%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO215+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 : 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 06:04:37 EDT 2024
% Result : Theorem 0.53s 0.87s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO215+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 : n025.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 07:38:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.52/0.56 start to proof:theBenchmark
% 0.53/0.86 %-------------------------------------------
% 0.53/0.86 % File :CSE---1.7
% 0.53/0.86 % Problem :theBenchmark
% 0.53/0.86 % Transform :cnf
% 0.53/0.86 % Format :tptp:raw
% 0.53/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.86
% 0.53/0.86 % Result :Theorem 0.260000s
% 0.53/0.86 % Output :CNFRefutation 0.260000s
% 0.53/0.86 %-------------------------------------------
% 0.53/0.86 %------------------------------------------------------------------------------
% 0.53/0.86 % File : GEO215+1 : TPTP v8.2.0. Released v3.3.0.
% 0.53/0.86 % Domain : Geometry (Constructive)
% 0.53/0.86 % Problem : Third line not orthogonal to two convergent lines
% 0.53/0.86 % Version : [vPl95] axioms : Especial.
% 0.53/0.86 % English : If two lines L and M are convergent, then a third line N is
% 0.53/0.86 % not orthogonal to L or M.
% 0.53/0.86
% 0.53/0.86 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.86 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.86 % Source : [ILTP]
% 0.53/0.86 % Names : Theorem 8.6 [vPl95]
% 0.53/0.86
% 0.53/0.86 % Status : Theorem
% 0.53/0.86 % Rating : 0.00 v7.4.0, 0.06 v7.3.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 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
% 0.53/0.86 % Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% 0.53/0.86 % Number of atoms : 59 ( 0 equ)
% 0.53/0.86 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.86 % Number of connectives : 47 ( 11 ~; 17 |; 4 &)
% 0.53/0.86 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.53/0.86 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.86 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.86 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.53/0.86 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.53/0.86 % Number of variables : 56 ( 56 !; 0 ?)
% 0.53/0.86 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.86
% 0.53/0.86 % Comments : Definitions unfolded, hence Especial.
% 0.53/0.86 %------------------------------------------------------------------------------
% 0.53/0.86 include('Axioms/GEO006+0.ax').
% 0.53/0.86 include('Axioms/GEO006+2.ax').
% 0.53/0.86 include('Axioms/GEO006+3.ax').
% 0.53/0.87 %------------------------------------------------------------------------------
% 0.53/0.87 fof(con,conjecture,
% 0.53/0.87 ! [L,M,N] :
% 0.53/0.87 ( convergent_lines(L,M)
% 0.53/0.87 => ( unorthogonal_lines(L,N)
% 0.53/0.87 | unorthogonal_lines(M,N) ) ) ).
% 0.53/0.87
% 0.53/0.87 %------------------------------------------------------------------------------
% 0.53/0.87 %-------------------------------------------
% 0.53/0.87 % Proof found
% 0.53/0.87 % SZS status Theorem for theBenchmark
% 0.53/0.87 % SZS output start Proof
% 0.53/0.87 %ClaNum:28(EqnAxiom:0)
% 0.53/0.87 %VarNum:132(SingletonVarNum:59)
% 0.53/0.87 %MaxLitNum:6
% 0.53/0.87 %MaxfuncDepth:1
% 0.53/0.87 %SharedTerms:6
% 0.53/0.87 %goalClause: 1 2 3
% 0.53/0.87 %singleGoalClaCount:3
% 0.53/0.87 [1]P1(a1,a2)
% 0.53/0.87 [2]~P3(a1,a3)
% 0.53/0.87 [3]~P3(a2,a3)
% 0.53/0.87 [4]~P4(x41,x41)
% 0.53/0.87 [5]~P5(x51,x51)
% 0.53/0.87 [6]~P1(x61,x61)
% 0.53/0.87 [7]~P2(x71,f4(x72,x71))
% 0.53/0.87 [8]~P2(x81,f5(x82,x81))
% 0.53/0.87 [9]~P1(f4(x91,x92),x91)
% 0.53/0.87 [10]~P3(f5(x101,x102),x101)
% 0.53/0.87 [11]P3(x111,x112)+P1(x111,x112)
% 0.53/0.87 [24]~P4(x241,x242)+~P2(x242,f6(x241,x242))
% 0.53/0.87 [25]~P4(x251,x252)+~P2(x251,f6(x251,x252))
% 0.53/0.87 [26]~P1(x261,x262)+~P2(f7(x261,x262),x262)
% 0.53/0.87 [27]~P1(x271,x272)+~P2(f7(x271,x272),x271)
% 0.53/0.87 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.53/0.87 [13]~P2(x131,x133)+P4(x131,x132)+P2(x132,x133)
% 0.53/0.87 [14]~P5(x143,x141)+P5(x141,x142)+P5(x143,x142)
% 0.53/0.87 [15]~P1(x153,x151)+P5(x151,x152)+P1(x153,x152)
% 0.53/0.87 [16]~P2(x163,x161)+P5(x161,x162)+P2(x163,x162)
% 0.53/0.87 [17]~P1(x173,x171)+P1(x171,x172)+P1(x173,x172)
% 0.53/0.87 [18]P2(x183,x181)+~P5(x181,x182)+P1(x181,x182)+P2(x183,x182)
% 0.53/0.87 [20]~P1(x201,x203)+~P3(x201,x203)+P1(x201,x202)+P3(x203,x202)
% 0.53/0.87 [21]~P1(x213,x211)+~P3(x213,x211)+P1(x211,x212)+P3(x213,x212)
% 0.53/0.87 [22]~P1(x221,x223)+~P3(x221,x223)+P3(x221,x222)+P3(x223,x222)
% 0.53/0.87 [23]P3(x233,x234)+~P5(x233,x232)+P2(x231,x232)+P2(x231,x233)+P3(x232,x234)
% 0.53/0.87 [28]P2(x284,x283)+~P4(x284,x281)+~P5(x283,x282)+P2(x281,x282)+P2(x281,x283)+P2(x284,x282)
% 0.53/0.87 %EqnAxiom
% 0.53/0.87
% 0.53/0.87 %-------------------------------------------
% 0.53/0.87 cnf(50,plain,
% 0.53/0.87 (~P2(x501,f5(x502,x501))),
% 0.53/0.87 inference(rename_variables,[],[8])).
% 0.53/0.87 cnf(53,plain,
% 0.53/0.87 (~P5(f5(a3,x531),a2)+P2(x531,a2)),
% 0.53/0.87 inference(scs_inference,[],[3,8,50,7,10,9,11,18,23])).
% 0.53/0.87 cnf(57,plain,
% 0.53/0.87 (~P5(f5(a3,x571),a1)+P2(x571,a1)),
% 0.53/0.87 inference(scs_inference,[],[2,8,10,23])).
% 0.53/0.87 cnf(157,plain,
% 0.53/0.87 (~P5(f5(a3,f7(a1,a2)),a2)),
% 0.53/0.87 inference(scs_inference,[],[1,53,26])).
% 0.53/0.87 cnf(163,plain,
% 0.53/0.87 (~P5(f5(a3,f7(a1,a2)),a1)),
% 0.53/0.87 inference(scs_inference,[],[1,57,27])).
% 0.53/0.87 cnf(206,plain,
% 0.53/0.87 (P1(a2,f5(a3,f7(a1,a2)))),
% 0.53/0.87 inference(scs_inference,[],[1,163,6,15,11,17])).
% 0.53/0.87 cnf(217,plain,
% 0.53/0.87 ($false),
% 0.53/0.87 inference(scs_inference,[],[206,157,6,15]),
% 0.53/0.87 ['proof']).
% 0.53/0.87 % SZS output end Proof
% 0.53/0.87 % Total time :0.260000s
%------------------------------------------------------------------------------