%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO210+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 06:04:34 EDT 2024
% Result : Theorem 0.55s 0.64s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO210+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n025.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
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 08:19:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.52/0.59 start to proof:theBenchmark
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % File :CSE---1.7
% 0.55/0.63 % Problem :theBenchmark
% 0.55/0.63 % Transform :cnf
% 0.55/0.63 % Format :tptp:raw
% 0.55/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.63
% 0.55/0.63 % Result :Theorem 0.000000s
% 0.55/0.63 % Output :CNFRefutation 0.000000s
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 %------------------------------------------------------------------------------
% 0.55/0.63 % File : GEO210+2 : TPTP v8.2.0. Released v3.3.0.
% 0.55/0.63 % Domain : Geometry (Constructive)
% 0.55/0.63 % Problem : Uniqueness of orthogonality
% 0.55/0.63 % Version : [vPl95] axioms : Reduced > Especial.
% 0.55/0.63 % English : If the point A is incident with line L, and the line L is
% 0.55/0.63 % orthogonal to M, then L is equal to the orthogonal to M
% 0.55/0.63 % through A.
% 0.55/0.63
% 0.55/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.55/0.63 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.55/0.63 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.55/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.55/0.63 % Source : [ILTP]
% 0.55/0.63 % Names :
% 0.55/0.63
% 0.55/0.63 % Status : Theorem
% 0.55/0.63 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.17 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0, 0.10 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.55/0.63 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 0.55/0.63 % Number of atoms : 58 ( 0 equ)
% 0.55/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.55/0.63 % Number of connectives : 47 ( 10 ~; 16 |; 6 &)
% 0.55/0.63 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.55/0.63 % Maximal formula depth : 9 ( 6 avg)
% 0.55/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.63 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.55/0.63 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.55/0.64 % Number of variables : 53 ( 53 !; 0 ?)
% 0.55/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.55/0.64
% 0.55/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.55/0.64 %------------------------------------------------------------------------------
% 0.55/0.64 include('Axioms/GEO008+0.ax').
% 0.55/0.64 include('Axioms/GEO006+2.ax').
% 0.55/0.64 include('Axioms/GEO006+3.ax').
% 0.55/0.64 %------------------------------------------------------------------------------
% 0.55/0.64 fof(con,conjecture,
% 0.55/0.64 ! [A,L,M] :
% 0.55/0.64 ( ( ~ apart_point_and_line(A,L)
% 0.55/0.64 & ~ unorthogonal_lines(L,M) )
% 0.55/0.64 => ~ distinct_lines(L,orthogonal_through_point(M,A)) ) ).
% 0.55/0.64
% 0.55/0.64 %------------------------------------------------------------------------------
% 0.55/0.64 %-------------------------------------------
% 0.55/0.64 % Proof found
% 0.55/0.64 % SZS status Theorem for theBenchmark
% 0.55/0.64 % SZS output start Proof
% 0.55/0.64 %ClaNum:28(EqnAxiom:0)
% 0.55/0.64 %VarNum:138(SingletonVarNum:62)
% 0.55/0.64 %MaxLitNum:6
% 0.55/0.64 %MaxfuncDepth:1
% 0.55/0.64 %SharedTerms:7
% 0.55/0.64 %goalClause: 1 2 3
% 0.55/0.64 %singleGoalClaCount:3
% 0.55/0.64 [2]~P2(a2,a1)
% 0.55/0.64 [3]~P4(a1,a3)
% 0.55/0.64 [1]P1(a1,f4(a3,a2))
% 0.55/0.64 [4]~P5(x41,x41)
% 0.55/0.64 [5]~P1(x51,x51)
% 0.55/0.64 [6]~P3(x61,x61)
% 0.55/0.64 [7]~P2(x71,f7(x72,x71))
% 0.55/0.64 [8]~P2(x81,f4(x82,x81))
% 0.55/0.64 [9]~P3(f7(x91,x92),x91)
% 0.55/0.64 [10]~P4(f4(x101,x102),x101)
% 0.55/0.64 [11]P4(x111,x112)+P3(x111,x112)
% 0.55/0.64 [12]~P3(x121,x122)+P1(x121,x122)
% 0.55/0.64 [13]~P5(x133,x131)+P5(x131,x132)+P5(x133,x132)
% 0.55/0.64 [14]~P2(x141,x143)+P5(x141,x142)+P2(x142,x143)
% 0.55/0.64 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 0.55/0.64 [16]~P2(x163,x161)+P1(x161,x162)+P2(x163,x162)
% 0.55/0.64 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 0.55/0.64 [24]~P3(x242,x243)+~P2(x241,x243)+P5(x241,f5(x242,x243))
% 0.55/0.64 [25]~P3(x252,x253)+~P2(x251,x252)+P5(x251,f5(x252,x253))
% 0.55/0.64 [26]P5(x261,x262)+~P5(x263,x262)+~P2(x261,f6(x263,x262))
% 0.55/0.64 [27]P5(x271,x272)+~P5(x272,x273)+~P2(x271,f6(x272,x273))
% 0.55/0.64 [18]P2(x183,x181)+~P1(x181,x182)+P3(x181,x182)+P2(x183,x182)
% 0.55/0.64 [20]~P3(x201,x203)+~P4(x201,x203)+P3(x201,x202)+P4(x203,x202)
% 0.55/0.64 [21]~P3(x213,x211)+~P4(x213,x211)+P3(x211,x212)+P4(x213,x212)
% 0.55/0.64 [22]~P3(x221,x223)+~P4(x221,x223)+P4(x221,x222)+P4(x223,x222)
% 0.55/0.64 [23]P4(x233,x234)+~P1(x233,x232)+P2(x231,x232)+P2(x231,x233)+P4(x232,x234)
% 0.55/0.64 [28]P2(x284,x283)+~P5(x284,x281)+~P1(x283,x282)+P2(x281,x282)+P2(x281,x283)+P2(x284,x282)
% 0.55/0.64 %EqnAxiom
% 0.55/0.64
% 0.55/0.64 %-------------------------------------------
% 0.55/0.64 cnf(29,plain,
% 0.55/0.64 ($false),
% 0.55/0.64 inference(scs_inference,[],[3,1,8,2,10,23]),
% 0.55/0.64 ['proof']).
% 0.55/0.64 % SZS output end Proof
% 0.55/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------