TSTP Solution File: GEO206+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 22:43:40 EDT 2023
% Result : Theorem 0.53s 0.67s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 29 23:48:27 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.60 start to proof:theBenchmark
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 % File :CSE---1.6
% 0.53/0.67 % Problem :theBenchmark
% 0.53/0.67 % Transform :cnf
% 0.53/0.67 % Format :tptp:raw
% 0.53/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.67
% 0.53/0.67 % Result :Theorem 0.020000s
% 0.53/0.67 % Output :CNFRefutation 0.020000s
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 % File : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.53/0.67 % Domain : Geometry (Constructive)
% 0.53/0.67 % Problem : Point on parallel lines
% 0.53/0.67 % Version : [vPl95] axioms.
% 0.53/0.67 % English : If the point X is incident with the line Y, and the lines
% 0.53/0.67 % Y and Z are parallel, then the line Y is equal to the parallel
% 0.53/0.67 % of Z through point X.
% 0.53/0.67
% 0.53/0.67 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.67 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.67 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.53/0.67 % Source : [Rat07]
% 0.53/0.67 % Names : Theorem 7.1 [vPl95]
% 0.53/0.67
% 0.53/0.67 % Status : Theorem
% 0.53/0.67 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 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
% 0.53/0.67 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.53/0.67 % Number of atoms : 96 ( 0 equ)
% 0.53/0.67 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.67 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 0.53/0.67 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.53/0.67 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.67 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.53/0.67 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.53/0.67 % Number of variables : 84 ( 84 !; 0 ?)
% 0.53/0.67 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.67
% 0.53/0.67 % Comments :
% 0.53/0.67 % Bugfixed : v4.0.1 - Fixed conjecture.
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 include('Axioms/GEO006+0.ax').
% 0.53/0.67 include('Axioms/GEO006+1.ax').
% 0.53/0.67 include('Axioms/GEO006+2.ax').
% 0.53/0.67 include('Axioms/GEO006+3.ax').
% 0.53/0.67 include('Axioms/GEO006+4.ax').
% 0.53/0.67 include('Axioms/GEO006+5.ax').
% 0.53/0.67 include('Axioms/GEO006+6.ax').
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 fof(con,conjecture,
% 0.53/0.67 ! [X,Y,Z] :
% 0.53/0.67 ( ( incident_point_and_line(X,Y)
% 0.53/0.67 & parallel_lines(Y,Z) )
% 0.53/0.67 => equal_lines(Y,parallel_through_point(Z,X)) ) ).
% 0.53/0.67
% 0.53/0.67 %------------------------------------------------------------------------------
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 % Proof found
% 0.53/0.67 % SZS status Theorem for theBenchmark
% 0.53/0.67 % SZS output start Proof
% 0.53/0.68 %ClaNum:49(EqnAxiom:0)
% 0.53/0.68 %VarNum:218(SingletonVarNum:98)
% 0.53/0.68 %MaxLitNum:6
% 0.53/0.68 %MaxfuncDepth:1
% 0.53/0.68 %SharedTerms:7
% 0.53/0.68 %goalClause: 1 2 6
% 0.53/0.68 %singleGoalClaCount:3
% 0.53/0.68 [1]P1(a1,a3)
% 0.53/0.68 [2]P2(a2,a1)
% 0.53/0.68 [6]~P7(a1,f4(a3,a2))
% 0.53/0.68 [3]~P3(x31,x31)
% 0.53/0.68 [4]~P4(x41,x41)
% 0.53/0.68 [5]~P5(x51,x51)
% 0.53/0.68 [7]~P6(x71,f4(x72,x71))
% 0.53/0.68 [8]~P6(x81,f5(x82,x81))
% 0.53/0.68 [9]~P5(f4(x91,x92),x91)
% 0.53/0.68 [10]~P11(f5(x101,x102),x101)
% 0.53/0.68 [11]P8(x111,x112)+P3(x111,x112)
% 0.53/0.68 [12]P7(x121,x122)+P4(x121,x122)
% 0.53/0.68 [14]P11(x141,x142)+P5(x141,x142)
% 0.53/0.68 [15]P1(x151,x152)+P5(x151,x152)
% 0.53/0.68 [16]P2(x161,x162)+P6(x161,x162)
% 0.53/0.68 [17]P9(x171,x172)+P11(x171,x172)
% 0.53/0.68 [18]~P4(x181,x182)+P5(x181,x182)
% 0.53/0.68 [21]~P8(x211,x212)+~P3(x211,x212)
% 0.53/0.68 [22]~P7(x221,x222)+~P4(x221,x222)
% 0.53/0.68 [23]~P1(x231,x232)+~P5(x231,x232)
% 0.53/0.68 [24]~P2(x241,x242)+~P6(x241,x242)
% 0.53/0.68 [25]~P9(x251,x252)+~P11(x251,x252)
% 0.53/0.68 [45]~P3(x451,x452)+~P6(x452,f7(x451,x452))
% 0.53/0.68 [46]~P3(x461,x462)+~P6(x461,f7(x461,x462))
% 0.53/0.68 [47]~P5(x471,x472)+~P6(f6(x471,x472),x472)
% 0.53/0.68 [48]~P5(x481,x482)+~P6(f6(x481,x482),x481)
% 0.53/0.68 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 0.53/0.68 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 0.53/0.68 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.53/0.68 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 0.53/0.68 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.53/0.68 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 0.53/0.68 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 0.53/0.68 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 0.53/0.68 [32]~P5(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 0.53/0.68 [34]~P10(x342)+~P10(x341)+~P5(x341,x342)+P12(f6(x341,x342))
% 0.53/0.68 [35]~P12(x352)+~P12(x351)+~P3(x351,x352)+P10(f7(x351,x352))
% 0.53/0.68 [37]~P5(x371,x373)+~P11(x371,x373)+P5(x371,x372)+P11(x373,x372)
% 0.53/0.68 [38]~P5(x382,x383)+~P11(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 0.53/0.68 [39]~P5(x392,x393)+~P11(x392,x393)+P5(x391,x392)+P11(x391,x393)
% 0.53/0.68 [40]~P5(x403,x401)+~P11(x403,x401)+P5(x401,x402)+P11(x403,x402)
% 0.53/0.68 [41]~P5(x413,x412)+~P11(x413,x412)+P5(x411,x412)+P11(x411,x413)
% 0.53/0.68 [42]~P5(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 0.53/0.68 [44]P11(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P11(x442,x444)
% 0.53/0.68 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 0.53/0.68 %EqnAxiom
% 0.53/0.68
% 0.53/0.68 %-------------------------------------------
% 0.53/0.68 cnf(50,plain,
% 0.53/0.68 (~P4(f4(x501,x502),x501)),
% 0.53/0.68 inference(scs_inference,[],[9,18])).
% 0.53/0.68 cnf(62,plain,
% 0.53/0.68 (~P6(a2,a1)),
% 0.53/0.68 inference(scs_inference,[],[3,4,5,2,7,9,10,18,17,16,15,14,12,11,24])).
% 0.53/0.68 cnf(64,plain,
% 0.53/0.68 (~P5(a1,a3)),
% 0.53/0.68 inference(scs_inference,[],[1,3,4,5,2,7,9,10,18,17,16,15,14,12,11,24,23])).
% 0.53/0.68 cnf(66,plain,
% 0.53/0.68 (~P11(x661,f5(x661,x662))+~P5(x661,f5(x661,x662))),
% 0.53/0.68 inference(scs_inference,[],[1,3,4,5,2,7,9,10,18,17,16,15,14,12,11,24,23,41])).
% 0.53/0.68 cnf(67,plain,
% 0.53/0.68 (~P5(x671,x671)),
% 0.53/0.68 inference(rename_variables,[],[5])).
% 0.53/0.68 cnf(71,plain,
% 0.53/0.68 (~P5(x711,f4(x711,x712))),
% 0.53/0.68 inference(scs_inference,[],[1,3,4,5,67,2,7,9,10,18,17,16,15,14,12,11,24,23,41,25,31])).
% 0.53/0.68 cnf(74,plain,
% 0.53/0.68 (~P6(x741,f4(f4(x742,x741),x743))),
% 0.53/0.68 inference(scs_inference,[],[1,3,4,5,67,2,7,9,10,18,17,16,15,14,12,11,24,23,41,25,31,30])).
% 0.53/0.68 cnf(80,plain,
% 0.53/0.68 (P5(f5(x801,x802),x801)),
% 0.53/0.68 inference(scs_inference,[],[10,14])).
% 0.53/0.68 cnf(82,plain,
% 0.53/0.68 (P5(x821,f5(x821,x822))),
% 0.53/0.68 inference(scs_inference,[],[5,10,14,31])).
% 0.53/0.68 cnf(83,plain,
% 0.53/0.68 (~P5(x831,x831)),
% 0.53/0.68 inference(rename_variables,[],[5])).
% 0.53/0.68 cnf(85,plain,
% 0.53/0.68 (P4(a1,f4(a3,a2))),
% 0.53/0.68 inference(scs_inference,[],[6,5,10,14,31,12])).
% 0.53/0.68 cnf(87,plain,
% 0.53/0.68 (P5(a1,f4(a3,a2))),
% 0.53/0.68 inference(scs_inference,[],[6,5,10,14,31,12,18])).
% 0.53/0.68 cnf(89,plain,
% 0.53/0.68 (~P11(x891,f5(x891,x892))),
% 0.53/0.68 inference(scs_inference,[],[6,5,10,14,31,12,18,66])).
% 0.53/0.68 cnf(91,plain,
% 0.53/0.68 (P11(f5(f4(a3,a2),x911),a1)),
% 0.53/0.68 inference(scs_inference,[],[6,5,10,14,31,12,18,66,32])).
% 0.53/0.68 cnf(92,plain,
% 0.53/0.68 (~P11(f5(x921,x922),x921)),
% 0.53/0.68 inference(rename_variables,[],[10])).
% 0.53/0.68 cnf(106,plain,
% 0.53/0.68 (~P5(f4(x1061,x1062),f4(x1061,x1063))),
% 0.53/0.68 inference(scs_inference,[],[6,8,9,5,83,10,92,50,74,14,31,12,18,66,32,23,44,48,47,37,34,29])).
% 0.53/0.68 cnf(117,plain,
% 0.53/0.68 (~P11(x1171,f5(x1171,x1172))),
% 0.53/0.68 inference(rename_variables,[],[89])).
% 0.53/0.68 cnf(123,plain,
% 0.53/0.68 (~P5(x1231,x1231)),
% 0.53/0.68 inference(rename_variables,[],[5])).
% 0.53/0.68 cnf(148,plain,
% 0.53/0.68 (P5(x1481,f4(f5(x1481,x1482),x1483))),
% 0.53/0.68 inference(scs_inference,[],[50,4,7,5,123,9,10,80,82,89,117,106,62,64,91,85,87,71,32,28,29,14,12,18,44,40,39,22,38,41,23,31])).
% 0.53/0.68 cnf(153,plain,
% 0.53/0.68 (~P11(f5(x1531,x1532),x1531)),
% 0.53/0.68 inference(rename_variables,[],[10])).
% 0.53/0.68 cnf(156,plain,
% 0.53/0.68 (~P4(f4(x1561,x1562),x1561)),
% 0.53/0.68 inference(rename_variables,[],[50])).
% 0.53/0.68 cnf(161,plain,
% 0.53/0.68 ($false),
% 0.53/0.68 inference(scs_inference,[],[50,156,10,153,148,64,87,85,71,41,28,32,29]),
% 0.53/0.68 ['proof']).
% 0.53/0.68 % SZS output end Proof
% 0.53/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------