%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO206+3 : TPTP v8.2.0. Bugfixed v4.0.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 06:04:32 EDT 2024
% Result : Theorem 31.06s 31.12s
% Output : CNFRefutation 31.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO206+3 : TPTP v8.2.0. Bugfixed v4.0.1.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jun 21 10:08:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 31.06/31.11 %-------------------------------------------
% 31.06/31.11 % File :CSE---1.7
% 31.06/31.11 % Problem :theBenchmark
% 31.06/31.11 % Transform :cnf
% 31.06/31.11 % Format :tptp:raw
% 31.06/31.11 % Command :java -jar mcs_scs.jar %d %s
% 31.06/31.11
% 31.06/31.11 % Result :Theorem 30.520000s
% 31.06/31.11 % Output :CNFRefutation 30.520000s
% 31.06/31.11 %-------------------------------------------
% 31.06/31.12 %------------------------------------------------------------------------------
% 31.06/31.12 % File : GEO206+3 : TPTP v8.2.0. Bugfixed v4.0.1.
% 31.06/31.12 % Domain : Geometry (Constructive)
% 31.06/31.12 % Problem : Point on parallel lines
% 31.06/31.12 % Version : [vPl95] axioms.
% 31.06/31.12 % English : If the point X is incident with the line Y, and the lines
% 31.06/31.12 % Y and Z are parallel, then the line Y is equal to the parallel
% 31.06/31.12 % of Z through point X.
% 31.06/31.12
% 31.06/31.12 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 31.06/31.12 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 31.06/31.12 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 31.06/31.12 % Source : [Rat07]
% 31.06/31.12 % Names : Theorem 7.1 [vPl95]
% 31.06/31.12
% 31.06/31.12 % Status : Theorem
% 31.06/31.12 % 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
% 31.06/31.12 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 31.06/31.12 % Number of atoms : 96 ( 0 equ)
% 31.06/31.12 % Maximal formula atoms : 6 ( 2 avg)
% 31.06/31.12 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 31.06/31.12 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 31.06/31.12 % Maximal formula depth : 9 ( 5 avg)
% 31.06/31.12 % Maximal term depth : 2 ( 1 avg)
% 31.06/31.12 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 31.06/31.12 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 31.06/31.12 % Number of variables : 84 ( 84 !; 0 ?)
% 31.06/31.12 % SPC : FOF_THM_RFO_NEQ
% 31.06/31.12
% 31.06/31.12 % Comments :
% 31.06/31.12 % Bugfixed : v4.0.1 - Fixed conjecture.
% 31.06/31.12 %------------------------------------------------------------------------------
% 31.06/31.12 include('Axioms/GEO006+0.ax').
% 31.06/31.12 include('Axioms/GEO006+1.ax').
% 31.06/31.12 include('Axioms/GEO006+2.ax').
% 31.06/31.12 include('Axioms/GEO006+3.ax').
% 31.06/31.12 include('Axioms/GEO006+4.ax').
% 31.06/31.12 include('Axioms/GEO006+5.ax').
% 31.06/31.12 include('Axioms/GEO006+6.ax').
% 31.06/31.12 %------------------------------------------------------------------------------
% 31.06/31.12 fof(con,conjecture,
% 31.06/31.12 ! [X,Y,Z] :
% 31.06/31.12 ( ( incident_point_and_line(X,Y)
% 31.06/31.12 & parallel_lines(Y,Z) )
% 31.06/31.12 => equal_lines(Y,parallel_through_point(Z,X)) ) ).
% 31.06/31.12
% 31.06/31.12 %------------------------------------------------------------------------------
% 31.06/31.12 %-------------------------------------------
% 31.06/31.12 % Proof found
% 31.06/31.12 % SZS status Theorem for theBenchmark
% 31.06/31.12 % SZS output start Proof
% 31.06/31.12 %ClaNum:49(EqnAxiom:0)
% 31.06/31.12 %VarNum:218(SingletonVarNum:98)
% 31.06/31.13 %MaxLitNum:6
% 31.06/31.13 %MaxfuncDepth:1
% 31.06/31.13 %SharedTerms:7
% 31.06/31.13 %goalClause: 1 2 6
% 31.06/31.13 %singleGoalClaCount:3
% 31.06/31.13 [1]P1(a1,a3)
% 31.06/31.13 [2]P2(a2,a1)
% 31.06/31.13 [6]~P7(a1,f4(a3,a2))
% 31.06/31.13 [3]~P3(x31,x31)
% 31.06/31.13 [4]~P4(x41,x41)
% 31.06/31.13 [5]~P5(x51,x51)
% 31.06/31.13 [7]~P6(x71,f4(x72,x71))
% 31.06/31.13 [8]~P6(x81,f5(x82,x81))
% 31.06/31.13 [9]~P5(f4(x91,x92),x91)
% 31.06/31.13 [10]~P11(f5(x101,x102),x101)
% 31.06/31.13 [11]P8(x111,x112)+P3(x111,x112)
% 31.06/31.13 [12]P7(x121,x122)+P4(x121,x122)
% 31.06/31.13 [14]P11(x141,x142)+P5(x141,x142)
% 31.06/31.13 [15]P1(x151,x152)+P5(x151,x152)
% 31.06/31.13 [16]P2(x161,x162)+P6(x161,x162)
% 31.06/31.13 [17]P9(x171,x172)+P11(x171,x172)
% 31.06/31.13 [18]~P4(x181,x182)+P5(x181,x182)
% 31.06/31.13 [21]~P8(x211,x212)+~P3(x211,x212)
% 31.06/31.13 [22]~P7(x221,x222)+~P4(x221,x222)
% 31.06/31.13 [23]~P1(x231,x232)+~P5(x231,x232)
% 31.06/31.13 [24]~P2(x241,x242)+~P6(x241,x242)
% 31.06/31.13 [25]~P9(x251,x252)+~P11(x251,x252)
% 31.06/31.13 [45]~P3(x451,x452)+~P6(x452,f7(x451,x452))
% 31.06/31.13 [46]~P3(x461,x462)+~P6(x461,f7(x461,x462))
% 31.06/31.13 [47]~P5(x471,x472)+~P6(f6(x471,x472),x472)
% 31.06/31.13 [48]~P5(x481,x482)+~P6(f6(x481,x482),x481)
% 31.06/31.13 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 31.06/31.13 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 31.06/31.13 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 31.06/31.13 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 31.06/31.13 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 31.06/31.13 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 31.06/31.13 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 31.06/31.13 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 31.06/31.13 [32]~P5(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 31.06/31.13 [34]~P10(x342)+~P10(x341)+~P5(x341,x342)+P12(f6(x341,x342))
% 31.06/31.13 [35]~P12(x352)+~P12(x351)+~P3(x351,x352)+P10(f7(x351,x352))
% 31.06/31.13 [37]~P5(x371,x373)+~P11(x371,x373)+P5(x371,x372)+P11(x373,x372)
% 31.06/31.13 [38]~P5(x382,x383)+~P11(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 31.06/31.13 [39]~P5(x392,x393)+~P11(x392,x393)+P5(x391,x392)+P11(x391,x393)
% 31.06/31.13 [40]~P5(x403,x401)+~P11(x403,x401)+P5(x401,x402)+P11(x403,x402)
% 31.06/31.13 [41]~P5(x413,x412)+~P11(x413,x412)+P5(x411,x412)+P11(x411,x413)
% 31.06/31.13 [42]~P5(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 31.06/31.13 [44]P11(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P11(x442,x444)
% 31.06/31.13 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 31.06/31.13 %EqnAxiom
% 31.06/31.13
% 31.06/31.13 %-------------------------------------------
% 31.06/31.14 cnf(58,plain,
% 31.06/31.14 (~P4(f4(x581,x582),x581)),
% 31.06/31.14 inference(scs_inference,[],[4,5,9,7,12,15,14,16,18])).
% 31.06/31.14 cnf(4098,plain,
% 31.06/31.14 (P4(f4(a3,a2),a1)),
% 31.06/31.14 inference(scs_inference,[],[6,4,12,28])).
% 31.06/31.14 cnf(4116,plain,
% 31.06/31.14 (P4(a1,a3)),
% 31.06/31.14 inference(scs_inference,[],[58,4098,28])).
% 31.06/31.14 cnf(9218,plain,
% 31.06/31.14 (~P5(a1,a3)),
% 31.06/31.14 inference(scs_inference,[],[1,23])).
% 31.06/31.14 cnf(9228,plain,
% 31.06/31.14 ($false),
% 31.06/31.14 inference(scs_inference,[],[9218,4116,18]),
% 31.06/31.14 ['proof']).
% 31.06/31.14 % SZS output end Proof
% 31.06/31.14 % Total time :30.520000s
%------------------------------------------------------------------------------