TSTP Solution File: GEO172+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 22:43:17 EDT 2023
% Result : Theorem 0.52s 0.65s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:17:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.51/0.55 start to proof:theBenchmark
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % File :CSE---1.6
% 0.52/0.64 % Problem :theBenchmark
% 0.52/0.64 % Transform :cnf
% 0.52/0.64 % Format :tptp:raw
% 0.52/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.64
% 0.52/0.64 % Result :Theorem 0.020000s
% 0.52/0.64 % Output :CNFRefutation 0.020000s
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 % File : GEO172+3 : TPTP v8.1.2. Released v4.0.0.
% 0.52/0.64 % Domain : Geometry (Constructive)
% 0.52/0.64 % Problem : Uniqueness of constructed points
% 0.52/0.64 % Version : [vPl95] axioms.
% 0.52/0.64 % English : If two lines are convergent and there is a point that is
% 0.52/0.64 % incident with both lines, then this point is equivalent to the
% 0.52/0.64 % intersection point of these lines.
% 0.52/0.64
% 0.52/0.64 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.64 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.64 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.52/0.64 % Source : [Rat07]
% 0.52/0.64 % Names : Theorem 3.3 [vPl95]
% 0.52/0.64
% 0.52/0.64 % Status : Theorem
% 0.52/0.64 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0
% 0.52/0.64 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.52/0.65 % Number of atoms : 97 ( 0 equ)
% 0.52/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.65 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.52/0.65 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.52/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.52/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.65 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.52/0.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.52/0.65 % Number of variables : 84 ( 84 !; 0 ?)
% 0.52/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.65
% 0.52/0.65 % Comments :
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 include('Axioms/GEO006+0.ax').
% 0.52/0.65 include('Axioms/GEO006+1.ax').
% 0.52/0.65 include('Axioms/GEO006+2.ax').
% 0.52/0.65 include('Axioms/GEO006+3.ax').
% 0.52/0.65 include('Axioms/GEO006+4.ax').
% 0.52/0.65 include('Axioms/GEO006+5.ax').
% 0.52/0.65 include('Axioms/GEO006+6.ax').
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 fof(con,conjecture,
% 0.52/0.65 ! [X,Y,Z] :
% 0.52/0.65 ( ( convergent_lines(X,Y)
% 0.52/0.65 & incident_point_and_line(Z,X)
% 0.52/0.65 & incident_point_and_line(Z,Y) )
% 0.52/0.65 => equal_points(Z,intersection_point(X,Y)) ) ).
% 0.52/0.65
% 0.52/0.65 %------------------------------------------------------------------------------
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 % Proof found
% 0.52/0.65 % SZS status Theorem for theBenchmark
% 0.52/0.65 % SZS output start Proof
% 0.52/0.65 %ClaNum:50(EqnAxiom:0)
% 0.52/0.65 %VarNum:218(SingletonVarNum:98)
% 0.52/0.65 %MaxLitNum:6
% 0.52/0.65 %MaxfuncDepth:1
% 0.52/0.65 %SharedTerms:8
% 0.52/0.65 %goalClause: 1 2 3 7
% 0.52/0.65 %singleGoalClaCount:4
% 0.52/0.65 [1]P1(a1,a2)
% 0.52/0.65 [2]P3(a3,a1)
% 0.52/0.65 [3]P3(a3,a2)
% 0.52/0.65 [7]~P6(a3,f4(a1,a2))
% 0.52/0.65 [4]~P4(x41,x41)
% 0.52/0.65 [5]~P5(x51,x51)
% 0.52/0.65 [6]~P1(x61,x61)
% 0.52/0.65 [8]~P2(x81,f5(x82,x81))
% 0.52/0.65 [9]~P2(x91,f6(x92,x91))
% 0.52/0.65 [10]~P1(f5(x101,x102),x101)
% 0.52/0.65 [11]~P8(f6(x111,x112),x111)
% 0.52/0.65 [12]P6(x121,x122)+P4(x121,x122)
% 0.52/0.65 [13]P7(x131,x132)+P5(x131,x132)
% 0.52/0.65 [15]P8(x151,x152)+P1(x151,x152)
% 0.52/0.65 [16]P9(x161,x162)+P1(x161,x162)
% 0.52/0.65 [17]P3(x171,x172)+P2(x171,x172)
% 0.52/0.65 [18]P10(x181,x182)+P8(x181,x182)
% 0.52/0.65 [19]~P5(x191,x192)+P1(x191,x192)
% 0.52/0.65 [22]~P6(x221,x222)+~P4(x221,x222)
% 0.52/0.65 [23]~P7(x231,x232)+~P5(x231,x232)
% 0.52/0.65 [24]~P9(x241,x242)+~P1(x241,x242)
% 0.52/0.65 [25]~P3(x251,x252)+~P2(x251,x252)
% 0.52/0.65 [26]~P10(x261,x262)+~P8(x261,x262)
% 0.52/0.65 [46]~P4(x461,x462)+~P2(x462,f7(x461,x462))
% 0.52/0.65 [47]~P4(x471,x472)+~P2(x471,f7(x471,x472))
% 0.52/0.65 [48]~P1(x481,x482)+~P2(f4(x481,x482),x482)
% 0.52/0.65 [49]~P1(x491,x492)+~P2(f4(x491,x492),x491)
% 0.52/0.65 [20]~P12(x202)+~P11(x201)+P11(f5(x201,x202))
% 0.52/0.65 [21]~P12(x212)+~P11(x211)+P11(f6(x211,x212))
% 0.52/0.65 [27]~P4(x273,x271)+P4(x271,x272)+P4(x273,x272)
% 0.52/0.65 [28]~P2(x281,x283)+P4(x281,x282)+P2(x282,x283)
% 0.52/0.65 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 0.52/0.65 [30]~P1(x303,x301)+P5(x301,x302)+P1(x303,x302)
% 0.52/0.65 [31]~P2(x313,x311)+P5(x311,x312)+P2(x313,x312)
% 0.52/0.65 [32]~P1(x323,x321)+P1(x321,x322)+P1(x323,x322)
% 0.52/0.65 [33]~P1(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 0.52/0.65 [35]~P11(x352)+~P11(x351)+~P1(x351,x352)+P12(f4(x351,x352))
% 0.52/0.65 [36]~P12(x362)+~P12(x361)+~P4(x361,x362)+P11(f7(x361,x362))
% 0.52/0.65 [38]~P1(x381,x383)+~P8(x381,x383)+P1(x381,x382)+P8(x383,x382)
% 0.52/0.65 [39]~P1(x392,x393)+~P8(x392,x393)+P1(x391,x392)+P1(x391,x393)
% 0.52/0.65 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P8(x401,x403)
% 0.52/0.65 [41]~P1(x413,x411)+~P8(x413,x411)+P1(x411,x412)+P8(x413,x412)
% 0.52/0.65 [42]~P1(x423,x422)+~P8(x423,x422)+P1(x421,x422)+P8(x421,x423)
% 0.52/0.65 [43]~P1(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 0.52/0.65 [45]P8(x453,x454)+~P5(x453,x452)+P2(x451,x452)+P2(x451,x453)+P8(x452,x454)
% 0.52/0.65 [50]P2(x504,x503)+~P4(x504,x501)+~P5(x503,x502)+P2(x501,x502)+P2(x501,x503)+P2(x504,x502)
% 0.52/0.65 %EqnAxiom
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(69,plain,
% 0.52/0.65 (~P1(x691,x691)),
% 0.52/0.65 inference(rename_variables,[],[6])).
% 0.52/0.65 cnf(71,plain,
% 0.52/0.65 (P5(a2,a1)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,69,8,10,11,24,19,18,17,16,15,13,12,33,32,30])).
% 0.52/0.65 cnf(76,plain,
% 0.52/0.65 (~P2(a3,a1)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,69,2,8,10,11,24,19,18,17,16,15,13,12,33,32,30,29,25])).
% 0.52/0.65 cnf(78,plain,
% 0.52/0.65 (~P2(f4(a1,a2),a1)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,69,2,8,10,11,24,19,18,17,16,15,13,12,33,32,30,29,25,49])).
% 0.52/0.65 cnf(80,plain,
% 0.52/0.65 (~P2(f4(a1,a2),a2)),
% 0.52/0.65 inference(scs_inference,[],[1,4,5,6,69,2,8,10,11,24,19,18,17,16,15,13,12,33,32,30,29,25,49,48])).
% 0.52/0.65 cnf(111,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[1,3,7,11,80,78,71,76,15,12,33,50,25]),
% 0.52/0.65 ['proof']).
% 0.52/0.65 % SZS output end Proof
% 0.52/0.65 % Total time :0.020000s
%------------------------------------------------------------------------------