%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO185+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 : 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 : Mon Jun 24 06:04:18 EDT 2024
% Result : Theorem 25.06s 25.18s
% Output : CNFRefutation 25.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO185+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.30 % Computer : n026.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri Jun 21 10:28:09 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.16/0.53 start to proof:theBenchmark
% 25.06/25.17 %-------------------------------------------
% 25.06/25.17 % File :CSE---1.7
% 25.06/25.17 % Problem :theBenchmark
% 25.06/25.17 % Transform :cnf
% 25.06/25.17 % Format :tptp:raw
% 25.06/25.17 % Command :java -jar mcs_scs.jar %d %s
% 25.06/25.17
% 25.06/25.17 % Result :Theorem 24.590000s
% 25.06/25.17 % Output :CNFRefutation 24.590000s
% 25.06/25.17 %-------------------------------------------
% 25.06/25.17 %------------------------------------------------------------------------------
% 25.06/25.17 % File : GEO185+3 : TPTP v8.2.0. Released v4.0.0.
% 25.06/25.17 % Domain : Geometry (Constructive)
% 25.06/25.17 % Problem : Lemma on symmetry and apartness
% 25.06/25.17 % Version : [vPl95] axioms.
% 25.06/25.17 % English : If the lines U and V are convergent, then the point that is
% 25.06/25.17 % equal to the intersection point is incident to both lines.
% 25.06/25.17
% 25.06/25.17 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 25.06/25.17 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 25.06/25.18 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 25.06/25.18 % Source : [Rat07]
% 25.06/25.18 % Names : Lemma 4.5.ii [vPl95]
% 25.06/25.18
% 25.06/25.18 % Status : Theorem
% 25.06/25.18 % 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
% 25.06/25.18 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 25.06/25.18 % Number of atoms : 98 ( 0 equ)
% 25.06/25.18 % Maximal formula atoms : 6 ( 2 avg)
% 25.06/25.18 % Number of connectives : 90 ( 28 ~; 19 |; 16 &)
% 25.06/25.18 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 25.06/25.18 % Maximal formula depth : 9 ( 5 avg)
% 25.06/25.18 % Maximal term depth : 2 ( 1 avg)
% 25.06/25.18 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 25.06/25.18 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 25.06/25.18 % Number of variables : 85 ( 85 !; 0 ?)
% 25.06/25.18 % SPC : FOF_THM_RFO_NEQ
% 25.06/25.18
% 25.06/25.18 % Comments :
% 25.06/25.18 %------------------------------------------------------------------------------
% 25.06/25.18 include('Axioms/GEO006+0.ax').
% 25.06/25.18 include('Axioms/GEO006+1.ax').
% 25.06/25.18 include('Axioms/GEO006+2.ax').
% 25.06/25.18 include('Axioms/GEO006+3.ax').
% 25.06/25.18 include('Axioms/GEO006+4.ax').
% 25.06/25.18 include('Axioms/GEO006+5.ax').
% 25.06/25.18 include('Axioms/GEO006+6.ax').
% 25.06/25.18 %------------------------------------------------------------------------------
% 25.06/25.18 fof(con,conjecture,
% 25.06/25.18 ! [X,Y,U,V] :
% 25.06/25.18 ( ( distinct_points(X,Y)
% 25.06/25.18 & convergent_lines(U,V)
% 25.06/25.18 & equal_points(X,intersection_point(U,V)) )
% 25.06/25.18 => ( incident_point_and_line(X,U)
% 25.06/25.18 & incident_point_and_line(X,V) ) ) ).
% 25.06/25.18
% 25.06/25.18 %------------------------------------------------------------------------------
% 25.06/25.18 %-------------------------------------------
% 25.06/25.18 % Proof found
% 25.06/25.18 % SZS status Theorem for theBenchmark
% 25.06/25.18 % SZS output start Proof
% 25.06/25.18 %ClaNum:50(EqnAxiom:0)
% 25.06/25.18 %VarNum:218(SingletonVarNum:98)
% 25.06/25.18 %MaxLitNum:6
% 25.06/25.18 %MaxfuncDepth:1
% 25.06/25.18 %SharedTerms:10
% 25.06/25.18 %goalClause: 1 2 3 18
% 25.06/25.18 %singleGoalClaCount:3
% 25.06/25.18 [1]P1(a1,a2)
% 25.06/25.18 [2]P2(a3,a4)
% 25.06/25.18 [3]P5(a1,f5(a3,a4))
% 25.06/25.18 [4]~P1(x41,x41)
% 25.06/25.18 [5]~P4(x51,x51)
% 25.06/25.18 [6]~P2(x61,x61)
% 25.06/25.18 [7]~P3(x71,f6(x72,x71))
% 25.06/25.18 [8]~P3(x81,f7(x82,x81))
% 25.06/25.18 [9]~P2(f6(x91,x92),x91)
% 25.06/25.18 [10]~P7(f7(x101,x102),x101)
% 25.06/25.18 [18]~P9(a1,a3)+~P9(a1,a4)
% 25.06/25.18 [11]P5(x111,x112)+P1(x111,x112)
% 25.06/25.18 [12]P6(x121,x122)+P4(x121,x122)
% 25.06/25.18 [14]P7(x141,x142)+P2(x141,x142)
% 25.06/25.18 [15]P8(x151,x152)+P2(x151,x152)
% 25.06/25.18 [16]P9(x161,x162)+P3(x161,x162)
% 25.06/25.18 [17]P10(x171,x172)+P7(x171,x172)
% 25.06/25.18 [19]~P4(x191,x192)+P2(x191,x192)
% 25.06/25.18 [22]~P5(x221,x222)+~P1(x221,x222)
% 25.06/25.18 [23]~P6(x231,x232)+~P4(x231,x232)
% 25.06/25.18 [24]~P8(x241,x242)+~P2(x241,x242)
% 25.06/25.18 [25]~P9(x251,x252)+~P3(x251,x252)
% 25.06/25.18 [26]~P10(x261,x262)+~P7(x261,x262)
% 25.06/25.18 [46]~P1(x461,x462)+~P3(x462,f8(x461,x462))
% 25.06/25.18 [47]~P1(x471,x472)+~P3(x471,f8(x471,x472))
% 25.06/25.18 [48]~P2(x481,x482)+~P3(f5(x481,x482),x482)
% 25.06/25.18 [49]~P2(x491,x492)+~P3(f5(x491,x492),x491)
% 25.06/25.18 [20]~P12(x202)+~P11(x201)+P11(f6(x201,x202))
% 25.06/25.18 [21]~P12(x212)+~P11(x211)+P11(f7(x211,x212))
% 25.06/25.18 [27]~P1(x273,x271)+P1(x271,x272)+P1(x273,x272)
% 25.06/25.18 [28]~P3(x281,x283)+P1(x281,x282)+P3(x282,x283)
% 25.06/25.18 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 25.06/25.18 [30]~P2(x303,x301)+P4(x301,x302)+P2(x303,x302)
% 25.06/25.18 [31]~P3(x313,x311)+P4(x311,x312)+P3(x313,x312)
% 25.06/25.18 [32]~P2(x323,x321)+P2(x321,x322)+P2(x323,x322)
% 25.06/25.18 [33]~P2(x333,x332)+P7(x331,x332)+P7(x331,x333)
% 25.06/25.18 [35]~P11(x352)+~P11(x351)+~P2(x351,x352)+P12(f5(x351,x352))
% 25.06/25.18 [36]~P12(x362)+~P12(x361)+~P1(x361,x362)+P11(f8(x361,x362))
% 25.06/25.18 [38]~P2(x381,x383)+~P7(x381,x383)+P2(x381,x382)+P7(x383,x382)
% 25.06/25.18 [39]~P2(x392,x393)+~P7(x392,x393)+P2(x391,x392)+P2(x391,x393)
% 25.06/25.18 [40]~P2(x402,x403)+~P7(x402,x403)+P2(x401,x402)+P7(x401,x403)
% 25.06/25.18 [41]~P2(x413,x411)+~P7(x413,x411)+P2(x411,x412)+P7(x413,x412)
% 25.06/25.18 [42]~P2(x423,x422)+~P7(x423,x422)+P2(x421,x422)+P7(x421,x423)
% 25.06/25.18 [43]~P2(x431,x433)+~P7(x431,x433)+P7(x431,x432)+P7(x433,x432)
% 25.06/25.18 [45]P7(x453,x454)+~P4(x453,x452)+P3(x451,x452)+P3(x451,x453)+P7(x452,x454)
% 25.06/25.18 [50]P3(x504,x503)+~P1(x504,x501)+~P4(x503,x502)+P3(x501,x502)+P3(x501,x503)+P3(x504,x502)
% 25.06/25.18 %EqnAxiom
% 25.06/25.18
% 25.06/25.18 %-------------------------------------------
% 25.17/25.20 cnf(67,plain,
% 25.17/25.20 (~P4(f6(x671,x672),x671)),
% 25.17/25.20 inference(scs_inference,[],[1,2,4,5,6,7,9,10,22,24,11,12,14,15,16,17,19])).
% 25.17/25.20 cnf(238,plain,
% 25.17/25.20 (P3(a1,a3)+~P9(a1,a4)),
% 25.17/25.20 inference(scs_inference,[],[18,16])).
% 25.17/25.20 cnf(389,plain,
% 25.17/25.20 (P4(a3,f6(x3891,a1))+~P9(a1,a4)),
% 25.17/25.20 inference(scs_inference,[],[7,238,31])).
% 25.17/25.20 cnf(639,plain,
% 25.17/25.20 (~P3(f5(f7(x6391,x6392),x6391),x6391)),
% 25.17/25.20 inference(scs_inference,[],[10,48,14])).
% 25.17/25.20 cnf(892,plain,
% 25.17/25.20 (~P9(a1,a4)),
% 25.17/25.20 inference(scs_inference,[],[5,67,389,29])).
% 25.17/25.20 cnf(5426,plain,
% 25.17/25.20 (~P2(x54261,f6(x54261,x54262))),
% 25.17/25.20 inference(scs_inference,[],[67,639,6,31,30])).
% 25.17/25.20 cnf(5456,plain,
% 25.17/25.20 (~P4(x54561,f6(x54561,x54562))),
% 25.17/25.20 inference(scs_inference,[],[5426,19])).
% 25.17/25.20 cnf(8954,plain,
% 25.17/25.20 (P3(a1,a4)),
% 25.17/25.20 inference(scs_inference,[],[892,16])).
% 25.17/25.20 cnf(8993,plain,
% 25.17/25.20 ($false),
% 25.17/25.20 inference(scs_inference,[],[7,5456,8954,31]),
% 25.17/25.20 ['proof']).
% 25.17/25.21 % SZS output end Proof
% 25.17/25.21 % Total time :24.590000s
%------------------------------------------------------------------------------