%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO202+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 : n024.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 15.89s 15.96s
% Output : CNFRefutation 15.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO202+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
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 07:38:08 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.49/0.59 start to proof:theBenchmark
% 15.89/15.95 %-------------------------------------------
% 15.89/15.95 % File :CSE---1.7
% 15.89/15.95 % Problem :theBenchmark
% 15.89/15.95 % Transform :cnf
% 15.89/15.95 % Format :tptp:raw
% 15.89/15.95 % Command :java -jar mcs_scs.jar %d %s
% 15.89/15.95
% 15.89/15.95 % Result :Theorem 15.300000s
% 15.89/15.95 % Output :CNFRefutation 15.300000s
% 15.89/15.95 %-------------------------------------------
% 15.89/15.96 %------------------------------------------------------------------------------
% 15.89/15.96 % File : GEO202+2 : TPTP v8.2.0. Released v3.3.0.
% 15.89/15.96 % Domain : Geometry (Constructive)
% 15.89/15.96 % Problem : Diverging lines have equal ends
% 15.89/15.96 % Version : [vPl95] axioms : Reduced > Especial.
% 15.89/15.96 % English : If the point X is distinct to the points Y and Z, and the lines
% 15.89/15.96 % connecting X and Y, and connecting X and Z are convergent, then
% 15.89/15.96 % the intersection point of these lines is equal to X.
% 15.89/15.96
% 15.89/15.96 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 15.89/15.96 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 15.89/15.96 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 15.89/15.96 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 15.89/15.96 % Source : [ILTP]
% 15.89/15.96 % Names :
% 15.89/15.96
% 15.89/15.96 % Status : Theorem
% 15.89/15.96 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.16 v6.0.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.30 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 15.89/15.96 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 15.89/15.96 % Number of atoms : 38 ( 0 equ)
% 15.89/15.96 % Maximal formula atoms : 6 ( 2 avg)
% 15.89/15.96 % Number of connectives : 29 ( 4 ~; 9 |; 4 &)
% 15.89/15.96 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 15.89/15.96 % Maximal formula depth : 9 ( 6 avg)
% 15.89/15.96 % Maximal term depth : 3 ( 1 avg)
% 15.89/15.96 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 15.89/15.96 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 15.89/15.96 % Number of variables : 33 ( 33 !; 0 ?)
% 15.89/15.96 % SPC : FOF_THM_RFO_NEQ
% 15.89/15.96
% 15.89/15.96 % Comments : Definitions unfolded, hence Especial.
% 15.89/15.96 %------------------------------------------------------------------------------
% 15.89/15.96 include('Axioms/GEO008+0.ax').
% 15.89/15.96 %------------------------------------------------------------------------------
% 15.89/15.96 fof(con,conjecture,
% 15.89/15.96 ! [X,Y,Z] :
% 15.89/15.96 ( ( distinct_points(X,Y)
% 15.89/15.96 & distinct_points(X,Z)
% 15.89/15.96 & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
% 15.89/15.96 => ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ).
% 15.89/15.96
% 15.89/15.96 %------------------------------------------------------------------------------
% 15.89/15.96 %-------------------------------------------
% 15.89/15.96 % Proof found
% 15.89/15.96 % SZS status Theorem for theBenchmark
% 15.89/15.96 % SZS output start Proof
% 15.89/15.96 %ClaNum:18(EqnAxiom:0)
% 15.89/15.96 %VarNum:80(SingletonVarNum:36)
% 15.89/15.96 %MaxLitNum:6
% 15.89/15.96 %MaxfuncDepth:2
% 15.89/15.96 %SharedTerms:10
% 15.89/15.96 %goalClause: 1 2 3 4
% 15.89/15.96 %singleGoalClaCount:4
% 15.89/15.96 [1]P1(a1,a2)
% 15.89/15.96 [2]P1(a1,a3)
% 15.89/15.96 [3]P2(f4(a1,a2),f4(a1,a3))
% 15.89/15.96 [4]P1(f5(f4(a1,a2),f4(a1,a3)),a1)
% 15.89/15.96 [5]~P1(x51,x51)
% 15.89/15.96 [6]~P4(x61,x61)
% 15.89/15.96 [7]~P2(x71,x71)
% 15.89/15.96 [8]~P2(x81,x82)+P4(x81,x82)
% 15.89/15.96 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 15.89/15.96 [10]~P3(x101,x103)+P1(x101,x102)+P3(x102,x103)
% 15.89/15.96 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 15.89/15.96 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 15.89/15.96 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 15.89/15.96 [14]~P2(x142,x143)+~P3(x141,x143)+P1(x141,f5(x142,x143))
% 15.89/15.96 [15]~P2(x152,x153)+~P3(x151,x152)+P1(x151,f5(x152,x153))
% 15.89/15.96 [16]P1(x161,x162)+~P1(x163,x162)+~P3(x161,f4(x163,x162))
% 15.89/15.96 [17]P1(x171,x172)+~P1(x172,x173)+~P3(x171,f4(x172,x173))
% 15.89/15.96 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 15.89/15.96 %EqnAxiom
% 15.89/15.96
% 15.89/15.96 %-------------------------------------------
% 15.89/15.96 cnf(19,plain,
% 15.89/15.96 (P1(a2,a1)),
% 15.89/15.96 inference(scs_inference,[],[1,5,9])).
% 15.89/15.96 cnf(20,plain,
% 15.89/15.96 (~P1(x201,x201)),
% 15.89/15.96 inference(rename_variables,[],[5])).
% 15.89/15.96 cnf(25,plain,
% 15.89/15.96 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a3))),
% 15.89/15.96 inference(scs_inference,[],[1,3,5,20,7,9,13,14])).
% 15.89/15.96 cnf(26,plain,
% 15.89/15.96 (~P1(x261,x261)),
% 15.89/15.96 inference(rename_variables,[],[5])).
% 15.89/15.96 cnf(28,plain,
% 15.89/15.97 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a2))),
% 15.89/15.97 inference(scs_inference,[],[1,3,5,20,26,7,9,13,14,15])).
% 15.89/15.97 cnf(31,plain,
% 15.89/15.97 (P4(f4(a1,a3),f4(a1,a2))),
% 15.89/15.97 inference(scs_inference,[],[3,6,8,11])).
% 15.89/15.97 cnf(38,plain,
% 15.89/15.97 (~P3(a3,f4(a1,a3))),
% 15.89/15.97 inference(scs_inference,[],[5,2,10,16])).
% 15.89/15.97 cnf(44,plain,
% 15.89/15.97 (~P3(a1,f4(a2,a1))),
% 15.89/15.97 inference(scs_inference,[],[1,5,9,16])).
% 15.89/15.97 cnf(45,plain,
% 15.89/15.97 (~P3(a1,f4(a1,a3))),
% 15.89/15.97 inference(scs_inference,[],[5,2,9,17])).
% 15.89/15.97 cnf(46,plain,
% 15.89/15.97 (~P3(a2,f4(a1,a2))),
% 15.89/15.97 inference(scs_inference,[],[1,5,9,16])).
% 15.89/15.97 cnf(54,plain,
% 15.89/15.97 (~P3(a1,f4(a1,a2))),
% 15.89/15.97 inference(scs_inference,[],[5,1,10,17])).
% 15.89/15.97 cnf(89,plain,
% 15.89/15.97 (P1(x891,a2)+~P3(x891,f4(a2,a1))),
% 15.89/15.97 inference(scs_inference,[],[1,5,9,17])).
% 15.89/15.97 cnf(90,plain,
% 15.89/15.97 (~P3(a2,f4(a2,a1))),
% 15.89/15.97 inference(scs_inference,[],[5,89])).
% 15.89/15.97 cnf(332,plain,
% 15.89/15.97 (~P4(f4(a2,a1),f4(a1,a2))),
% 15.89/15.97 inference(scs_inference,[],[19,90,44,46,54,18])).
% 15.89/15.97 cnf(370,plain,
% 15.89/15.97 (P3(a2,f4(a1,a3))),
% 15.89/15.97 inference(scs_inference,[],[19,45,46,31,54,18])).
% 15.89/15.97 cnf(1728,plain,
% 15.89/15.97 (~P4(f4(a2,a1),f4(a1,a3))),
% 15.89/15.97 inference(scs_inference,[],[28,4,44,45,332,25,12,18])).
% 15.89/15.97 cnf(1852,plain,
% 15.89/15.97 (~P4(f4(a1,a3),f4(a2,a1))),
% 15.89/15.97 inference(scs_inference,[],[38,2,44,45,1728,12,18])).
% 15.89/15.97 cnf(1858,plain,
% 15.89/15.97 ($false),
% 15.89/15.97 inference(scs_inference,[],[370,90,1852,12]),
% 15.89/15.97 ['proof']).
% 15.89/15.97 % SZS output end Proof
% 15.89/15.97 % Total time :15.300000s
%------------------------------------------------------------------------------