TSTP Solution File: GEO209+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO209+1 : 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 : n015.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 22:43:41 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO209+1 : 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
% 0.17/0.35 % Computer : n015.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Wed Aug 30 00:20:26 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.000000s
% 0.20/0.63 % Output :CNFRefutation 0.000000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : GEO209+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.63 % Domain : Geometry (Constructive)
% 0.20/0.63 % Problem : Pont and three parallel lines
% 0.20/0.63 % Version : [vPl95] axioms : Especial.
% 0.20/0.63 % English : If the point A is apart from the line L, but incident with the
% 0.20/0.63 % lines M and N, and L is parallel to M and N, then M and N are
% 0.20/0.63 % equal.
% 0.20/0.63
% 0.20/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.63 % Source : [ILTP]
% 0.20/0.63 % Names : Theorem 7.4 [vPl95]
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % 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
% 0.20/0.63 % Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% 0.20/0.63 % Number of atoms : 47 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.63 % Number of connectives : 43 ( 14 ~; 11 |; 5 &)
% 0.20/0.63 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.20/0.63 % Maximal formula depth : 11 ( 6 avg)
% 0.20/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.63 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.63 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.20/0.63 % Number of variables : 44 ( 44 !; 0 ?)
% 0.20/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.63
% 0.20/0.63 % Comments : Definitions unfolded, hence Especial.
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 include('Axioms/GEO006+0.ax').
% 0.20/0.63 include('Axioms/GEO006+2.ax').
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 fof(con,conjecture,
% 0.20/0.63 ! [A,L,M,N] :
% 0.20/0.63 ( ( apart_point_and_line(A,L)
% 0.20/0.63 & ~ apart_point_and_line(A,M)
% 0.20/0.63 & ~ apart_point_and_line(A,N)
% 0.20/0.63 & ~ convergent_lines(M,L)
% 0.20/0.63 & ~ convergent_lines(N,L) )
% 0.20/0.63 => ~ distinct_lines(M,N) ) ).
% 0.20/0.63
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof
% 0.20/0.63 %ClaNum:23(EqnAxiom:0)
% 0.20/0.63 %VarNum:88(SingletonVarNum:40)
% 0.20/0.63 %MaxLitNum:6
% 0.20/0.63 %MaxfuncDepth:1
% 0.20/0.63 %SharedTerms:10
% 0.20/0.63 %goalClause: 1 2 3 4 5 6
% 0.20/0.63 %singleGoalClaCount:6
% 0.20/0.63 [1]P1(a1,a4)
% 0.20/0.63 [2]P2(a2,a3)
% 0.20/0.63 [3]~P3(a1,a3)
% 0.20/0.63 [4]~P3(a4,a3)
% 0.20/0.63 [5]~P2(a2,a1)
% 0.20/0.63 [6]~P2(a2,a4)
% 0.20/0.63 [7]~P4(x71,x71)
% 0.20/0.63 [8]~P1(x81,x81)
% 0.20/0.63 [9]~P3(x91,x91)
% 0.20/0.63 [10]~P2(x101,f5(x102,x101))
% 0.20/0.63 [11]~P3(f5(x111,x112),x111)
% 0.20/0.63 [19]~P4(x191,x192)+~P2(x192,f6(x191,x192))
% 0.20/0.63 [20]~P4(x201,x202)+~P2(x201,f6(x201,x202))
% 0.20/0.63 [21]~P3(x211,x212)+~P2(f7(x211,x212),x212)
% 0.20/0.63 [22]~P3(x221,x222)+~P2(f7(x221,x222),x221)
% 0.20/0.63 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.20/0.63 [13]~P2(x131,x133)+P4(x131,x132)+P2(x132,x133)
% 0.20/0.63 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 0.20/0.63 [15]~P3(x153,x151)+P1(x151,x152)+P3(x153,x152)
% 0.20/0.63 [16]~P2(x163,x161)+P1(x161,x162)+P2(x163,x162)
% 0.20/0.63 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 0.20/0.63 [18]P2(x183,x181)+~P1(x181,x182)+P3(x181,x182)+P2(x183,x182)
% 0.20/0.63 [23]P2(x234,x233)+~P4(x234,x231)+~P1(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 0.20/0.63 %EqnAxiom
% 0.20/0.63
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 cnf(25,plain,
% 0.20/0.63 (P1(a4,a1)),
% 0.20/0.64 inference(scs_inference,[],[1,8,2,5,16,14])).
% 0.20/0.64 cnf(36,plain,
% 0.20/0.64 (P3(a4,a1)),
% 0.20/0.64 inference(scs_inference,[],[3,6,9,5,25,17,18])).
% 0.20/0.64 cnf(44,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[3,4,36,17]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.000000s
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