%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO226+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 06:04:44 EDT 2024
% Result : Theorem 0.45s 0.57s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO226+1 : TPTP v8.2.0. Released v3.3.0.
% 0.05/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.29 % Computer : n028.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Fri Jun 21 09:16:23 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.52 start to proof:theBenchmark
% 0.45/0.56 %-------------------------------------------
% 0.45/0.56 % File :CSE---1.7
% 0.45/0.56 % Problem :theBenchmark
% 0.45/0.56 % Transform :cnf
% 0.45/0.56 % Format :tptp:raw
% 0.45/0.56 % Command :java -jar mcs_scs.jar %d %s
% 0.45/0.56
% 0.45/0.56 % Result :Theorem 0.010000s
% 0.45/0.56 % Output :CNFRefutation 0.010000s
% 0.45/0.56 %-------------------------------------------
% 0.45/0.57 %------------------------------------------------------------------------------
% 0.45/0.57 % File : GEO226+1 : TPTP v8.2.0. Released v3.3.0.
% 0.45/0.57 % Domain : Geometry (Constructive)
% 0.45/0.57 % Problem : Existence of point incident to line
% 0.45/0.57 % Version : [vPl95] axioms : Especial.
% 0.45/0.57 % English : Assume orthogonal geometry. Given a point and a line, to find
% 0.45/0.57 % a point incident with the line.
% 0.45/0.57
% 0.45/0.57 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.45/0.57 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.45/0.57 % Source : [ILTP]
% 0.45/0.57 % Names :
% 0.45/0.57
% 0.45/0.57 % Status : Theorem
% 0.45/0.57 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 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, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 0.45/0.57 % Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% 0.45/0.57 % Number of atoms : 55 ( 0 equ)
% 0.45/0.57 % Maximal formula atoms : 6 ( 2 avg)
% 0.45/0.57 % Number of connectives : 45 ( 9 ~; 9 |; 10 &)
% 0.45/0.57 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 0.45/0.57 % Maximal formula depth : 9 ( 5 avg)
% 0.45/0.57 % Maximal term depth : 2 ( 1 avg)
% 0.45/0.57 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.45/0.57 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.45/0.57 % Number of variables : 44 ( 43 !; 1 ?)
% 0.45/0.57 % SPC : FOF_THM_RFO_NEQ
% 0.45/0.57
% 0.45/0.57 % Comments : Definitions unfolded, hence Especial.
% 0.45/0.57 %------------------------------------------------------------------------------
% 0.45/0.57 include('Axioms/GEO006+0.ax').
% 0.45/0.57 include('Axioms/GEO006+5.ax').
% 0.45/0.57 %------------------------------------------------------------------------------
% 0.45/0.57 fof(con,conjecture,
% 0.45/0.57 ! [L,M] :
% 0.45/0.57 ( ( line(L)
% 0.45/0.57 & line(M)
% 0.45/0.57 & convergent_lines(L,M) )
% 0.45/0.57 => ? [X] :
% 0.45/0.57 ( point(X)
% 0.45/0.57 => ( ~ apart_point_and_line(X,L)
% 0.45/0.57 & ~ apart_point_and_line(X,M) ) ) ) ).
% 0.45/0.57
% 0.45/0.57 %------------------------------------------------------------------------------
% 0.45/0.57 %-------------------------------------------
% 0.45/0.57 % Proof found
% 0.45/0.57 % SZS status Theorem for theBenchmark
% 0.45/0.57 % SZS output start Proof
% 0.45/0.57 %ClaNum:21(EqnAxiom:0)
% 0.45/0.57 %VarNum:86(SingletonVarNum:40)
% 0.45/0.57 %MaxLitNum:6
% 0.45/0.57 %MaxfuncDepth:1
% 0.45/0.57 %SharedTerms:5
% 0.45/0.57 %goalClause: 1 2 3 7 8 9 16
% 0.45/0.57 %singleGoalClaCount:3
% 0.45/0.57 [1]P1(a1)
% 0.45/0.57 [2]P1(a2)
% 0.45/0.57 [3]P2(a1,a2)
% 0.45/0.57 [4]~P4(x41,x41)
% 0.45/0.57 [5]~P5(x51,x51)
% 0.45/0.57 [6]~P2(x61,x61)
% 0.45/0.57 [7]P3(x71,a2)+P3(x71,a1)
% 0.45/0.57 [8]~P1(x81)+P1(f3(x81,x82))
% 0.45/0.57 [9]~P1(x91)+P1(f4(x91,x92))
% 0.45/0.57 [16]~P4(x161,x162)+P1(f5(x161,x162))
% 0.45/0.57 [17]~P4(x171,x172)+~P3(x172,f5(x171,x172))
% 0.45/0.57 [18]~P4(x181,x182)+~P3(x181,f5(x181,x182))
% 0.45/0.57 [19]~P2(x191,x192)+~P3(f6(x191,x192),x192)
% 0.45/0.57 [20]~P2(x201,x202)+~P3(f6(x201,x202),x201)
% 0.45/0.57 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.45/0.57 [11]~P3(x111,x113)+P4(x111,x112)+P3(x112,x113)
% 0.45/0.57 [12]~P5(x123,x121)+P5(x121,x122)+P5(x123,x122)
% 0.45/0.57 [13]~P2(x133,x131)+P5(x131,x132)+P2(x133,x132)
% 0.45/0.57 [14]~P3(x143,x141)+P5(x141,x142)+P3(x143,x142)
% 0.45/0.57 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 0.45/0.57 [21]P3(x214,x213)+~P4(x214,x211)+~P5(x213,x212)+P3(x211,x212)+P3(x211,x213)+P3(x214,x212)
% 0.45/0.57 %EqnAxiom
% 0.45/0.57
% 0.45/0.57 %-------------------------------------------
% 0.45/0.58 cnf(23,plain,
% 0.45/0.58 (~P2(x231,x231)),
% 0.45/0.58 inference(rename_variables,[],[6])).
% 0.45/0.58 cnf(25,plain,
% 0.45/0.58 (P2(a2,a1)),
% 0.45/0.58 inference(scs_inference,[],[3,6,23,13,15])).
% 0.45/0.58 cnf(31,plain,
% 0.45/0.58 (P3(f6(a2,a1),a2)),
% 0.45/0.58 inference(scs_inference,[],[25,7,19])).
% 0.45/0.58 cnf(32,plain,
% 0.45/0.58 ($false),
% 0.45/0.58 inference(scs_inference,[],[31,25,20]),
% 0.45/0.58 ['proof']).
% 0.45/0.58 % SZS output end Proof
% 0.45/0.58 % Total time :0.010000s
%------------------------------------------------------------------------------