%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO170+1 : 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 : n001.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 5.67s 5.77s
% Output : CNFRefutation 5.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO170+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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 08:54:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.52/0.57 start to proof:theBenchmark
% 5.67/5.76 %-------------------------------------------
% 5.67/5.76 % File :CSE---1.7
% 5.67/5.76 % Problem :theBenchmark
% 5.67/5.76 % Transform :cnf
% 5.67/5.76 % Format :tptp:raw
% 5.67/5.76 % Command :java -jar mcs_scs.jar %d %s
% 5.67/5.76
% 5.67/5.76 % Result :Theorem 5.150000s
% 5.67/5.76 % Output :CNFRefutation 5.150000s
% 5.67/5.76 %-------------------------------------------
% 5.67/5.76 %------------------------------------------------------------------------------
% 5.67/5.76 % File : GEO170+1 : TPTP v8.2.0. Released v3.3.0.
% 5.67/5.76 % Domain : Geometry (Constructive)
% 5.67/5.76 % Problem : Uniqueness of constructed lines
% 5.67/5.76 % Version : [vPl95] axioms : Especial.
% 5.67/5.76 % English : If two distinct points are incident with a line, then this line
% 5.67/5.76 % is equivalent with the connecting line of these points.
% 5.67/5.76
% 5.67/5.76 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 5.67/5.76 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 5.67/5.76 % Source : [ILTP]
% 5.67/5.76 % Names : Theorem 3.1 [vPl95]
% 5.67/5.76
% 5.67/5.76 % Status : Theorem
% 5.67/5.76 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 5.67/5.76 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 5.67/5.77 % Number of atoms : 39 ( 0 equ)
% 5.67/5.77 % Maximal formula atoms : 6 ( 2 avg)
% 5.67/5.77 % Number of connectives : 34 ( 10 ~; 9 |; 3 &)
% 5.67/5.77 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 5.67/5.77 % Maximal formula depth : 9 ( 5 avg)
% 5.67/5.77 % Maximal term depth : 2 ( 1 avg)
% 5.67/5.77 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 5.67/5.77 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 5.67/5.77 % Number of variables : 36 ( 36 !; 0 ?)
% 5.67/5.77 % SPC : FOF_THM_RFO_NEQ
% 5.67/5.77
% 5.67/5.77 % Comments : Definitions unfolded, hence Especial.
% 5.67/5.77 %------------------------------------------------------------------------------
% 5.67/5.77 include('Axioms/GEO006+0.ax').
% 5.67/5.77 %------------------------------------------------------------------------------
% 5.67/5.77 fof(con,conjecture,
% 5.67/5.77 ! [X,Y,Z] :
% 5.67/5.77 ( ( distinct_points(X,Y)
% 5.67/5.77 & ~ apart_point_and_line(X,Z)
% 5.67/5.77 & ~ apart_point_and_line(Y,Z) )
% 5.67/5.77 => ~ distinct_lines(Z,line_connecting(X,Y)) ) ).
% 5.67/5.77
% 5.67/5.77 %------------------------------------------------------------------------------
% 5.67/5.77 %-------------------------------------------
% 5.67/5.77 % Proof found
% 5.67/5.77 % SZS status Theorem for theBenchmark
% 5.67/5.77 % SZS output start Proof
% 5.67/5.77 %ClaNum:18(EqnAxiom:0)
% 5.67/5.77 %VarNum:74(SingletonVarNum:33)
% 5.67/5.77 %MaxLitNum:6
% 5.67/5.77 %MaxfuncDepth:1
% 5.67/5.77 %SharedTerms:8
% 5.67/5.77 %goalClause: 1 2 3 4
% 5.67/5.77 %singleGoalClaCount:4
% 5.67/5.77 [1]P1(a1,a2)
% 5.67/5.77 [3]~P3(a1,a3)
% 5.67/5.77 [4]~P3(a2,a3)
% 5.67/5.77 [2]P2(a3,f4(a1,a2))
% 5.67/5.77 [5]~P1(x51,x51)
% 5.67/5.77 [6]~P2(x61,x61)
% 5.67/5.77 [7]~P4(x71,x71)
% 5.67/5.77 [14]~P1(x141,x142)+~P3(x142,f4(x141,x142))
% 5.67/5.77 [15]~P1(x151,x152)+~P3(x151,f4(x151,x152))
% 5.67/5.77 [16]~P4(x161,x162)+~P3(f5(x161,x162),x162)
% 5.67/5.77 [17]~P4(x171,x172)+~P3(f5(x171,x172),x171)
% 5.67/5.77 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 5.67/5.77 [9]~P3(x91,x93)+P1(x91,x92)+P3(x92,x93)
% 5.67/5.77 [10]~P2(x103,x101)+P2(x101,x102)+P2(x103,x102)
% 5.67/5.77 [11]~P4(x113,x111)+P2(x111,x112)+P4(x113,x112)
% 5.67/5.77 [12]~P3(x123,x121)+P2(x121,x122)+P3(x123,x122)
% 5.67/5.77 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 5.67/5.77 [18]P3(x184,x183)+~P1(x184,x181)+~P2(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 5.67/5.77 %EqnAxiom
% 5.67/5.77
% 5.67/5.77 %-------------------------------------------
% 5.67/5.77 cnf(19,plain,
% 5.67/5.77 (P1(a2,a1)),
% 5.67/5.77 inference(scs_inference,[],[1,5,8])).
% 5.67/5.77 cnf(29,plain,
% 5.67/5.77 (~P3(a2,f4(a1,a2))),
% 5.67/5.77 inference(scs_inference,[],[6,1,12,14])).
% 5.67/5.77 cnf(32,plain,
% 5.67/5.77 (~P3(a1,f4(a1,a2))),
% 5.67/5.77 inference(scs_inference,[],[1,6,15,12])).
% 5.67/5.77 cnf(60,plain,
% 5.67/5.77 ($false),
% 5.67/5.77 inference(scs_inference,[],[2,4,3,29,32,19,18]),
% 5.67/5.77 ['proof']).
% 5.67/5.77 % SZS output end Proof
% 5.67/5.77 % Total time :5.150000s
%------------------------------------------------------------------------------