%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO198+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 06:04:26 EDT 2024
% Result : Theorem 42.30s 42.37s
% Output : CNFRefutation 42.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO198+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 07:47:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.47/0.59 start to proof:theBenchmark
% 42.30/42.36 %-------------------------------------------
% 42.30/42.36 % File :CSE---1.7
% 42.30/42.36 % Problem :theBenchmark
% 42.30/42.36 % Transform :cnf
% 42.30/42.36 % Format :tptp:raw
% 42.30/42.36 % Command :java -jar mcs_scs.jar %d %s
% 42.30/42.36
% 42.30/42.36 % Result :Theorem 41.720000s
% 42.30/42.36 % Output :CNFRefutation 41.720000s
% 42.30/42.36 %-------------------------------------------
% 42.30/42.37 %------------------------------------------------------------------------------
% 42.30/42.37 % File : GEO198+3 : TPTP v8.2.0. Released v4.0.0.
% 42.30/42.37 % Domain : Geometry (Constructive)
% 42.30/42.37 % Problem : Corollary to symmetry of incidence
% 42.30/42.37 % Version : [vPl95] axioms.
% 42.30/42.37 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 42.30/42.37 % intersection point of X and Y is incident with Z, then the
% 42.30/42.37 % intersection point of X and Z is incident with Y.
% 42.30/42.37
% 42.30/42.37 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 42.30/42.37 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 42.30/42.37 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 42.30/42.37 % Source : [Rat07]
% 42.30/42.37 % Names : Corollary 4.12.ii [vPl95]
% 42.30/42.37
% 42.30/42.37 % Status : Theorem
% 42.30/42.37 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.17 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.1, 0.21 v4.0.0
% 42.30/42.37 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 42.30/42.37 % Number of atoms : 98 ( 0 equ)
% 42.30/42.37 % Maximal formula atoms : 6 ( 2 avg)
% 42.30/42.37 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 42.30/42.37 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 42.30/42.37 % Maximal formula depth : 9 ( 5 avg)
% 42.30/42.37 % Maximal term depth : 2 ( 1 avg)
% 42.30/42.37 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 42.30/42.37 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 42.30/42.37 % Number of variables : 84 ( 84 !; 0 ?)
% 42.30/42.37 % SPC : FOF_THM_RFO_NEQ
% 42.30/42.37
% 42.30/42.37 % Comments :
% 42.30/42.37 %------------------------------------------------------------------------------
% 42.30/42.37 include('Axioms/GEO006+0.ax').
% 42.30/42.37 include('Axioms/GEO006+1.ax').
% 42.30/42.37 include('Axioms/GEO006+2.ax').
% 42.30/42.37 include('Axioms/GEO006+3.ax').
% 42.30/42.37 include('Axioms/GEO006+4.ax').
% 42.30/42.37 include('Axioms/GEO006+5.ax').
% 42.30/42.37 include('Axioms/GEO006+6.ax').
% 42.30/42.37 %------------------------------------------------------------------------------
% 42.30/42.37 fof(con,conjecture,
% 42.30/42.37 ! [X,Y,Z] :
% 42.30/42.37 ( ( convergent_lines(X,Y)
% 42.30/42.37 & convergent_lines(Z,Y)
% 42.30/42.37 & convergent_lines(X,Z)
% 42.30/42.37 & incident_point_and_line(intersection_point(X,Y),Z) )
% 42.30/42.37 => incident_point_and_line(intersection_point(X,Z),Y) ) ).
% 42.30/42.37
% 42.30/42.37 %------------------------------------------------------------------------------
% 42.30/42.37 %-------------------------------------------
% 42.30/42.37 % Proof found
% 42.30/42.37 % SZS status Theorem for theBenchmark
% 42.30/42.37 % SZS output start Proof
% 42.37/42.38 %ClaNum:51(EqnAxiom:0)
% 42.37/42.38 %VarNum:218(SingletonVarNum:98)
% 42.37/42.38 %MaxLitNum:6
% 42.37/42.38 %MaxfuncDepth:1
% 42.37/42.38 %SharedTerms:10
% 42.37/42.38 %goalClause: 1 2 3 4 8
% 42.37/42.38 %singleGoalClaCount:5
% 42.37/42.38 [1]P1(a1,a2)
% 42.37/42.38 [2]P1(a1,a3)
% 42.37/42.38 [3]P1(a3,a2)
% 42.37/42.38 [4]P3(f4(a1,a2),a3)
% 42.37/42.38 [8]~P3(f4(a1,a3),a2)
% 42.37/42.38 [5]~P4(x51,x51)
% 42.37/42.38 [6]~P5(x61,x61)
% 42.37/42.38 [7]~P1(x71,x71)
% 42.37/42.38 [9]~P2(x91,f5(x92,x91))
% 42.37/42.38 [10]~P2(x101,f6(x102,x101))
% 42.37/42.38 [11]~P1(f5(x111,x112),x111)
% 42.37/42.38 [12]~P8(f6(x121,x122),x121)
% 42.37/42.38 [13]P6(x131,x132)+P4(x131,x132)
% 42.37/42.38 [14]P7(x141,x142)+P5(x141,x142)
% 42.37/42.38 [16]P8(x161,x162)+P1(x161,x162)
% 42.37/42.38 [17]P9(x171,x172)+P1(x171,x172)
% 42.37/42.38 [18]P3(x181,x182)+P2(x181,x182)
% 42.37/42.38 [19]P10(x191,x192)+P8(x191,x192)
% 42.37/42.38 [20]~P5(x201,x202)+P1(x201,x202)
% 42.37/42.38 [23]~P6(x231,x232)+~P4(x231,x232)
% 42.37/42.38 [24]~P7(x241,x242)+~P5(x241,x242)
% 42.37/42.38 [25]~P9(x251,x252)+~P1(x251,x252)
% 42.37/42.38 [26]~P3(x261,x262)+~P2(x261,x262)
% 42.37/42.38 [27]~P10(x271,x272)+~P8(x271,x272)
% 42.37/42.38 [47]~P4(x471,x472)+~P2(x472,f7(x471,x472))
% 42.37/42.38 [48]~P4(x481,x482)+~P2(x481,f7(x481,x482))
% 42.37/42.38 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 42.37/42.38 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 42.37/42.38 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 42.37/42.38 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 42.37/42.38 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 42.37/42.38 [29]~P2(x291,x293)+P4(x291,x292)+P2(x292,x293)
% 42.37/42.38 [30]~P5(x303,x301)+P5(x301,x302)+P5(x303,x302)
% 42.37/42.38 [31]~P1(x313,x311)+P5(x311,x312)+P1(x313,x312)
% 42.37/42.38 [32]~P2(x323,x321)+P5(x321,x322)+P2(x323,x322)
% 42.37/42.38 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 42.37/42.38 [34]~P1(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 42.37/42.38 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 42.37/42.38 [37]~P12(x372)+~P12(x371)+~P4(x371,x372)+P11(f7(x371,x372))
% 42.37/42.38 [39]~P1(x391,x393)+~P8(x391,x393)+P1(x391,x392)+P8(x393,x392)
% 42.37/42.38 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 42.37/42.38 [41]~P1(x412,x413)+~P8(x412,x413)+P1(x411,x412)+P8(x411,x413)
% 42.37/42.38 [42]~P1(x423,x421)+~P8(x423,x421)+P1(x421,x422)+P8(x423,x422)
% 42.37/42.38 [43]~P1(x433,x432)+~P8(x433,x432)+P1(x431,x432)+P8(x431,x433)
% 42.37/42.38 [44]~P1(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 42.37/42.38 [46]P8(x463,x464)+~P5(x463,x462)+P2(x461,x462)+P2(x461,x463)+P8(x462,x464)
% 42.37/42.38 [51]P2(x514,x513)+~P4(x514,x511)+~P5(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 42.37/42.38 %EqnAxiom
% 42.37/42.38
% 42.37/42.38 %-------------------------------------------
% 42.37/42.39 cnf(60,plain,
% 42.37/42.39 (~P5(f5(x601,x602),x601)),
% 42.37/42.39 inference(scs_inference,[],[1,7,9,11,25,17,18,16,20])).
% 42.37/42.39 cnf(71,plain,
% 42.37/42.39 (~P1(x711,x711)),
% 42.37/42.39 inference(rename_variables,[],[7])).
% 42.37/42.39 cnf(76,plain,
% 42.37/42.39 (P8(f6(a1,x761),a2)),
% 42.37/42.39 inference(scs_inference,[],[1,5,6,7,71,9,11,12,25,17,18,16,20,13,14,19,27,31,33,34])).
% 42.37/42.39 cnf(79,plain,
% 42.37/42.39 (P5(a1,a2)),
% 42.37/42.39 inference(scs_inference,[],[1,5,6,7,71,9,11,12,25,17,18,16,20,13,14,19,27,31,33,34,30])).
% 42.37/42.39 cnf(107,plain,
% 42.37/42.39 (P8(f5(x1071,x1072),x1071)),
% 42.37/42.39 inference(scs_inference,[],[2,76,60,10,11,27,25,14,18,17,16])).
% 42.37/42.39 cnf(111,plain,
% 42.37/42.39 (~P2(x1111,f5(f6(x1112,x1111),x1113))),
% 42.37/42.39 inference(scs_inference,[],[2,76,60,10,79,11,27,25,14,18,17,16,24,32])).
% 42.37/42.39 cnf(112,plain,
% 42.37/42.39 (~P5(f5(x1121,x1122),x1121)),
% 42.37/42.39 inference(rename_variables,[],[60])).
% 42.37/42.39 cnf(114,plain,
% 42.37/42.39 (~P1(f5(x1141,x1142),f5(x1141,x1143))),
% 42.37/42.39 inference(scs_inference,[],[2,76,60,112,10,79,11,27,25,14,18,17,16,24,32,31])).
% 42.37/42.39 cnf(117,plain,
% 42.37/42.39 (~P5(f5(x1171,x1172),f5(x1171,x1173))),
% 42.37/42.39 inference(scs_inference,[],[2,76,60,112,10,79,11,27,25,14,18,17,16,24,32,31,20])).
% 42.37/42.39 cnf(158,plain,
% 42.37/42.39 (~P2(x1581,f5(x1582,x1583))),
% 42.37/42.39 inference(scs_inference,[],[3,114,107,117,111,60,9,11,27,14,25,18,17,16,30,31,32])).
% 42.37/42.39 cnf(3675,plain,
% 42.37/42.39 (~P1(x36751,f5(x36751,x36752))),
% 42.37/42.39 inference(scs_inference,[],[60,7,31])).
% 42.37/42.39 cnf(3699,plain,
% 42.37/42.39 (~P5(x36991,f5(x36991,x36992))),
% 42.37/42.39 inference(scs_inference,[],[3675,20])).
% 42.37/42.39 cnf(10912,plain,
% 42.37/42.39 ($false),
% 42.37/42.39 inference(scs_inference,[],[158,8,3699,32,18]),
% 42.37/42.39 ['proof']).
% 42.37/42.40 % SZS output end Proof
% 42.37/42.40 % Total time :41.720000s
%------------------------------------------------------------------------------