%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO203+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 : n018.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 06:04:30 EDT 2024
% Result : Theorem 21.92s 22.11s
% Output : CNFRefutation 21.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO203+2 : TPTP v8.2.0. Released v3.3.0.
% 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n018.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 21 06:04:23 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 21.92/22.11 %-------------------------------------------
% 21.92/22.11 % File :CSE---1.7
% 21.92/22.11 % Problem :theBenchmark
% 21.92/22.11 % Transform :cnf
% 21.92/22.11 % Format :tptp:raw
% 21.92/22.11 % Command :java -jar mcs_scs.jar %d %s
% 21.92/22.11
% 21.92/22.11 % Result :Theorem 21.450000s
% 21.92/22.11 % Output :CNFRefutation 21.450000s
% 21.92/22.11 %-------------------------------------------
% 21.92/22.11 %------------------------------------------------------------------------------
% 21.92/22.11 % File : GEO203+2 : TPTP v8.2.0. Released v3.3.0.
% 21.92/22.11 % Domain : Geometry (Constructive)
% 21.92/22.11 % Problem : Equal lines from points
% 21.92/22.11 % Version : [vPl95] axioms : Reduced > Especial.
% 21.92/22.11 % English : If the lines X and Y are convergent, and X and Z are convergent,
% 21.92/22.11 % the intersection point of X and Y, and the intersection point
% 21.92/22.11 % of X and Z are distinct, then the line connecting these points
% 21.92/22.11 % is equal to X.
% 21.92/22.11
% 21.92/22.11 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 21.92/22.11 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 21.92/22.11 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 21.92/22.11 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 21.92/22.11 % Source : [ILTP]
% 21.92/22.11 % Names :
% 21.92/22.11
% 21.92/22.11 % Status : Theorem
% 21.92/22.11 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.21 v5.4.0, 0.22 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
% 21.92/22.11 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 21.92/22.11 % Number of atoms : 38 ( 0 equ)
% 21.92/22.11 % Maximal formula atoms : 6 ( 2 avg)
% 21.92/22.11 % Number of connectives : 29 ( 4 ~; 9 |; 4 &)
% 21.92/22.11 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 21.92/22.11 % Maximal formula depth : 9 ( 6 avg)
% 21.92/22.11 % Maximal term depth : 3 ( 1 avg)
% 21.92/22.11 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 21.92/22.11 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 21.92/22.11 % Number of variables : 33 ( 33 !; 0 ?)
% 21.92/22.11 % SPC : FOF_THM_RFO_NEQ
% 21.92/22.11
% 21.92/22.11 % Comments : Definitions unfolded, hence Especial.
% 21.92/22.11 %------------------------------------------------------------------------------
% 21.92/22.11 include('Axioms/GEO008+0.ax').
% 21.92/22.11 %------------------------------------------------------------------------------
% 21.92/22.11 fof(con,conjecture,
% 21.92/22.11 ! [X,Y,Z] :
% 21.92/22.11 ( ( convergent_lines(X,Y)
% 21.92/22.11 & convergent_lines(X,Z)
% 21.92/22.11 & distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )
% 21.92/22.11 => ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ).
% 21.92/22.11
% 21.92/22.11 %------------------------------------------------------------------------------
% 21.92/22.11 %-------------------------------------------
% 21.92/22.11 % Proof found
% 21.92/22.11 % SZS status Theorem for theBenchmark
% 21.92/22.11 % SZS output start Proof
% 21.92/22.11 %ClaNum:18(EqnAxiom:0)
% 21.92/22.11 %VarNum:80(SingletonVarNum:36)
% 21.92/22.11 %MaxLitNum:6
% 21.92/22.11 %MaxfuncDepth:2
% 21.92/22.11 %SharedTerms:10
% 21.92/22.11 %goalClause: 1 2 3 4
% 21.92/22.11 %singleGoalClaCount:4
% 21.92/22.11 [1]P1(a1,a2)
% 21.92/22.11 [2]P1(a1,a3)
% 21.92/22.11 [3]P3(f4(a1,a2),f4(a1,a3))
% 21.92/22.11 [4]P4(f5(f4(a1,a2),f4(a1,a3)),a1)
% 21.92/22.11 [5]~P3(x51,x51)
% 21.92/22.11 [6]~P4(x61,x61)
% 21.92/22.11 [7]~P1(x71,x71)
% 21.92/22.11 [8]~P1(x81,x82)+P4(x81,x82)
% 21.92/22.11 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 21.92/22.11 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 21.92/22.11 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 21.92/22.11 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 21.92/22.11 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 21.92/22.11 [14]~P1(x142,x143)+~P2(x141,x143)+P3(x141,f4(x142,x143))
% 21.92/22.11 [15]~P1(x152,x153)+~P2(x151,x152)+P3(x151,f4(x152,x153))
% 21.92/22.11 [16]P3(x161,x162)+~P3(x163,x162)+~P2(x161,f5(x163,x162))
% 21.92/22.11 [17]P3(x171,x172)+~P3(x172,x173)+~P2(x171,f5(x172,x173))
% 21.92/22.11 [18]P2(x184,x183)+~P3(x184,x181)+~P4(x183,x182)+P2(x181,x182)+P2(x181,x183)+P2(x184,x182)
% 21.92/22.11 %EqnAxiom
% 21.92/22.11
% 21.92/22.11 %-------------------------------------------
% 21.97/22.12 cnf(19,plain,
% 21.97/22.12 (P1(a2,a1)),
% 21.97/22.12 inference(scs_inference,[],[1,7,13])).
% 21.97/22.12 cnf(22,plain,
% 21.97/22.12 (~P2(f4(a1,a2),a2)),
% 21.97/22.12 inference(scs_inference,[],[1,5,7,13,14])).
% 21.97/22.12 cnf(23,plain,
% 21.97/22.12 (~P3(x231,x231)),
% 21.97/22.12 inference(rename_variables,[],[5])).
% 21.97/22.12 cnf(25,plain,
% 21.97/22.12 (~P2(f4(a1,a2),a1)),
% 21.97/22.12 inference(scs_inference,[],[1,5,23,7,13,14,15])).
% 21.97/22.12 cnf(26,plain,
% 21.97/22.12 (~P3(x261,x261)),
% 21.97/22.12 inference(rename_variables,[],[5])).
% 21.97/22.12 cnf(28,plain,
% 21.97/22.12 (P3(f4(a1,a3),f4(a1,a2))),
% 21.97/22.12 inference(scs_inference,[],[1,3,5,23,26,7,13,14,15,9])).
% 21.97/22.12 cnf(34,plain,
% 21.97/22.12 (P4(a3,a1)),
% 21.97/22.12 inference(scs_inference,[],[2,6,8,11])).
% 21.97/22.12 cnf(35,plain,
% 21.97/22.12 (~P2(f4(a1,a3),a3)),
% 21.97/22.12 inference(scs_inference,[],[2,5,14])).
% 21.97/22.12 cnf(36,plain,
% 21.97/22.12 (~P3(x361,x361)),
% 21.97/22.12 inference(rename_variables,[],[5])).
% 21.97/22.12 cnf(38,plain,
% 21.97/22.12 (P1(a3,a1)),
% 21.97/22.12 inference(scs_inference,[],[2,5,7,14,13])).
% 21.97/22.12 cnf(41,plain,
% 21.97/22.12 (~P2(f4(a1,a3),a1)),
% 21.97/22.12 inference(scs_inference,[],[2,5,36,7,14,13,15])).
% 21.97/22.12 cnf(44,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a1,a2),f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[5,3,10,16])).
% 21.97/22.12 cnf(45,plain,
% 21.97/22.12 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[6,5,3,12,17])).
% 21.97/22.12 cnf(46,plain,
% 21.97/22.12 (P4(a2,a1)),
% 21.97/22.12 inference(scs_inference,[],[1,6,8,11])).
% 21.97/22.12 cnf(48,plain,
% 21.97/22.12 (~P2(f4(a1,a2),f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[3,5,9,16])).
% 21.97/22.12 cnf(49,plain,
% 21.97/22.12 (~P2(f4(a2,a1),a1)),
% 21.97/22.12 inference(scs_inference,[],[19,5,14])).
% 21.97/22.12 cnf(56,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[5,28,10,17])).
% 21.97/22.12 cnf(63,plain,
% 21.97/22.12 (~P2(f4(a3,a1),a3)),
% 21.97/22.12 inference(scs_inference,[],[38,5,15])).
% 21.97/22.12 cnf(68,plain,
% 21.97/22.12 (~P2(x681,a3)+~P2(x681,f5(x681,f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[35,5,10,17])).
% 21.97/22.12 cnf(69,plain,
% 21.97/22.12 (P4(a1,a2)),
% 21.97/22.12 inference(scs_inference,[],[46,6,11])).
% 21.97/22.12 cnf(75,plain,
% 21.97/22.12 (~P4(f5(f4(a1,a3),f4(a1,a2)),f5(f4(a1,a2),f4(a1,a3)))+~P2(f4(a1,a2),a3)),
% 21.97/22.12 inference(scs_inference,[],[44,56,48,3,68,18])).
% 21.97/22.12 cnf(88,plain,
% 21.97/22.12 (~P2(x881,f5(f4(a1,a3),f4(a1,a2)))+~P2(f4(a1,a3),f5(x881,f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[56,5,10,16])).
% 21.97/22.12 cnf(89,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+~P3(f4(a1,a2),f4(a2,a1))+~P4(a1,f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[48,49,25,88,18])).
% 21.97/22.12 cnf(90,plain,
% 21.97/22.12 (P3(f4(a1,a3),f4(a2,a1))+~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+~P4(a1,f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[3,89,9])).
% 21.97/22.12 cnf(104,plain,
% 21.97/22.12 (P4(f5(f4(a1,a2),f4(a1,a3)),f5(f4(a1,a3),f4(a1,a2)))+~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+P3(f4(a1,a3),f4(a2,a1))),
% 21.97/22.12 inference(scs_inference,[],[4,11,90])).
% 21.97/22.12 cnf(191,plain,
% 21.97/22.12 (P3(f4(a2,a1),f4(a1,a3))+~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+P4(f5(f4(a1,a2),f4(a1,a3)),f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[5,9,104])).
% 21.97/22.12 cnf(210,plain,
% 21.97/22.12 (~P2(x2101,a3)+~P2(f4(a3,a1),f5(x2101,f4(a3,a1)))),
% 21.97/22.12 inference(scs_inference,[],[5,63,16,10])).
% 21.97/22.12 cnf(293,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+P4(f5(f4(a1,a2),f4(a1,a3)),f5(f4(a1,a3),f4(a1,a2)))),
% 21.97/22.12 inference(scs_inference,[],[5,16,191])).
% 21.97/22.12 cnf(294,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+P4(f5(f4(a1,a3),f4(a1,a2)),f5(f4(a1,a2),f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[6,293,11])).
% 21.97/22.12 cnf(295,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))+~P2(f4(a1,a2),a3)),
% 21.97/22.12 inference(scs_inference,[],[294,75])).
% 21.97/22.12 cnf(616,plain,
% 21.97/22.12 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))),
% 21.97/22.12 inference(scs_inference,[],[3,35,34,25,41,18,210,295])).
% 21.97/22.12 cnf(657,plain,
% 21.97/22.12 (P2(f4(a1,a3),a2)),
% 21.97/22.12 inference(scs_inference,[],[3,22,69,25,41,18])).
% 21.97/22.12 cnf(682,plain,
% 21.97/22.12 ($false),
% 21.97/22.12 inference(scs_inference,[],[4,3,616,657,25,45,44,41,6,12,11,18]),
% 21.97/22.12 ['proof']).
% 21.97/22.12 % SZS output end Proof
% 21.97/22.12 % Total time :21.450000s
%------------------------------------------------------------------------------