TSTP Solution File: GEO198+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO198+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 : n026.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 22:43:35 EDT 2023
% Result : Theorem 0.21s 0.78s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 21:10:36 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.62 start to proof:theBenchmark
% 0.21/0.77 %-------------------------------------------
% 0.21/0.77 % File :CSE---1.6
% 0.21/0.77 % Problem :theBenchmark
% 0.21/0.77 % Transform :cnf
% 0.21/0.77 % Format :tptp:raw
% 0.21/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.77
% 0.21/0.77 % Result :Theorem 0.100000s
% 0.21/0.77 % Output :CNFRefutation 0.100000s
% 0.21/0.77 %-------------------------------------------
% 0.21/0.77 %------------------------------------------------------------------------------
% 0.21/0.77 % File : GEO198+3 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.77 % Domain : Geometry (Constructive)
% 0.21/0.77 % Problem : Corollary to symmetry of incidence
% 0.21/0.78 % Version : [vPl95] axioms.
% 0.21/0.78 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 0.21/0.78 % intersection point of X and Y is incident with Z, then the
% 0.21/0.78 % intersection point of X and Z is incident with Y.
% 0.21/0.78
% 0.21/0.78 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.21/0.78 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.21/0.78 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.21/0.78 % Source : [Rat07]
% 0.21/0.78 % Names : Corollary 4.12.ii [vPl95]
% 0.21/0.78
% 0.21/0.78 % Status : Theorem
% 0.21/0.78 % 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
% 0.21/0.78 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.21/0.78 % Number of atoms : 98 ( 0 equ)
% 0.21/0.78 % Maximal formula atoms : 6 ( 2 avg)
% 0.21/0.78 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 0.21/0.78 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.21/0.78 % Maximal formula depth : 9 ( 5 avg)
% 0.21/0.78 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.78 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.21/0.78 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.21/0.78 % Number of variables : 84 ( 84 !; 0 ?)
% 0.21/0.78 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.78
% 0.21/0.78 % Comments :
% 0.21/0.78 %------------------------------------------------------------------------------
% 0.21/0.78 include('Axioms/GEO006+0.ax').
% 0.21/0.78 include('Axioms/GEO006+1.ax').
% 0.21/0.78 include('Axioms/GEO006+2.ax').
% 0.21/0.78 include('Axioms/GEO006+3.ax').
% 0.21/0.78 include('Axioms/GEO006+4.ax').
% 0.21/0.78 include('Axioms/GEO006+5.ax').
% 0.21/0.78 include('Axioms/GEO006+6.ax').
% 0.21/0.78 %------------------------------------------------------------------------------
% 0.21/0.78 fof(con,conjecture,
% 0.21/0.78 ! [X,Y,Z] :
% 0.21/0.78 ( ( convergent_lines(X,Y)
% 0.21/0.78 & convergent_lines(Z,Y)
% 0.21/0.78 & convergent_lines(X,Z)
% 0.21/0.78 & incident_point_and_line(intersection_point(X,Y),Z) )
% 0.21/0.78 => incident_point_and_line(intersection_point(X,Z),Y) ) ).
% 0.21/0.78
% 0.21/0.78 %------------------------------------------------------------------------------
% 0.21/0.78 %-------------------------------------------
% 0.21/0.78 % Proof found
% 0.21/0.78 % SZS status Theorem for theBenchmark
% 0.21/0.78 % SZS output start Proof
% 0.21/0.78 %ClaNum:51(EqnAxiom:0)
% 0.21/0.78 %VarNum:218(SingletonVarNum:98)
% 0.21/0.78 %MaxLitNum:6
% 0.21/0.78 %MaxfuncDepth:1
% 0.21/0.78 %SharedTerms:10
% 0.21/0.78 %goalClause: 1 2 3 4 8
% 0.21/0.78 %singleGoalClaCount:5
% 0.21/0.78 [1]P1(a1,a2)
% 0.21/0.78 [2]P1(a1,a3)
% 0.21/0.78 [3]P1(a3,a2)
% 0.21/0.78 [4]P3(f4(a1,a2),a3)
% 0.21/0.78 [8]~P3(f4(a1,a3),a2)
% 0.21/0.78 [5]~P4(x51,x51)
% 0.21/0.78 [6]~P5(x61,x61)
% 0.21/0.78 [7]~P1(x71,x71)
% 0.21/0.78 [9]~P2(x91,f5(x92,x91))
% 0.21/0.78 [10]~P2(x101,f6(x102,x101))
% 0.21/0.78 [11]~P1(f5(x111,x112),x111)
% 0.21/0.78 [12]~P8(f6(x121,x122),x121)
% 0.21/0.78 [13]P6(x131,x132)+P4(x131,x132)
% 0.21/0.78 [14]P7(x141,x142)+P5(x141,x142)
% 0.21/0.78 [16]P8(x161,x162)+P1(x161,x162)
% 0.21/0.78 [17]P9(x171,x172)+P1(x171,x172)
% 0.21/0.78 [18]P3(x181,x182)+P2(x181,x182)
% 0.21/0.78 [19]P10(x191,x192)+P8(x191,x192)
% 0.21/0.78 [20]~P5(x201,x202)+P1(x201,x202)
% 0.21/0.78 [23]~P6(x231,x232)+~P4(x231,x232)
% 0.21/0.78 [24]~P7(x241,x242)+~P5(x241,x242)
% 0.21/0.78 [25]~P9(x251,x252)+~P1(x251,x252)
% 0.21/0.78 [26]~P3(x261,x262)+~P2(x261,x262)
% 0.21/0.78 [27]~P10(x271,x272)+~P8(x271,x272)
% 0.21/0.78 [47]~P4(x471,x472)+~P2(x472,f7(x471,x472))
% 0.21/0.78 [48]~P4(x481,x482)+~P2(x481,f7(x481,x482))
% 0.21/0.78 [49]~P1(x491,x492)+~P2(f4(x491,x492),x492)
% 0.21/0.78 [50]~P1(x501,x502)+~P2(f4(x501,x502),x501)
% 0.21/0.78 [21]~P12(x212)+~P11(x211)+P11(f5(x211,x212))
% 0.21/0.78 [22]~P12(x222)+~P11(x221)+P11(f6(x221,x222))
% 0.21/0.78 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.21/0.78 [29]~P2(x291,x293)+P4(x291,x292)+P2(x292,x293)
% 0.21/0.78 [30]~P5(x303,x301)+P5(x301,x302)+P5(x303,x302)
% 0.21/0.78 [31]~P1(x313,x311)+P5(x311,x312)+P1(x313,x312)
% 0.21/0.78 [32]~P2(x323,x321)+P5(x321,x322)+P2(x323,x322)
% 0.21/0.78 [33]~P1(x333,x331)+P1(x331,x332)+P1(x333,x332)
% 0.21/0.78 [34]~P1(x343,x342)+P8(x341,x342)+P8(x341,x343)
% 0.21/0.78 [36]~P11(x362)+~P11(x361)+~P1(x361,x362)+P12(f4(x361,x362))
% 0.21/0.78 [37]~P12(x372)+~P12(x371)+~P4(x371,x372)+P11(f7(x371,x372))
% 0.21/0.78 [39]~P1(x391,x393)+~P8(x391,x393)+P1(x391,x392)+P8(x393,x392)
% 0.21/0.78 [40]~P1(x402,x403)+~P8(x402,x403)+P1(x401,x402)+P1(x401,x403)
% 0.21/0.78 [41]~P1(x412,x413)+~P8(x412,x413)+P1(x411,x412)+P8(x411,x413)
% 0.21/0.78 [42]~P1(x423,x421)+~P8(x423,x421)+P1(x421,x422)+P8(x423,x422)
% 0.21/0.78 [43]~P1(x433,x432)+~P8(x433,x432)+P1(x431,x432)+P8(x431,x433)
% 0.21/0.78 [44]~P1(x441,x443)+~P8(x441,x443)+P8(x441,x442)+P8(x443,x442)
% 0.21/0.78 [46]P8(x463,x464)+~P5(x463,x462)+P2(x461,x462)+P2(x461,x463)+P8(x462,x464)
% 0.21/0.78 [51]P2(x514,x513)+~P4(x514,x511)+~P5(x513,x512)+P2(x511,x512)+P2(x511,x513)+P2(x514,x512)
% 0.21/0.78 %EqnAxiom
% 0.21/0.78
% 0.21/0.78 %-------------------------------------------
% 0.21/0.79 cnf(53,plain,
% 0.21/0.79 (~P5(f5(x531,x532),x531)),
% 0.21/0.79 inference(scs_inference,[],[1,11,25,20])).
% 0.21/0.79 cnf(66,plain,
% 0.21/0.79 (P8(f6(a1,x661),a2)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,9,11,12,25,20,19,18,17,16,14,13,34])).
% 0.21/0.79 cnf(67,plain,
% 0.21/0.79 (~P8(f6(x671,x672),x671)),
% 0.21/0.79 inference(rename_variables,[],[12])).
% 0.21/0.79 cnf(69,plain,
% 0.21/0.79 (P1(a2,a1)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,9,11,12,25,20,19,18,17,16,14,13,34,33])).
% 0.21/0.79 cnf(70,plain,
% 0.21/0.79 (~P1(x701,x701)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(72,plain,
% 0.21/0.79 (P5(a2,a1)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,70,9,11,12,25,20,19,18,17,16,14,13,34,33,31])).
% 0.21/0.79 cnf(73,plain,
% 0.21/0.79 (~P1(x731,x731)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(75,plain,
% 0.21/0.79 (P5(a1,a2)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,70,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30])).
% 0.21/0.79 cnf(79,plain,
% 0.21/0.79 (~P2(f4(a1,a2),a1)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,70,4,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30,26,50])).
% 0.21/0.79 cnf(81,plain,
% 0.21/0.79 (~P2(f4(a1,a2),a2)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,70,4,9,11,12,25,20,19,18,17,16,14,13,34,33,31,30,26,50,49])).
% 0.21/0.79 cnf(95,plain,
% 0.21/0.79 (P8(x951,a3)+P8(a2,a3)+~P8(a1,a2)+~P8(a3,a2)+P1(x951,a1)),
% 0.21/0.79 inference(scs_inference,[],[1,5,6,7,70,73,2,3,4,9,11,12,67,25,20,19,18,17,16,14,13,34,33,31,30,26,50,49,43,27,24,32,44,42,41])).
% 0.21/0.79 cnf(104,plain,
% 0.21/0.79 (P2(f4(a1,a3),a2)),
% 0.21/0.79 inference(scs_inference,[],[8,18])).
% 0.21/0.79 cnf(106,plain,
% 0.21/0.79 (P5(a2,f6(x1061,f4(a1,a3)))),
% 0.21/0.79 inference(scs_inference,[],[8,10,18,32])).
% 0.21/0.79 cnf(109,plain,
% 0.21/0.79 (P1(f6(x1091,x1092),x1091)),
% 0.21/0.79 inference(scs_inference,[],[8,10,12,18,32,16])).
% 0.21/0.79 cnf(114,plain,
% 0.21/0.79 (P1(a2,f6(x1141,f4(a1,a3)))),
% 0.21/0.79 inference(scs_inference,[],[1,8,10,12,18,32,16,34,20])).
% 0.21/0.79 cnf(118,plain,
% 0.21/0.79 (~P1(f5(x1181,x1182),f5(x1181,x1183))),
% 0.21/0.79 inference(scs_inference,[],[1,8,10,11,12,53,81,79,72,18,32,16,34,20,46,31])).
% 0.21/0.79 cnf(119,plain,
% 0.21/0.79 (~P5(f5(x1191,x1192),x1191)),
% 0.21/0.79 inference(rename_variables,[],[53])).
% 0.21/0.79 cnf(121,plain,
% 0.21/0.79 (~P5(x1211,f5(x1211,x1212))),
% 0.21/0.79 inference(scs_inference,[],[1,8,10,11,12,6,53,119,81,79,72,18,32,16,34,20,46,31,30])).
% 0.21/0.79 cnf(123,plain,
% 0.21/0.79 (P8(f5(a2,x1231),f6(a1,x1232))+~P1(f6(a1,x1232),a2)),
% 0.21/0.79 inference(scs_inference,[],[1,8,10,11,12,6,53,119,81,66,79,72,18,32,16,34,20,46,31,30,43])).
% 0.21/0.79 cnf(142,plain,
% 0.21/0.79 (P4(f4(a1,a3),f4(a1,a2))),
% 0.21/0.79 inference(scs_inference,[],[104,81,29])).
% 0.21/0.79 cnf(144,plain,
% 0.21/0.79 (P1(f6(f5(x1441,x1442),x1443),x1441)),
% 0.21/0.79 inference(scs_inference,[],[11,109,104,81,29,33])).
% 0.21/0.79 cnf(147,plain,
% 0.21/0.79 (~P8(a2,f6(a2,f4(a1,a3)))),
% 0.21/0.79 inference(scs_inference,[],[11,12,7,109,114,104,81,29,33,39])).
% 0.21/0.79 cnf(148,plain,
% 0.21/0.79 (~P1(x1481,x1481)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(157,plain,
% 0.21/0.79 (~P5(f5(x1571,x1572),f5(x1571,x1573))),
% 0.21/0.79 inference(scs_inference,[],[2,10,11,12,7,148,109,118,114,104,81,29,33,39,18,31,20])).
% 0.21/0.79 cnf(159,plain,
% 0.21/0.79 (P8(f5(x1591,x1592),x1591)),
% 0.21/0.79 inference(scs_inference,[],[2,10,11,12,7,148,109,118,114,104,81,29,33,39,18,31,20,16])).
% 0.21/0.79 cnf(161,plain,
% 0.21/0.79 (P5(f6(x1611,f4(a1,a3)),a2)),
% 0.21/0.79 inference(scs_inference,[],[2,10,11,6,12,7,148,109,118,106,114,104,81,29,33,39,18,31,20,16,30])).
% 0.21/0.79 cnf(185,plain,
% 0.21/0.79 (~P1(x1851,x1851)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(187,plain,
% 0.21/0.79 (P1(f6(x1871,f4(a1,a3)),a2)),
% 0.21/0.79 inference(scs_inference,[],[2,7,142,161,23,33,20])).
% 0.21/0.79 cnf(191,plain,
% 0.21/0.79 (P4(f4(a1,a2),f4(a1,a3))),
% 0.21/0.79 inference(scs_inference,[],[2,5,7,142,161,23,33,20,123,28])).
% 0.21/0.79 cnf(195,plain,
% 0.21/0.79 (~P1(x1951,x1951)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(197,plain,
% 0.21/0.79 (~P1(x1971,f5(x1971,x1972))),
% 0.21/0.79 inference(scs_inference,[],[2,5,7,185,195,142,161,53,23,33,20,123,28,43,31])).
% 0.21/0.79 cnf(222,plain,
% 0.21/0.79 (~P1(x2221,x2221)),
% 0.21/0.79 inference(rename_variables,[],[7])).
% 0.21/0.79 cnf(224,plain,
% 0.21/0.79 (P8(a2,f6(a1,f4(a1,a3)))),
% 0.21/0.79 inference(scs_inference,[],[3,7,222,187,66,50,31,39])).
% 0.21/0.79 cnf(231,plain,
% 0.21/0.79 (~P8(f6(x2311,x2312),x2311)),
% 0.21/0.79 inference(rename_variables,[],[12])).
% 0.21/0.79 cnf(233,plain,
% 0.21/0.79 (~P8(f6(f5(x2331,x2332),x2333),x2331)),
% 0.21/0.79 inference(scs_inference,[],[3,7,222,12,231,197,144,187,114,66,50,31,39,43,42])).
% 0.21/0.79 cnf(235,plain,
% 0.21/0.79 (~P8(f6(x2351,x2352),x2351)),
% 0.21/0.79 inference(rename_variables,[],[12])).
% 0.21/0.79 cnf(239,plain,
% 0.21/0.79 (P5(a1,f5(a2,x2391))),
% 0.21/0.79 inference(scs_inference,[],[3,7,222,12,231,235,197,144,187,75,121,114,66,50,31,39,43,42,44,30])).
% 0.21/0.79 cnf(242,plain,
% 0.21/0.79 (P1(a2,a3)),
% 0.21/0.79 inference(scs_inference,[],[3,7,222,12,231,235,197,144,187,75,121,114,66,50,31,39,43,42,44,30,20])).
% 0.21/0.79 cnf(249,plain,
% 0.21/0.79 (~P1(f5(x2491,x2492),x2491)),
% 0.21/0.79 inference(rename_variables,[],[11])).
% 0.21/0.79 cnf(265,plain,
% 0.21/0.79 (~P5(f6(f5(x2651,x2652),x2653),f6(x2651,x2654))+P2(x2653,f6(x2651,x2654))),
% 0.21/0.79 inference(scs_inference,[],[3,53,10,7,222,12,231,235,11,249,159,197,144,191,187,75,121,114,147,66,50,31,39,43,42,44,30,20,37,36,95,49,25,17,14,27,24,19,46])).
% 0.21/0.79 cnf(272,plain,
% 0.21/0.79 (~P1(x2721,f5(x2721,x2722))),
% 0.21/0.79 inference(rename_variables,[],[197])).
% 0.21/0.79 cnf(279,plain,
% 0.21/0.79 (P2(f4(a1,a3),a1)+P2(f4(a1,a3),f5(a2,f4(a1,a2)))),
% 0.21/0.79 inference(scs_inference,[],[3,9,10,6,239,191,197,79,33,30,265,51])).
% 0.21/0.79 cnf(283,plain,
% 0.21/0.79 (P8(f6(a1,f4(a1,a3)),f5(a2,x2831))+P2(f4(a1,a3),f5(a2,f4(a1,a2)))),
% 0.21/0.79 inference(scs_inference,[],[3,9,10,6,224,239,191,197,272,79,114,2,33,30,265,51,50,39])).
% 0.21/0.79 cnf(307,plain,
% 0.21/0.79 (P2(f4(a1,a3),a1)),
% 0.21/0.79 inference(scs_inference,[],[53,9,69,157,233,121,32,34,50,30,283,279])).
% 0.21/0.79 cnf(349,plain,
% 0.21/0.79 ($false),
% 0.21/0.79 inference(scs_inference,[],[10,12,242,307,2,26,32,34,50]),
% 0.21/0.79 ['proof']).
% 0.21/0.79 % SZS output end Proof
% 0.21/0.79 % Total time :0.100000s
%------------------------------------------------------------------------------