%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO173+2 : 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 : n027.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 06:04:09 EDT 2024
% Result : Theorem 17.18s 17.26s
% Output : CNFRefutation 17.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO173+2 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 08:27:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 17.18/17.26 %-------------------------------------------
% 17.18/17.26 % File :CSE---1.7
% 17.18/17.26 % Problem :theBenchmark
% 17.18/17.26 % Transform :cnf
% 17.18/17.26 % Format :tptp:raw
% 17.18/17.26 % Command :java -jar mcs_scs.jar %d %s
% 17.18/17.26
% 17.18/17.26 % Result :Theorem 16.640000s
% 17.18/17.26 % Output :CNFRefutation 16.640000s
% 17.18/17.26 %-------------------------------------------
% 17.18/17.26 %------------------------------------------------------------------------------
% 17.18/17.26 % File : GEO173+2 : TPTP v8.2.0. Released v3.3.0.
% 17.18/17.26 % Domain : Geometry (Constructive)
% 17.18/17.26 % Problem : Lemma on symmetry and apartness
% 17.18/17.26 % Version : [vPl95] axioms : Reduced > Especial.
% 17.18/17.26 % English : If two points are distinct and a line U is distinct from the
% 17.18/17.26 % line connecting the points, then U is apart from at least one
% 17.18/17.26 % of these points.
% 17.18/17.26
% 17.18/17.26 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 17.18/17.26 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 17.18/17.26 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 17.18/17.26 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 17.18/17.26 % Source : [ILTP]
% 17.18/17.26 % Names :
% 17.18/17.26
% 17.18/17.26 % Status : Theorem
% 17.18/17.26 % 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, 0.00 v3.3.0
% 17.18/17.26 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 17.18/17.26 % Number of atoms : 39 ( 0 equ)
% 17.18/17.26 % Maximal formula atoms : 6 ( 3 avg)
% 17.18/17.26 % Number of connectives : 29 ( 3 ~; 10 |; 4 &)
% 17.18/17.26 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 17.18/17.26 % Maximal formula depth : 9 ( 6 avg)
% 17.18/17.26 % Maximal term depth : 2 ( 1 avg)
% 17.18/17.26 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 17.18/17.26 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 17.18/17.26 % Number of variables : 34 ( 34 !; 0 ?)
% 17.18/17.26 % SPC : FOF_THM_RFO_NEQ
% 17.18/17.26
% 17.18/17.26 % Comments : Definitions unfolded, hence Especial.
% 17.18/17.26 %------------------------------------------------------------------------------
% 17.18/17.26 include('Axioms/GEO008+0.ax').
% 17.18/17.26 %------------------------------------------------------------------------------
% 17.18/17.26 fof(con,conjecture,
% 17.18/17.26 ! [X,Y,U,V] :
% 17.18/17.26 ( ( distinct_points(X,Y)
% 17.18/17.26 & convergent_lines(U,V)
% 17.18/17.26 & distinct_lines(U,line_connecting(X,Y)) )
% 17.18/17.26 => ( apart_point_and_line(X,U)
% 17.18/17.26 | apart_point_and_line(Y,U) ) ) ).
% 17.18/17.26
% 17.18/17.26 %------------------------------------------------------------------------------
% 17.18/17.26 %-------------------------------------------
% 17.18/17.26 % Proof found
% 17.18/17.26 % SZS status Theorem for theBenchmark
% 17.18/17.26 % SZS output start Proof
% 17.18/17.26 %ClaNum:19(EqnAxiom:0)
% 17.18/17.26 %VarNum:80(SingletonVarNum:36)
% 17.18/17.26 %MaxLitNum:6
% 17.18/17.26 %MaxfuncDepth:1
% 17.18/17.26 %SharedTerms:10
% 17.18/17.26 %goalClause: 1 2 3 4 5
% 17.18/17.26 %singleGoalClaCount:5
% 17.18/17.26 [1]P1(a1,a2)
% 17.18/17.26 [2]P2(a3,a4)
% 17.18/17.26 [4]~P3(a1,a3)
% 17.18/17.26 [5]~P3(a2,a3)
% 17.18/17.26 [3]P4(a3,f5(a1,a2))
% 17.18/17.26 [6]~P1(x61,x61)
% 17.18/17.26 [7]~P4(x71,x71)
% 17.18/17.26 [8]~P2(x81,x81)
% 17.18/17.26 [9]~P2(x91,x92)+P4(x91,x92)
% 17.18/17.26 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 17.18/17.26 [11]~P3(x111,x113)+P1(x111,x112)+P3(x112,x113)
% 17.18/17.26 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 17.18/17.26 [13]~P3(x133,x131)+P4(x131,x132)+P3(x133,x132)
% 17.18/17.26 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 17.18/17.26 [15]~P2(x152,x153)+~P3(x151,x153)+P1(x151,f6(x152,x153))
% 17.18/17.26 [16]~P2(x162,x163)+~P3(x161,x162)+P1(x161,f6(x162,x163))
% 17.18/17.26 [17]P1(x171,x172)+~P1(x173,x172)+~P3(x171,f5(x173,x172))
% 17.18/17.27 [18]P1(x181,x182)+~P1(x182,x183)+~P3(x181,f5(x182,x183))
% 17.18/17.27 [19]P3(x194,x193)+~P1(x194,x191)+~P4(x193,x192)+P3(x191,x192)+P3(x191,x193)+P3(x194,x192)
% 17.18/17.27 %EqnAxiom
% 17.18/17.27
% 17.18/17.27 %-------------------------------------------
% 17.21/17.27 cnf(20,plain,
% 17.21/17.27 (P1(a2,a1)),
% 17.21/17.27 inference(scs_inference,[],[1,6,10])).
% 17.21/17.27 cnf(36,plain,
% 17.21/17.27 (~P3(a2,f5(a1,a2))),
% 17.21/17.27 inference(scs_inference,[],[6,1,11,17])).
% 17.21/17.27 cnf(37,plain,
% 17.21/17.27 (~P3(a1,f5(a1,a2))),
% 17.21/17.27 inference(scs_inference,[],[7,6,1,13,18])).
% 17.21/17.27 cnf(39,plain,
% 17.21/17.27 (~P3(a1,f5(a2,a1))),
% 17.21/17.27 inference(scs_inference,[],[1,6,10,17])).
% 17.21/17.27 cnf(40,plain,
% 17.21/17.27 (~P3(a2,f5(a2,a1))),
% 17.21/17.27 inference(scs_inference,[],[6,20,10,18])).
% 17.21/17.27 cnf(653,plain,
% 17.21/17.27 (~P4(a3,f5(a2,a1))),
% 17.21/17.27 inference(scs_inference,[],[5,4,1,39,40,19])).
% 17.21/17.27 cnf(661,plain,
% 17.21/17.27 ($false),
% 17.21/17.27 inference(scs_inference,[],[3,5,4,653,20,36,37,12,19]),
% 17.21/17.27 ['proof']).
% 17.21/17.27 % SZS output end Proof
% 17.21/17.27 % Total time :16.640000s
%------------------------------------------------------------------------------