TSTP Solution File: GEO170+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO170+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 : n007.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 22:43:16 EDT 2023
% Result : Theorem 0.51s 0.66s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 23:22:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 0.51/0.65 %-------------------------------------------
% 0.51/0.65 % File :CSE---1.6
% 0.51/0.65 % Problem :theBenchmark
% 0.51/0.65 % Transform :cnf
% 0.51/0.65 % Format :tptp:raw
% 0.51/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.65
% 0.51/0.65 % Result :Theorem 0.030000s
% 0.51/0.65 % Output :CNFRefutation 0.030000s
% 0.51/0.65 %-------------------------------------------
% 0.51/0.65 %------------------------------------------------------------------------------
% 0.51/0.65 % File : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.51/0.65 % Domain : Geometry (Constructive)
% 0.51/0.65 % Problem : Uniqueness of constructed lines
% 0.51/0.65 % Version : [vPl95] axioms.
% 0.51/0.65 % English : If two distinct points are incident with a line, then this line
% 0.51/0.65 % is equivalent with the connecting line of these points.
% 0.51/0.65
% 0.51/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.65 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.51/0.65 % Source : [Rat07]
% 0.51/0.65 % Names : Theorem 3.1 [vPl95]
% 0.51/0.65
% 0.51/0.65 % Status : Theorem
% 0.51/0.65 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0
% 0.51/0.65 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.51/0.65 % Number of atoms : 97 ( 0 equ)
% 0.51/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.65 % Number of connectives : 89 ( 28 ~; 19 |; 15 &)
% 0.51/0.65 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.51/0.65 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.65 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.51/0.65 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.51/0.65 % Number of variables : 84 ( 84 !; 0 ?)
% 0.51/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.65
% 0.51/0.65 % Comments :
% 0.51/0.65 %------------------------------------------------------------------------------
% 0.51/0.65 include('Axioms/GEO006+0.ax').
% 0.51/0.65 include('Axioms/GEO006+1.ax').
% 0.51/0.65 include('Axioms/GEO006+2.ax').
% 0.51/0.65 include('Axioms/GEO006+3.ax').
% 0.51/0.65 include('Axioms/GEO006+4.ax').
% 0.51/0.65 include('Axioms/GEO006+5.ax').
% 0.51/0.65 include('Axioms/GEO006+6.ax').
% 0.51/0.65 %------------------------------------------------------------------------------
% 0.51/0.65 fof(con,conjecture,
% 0.51/0.65 ! [X,Y,Z] :
% 0.51/0.65 ( ( distinct_points(X,Y)
% 0.51/0.65 & incident_point_and_line(X,Z)
% 0.51/0.65 & incident_point_and_line(Y,Z) )
% 0.51/0.65 => equal_lines(Z,line_connecting(X,Y)) ) ).
% 0.51/0.65
% 0.51/0.65 %------------------------------------------------------------------------------
% 0.51/0.66 %-------------------------------------------
% 0.51/0.66 % Proof found
% 0.51/0.66 % SZS status Theorem for theBenchmark
% 0.51/0.66 % SZS output start Proof
% 0.51/0.66 %ClaNum:50(EqnAxiom:0)
% 0.51/0.66 %VarNum:218(SingletonVarNum:98)
% 0.51/0.66 %MaxLitNum:6
% 0.51/0.66 %MaxfuncDepth:1
% 0.51/0.66 %SharedTerms:8
% 0.51/0.66 %goalClause: 1 2 3 7
% 0.51/0.66 %singleGoalClaCount:4
% 0.51/0.66 [1]P1(a1,a2)
% 0.51/0.66 [2]P5(a1,a3)
% 0.51/0.66 [3]P5(a2,a3)
% 0.51/0.66 [7]~P6(a3,f4(a1,a2))
% 0.51/0.66 [4]~P1(x41,x41)
% 0.51/0.66 [5]~P2(x51,x51)
% 0.51/0.66 [6]~P3(x61,x61)
% 0.51/0.66 [8]~P4(x81,f6(x82,x81))
% 0.51/0.66 [9]~P4(x91,f7(x92,x91))
% 0.51/0.66 [10]~P3(f6(x101,x102),x101)
% 0.51/0.66 [11]~P8(f7(x111,x112),x111)
% 0.51/0.66 [12]P7(x121,x122)+P1(x121,x122)
% 0.51/0.66 [13]P6(x131,x132)+P2(x131,x132)
% 0.51/0.66 [15]P8(x151,x152)+P3(x151,x152)
% 0.51/0.66 [16]P9(x161,x162)+P3(x161,x162)
% 0.51/0.66 [17]P5(x171,x172)+P4(x171,x172)
% 0.51/0.66 [18]P10(x181,x182)+P8(x181,x182)
% 0.51/0.66 [19]~P2(x191,x192)+P3(x191,x192)
% 0.51/0.66 [22]~P7(x221,x222)+~P1(x221,x222)
% 0.51/0.66 [23]~P6(x231,x232)+~P2(x231,x232)
% 0.51/0.66 [24]~P9(x241,x242)+~P3(x241,x242)
% 0.51/0.66 [25]~P5(x251,x252)+~P4(x251,x252)
% 0.51/0.66 [26]~P10(x261,x262)+~P8(x261,x262)
% 0.51/0.66 [46]~P1(x461,x462)+~P4(x462,f4(x461,x462))
% 0.51/0.66 [47]~P1(x471,x472)+~P4(x471,f4(x471,x472))
% 0.51/0.66 [48]~P3(x481,x482)+~P4(f5(x481,x482),x482)
% 0.51/0.66 [49]~P3(x491,x492)+~P4(f5(x491,x492),x491)
% 0.51/0.66 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 0.51/0.66 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.51/0.66 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.51/0.66 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 0.51/0.66 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 0.51/0.66 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 0.51/0.66 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 0.51/0.66 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 0.51/0.66 [33]~P3(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 0.51/0.66 [35]~P11(x352)+~P11(x351)+~P3(x351,x352)+P12(f5(x351,x352))
% 0.51/0.66 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f4(x361,x362))
% 0.51/0.66 [38]~P3(x381,x383)+~P8(x381,x383)+P3(x381,x382)+P8(x383,x382)
% 0.51/0.66 [39]~P3(x392,x393)+~P8(x392,x393)+P3(x391,x392)+P3(x391,x393)
% 0.51/0.66 [40]~P3(x402,x403)+~P8(x402,x403)+P3(x401,x402)+P8(x401,x403)
% 0.51/0.66 [41]~P3(x413,x411)+~P8(x413,x411)+P3(x411,x412)+P8(x413,x412)
% 0.51/0.66 [42]~P3(x423,x422)+~P8(x423,x422)+P3(x421,x422)+P8(x421,x423)
% 0.51/0.66 [43]~P3(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 0.51/0.66 [45]P8(x453,x454)+~P2(x453,x452)+P4(x451,x452)+P4(x451,x453)+P8(x452,x454)
% 0.51/0.66 [50]P4(x504,x503)+~P1(x504,x501)+~P2(x503,x502)+P4(x501,x502)+P4(x501,x503)+P4(x504,x502)
% 0.51/0.66 %EqnAxiom
% 0.51/0.66
% 0.51/0.66 %-------------------------------------------
% 0.51/0.66 cnf(67,plain,
% 0.51/0.66 (~P4(a1,a3)),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,2,8,10,11,22,19,18,17,16,15,13,12,27,25])).
% 0.51/0.66 cnf(69,plain,
% 0.51/0.66 (~P4(a1,f4(a1,a2))),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,2,8,10,11,22,19,18,17,16,15,13,12,27,25,47])).
% 0.51/0.66 cnf(71,plain,
% 0.51/0.66 (~P4(a2,f4(a1,a2))),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,2,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46])).
% 0.51/0.66 cnf(73,plain,
% 0.51/0.66 (~P8(x731,f7(x731,x732))+~P3(x731,f7(x731,x732))),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,2,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42])).
% 0.51/0.66 cnf(74,plain,
% 0.51/0.66 (~P3(x741,x741)),
% 0.51/0.66 inference(rename_variables,[],[6])).
% 0.51/0.66 cnf(80,plain,
% 0.51/0.66 (~P4(x801,f6(f6(x802,x801),x803))),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,74,2,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42,26,32,31])).
% 0.51/0.66 cnf(84,plain,
% 0.51/0.66 (P4(a2,f7(x841,a1))+P4(a2,f6(x842,a1))+~P2(f6(x842,a1),f7(x841,a1))),
% 0.51/0.66 inference(scs_inference,[],[1,4,5,6,74,2,8,9,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42,26,32,31,45,50])).
% 0.51/0.66 cnf(86,plain,
% 0.51/0.66 (P2(a3,f4(a1,a2))),
% 0.51/0.66 inference(scs_inference,[],[7,13])).
% 0.51/0.66 cnf(88,plain,
% 0.51/0.66 (P3(f7(x881,x882),x881)),
% 0.51/0.66 inference(scs_inference,[],[7,11,13,15])).
% 0.51/0.67 cnf(90,plain,
% 0.51/0.67 (P4(a2,a3)),
% 0.51/0.67 inference(scs_inference,[],[1,7,11,69,71,67,13,15,50])).
% 0.51/0.67 cnf(100,plain,
% 0.51/0.67 (~P8(x1001,f7(x1001,x1002))),
% 0.51/0.67 inference(scs_inference,[],[1,7,9,6,11,69,71,67,13,15,50,19,32,31,73])).
% 0.51/0.67 cnf(112,plain,
% 0.51/0.67 (~P4(f5(a3,f4(a1,a2)),a3)),
% 0.51/0.67 inference(scs_inference,[],[1,3,7,9,6,11,80,69,71,67,13,15,50,19,32,31,73,84,24,23,33,25,49])).
% 0.51/0.67 cnf(114,plain,
% 0.51/0.67 (~P4(f5(a3,f4(a1,a2)),f4(a1,a2))),
% 0.51/0.67 inference(scs_inference,[],[1,3,7,9,6,11,80,69,71,67,13,15,50,19,32,31,73,84,24,23,33,25,49,48])).
% 0.51/0.67 cnf(138,plain,
% 0.51/0.67 (~P8(x1381,f7(x1381,x1382))),
% 0.51/0.67 inference(rename_variables,[],[100])).
% 0.51/0.67 cnf(146,plain,
% 0.51/0.67 ($false),
% 0.51/0.67 inference(scs_inference,[],[3,5,6,11,88,100,138,114,86,112,90,28,29,45,33,30,25]),
% 0.51/0.67 ['proof']).
% 0.51/0.67 % SZS output end Proof
% 0.51/0.67 % Total time :0.030000s
%------------------------------------------------------------------------------