%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO208+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 : n027.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 06:04:33 EDT 2024
% Result : Theorem 2.23s 2.39s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO208+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n027.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 07:15:38 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.51 start to proof:theBenchmark
% 2.23/2.38 %-------------------------------------------
% 2.23/2.38 % File :CSE---1.7
% 2.23/2.38 % Problem :theBenchmark
% 2.23/2.38 % Transform :cnf
% 2.23/2.38 % Format :tptp:raw
% 2.23/2.38 % Command :java -jar mcs_scs.jar %d %s
% 2.23/2.38
% 2.23/2.38 % Result :Theorem 1.830000s
% 2.23/2.38 % Output :CNFRefutation 1.830000s
% 2.23/2.38 %-------------------------------------------
% 2.23/2.39 %------------------------------------------------------------------------------
% 2.23/2.39 % File : GEO208+3 : TPTP v8.2.0. Released v4.0.0.
% 2.23/2.39 % Domain : Geometry (Constructive)
% 2.23/2.39 % Problem : Point on both parallel lines
% 2.23/2.39 % Version : [vPl95] axioms.
% 2.23/2.39 % English : If the point X is incident with both the lines Y and Z, and
% 2.23/2.39 % Y and Z are parallel, then Y and Z are equal.
% 2.23/2.39
% 2.23/2.39 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 2.23/2.39 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 2.23/2.39 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 2.23/2.39 % Source : [Rat07]
% 2.23/2.39 % Names : Lemma 7.3 [vPl95]
% 2.23/2.39
% 2.23/2.39 % Status : Theorem
% 2.23/2.39 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0
% 2.23/2.39 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 2.23/2.39 % Number of atoms : 97 ( 0 equ)
% 2.23/2.39 % Maximal formula atoms : 6 ( 2 avg)
% 2.23/2.39 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 2.23/2.39 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 2.23/2.39 % Maximal formula depth : 9 ( 5 avg)
% 2.23/2.39 % Maximal term depth : 2 ( 1 avg)
% 2.23/2.39 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 2.23/2.39 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 2.23/2.39 % Number of variables : 84 ( 84 !; 0 ?)
% 2.23/2.39 % SPC : FOF_THM_RFO_NEQ
% 2.23/2.39
% 2.23/2.39 % Comments :
% 2.23/2.39 %------------------------------------------------------------------------------
% 2.23/2.39 include('Axioms/GEO006+0.ax').
% 2.23/2.39 include('Axioms/GEO006+1.ax').
% 2.23/2.39 include('Axioms/GEO006+2.ax').
% 2.23/2.39 include('Axioms/GEO006+3.ax').
% 2.23/2.39 include('Axioms/GEO006+4.ax').
% 2.23/2.39 include('Axioms/GEO006+5.ax').
% 2.23/2.39 include('Axioms/GEO006+6.ax').
% 2.23/2.39 %------------------------------------------------------------------------------
% 2.23/2.39 fof(con,conjecture,
% 2.23/2.39 ! [X,Y,Z] :
% 2.23/2.39 ( ( incident_point_and_line(X,Y)
% 2.23/2.39 & incident_point_and_line(X,Z)
% 2.23/2.39 & parallel_lines(Y,Z) )
% 2.23/2.39 => equal_lines(Y,Z) ) ).
% 2.23/2.39
% 2.23/2.39 %------------------------------------------------------------------------------
% 2.23/2.39 %-------------------------------------------
% 2.23/2.39 % Proof found
% 2.23/2.39 % SZS status Theorem for theBenchmark
% 2.23/2.39 % SZS output start Proof
% 2.23/2.39 %ClaNum:50(EqnAxiom:0)
% 2.23/2.39 %VarNum:218(SingletonVarNum:98)
% 2.23/2.39 %MaxLitNum:6
% 2.23/2.39 %MaxfuncDepth:1
% 2.23/2.39 %SharedTerms:7
% 2.23/2.39 %goalClause: 1 2 3 4
% 2.23/2.39 %singleGoalClaCount:4
% 2.23/2.39 [1]P1(a1,a3)
% 2.23/2.39 [2]P2(a2,a1)
% 2.23/2.39 [3]P2(a2,a3)
% 2.23/2.39 [4]~P3(a1,a3)
% 2.23/2.39 [5]~P4(x51,x51)
% 2.23/2.39 [6]~P5(x61,x61)
% 2.23/2.39 [7]~P6(x71,x71)
% 2.23/2.39 [8]~P7(x81,f4(x82,x81))
% 2.23/2.39 [9]~P7(x91,f5(x92,x91))
% 2.23/2.39 [10]~P6(f4(x101,x102),x101)
% 2.23/2.39 [11]~P11(f5(x111,x112),x111)
% 2.23/2.39 [12]P8(x121,x122)+P4(x121,x122)
% 2.23/2.39 [13]P3(x131,x132)+P5(x131,x132)
% 2.23/2.39 [15]P11(x151,x152)+P6(x151,x152)
% 2.23/2.39 [16]P1(x161,x162)+P6(x161,x162)
% 2.23/2.39 [17]P2(x171,x172)+P7(x171,x172)
% 2.23/2.39 [18]P9(x181,x182)+P11(x181,x182)
% 2.23/2.39 [19]~P5(x191,x192)+P6(x191,x192)
% 2.23/2.39 [22]~P8(x221,x222)+~P4(x221,x222)
% 2.23/2.39 [23]~P3(x231,x232)+~P5(x231,x232)
% 2.23/2.39 [24]~P1(x241,x242)+~P6(x241,x242)
% 2.23/2.39 [25]~P2(x251,x252)+~P7(x251,x252)
% 2.23/2.39 [26]~P9(x261,x262)+~P11(x261,x262)
% 2.23/2.39 [46]~P4(x461,x462)+~P7(x462,f7(x461,x462))
% 2.23/2.39 [47]~P4(x471,x472)+~P7(x471,f7(x471,x472))
% 2.23/2.39 [48]~P6(x481,x482)+~P7(f6(x481,x482),x482)
% 2.23/2.39 [49]~P6(x491,x492)+~P7(f6(x491,x492),x491)
% 2.23/2.39 [20]~P12(x202)+~P10(x201)+P10(f4(x201,x202))
% 2.23/2.39 [21]~P12(x212)+~P10(x211)+P10(f5(x211,x212))
% 2.23/2.39 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 2.23/2.39 [28]~P7(x281,x283)+P4(x281,x282)+P7(x282,x283)
% 2.23/2.39 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 2.23/2.39 [30]~P6(x303,x301)+P5(x301,x302)+P6(x303,x302)
% 2.23/2.39 [31]~P7(x313,x311)+P5(x311,x312)+P7(x313,x312)
% 2.23/2.39 [32]~P6(x323,x321)+P6(x321,x322)+P6(x323,x322)
% 2.23/2.39 [33]~P6(x333,x332)+P11(x331,x332)+P11(x331,x333)
% 2.23/2.39 [35]~P10(x352)+~P10(x351)+~P6(x351,x352)+P12(f6(x351,x352))
% 2.23/2.39 [36]~P12(x362)+~P12(x361)+~P4(x361,x362)+P10(f7(x361,x362))
% 2.23/2.39 [38]~P6(x381,x383)+~P11(x381,x383)+P6(x381,x382)+P11(x383,x382)
% 2.23/2.39 [39]~P6(x392,x393)+~P11(x392,x393)+P6(x391,x392)+P6(x391,x393)
% 2.23/2.39 [40]~P6(x402,x403)+~P11(x402,x403)+P6(x401,x402)+P11(x401,x403)
% 2.23/2.39 [41]~P6(x413,x411)+~P11(x413,x411)+P6(x411,x412)+P11(x413,x412)
% 2.23/2.39 [42]~P6(x423,x422)+~P11(x423,x422)+P6(x421,x422)+P11(x421,x423)
% 2.23/2.39 [43]~P6(x431,x433)+~P11(x431,x433)+P11(x431,x432)+P11(x433,x432)
% 2.23/2.39 [45]P11(x453,x454)+~P5(x453,x452)+P7(x451,x452)+P7(x451,x453)+P11(x452,x454)
% 2.23/2.39 [50]P7(x504,x503)+~P4(x504,x501)+~P5(x503,x502)+P7(x501,x502)+P7(x501,x503)+P7(x504,x502)
% 2.23/2.39 %EqnAxiom
% 2.23/2.39
% 2.23/2.39 %-------------------------------------------
% 2.33/2.41 cnf(3085,plain,
% 2.33/2.41 (~P6(a1,a3)),
% 2.33/2.41 inference(scs_inference,[],[7,1,32,24])).
% 2.33/2.41 cnf(3088,plain,
% 2.33/2.41 ($false),
% 2.33/2.41 inference(scs_inference,[],[4,3085,19,13]),
% 2.33/2.41 ['proof']).
% 2.33/2.41 % SZS output end Proof
% 2.33/2.41 % Total time :1.830000s
%------------------------------------------------------------------------------