%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO214+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 : n029.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 06:04:37 EDT 2024
% Result : Theorem 0.16s 0.54s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO214+2 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.31 % Computer : n029.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Jun 21 06:32:39 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.16/0.48 start to proof:theBenchmark
% 0.16/0.53 %-------------------------------------------
% 0.16/0.53 % File :CSE---1.7
% 0.16/0.53 % Problem :theBenchmark
% 0.16/0.53 % Transform :cnf
% 0.16/0.53 % Format :tptp:raw
% 0.16/0.53 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.53
% 0.16/0.53 % Result :Theorem 0.010000s
% 0.16/0.53 % Output :CNFRefutation 0.010000s
% 0.16/0.53 %-------------------------------------------
% 0.16/0.53 %------------------------------------------------------------------------------
% 0.16/0.53 % File : GEO214+2 : TPTP v8.2.0. Released v3.3.0.
% 0.16/0.53 % Domain : Geometry (Constructive)
% 0.16/0.53 % Problem : Corollary to non-orthogonal lines and a third line
% 0.16/0.53 % Version : [vPl95] axioms : Reduced > Especial.
% 0.16/0.53 % English : If the line L is not orthogonal to M, then M is orthogonal to
% 0.16/0.53 % L.
% 0.16/0.53
% 0.16/0.53 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.16/0.53 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.16/0.53 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.16/0.53 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.16/0.53 % Source : [ILTP]
% 0.16/0.53 % Names :
% 0.16/0.53
% 0.16/0.53 % Status : Theorem
% 0.16/0.53 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 0.16/0.53 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 0.16/0.53 % Number of atoms : 57 ( 0 equ)
% 0.16/0.53 % Maximal formula atoms : 6 ( 2 avg)
% 0.16/0.53 % Number of connectives : 43 ( 7 ~; 16 |; 5 &)
% 0.16/0.53 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.16/0.53 % Maximal formula depth : 9 ( 5 avg)
% 0.16/0.54 % Maximal term depth : 2 ( 1 avg)
% 0.16/0.54 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.16/0.54 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.16/0.54 % Number of variables : 52 ( 52 !; 0 ?)
% 0.16/0.54 % SPC : FOF_THM_RFO_NEQ
% 0.16/0.54
% 0.16/0.54 % Comments : Definitions unfolded, hence Especial.
% 0.16/0.54 %------------------------------------------------------------------------------
% 0.16/0.54 include('Axioms/GEO008+0.ax').
% 0.16/0.54 include('Axioms/GEO006+2.ax').
% 0.16/0.54 include('Axioms/GEO006+3.ax').
% 0.16/0.54 %------------------------------------------------------------------------------
% 0.16/0.54 fof(con,conjecture,
% 0.16/0.54 ! [L,M] :
% 0.16/0.54 ( unorthogonal_lines(L,M)
% 0.16/0.54 => unorthogonal_lines(M,L) ) ).
% 0.16/0.54
% 0.16/0.54 %------------------------------------------------------------------------------
% 0.16/0.54 %-------------------------------------------
% 0.16/0.54 % Proof found
% 0.16/0.54 % SZS status Theorem for theBenchmark
% 0.16/0.54 % SZS output start Proof
% 0.16/0.54 %ClaNum:27(EqnAxiom:0)
% 0.16/0.54 %VarNum:138(SingletonVarNum:62)
% 0.16/0.54 %MaxLitNum:6
% 0.16/0.54 %MaxfuncDepth:1
% 0.16/0.54 %SharedTerms:4
% 0.16/0.54 %goalClause: 1 2
% 0.16/0.54 %singleGoalClaCount:2
% 0.16/0.54 [1]P1(a1,a2)
% 0.16/0.54 [2]~P1(a2,a1)
% 0.16/0.54 [3]~P2(x31,x31)
% 0.16/0.54 [4]~P3(x41,x41)
% 0.16/0.54 [5]~P4(x51,x51)
% 0.16/0.54 [6]~P5(x61,f3(x62,x61))
% 0.16/0.54 [7]~P5(x71,f4(x72,x71))
% 0.16/0.54 [8]~P4(f3(x81,x82),x81)
% 0.16/0.54 [9]~P1(f4(x91,x92),x91)
% 0.16/0.54 [10]P1(x101,x102)+P4(x101,x102)
% 0.16/0.54 [11]~P4(x111,x112)+P3(x111,x112)
% 0.16/0.54 [12]~P2(x123,x121)+P2(x121,x122)+P2(x123,x122)
% 0.16/0.54 [13]~P5(x131,x133)+P2(x131,x132)+P5(x132,x133)
% 0.16/0.54 [14]~P3(x143,x141)+P3(x141,x142)+P3(x143,x142)
% 0.16/0.54 [15]~P5(x153,x151)+P3(x151,x152)+P5(x153,x152)
% 0.16/0.54 [16]~P4(x163,x161)+P4(x161,x162)+P4(x163,x162)
% 0.16/0.54 [23]~P4(x232,x233)+~P5(x231,x233)+P2(x231,f5(x232,x233))
% 0.16/0.54 [24]~P4(x242,x243)+~P5(x241,x242)+P2(x241,f5(x242,x243))
% 0.16/0.54 [25]P2(x251,x252)+~P2(x253,x252)+~P5(x251,f6(x253,x252))
% 0.16/0.54 [26]P2(x261,x262)+~P2(x262,x263)+~P5(x261,f6(x262,x263))
% 0.16/0.54 [17]P5(x173,x171)+~P3(x171,x172)+P4(x171,x172)+P5(x173,x172)
% 0.16/0.54 [19]~P4(x191,x193)+~P1(x191,x193)+P4(x191,x192)+P1(x193,x192)
% 0.16/0.54 [20]~P4(x203,x201)+~P1(x203,x201)+P4(x201,x202)+P1(x203,x202)
% 0.16/0.54 [21]~P4(x211,x213)+~P1(x211,x213)+P1(x211,x212)+P1(x213,x212)
% 0.16/0.54 [22]P1(x223,x224)+~P3(x223,x222)+P5(x221,x222)+P5(x221,x223)+P1(x222,x224)
% 0.16/0.54 [27]P5(x274,x273)+~P2(x274,x271)+~P3(x273,x272)+P5(x271,x272)+P5(x271,x273)+P5(x274,x272)
% 0.16/0.54 %EqnAxiom
% 0.16/0.54
% 0.16/0.54 %-------------------------------------------
% 0.16/0.54 cnf(30,plain,
% 0.16/0.54 (~P4(a1,a2)),
% 0.16/0.54 inference(scs_inference,[],[1,2,5,10,19])).
% 0.16/0.54 cnf(45,plain,
% 0.16/0.54 (~P4(f3(a2,x451),a1)),
% 0.16/0.54 inference(scs_inference,[],[30,8,10,16])).
% 0.16/0.54 cnf(46,plain,
% 0.16/0.54 (~P4(f3(x461,x462),x461)),
% 0.16/0.54 inference(rename_variables,[],[8])).
% 0.16/0.54 cnf(48,plain,
% 0.16/0.54 (~P3(f3(f4(x481,x482),x482),f4(x481,x482))),
% 0.16/0.54 inference(scs_inference,[],[30,8,46,7,6,10,16,17])).
% 0.16/0.54 cnf(69,plain,
% 0.16/0.54 (~P4(a2,a1)),
% 0.16/0.54 inference(scs_inference,[],[30,45,48,5,4,10,14,16])).
% 0.16/0.54 cnf(89,plain,
% 0.16/0.54 ($false),
% 0.16/0.54 inference(scs_inference,[],[2,69,10]),
% 0.16/0.54 ['proof']).
% 0.16/0.54 % SZS output end Proof
% 0.16/0.54 % Total time :0.010000s
%------------------------------------------------------------------------------