%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO203+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 : n029.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 06:04:29 EDT 2024
% Result : Theorem 8.91s 9.02s
% Output : CNFRefutation 8.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO203+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.25 % Computer : n029.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Fri Jun 21 08:34:23 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.41 start to proof:theBenchmark
% 8.91/9.02 %-------------------------------------------
% 8.91/9.02 % File :CSE---1.7
% 8.91/9.02 % Problem :theBenchmark
% 8.91/9.02 % Transform :cnf
% 8.91/9.02 % Format :tptp:raw
% 8.91/9.02 % Command :java -jar mcs_scs.jar %d %s
% 8.91/9.02
% 8.91/9.02 % Result :Theorem 8.550000s
% 8.91/9.02 % Output :CNFRefutation 8.550000s
% 8.91/9.02 %-------------------------------------------
% 8.91/9.02 %------------------------------------------------------------------------------
% 8.91/9.02 % File : GEO203+1 : TPTP v8.2.0. Released v3.3.0.
% 8.91/9.02 % Domain : Geometry (Constructive)
% 8.91/9.02 % Problem : Equal lines from points
% 8.91/9.02 % Version : [vPl95] axioms : Especial.
% 8.91/9.02 % English : If the lines X and Y are convergent, and X and Z are convergent,
% 8.91/9.02 % the intersection point of X and Y, and the intersection point
% 8.91/9.02 % of X and Z are distinct, then the line connecting these points
% 8.91/9.02 % is equal to X.
% 8.91/9.02
% 8.91/9.02 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 8.91/9.02 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 8.91/9.02 % Source : [ILTP]
% 8.91/9.02 % Names : Theorem 5.4 [vPl95]
% 8.91/9.02
% 8.91/9.02 % Status : Theorem
% 8.91/9.02 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.26 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 8.91/9.02 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 8.91/9.02 % Number of atoms : 39 ( 0 equ)
% 8.91/9.02 % Maximal formula atoms : 6 ( 2 avg)
% 8.91/9.02 % Number of connectives : 32 ( 8 ~; 9 |; 3 &)
% 8.91/9.02 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 8.91/9.02 % Maximal formula depth : 9 ( 5 avg)
% 8.91/9.02 % Maximal term depth : 3 ( 1 avg)
% 8.91/9.02 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 8.91/9.02 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 8.91/9.02 % Number of variables : 36 ( 36 !; 0 ?)
% 8.91/9.02 % SPC : FOF_THM_RFO_NEQ
% 8.91/9.02
% 8.91/9.02 % Comments : Definitions unfolded, hence Especial.
% 8.91/9.02 %------------------------------------------------------------------------------
% 8.91/9.02 include('Axioms/GEO006+0.ax').
% 8.91/9.02 %------------------------------------------------------------------------------
% 8.91/9.02 fof(con,conjecture,
% 8.91/9.02 ! [X,Y,Z] :
% 8.91/9.02 ( ( convergent_lines(X,Y)
% 8.91/9.02 & convergent_lines(X,Z)
% 8.91/9.02 & distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
% 8.91/9.02 => ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ).
% 8.91/9.02
% 8.91/9.02 %------------------------------------------------------------------------------
% 8.91/9.02 %-------------------------------------------
% 8.91/9.02 % Proof found
% 8.91/9.02 % SZS status Theorem for theBenchmark
% 8.91/9.02 % SZS output start Proof
% 8.91/9.02 %ClaNum:18(EqnAxiom:0)
% 8.91/9.02 %VarNum:74(SingletonVarNum:33)
% 8.91/9.02 %MaxLitNum:6
% 8.91/9.02 %MaxfuncDepth:2
% 8.91/9.02 %SharedTerms:10
% 8.91/9.02 %goalClause: 1 2 3 4
% 8.91/9.03 %singleGoalClaCount:4
% 8.91/9.03 [1]P1(a1,a2)
% 8.91/9.03 [2]P1(a1,a3)
% 8.91/9.03 [3]P3(f4(a1,a2),f4(a1,a3))
% 8.91/9.03 [4]P4(f5(f4(a1,a2),f4(a1,a3)),a1)
% 8.91/9.03 [5]~P3(x51,x51)
% 8.91/9.03 [6]~P4(x61,x61)
% 8.91/9.03 [7]~P1(x71,x71)
% 8.91/9.03 [14]~P3(x141,x142)+~P2(x142,f5(x141,x142))
% 8.91/9.03 [15]~P3(x151,x152)+~P2(x151,f5(x151,x152))
% 8.91/9.03 [16]~P1(x161,x162)+~P2(f4(x161,x162),x162)
% 8.91/9.03 [17]~P1(x171,x172)+~P2(f4(x171,x172),x171)
% 8.91/9.03 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 8.91/9.03 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 8.91/9.03 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 8.91/9.03 [11]~P1(x113,x111)+P4(x111,x112)+P1(x113,x112)
% 8.91/9.03 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 8.91/9.03 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 8.91/9.03 [18]P2(x184,x183)+~P3(x184,x181)+~P4(x183,x182)+P2(x181,x182)+P2(x181,x183)+P2(x184,x182)
% 8.91/9.03 %EqnAxiom
% 8.91/9.03
% 8.91/9.03 %-------------------------------------------
% 8.91/9.03 cnf(41,plain,
% 8.91/9.03 (~P2(f4(a1,a3),f5(f4(a1,a2),f4(a1,a3)))),
% 8.91/9.03 inference(scs_inference,[],[5,3,9,14])).
% 8.91/9.03 cnf(42,plain,
% 8.91/9.03 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a1,a3)))),
% 8.91/9.03 inference(scs_inference,[],[6,3,12,15])).
% 8.91/9.03 cnf(57,plain,
% 8.91/9.03 (~P2(f4(a1,a3),a1)),
% 8.91/9.03 inference(scs_inference,[],[2,6,17,12])).
% 8.91/9.03 cnf(58,plain,
% 8.91/9.03 (~P2(f4(a1,a2),a1)),
% 8.91/9.03 inference(scs_inference,[],[1,6,17,12])).
% 8.91/9.03 cnf(628,plain,
% 8.91/9.03 ($false),
% 8.91/9.03 inference(scs_inference,[],[4,3,58,42,41,57,18]),
% 8.91/9.03 ['proof']).
% 8.91/9.03 % SZS output end Proof
% 8.91/9.03 % Total time :8.550000s
%------------------------------------------------------------------------------