%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO171+1 : 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 : n018.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 06:04:08 EDT 2024
% Result : Theorem 0.51s 0.59s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO171+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 07:54:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % File :CSE---1.7
% 0.51/0.59 % Problem :theBenchmark
% 0.51/0.59 % Transform :cnf
% 0.51/0.59 % Format :tptp:raw
% 0.51/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.59
% 0.51/0.59 % Result :Theorem 0.000000s
% 0.51/0.59 % Output :CNFRefutation 0.000000s
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 % File : GEO171+1 : TPTP v8.2.0. Released v3.3.0.
% 0.51/0.59 % Domain : Geometry (Constructive)
% 0.51/0.59 % Problem : Two convergent lines are distinct
% 0.51/0.59 % Version : [vPl95] axioms : Especial.
% 0.51/0.59 % English :
% 0.51/0.59
% 0.51/0.59 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.59 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.59 % Source : [ILTP]
% 0.51/0.59 % Names : Theorem 3.2 [vPl95]
% 0.51/0.59
% 0.51/0.59 % Status : Theorem
% 0.51/0.59 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.51/0.59 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.51/0.59 % Number of atoms : 37 ( 0 equ)
% 0.51/0.59 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.59 % Number of connectives : 29 ( 7 ~; 9 |; 1 &)
% 0.51/0.59 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.51/0.59 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.59 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.51/0.59 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.51/0.59 % Number of variables : 35 ( 35 !; 0 ?)
% 0.51/0.59 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.59
% 0.51/0.59 % Comments : Definitions unfolded, hence Especial.
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 include('Axioms/GEO006+0.ax').
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 fof(con,conjecture,
% 0.51/0.59 ! [X,Y] :
% 0.51/0.59 ( convergent_lines(X,Y)
% 0.51/0.59 => distinct_lines(X,Y) ) ).
% 0.51/0.59
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark
% 0.51/0.59 % SZS output start Proof
% 0.55/0.59 %ClaNum:16(EqnAxiom:0)
% 0.55/0.59 %VarNum:74(SingletonVarNum:33)
% 0.55/0.59 %MaxLitNum:6
% 0.55/0.59 %MaxfuncDepth:1
% 0.55/0.59 %SharedTerms:4
% 0.55/0.59 %goalClause: 1 2
% 0.55/0.59 %singleGoalClaCount:2
% 0.55/0.59 [1]P1(a1,a2)
% 0.55/0.59 [2]~P3(a1,a2)
% 0.55/0.59 [3]~P4(x31,x31)
% 0.55/0.59 [4]~P3(x41,x41)
% 0.55/0.59 [5]~P1(x51,x51)
% 0.55/0.59 [12]~P4(x121,x122)+~P2(x122,f3(x121,x122))
% 0.55/0.59 [13]~P4(x131,x132)+~P2(x131,f3(x131,x132))
% 0.55/0.59 [14]~P1(x141,x142)+~P2(f4(x141,x142),x142)
% 0.55/0.59 [15]~P1(x151,x152)+~P2(f4(x151,x152),x151)
% 0.55/0.59 [6]~P4(x63,x61)+P4(x61,x62)+P4(x63,x62)
% 0.55/0.60 [7]~P2(x71,x73)+P4(x71,x72)+P2(x72,x73)
% 0.55/0.60 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 0.55/0.60 [9]~P1(x93,x91)+P3(x91,x92)+P1(x93,x92)
% 0.55/0.60 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.55/0.60 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.55/0.60 [16]P2(x164,x163)+~P4(x164,x161)+~P3(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.55/0.60 %EqnAxiom
% 0.55/0.60
% 0.55/0.60 %-------------------------------------------
% 0.55/0.60 cnf(20,plain,
% 0.55/0.60 ($false),
% 0.55/0.60 inference(scs_inference,[],[1,2,4,5,8,9]),
% 0.55/0.60 ['proof']).
% 0.55/0.60 % SZS output end Proof
% 0.55/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------