TSTP Solution File: GEO187+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO187+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 : n021.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 22:43:27 EDT 2023
% Result : Theorem 0.55s 0.68s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO187+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:36:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.55/0.68 %-------------------------------------------
% 0.55/0.68 % File :CSE---1.6
% 0.55/0.68 % Problem :theBenchmark
% 0.55/0.68 % Transform :cnf
% 0.55/0.68 % Format :tptp:raw
% 0.55/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.68
% 0.55/0.68 % Result :Theorem 0.030000s
% 0.55/0.68 % Output :CNFRefutation 0.030000s
% 0.55/0.68 %-------------------------------------------
% 0.55/0.68 %------------------------------------------------------------------------------
% 0.55/0.68 % File : GEO187+3 : TPTP v8.1.2. Released v4.0.0.
% 0.55/0.68 % Domain : Geometry (Constructive)
% 0.55/0.68 % Problem : Symmetry of incidence
% 0.55/0.68 % Version : [vPl95] axioms.
% 0.55/0.68 % English : If X and Y are distinct points, U and V are distinct points,
% 0.55/0.68 % X and Y are incident with the line connecting U and V, then
% 0.55/0.68 % U and V are incident with the line connecting X and Y.
% 0.55/0.68
% 0.55/0.68 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.55/0.68 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.68 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.55/0.68 % Source : [Rat07]
% 0.55/0.68 % Names : Theorem 4.6 [vPl95]
% 0.55/0.68
% 0.55/0.68 % Status : Theorem
% 0.55/0.68 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0
% 0.55/0.68 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.55/0.68 % Number of atoms : 99 ( 0 equ)
% 0.55/0.68 % Maximal formula atoms : 6 ( 2 avg)
% 0.55/0.68 % Number of connectives : 91 ( 28 ~; 19 |; 17 &)
% 0.55/0.68 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.55/0.68 % Maximal formula depth : 9 ( 6 avg)
% 0.55/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.68 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.55/0.68 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.55/0.68 % Number of variables : 85 ( 85 !; 0 ?)
% 0.55/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.68
% 0.55/0.68 % Comments :
% 0.55/0.68 %------------------------------------------------------------------------------
% 0.55/0.68 include('Axioms/GEO006+0.ax').
% 0.55/0.68 include('Axioms/GEO006+1.ax').
% 0.55/0.68 include('Axioms/GEO006+2.ax').
% 0.55/0.68 include('Axioms/GEO006+3.ax').
% 0.55/0.68 include('Axioms/GEO006+4.ax').
% 0.55/0.68 include('Axioms/GEO006+5.ax').
% 0.55/0.68 include('Axioms/GEO006+6.ax').
% 0.55/0.68 %------------------------------------------------------------------------------
% 0.55/0.68 fof(con,conjecture,
% 0.55/0.68 ! [X,Y,U,V] :
% 0.55/0.68 ( ( distinct_points(X,Y)
% 0.55/0.68 & distinct_points(U,V)
% 0.55/0.68 & incident_point_and_line(X,line_connecting(U,V))
% 0.55/0.68 & incident_point_and_line(Y,line_connecting(U,V)) )
% 0.55/0.68 => ( incident_point_and_line(U,line_connecting(X,Y))
% 0.55/0.68 & incident_point_and_line(V,line_connecting(X,Y)) ) ) ).
% 0.55/0.68
% 0.55/0.68 %------------------------------------------------------------------------------
% 0.55/0.68 %-------------------------------------------
% 0.55/0.68 % Proof found
% 0.55/0.68 % SZS status Theorem for theBenchmark
% 0.55/0.68 % SZS output start Proof
% 0.55/0.68 %ClaNum:51(EqnAxiom:0)
% 0.55/0.68 %VarNum:218(SingletonVarNum:98)
% 0.55/0.68 %MaxLitNum:6
% 0.55/0.68 %MaxfuncDepth:1
% 0.55/0.68 %SharedTerms:12
% 0.55/0.68 %goalClause: 1 2 3 4 50
% 0.55/0.68 %singleGoalClaCount:4
% 0.55/0.68 [1]P1(a1,a2)
% 0.55/0.68 [2]P1(a3,a4)
% 0.55/0.69 [3]P5(a1,f5(a3,a4))
% 0.55/0.69 [4]P5(a2,f5(a3,a4))
% 0.55/0.69 [5]~P1(x51,x51)
% 0.55/0.69 [6]~P2(x61,x61)
% 0.55/0.69 [7]~P3(x71,x71)
% 0.55/0.69 [8]~P4(x81,f7(x82,x81))
% 0.55/0.69 [9]~P4(x91,f8(x92,x91))
% 0.55/0.69 [10]~P3(f7(x101,x102),x101)
% 0.55/0.69 [11]~P8(f8(x111,x112),x111)
% 0.55/0.69 [50]~P5(a4,f5(a1,a2))+~P5(a3,f5(a1,a2))
% 0.55/0.69 [12]P6(x121,x122)+P1(x121,x122)
% 0.55/0.69 [13]P7(x131,x132)+P2(x131,x132)
% 0.55/0.69 [15]P8(x151,x152)+P3(x151,x152)
% 0.55/0.69 [16]P9(x161,x162)+P3(x161,x162)
% 0.55/0.69 [17]P5(x171,x172)+P4(x171,x172)
% 0.55/0.69 [18]P10(x181,x182)+P8(x181,x182)
% 0.55/0.69 [19]~P2(x191,x192)+P3(x191,x192)
% 0.55/0.69 [22]~P6(x221,x222)+~P1(x221,x222)
% 0.55/0.69 [23]~P7(x231,x232)+~P2(x231,x232)
% 0.55/0.69 [24]~P9(x241,x242)+~P3(x241,x242)
% 0.55/0.69 [25]~P5(x251,x252)+~P4(x251,x252)
% 0.55/0.69 [26]~P10(x261,x262)+~P8(x261,x262)
% 0.55/0.69 [46]~P1(x461,x462)+~P4(x462,f5(x461,x462))
% 0.55/0.69 [47]~P1(x471,x472)+~P4(x471,f5(x471,x472))
% 0.55/0.69 [48]~P3(x481,x482)+~P4(f6(x481,x482),x482)
% 0.55/0.69 [49]~P3(x491,x492)+~P4(f6(x491,x492),x491)
% 0.55/0.69 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 0.55/0.69 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 0.55/0.69 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 0.55/0.69 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 0.55/0.69 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 0.55/0.69 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 0.55/0.69 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 0.55/0.69 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 0.55/0.69 [33]~P3(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 0.55/0.69 [35]~P11(x352)+~P11(x351)+~P3(x351,x352)+P12(f6(x351,x352))
% 0.55/0.69 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f5(x361,x362))
% 0.55/0.69 [38]~P3(x381,x383)+~P8(x381,x383)+P3(x381,x382)+P8(x383,x382)
% 0.55/0.69 [39]~P3(x392,x393)+~P8(x392,x393)+P3(x391,x392)+P3(x391,x393)
% 0.55/0.69 [40]~P3(x402,x403)+~P8(x402,x403)+P3(x401,x402)+P8(x401,x403)
% 0.55/0.69 [41]~P3(x413,x411)+~P8(x413,x411)+P3(x411,x412)+P8(x413,x412)
% 0.55/0.69 [42]~P3(x423,x422)+~P8(x423,x422)+P3(x421,x422)+P8(x421,x423)
% 0.55/0.69 [43]~P3(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 0.55/0.69 [45]P8(x453,x454)+~P2(x453,x452)+P4(x451,x452)+P4(x451,x453)+P8(x452,x454)
% 0.55/0.69 [51]P4(x514,x513)+~P1(x514,x511)+~P2(x513,x512)+P4(x511,x512)+P4(x511,x513)+P4(x514,x512)
% 0.55/0.69 %EqnAxiom
% 0.55/0.69
% 0.55/0.69 %-------------------------------------------
% 0.55/0.69 cnf(70,plain,
% 0.55/0.69 (~P4(a1,f5(a1,a2))),
% 0.55/0.69 inference(scs_inference,[],[1,5,6,7,4,8,10,11,22,19,18,17,16,15,13,12,27,25,47])).
% 0.55/0.69 cnf(72,plain,
% 0.55/0.69 (~P4(a2,f5(a1,a2))),
% 0.55/0.69 inference(scs_inference,[],[1,5,6,7,4,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46])).
% 0.55/0.69 cnf(74,plain,
% 0.55/0.69 (~P8(x741,f8(x741,x742))+~P3(x741,f8(x741,x742))),
% 0.55/0.69 inference(scs_inference,[],[1,5,6,7,4,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42])).
% 0.55/0.69 cnf(75,plain,
% 0.55/0.69 (~P3(x751,x751)),
% 0.55/0.69 inference(rename_variables,[],[7])).
% 0.55/0.69 cnf(79,plain,
% 0.55/0.69 (~P3(x791,f7(x791,x792))),
% 0.55/0.69 inference(scs_inference,[],[1,5,6,7,75,4,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42,26,32])).
% 0.55/0.69 cnf(81,plain,
% 0.55/0.69 (~P4(x811,f7(f7(x812,x811),x813))),
% 0.55/0.69 inference(scs_inference,[],[1,5,6,7,75,4,8,10,11,22,19,18,17,16,15,13,12,27,25,47,46,42,26,32,31])).
% 0.55/0.69 cnf(87,plain,
% 0.55/0.69 (~P3(x871,f7(f7(x871,x872),x873))),
% 0.55/0.69 inference(scs_inference,[],[10,79,32])).
% 0.55/0.69 cnf(90,plain,
% 0.55/0.69 (P3(f8(x901,x902),x901)),
% 0.55/0.69 inference(scs_inference,[],[10,11,79,32,15])).
% 0.55/0.69 cnf(112,plain,
% 0.55/0.69 (P2(x1121,f8(x1121,x1122))),
% 0.55/0.69 inference(scs_inference,[],[7,11,90,33,30])).
% 0.55/0.69 cnf(122,plain,
% 0.55/0.69 (P3(x1221,f8(x1221,x1222))),
% 0.55/0.69 inference(scs_inference,[],[2,9,7,10,8,11,90,81,33,30,15,51,19])).
% 0.55/0.69 cnf(126,plain,
% 0.55/0.69 (~P8(x1261,f8(x1261,x1262))),
% 0.55/0.69 inference(scs_inference,[],[122,74])).
% 0.55/0.69 cnf(130,plain,
% 0.55/0.69 (~P4(x1301,f8(x1302,x1301))),
% 0.55/0.69 inference(rename_variables,[],[9])).
% 0.55/0.69 cnf(137,plain,
% 0.55/0.69 (P2(f8(f5(a1,a2),a1),f8(x1371,a2))),
% 0.55/0.69 inference(scs_inference,[],[9,130,11,112,122,70,72,87,90,1,74,51,19,33,31])).
% 0.55/0.69 cnf(168,plain,
% 0.55/0.69 ($false),
% 0.55/0.69 inference(scs_inference,[],[3,10,11,126,137,90,25,33,32,19]),
% 0.55/0.69 ['proof']).
% 0.55/0.69 % SZS output end Proof
% 0.55/0.69 % Total time :0.030000s
%------------------------------------------------------------------------------