%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO225+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 : 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 06:04:44 EDT 2024
% Result : Theorem 0.42s 0.63s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO225+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.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 07:02:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.42/0.59 start to proof:theBenchmark
% 0.42/0.63 %-------------------------------------------
% 0.42/0.63 % File :CSE---1.7
% 0.42/0.63 % Problem :theBenchmark
% 0.42/0.63 % Transform :cnf
% 0.42/0.63 % Format :tptp:raw
% 0.42/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.42/0.63
% 0.42/0.63 % Result :Theorem 0.000000s
% 0.42/0.63 % Output :CNFRefutation 0.000000s
% 0.42/0.63 %-------------------------------------------
% 0.42/0.63 %------------------------------------------------------------------------------
% 0.42/0.63 % File : GEO225+2 : TPTP v8.2.0. Released v3.3.0.
% 0.42/0.63 % Domain : Geometry (Constructive)
% 0.42/0.63 % Problem : Existence of line joining distinct points
% 0.42/0.63 % Version : [vPl95] axioms : Reduced > Especial.
% 0.42/0.63 % English : Assume orthogonal geometry. Given a point and a line, to find
% 0.42/0.63 % a point incident with the line.
% 0.42/0.63
% 0.42/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.42/0.63 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.42/0.63 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.42/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.42/0.63 % Source : [ILTP]
% 0.42/0.63 % Names :
% 0.42/0.63
% 0.42/0.63 % Status : Theorem
% 0.42/0.63 % Rating : 0.06 v8.2.0, 0.07 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.15 v6.2.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 0.42/0.63 % Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% 0.42/0.63 % Number of atoms : 54 ( 0 equ)
% 0.42/0.63 % Maximal formula atoms : 6 ( 3 avg)
% 0.42/0.63 % Number of connectives : 42 ( 5 ~; 9 |; 11 &)
% 0.42/0.63 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 0.42/0.63 % Maximal formula depth : 9 ( 6 avg)
% 0.42/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.42/0.63 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.42/0.63 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.42/0.63 % Number of variables : 41 ( 40 !; 1 ?)
% 0.42/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.42/0.63
% 0.42/0.63 % Comments : Definitions unfolded, hence Especial.
% 0.42/0.63 %------------------------------------------------------------------------------
% 0.42/0.63 include('Axioms/GEO008+0.ax').
% 0.42/0.63 include('Axioms/GEO006+5.ax').
% 0.42/0.63 %------------------------------------------------------------------------------
% 0.42/0.63 fof(con,conjecture,
% 0.42/0.63 ! [A,B] :
% 0.42/0.63 ( ( point(A)
% 0.42/0.63 & point(B)
% 0.42/0.63 & distinct_points(A,B) )
% 0.42/0.63 => ? [X] :
% 0.42/0.63 ( line(X)
% 0.42/0.63 => ( ~ apart_point_and_line(A,X)
% 0.42/0.63 & ~ apart_point_and_line(B,X) ) ) ) ).
% 0.42/0.63
% 0.42/0.63 %------------------------------------------------------------------------------
% 0.42/0.63 %-------------------------------------------
% 0.42/0.63 % Proof found
% 0.42/0.63 % SZS status Theorem for theBenchmark
% 0.42/0.63 % SZS output start Proof
% 0.57/0.63 %ClaNum:19(EqnAxiom:0)
% 0.57/0.63 %VarNum:86(SingletonVarNum:39)
% 0.57/0.63 %MaxLitNum:6
% 0.57/0.63 %MaxfuncDepth:1
% 0.57/0.63 %SharedTerms:5
% 0.57/0.63 %goalClause: 1 2 3 7 14
% 0.57/0.63 %singleGoalClaCount:3
% 0.57/0.63 [1]P1(a1)
% 0.57/0.63 [2]P1(a2)
% 0.57/0.63 [3]P2(a1,a2)
% 0.57/0.63 [4]~P2(x41,x41)
% 0.57/0.63 [5]~P3(x51,x51)
% 0.57/0.63 [6]~P4(x61,x61)
% 0.57/0.63 [7]P5(a2,x71)+P5(a1,x71)
% 0.57/0.63 [8]~P4(x81,x82)+P3(x81,x82)
% 0.57/0.63 [14]~P4(x141,x142)+P1(f3(x141,x142))
% 0.57/0.63 [9]~P2(x93,x91)+P2(x91,x92)+P2(x93,x92)
% 0.57/0.63 [10]~P5(x101,x103)+P2(x101,x102)+P5(x102,x103)
% 0.57/0.63 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 0.57/0.63 [12]~P5(x123,x121)+P3(x121,x122)+P5(x123,x122)
% 0.57/0.63 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.57/0.63 [15]~P4(x152,x153)+~P5(x151,x153)+P2(x151,f3(x152,x153))
% 0.57/0.63 [16]~P4(x162,x163)+~P5(x161,x162)+P2(x161,f3(x162,x163))
% 0.57/0.63 [17]P2(x171,x172)+~P2(x173,x172)+~P5(x171,f4(x173,x172))
% 0.57/0.63 [18]P2(x181,x182)+~P2(x182,x183)+~P5(x181,f4(x182,x183))
% 0.57/0.63 [19]P5(x194,x193)+~P2(x194,x191)+~P3(x193,x192)+P5(x191,x192)+P5(x191,x193)+P5(x194,x192)
% 0.57/0.63 %EqnAxiom
% 0.57/0.63
% 0.57/0.63 %-------------------------------------------
% 0.57/0.64 cnf(20,plain,
% 0.57/0.64 (P2(a2,a1)),
% 0.57/0.64 inference(scs_inference,[],[3,4,9])).
% 0.57/0.64 cnf(29,plain,
% 0.57/0.64 (P5(a2,f4(a2,a1))),
% 0.57/0.64 inference(scs_inference,[],[4,20,7,17])).
% 0.57/0.64 cnf(30,plain,
% 0.57/0.64 ($false),
% 0.57/0.64 inference(scs_inference,[],[4,29,20,18]),
% 0.57/0.64 ['proof']).
% 0.57/0.64 % SZS output end Proof
% 0.57/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------