%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO221+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 06:04:42 EDT 2024
% Result : Theorem 12.46s 12.55s
% Output : CNFRefutation 12.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO221+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 10:43:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 12.46/12.54 %-------------------------------------------
% 12.46/12.54 % File :CSE---1.7
% 12.46/12.54 % Problem :theBenchmark
% 12.46/12.54 % Transform :cnf
% 12.46/12.54 % Format :tptp:raw
% 12.46/12.54 % Command :java -jar mcs_scs.jar %d %s
% 12.46/12.54
% 12.46/12.54 % Result :Theorem 11.920000s
% 12.46/12.54 % Output :CNFRefutation 11.920000s
% 12.46/12.54 %-------------------------------------------
% 12.46/12.55 %------------------------------------------------------------------------------
% 12.46/12.55 % File : GEO221+3 : TPTP v8.2.0. Released v4.0.0.
% 12.46/12.55 % Domain : Geometry (Constructive)
% 12.46/12.55 % Problem : Lemma on orthogonality
% 12.46/12.55 % Version : [vPl95] axioms.
% 12.46/12.55 % English : If a point B is incident with the orthogonal to a line L
% 12.46/12.55 % through point A, then this orthogonal is equal to the
% 12.46/12.55 % orthogonal to L through B.
% 12.46/12.55
% 12.46/12.55 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 12.46/12.55 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 12.46/12.55 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 12.46/12.55 % Source : [Rat07]
% 12.46/12.55 % Names : Lemma 8.8 [vPl95]
% 12.46/12.55
% 12.46/12.55 % Status : Theorem
% 12.46/12.55 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0
% 12.46/12.55 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 12.46/12.55 % Number of atoms : 95 ( 0 equ)
% 12.46/12.55 % Maximal formula atoms : 6 ( 2 avg)
% 12.46/12.55 % Number of connectives : 87 ( 28 ~; 19 |; 13 &)
% 12.46/12.55 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 12.46/12.55 % Maximal formula depth : 9 ( 5 avg)
% 12.46/12.55 % Maximal term depth : 2 ( 1 avg)
% 12.46/12.55 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 12.46/12.55 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 12.46/12.55 % Number of variables : 84 ( 84 !; 0 ?)
% 12.46/12.55 % SPC : FOF_THM_RFO_NEQ
% 12.46/12.55
% 12.46/12.55 % Comments :
% 12.46/12.55 %------------------------------------------------------------------------------
% 12.46/12.55 include('Axioms/GEO006+0.ax').
% 12.46/12.55 include('Axioms/GEO006+1.ax').
% 12.46/12.55 include('Axioms/GEO006+2.ax').
% 12.46/12.55 include('Axioms/GEO006+3.ax').
% 12.46/12.55 include('Axioms/GEO006+4.ax').
% 12.46/12.55 include('Axioms/GEO006+5.ax').
% 12.46/12.55 include('Axioms/GEO006+6.ax').
% 12.46/12.55 %------------------------------------------------------------------------------
% 12.46/12.55 fof(con,conjecture,
% 12.46/12.55 ! [A,B,L] :
% 12.46/12.55 ( incident_point_and_line(B,orthogonal_through_point(L,A))
% 12.46/12.55 => equal_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)) ) ).
% 12.46/12.55
% 12.46/12.55 %------------------------------------------------------------------------------
% 12.46/12.55 %-------------------------------------------
% 12.46/12.55 % Proof found
% 12.46/12.55 % SZS status Theorem for theBenchmark
% 12.46/12.55 % SZS output start Proof
% 12.46/12.55 %ClaNum:48(EqnAxiom:0)
% 12.46/12.55 %VarNum:218(SingletonVarNum:98)
% 12.46/12.55 %MaxLitNum:6
% 12.46/12.55 %MaxfuncDepth:1
% 12.46/12.55 %SharedTerms:7
% 12.46/12.55 %goalClause: 1 9
% 12.46/12.55 %singleGoalClaCount:2
% 12.46/12.55 [1]P1(a1,f4(a3,a2))
% 12.46/12.55 [9]~P6(f4(a3,a2),f4(a3,a1))
% 12.46/12.55 [2]~P2(x21,x21)
% 12.46/12.55 [3]~P3(x31,x31)
% 12.46/12.55 [4]~P4(x41,x41)
% 12.46/12.55 [5]~P5(x51,f7(x52,x51))
% 12.46/12.55 [6]~P5(x61,f4(x62,x61))
% 12.46/12.55 [7]~P4(f7(x71,x72),x71)
% 12.46/12.55 [8]~P8(f4(x81,x82),x81)
% 12.46/12.55 [10]P7(x101,x102)+P2(x101,x102)
% 12.46/12.55 [11]P6(x111,x112)+P3(x111,x112)
% 12.46/12.55 [13]P8(x131,x132)+P4(x131,x132)
% 12.46/12.55 [14]P9(x141,x142)+P4(x141,x142)
% 12.46/12.55 [15]P1(x151,x152)+P5(x151,x152)
% 12.46/12.55 [16]P10(x161,x162)+P8(x161,x162)
% 12.46/12.55 [17]~P3(x171,x172)+P4(x171,x172)
% 12.46/12.55 [20]~P7(x201,x202)+~P2(x201,x202)
% 12.46/12.55 [21]~P6(x211,x212)+~P3(x211,x212)
% 12.46/12.55 [22]~P9(x221,x222)+~P4(x221,x222)
% 12.46/12.55 [23]~P1(x231,x232)+~P5(x231,x232)
% 12.46/12.55 [24]~P10(x241,x242)+~P8(x241,x242)
% 12.46/12.55 [44]~P2(x441,x442)+~P5(x442,f6(x441,x442))
% 12.46/12.55 [45]~P2(x451,x452)+~P5(x451,f6(x451,x452))
% 12.46/12.55 [46]~P4(x461,x462)+~P5(f5(x461,x462),x462)
% 12.46/12.55 [47]~P4(x471,x472)+~P5(f5(x471,x472),x471)
% 12.46/12.55 [18]~P12(x182)+~P11(x181)+P11(f7(x181,x182))
% 12.46/12.55 [19]~P12(x192)+~P11(x191)+P11(f4(x191,x192))
% 12.46/12.55 [25]~P2(x253,x251)+P2(x251,x252)+P2(x253,x252)
% 12.46/12.55 [26]~P5(x261,x263)+P2(x261,x262)+P5(x262,x263)
% 12.46/12.55 [27]~P3(x273,x271)+P3(x271,x272)+P3(x273,x272)
% 12.46/12.55 [28]~P4(x283,x281)+P3(x281,x282)+P4(x283,x282)
% 12.46/12.55 [29]~P5(x293,x291)+P3(x291,x292)+P5(x293,x292)
% 12.46/12.55 [30]~P4(x303,x301)+P4(x301,x302)+P4(x303,x302)
% 12.46/12.55 [31]~P4(x313,x312)+P8(x311,x312)+P8(x311,x313)
% 12.46/12.55 [33]~P11(x332)+~P11(x331)+~P4(x331,x332)+P12(f5(x331,x332))
% 12.46/12.55 [34]~P12(x342)+~P12(x341)+~P2(x341,x342)+P11(f6(x341,x342))
% 12.46/12.55 [36]~P4(x361,x363)+~P8(x361,x363)+P4(x361,x362)+P8(x363,x362)
% 12.46/12.55 [37]~P4(x372,x373)+~P8(x372,x373)+P4(x371,x372)+P4(x371,x373)
% 12.46/12.55 [38]~P4(x382,x383)+~P8(x382,x383)+P4(x381,x382)+P8(x381,x383)
% 12.46/12.55 [39]~P4(x393,x391)+~P8(x393,x391)+P4(x391,x392)+P8(x393,x392)
% 12.46/12.55 [40]~P4(x403,x402)+~P8(x403,x402)+P4(x401,x402)+P8(x401,x403)
% 12.46/12.55 [41]~P4(x411,x413)+~P8(x411,x413)+P8(x411,x412)+P8(x413,x412)
% 12.46/12.55 [43]P8(x433,x434)+~P3(x433,x432)+P5(x431,x432)+P5(x431,x433)+P8(x432,x434)
% 12.46/12.55 [48]P5(x484,x483)+~P2(x484,x481)+~P3(x483,x482)+P5(x481,x482)+P5(x481,x483)+P5(x484,x482)
% 12.46/12.55 %EqnAxiom
% 12.46/12.55
% 12.46/12.55 %-------------------------------------------
% 12.46/12.56 cnf(61,plain,
% 12.46/12.56 (P10(f4(x611,x612),x611)),
% 12.46/12.56 inference(scs_inference,[],[3,5,2,8,4,7,11,15,17,10,13,14,16])).
% 12.46/12.56 cnf(94,plain,
% 12.46/12.56 (~P5(a1,f4(a3,a2))),
% 12.46/12.56 inference(scs_inference,[],[1,2,23,26])).
% 12.46/12.56 cnf(6350,plain,
% 12.46/12.56 (P3(f4(a3,a1),f4(a3,a2))),
% 12.46/12.56 inference(scs_inference,[],[9,3,11,27])).
% 12.46/12.56 cnf(6360,plain,
% 12.46/12.56 ($false),
% 12.46/12.56 inference(scs_inference,[],[94,3,6350,6,8,61,21,27,43,24]),
% 12.46/12.56 ['proof']).
% 12.46/12.56 % SZS output end Proof
% 12.46/12.56 % Total time :11.920000s
%------------------------------------------------------------------------------