%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO209+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 : 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 : Mon Jun 24 06:04:33 EDT 2024
% Result : Theorem 0.56s 0.66s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO209+1 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 10:39:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.57 start to proof:theBenchmark
% 0.56/0.65 %-------------------------------------------
% 0.56/0.65 % File :CSE---1.7
% 0.56/0.65 % Problem :theBenchmark
% 0.56/0.65 % Transform :cnf
% 0.56/0.65 % Format :tptp:raw
% 0.56/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.65
% 0.56/0.65 % Result :Theorem 0.030000s
% 0.56/0.65 % Output :CNFRefutation 0.030000s
% 0.56/0.65 %-------------------------------------------
% 0.56/0.66 %------------------------------------------------------------------------------
% 0.56/0.66 % File : GEO209+1 : TPTP v8.2.0. Released v3.3.0.
% 0.56/0.66 % Domain : Geometry (Constructive)
% 0.56/0.66 % Problem : Pont and three parallel lines
% 0.56/0.66 % Version : [vPl95] axioms : Especial.
% 0.56/0.66 % English : If the point A is apart from the line L, but incident with the
% 0.56/0.66 % lines M and N, and L is parallel to M and N, then M and N are
% 0.56/0.66 % equal.
% 0.56/0.66
% 0.56/0.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.66 % Source : [ILTP]
% 0.56/0.66 % Names : Theorem 7.4 [vPl95]
% 0.56/0.66
% 0.56/0.66 % Status : Theorem
% 0.56/0.66 % 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
% 0.56/0.66 % Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% 0.56/0.66 % Number of atoms : 47 ( 0 equ)
% 0.56/0.66 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.66 % Number of connectives : 43 ( 14 ~; 11 |; 5 &)
% 0.56/0.66 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.56/0.66 % Maximal formula depth : 11 ( 6 avg)
% 0.56/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.66 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.56/0.66 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.56/0.66 % Number of variables : 44 ( 44 !; 0 ?)
% 0.56/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.66
% 0.56/0.66 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.66 %------------------------------------------------------------------------------
% 0.56/0.66 include('Axioms/GEO006+0.ax').
% 0.56/0.66 include('Axioms/GEO006+2.ax').
% 0.56/0.66 %------------------------------------------------------------------------------
% 0.56/0.66 fof(con,conjecture,
% 0.56/0.66 ! [A,L,M,N] :
% 0.56/0.66 ( ( apart_point_and_line(A,L)
% 0.56/0.66 & ~ apart_point_and_line(A,M)
% 0.56/0.66 & ~ apart_point_and_line(A,N)
% 0.56/0.66 & ~ convergent_lines(M,L)
% 0.56/0.66 & ~ convergent_lines(N,L) )
% 0.56/0.66 => ~ distinct_lines(M,N) ) ).
% 0.56/0.66
% 0.56/0.66 %------------------------------------------------------------------------------
% 0.56/0.66 %-------------------------------------------
% 0.56/0.66 % Proof found
% 0.56/0.66 % SZS status Theorem for theBenchmark
% 0.56/0.66 % SZS output start Proof
% 0.56/0.67 %ClaNum:23(EqnAxiom:0)
% 0.56/0.67 %VarNum:88(SingletonVarNum:40)
% 0.56/0.67 %MaxLitNum:6
% 0.56/0.67 %MaxfuncDepth:1
% 0.56/0.67 %SharedTerms:10
% 0.56/0.67 %goalClause: 1 2 3 4 5 6
% 0.56/0.67 %singleGoalClaCount:6
% 0.56/0.67 [1]P1(a1,a4)
% 0.56/0.67 [2]P2(a2,a3)
% 0.56/0.67 [3]~P3(a1,a3)
% 0.56/0.67 [4]~P3(a4,a3)
% 0.56/0.67 [5]~P2(a2,a1)
% 0.56/0.67 [6]~P2(a2,a4)
% 0.56/0.67 [7]~P4(x71,x71)
% 0.56/0.67 [8]~P1(x81,x81)
% 0.56/0.67 [9]~P3(x91,x91)
% 0.56/0.67 [10]~P2(x101,f5(x102,x101))
% 0.56/0.67 [11]~P3(f5(x111,x112),x111)
% 0.56/0.67 [19]~P4(x191,x192)+~P2(x192,f6(x191,x192))
% 0.56/0.67 [20]~P4(x201,x202)+~P2(x201,f6(x201,x202))
% 0.56/0.67 [21]~P3(x211,x212)+~P2(f7(x211,x212),x212)
% 0.56/0.67 [22]~P3(x221,x222)+~P2(f7(x221,x222),x221)
% 0.56/0.67 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.56/0.67 [13]~P2(x131,x133)+P4(x131,x132)+P2(x132,x133)
% 0.56/0.67 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 0.56/0.67 [15]~P3(x153,x151)+P1(x151,x152)+P3(x153,x152)
% 0.56/0.67 [16]~P2(x163,x161)+P1(x161,x162)+P2(x163,x162)
% 0.56/0.67 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 0.56/0.67 [18]P2(x183,x181)+~P1(x181,x182)+P3(x181,x182)+P2(x183,x182)
% 0.56/0.67 [23]P2(x234,x233)+~P4(x234,x231)+~P1(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 0.56/0.67 %EqnAxiom
% 0.56/0.67
% 0.56/0.67 %-------------------------------------------
% 0.56/0.67 cnf(29,plain,
% 0.56/0.67 (~P3(a3,a1)),
% 0.56/0.67 inference(scs_inference,[],[1,2,3,5,8,9,14,16,17])).
% 0.56/0.67 cnf(32,plain,
% 0.56/0.67 (~P1(f5(a1,a2),a1)),
% 0.56/0.67 inference(scs_inference,[],[1,2,3,5,8,9,10,11,14,16,17,18])).
% 0.56/0.67 cnf(38,plain,
% 0.56/0.67 (~P3(a3,a4)),
% 0.56/0.67 inference(scs_inference,[],[4,32,29,9,15,17])).
% 0.56/0.67 cnf(43,plain,
% 0.56/0.67 (~P1(f5(a4,a2),a4)),
% 0.56/0.67 inference(scs_inference,[],[4,6,2,32,29,9,10,11,15,17,16,18])).
% 0.56/0.67 cnf(50,plain,
% 0.56/0.67 (~P2(x501,f5(x502,x501))),
% 0.56/0.67 inference(rename_variables,[],[10])).
% 0.56/0.67 cnf(52,plain,
% 0.56/0.67 (~P3(f5(a3,x521),a1)),
% 0.56/0.67 inference(scs_inference,[],[3,2,43,38,10,11,15,16,17])).
% 0.56/0.67 cnf(55,plain,
% 0.56/0.67 (~P1(f5(a3,a2),a1)),
% 0.56/0.67 inference(scs_inference,[],[3,5,2,43,38,10,50,11,15,16,17,18])).
% 0.56/0.67 cnf(63,plain,
% 0.56/0.67 (~P1(f5(a3,a2),a4)),
% 0.56/0.67 inference(scs_inference,[],[4,6,55,52,10,11,15,17,18])).
% 0.56/0.67 cnf(70,plain,
% 0.56/0.67 (P2(a2,f5(a3,x701))+~P1(f5(a3,x701),f5(a1,a2))),
% 0.56/0.67 inference(scs_inference,[],[32,52,10,15,18])).
% 0.56/0.67 cnf(77,plain,
% 0.56/0.67 (~P2(x771,f5(x772,x771))),
% 0.56/0.67 inference(rename_variables,[],[10])).
% 0.56/0.67 cnf(85,plain,
% 0.56/0.67 (P1(a4,f5(a3,a2))),
% 0.56/0.67 inference(scs_inference,[],[1,5,55,9,10,77,70,15,18,14])).
% 0.56/0.67 cnf(90,plain,
% 0.56/0.67 ($false),
% 0.56/0.67 inference(scs_inference,[],[6,63,85,9,10,15,18]),
% 0.56/0.67 ['proof']).
% 0.56/0.67 % SZS output end Proof
% 0.56/0.67 % Total time :0.030000s
%------------------------------------------------------------------------------