%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO199+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n017.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 06:04:27 EDT 2024
% Result : Theorem 52.24s 52.30s
% Output : CNFRefutation 52.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO199+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 10:35:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 52.24/52.29 %-------------------------------------------
% 52.24/52.29 % File :CSE---1.7
% 52.24/52.29 % Problem :theBenchmark
% 52.24/52.29 % Transform :cnf
% 52.24/52.29 % Format :tptp:raw
% 52.24/52.29 % Command :java -jar mcs_scs.jar %d %s
% 52.24/52.29
% 52.24/52.29 % Result :Theorem 51.650000s
% 52.24/52.29 % Output :CNFRefutation 51.650000s
% 52.24/52.29 %-------------------------------------------
% 52.24/52.30 %------------------------------------------------------------------------------
% 52.24/52.30 % File : GEO199+3 : TPTP v8.2.0. Released v4.0.0.
% 52.24/52.30 % Domain : Geometry (Constructive)
% 52.24/52.30 % Problem : Corollary to symmetry of incidence
% 52.24/52.30 % Version : [vPl95] axioms.
% 52.24/52.30 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 52.24/52.30 % intersection point of X and Y is incident with Z, then the
% 52.24/52.30 % intersection point of Y and X is incident with Z.
% 52.24/52.30
% 52.24/52.30 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 52.24/52.30 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 52.24/52.30 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 52.24/52.30 % Source : [Rat07]
% 52.24/52.30 % Names : Corollary 4.12.iii [vPl95]
% 52.24/52.30
% 52.24/52.30 % Status : Theorem
% 52.24/52.30 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.16 v4.0.0
% 52.24/52.30 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 52.24/52.30 % Number of atoms : 98 ( 0 equ)
% 52.24/52.30 % Maximal formula atoms : 6 ( 2 avg)
% 52.24/52.30 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 52.24/52.30 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 52.24/52.30 % Maximal formula depth : 9 ( 5 avg)
% 52.24/52.30 % Maximal term depth : 2 ( 1 avg)
% 52.24/52.30 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 52.24/52.30 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 52.24/52.30 % Number of variables : 84 ( 84 !; 0 ?)
% 52.24/52.30 % SPC : FOF_THM_RFO_NEQ
% 52.24/52.30
% 52.24/52.30 % Comments :
% 52.24/52.30 %------------------------------------------------------------------------------
% 52.24/52.30 include('Axioms/GEO006+0.ax').
% 52.24/52.30 include('Axioms/GEO006+1.ax').
% 52.24/52.30 include('Axioms/GEO006+2.ax').
% 52.24/52.30 include('Axioms/GEO006+3.ax').
% 52.24/52.30 include('Axioms/GEO006+4.ax').
% 52.24/52.30 include('Axioms/GEO006+5.ax').
% 52.24/52.30 include('Axioms/GEO006+6.ax').
% 52.24/52.30 %------------------------------------------------------------------------------
% 52.24/52.30 fof(con,conjecture,
% 52.24/52.30 ! [X,Y,Z] :
% 52.24/52.30 ( ( convergent_lines(X,Y)
% 52.24/52.30 & convergent_lines(Z,Y)
% 52.24/52.30 & convergent_lines(X,Z)
% 52.24/52.30 & incident_point_and_line(intersection_point(X,Y),Z) )
% 52.24/52.30 => incident_point_and_line(intersection_point(Y,X),Z) ) ).
% 52.24/52.30
% 52.24/52.30 %------------------------------------------------------------------------------
% 52.24/52.30 %-------------------------------------------
% 52.24/52.30 % Proof found
% 52.24/52.30 % SZS status Theorem for theBenchmark
% 52.24/52.30 % SZS output start Proof
% 52.24/52.31 %ClaNum:51(EqnAxiom:0)
% 52.24/52.31 %VarNum:218(SingletonVarNum:98)
% 52.24/52.31 %MaxLitNum:6
% 52.24/52.31 %MaxfuncDepth:1
% 52.24/52.31 %SharedTerms:10
% 52.24/52.31 %goalClause: 1 2 3 4 8
% 52.24/52.31 %singleGoalClaCount:5
% 52.24/52.31 [1]P1(a1,a2)
% 52.24/52.31 [2]P1(a1,a3)
% 52.24/52.31 [3]P1(a3,a2)
% 52.24/52.31 [4]P3(f4(a1,a2),a3)
% 52.24/52.31 [8]~P3(f4(a2,a1),a3)
% 52.24/52.31 [5]~P4(x51,x51)
% 52.24/52.31 [6]~P5(x61,x61)
% 52.24/52.31 [7]~P1(x71,x71)
% 52.24/52.31 [9]~P2(x91,f5(x92,x91))
% 52.24/52.31 [10]~P2(x101,f6(x102,x101))
% 52.24/52.31 [11]~P1(f5(x111,x112),x111)
% 52.24/52.31 [12]~P8(f6(x121,x122),x121)
% 52.24/52.31 [13]P6(x131,x132)+P4(x131,x132)
% 52.24/52.31 [14]P7(x141,x142)+P5(x141,x142)
% 52.24/52.31 [16]P8(x161,x162)+P1(x161,x162)
% 52.24/52.31 [17]P9(x171,x172)+P1(x171,x172)
% 52.24/52.31 [18]P3(x181,x182)+P2(x181,x182)
% 52.24/52.31 [19]P10(x191,x192)+P8(x191,x192)
% 52.24/52.31 [20]~P5(x201,x202)+P1(x201,x202)
% 52.24/52.31 [23]~P6(x231,x232)+~P4(x231,x232)
% 52.24/52.31 [24]~P7(x241,x242)+~P5(x241,x242)
% 52.24/52.31 [25]~P9(x251,x252)+~P1(x251,x252)
% 52.24/52.31 [26]~P3(x261,x262)+~P2(x261,x262)
% 52.24/52.31 [27]~P10(x271,x272)+~P8(x271,x272)
% 52.24/52.31 [47]~P4(x471,x472)+~P2(x472,f7(x471,x472))
% 52.24/52.31 [48]~P4(x481,x482)+~P2(x481,f7(x481,x482))
% 52.24/52.31 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 52.24/52.31 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 52.24/52.31 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 52.24/52.31 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 52.24/52.31 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 52.24/52.31 [29]~P2(x291,x293)+P4(x291,x292)+P2(x292,x293)
% 52.24/52.31 [30]~P5(x303,x301)+P5(x301,x302)+P5(x303,x302)
% 52.24/52.31 [31]~P1(x313,x311)+P5(x311,x312)+P1(x313,x312)
% 52.24/52.31 [32]~P2(x323,x321)+P5(x321,x322)+P2(x323,x322)
% 52.24/52.31 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 52.24/52.31 [34]~P1(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 52.24/52.31 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 52.24/52.31 [37]~P12(x372)+~P12(x371)+~P4(x371,x372)+P11(f7(x371,x372))
% 52.24/52.31 [39]~P1(x391,x393)+~P8(x391,x393)+P1(x391,x392)+P8(x393,x392)
% 52.24/52.31 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 52.24/52.31 [41]~P1(x412,x413)+~P8(x412,x413)+P1(x411,x412)+P8(x411,x413)
% 52.24/52.31 [42]~P1(x423,x421)+~P8(x423,x421)+P1(x421,x422)+P8(x423,x422)
% 52.24/52.31 [43]~P1(x433,x432)+~P8(x433,x432)+P1(x431,x432)+P8(x431,x433)
% 52.24/52.31 [44]~P1(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 52.24/52.31 [46]P8(x463,x464)+~P5(x463,x462)+P2(x461,x462)+P2(x461,x463)+P8(x462,x464)
% 52.24/52.31 [51]P2(x514,x513)+~P4(x514,x511)+~P5(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 52.24/52.31 %EqnAxiom
% 52.24/52.31
% 52.24/52.31 %-------------------------------------------
% 52.24/52.33 cnf(60,plain,
% 52.24/52.33 (~P5(f5(x601,x602),x601)),
% 52.24/52.33 inference(scs_inference,[],[1,7,9,11,25,17,18,16,20])).
% 52.24/52.33 cnf(71,plain,
% 52.24/52.33 (~P1(x711,x711)),
% 52.24/52.33 inference(rename_variables,[],[7])).
% 52.24/52.33 cnf(76,plain,
% 52.24/52.33 (P8(f6(a1,x761),a2)),
% 52.24/52.33 inference(scs_inference,[],[1,5,6,7,71,9,11,12,25,17,18,16,20,13,14,19,27,31,33,34])).
% 52.24/52.33 cnf(79,plain,
% 52.24/52.33 (P5(a1,a2)),
% 52.24/52.33 inference(scs_inference,[],[1,5,6,7,71,9,11,12,25,17,18,16,20,13,14,19,27,31,33,34,30])).
% 52.24/52.33 cnf(103,plain,
% 52.24/52.33 (P8(f5(x1031,x1032),x1031)),
% 52.24/52.33 inference(scs_inference,[],[60,79,11,14,24,17,16])).
% 52.24/52.33 cnf(111,plain,
% 52.24/52.33 (~P2(x1111,f5(f6(x1112,x1111),x1113))),
% 52.24/52.33 inference(scs_inference,[],[2,76,60,10,79,11,14,24,17,16,25,18,27,32])).
% 52.24/52.33 cnf(112,plain,
% 52.24/52.33 (~P5(f5(x1121,x1122),x1121)),
% 52.24/52.33 inference(rename_variables,[],[60])).
% 52.24/52.33 cnf(114,plain,
% 52.24/52.33 (~P1(f5(x1141,x1142),f5(x1141,x1143))),
% 52.24/52.33 inference(scs_inference,[],[2,76,60,112,10,79,11,14,24,17,16,25,18,27,32,31])).
% 52.24/52.33 cnf(117,plain,
% 52.24/52.33 (~P5(f5(x1171,x1172),f5(x1171,x1173))),
% 52.24/52.33 inference(scs_inference,[],[2,76,60,112,10,79,11,14,24,17,16,25,18,27,32,31,20])).
% 52.24/52.33 cnf(161,plain,
% 52.24/52.33 (~P2(x1611,f5(x1612,x1613))),
% 52.24/52.33 inference(scs_inference,[],[3,114,103,117,111,60,9,18,14,17,27,25,16,30,32])).
% 52.24/52.33 cnf(3822,plain,
% 52.24/52.33 (~P1(x38221,f5(x38221,x38222))),
% 52.24/52.33 inference(scs_inference,[],[60,7,31])).
% 52.24/52.33 cnf(3846,plain,
% 52.24/52.33 (~P5(x38461,f5(x38461,x38462))),
% 52.24/52.33 inference(scs_inference,[],[3822,20])).
% 52.24/52.33 cnf(10426,plain,
% 52.24/52.33 ($false),
% 52.24/52.33 inference(scs_inference,[],[161,8,3846,32,18]),
% 52.24/52.33 ['proof']).
% 52.24/52.34 % SZS output end Proof
% 52.24/52.34 % Total time :51.650000s
%------------------------------------------------------------------------------