%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO176+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 : n020.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 06:04:12 EDT 2024
% Result : Theorem 20.24s 20.36s
% Output : CNFRefutation 20.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO176+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 07:17:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.52 start to proof:theBenchmark
% 20.24/20.35 %-------------------------------------------
% 20.24/20.35 % File :CSE---1.7
% 20.24/20.35 % Problem :theBenchmark
% 20.24/20.35 % Transform :cnf
% 20.24/20.35 % Format :tptp:raw
% 20.24/20.35 % Command :java -jar mcs_scs.jar %d %s
% 20.24/20.35
% 20.24/20.35 % Result :Theorem 19.770000s
% 20.24/20.35 % Output :CNFRefutation 19.770000s
% 20.24/20.35 %-------------------------------------------
% 20.24/20.36 %------------------------------------------------------------------------------
% 20.24/20.36 % File : GEO176+3 : TPTP v8.2.0. Released v4.0.0.
% 20.24/20.36 % Domain : Geometry (Constructive)
% 20.24/20.36 % Problem : Lemma on symmetry and apartness
% 20.24/20.36 % Version : [vPl95] axioms.
% 20.24/20.36 % English : If two lines are convergent and a point is apart from at least
% 20.24/20.36 % one of these lines, then this point is distinct from the
% 20.24/20.36 % intersection point of these lines.
% 20.24/20.36
% 20.24/20.36 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 20.24/20.36 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 20.24/20.36 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 20.24/20.36 % Source : [Rat07]
% 20.24/20.36 % Names : Lemma 4.1.ii [vPl95]
% 20.24/20.36
% 20.24/20.36 % Status : Theorem
% 20.24/20.36 % Rating : 0.00 v6.1.0, 0.08 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
% 20.24/20.36 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 20.24/20.36 % Number of atoms : 98 ( 0 equ)
% 20.24/20.36 % Maximal formula atoms : 6 ( 2 avg)
% 20.24/20.36 % Number of connectives : 90 ( 28 ~; 20 |; 15 &)
% 20.24/20.36 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 20.24/20.36 % Maximal formula depth : 9 ( 6 avg)
% 20.24/20.36 % Maximal term depth : 2 ( 1 avg)
% 20.24/20.36 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 20.24/20.36 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 20.24/20.36 % Number of variables : 85 ( 85 !; 0 ?)
% 20.24/20.36 % SPC : FOF_THM_RFO_NEQ
% 20.24/20.36
% 20.24/20.36 % Comments :
% 20.24/20.36 %------------------------------------------------------------------------------
% 20.24/20.36 include('Axioms/GEO006+0.ax').
% 20.24/20.36 include('Axioms/GEO006+1.ax').
% 20.24/20.36 include('Axioms/GEO006+2.ax').
% 20.24/20.36 include('Axioms/GEO006+3.ax').
% 20.24/20.36 include('Axioms/GEO006+4.ax').
% 20.24/20.36 include('Axioms/GEO006+5.ax').
% 20.24/20.36 include('Axioms/GEO006+6.ax').
% 20.24/20.36 %------------------------------------------------------------------------------
% 20.24/20.36 fof(con,conjecture,
% 20.24/20.36 ! [X,Y,U,V] :
% 20.24/20.36 ( ( distinct_points(X,Y)
% 20.24/20.36 & convergent_lines(U,V)
% 20.24/20.36 & ( apart_point_and_line(X,U)
% 20.24/20.36 | apart_point_and_line(X,V) ) )
% 20.24/20.36 => distinct_points(X,intersection_point(U,V)) ) ).
% 20.24/20.36
% 20.24/20.36 %------------------------------------------------------------------------------
% 20.24/20.36 %-------------------------------------------
% 20.24/20.36 % Proof found
% 20.24/20.36 % SZS status Theorem for theBenchmark
% 20.24/20.36 % SZS output start Proof
% 20.24/20.36 %ClaNum:50(EqnAxiom:0)
% 20.24/20.36 %VarNum:218(SingletonVarNum:98)
% 20.24/20.36 %MaxLitNum:6
% 20.24/20.36 %MaxfuncDepth:1
% 20.24/20.36 %SharedTerms:10
% 20.24/20.36 %goalClause: 1 2 6 11
% 20.24/20.36 %singleGoalClaCount:3
% 20.24/20.36 [1]P1(a1,a2)
% 20.24/20.36 [2]P2(a3,a4)
% 20.24/20.36 [6]~P1(a1,f5(a3,a4))
% 20.24/20.36 [3]~P1(x31,x31)
% 20.24/20.36 [4]~P4(x41,x41)
% 20.24/20.36 [5]~P2(x51,x51)
% 20.24/20.36 [7]~P3(x71,f6(x72,x71))
% 20.24/20.36 [8]~P3(x81,f7(x82,x81))
% 20.24/20.36 [9]~P2(f6(x91,x92),x91)
% 20.24/20.36 [10]~P5(f7(x101,x102),x101)
% 20.24/20.36 [11]P3(a1,a3)+P3(a1,a4)
% 20.24/20.36 [12]P6(x121,x122)+P1(x121,x122)
% 20.24/20.36 [13]P7(x131,x132)+P4(x131,x132)
% 20.24/20.36 [15]P5(x151,x152)+P2(x151,x152)
% 20.24/20.36 [16]P8(x161,x162)+P2(x161,x162)
% 20.24/20.36 [17]P9(x171,x172)+P3(x171,x172)
% 20.24/20.36 [18]P10(x181,x182)+P5(x181,x182)
% 20.24/20.36 [19]~P4(x191,x192)+P2(x191,x192)
% 20.24/20.36 [22]~P6(x221,x222)+~P1(x221,x222)
% 20.24/20.36 [23]~P7(x231,x232)+~P4(x231,x232)
% 20.24/20.36 [24]~P8(x241,x242)+~P2(x241,x242)
% 20.24/20.36 [25]~P9(x251,x252)+~P3(x251,x252)
% 20.24/20.36 [26]~P10(x261,x262)+~P5(x261,x262)
% 20.24/20.36 [46]~P1(x461,x462)+~P3(x462,f8(x461,x462))
% 20.24/20.36 [47]~P1(x471,x472)+~P3(x471,f8(x471,x472))
% 20.24/20.36 [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 20.24/20.36 [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 20.24/20.36 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 20.24/20.36 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 20.24/20.36 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 20.24/20.36 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 20.24/20.36 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 20.24/20.36 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 20.24/20.36 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 20.24/20.36 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 20.24/20.36 [33]~P2(x333,x332)+P5(x331,x332)+P5(x331,x333)
% 20.24/20.36 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 20.24/20.36 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f8(x361,x362))
% 20.24/20.36 [38]~P2(x381,x383)+~P5(x381,x383)+P2(x381,x382)+P5(x383,x382)
% 20.24/20.36 [39]~P2(x392,x393)+~P5(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 20.24/20.36 [40]~P2(x402,x403)+~P5(x402,x403)+P2(x401,x402)+P5(x401,x403)
% 20.24/20.36 [41]~P2(x413,x411)+~P5(x413,x411)+P2(x411,x412)+P5(x413,x412)
% 20.24/20.36 [42]~P2(x423,x422)+~P5(x423,x422)+P2(x421,x422)+P5(x421,x423)
% 20.24/20.36 [43]~P2(x431,x433)+~P5(x431,x433)+P5(x431,x432)+P5(x433,x432)
% 20.24/20.36 [45]P5(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P5(x452,x454)
% 20.24/20.36 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 20.24/20.36 %EqnAxiom
% 20.24/20.36
% 20.24/20.36 %-------------------------------------------
% 20.24/20.37 cnf(51,plain,
% 20.24/20.37 (~P6(a1,a2)),
% 20.24/20.37 inference(scs_inference,[],[1,22])).
% 20.24/20.37 cnf(53,plain,
% 20.24/20.37 (~P8(a3,a4)),
% 20.24/20.37 inference(scs_inference,[],[1,2,22,24])).
% 20.24/20.37 cnf(67,plain,
% 20.24/20.37 (~P4(f6(x671,x672),x671)),
% 20.24/20.37 inference(scs_inference,[],[1,2,6,4,5,7,9,10,22,24,12,13,15,16,17,18,19])).
% 20.24/20.37 cnf(74,plain,
% 20.24/20.37 (~P2(x741,x741)),
% 20.24/20.37 inference(rename_variables,[],[5])).
% 20.24/20.37 cnf(82,plain,
% 20.24/20.37 (~P3(a1,f6(x821,f5(a3,a4)))),
% 20.24/20.37 inference(scs_inference,[],[1,2,6,4,5,74,7,9,10,22,24,12,13,15,16,17,18,19,26,27,30,32,33,28])).
% 20.24/20.37 cnf(289,plain,
% 20.24/20.37 (~P9(a1,a3)+P3(a1,a4)),
% 20.24/20.37 inference(scs_inference,[],[11,25])).
% 20.24/20.37 cnf(593,plain,
% 20.24/20.37 (~P3(a2,f8(a1,a2))),
% 20.24/20.37 inference(scs_inference,[],[51,46,12])).
% 20.24/20.37 cnf(876,plain,
% 20.24/20.37 (~P3(f5(a3,a4),a3)),
% 20.24/20.37 inference(scs_inference,[],[53,49,16])).
% 20.24/20.37 cnf(880,plain,
% 20.24/20.37 (~P3(a1,a3)),
% 20.24/20.37 inference(scs_inference,[],[6,876,17,28])).
% 20.24/20.37 cnf(898,plain,
% 20.24/20.37 (P9(a1,a3)),
% 20.24/20.37 inference(scs_inference,[],[880,17])).
% 20.24/20.37 cnf(914,plain,
% 20.24/20.37 (P3(a1,a4)),
% 20.24/20.37 inference(scs_inference,[],[898,289])).
% 20.24/20.37 cnf(932,plain,
% 20.24/20.37 (P4(a4,f6(x9321,f5(a3,a4)))),
% 20.24/20.37 inference(scs_inference,[],[914,82,31])).
% 20.24/20.37 cnf(6054,plain,
% 20.24/20.37 (~P4(f6(x60541,x60542),x60541)),
% 20.24/20.37 inference(rename_variables,[],[67])).
% 20.24/20.37 cnf(6065,plain,
% 20.24/20.37 ($false),
% 20.24/20.37 inference(scs_inference,[],[67,6054,593,5,932,31,30,15,17,26,19]),
% 20.24/20.37 ['proof']).
% 20.24/20.38 % SZS output end Proof
% 20.24/20.38 % Total time :19.770000s
%------------------------------------------------------------------------------