TSTP Solution File: GEO215+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 : Wed Aug 30 22:43:45 EDT 2023
% Result : Theorem 0.57s 0.64s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:29:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % File :CSE---1.6
% 0.19/0.64 % Problem :theBenchmark
% 0.19/0.64 % Transform :cnf
% 0.19/0.64 % Format :tptp:raw
% 0.19/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.64
% 0.19/0.64 % Result :Theorem 0.010000s
% 0.19/0.64 % Output :CNFRefutation 0.010000s
% 0.19/0.64 %-------------------------------------------
% 0.57/0.64 %------------------------------------------------------------------------------
% 0.57/0.64 % File : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.57/0.64 % Domain : Geometry (Constructive)
% 0.57/0.64 % Problem : Third line not orthogonal to two convergent lines
% 0.57/0.64 % Version : [vPl95] axioms : Reduced > Especial.
% 0.57/0.64 % English : If two lines L and M are convergent, then a third line N is
% 0.57/0.64 % not orthogonal to L or M.
% 0.57/0.64
% 0.57/0.64 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.57/0.64 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.57/0.64 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.57/0.64 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.57/0.64 % Source : [ILTP]
% 0.57/0.64 % Names :
% 0.57/0.64
% 0.57/0.64 % Status : Theorem
% 0.57/0.64 % 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
% 0.57/0.64 % Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% 0.57/0.64 % Number of atoms : 58 ( 0 equ)
% 0.57/0.64 % Maximal formula atoms : 6 ( 2 avg)
% 0.57/0.64 % Number of connectives : 44 ( 7 ~; 17 |; 5 &)
% 0.57/0.64 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.57/0.64 % Maximal formula depth : 9 ( 5 avg)
% 0.57/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.57/0.64 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.57/0.64 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.57/0.64 % Number of variables : 53 ( 53 !; 0 ?)
% 0.57/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.57/0.64
% 0.57/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.57/0.64 %------------------------------------------------------------------------------
% 0.57/0.64 include('Axioms/GEO008+0.ax').
% 0.57/0.64 include('Axioms/GEO006+2.ax').
% 0.57/0.64 include('Axioms/GEO006+3.ax').
% 0.57/0.64 %------------------------------------------------------------------------------
% 0.57/0.64 fof(con,conjecture,
% 0.57/0.64 ! [L,M,N] :
% 0.57/0.64 ( convergent_lines(L,M)
% 0.57/0.64 => ( unorthogonal_lines(L,N)
% 0.57/0.64 | unorthogonal_lines(M,N) ) ) ).
% 0.57/0.64
% 0.57/0.64 %------------------------------------------------------------------------------
% 0.57/0.64 %-------------------------------------------
% 0.57/0.64 % Proof found
% 0.57/0.64 % SZS status Theorem for theBenchmark
% 0.57/0.64 % SZS output start Proof
% 0.57/0.64 %ClaNum:28(EqnAxiom:0)
% 0.57/0.64 %VarNum:138(SingletonVarNum:62)
% 0.57/0.64 %MaxLitNum:6
% 0.57/0.64 %MaxfuncDepth:1
% 0.57/0.64 %SharedTerms:6
% 0.57/0.64 %goalClause: 1 2 3
% 0.57/0.64 %singleGoalClaCount:3
% 0.57/0.64 [1]P1(a1,a2)
% 0.57/0.64 [2]~P3(a1,a3)
% 0.57/0.64 [3]~P3(a2,a3)
% 0.57/0.64 [4]~P4(x41,x41)
% 0.57/0.64 [5]~P5(x51,x51)
% 0.57/0.64 [6]~P1(x61,x61)
% 0.57/0.64 [7]~P2(x71,f4(x72,x71))
% 0.57/0.64 [8]~P2(x81,f5(x82,x81))
% 0.57/0.64 [9]~P1(f4(x91,x92),x91)
% 0.57/0.64 [10]~P3(f5(x101,x102),x101)
% 0.57/0.64 [11]P3(x111,x112)+P1(x111,x112)
% 0.57/0.64 [12]~P1(x121,x122)+P5(x121,x122)
% 0.57/0.64 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.57/0.64 [14]~P2(x141,x143)+P4(x141,x142)+P2(x142,x143)
% 0.57/0.64 [15]~P5(x153,x151)+P5(x151,x152)+P5(x153,x152)
% 0.57/0.64 [16]~P2(x163,x161)+P5(x161,x162)+P2(x163,x162)
% 0.57/0.64 [17]~P1(x173,x171)+P1(x171,x172)+P1(x173,x172)
% 0.57/0.64 [24]~P1(x242,x243)+~P2(x241,x243)+P4(x241,f6(x242,x243))
% 0.57/0.64 [25]~P1(x252,x253)+~P2(x251,x252)+P4(x251,f6(x252,x253))
% 0.57/0.64 [26]P4(x261,x262)+~P4(x263,x262)+~P2(x261,f7(x263,x262))
% 0.57/0.64 [27]P4(x271,x272)+~P4(x272,x273)+~P2(x271,f7(x272,x273))
% 0.57/0.64 [18]P2(x183,x181)+~P5(x181,x182)+P1(x181,x182)+P2(x183,x182)
% 0.57/0.64 [20]~P1(x201,x203)+~P3(x201,x203)+P1(x201,x202)+P3(x203,x202)
% 0.57/0.64 [21]~P1(x213,x211)+~P3(x213,x211)+P1(x211,x212)+P3(x213,x212)
% 0.57/0.64 [22]~P1(x221,x223)+~P3(x221,x223)+P3(x221,x222)+P3(x223,x222)
% 0.57/0.64 [23]P3(x233,x234)+~P5(x233,x232)+P2(x231,x232)+P2(x231,x233)+P3(x232,x234)
% 0.57/0.64 [28]P2(x284,x283)+~P4(x284,x281)+~P5(x283,x282)+P2(x281,x282)+P2(x281,x283)+P2(x284,x282)
% 0.57/0.64 %EqnAxiom
% 0.57/0.64
% 0.57/0.64 %-------------------------------------------
% 0.57/0.65 cnf(30,plain,
% 0.57/0.65 (P1(a2,a1)),
% 0.57/0.65 inference(scs_inference,[],[1,6,11,17])).
% 0.57/0.65 cnf(34,plain,
% 0.57/0.65 (~P4(x341,x341)),
% 0.57/0.65 inference(rename_variables,[],[4])).
% 0.57/0.65 cnf(43,plain,
% 0.57/0.65 (P5(a1,a2)),
% 0.57/0.65 inference(scs_inference,[],[1,4,34,6,2,8,10,11,17,25,24,23,12])).
% 0.57/0.65 cnf(60,plain,
% 0.57/0.65 (~P2(f6(a2,a1),a2)),
% 0.57/0.65 inference(scs_inference,[],[5,4,3,43,30,15,11,25])).
% 0.57/0.65 cnf(61,plain,
% 0.57/0.65 (~P4(x611,x611)),
% 0.57/0.65 inference(rename_variables,[],[4])).
% 0.57/0.65 cnf(63,plain,
% 0.57/0.65 (~P2(f6(a2,a1),a1)),
% 0.57/0.65 inference(scs_inference,[],[5,4,61,3,43,30,15,11,25,24])).
% 0.57/0.65 cnf(78,plain,
% 0.57/0.65 ($false),
% 0.57/0.65 inference(scs_inference,[],[2,9,3,63,60,43,11,23]),
% 0.57/0.65 ['proof']).
% 0.57/0.65 % SZS output end Proof
% 0.57/0.65 % Total time :0.010000s
%------------------------------------------------------------------------------