%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO217+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 : n020.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 06:04:38 EDT 2024
% Result : Theorem 64.62s 65.11s
% Output : CNFRefutation 64.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO217+1 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 06:41:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.42/0.59 start to proof:theBenchmark
% 64.62/65.10 %-------------------------------------------
% 64.62/65.10 % File :CSE---1.7
% 64.62/65.10 % Problem :theBenchmark
% 64.62/65.10 % Transform :cnf
% 64.62/65.10 % Format :tptp:raw
% 64.62/65.10 % Command :java -jar mcs_scs.jar %d %s
% 64.62/65.10
% 64.62/65.10 % Result :Theorem 64.130000s
% 64.62/65.10 % Output :CNFRefutation 64.130000s
% 64.62/65.10 %-------------------------------------------
% 64.62/65.11 %------------------------------------------------------------------------------
% 64.62/65.11 % File : GEO217+1 : TPTP v8.2.0. Released v3.3.0.
% 64.62/65.11 % Domain : Geometry (Constructive)
% 64.62/65.11 % Problem : Transitivity of parallel
% 64.62/65.11 % Version : [vPl95] axioms : Especial.
% 64.62/65.11 % English : If a line L is parallel to the lines M and N, then M and N
% 64.62/65.11 % are parallel.
% 64.62/65.11
% 64.62/65.11 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 64.62/65.11 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 64.62/65.11 % Source : [ILTP]
% 64.62/65.11 % Names : Theorem 8.7.i [vPl95]
% 64.62/65.11
% 64.62/65.11 % Status : Theorem
% 64.62/65.11 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.50 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 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
% 64.62/65.11 % Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% 64.62/65.11 % Number of atoms : 49 ( 0 equ)
% 64.62/65.11 % Maximal formula atoms : 6 ( 2 avg)
% 64.62/65.11 % Number of connectives : 53 ( 22 ~; 12 |; 5 &)
% 64.62/65.11 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 64.62/65.11 % Maximal formula depth : 9 ( 6 avg)
% 64.62/65.11 % Maximal term depth : 2 ( 1 avg)
% 64.62/65.11 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 64.62/65.11 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 64.62/65.11 % Number of variables : 44 ( 44 !; 0 ?)
% 64.62/65.11 % SPC : FOF_THM_RFO_NEQ
% 64.62/65.11
% 64.62/65.11 % Comments : Definitions unfolded, hence Especial.
% 64.62/65.11 %------------------------------------------------------------------------------
% 64.62/65.11 include('Axioms/GEO006+0.ax').
% 64.62/65.11 include('Axioms/GEO006+4.ax').
% 64.62/65.11 %------------------------------------------------------------------------------
% 64.62/65.11 fof(con,conjecture,
% 64.62/65.11 ! [L,M,N] :
% 64.62/65.11 ( ( ~ convergent_lines(L,M)
% 64.62/65.11 & ~ convergent_lines(L,N) )
% 64.62/65.11 => ~ convergent_lines(M,N) ) ).
% 64.62/65.11
% 64.62/65.11 %------------------------------------------------------------------------------
% 64.62/65.11 %-------------------------------------------
% 64.62/65.11 % Proof found
% 64.62/65.11 % SZS status Theorem for theBenchmark
% 64.62/65.11 % SZS output start Proof
% 64.62/65.12 %ClaNum:23(EqnAxiom:0)
% 64.62/65.12 %VarNum:108(SingletonVarNum:47)
% 64.62/65.12 %MaxLitNum:6
% 64.62/65.12 %MaxfuncDepth:1
% 64.62/65.12 %SharedTerms:6
% 64.62/65.12 %goalClause: 1 2 3
% 64.62/65.12 %singleGoalClaCount:3
% 64.62/65.12 [1]P1(a1,a3)
% 64.62/65.12 [2]~P1(a2,a1)
% 64.62/65.12 [3]~P1(a2,a3)
% 64.62/65.12 [4]~P3(x41,x41)
% 64.62/65.12 [5]~P4(x51,x51)
% 64.62/65.12 [6]~P1(x61,x61)
% 64.62/65.12 [7]P5(x71,x72)+P1(x71,x72)
% 64.62/65.12 [19]~P3(x191,x192)+~P2(x192,f4(x191,x192))
% 64.62/65.12 [20]~P3(x201,x202)+~P2(x201,f4(x201,x202))
% 64.62/65.12 [21]~P1(x211,x212)+~P2(f5(x211,x212),x212)
% 64.62/65.12 [22]~P1(x221,x222)+~P2(f5(x221,x222),x221)
% 64.62/65.12 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 64.62/65.12 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 64.62/65.12 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 64.62/65.12 [11]~P1(x113,x111)+P4(x111,x112)+P1(x113,x112)
% 64.62/65.12 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 64.62/65.12 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 64.62/65.12 [14]~P1(x143,x142)+P5(x141,x142)+P5(x141,x143)
% 64.62/65.12 [15]~P1(x152,x153)+~P5(x152,x153)+P1(x151,x152)+P1(x151,x153)
% 64.62/65.12 [16]~P1(x162,x163)+~P5(x162,x163)+P1(x161,x162)+P5(x161,x163)
% 64.62/65.12 [17]~P1(x173,x172)+~P5(x173,x172)+P1(x171,x172)+P5(x171,x173)
% 64.62/65.12 [23]P2(x234,x233)+~P3(x234,x231)+~P4(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 64.62/65.12 %EqnAxiom
% 64.62/65.12
% 64.62/65.12 %-------------------------------------------
% 64.62/65.13 cnf(37,plain,
% 64.62/65.13 (P5(x371,x371)),
% 64.62/65.13 inference(scs_inference,[],[6,7])).
% 64.62/65.13 cnf(290,plain,
% 64.62/65.13 (~P1(a3,a2)),
% 64.62/65.13 inference(scs_inference,[],[3,37,13,15])).
% 64.62/65.13 cnf(294,plain,
% 64.62/65.13 (P1(a1,a2)),
% 64.62/65.13 inference(scs_inference,[],[290,1,7,13])).
% 64.62/65.13 cnf(313,plain,
% 64.62/65.13 ($false),
% 64.62/65.13 inference(scs_inference,[],[294,2,6,13]),
% 64.62/65.13 ['proof']).
% 64.62/65.13 % SZS output end Proof
% 64.62/65.13 % Total time :64.130000s
%------------------------------------------------------------------------------