%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO209+2 : 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 : n017.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 06:04:34 EDT 2024
% Result : Theorem 0.72s 0.80s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO209+2 : TPTP v8.2.0. Released v3.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 06:25:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.72/0.80 %-------------------------------------------
% 0.72/0.80 % File :CSE---1.7
% 0.72/0.80 % Problem :theBenchmark
% 0.72/0.80 % Transform :cnf
% 0.72/0.80 % Format :tptp:raw
% 0.72/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.80
% 0.72/0.80 % Result :Theorem 0.190000s
% 0.72/0.80 % Output :CNFRefutation 0.190000s
% 0.72/0.80 %-------------------------------------------
% 0.72/0.80 %------------------------------------------------------------------------------
% 0.72/0.80 % File : GEO209+2 : TPTP v8.2.0. Released v3.3.0.
% 0.72/0.80 % Domain : Geometry (Constructive)
% 0.72/0.80 % Problem : Pont and three parallel lines
% 0.72/0.80 % Version : [vPl95] axioms : Reduced > Especial.
% 0.72/0.80 % English : If the point A is apart from the line L, but incident with the
% 0.72/0.80 % lines M and N, and L is parallel to M and N, then M and N are
% 0.72/0.80 % equal.
% 0.72/0.80
% 0.72/0.80 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.72/0.80 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.72/0.80 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.72/0.80 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.72/0.80 % Source : [ILTP]
% 0.72/0.80 % Names :
% 0.72/0.80
% 0.72/0.80 % Status : Theorem
% 0.72/0.80 % 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
% 0.72/0.80 % Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% 0.72/0.80 % Number of atoms : 46 ( 0 equ)
% 0.72/0.80 % Maximal formula atoms : 6 ( 2 avg)
% 0.72/0.80 % Number of connectives : 40 ( 10 ~; 11 |; 6 &)
% 0.72/0.80 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.72/0.80 % Maximal formula depth : 11 ( 6 avg)
% 0.72/0.80 % Maximal term depth : 2 ( 1 avg)
% 0.72/0.80 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.72/0.80 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.72/0.80 % Number of variables : 41 ( 41 !; 0 ?)
% 0.72/0.80 % SPC : FOF_THM_RFO_NEQ
% 0.72/0.80
% 0.72/0.80 % Comments : Definitions unfolded, hence Especial.
% 0.72/0.80 %------------------------------------------------------------------------------
% 0.72/0.80 include('Axioms/GEO008+0.ax').
% 0.72/0.80 include('Axioms/GEO006+2.ax').
% 0.72/0.80 %------------------------------------------------------------------------------
% 0.72/0.80 fof(con,conjecture,
% 0.72/0.80 ! [A,L,M,N] :
% 0.72/0.80 ( ( apart_point_and_line(A,L)
% 0.72/0.80 & ~ apart_point_and_line(A,M)
% 0.72/0.80 & ~ apart_point_and_line(A,N)
% 0.72/0.80 & ~ convergent_lines(M,L)
% 0.72/0.80 & ~ convergent_lines(N,L) )
% 0.72/0.80 => ~ distinct_lines(M,N) ) ).
% 0.72/0.80
% 0.72/0.80 %------------------------------------------------------------------------------
% 0.72/0.80 %-------------------------------------------
% 0.72/0.80 % Proof found
% 0.72/0.80 % SZS status Theorem for theBenchmark
% 0.72/0.80 % SZS output start Proof
% 0.72/0.80 %ClaNum:23(EqnAxiom:0)
% 0.72/0.80 %VarNum:94(SingletonVarNum:43)
% 0.72/0.80 %MaxLitNum:6
% 0.72/0.80 %MaxfuncDepth:1
% 0.72/0.80 %SharedTerms:10
% 0.72/0.80 %goalClause: 1 2 3 4 5 6
% 0.72/0.80 %singleGoalClaCount:6
% 0.72/0.80 [1]P1(a1,a4)
% 0.72/0.80 [2]P2(a2,a3)
% 0.72/0.80 [3]~P3(a1,a3)
% 0.72/0.80 [4]~P3(a4,a3)
% 0.72/0.80 [5]~P2(a2,a1)
% 0.72/0.80 [6]~P2(a2,a4)
% 0.72/0.80 [7]~P4(x71,x71)
% 0.72/0.80 [8]~P1(x81,x81)
% 0.72/0.80 [9]~P3(x91,x91)
% 0.72/0.80 [10]~P2(x101,f5(x102,x101))
% 0.72/0.80 [11]~P3(f5(x111,x112),x111)
% 0.72/0.80 [12]~P3(x121,x122)+P1(x121,x122)
% 0.72/0.80 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.72/0.80 [14]~P2(x141,x143)+P4(x141,x142)+P2(x142,x143)
% 0.72/0.80 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 0.72/0.80 [16]~P2(x163,x161)+P1(x161,x162)+P2(x163,x162)
% 0.72/0.80 [17]~P3(x173,x171)+P3(x171,x172)+P3(x173,x172)
% 0.72/0.80 [19]~P3(x192,x193)+~P2(x191,x193)+P4(x191,f6(x192,x193))
% 0.72/0.80 [20]~P3(x202,x203)+~P2(x201,x202)+P4(x201,f6(x202,x203))
% 0.72/0.80 [21]P4(x211,x212)+~P4(x213,x212)+~P2(x211,f7(x213,x212))
% 0.72/0.80 [22]P4(x221,x222)+~P4(x222,x223)+~P2(x221,f7(x222,x223))
% 0.72/0.80 [18]P2(x183,x181)+~P1(x181,x182)+P3(x181,x182)+P2(x183,x182)
% 0.72/0.80 [23]P2(x234,x233)+~P4(x234,x231)+~P1(x233,x232)+P2(x231,x232)+P2(x231,x233)+P2(x234,x232)
% 0.72/0.80 %EqnAxiom
% 0.72/0.80
% 0.72/0.80 %-------------------------------------------
% 0.72/0.81 cnf(24,plain,
% 0.72/0.81 (P1(a4,a1)),
% 0.72/0.81 inference(scs_inference,[],[1,8,15])).
% 0.72/0.81 cnf(27,plain,
% 0.72/0.81 (P1(a3,a1)),
% 0.72/0.81 inference(scs_inference,[],[1,2,5,8,15,16])).
% 0.72/0.81 cnf(36,plain,
% 0.72/0.81 (~P3(x361,x362)+~P2(f6(x361,x362),x362)),
% 0.72/0.81 inference(scs_inference,[],[1,2,3,5,7,8,9,10,11,15,16,17,18,19])).
% 0.72/0.81 cnf(37,plain,
% 0.72/0.81 (~P4(x371,x371)),
% 0.72/0.81 inference(rename_variables,[],[7])).
% 0.72/0.81 cnf(39,plain,
% 0.72/0.81 (~P3(x391,x392)+~P2(f6(x391,x392),x391)),
% 0.72/0.81 inference(scs_inference,[],[1,2,3,5,7,37,8,9,10,11,15,16,17,18,19,20])).
% 0.72/0.81 cnf(47,plain,
% 0.72/0.81 (~P1(f5(a4,a2),a4)),
% 0.72/0.81 inference(scs_inference,[],[6,4,2,9,10,11,16,17,18])).
% 0.72/0.81 cnf(51,plain,
% 0.72/0.81 (~P3(f5(a3,x511),a1)),
% 0.72/0.81 inference(scs_inference,[],[3,11,17])).
% 0.72/0.81 cnf(55,plain,
% 0.72/0.81 (~P2(x551,f5(x552,x551))),
% 0.72/0.81 inference(rename_variables,[],[10])).
% 0.72/0.81 cnf(57,plain,
% 0.72/0.81 (~P1(f5(a3,a2),a1)),
% 0.72/0.81 inference(scs_inference,[],[5,3,2,10,55,11,17,16,18])).
% 0.72/0.81 cnf(63,plain,
% 0.72/0.81 (~P1(f5(a3,a2),a4)),
% 0.72/0.81 inference(scs_inference,[],[6,4,10,11,17,18])).
% 0.72/0.81 cnf(67,plain,
% 0.72/0.81 (~P3(a1,x671)+~P2(f6(a1,x671),f5(a3,a2))),
% 0.72/0.81 inference(scs_inference,[],[57,39,16])).
% 0.72/0.81 cnf(73,plain,
% 0.72/0.81 (~P2(f6(a1,a4),f5(a3,a2))),
% 0.72/0.81 inference(scs_inference,[],[6,5,1,67,18])).
% 0.72/0.81 cnf(78,plain,
% 0.72/0.81 (~P2(f6(x781,a3),a3)+~P3(a4,x781)),
% 0.72/0.81 inference(scs_inference,[],[4,36,17])).
% 0.72/0.81 cnf(79,plain,
% 0.72/0.81 (~P2(f6(a1,a3),a3)),
% 0.72/0.81 inference(scs_inference,[],[5,6,24,78,18])).
% 0.72/0.81 cnf(100,plain,
% 0.72/0.81 (~P3(x1001,f5(x1001,x1002))),
% 0.72/0.81 inference(scs_inference,[],[11,9,17])).
% 0.72/0.81 cnf(106,plain,
% 0.72/0.81 (P1(a4,f5(a1,a2))),
% 0.72/0.81 inference(scs_inference,[],[11,5,1,10,9,17,18,15])).
% 0.72/0.81 cnf(116,plain,
% 0.72/0.81 (P1(f5(a1,a2),f5(a4,a2))),
% 0.72/0.81 inference(scs_inference,[],[11,6,106,10,100,17,18,15])).
% 0.72/0.81 cnf(140,plain,
% 0.72/0.81 (P2(f6(a1,a3),a1)),
% 0.72/0.81 inference(scs_inference,[],[27,3,8,79,15,18])).
% 0.72/0.81 cnf(172,plain,
% 0.72/0.81 (~P1(a1,f5(a3,a2))),
% 0.72/0.81 inference(scs_inference,[],[51,5,10,9,17,18])).
% 0.72/0.81 cnf(183,plain,
% 0.72/0.81 (P4(f6(a1,a3),f6(a1,a4))),
% 0.72/0.81 inference(scs_inference,[],[51,140,172,73,11,16,17,14])).
% 0.72/0.81 cnf(185,plain,
% 0.72/0.81 (P2(x1851,f5(a1,x1852))+~P1(f5(a1,x1852),f5(a3,x1851))),
% 0.72/0.81 inference(scs_inference,[],[51,140,172,10,73,11,16,17,14,18])).
% 0.72/0.81 cnf(190,plain,
% 0.72/0.81 (~P1(f5(a1,x1901),f5(a3,x1901))),
% 0.72/0.81 inference(scs_inference,[],[10,7,185,14])).
% 0.72/0.81 cnf(194,plain,
% 0.72/0.81 (P1(f5(a4,a2),f5(a3,a2))),
% 0.72/0.81 inference(scs_inference,[],[190,183,116,7,13,15])).
% 0.72/0.81 cnf(198,plain,
% 0.72/0.81 ($false),
% 0.72/0.81 inference(scs_inference,[],[63,47,194,15]),
% 0.72/0.81 ['proof']).
% 0.72/0.81 % SZS output end Proof
% 0.72/0.81 % Total time :0.190000s
%------------------------------------------------------------------------------