%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO215+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 : n032.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 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO215+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Jun 21 09:54:09 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.11/0.43 start to proof:theBenchmark
% 0.11/0.46 %-------------------------------------------
% 0.11/0.46 % File :CSE---1.7
% 0.11/0.46 % Problem :theBenchmark
% 0.11/0.46 % Transform :cnf
% 0.11/0.46 % Format :tptp:raw
% 0.11/0.46 % Command :java -jar mcs_scs.jar %d %s
% 0.11/0.46
% 0.11/0.46 % Result :Theorem 0.000000s
% 0.11/0.46 % Output :CNFRefutation 0.000000s
% 0.11/0.46 %-------------------------------------------
% 0.11/0.46 %------------------------------------------------------------------------------
% 0.11/0.46 % File : GEO215+2 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.46 % Domain : Geometry (Constructive)
% 0.11/0.46 % Problem : Third line not orthogonal to two convergent lines
% 0.11/0.46 % Version : [vPl95] axioms : Reduced > Especial.
% 0.11/0.46 % English : If two lines L and M are convergent, then a third line N is
% 0.11/0.46 % not orthogonal to L or M.
% 0.11/0.46
% 0.11/0.46 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.11/0.46 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.11/0.46 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.11/0.46 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.11/0.46 % Source : [ILTP]
% 0.11/0.46 % Names :
% 0.11/0.46
% 0.11/0.46 % Status : Theorem
% 0.11/0.46 % Rating : 0.00 v7.5.0, 0.14 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.14 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0, 0.15 v3.7.0, 0.00 v3.3.0
% 0.11/0.46 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 0.11/0.46 % Number of atoms : 58 ( 0 equ)
% 0.11/0.46 % Maximal formula atoms : 6 ( 2 avg)
% 0.11/0.46 % Number of connectives : 44 ( 7 ~; 17 |; 5 &)
% 0.11/0.46 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.11/0.46 % Maximal formula depth : 9 ( 5 avg)
% 0.11/0.46 % Maximal term depth : 2 ( 1 avg)
% 0.11/0.46 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.11/0.46 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.11/0.46 % Number of variables : 53 ( 53 !; 0 ?)
% 0.11/0.46 % SPC : FOF_THM_RFO_NEQ
% 0.11/0.46
% 0.11/0.46 % Comments : Definitions unfolded, hence Especial.
% 0.11/0.46 %------------------------------------------------------------------------------
% 0.11/0.46 include('Axioms/GEO008+0.ax').
% 0.11/0.46 include('Axioms/GEO006+2.ax').
% 0.11/0.46 include('Axioms/GEO006+3.ax').
% 0.11/0.46 %------------------------------------------------------------------------------
% 0.11/0.46 fof(con,conjecture,
% 0.11/0.46 ! [L,M,N] :
% 0.11/0.46 ( convergent_lines(L,M)
% 0.11/0.46 => ( unorthogonal_lines(L,N)
% 0.11/0.46 | unorthogonal_lines(M,N) ) ) ).
% 0.11/0.46
% 0.11/0.46 %------------------------------------------------------------------------------
% 0.11/0.46 %-------------------------------------------
% 0.11/0.46 % Proof found
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof
% 0.11/0.46 %ClaNum:28(EqnAxiom:0)
% 0.11/0.46 %VarNum:138(SingletonVarNum:62)
% 0.11/0.46 %MaxLitNum:6
% 0.11/0.46 %MaxfuncDepth:1
% 0.11/0.46 %SharedTerms:6
% 0.11/0.46 %goalClause: 1 2 3
% 0.11/0.46 %singleGoalClaCount:3
% 0.11/0.46 [1]P1(a1,a2)
% 0.11/0.46 [2]~P3(a1,a3)
% 0.11/0.46 [3]~P3(a2,a3)
% 0.11/0.46 [4]~P4(x41,x41)
% 0.11/0.46 [5]~P5(x51,x51)
% 0.11/0.46 [6]~P1(x61,x61)
% 0.11/0.46 [7]~P2(x71,f4(x72,x71))
% 0.11/0.46 [8]~P2(x81,f5(x82,x81))
% 0.11/0.46 [9]~P1(f4(x91,x92),x91)
% 0.11/0.46 [10]~P3(f5(x101,x102),x101)
% 0.11/0.46 [11]P3(x111,x112)+P1(x111,x112)
% 0.11/0.46 [12]~P1(x121,x122)+P5(x121,x122)
% 0.11/0.46 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.11/0.46 [14]~P2(x141,x143)+P4(x141,x142)+P2(x142,x143)
% 0.11/0.46 [15]~P5(x153,x151)+P5(x151,x152)+P5(x153,x152)
% 0.11/0.46 [16]~P2(x163,x161)+P5(x161,x162)+P2(x163,x162)
% 0.11/0.46 [17]~P1(x173,x171)+P1(x171,x172)+P1(x173,x172)
% 0.11/0.46 [24]~P1(x242,x243)+~P2(x241,x243)+P4(x241,f6(x242,x243))
% 0.11/0.46 [25]~P1(x252,x253)+~P2(x251,x252)+P4(x251,f6(x252,x253))
% 0.11/0.46 [26]P4(x261,x262)+~P4(x263,x262)+~P2(x261,f7(x263,x262))
% 0.11/0.46 [27]P4(x271,x272)+~P4(x272,x273)+~P2(x271,f7(x272,x273))
% 0.11/0.46 [18]P2(x183,x181)+~P5(x181,x182)+P1(x181,x182)+P2(x183,x182)
% 0.11/0.46 [20]~P1(x201,x203)+~P3(x201,x203)+P1(x201,x202)+P3(x203,x202)
% 0.11/0.46 [21]~P1(x213,x211)+~P3(x213,x211)+P1(x211,x212)+P3(x213,x212)
% 0.11/0.46 [22]~P1(x221,x223)+~P3(x221,x223)+P3(x221,x222)+P3(x223,x222)
% 0.11/0.46 [23]P3(x233,x234)+~P5(x233,x232)+P2(x231,x232)+P2(x231,x233)+P3(x232,x234)
% 0.11/0.46 [28]P2(x284,x283)+~P4(x284,x281)+~P5(x283,x282)+P2(x281,x282)+P2(x281,x283)+P2(x284,x282)
% 0.11/0.46 %EqnAxiom
% 0.11/0.46
% 0.11/0.46 %-------------------------------------------
% 0.11/0.47 cnf(34,plain,
% 0.11/0.47 (~P2(f6(a1,a2),a2)),
% 0.11/0.47 inference(scs_inference,[],[1,4,6,11,17,24])).
% 0.11/0.47 cnf(35,plain,
% 0.11/0.47 (~P4(x351,x351)),
% 0.11/0.47 inference(rename_variables,[],[4])).
% 0.11/0.47 cnf(37,plain,
% 0.11/0.47 (~P2(f6(a1,a2),a1)),
% 0.11/0.47 inference(scs_inference,[],[1,4,35,6,11,17,24,25])).
% 0.11/0.47 cnf(40,plain,
% 0.11/0.47 (~P5(f5(a3,f6(a1,a2)),a1)),
% 0.11/0.47 inference(scs_inference,[],[1,2,4,35,6,8,10,11,17,24,25,23])).
% 0.11/0.47 cnf(44,plain,
% 0.11/0.47 (~P1(f5(a3,f6(a1,a2)),a1)),
% 0.11/0.47 inference(scs_inference,[],[1,2,4,35,6,8,10,11,17,24,25,23,12])).
% 0.11/0.47 cnf(58,plain,
% 0.11/0.47 (~P1(f4(x581,x582),x581)),
% 0.11/0.47 inference(rename_variables,[],[9])).
% 0.11/0.47 cnf(64,plain,
% 0.11/0.47 (~P5(a1,a2)),
% 0.11/0.47 inference(scs_inference,[],[44,3,2,37,34,40,5,7,9,58,11,15,17,18,23])).
% 0.11/0.47 cnf(68,plain,
% 0.11/0.47 ($false),
% 0.11/0.47 inference(scs_inference,[],[1,64,12]),
% 0.11/0.47 ['proof']).
% 0.11/0.47 % SZS output end Proof
% 0.11/0.47 % Total time :0.000000s
%------------------------------------------------------------------------------