20/0.68 include('Axioms/GEO006+6.ax').
% 0.20/0.68 %------------------------------------------------------------------------------
% 0.20/0.68 fof(con,conjecture,
% 0.20/0.68 ! [X,Y] :
% 0.20/0.68 ( ( point(X)
% 0.20/0.68 & line(Y) )
% 0.20/0.68 => ? [Z] :
% 0.20/0.68 ( point(Z)
% 0.20/0.68 & incident_point_and_line(Z,Y) ) ) ).
% 0.20/0.68
% 0.20/0.68 %------------------------------------------------------------------------------
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 % Proof found
% 0.20/0.68 % SZS status Theorem for theBenchmark
% 0.20/0.68 % SZS output start Proof
% 0.20/0.68 %ClaNum:49(EqnAxiom:0)
% 0.20/0.68 %VarNum:220(SingletonVarNum:99)
% 0.20/0.68 %MaxLitNum:6
% 0.20/0.68 %MaxfuncDepth:1
% 0.20/0.68 %SharedTerms:4
% 0.20/0.68 %goalClause: 1 2 10
% 0.20/0.68 %singleGoalClaCount:2
% 0.20/0.68 [1]P1(a1)
% 0.20/0.68 [2]P2(a2)
% 0.20/0.68 [3]~P3(x31,x31)
% 0.20/0.68 [4]~P4(x41,x41)
% 0.20/0.68 [5]~P5(x51,x51)
% 0.20/0.68 [6]~P6(x61,f3(x62,x61))
% 0.20/0.68 [7]~P6(x71,f4(x72,x71))
% 0.20/0.68 [8]~P5(f3(x81,x82),x81)
% 0.20/0.68 [9]~P12(f4(x91,x92),x91)
% 0.20/0.68 [10]~P1(x101)+~P7(x101,a2)
% 0.20/0.68 [11]P8(x111,x112)+P3(x111,x112)
% 0.20/0.68 [12]P9(x121,x122)+P4(x121,x122)
% 0.20/0.68 [14]P12(x141,x142)+P5(x141,x142)
% 0.20/0.68 [15]P10(x151,x152)+P5(x151,x152)
% 0.20/0.68 [16]P7(x161,x162)+P6(x161,x162)
% 0.20/0.68 [17]P11(x171,x172)+P12(x171,x172)
% 0.20/0.68 [18]~P4(x181,x182)+P5(x181,x182)
% 0.20/0.68 [21]~P8(x211,x212)+~P3(x211,x212)
% 0.20/0.68 [22]~P9(x221,x222)+~P4(x221,x222)
% 0.20/0.68 [23]~P10(x231,x232)+~P5(x231,x232)
% 0.20/0.68 [24]~P7(x241,x242)+~P6(x241,x242)
% 0.20/0.69 [25]~P11(x251,x252)+~P12(x251,x252)
% 0.20/0.69 [45]~P3(x451,x452)+~P6(x452,f6(x451,x452))
% 0.20/0.69 [46]~P3(x461,x462)+~P6(x461,f6(x461,x462))
% 0.20/0.69 [47]~P5(x471,x472)+~P6(f5(x471,x472),x472)
% 0.20/0.69 [48]~P5(x481,x482)+~P6(f5(x481,x482),x481)
% 0.20/0.69 [19]~P1(x192)+~P2(x191)+P2(f3(x191,x192))
% 0.20/0.69 [20]~P1(x202)+~P2(x201)+P2(f4(x201,x202))
% 0.20/0.69 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.20/0.69 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 0.20/0.69 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.20/0.69 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 0.20/0.69 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 0.20/0.69 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 0.20/0.69 [32]~P5(x323,x322)+P12(x321,x322)+P12(x321,x323)
% 0.20/0.69 [34]~P2(x342)+~P2(x341)+~P5(x341,x342)+P1(f5(x341,x342))
% 0.20/0.69 [35]~P1(x352)+~P1(x351)+~P3(x351,x352)+P2(f6(x351,x352))
% 0.20/0.69 [37]~P5(x371,x373)+~P12(x371,x373)+P5(x371,x372)+P12(x373,x372)
% 0.20/0.69 [38]~P5(x382,x383)+~P12(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 0.20/0.69 [39]~P5(x392,x393)+~P12(x392,x393)+P5(x391,x392)+P12(x391,x393)
% 0.20/0.69 [40]~P5(x403,x401)+~P12(x403,x401)+P5(x401,x402)+P12(x403,x402)
% 0.20/0.69 [41]~P5(x413,x412)+~P12(x413,x412)+P5(x411,x412)+P12(x411,x413)
% 0.20/0.69 [42]~P5(x421,x423)+~P12(x421,x423)+P12(x421,x422)+P12(x423,x422)
% 0.20/0.69 [44]P12(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P12(x442,x444)
% 0.20/0.69 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 0.20/0.69 %EqnAxiom
% 0.20/0.69
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 cnf(50,plain,
% 0.20/0.69 (~P4(f3(x501,x502),x501)),
% 0.20/0.69 inference(scs_inference,[],[8,18])).
% 0.20/0.69 cnf(56,plain,
% 0.20/0.69 (P12(x561,x561)),
% 0.20/0.69 inference(scs_inference,[],[5,6,8,9,18,17,16,15,14])).
% 0.20/0.69 cnf(62,plain,
% 0.20/0.69 (~P7(a1,a2)),
% 0.20/0.69 inference(scs_inference,[],[1,3,4,5,6,8,9,18,17,16,15,14,12,11,10])).
% 0.20/0.69 cnf(64,plain,
% 0.20/0.69 (P2(f4(a2,a1))),
% 0.20/0.69 inference(scs_inference,[],[1,3,4,5,2,6,8,9,18,17,16,15,14,12,11,10,20])).
% 0.20/0.69 cnf(68,plain,
% 0.20/0.69 (~P12(x681,f4(x681,x682))+~P5(x681,f4(x681,x682))),
% 0.20/0.69 inference(scs_inference,[],[1,3,4,5,2,6,8,9,18,17,16,15,14,12,11,10,20,19,41])).
% 0.20/0.69 cnf(69,plain,
% 0.20/0.69 (~P5(x691,x691)),
% 0.20/0.69 inference(rename_variables,[],[5])).
% 0.20/0.69 cnf(73,plain,
% 0.20/0.69 (~P5(x731,f3(x731,x732))),
% 0.20/0.69 inference(scs_inference,[],[1,3,4,5,69,2,6,8,9,18,17,16,15,14,12,11,10,20,19,41,25,31])).
% 0.20/0.69 cnf(78,plain,
% 0.20/0.69 (P12(f3(x781,x782),x783)+~P4(f4(x783,x782),f3(x781,x782))),
% 0.20/0.69 inference(scs_inference,[],[1,3,4,5,69,2,6,7,8,9,18,17,16,15,14,12,11,10,20,19,41,25,31,30,44])).
% 0.20/0.69 cnf(80,plain,
% 0.20/0.69 (P5(f4(x801,x802),x801)),
% 0.20/0.69 inference(scs_inference,[],[9,14])).
% 0.20/0.69 cnf(84,plain,
% 0.20/0.69 (P5(x841,f4(x841,x842))),
% 0.20/0.69 inference(scs_inference,[],[1,5,9,64,14,19,31])).
% 0.20/0.69 cnf(85,plain,
% 0.20/0.69 (~P5(x851,x851)),
% 0.20/0.69 inference(rename_variables,[],[5])).
% 0.20/0.69 cnf(87,plain,
% 0.20/0.69 (P6(a1,a2)),
% 0.20/0.69 inference(scs_inference,[],[1,5,9,64,62,14,19,31,16])).
% 0.20/0.69 cnf(91,plain,
% 0.20/0.69 (~P12(x911,f4(x911,x912))),
% 0.20/0.69 inference(scs_inference,[],[1,5,9,64,62,14,19,31,16,20,68])).
% 0.20/0.69 cnf(95,plain,
% 0.20/0.69 (P4(a2,f4(x951,a1))),
% 0.20/0.69 inference(scs_inference,[],[1,7,5,9,64,62,14,19,31,16,20,68,23,30])).
% 0.20/0.69 cnf(96,plain,
% 0.20/0.69 (~P6(x961,f4(x962,x961))),
% 0.20/0.69 inference(rename_variables,[],[7])).
% 0.20/0.69 cnf(101,plain,
% 0.20/0.69 (P5(a2,f4(x1011,a1))),
% 0.20/0.69 inference(scs_inference,[],[1,7,96,5,6,9,64,62,14,19,31,16,20,68,23,30,44,18])).
% 0.20/0.69 cnf(103,plain,
% 0.20/0.69 (~P6(f5(a2,f4(x1031,a1)),a2)),
% 0.20/0.69 inference(scs_inference,[],[1,7,96,5,6,9,64,62,14,19,31,16,20,68,23,30,44,18,48])).
% 0.20/0.69 cnf(105,plain,
% 0.20/0.69 (~P6(f5(a2,f4(x1051,a1)),f4(x1051,a1))),
% 0.20/0.69 inference(scs_inference,[],[1,7,96,5,6,9,64,62,14,19,31,16,20,68,23,30,44,18,48,47])).
% 0.20/0.69 cnf(109,plain,
% 0.20/0.69 (~P4(f4(x1091,x1092),f3(x1093,x1092))+P1(f5(a2,f4(a2,a1)))),
% 0.20/0.69 inference(scs_inference,[],[1,7,96,2,5,85,6,9,64,62,14,19,31,16,20,68,23,30,44,18,48,47,37,34])).
% 0.20/0.69 cnf(111,plain,
% 0.20/0.69 (~P5(f3(x1111,x1112),f3(x1111,x1113))+~P4(f4(x1114,x1115),f3(x1116,x1115))),
% 0.20/0.69 inference(scs_inference,[],[1,7,96,8,2,5,85,6,9,50,64,62,14,19,31,16,20,68,23,30,44,18,48,47,37,34,29])).
% 0.20/0.69 cnf(117,plain,
% 0.20/0.69 (P5(a2,f4(x1171,a1))),
% 0.20/0.69 inference(rename_variables,[],[101])).
% 0.20/0.69 cnf(118,plain,
% 0.20/0.69 (~P5(f3(x1181,x1182),x1181)),
% 0.20/0.69 inference(rename_variables,[],[8])).
% 0.20/0.69 cnf(119,plain,
% 0.20/0.69 (~P12(x1191,f4(x1191,x1192))),
% 0.20/0.69 inference(rename_variables,[],[91])).
% 0.20/0.69 cnf(124,plain,
% 0.20/0.69 (~P12(f4(x1241,x1242),x1241)),
% 0.20/0.69 inference(rename_variables,[],[9])).
% 0.20/0.69 cnf(130,plain,
% 0.20/0.69 (~P12(x1301,f4(x1301,x1302))),
% 0.20/0.69 inference(rename_variables,[],[91])).
% 0.20/0.69 cnf(131,plain,
% 0.20/0.69 (~P12(f4(x1311,x1312),x1311)),
% 0.20/0.69 inference(rename_variables,[],[9])).
% 0.20/0.69 cnf(157,plain,
% 0.20/0.69 ($false),
% 0.20/0.69 inference(scs_inference,[],[50,7,4,8,118,9,124,131,80,84,91,119,130,105,87,95,101,117,103,73,56,39,22,32,27,42,25,28,29,30,16,14,18,31,111,109,78,44]),
% 0.20/0.69 ['proof']).
% 0.20/0.69 % SZS output end Proof
% 0.20/0.69 % Total time :0.030000s
%------------------------------------------------------------------------------