%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO219+1 : 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 : n027.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 06:04:40 EDT 2024
% Result : Theorem 0.54s 0.79s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 09:49:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 0.54/0.78 %-------------------------------------------
% 0.54/0.78 % File :CSE---1.7
% 0.54/0.78 % Problem :theBenchmark
% 0.54/0.78 % Transform :cnf
% 0.54/0.78 % Format :tptp:raw
% 0.54/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.78
% 0.54/0.78 % Result :Theorem 0.170000s
% 0.54/0.78 % Output :CNFRefutation 0.170000s
% 0.54/0.78 %-------------------------------------------
% 0.54/0.79 %------------------------------------------------------------------------------
% 0.54/0.79 % File : GEO219+1 : TPTP v8.2.0. Released v3.3.0.
% 0.54/0.79 % Domain : Geometry (Constructive)
% 0.54/0.79 % Problem : Transitivity of orthogonal and parallel
% 0.54/0.79 % Version : [vPl95] axioms : Especial.
% 0.54/0.79 % English : If line L is orthogonal to M and a line N is parallel to L,
% 0.54/0.79 % then M is orthogonal to N.
% 0.54/0.79
% 0.54/0.79 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.54/0.79 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.54/0.79 % Source : [ILTP]
% 0.54/0.79 % Names : Theorem 8.7.iii [vPl95]
% 0.54/0.79
% 0.54/0.79 % Status : Theorem
% 0.54/0.79 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 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
% 0.54/0.79 % Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% 0.54/0.79 % Number of atoms : 49 ( 0 equ)
% 0.54/0.79 % Maximal formula atoms : 6 ( 2 avg)
% 0.54/0.79 % Number of connectives : 53 ( 22 ~; 12 |; 5 &)
% 0.54/0.79 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.54/0.79 % Maximal formula depth : 9 ( 6 avg)
% 0.54/0.79 % Maximal term depth : 2 ( 1 avg)
% 0.54/0.79 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.54/0.79 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.54/0.79 % Number of variables : 44 ( 44 !; 0 ?)
% 0.54/0.79 % SPC : FOF_THM_RFO_NEQ
% 0.54/0.79
% 0.54/0.79 % Comments : Definitions unfolded, hence Especial.
% 0.54/0.79 %------------------------------------------------------------------------------
% 0.54/0.79 include('Axioms/GEO006+0.ax').
% 0.54/0.79 include('Axioms/GEO006+4.ax').
% 0.54/0.79 %------------------------------------------------------------------------------
% 0.54/0.79 fof(con,conjecture,
% 0.54/0.79 ! [L,M,N] :
% 0.54/0.79 ( ( ~ unorthogonal_lines(L,M)
% 0.54/0.79 & ~ convergent_lines(L,N) )
% 0.54/0.79 => ~ unorthogonal_lines(M,N) ) ).
% 0.54/0.79
% 0.54/0.79 %------------------------------------------------------------------------------
% 0.54/0.79 %-------------------------------------------
% 0.54/0.79 % Proof found
% 0.54/0.79 % SZS status Theorem for theBenchmark
% 0.54/0.79 % SZS output start Proof
% 0.54/0.79 %ClaNum:23(EqnAxiom:0)
% 0.54/0.79 %VarNum:108(SingletonVarNum:47)
% 0.54/0.79 %MaxLitNum:6
% 0.54/0.79 %MaxfuncDepth:1
% 0.54/0.79 %SharedTerms:6
% 0.54/0.79 %goalClause: 1 2 3
% 0.54/0.79 %singleGoalClaCount:3
% 0.54/0.79 [1]P1(a1,a3)
% 0.54/0.79 [2]~P2(a2,a3)
% 0.54/0.79 [3]~P1(a2,a1)
% 0.54/0.79 [4]~P4(x41,x41)
% 0.54/0.79 [5]~P5(x51,x51)
% 0.54/0.79 [6]~P2(x61,x61)
% 0.54/0.79 [7]P1(x71,x72)+P2(x71,x72)
% 0.54/0.79 [19]~P4(x191,x192)+~P3(x192,f4(x191,x192))
% 0.54/0.79 [20]~P4(x201,x202)+~P3(x201,f4(x201,x202))
% 0.54/0.79 [21]~P2(x211,x212)+~P3(f5(x211,x212),x212)
% 0.54/0.79 [22]~P2(x221,x222)+~P3(f5(x221,x222),x221)
% 0.54/0.79 [8]~P4(x83,x81)+P4(x81,x82)+P4(x83,x82)
% 0.54/0.79 [9]~P3(x91,x93)+P4(x91,x92)+P3(x92,x93)
% 0.54/0.79 [10]~P5(x103,x101)+P5(x101,x102)+P5(x103,x102)
% 0.54/0.79 [11]~P2(x113,x111)+P5(x111,x112)+P2(x113,x112)
% 0.54/0.79 [12]~P3(x123,x121)+P5(x121,x122)+P3(x123,x122)
% 0.54/0.79 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 0.54/0.79 [14]~P2(x143,x142)+P1(x141,x142)+P1(x141,x143)
% 0.54/0.79 [15]~P2(x152,x153)+~P1(x152,x153)+P2(x151,x152)+P2(x151,x153)
% 0.54/0.79 [16]~P2(x162,x163)+~P1(x162,x163)+P2(x161,x162)+P1(x161,x163)
% 0.54/0.79 [17]~P2(x173,x172)+~P1(x173,x172)+P2(x171,x172)+P1(x171,x173)
% 0.54/0.79 [23]P3(x234,x233)+~P4(x234,x231)+~P5(x233,x232)+P3(x231,x232)+P3(x231,x233)+P3(x234,x232)
% 0.54/0.79 %EqnAxiom
% 0.54/0.79
% 0.54/0.79 %-------------------------------------------
% 0.54/0.79 cnf(67,plain,
% 0.54/0.79 (~P2(a2,a1)),
% 0.54/0.79 inference(scs_inference,[],[2,1,3,13,17])).
% 0.54/0.79 cnf(68,plain,
% 0.54/0.79 ($false),
% 0.54/0.79 inference(scs_inference,[],[3,67,7]),
% 0.54/0.79 ['proof']).
% 0.54/0.79 % SZS output end Proof
% 0.54/0.79 % Total time :0.170000s
%------------------------------------------------------------------------------