TSTP Solution File: GEO184+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO184+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 : n032.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 22:43:25 EDT 2023
% Result : Theorem 0.16s 0.59s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Aug 29 23:33:17 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.16/0.49 start to proof:theBenchmark
% 0.16/0.59 %-------------------------------------------
% 0.16/0.59 % File :CSE---1.6
% 0.16/0.59 % Problem :theBenchmark
% 0.16/0.59 % Transform :cnf
% 0.16/0.59 % Format :tptp:raw
% 0.16/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.59
% 0.16/0.59 % Result :Theorem 0.060000s
% 0.16/0.59 % Output :CNFRefutation 0.060000s
% 0.16/0.59 %-------------------------------------------
% 0.16/0.59 %------------------------------------------------------------------------------
% 0.16/0.59 % File : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.59 % Domain : Geometry (Constructive)
% 0.16/0.59 % Problem : Lemma on symmetry and apartness
% 0.16/0.59 % Version : [vPl95] axioms.
% 0.16/0.59 % English : If X and Y are distinct points, then the line that is incident
% 0.16/0.59 % with both points is equal to the line connecting them.
% 0.16/0.59
% 0.16/0.59 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.16/0.59 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.16/0.59 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.16/0.59 % Source : [Rat07]
% 0.16/0.59 % Names : Lemma 4.5.i [vPl95]
% 0.16/0.59
% 0.16/0.59 % Status : Theorem
% 0.16/0.59 % 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
% 0.16/0.59 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.16/0.59 % Number of atoms : 98 ( 0 equ)
% 0.16/0.59 % Maximal formula atoms : 6 ( 2 avg)
% 0.16/0.59 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 0.16/0.59 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.16/0.59 % Maximal formula depth : 9 ( 6 avg)
% 0.16/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.16/0.59 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.16/0.59 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.16/0.59 % Number of variables : 85 ( 85 !; 0 ?)
% 0.16/0.59 % SPC : FOF_THM_RFO_NEQ
% 0.16/0.59
% 0.16/0.59 % Comments :
% 0.16/0.59 %------------------------------------------------------------------------------
% 0.16/0.59 include('Axioms/GEO006+0.ax').
% 0.16/0.59 include('Axioms/GEO006+1.ax').
% 0.16/0.59 include('Axioms/GEO006+2.ax').
% 0.16/0.59 include('Axioms/GEO006+3.ax').
% 0.16/0.59 include('Axioms/GEO006+4.ax').
% 0.16/0.59 include('Axioms/GEO006+5.ax').
% 0.16/0.59 include('Axioms/GEO006+6.ax').
% 0.16/0.59 %------------------------------------------------------------------------------
% 0.16/0.59 fof(con,conjecture,
% 0.16/0.59 ! [X,Y,U,V] :
% 0.16/0.59 ( ( distinct_points(X,Y)
% 0.16/0.59 & convergent_lines(U,V)
% 0.16/0.59 & incident_point_and_line(X,U)
% 0.16/0.59 & incident_point_and_line(Y,U) )
% 0.16/0.59 => equal_lines(U,line_connecting(X,Y)) ) ).
% 0.16/0.59
% 0.16/0.59 %------------------------------------------------------------------------------
% 0.16/0.59 %-------------------------------------------
% 0.16/0.59 % Proof found
% 0.16/0.59 % SZS status Theorem for theBenchmark
% 0.16/0.59 % SZS output start Proof
% 0.16/0.59 %ClaNum:51(EqnAxiom:0)
% 0.16/0.59 %VarNum:218(SingletonVarNum:98)
% 0.16/0.59 %MaxLitNum:6
% 0.16/0.59 %MaxfuncDepth:1
% 0.16/0.59 %SharedTerms:10
% 0.16/0.59 %goalClause: 1 2 3 4 8
% 0.16/0.59 %singleGoalClaCount:5
% 0.16/0.59 [1]P1(a1,a2)
% 0.16/0.59 [2]P2(a3,a4)
% 0.16/0.59 [3]P5(a1,a3)
% 0.16/0.59 [4]P5(a2,a3)
% 0.16/0.59 [8]~P6(a3,f5(a1,a2))
% 0.16/0.59 [5]~P1(x51,x51)
% 0.16/0.59 [6]~P4(x61,x61)
% 0.16/0.59 [7]~P2(x71,x71)
% 0.16/0.59 [9]~P3(x91,f7(x92,x91))
% 0.16/0.59 [10]~P3(x101,f8(x102,x101))
% 0.16/0.59 [11]~P2(f7(x111,x112),x111)
% 0.16/0.59 [12]~P8(f8(x121,x122),x121)
% 0.16/0.59 [13]P7(x131,x132)+P1(x131,x132)
% 0.16/0.59 [14]P6(x141,x142)+P4(x141,x142)
% 0.16/0.59 [16]P8(x161,x162)+P2(x161,x162)
% 0.16/0.59 [17]P9(x171,x172)+P2(x171,x172)
% 0.16/0.59 [18]P5(x181,x182)+P3(x181,x182)
% 0.16/0.59 [19]P10(x191,x192)+P8(x191,x192)
% 0.16/0.60 [20]~P4(x201,x202)+P2(x201,x202)
% 0.16/0.60 [23]~P7(x231,x232)+~P1(x231,x232)
% 0.16/0.60 [24]~P6(x241,x242)+~P4(x241,x242)
% 0.16/0.60 [25]~P9(x251,x252)+~P2(x251,x252)
% 0.16/0.60 [26]~P5(x261,x262)+~P3(x261,x262)
% 0.16/0.60 [27]~P10(x271,x272)+~P8(x271,x272)
% 0.16/0.60 [47]~P1(x471,x472)+~P3(x472,f5(x471,x472))
% 0.16/0.60 [48]~P1(x481,x482)+~P3(x481,f5(x481,x482))
% 0.16/0.60 [49]~P2(x491,x492)+~P3(f6(x491,x492),x492)
% 0.16/0.60 [50]~P2(x501,x502)+~P3(f6(x501,x502),x501)
% 0.16/0.60 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 0.16/0.60 [22]~P12(x222)+~P11(x221)+P11(f8(x221,x222))
% 0.16/0.60 [28]~P1(x283,x281)+P1(x281,x282)+P1(x283,x282)
% 0.16/0.60 [29]~P3(x291,x293)+P1(x291,x292)+P3(x292,x293)
% 0.16/0.60 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 0.16/0.60 [31]~P2(x313,x311)+P4(x311,x312)+P2(x313,x312)
% 0.16/0.60 [32]~P3(x323,x321)+P4(x321,x322)+P3(x323,x322)
% 0.16/0.60 [33]~P2(x333,x331)+P2(x331,x332)+P2(x333,x332)
% 0.16/0.60 [34]~P2(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 0.16/0.60 [36]~P11(x362)+~P11(x361)+~P2(x361,x362)+P12(f6(x361,x362))
% 0.16/0.60 [37]~P12(x372)+~P12(x371)+~P1(x371,x372)+P11(f5(x371,x372))
% 0.16/0.60 [39]~P2(x391,x393)+~P8(x391,x393)+P2(x391,x392)+P8(x393,x392)
% 0.16/0.60 [40]~P2(x402,x403)+~P8(x402,x403)+P2(x401,x402)+P2(x401,x403)
% 0.16/0.60 [41]~P2(x412,x413)+~P8(x412,x413)+P2(x411,x412)+P8(x411,x413)
% 0.16/0.60 [42]~P2(x423,x421)+~P8(x423,x421)+P2(x421,x422)+P8(x423,x422)
% 0.16/0.60 [43]~P2(x433,x432)+~P8(x433,x432)+P2(x431,x432)+P8(x431,x433)
% 0.16/0.60 [44]~P2(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 0.16/0.60 [46]P8(x463,x464)+~P4(x463,x462)+P3(x461,x462)+P3(x461,x463)+P8(x462,x464)
% 0.16/0.60 [51]P3(x514,x513)+~P1(x514,x511)+~P4(x513,x512)+P3(x511,x512)+P3(x511,x513)+P3(x514,x512)
% 0.16/0.60 %EqnAxiom
% 0.16/0.60
% 0.16/0.60 %-------------------------------------------
% 0.16/0.60 cnf(54,plain,
% 0.16/0.60 (~P4(f7(x541,x542),x541)),
% 0.16/0.60 inference(scs_inference,[],[1,2,11,25,23,20])).
% 0.16/0.60 cnf(72,plain,
% 0.16/0.60 (~P2(x721,x721)),
% 0.16/0.60 inference(rename_variables,[],[7])).
% 0.16/0.60 cnf(79,plain,
% 0.16/0.60 (P1(a2,a1)),
% 0.16/0.60 inference(scs_inference,[],[1,5,6,7,72,2,9,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28])).
% 0.16/0.60 cnf(81,plain,
% 0.16/0.60 (~P3(a1,a3)),
% 0.16/0.60 inference(scs_inference,[],[1,5,6,7,72,2,3,9,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,26])).
% 0.16/0.60 cnf(83,plain,
% 0.16/0.60 (~P3(f6(a3,a4),a3)),
% 0.16/0.60 inference(scs_inference,[],[1,5,6,7,72,2,3,9,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,26,50])).
% 0.16/0.60 cnf(87,plain,
% 0.16/0.60 (~P3(a1,f5(a1,a2))),
% 0.16/0.60 inference(scs_inference,[],[1,5,6,7,72,2,3,9,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,26,50,49,48])).
% 0.16/0.60 cnf(89,plain,
% 0.16/0.60 (~P3(a2,f5(a1,a2))),
% 0.16/0.60 inference(scs_inference,[],[1,5,6,7,72,2,3,9,11,12,25,23,20,19,18,17,16,14,13,34,33,31,30,28,26,50,49,48,47])).
% 0.16/0.60 cnf(114,plain,
% 0.16/0.60 (P4(a3,f5(a1,a2))),
% 0.16/0.60 inference(scs_inference,[],[8,14])).
% 0.16/0.60 cnf(117,plain,
% 0.16/0.60 (~P8(f8(x1171,x1172),x1171)),
% 0.16/0.60 inference(rename_variables,[],[12])).
% 0.16/0.60 cnf(121,plain,
% 0.16/0.60 (P2(f8(x1211,x1212),x1211)),
% 0.16/0.60 inference(scs_inference,[],[8,12,117,2,14,34,20,16])).
% 0.16/0.60 cnf(123,plain,
% 0.16/0.60 (P2(f8(f7(x1231,x1232),x1233),x1231)),
% 0.16/0.60 inference(scs_inference,[],[8,11,12,117,2,14,34,20,16,33])).
% 0.16/0.60 cnf(125,plain,
% 0.16/0.60 (~P4(x1251,f7(x1251,x1252))),
% 0.16/0.60 inference(scs_inference,[],[8,11,12,117,6,2,54,14,34,20,16,33,30])).
% 0.16/0.60 cnf(154,plain,
% 0.16/0.60 (~P4(x1541,f7(x1541,x1542))),
% 0.16/0.60 inference(rename_variables,[],[125])).
% 0.16/0.60 cnf(158,plain,
% 0.16/0.60 (P4(f5(a1,a2),a3)),
% 0.16/0.60 inference(scs_inference,[],[2,6,125,154,114,31,14,30])).
% 0.16/0.60 cnf(163,plain,
% 0.16/0.60 (~P2(x1631,f7(x1631,x1632))),
% 0.16/0.60 inference(scs_inference,[],[2,7,6,11,125,154,114,31,14,30,16,33])).
% 0.16/0.60 cnf(195,plain,
% 0.16/0.60 (~P2(x1951,f7(x1951,x1952))),
% 0.16/0.60 inference(rename_variables,[],[163])).
% 0.16/0.60 cnf(200,plain,
% 0.16/0.60 (P3(a2,a3)),
% 0.16/0.60 inference(scs_inference,[],[2,11,7,121,163,195,158,89,87,81,79,31,33,40,51])).
% 0.16/0.60 cnf(233,plain,
% 0.16/0.60 ($false),
% 0.16/0.60 inference(scs_inference,[],[4,12,123,200,83,163,29,42,26]),
% 0.16/0.60 ['proof']).
% 0.16/0.60 % SZS output end Proof
% 0.16/0.60 % Total time :0.060000s
%------------------------------------------------------------------------------