%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO187+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 : n024.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 06:04:19 EDT 2024
% Result : Theorem 21.11s 21.18s
% Output : CNFRefutation 21.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO187+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.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 08:24:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 21.11/21.17 %-------------------------------------------
% 21.11/21.17 % File :CSE---1.7
% 21.11/21.17 % Problem :theBenchmark
% 21.11/21.17 % Transform :cnf
% 21.11/21.17 % Format :tptp:raw
% 21.11/21.17 % Command :java -jar mcs_scs.jar %d %s
% 21.11/21.17
% 21.11/21.17 % Result :Theorem 20.550000s
% 21.11/21.17 % Output :CNFRefutation 20.550000s
% 21.11/21.17 %-------------------------------------------
% 21.11/21.17 %------------------------------------------------------------------------------
% 21.11/21.17 % File : GEO187+3 : TPTP v8.2.0. Released v4.0.0.
% 21.11/21.17 % Domain : Geometry (Constructive)
% 21.11/21.17 % Problem : Symmetry of incidence
% 21.11/21.17 % Version : [vPl95] axioms.
% 21.11/21.17 % English : If X and Y are distinct points, U and V are distinct points,
% 21.11/21.17 % X and Y are incident with the line connecting U and V, then
% 21.11/21.17 % U and V are incident with the line connecting X and Y.
% 21.11/21.17
% 21.11/21.17 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 21.11/21.17 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 21.11/21.17 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 21.11/21.17 % Source : [Rat07]
% 21.11/21.17 % Names : Theorem 4.6 [vPl95]
% 21.11/21.17
% 21.11/21.17 % Status : Theorem
% 21.11/21.17 % 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
% 21.11/21.17 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 21.11/21.17 % Number of atoms : 99 ( 0 equ)
% 21.11/21.17 % Maximal formula atoms : 6 ( 2 avg)
% 21.11/21.17 % Number of connectives : 91 ( 28 ~; 19 |; 17 &)
% 21.11/21.17 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 21.11/21.17 % Maximal formula depth : 9 ( 6 avg)
% 21.11/21.17 % Maximal term depth : 2 ( 1 avg)
% 21.11/21.17 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 21.11/21.17 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 21.11/21.17 % Number of variables : 85 ( 85 !; 0 ?)
% 21.11/21.17 % SPC : FOF_THM_RFO_NEQ
% 21.11/21.17
% 21.11/21.17 % Comments :
% 21.11/21.17 %------------------------------------------------------------------------------
% 21.11/21.17 include('Axioms/GEO006+0.ax').
% 21.11/21.18 include('Axioms/GEO006+1.ax').
% 21.11/21.18 include('Axioms/GEO006+2.ax').
% 21.11/21.18 include('Axioms/GEO006+3.ax').
% 21.11/21.18 include('Axioms/GEO006+4.ax').
% 21.11/21.18 include('Axioms/GEO006+5.ax').
% 21.11/21.18 include('Axioms/GEO006+6.ax').
% 21.11/21.18 %------------------------------------------------------------------------------
% 21.11/21.18 fof(con,conjecture,
% 21.11/21.18 ! [X,Y,U,V] :
% 21.11/21.18 ( ( distinct_points(X,Y)
% 21.11/21.18 & distinct_points(U,V)
% 21.11/21.18 & incident_point_and_line(X,line_connecting(U,V))
% 21.11/21.18 & incident_point_and_line(Y,line_connecting(U,V)) )
% 21.11/21.18 => ( incident_point_and_line(U,line_connecting(X,Y))
% 21.11/21.18 & incident_point_and_line(V,line_connecting(X,Y)) ) ) ).
% 21.11/21.18
% 21.11/21.18 %------------------------------------------------------------------------------
% 21.11/21.18 %-------------------------------------------
% 21.11/21.18 % Proof found
% 21.11/21.18 % SZS status Theorem for theBenchmark
% 21.11/21.18 % SZS output start Proof
% 21.11/21.18 %ClaNum:51(EqnAxiom:0)
% 21.11/21.18 %VarNum:218(SingletonVarNum:98)
% 21.11/21.18 %MaxLitNum:6
% 21.11/21.18 %MaxfuncDepth:1
% 21.11/21.18 %SharedTerms:12
% 21.11/21.18 %goalClause: 1 2 3 4 50
% 21.11/21.18 %singleGoalClaCount:4
% 21.11/21.18 [1]P1(a1,a2)
% 21.11/21.18 [2]P1(a3,a4)
% 21.11/21.18 [3]P5(a1,f5(a3,a4))
% 21.11/21.18 [4]P5(a2,f5(a3,a4))
% 21.11/21.18 [5]~P1(x51,x51)
% 21.11/21.18 [6]~P2(x61,x61)
% 21.11/21.18 [7]~P3(x71,x71)
% 21.11/21.18 [8]~P4(x81,f7(x82,x81))
% 21.11/21.18 [9]~P4(x91,f8(x92,x91))
% 21.11/21.18 [10]~P3(f7(x101,x102),x101)
% 21.11/21.18 [11]~P8(f8(x111,x112),x111)
% 21.11/21.18 [50]~P5(a4,f5(a1,a2))+~P5(a3,f5(a1,a2))
% 21.11/21.18 [12]P6(x121,x122)+P1(x121,x122)
% 21.11/21.18 [13]P7(x131,x132)+P2(x131,x132)
% 21.11/21.18 [15]P8(x151,x152)+P3(x151,x152)
% 21.11/21.18 [16]P9(x161,x162)+P3(x161,x162)
% 21.11/21.18 [17]P5(x171,x172)+P4(x171,x172)
% 21.11/21.18 [18]P10(x181,x182)+P8(x181,x182)
% 21.11/21.18 [19]~P2(x191,x192)+P3(x191,x192)
% 21.11/21.18 [22]~P6(x221,x222)+~P1(x221,x222)
% 21.11/21.18 [23]~P7(x231,x232)+~P2(x231,x232)
% 21.11/21.18 [24]~P9(x241,x242)+~P3(x241,x242)
% 21.11/21.18 [25]~P5(x251,x252)+~P4(x251,x252)
% 21.11/21.18 [26]~P10(x261,x262)+~P8(x261,x262)
% 21.11/21.18 [46]~P1(x461,x462)+~P4(x462,f5(x461,x462))
% 21.11/21.18 [47]~P1(x471,x472)+~P4(x471,f5(x471,x472))
% 21.11/21.18 [48]~P3(x481,x482)+~P4(f6(x481,x482),x482)
% 21.11/21.18 [49]~P3(x491,x492)+~P4(f6(x491,x492),x491)
% 21.11/21.18 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 21.11/21.18 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 21.11/21.18 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 21.11/21.18 [28]~P4(x281,x283)+P1(x281,x282)+P4(x282,x283)
% 21.11/21.18 [29]~P2(x293,x291)+P2(x291,x292)+P2(x293,x292)
% 21.11/21.18 [30]~P3(x303,x301)+P2(x301,x302)+P3(x303,x302)
% 21.11/21.18 [31]~P4(x313,x311)+P2(x311,x312)+P4(x313,x312)
% 21.11/21.18 [32]~P3(x323,x321)+P3(x321,x322)+P3(x323,x322)
% 21.11/21.18 [33]~P3(x333,x332)+P8(x331,x332)+P8(x331,x333)
% 21.11/21.18 [35]~P11(x352)+~P11(x351)+~P3(x351,x352)+P12(f6(x351,x352))
% 21.11/21.18 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f5(x361,x362))
% 21.11/21.18 [38]~P3(x381,x383)+~P8(x381,x383)+P3(x381,x382)+P8(x383,x382)
% 21.11/21.18 [39]~P3(x392,x393)+~P8(x392,x393)+P3(x391,x392)+P3(x391,x393)
% 21.11/21.18 [40]~P3(x402,x403)+~P8(x402,x403)+P3(x401,x402)+P8(x401,x403)
% 21.11/21.18 [41]~P3(x413,x411)+~P8(x413,x411)+P3(x411,x412)+P8(x413,x412)
% 21.11/21.18 [42]~P3(x423,x422)+~P8(x423,x422)+P3(x421,x422)+P8(x421,x423)
% 21.11/21.18 [43]~P3(x431,x433)+~P8(x431,x433)+P8(x431,x432)+P8(x433,x432)
% 21.11/21.18 [45]P8(x453,x454)+~P2(x453,x452)+P4(x451,x452)+P4(x451,x453)+P8(x452,x454)
% 21.11/21.18 [51]P4(x514,x513)+~P1(x514,x511)+~P2(x513,x512)+P4(x511,x512)+P4(x511,x513)+P4(x514,x512)
% 21.11/21.18 %EqnAxiom
% 21.11/21.18
% 21.11/21.18 %-------------------------------------------
% 21.11/21.19 cnf(60,plain,
% 21.11/21.19 (~P2(f7(x601,x602),x601)),
% 21.11/21.19 inference(scs_inference,[],[1,5,6,8,10,22,12,17,13,19])).
% 21.11/21.19 cnf(85,plain,
% 21.11/21.19 (~P6(a3,a4)),
% 21.11/21.19 inference(scs_inference,[],[2,9,60,10,15,17,13,22])).
% 21.11/21.19 cnf(94,plain,
% 21.11/21.19 (~P2(x941,f7(x941,x942))),
% 21.11/21.19 inference(scs_inference,[],[2,9,60,10,7,15,17,13,22,26,16,32,19])).
% 21.11/21.19 cnf(148,plain,
% 21.11/21.19 (~P4(a3,f5(a3,a4))),
% 21.11/21.19 inference(scs_inference,[],[85,47,12])).
% 21.11/21.19 cnf(257,plain,
% 21.11/21.19 (P4(a3,f5(a1,a2))+~P5(a4,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[50,17])).
% 21.11/21.19 cnf(303,plain,
% 21.11/21.19 (P2(f5(a1,a2),f5(a3,a4))+~P5(a4,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[148,257,31])).
% 21.11/21.19 cnf(625,plain,
% 21.11/21.19 (P3(f5(a1,a2),f5(a3,a4))+~P5(a4,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[303,19])).
% 21.11/21.19 cnf(855,plain,
% 21.11/21.19 (~P9(f5(a1,a2),f5(a3,a4))+~P5(a4,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[625,24])).
% 21.11/21.19 cnf(1085,plain,
% 21.11/21.19 (P4(a4,f5(a1,a2))+~P9(f5(a1,a2),f5(a3,a4))),
% 21.11/21.19 inference(scs_inference,[],[855,17])).
% 21.11/21.19 cnf(1223,plain,
% 21.11/21.19 (P3(f5(a1,a2),f5(a3,a4))+P4(a4,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[1085,16])).
% 21.11/21.19 cnf(2595,plain,
% 21.11/21.19 (P8(x25951,f8(x25952,x25953))+~P3(x25951,x25952)+~P3(f8(x25952,x25953),x25951)),
% 21.11/21.19 inference(scs_inference,[],[11,7,33,42])).
% 21.11/21.19 cnf(8099,plain,
% 21.11/21.19 (~P4(x80991,x80992)),
% 21.11/21.19 inference(scs_inference,[],[94,8,31])).
% 21.11/21.19 cnf(8112,plain,
% 21.11/21.19 (P4(a3,f5(a1,a2))),
% 21.11/21.19 inference(scs_inference,[],[94,8,11,31,1085,1223,17,2595,33,50,257])).
% 21.11/21.19 cnf(8130,plain,
% 21.11/21.19 ($false),
% 21.11/21.19 inference(scs_inference,[],[8112,8099]),
% 21.11/21.19 ['proof']).
% 21.11/21.20 % SZS output end Proof
% 21.11/21.20 % Total time :20.550000s
%------------------------------------------------------------------------------