%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO183+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 : n001.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 06:04:16 EDT 2024
% Result : Theorem 28.21s 28.29s
% Output : CNFRefutation 28.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO183+3 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 09:40:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.46/0.58 start to proof:theBenchmark
% 28.21/28.28 %-------------------------------------------
% 28.21/28.28 % File :CSE---1.7
% 28.21/28.28 % Problem :theBenchmark
% 28.21/28.28 % Transform :cnf
% 28.21/28.28 % Format :tptp:raw
% 28.21/28.28 % Command :java -jar mcs_scs.jar %d %s
% 28.21/28.28
% 28.21/28.28 % Result :Theorem 27.650000s
% 28.21/28.28 % Output :CNFRefutation 27.650000s
% 28.21/28.28 %-------------------------------------------
% 28.21/28.29 %------------------------------------------------------------------------------
% 28.21/28.29 % File : GEO183+3 : TPTP v8.2.0. Released v4.0.0.
% 28.21/28.29 % Domain : Geometry (Constructive)
% 28.21/28.29 % Problem : Lemma on symmetry and apartness
% 28.21/28.29 % Version : [vPl95] axioms.
% 28.21/28.29 % English : If X and Y are distinct points, then they are incident with
% 28.21/28.29 % the line that is equal to the line connecting the points.
% 28.21/28.29
% 28.21/28.29 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 28.21/28.29 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 28.21/28.29 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 28.21/28.29 % Source : [Rat07]
% 28.21/28.29 % Names : Lemma 4.5.i [vPl95]
% 28.21/28.29
% 28.21/28.29 % Status : Theorem
% 28.21/28.29 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 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 v4.0.0
% 28.21/28.29 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 28.21/28.29 % Number of atoms : 98 ( 0 equ)
% 28.21/28.29 % Maximal formula atoms : 6 ( 2 avg)
% 28.21/28.29 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 28.21/28.29 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 28.21/28.29 % Maximal formula depth : 9 ( 5 avg)
% 28.21/28.29 % Maximal term depth : 2 ( 1 avg)
% 28.21/28.29 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 28.21/28.29 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 28.21/28.29 % Number of variables : 85 ( 85 !; 0 ?)
% 28.21/28.29 % SPC : FOF_THM_RFO_NEQ
% 28.21/28.29
% 28.21/28.29 % Comments :
% 28.21/28.29 %------------------------------------------------------------------------------
% 28.21/28.29 include('Axioms/GEO006+0.ax').
% 28.21/28.29 include('Axioms/GEO006+1.ax').
% 28.21/28.29 include('Axioms/GEO006+2.ax').
% 28.21/28.29 include('Axioms/GEO006+3.ax').
% 28.21/28.29 include('Axioms/GEO006+4.ax').
% 28.21/28.29 include('Axioms/GEO006+5.ax').
% 28.21/28.29 include('Axioms/GEO006+6.ax').
% 28.21/28.29 %------------------------------------------------------------------------------
% 28.21/28.29 fof(con,conjecture,
% 28.21/28.29 ! [X,Y,U,V] :
% 28.21/28.29 ( ( distinct_points(X,Y)
% 28.21/28.29 & convergent_lines(U,V)
% 28.21/28.29 & equal_lines(U,line_connecting(X,Y)) )
% 28.21/28.29 => ( incident_point_and_line(X,U)
% 28.21/28.29 & incident_point_and_line(Y,U) ) ) ).
% 28.21/28.29
% 28.21/28.29 %------------------------------------------------------------------------------
% 28.21/28.29 %-------------------------------------------
% 28.21/28.29 % Proof found
% 28.21/28.29 % SZS status Theorem for theBenchmark
% 28.21/28.29 % SZS output start Proof
% 28.21/28.30 %ClaNum:50(EqnAxiom:0)
% 28.21/28.30 %VarNum:218(SingletonVarNum:98)
% 28.21/28.30 %MaxLitNum:6
% 28.21/28.30 %MaxfuncDepth:1
% 28.21/28.30 %SharedTerms:10
% 28.21/28.30 %goalClause: 1 2 3 18
% 28.21/28.30 %singleGoalClaCount:3
% 28.21/28.30 [1]P1(a1,a2)
% 28.21/28.30 [2]P2(a3,a4)
% 28.21/28.30 [3]P5(a3,f5(a1,a2))
% 28.21/28.30 [4]~P1(x41,x41)
% 28.21/28.30 [5]~P4(x51,x51)
% 28.21/28.30 [6]~P2(x61,x61)
% 28.21/28.30 [7]~P3(x71,f7(x72,x71))
% 28.21/28.30 [8]~P3(x81,f8(x82,x81))
% 28.21/28.30 [9]~P2(f7(x91,x92),x91)
% 28.21/28.30 [10]~P6(f8(x101,x102),x101)
% 28.21/28.30 [18]~P9(a1,a3)+~P9(a2,a3)
% 28.21/28.30 [11]P7(x111,x112)+P1(x111,x112)
% 28.21/28.30 [12]P5(x121,x122)+P4(x121,x122)
% 28.21/28.30 [14]P6(x141,x142)+P2(x141,x142)
% 28.21/28.30 [15]P8(x151,x152)+P2(x151,x152)
% 28.21/28.30 [16]P9(x161,x162)+P3(x161,x162)
% 28.21/28.30 [17]P10(x171,x172)+P6(x171,x172)
% 28.21/28.30 [19]~P4(x191,x192)+P2(x191,x192)
% 28.21/28.30 [22]~P7(x221,x222)+~P1(x221,x222)
% 28.21/28.30 [23]~P5(x231,x232)+~P4(x231,x232)
% 28.21/28.30 [24]~P8(x241,x242)+~P2(x241,x242)
% 28.21/28.30 [25]~P9(x251,x252)+~P3(x251,x252)
% 28.21/28.30 [26]~P10(x261,x262)+~P6(x261,x262)
% 28.21/28.30 [46]~P1(x461,x462)+~P3(x462,f5(x461,x462))
% 28.21/28.30 [47]~P1(x471,x472)+~P3(x471,f5(x471,x472))
% 28.21/28.30 [48]~P2(x481,x482)+~P3(f6(x481,x482),x482)
% 28.21/28.30 [49]~P2(x491,x492)+~P3(f6(x491,x492),x491)
% 28.21/28.30 [20]~P12(x202)+~P11(x201)+P11(f7(x201,x202))
% 28.21/28.30 [21]~P12(x212)+~P11(x211)+P11(f8(x211,x212))
% 28.21/28.30 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 28.21/28.30 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 28.21/28.30 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 28.21/28.30 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 28.21/28.30 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 28.21/28.30 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 28.21/28.30 [33]~P2(x333,x332)+P6(x331,x332)+P6(x331,x333)
% 28.21/28.30 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f6(x351,x352))
% 28.21/28.30 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f5(x361,x362))
% 28.21/28.30 [38]~P2(x381,x383)+~P6(x381,x383)+P2(x381,x382)+P6(x383,x382)
% 28.21/28.30 [39]~P2(x392,x393)+~P6(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 28.21/28.30 [40]~P2(x402,x403)+~P6(x402,x403)+P2(x401,x402)+P6(x401,x403)
% 28.21/28.30 [41]~P2(x413,x411)+~P6(x413,x411)+P2(x411,x412)+P6(x413,x412)
% 28.21/28.30 [42]~P2(x423,x422)+~P6(x423,x422)+P2(x421,x422)+P6(x421,x423)
% 28.21/28.30 [43]~P2(x431,x433)+~P6(x431,x433)+P6(x431,x432)+P6(x433,x432)
% 28.21/28.30 [45]P6(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P6(x452,x454)
% 28.21/28.30 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 28.21/28.30 %EqnAxiom
% 28.21/28.30
% 28.21/28.30 %-------------------------------------------
% 28.21/28.31 cnf(51,plain,
% 28.21/28.31 (~P7(a1,a2)),
% 28.21/28.31 inference(scs_inference,[],[1,22])).
% 28.21/28.31 cnf(53,plain,
% 28.21/28.31 (~P8(a3,a4)),
% 28.21/28.31 inference(scs_inference,[],[1,2,22,24])).
% 28.21/28.31 cnf(67,plain,
% 28.21/28.31 (~P4(f7(x671,x672),x671)),
% 28.21/28.31 inference(scs_inference,[],[1,2,4,5,6,7,9,10,22,24,11,12,14,15,16,17,19])).
% 28.21/28.31 cnf(281,plain,
% 28.21/28.31 (P3(a1,a3)+~P9(a2,a3)),
% 28.21/28.31 inference(scs_inference,[],[18,16])).
% 28.21/28.31 cnf(467,plain,
% 28.21/28.31 (P4(a3,f7(x4671,a1))+~P9(a2,a3)),
% 28.21/28.31 inference(scs_inference,[],[7,281,31])).
% 28.21/28.31 cnf(542,plain,
% 28.21/28.31 (~P3(a2,f5(a1,a2))),
% 28.21/28.31 inference(scs_inference,[],[51,46,11])).
% 28.21/28.31 cnf(621,plain,
% 28.21/28.31 (~P3(f6(a3,a4),a3)),
% 28.21/28.31 inference(scs_inference,[],[53,49,15])).
% 28.21/28.31 cnf(697,plain,
% 28.21/28.31 (~P9(a2,a3)),
% 28.21/28.31 inference(scs_inference,[],[5,67,467,29])).
% 28.21/28.31 cnf(11537,plain,
% 28.21/28.31 ($false),
% 28.21/28.31 inference(scs_inference,[],[697,3,542,621,16,28,31,22,23]),
% 28.21/28.31 ['proof']).
% 28.21/28.32 % SZS output end Proof
% 28.21/28.32 % Total time :27.650000s
%------------------------------------------------------------------------------