%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO218+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 06:04:39 EDT 2024
% Result : Theorem 41.38s 41.61s
% Output : CNFRefutation 41.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO218+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 21 10:22:09 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 41.38/41.60 %-------------------------------------------
% 41.38/41.60 % File :CSE---1.7
% 41.38/41.60 % Problem :theBenchmark
% 41.38/41.60 % Transform :cnf
% 41.38/41.60 % Format :tptp:raw
% 41.38/41.60 % Command :java -jar mcs_scs.jar %d %s
% 41.38/41.60
% 41.38/41.60 % Result :Theorem 40.820000s
% 41.38/41.60 % Output :CNFRefutation 40.820000s
% 41.38/41.60 %-------------------------------------------
% 41.38/41.61 %------------------------------------------------------------------------------
% 41.38/41.61 % File : GEO218+2 : TPTP v8.2.0. Released v3.3.0.
% 41.38/41.61 % Domain : Geometry (Constructive)
% 41.38/41.61 % Problem : Transitivity of parallel and orthogonal
% 41.38/41.61 % Version : [vPl95] axioms : Reduced > Especial.
% 41.38/41.61 % English : If two lines L and M are parallel and a third line N is
% 41.38/41.61 % orthogonal to L, then M is orthogonal to N.
% 41.38/41.61
% 41.38/41.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 41.38/41.61 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 41.38/41.61 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 41.38/41.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 41.38/41.61 % Source : [ILTP]
% 41.38/41.61 % Names :
% 41.38/41.61
% 41.38/41.61 % Status : Theorem
% 41.38/41.61 % Rating : 0.06 v8.2.0, 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, 0.17 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
% 41.38/41.61 % Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% 41.38/41.61 % Number of atoms : 48 ( 0 equ)
% 41.38/41.61 % Maximal formula atoms : 6 ( 3 avg)
% 41.38/41.61 % Number of connectives : 50 ( 18 ~; 12 |; 6 &)
% 41.38/41.61 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 41.38/41.61 % Maximal formula depth : 9 ( 6 avg)
% 41.38/41.61 % Maximal term depth : 2 ( 1 avg)
% 41.38/41.61 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 41.38/41.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 41.38/41.61 % Number of variables : 41 ( 41 !; 0 ?)
% 41.38/41.61 % SPC : FOF_THM_RFO_NEQ
% 41.38/41.61
% 41.38/41.61 % Comments : Definitions unfolded, hence Especial.
% 41.38/41.61 %------------------------------------------------------------------------------
% 41.38/41.61 include('Axioms/GEO008+0.ax').
% 41.38/41.61 include('Axioms/GEO006+4.ax').
% 41.38/41.61 %------------------------------------------------------------------------------
% 41.38/41.61 fof(con,conjecture,
% 41.38/41.61 ! [L,M,N] :
% 41.38/41.61 ( ( ~ convergent_lines(L,M)
% 41.38/41.61 & ~ unorthogonal_lines(L,N) )
% 41.38/41.61 => ~ unorthogonal_lines(M,N) ) ).
% 41.38/41.61
% 41.38/41.61 %------------------------------------------------------------------------------
% 41.38/41.61 %-------------------------------------------
% 41.38/41.61 % Proof found
% 41.38/41.61 % SZS status Theorem for theBenchmark
% 41.38/41.61 % SZS output start Proof
% 41.38/41.61 %ClaNum:23(EqnAxiom:0)
% 41.38/41.61 %VarNum:114(SingletonVarNum:50)
% 41.38/41.61 %MaxLitNum:6
% 41.38/41.61 %MaxfuncDepth:1
% 41.38/41.61 %SharedTerms:6
% 41.38/41.61 %goalClause: 1 2 3
% 41.38/41.61 %singleGoalClaCount:3
% 41.38/41.61 [1]P1(a1,a3)
% 41.38/41.61 [2]~P2(a2,a1)
% 41.38/41.61 [3]~P1(a2,a3)
% 41.38/41.61 [4]~P4(x41,x41)
% 41.38/41.61 [5]~P5(x51,x51)
% 41.38/41.61 [6]~P2(x61,x61)
% 41.38/41.61 [7]P1(x71,x72)+P2(x71,x72)
% 41.38/41.61 [8]~P2(x81,x82)+P5(x81,x82)
% 41.38/41.61 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 41.38/41.61 [10]~P3(x101,x103)+P4(x101,x102)+P3(x102,x103)
% 41.38/41.61 [11]~P5(x113,x111)+P5(x111,x112)+P5(x113,x112)
% 41.38/41.61 [12]~P3(x123,x121)+P5(x121,x122)+P3(x123,x122)
% 41.38/41.61 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 41.38/41.61 [14]~P2(x143,x142)+P1(x141,x142)+P1(x141,x143)
% 41.38/41.61 [19]~P2(x192,x193)+~P3(x191,x193)+P4(x191,f4(x192,x193))
% 41.38/41.61 [20]~P2(x202,x203)+~P3(x201,x202)+P4(x201,f4(x202,x203))
% 41.38/41.61 [21]P4(x211,x212)+~P4(x213,x212)+~P3(x211,f5(x213,x212))
% 41.38/41.61 [22]P4(x221,x222)+~P4(x222,x223)+~P3(x221,f5(x222,x223))
% 41.38/41.61 [15]~P2(x152,x153)+~P1(x152,x153)+P2(x151,x152)+P2(x151,x153)
% 41.38/41.61 [16]~P2(x162,x163)+~P1(x162,x163)+P2(x161,x162)+P1(x161,x163)
% 41.38/41.61 [17]~P2(x173,x172)+~P1(x173,x172)+P2(x171,x172)+P1(x171,x173)
% 41.38/41.61 [23]P3(x234,x233)+~P4(x234,x231)+~P5(x233,x232)+P3(x231,x232)+P3(x231,x233)+P3(x234,x232)
% 41.38/41.61 %EqnAxiom
% 41.38/41.61
% 41.38/41.61 %-------------------------------------------
% 41.38/41.62 cnf(29,plain,
% 41.38/41.62 (~P2(a1,a3)),
% 41.38/41.62 inference(scs_inference,[],[1,2,3,6,7,13,16])).
% 41.38/41.62 cnf(49,plain,
% 41.38/41.62 (P1(a3,a1)),
% 41.38/41.62 inference(scs_inference,[],[29,6,13,7])).
% 41.38/41.62 cnf(226,plain,
% 41.38/41.62 (~P2(a3,a2)),
% 41.38/41.62 inference(scs_inference,[],[2,49,3,13,17])).
% 41.38/41.62 cnf(232,plain,
% 41.38/41.62 ($false),
% 41.38/41.62 inference(scs_inference,[],[226,3,6,13,7]),
% 41.38/41.62 ['proof']).
% 41.38/41.62 % SZS output end Proof
% 41.38/41.62 % Total time :40.820000s
%------------------------------------------------------------------------------