%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO170+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 : n019.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 06:04:07 EDT 2024
% Result : Theorem 11.78s 11.87s
% Output : CNFRefutation 11.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO170+2 : TPTP v8.2.0. Released v3.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 21 06:55:24 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.43/0.60 start to proof:theBenchmark
% 11.78/11.87 %-------------------------------------------
% 11.78/11.87 % File :CSE---1.7
% 11.78/11.87 % Problem :theBenchmark
% 11.78/11.87 % Transform :cnf
% 11.78/11.87 % Format :tptp:raw
% 11.78/11.87 % Command :java -jar mcs_scs.jar %d %s
% 11.78/11.87
% 11.78/11.87 % Result :Theorem 11.210000s
% 11.78/11.87 % Output :CNFRefutation 11.210000s
% 11.78/11.87 %-------------------------------------------
% 11.78/11.87 %------------------------------------------------------------------------------
% 11.78/11.87 % File : GEO170+2 : TPTP v8.2.0. Released v3.3.0.
% 11.78/11.87 % Domain : Geometry (Constructive)
% 11.78/11.87 % Problem : Uniqueness of constructed lines
% 11.78/11.87 % Version : [vPl95] axioms : Reduced > Especial.
% 11.78/11.87 % English : If two distinct points are incident with a line, then this line
% 11.78/11.87 % is equivalent with the connecting line of these points.
% 11.78/11.87
% 11.78/11.87 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 11.78/11.87 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 11.78/11.87 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 11.78/11.87 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 11.78/11.87 % Source : [ILTP]
% 11.78/11.87 % Names :
% 11.78/11.87
% 11.78/11.87 % Status : Theorem
% 11.78/11.87 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.50 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 11.78/11.87 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 11.78/11.87 % Number of atoms : 38 ( 0 equ)
% 11.78/11.87 % Maximal formula atoms : 6 ( 2 avg)
% 11.78/11.87 % Number of connectives : 31 ( 6 ~; 9 |; 4 &)
% 11.78/11.87 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 11.78/11.87 % Maximal formula depth : 9 ( 6 avg)
% 11.78/11.87 % Maximal term depth : 2 ( 1 avg)
% 11.78/11.87 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 11.78/11.87 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 11.78/11.87 % Number of variables : 33 ( 33 !; 0 ?)
% 11.78/11.87 % SPC : FOF_THM_RFO_NEQ
% 11.78/11.87
% 11.78/11.87 % Comments : Definitions unfolded, hence Especial.
% 11.78/11.87 %------------------------------------------------------------------------------
% 11.78/11.87 include('Axioms/GEO008+0.ax').
% 11.78/11.87 %------------------------------------------------------------------------------
% 11.78/11.87 fof(con,conjecture,
% 11.78/11.87 ! [X,Y,Z] :
% 11.78/11.87 ( ( distinct_points(X,Y)
% 11.78/11.87 & ~ apart_point_and_line(X,Z)
% 11.78/11.87 & ~ apart_point_and_line(Y,Z) )
% 11.78/11.87 => ~ distinct_lines(Z,line_connecting(X,Y)) ) ).
% 11.78/11.87
% 11.78/11.87 %------------------------------------------------------------------------------
% 11.78/11.87 %-------------------------------------------
% 11.78/11.87 % Proof found
% 11.78/11.87 % SZS status Theorem for theBenchmark
% 11.78/11.87 % SZS output start Proof
% 11.78/11.88 %ClaNum:18(EqnAxiom:0)
% 11.78/11.88 %VarNum:80(SingletonVarNum:36)
% 11.78/11.88 %MaxLitNum:6
% 11.78/11.88 %MaxfuncDepth:1
% 11.78/11.88 %SharedTerms:8
% 11.78/11.88 %goalClause: 1 2 3 4
% 11.78/11.88 %singleGoalClaCount:4
% 11.78/11.88 [1]P1(a1,a2)
% 11.78/11.88 [3]~P3(a1,a3)
% 11.78/11.88 [4]~P3(a2,a3)
% 11.78/11.88 [2]P2(a3,f4(a1,a2))
% 11.78/11.88 [5]~P1(x51,x51)
% 11.78/11.88 [6]~P2(x61,x61)
% 11.78/11.88 [7]~P4(x71,x71)
% 11.78/11.88 [8]~P4(x81,x82)+P2(x81,x82)
% 11.78/11.88 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 11.78/11.88 [10]~P3(x101,x103)+P1(x101,x102)+P3(x102,x103)
% 11.78/11.88 [11]~P2(x113,x111)+P2(x111,x112)+P2(x113,x112)
% 11.78/11.88 [12]~P3(x123,x121)+P2(x121,x122)+P3(x123,x122)
% 11.78/11.88 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 11.78/11.88 [14]~P4(x142,x143)+~P3(x141,x143)+P1(x141,f5(x142,x143))
% 11.78/11.88 [15]~P4(x152,x153)+~P3(x151,x152)+P1(x151,f5(x152,x153))
% 11.78/11.88 [16]P1(x161,x162)+~P1(x163,x162)+~P3(x161,f4(x163,x162))
% 11.78/11.88 [17]P1(x171,x172)+~P1(x172,x173)+~P3(x171,f4(x172,x173))
% 11.78/11.88 [18]P3(x184,x183)+~P1(x184,x181)+~P2(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 11.78/11.88 %EqnAxiom
% 11.78/11.88
% 11.78/11.88 %-------------------------------------------
% 11.78/11.88 cnf(33,plain,
% 11.78/11.88 (~P3(a2,f4(a1,a2))),
% 11.78/11.88 inference(scs_inference,[],[5,1,10,16])).
% 11.78/11.88 cnf(35,plain,
% 11.78/11.88 (P1(x351,a1)+~P3(x351,f4(a1,a2))),
% 11.78/11.88 inference(scs_inference,[],[1,5,9,17])).
% 11.78/11.88 cnf(36,plain,
% 11.78/11.88 (~P3(a1,f4(a1,a2))),
% 11.78/11.88 inference(scs_inference,[],[5,35])).
% 11.78/11.88 cnf(92,plain,
% 11.78/11.88 ($false),
% 11.78/11.88 inference(scs_inference,[],[2,6,36,1,33,4,3,11,18]),
% 11.78/11.88 ['proof']).
% 11.78/11.89 % SZS output end Proof
% 11.78/11.89 % Total time :11.210000s
%------------------------------------------------------------------------------