%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO191+2 : 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 : n022.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 28.17s 28.25s
% Output : CNFRefutation 28.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n022.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 07:49:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.43/0.57 start to proof:theBenchmark
% 28.17/28.24 %-------------------------------------------
% 28.17/28.24 % File :CSE---1.7
% 28.17/28.24 % Problem :theBenchmark
% 28.17/28.25 % Transform :cnf
% 28.17/28.25 % Format :tptp:raw
% 28.17/28.25 % Command :java -jar mcs_scs.jar %d %s
% 28.17/28.25
% 28.17/28.25 % Result :Theorem 27.630000s
% 28.17/28.25 % Output :CNFRefutation 27.630000s
% 28.17/28.25 %-------------------------------------------
% 28.17/28.25 %------------------------------------------------------------------------------
% 28.17/28.25 % File : GEO191+2 : TPTP v8.2.0. Released v3.3.0.
% 28.17/28.25 % Domain : Geometry (Constructive)
% 28.17/28.25 % Problem : Symmetry of apartness
% 28.17/28.25 % Version : [vPl95] axioms : Reduced > Especial.
% 28.17/28.25 % English : If the lines X and Y are convergent, U and V are convergent,
% 28.17/28.25 % and the intersection point of X and Y is apart from U and V,
% 28.17/28.25 % then the intersection point of U and V is apart from X and Y.
% 28.17/28.25
% 28.17/28.25 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 28.17/28.25 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 28.17/28.25 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 28.17/28.25 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 28.17/28.25 % Source : [ILTP]
% 28.17/28.25 % Names :
% 28.17/28.25
% 28.17/28.25 % Status : Theorem
% 28.17/28.25 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.21 v5.4.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.21 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0, 0.20 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 28.17/28.25 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 28.17/28.25 % Number of atoms : 40 ( 0 equ)
% 28.17/28.25 % Maximal formula atoms : 6 ( 3 avg)
% 28.17/28.25 % Number of connectives : 30 ( 3 ~; 11 |; 4 &)
% 28.17/28.25 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 28.17/28.25 % Maximal formula depth : 9 ( 6 avg)
% 28.17/28.25 % Maximal term depth : 2 ( 1 avg)
% 28.17/28.25 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 28.17/28.25 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 28.17/28.25 % Number of variables : 34 ( 34 !; 0 ?)
% 28.17/28.25 % SPC : FOF_THM_RFO_NEQ
% 28.17/28.25
% 28.17/28.25 % Comments : Definitions unfolded, hence Especial.
% 28.17/28.25 %------------------------------------------------------------------------------
% 28.17/28.25 include('Axioms/GEO008+0.ax').
% 28.17/28.25 %------------------------------------------------------------------------------
% 28.17/28.25 fof(con,conjecture,
% 28.17/28.25 ! [X,Y,U,V] :
% 28.17/28.25 ( ( convergent_lines(X,Y)
% 28.17/28.25 & convergent_lines(U,V)
% 28.17/28.25 & ( apart_point_and_line(intersection_point(X,Y),U)
% 28.17/28.25 | apart_point_and_line(intersection_point(X,Y),V) ) )
% 28.17/28.25 => ( apart_point_and_line(intersection_point(U,V),X)
% 28.17/28.25 | apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 28.17/28.25
% 28.17/28.25 %------------------------------------------------------------------------------
% 28.17/28.25 %-------------------------------------------
% 28.17/28.25 % Proof found
% 28.17/28.25 % SZS status Theorem for theBenchmark
% 28.17/28.25 % SZS output start Proof
% 28.17/28.25 %ClaNum:19(EqnAxiom:0)
% 28.17/28.25 %VarNum:80(SingletonVarNum:36)
% 28.17/28.25 %MaxLitNum:6
% 28.17/28.25 %MaxfuncDepth:1
% 28.17/28.25 %SharedTerms:12
% 28.17/28.25 %goalClause: 1 2 6 7 14
% 28.17/28.25 %singleGoalClaCount:4
% 28.17/28.25 [1]P1(a1,a2)
% 28.17/28.25 [2]P1(a3,a4)
% 28.17/28.25 [6]~P2(f5(a3,a4),a1)
% 28.17/28.25 [7]~P2(f5(a3,a4),a2)
% 28.17/28.25 [3]~P3(x31,x31)
% 28.17/28.25 [4]~P4(x41,x41)
% 28.17/28.25 [5]~P1(x51,x51)
% 28.17/28.25 [14]P2(f5(a1,a2),a4)+P2(f5(a1,a2),a3)
% 28.17/28.25 [8]~P1(x81,x82)+P4(x81,x82)
% 28.17/28.25 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 28.17/28.25 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 28.17/28.25 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 28.17/28.25 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 28.17/28.25 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 28.17/28.25 [15]~P1(x152,x153)+~P2(x151,x153)+P3(x151,f5(x152,x153))
% 28.17/28.25 [16]~P1(x162,x163)+~P2(x161,x162)+P3(x161,f5(x162,x163))
% 28.17/28.25 [17]P3(x171,x172)+~P3(x173,x172)+~P2(x171,f6(x173,x172))
% 28.17/28.25 [18]P3(x181,x182)+~P3(x182,x183)+~P2(x181,f6(x182,x183))
% 28.17/28.25 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 28.17/28.26 %EqnAxiom
% 28.17/28.26
% 28.17/28.26 %-------------------------------------------
% 28.17/28.26 cnf(20,plain,
% 28.17/28.26 (P1(a2,a1)),
% 28.17/28.26 inference(scs_inference,[],[1,5,13])).
% 28.17/28.26 cnf(23,plain,
% 28.17/28.26 (~P2(f5(a1,a2),a2)),
% 28.17/28.26 inference(scs_inference,[],[1,3,5,13,15])).
% 28.17/28.26 cnf(24,plain,
% 28.17/28.26 (~P3(x241,x241)),
% 28.17/28.26 inference(rename_variables,[],[3])).
% 28.17/28.26 cnf(26,plain,
% 28.17/28.26 (~P2(f5(a1,a2),a1)),
% 28.17/28.26 inference(scs_inference,[],[1,3,24,5,13,15,16])).
% 28.17/28.26 cnf(29,plain,
% 28.17/28.26 (P4(a4,a3)),
% 28.17/28.26 inference(scs_inference,[],[2,4,8,11])).
% 28.17/28.26 cnf(33,plain,
% 28.17/28.26 (~P2(f5(a3,a4),a3)),
% 28.17/28.26 inference(scs_inference,[],[2,29,3,4,11,16])).
% 28.17/28.26 cnf(34,plain,
% 28.17/28.26 (~P3(x341,x341)),
% 28.17/28.26 inference(rename_variables,[],[3])).
% 28.17/28.26 cnf(36,plain,
% 28.17/28.26 (P1(a4,a3)),
% 28.17/28.26 inference(scs_inference,[],[2,29,3,4,5,11,16,13])).
% 28.17/28.26 cnf(39,plain,
% 28.17/28.26 (~P2(f5(a3,a4),a4)),
% 28.17/28.26 inference(scs_inference,[],[2,29,3,34,4,5,11,16,13,15])).
% 28.17/28.26 cnf(42,plain,
% 28.17/28.26 (P3(f5(a1,a2),f5(a3,a4))+P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[33,14,10])).
% 28.17/28.26 cnf(47,plain,
% 28.17/28.26 (~P3(x471,x472)+~P2(x471,f6(x471,x472))),
% 28.17/28.26 inference(scs_inference,[],[3,18,9])).
% 28.17/28.26 cnf(54,plain,
% 28.17/28.26 (~P2(f5(a1,a2),f6(f5(a1,a2),f5(a3,a4)))+P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[47,42])).
% 28.17/28.26 cnf(55,plain,
% 28.17/28.26 (P3(f5(a1,a2),f5(a3,a4))+~P2(f5(a1,a2),f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[39,54,10])).
% 28.17/28.26 cnf(56,plain,
% 28.17/28.26 (~P2(f5(a1,a2),f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[55,47])).
% 28.17/28.26 cnf(57,plain,
% 28.17/28.26 (P4(a2,a1)),
% 28.17/28.26 inference(scs_inference,[],[1,4,8,11])).
% 28.17/28.26 cnf(60,plain,
% 28.17/28.26 (~P2(f5(a4,a3),a4)),
% 28.17/28.26 inference(scs_inference,[],[36,3,16])).
% 28.17/28.26 cnf(61,plain,
% 28.17/28.26 (~P3(x611,x611)),
% 28.17/28.26 inference(rename_variables,[],[3])).
% 28.17/28.26 cnf(63,plain,
% 28.17/28.26 (~P2(f5(a4,a3),a3)),
% 28.17/28.26 inference(scs_inference,[],[36,3,61,16,15])).
% 28.17/28.26 cnf(68,plain,
% 28.17/28.26 (~P2(x681,f6(x681,f5(a3,a4)))+~P2(x681,a4)),
% 28.17/28.26 inference(scs_inference,[],[2,47,15])).
% 28.17/28.26 cnf(71,plain,
% 28.17/28.26 (P4(a1,a2)),
% 28.17/28.26 inference(scs_inference,[],[57,4,11])).
% 28.17/28.26 cnf(74,plain,
% 28.17/28.26 (~P2(x741,f6(x741,f5(a4,a3)))+~P2(x741,a4)),
% 28.17/28.26 inference(scs_inference,[],[60,47,10])).
% 28.17/28.26 cnf(84,plain,
% 28.17/28.26 (~P2(x841,f6(x841,f5(a4,a3)))+~P2(x841,a3)),
% 28.17/28.26 inference(scs_inference,[],[36,47,15])).
% 28.17/28.26 cnf(103,plain,
% 28.17/28.26 (~P2(f5(a1,a2),f6(f5(a1,a2),f5(a4,a3)))+P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[14,84])).
% 28.17/28.26 cnf(104,plain,
% 28.17/28.26 (~P2(f5(a1,a2),f6(f5(a1,a2),f5(a4,a3)))),
% 28.17/28.26 inference(scs_inference,[],[103,74])).
% 28.17/28.26 cnf(121,plain,
% 28.17/28.26 (P4(a3,a2)+P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[23,14,12])).
% 28.17/28.26 cnf(217,plain,
% 28.17/28.26 (P3(f5(a1,a2),f5(a3,a4))),
% 28.17/28.26 inference(scs_inference,[],[39,42,10])).
% 28.17/28.26 cnf(218,plain,
% 28.17/28.26 (P3(f5(a3,a4),f5(a1,a2))),
% 28.17/28.26 inference(scs_inference,[],[217,3,9])).
% 28.17/28.26 cnf(255,plain,
% 28.17/28.26 (~P2(f5(a3,a4),f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[3,217,10,17])).
% 28.17/28.26 cnf(256,plain,
% 28.17/28.26 (~P4(a1,f6(f5(a1,a2),f5(a3,a4)))+~P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[255,6,26,217,68,19])).
% 28.17/28.26 cnf(271,plain,
% 28.17/28.26 (P4(a3,a2)+~P4(a1,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[121,256])).
% 28.17/28.26 cnf(272,plain,
% 28.17/28.26 (P4(a2,a3)+~P4(a1,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[4,271,11])).
% 28.17/28.26 cnf(273,plain,
% 28.17/28.26 (P4(a2,f6(f5(a1,a2),f5(a3,a4)))+P4(a2,a3)),
% 28.17/28.26 inference(scs_inference,[],[71,272,11])).
% 28.17/28.26 cnf(274,plain,
% 28.17/28.26 (P4(a3,a2)+P4(a2,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[4,273,11])).
% 28.17/28.26 cnf(277,plain,
% 28.17/28.26 (~P4(a1,f6(f5(a1,a2),f5(a3,a4)))+P2(f5(a1,a2),a3)),
% 28.17/28.26 inference(scs_inference,[],[14,256])).
% 28.17/28.26 cnf(365,plain,
% 28.17/28.26 (~P2(x3651,a1)+~P2(f5(a2,a1),f6(x3651,f5(a2,a1)))),
% 28.17/28.26 inference(scs_inference,[],[20,3,15,17])).
% 28.17/28.26 cnf(607,plain,
% 28.17/28.26 (P4(a3,a1)+~P4(a1,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[26,277,12])).
% 28.17/28.26 cnf(641,plain,
% 28.17/28.26 (~P2(f5(a2,a1),f6(f5(a4,a3),f5(a2,a1)))+~P3(f5(a3,a4),f5(a4,a3))+~P4(a3,a1)),
% 28.17/28.26 inference(scs_inference,[],[6,63,33,365,19])).
% 28.17/28.26 cnf(683,plain,
% 28.17/28.26 (P4(a3,f6(f5(a1,a2),f5(a4,a3)))+P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[104,14,12])).
% 28.17/28.26 cnf(701,plain,
% 28.17/28.26 (~P1(a1,f6(f5(a1,a2),f5(a3,a4)))+P4(a3,a1)),
% 28.17/28.26 inference(scs_inference,[],[607,8])).
% 28.17/28.26 cnf(702,plain,
% 28.17/28.26 (P4(a1,a3)+~P1(a1,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[4,701,11])).
% 28.17/28.26 cnf(703,plain,
% 28.17/28.26 (P1(a2,f6(f5(a1,a2),f5(a3,a4)))+P4(a1,a3)),
% 28.17/28.26 inference(scs_inference,[],[1,702,13])).
% 28.17/28.26 cnf(704,plain,
% 28.17/28.26 (P4(a3,a1)+P1(a2,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[4,703,11])).
% 28.17/28.26 cnf(705,plain,
% 28.17/28.26 (~P3(f5(a3,a4),f5(a4,a3))+~P2(f5(a2,a1),f6(f5(a4,a3),f5(a2,a1)))+P1(a2,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[704,641])).
% 28.17/28.26 cnf(746,plain,
% 28.17/28.26 (~P1(a1,f6(f5(a1,a2),f5(a3,a4)))+~P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[256,8])).
% 28.17/28.26 cnf(763,plain,
% 28.17/28.26 (~P4(a2,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[255,7,23,218,56,19])).
% 28.17/28.26 cnf(774,plain,
% 28.17/28.26 (~P2(f5(a1,a2),a4)),
% 28.17/28.26 inference(scs_inference,[],[255,7,20,23,218,56,19,273,274,8,705,13,701,702,746])).
% 28.17/28.26 cnf(782,plain,
% 28.17/28.26 (P4(a3,f6(f5(a1,a2),f5(a4,a3)))),
% 28.17/28.26 inference(scs_inference,[],[774,683])).
% 28.17/28.26 cnf(790,plain,
% 28.17/28.26 (P4(a1,f6(f5(a1,a2),f5(a3,a4)))),
% 28.17/28.26 inference(scs_inference,[],[57,763,11])).
% 28.17/28.26 cnf(802,plain,
% 28.17/28.26 (~P4(a4,a1)),
% 28.17/28.26 inference(scs_inference,[],[6,774,39,218,782,26,4,11,19])).
% 28.17/28.26 cnf(814,plain,
% 28.17/28.26 (P4(f6(f5(a1,a2),f5(a3,a4)),a1)),
% 28.17/28.26 inference(scs_inference,[],[790,4,11])).
% 28.17/28.26 cnf(839,plain,
% 28.17/28.26 (~P4(f6(f5(a1,a2),f5(a3,a4)),a4)),
% 28.17/28.26 inference(scs_inference,[],[255,774,39,217,56,19])).
% 28.17/28.26 cnf(843,plain,
% 28.17/28.27 (P4(a1,a4)),
% 28.17/28.27 inference(scs_inference,[],[814,839,11])).
% 28.17/28.27 cnf(851,plain,
% 28.17/28.27 ($false),
% 28.17/28.27 inference(scs_inference,[],[843,802,4,11]),
% 28.17/28.27 ['proof']).
% 28.17/28.27 % SZS output end Proof
% 28.17/28.27 % Total time :27.630000s
%------------------------------------------------------------------------------