TSTP Solution File: GEO217+2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:43:46 EDT 2023
% Result : Theorem 190.86s 190.89s
% Output : CNFRefutation 190.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:02:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 190.86/190.88 %-------------------------------------------
% 190.86/190.88 % File :CSE---1.6
% 190.86/190.88 % Problem :theBenchmark
% 190.86/190.88 % Transform :cnf
% 190.86/190.88 % Format :tptp:raw
% 190.86/190.88 % Command :java -jar mcs_scs.jar %d %s
% 190.86/190.88
% 190.86/190.88 % Result :Theorem 190.210000s
% 190.86/190.88 % Output :CNFRefutation 190.210000s
% 190.86/190.88 %-------------------------------------------
% 190.86/190.88 %------------------------------------------------------------------------------
% 190.86/190.88 % File : GEO217+2 : TPTP v8.1.2. Released v3.3.0.
% 190.86/190.88 % Domain : Geometry (Constructive)
% 190.86/190.88 % Problem : Transitivity of parallel
% 190.86/190.88 % Version : [vPl95] axioms : Reduced > Especial.
% 190.86/190.88 % English : If a line L is parallel to the lines M and N, then M and N
% 190.86/190.88 % are parallel.
% 190.86/190.88
% 190.86/190.88 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 190.86/190.88 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 190.86/190.88 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 190.86/190.88 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 190.86/190.88 % Source : [ILTP]
% 190.86/190.88 % Names :
% 190.86/190.88
% 190.86/190.88 % Status : Theorem
% 190.86/190.88 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 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
% 190.86/190.88 % Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% 190.86/190.88 % Number of atoms : 48 ( 0 equ)
% 190.86/190.88 % Maximal formula atoms : 6 ( 3 avg)
% 190.86/190.88 % Number of connectives : 50 ( 18 ~; 12 |; 6 &)
% 190.86/190.88 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 190.86/190.88 % Maximal formula depth : 9 ( 6 avg)
% 190.86/190.88 % Maximal term depth : 2 ( 1 avg)
% 190.86/190.88 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 190.86/190.88 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 190.86/190.88 % Number of variables : 41 ( 41 !; 0 ?)
% 190.86/190.88 % SPC : FOF_THM_RFO_NEQ
% 190.86/190.89
% 190.86/190.89 % Comments : Definitions unfolded, hence Especial.
% 190.86/190.89 %------------------------------------------------------------------------------
% 190.86/190.89 include('Axioms/GEO008+0.ax').
% 190.86/190.89 include('Axioms/GEO006+4.ax').
% 190.86/190.89 %------------------------------------------------------------------------------
% 190.86/190.89 fof(con,conjecture,
% 190.86/190.89 ! [L,M,N] :
% 190.86/190.89 ( ( ~ convergent_lines(L,M)
% 190.86/190.89 & ~ convergent_lines(L,N) )
% 190.86/190.89 => ~ convergent_lines(M,N) ) ).
% 190.86/190.89
% 190.86/190.89 %------------------------------------------------------------------------------
% 190.86/190.89 %-------------------------------------------
% 190.86/190.89 % Proof found
% 190.86/190.89 % SZS status Theorem for theBenchmark
% 190.86/190.89 % SZS output start Proof
% 190.86/190.89 %ClaNum:23(EqnAxiom:0)
% 190.86/190.89 %VarNum:114(SingletonVarNum:50)
% 190.86/190.89 %MaxLitNum:6
% 190.86/190.89 %MaxfuncDepth:1
% 190.86/190.89 %SharedTerms:6
% 190.86/190.89 %goalClause: 1 2 3
% 190.86/190.89 %singleGoalClaCount:3
% 190.86/190.89 [1]P1(a1,a3)
% 190.86/190.89 [2]~P1(a2,a1)
% 190.86/190.89 [3]~P1(a2,a3)
% 190.86/190.89 [4]~P3(x41,x41)
% 190.86/190.89 [5]~P4(x51,x51)
% 190.86/190.89 [6]~P1(x61,x61)
% 190.86/190.89 [7]P5(x71,x72)+P1(x71,x72)
% 190.86/190.89 [8]~P1(x81,x82)+P4(x81,x82)
% 190.86/190.89 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 190.86/190.89 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 190.86/190.89 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 190.86/190.89 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 190.86/190.89 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 190.86/190.89 [14]~P1(x143,x142)+P5(x141,x142)+P5(x141,x143)
% 190.86/190.89 [19]~P1(x192,x193)+~P2(x191,x193)+P3(x191,f4(x192,x193))
% 190.86/190.89 [20]~P1(x202,x203)+~P2(x201,x202)+P3(x201,f4(x202,x203))
% 190.86/190.89 [21]P3(x211,x212)+~P3(x213,x212)+~P2(x211,f5(x213,x212))
% 190.86/190.89 [22]P3(x221,x222)+~P3(x222,x223)+~P2(x221,f5(x222,x223))
% 190.86/190.89 [15]~P1(x152,x153)+~P5(x152,x153)+P1(x151,x152)+P1(x151,x153)
% 190.86/190.89 [16]~P1(x162,x163)+~P5(x162,x163)+P1(x161,x162)+P5(x161,x163)
% 190.86/190.89 [17]~P1(x173,x172)+~P5(x173,x172)+P1(x171,x172)+P5(x171,x173)
% 190.86/190.89 [23]P2(x234,x233)+~P3(x234,x231)+~P4(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 190.86/190.89 %EqnAxiom
% 190.86/190.89
% 190.86/190.89 %-------------------------------------------
% 190.86/190.89 cnf(775,plain,
% 190.86/190.89 (~P5(a1,a2)+~P1(a1,a2)),
% 190.86/190.89 inference(scs_inference,[],[5,2,8,15])).
% 190.86/190.89 cnf(776,plain,
% 190.86/190.89 (P1(a3,a2)+~P5(a1,a2)),
% 190.86/190.89 inference(scs_inference,[],[1,775,13])).
% 190.86/190.89 cnf(780,plain,
% 190.86/190.89 (~P1(a3,a2)),
% 190.86/190.89 inference(scs_inference,[],[3,6,13])).
% 190.86/190.89 cnf(784,plain,
% 190.86/190.89 (P1(a1,a2)),
% 190.86/190.89 inference(scs_inference,[],[3,6,13,776,7])).
% 190.86/190.89 cnf(796,plain,
% 190.86/190.89 ($false),
% 190.86/190.89 inference(scs_inference,[],[784,780,2,6,4,8,7,19,13]),
% 190.86/190.89 ['proof']).
% 190.86/190.89 % SZS output end Proof
% 190.86/190.89 % Total time :190.210000s
%------------------------------------------------------------------------------