%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO205+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 06:04:31 EDT 2024
% Result : Theorem 19.30s 19.38s
% Output : CNFRefutation 19.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 10:15:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 19.30/19.37 %-------------------------------------------
% 19.30/19.37 % File :CSE---1.7
% 19.30/19.37 % Problem :theBenchmark
% 19.30/19.37 % Transform :cnf
% 19.30/19.37 % Format :tptp:raw
% 19.30/19.37 % Command :java -jar mcs_scs.jar %d %s
% 19.30/19.37
% 19.30/19.37 % Result :Theorem 18.760000s
% 19.30/19.37 % Output :CNFRefutation 18.760000s
% 19.30/19.37 %-------------------------------------------
% 19.30/19.38 %------------------------------------------------------------------------------
% 19.30/19.38 % File : GEO205+2 : TPTP v8.2.0. Released v3.3.0.
% 19.30/19.38 % Domain : Geometry (Constructive)
% 19.30/19.38 % Problem : Convergent lines and equal points
% 19.30/19.38 % Version : [vPl95] axioms : Reduced > Especial.
% 19.30/19.38 % English : If the lines X and Y are convergent, and Y and Z are
% 19.30/19.38 % equivalent, then X and Z are convergent, and the intersection
% 19.30/19.38 % point of X and Y, and the intersection point of X and Z are
% 19.30/19.38 % equal.
% 19.30/19.38
% 19.30/19.38 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 19.30/19.38 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 19.30/19.38 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 19.30/19.38 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 19.30/19.38 % Source : [ILTP]
% 19.30/19.38 % Names :
% 19.30/19.38
% 19.30/19.38 % Status : Theorem
% 19.30/19.38 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.35 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 19.30/19.38 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 19.30/19.38 % Number of atoms : 38 ( 0 equ)
% 19.30/19.38 % Maximal formula atoms : 6 ( 2 avg)
% 19.30/19.38 % Number of connectives : 30 ( 5 ~; 9 |; 4 &)
% 19.30/19.38 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 19.30/19.38 % Maximal formula depth : 9 ( 6 avg)
% 19.30/19.38 % Maximal term depth : 2 ( 1 avg)
% 19.30/19.38 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 19.30/19.38 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 19.30/19.38 % Number of variables : 33 ( 33 !; 0 ?)
% 19.30/19.38 % SPC : FOF_THM_RFO_NEQ
% 19.30/19.38
% 19.30/19.38 % Comments : Definitions unfolded, hence Especial.
% 19.30/19.38 %------------------------------------------------------------------------------
% 19.30/19.38 include('Axioms/GEO008+0.ax').
% 19.30/19.38 %------------------------------------------------------------------------------
% 19.30/19.38 fof(con,conjecture,
% 19.30/19.38 ! [X,Y,Z] :
% 19.30/19.38 ( ( convergent_lines(X,Y)
% 19.30/19.38 & ~ distinct_lines(Y,Z) )
% 19.30/19.38 => ( convergent_lines(X,Z)
% 19.30/19.38 & ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ).
% 19.30/19.38
% 19.30/19.38 %------------------------------------------------------------------------------
% 19.30/19.38 %-------------------------------------------
% 19.30/19.38 % Proof found
% 19.30/19.38 % SZS status Theorem for theBenchmark
% 19.30/19.38 % SZS output start Proof
% 19.30/19.38 %ClaNum:17(EqnAxiom:0)
% 19.30/19.38 %VarNum:80(SingletonVarNum:36)
% 19.30/19.38 %MaxLitNum:6
% 19.30/19.38 %MaxfuncDepth:1
% 19.30/19.38 %SharedTerms:9
% 19.30/19.38 %goalClause: 1 2 12
% 19.30/19.38 %singleGoalClaCount:2
% 19.30/19.38 [1]P1(a1,a2)
% 19.30/19.38 [2]~P3(a2,a3)
% 19.30/19.38 [3]~P4(x31,x31)
% 19.30/19.38 [4]~P3(x41,x41)
% 19.30/19.38 [5]~P1(x51,x51)
% 19.30/19.38 [12]P4(f4(a1,a2),f4(a1,a3))+~P1(a1,a3)
% 19.30/19.38 [6]~P1(x61,x62)+P3(x61,x62)
% 19.30/19.38 [7]~P4(x73,x71)+P4(x71,x72)+P4(x73,x72)
% 19.30/19.38 [8]~P2(x81,x83)+P4(x81,x82)+P2(x82,x83)
% 19.30/19.38 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 19.30/19.38 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 19.30/19.38 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 19.30/19.38 [13]~P1(x132,x133)+~P2(x131,x133)+P4(x131,f4(x132,x133))
% 19.30/19.38 [14]~P1(x142,x143)+~P2(x141,x142)+P4(x141,f4(x142,x143))
% 19.30/19.38 [15]P4(x151,x152)+~P4(x153,x152)+~P2(x151,f5(x153,x152))
% 19.30/19.38 [16]P4(x161,x162)+~P4(x162,x163)+~P2(x161,f5(x162,x163))
% 19.30/19.38 [17]P2(x174,x173)+~P4(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 19.30/19.38 %EqnAxiom
% 19.30/19.38
% 19.30/19.38 %-------------------------------------------
% 19.30/19.39 cnf(18,plain,
% 19.30/19.39 (~P1(a2,a3)),
% 19.30/19.39 inference(scs_inference,[],[2,6])).
% 19.30/19.39 cnf(20,plain,
% 19.30/19.39 (P1(a2,a1)),
% 19.30/19.39 inference(scs_inference,[],[1,2,5,6,11])).
% 19.30/19.39 cnf(23,plain,
% 19.30/19.39 (~P2(f4(a1,a2),a2)),
% 19.30/19.39 inference(scs_inference,[],[1,2,3,5,6,11,13])).
% 19.30/19.39 cnf(24,plain,
% 19.30/19.39 (~P4(x241,x241)),
% 19.30/19.39 inference(rename_variables,[],[3])).
% 19.30/19.39 cnf(26,plain,
% 19.30/19.39 (~P2(f4(a1,a2),a1)),
% 19.30/19.39 inference(scs_inference,[],[1,2,3,24,5,6,11,13,14])).
% 19.30/19.39 cnf(29,plain,
% 19.30/19.39 (~P3(a3,a2)),
% 19.30/19.39 inference(scs_inference,[],[1,2,3,24,4,5,6,11,13,14,9])).
% 19.30/19.39 cnf(34,plain,
% 19.30/19.39 (~P2(f4(a1,a2),a3)),
% 19.30/19.39 inference(scs_inference,[],[23,29,6,10])).
% 19.30/19.39 cnf(36,plain,
% 19.30/19.39 (P1(a1,a3)),
% 19.30/19.39 inference(scs_inference,[],[18,23,20,29,6,10,11])).
% 19.30/19.39 cnf(38,plain,
% 19.30/19.39 (P4(f4(a1,a2),f4(a1,a3))),
% 19.30/19.39 inference(scs_inference,[],[36,12])).
% 19.30/19.39 cnf(39,plain,
% 19.30/19.39 (P4(f4(a1,a3),f4(a1,a2))),
% 19.30/19.39 inference(scs_inference,[],[38,3,7])).
% 19.30/19.39 cnf(42,plain,
% 19.30/19.39 (~P2(f4(a1,a3),f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[3,38,8,15])).
% 19.30/19.39 cnf(43,plain,
% 19.30/19.39 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[38,3,16,7])).
% 19.30/19.39 cnf(44,plain,
% 19.30/19.39 (P3(a2,a1)),
% 19.30/19.39 inference(scs_inference,[],[1,4,6,9])).
% 19.30/19.39 cnf(48,plain,
% 19.30/19.39 (P3(a1,a3)),
% 19.30/19.39 inference(scs_inference,[],[2,44,9])).
% 19.30/19.39 cnf(50,plain,
% 19.30/19.39 (P4(x501,f4(a1,a2))+~P2(x501,f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[38,3,7,16])).
% 19.30/19.39 cnf(51,plain,
% 19.30/19.39 (P3(a3,a1)),
% 19.30/19.39 inference(scs_inference,[],[48,4,9])).
% 19.30/19.39 cnf(55,plain,
% 19.30/19.39 (~P2(x551,a2)+~P2(f4(a1,a2),f5(x551,f4(a1,a2)))),
% 19.30/19.39 inference(scs_inference,[],[23,3,8,15])).
% 19.30/19.39 cnf(57,plain,
% 19.30/19.39 (~P4(x571,x571)),
% 19.30/19.39 inference(rename_variables,[],[3])).
% 19.30/19.39 cnf(59,plain,
% 19.30/19.39 (~P2(f4(a2,a1),a1)),
% 19.30/19.39 inference(scs_inference,[],[20,3,57,14,13])).
% 19.30/19.39 cnf(62,plain,
% 19.30/19.39 (~P2(f4(a2,a1),a3)),
% 19.30/19.39 inference(scs_inference,[],[20,29,3,57,14,13,10])).
% 19.30/19.39 cnf(68,plain,
% 19.30/19.39 (~P2(f4(a1,a3),a3)),
% 19.30/19.39 inference(scs_inference,[],[36,3,13])).
% 19.30/19.39 cnf(69,plain,
% 19.30/19.39 (~P4(x691,x691)),
% 19.30/19.39 inference(rename_variables,[],[3])).
% 19.30/19.39 cnf(71,plain,
% 19.30/19.39 (P1(a3,a1)),
% 19.30/19.39 inference(scs_inference,[],[36,5,3,13,11])).
% 19.30/19.39 cnf(74,plain,
% 19.30/19.39 (~P2(f4(a1,a3),a2)),
% 19.30/19.39 inference(scs_inference,[],[36,2,5,3,13,11,10])).
% 19.30/19.39 cnf(76,plain,
% 19.30/19.39 (~P2(f4(a1,a3),a1)),
% 19.30/19.39 inference(scs_inference,[],[36,2,5,3,69,13,11,10,14])).
% 19.30/19.39 cnf(226,plain,
% 19.30/19.39 (~P3(a3,f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[34,38,42,68,3,17,50])).
% 19.30/19.39 cnf(231,plain,
% 19.30/19.39 (P3(a1,f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[71,226,51,6,11,9])).
% 19.30/19.39 cnf(233,plain,
% 19.30/19.39 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a1,a2)))),
% 19.30/19.39 inference(scs_inference,[],[38,44,76,26,74,17,55])).
% 19.30/19.39 cnf(234,plain,
% 19.30/19.39 (P3(f5(f4(a1,a2),f4(a1,a3)),a1)),
% 19.30/19.39 inference(scs_inference,[],[4,231,9])).
% 19.30/19.39 cnf(474,plain,
% 19.30/19.39 (P2(f4(a2,a1),f5(f4(a1,a2),f4(a1,a3)))+~P4(f4(a2,a1),f4(a1,a2))+~P3(f5(f4(a1,a2),f4(a1,a3)),a1)),
% 19.30/19.39 inference(scs_inference,[],[234,59,43,3,1,17,14])).
% 19.30/19.39 cnf(475,plain,
% 19.30/19.39 (P2(f4(a2,a1),f5(f4(a1,a2),f4(a1,a3)))+~P4(f4(a2,a1),f4(a1,a2))),
% 19.30/19.39 inference(scs_inference,[],[234,474])).
% 19.30/19.39 cnf(549,plain,
% 19.30/19.39 (~P3(f5(f4(a1,a2),f4(a1,a3)),a3)),
% 19.30/19.39 inference(scs_inference,[],[68,42,39,34,3,17,50])).
% 19.30/19.39 cnf(551,plain,
% 19.30/19.39 (~P2(f4(a2,a1),f5(f4(a1,a2),f4(a1,a3)))),
% 19.30/19.39 inference(scs_inference,[],[549,62,10])).
% 19.30/19.39 cnf(554,plain,
% 19.30/19.39 (~P4(f4(a2,a1),f4(a1,a2))),
% 19.30/19.39 inference(scs_inference,[],[551,475])).
% 19.30/19.39 cnf(561,plain,
% 19.30/19.39 (~P4(f4(a1,a2),f4(a2,a1))),
% 19.30/19.39 inference(scs_inference,[],[554,3,233,8,7])).
% 19.30/19.39 cnf(599,plain,
% 19.30/19.39 (P4(f4(a1,a3),f4(a2,a1))),
% 19.30/19.39 inference(scs_inference,[],[561,39,7])).
% 19.30/19.39 cnf(607,plain,
% 19.30/19.39 ($false),
% 19.30/19.39 inference(scs_inference,[],[68,59,62,76,599,48,17]),
% 19.30/19.39 ['proof']).
% 19.30/19.39 % SZS output end Proof
% 19.30/19.39 % Total time :18.760000s
%------------------------------------------------------------------------------