%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO191+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 : 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 06:04:21 EDT 2024
% Result : Theorem 22.72s 22.89s
% Output : CNFRefutation 22.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO191+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 06:01:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.58/0.60 start to proof:theBenchmark
% 22.72/22.88 %-------------------------------------------
% 22.72/22.88 % File :CSE---1.7
% 22.72/22.89 % Problem :theBenchmark
% 22.72/22.89 % Transform :cnf
% 22.72/22.89 % Format :tptp:raw
% 22.72/22.89 % Command :java -jar mcs_scs.jar %d %s
% 22.72/22.89
% 22.72/22.89 % Result :Theorem 22.200000s
% 22.72/22.89 % Output :CNFRefutation 22.200000s
% 22.72/22.89 %-------------------------------------------
% 22.72/22.89 %------------------------------------------------------------------------------
% 22.72/22.89 % File : GEO191+1 : TPTP v8.2.0. Released v3.3.0.
% 22.72/22.89 % Domain : Geometry (Constructive)
% 22.72/22.89 % Problem : Symmetry of apartness
% 22.72/22.89 % Version : [vPl95] axioms : Especial.
% 22.72/22.89 % English : If the lines X and Y are convergent, U and V are convergent,
% 22.72/22.89 % and the intersection point of X and Y is apart from U and V,
% 22.72/22.89 % then the intersection point of U and V is apart from X and Y.
% 22.72/22.89
% 22.72/22.89 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 22.72/22.89 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 22.72/22.89 % Source : [ILTP]
% 22.72/22.89 % Names : Theorem 4.8 [vPl95]
% 22.72/22.89
% 22.72/22.89 % Status : Theorem
% 22.72/22.89 % Rating : 0.00 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 0.29 v5.4.0, 0.30 v5.3.0, 0.39 v5.2.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.28 v4.0.1, 0.32 v4.0.0, 0.35 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 22.72/22.89 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 22.72/22.89 % Number of atoms : 41 ( 0 equ)
% 22.72/22.89 % Maximal formula atoms : 6 ( 2 avg)
% 22.72/22.89 % Number of connectives : 33 ( 7 ~; 11 |; 3 &)
% 22.72/22.89 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 22.72/22.89 % Maximal formula depth : 9 ( 6 avg)
% 22.72/22.89 % Maximal term depth : 2 ( 1 avg)
% 22.72/22.89 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 22.72/22.89 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 22.72/22.89 % Number of variables : 37 ( 37 !; 0 ?)
% 22.72/22.89 % SPC : FOF_THM_RFO_NEQ
% 22.72/22.89
% 22.72/22.89 % Comments : Definitions unfolded, hence Especial.
% 22.72/22.89 %------------------------------------------------------------------------------
% 22.72/22.89 include('Axioms/GEO006+0.ax').
% 22.72/22.89 %------------------------------------------------------------------------------
% 22.72/22.89 fof(con,conjecture,
% 22.72/22.89 ! [X,Y,U,V] :
% 22.72/22.89 ( ( convergent_lines(X,Y)
% 22.72/22.89 & convergent_lines(U,V)
% 22.72/22.89 & ( apart_point_and_line(intersection_point(X,Y),U)
% 22.72/22.89 | apart_point_and_line(intersection_point(X,Y),V) ) )
% 22.72/22.89 => ( apart_point_and_line(intersection_point(U,V),X)
% 22.72/22.89 | apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 22.72/22.89
% 22.72/22.89 %------------------------------------------------------------------------------
% 22.72/22.89 %-------------------------------------------
% 22.72/22.89 % Proof found
% 22.72/22.89 % SZS status Theorem for theBenchmark
% 22.72/22.89 % SZS output start Proof
% 22.72/22.89 %ClaNum:19(EqnAxiom:0)
% 22.72/22.89 %VarNum:74(SingletonVarNum:33)
% 22.72/22.89 %MaxLitNum:6
% 22.72/22.89 %MaxfuncDepth:1
% 22.72/22.89 %SharedTerms:12
% 22.72/22.89 %goalClause: 1 2 6 7 14
% 22.72/22.89 %singleGoalClaCount:4
% 22.72/22.89 [1]P1(a1,a2)
% 22.72/22.89 [2]P1(a3,a4)
% 22.72/22.89 [6]~P2(f5(a3,a4),a1)
% 22.72/22.89 [7]~P2(f5(a3,a4),a2)
% 22.72/22.89 [3]~P3(x31,x31)
% 22.72/22.89 [4]~P4(x41,x41)
% 22.72/22.89 [5]~P1(x51,x51)
% 22.72/22.89 [14]P2(f5(a1,a2),a4)+P2(f5(a1,a2),a3)
% 22.72/22.89 [15]~P3(x151,x152)+~P2(x152,f6(x151,x152))
% 22.72/22.89 [16]~P3(x161,x162)+~P2(x161,f6(x161,x162))
% 22.72/22.89 [17]~P1(x171,x172)+~P2(f5(x171,x172),x172)
% 22.72/22.89 [18]~P1(x181,x182)+~P2(f5(x181,x182),x181)
% 22.72/22.89 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 22.72/22.89 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 22.72/22.89 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 22.72/22.89 [11]~P1(x113,x111)+P4(x111,x112)+P1(x113,x112)
% 22.72/22.89 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 22.72/22.89 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 22.72/22.89 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 22.72/22.89 %EqnAxiom
% 22.72/22.89
% 22.72/22.89 %-------------------------------------------
% 22.72/22.90 cnf(20,plain,
% 22.72/22.90 (P4(a2,a1)),
% 22.72/22.90 inference(scs_inference,[],[1,5,11])).
% 22.72/22.90 cnf(37,plain,
% 22.72/22.90 (~P2(f5(a3,a4),a4)),
% 22.72/22.90 inference(scs_inference,[],[2,4,17,11])).
% 22.72/22.90 cnf(45,plain,
% 22.72/22.90 (~P2(f5(a3,a4),a3)),
% 22.72/22.90 inference(scs_inference,[],[4,2,12,18])).
% 22.72/22.90 cnf(49,plain,
% 22.72/22.90 (~P2(f5(a1,a2),a2)),
% 22.72/22.90 inference(scs_inference,[],[1,4,17,12])).
% 22.72/22.90 cnf(53,plain,
% 22.72/22.90 (~P2(f5(a1,a2),a1)),
% 22.72/22.90 inference(scs_inference,[],[1,4,18,12])).
% 22.72/22.90 cnf(99,plain,
% 22.72/22.90 (P3(f5(a1,a2),f5(a3,a4))+P2(f5(a1,a2),a4)),
% 22.72/22.90 inference(scs_inference,[],[45,14,9])).
% 22.72/22.90 cnf(172,plain,
% 22.72/22.90 (P3(f5(a1,a2),f5(a3,a4))),
% 22.72/22.90 inference(scs_inference,[],[37,99,9])).
% 22.72/22.90 cnf(173,plain,
% 22.72/22.90 (P3(f5(a3,a4),f5(a1,a2))),
% 22.72/22.90 inference(scs_inference,[],[172,3,8])).
% 22.72/22.90 cnf(948,plain,
% 22.72/22.90 ($false),
% 22.72/22.90 inference(scs_inference,[],[49,7,6,20,53,173,19]),
% 22.72/22.90 ['proof']).
% 22.72/22.90 % SZS output end Proof
% 22.72/22.90 % Total time :22.200000s
%------------------------------------------------------------------------------