TSTP Solution File: GEO205+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 : Wed Aug 30 22:43:39 EDT 2023
% Result : Theorem 0.56s 0.64s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:36:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.56/0.63 %-------------------------------------------
% 0.56/0.63 % File :CSE---1.6
% 0.56/0.63 % Problem :theBenchmark
% 0.56/0.63 % Transform :cnf
% 0.56/0.63 % Format :tptp:raw
% 0.56/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.63
% 0.56/0.63 % Result :Theorem 0.020000s
% 0.56/0.63 % Output :CNFRefutation 0.020000s
% 0.56/0.63 %-------------------------------------------
% 0.56/0.63 %------------------------------------------------------------------------------
% 0.56/0.63 % File : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.56/0.63 % Domain : Geometry (Constructive)
% 0.56/0.63 % Problem : Convergent lines and equal points
% 0.56/0.63 % Version : [vPl95] axioms : Reduced > Especial.
% 0.56/0.63 % English : If the lines X and Y are convergent, and Y and Z are
% 0.56/0.63 % equivalent, then X and Z are convergent, and the intersection
% 0.56/0.63 % point of X and Y, and the intersection point of X and Z are
% 0.56/0.63 % equal.
% 0.56/0.63
% 0.56/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.63 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.56/0.63 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.56/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.63 % Source : [ILTP]
% 0.56/0.63 % Names :
% 0.56/0.63
% 0.56/0.63 % Status : Theorem
% 0.56/0.63 % 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
% 0.56/0.63 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.56/0.63 % Number of atoms : 38 ( 0 equ)
% 0.56/0.63 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.63 % Number of connectives : 30 ( 5 ~; 9 |; 4 &)
% 0.56/0.63 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.56/0.63 % Maximal formula depth : 9 ( 6 avg)
% 0.56/0.63 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.63 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.56/0.63 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.56/0.63 % Number of variables : 33 ( 33 !; 0 ?)
% 0.56/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.63
% 0.56/0.63 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.63 %------------------------------------------------------------------------------
% 0.56/0.63 include('Axioms/GEO008+0.ax').
% 0.56/0.63 %------------------------------------------------------------------------------
% 0.56/0.63 fof(con,conjecture,
% 0.56/0.63 ! [X,Y,Z] :
% 0.56/0.63 ( ( convergent_lines(X,Y)
% 0.56/0.63 & ~ distinct_lines(Y,Z) )
% 0.56/0.63 => ( convergent_lines(X,Z)
% 0.56/0.63 & ~ distinct_points(intersection_point(X,Y),intersection_point(X,Z)) ) ) ).
% 0.56/0.63
% 0.56/0.63 %------------------------------------------------------------------------------
% 0.56/0.63 %-------------------------------------------
% 0.56/0.64 % Proof found
% 0.56/0.64 % SZS status Theorem for theBenchmark
% 0.56/0.64 % SZS output start Proof
% 0.56/0.64 %ClaNum:17(EqnAxiom:0)
% 0.56/0.64 %VarNum:80(SingletonVarNum:36)
% 0.56/0.64 %MaxLitNum:6
% 0.56/0.64 %MaxfuncDepth:1
% 0.56/0.64 %SharedTerms:9
% 0.56/0.64 %goalClause: 1 2 12
% 0.56/0.64 %singleGoalClaCount:2
% 0.56/0.64 [1]P1(a1,a2)
% 0.56/0.64 [2]~P3(a2,a3)
% 0.56/0.64 [3]~P4(x31,x31)
% 0.56/0.64 [4]~P3(x41,x41)
% 0.56/0.64 [5]~P1(x51,x51)
% 0.56/0.64 [12]P4(f4(a1,a2),f4(a1,a3))+~P1(a1,a3)
% 0.56/0.64 [6]~P1(x61,x62)+P3(x61,x62)
% 0.56/0.64 [7]~P4(x73,x71)+P4(x71,x72)+P4(x73,x72)
% 0.56/0.64 [8]~P2(x81,x83)+P4(x81,x82)+P2(x82,x83)
% 0.56/0.64 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.56/0.64 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.56/0.64 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.56/0.64 [13]~P1(x132,x133)+~P2(x131,x133)+P4(x131,f4(x132,x133))
% 0.56/0.64 [14]~P1(x142,x143)+~P2(x141,x142)+P4(x141,f4(x142,x143))
% 0.56/0.64 [15]P4(x151,x152)+~P4(x153,x152)+~P2(x151,f5(x153,x152))
% 0.56/0.64 [16]P4(x161,x162)+~P4(x162,x163)+~P2(x161,f5(x162,x163))
% 0.56/0.64 [17]P2(x174,x173)+~P4(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.56/0.64 %EqnAxiom
% 0.56/0.64
% 0.56/0.64 %-------------------------------------------
% 0.56/0.64 cnf(18,plain,
% 0.56/0.64 (~P1(a2,a3)),
% 0.56/0.64 inference(scs_inference,[],[2,6])).
% 0.56/0.64 cnf(19,plain,
% 0.56/0.64 (P1(a2,a1)),
% 0.56/0.64 inference(scs_inference,[],[1,5,2,6,11])).
% 0.56/0.64 cnf(22,plain,
% 0.56/0.64 (~P2(f4(a1,a2),a1)),
% 0.56/0.64 inference(scs_inference,[],[1,3,5,2,6,11,14])).
% 0.56/0.64 cnf(23,plain,
% 0.56/0.64 (~P4(x231,x231)),
% 0.56/0.64 inference(rename_variables,[],[3])).
% 0.56/0.64 cnf(25,plain,
% 0.56/0.64 (~P2(f4(a1,a2),a2)),
% 0.56/0.64 inference(scs_inference,[],[1,3,23,5,2,6,11,14,13])).
% 0.56/0.64 cnf(26,plain,
% 0.56/0.64 (~P4(x261,x261)),
% 0.56/0.64 inference(rename_variables,[],[3])).
% 0.56/0.64 cnf(30,plain,
% 0.56/0.64 (P2(x301,a3)+~P2(x301,a2)),
% 0.56/0.64 inference(scs_inference,[],[1,3,23,26,5,2,6,11,14,13,16,10])).
% 0.56/0.64 cnf(35,plain,
% 0.56/0.64 (~P4(x351,x351)),
% 0.56/0.64 inference(rename_variables,[],[3])).
% 0.56/0.64 cnf(38,plain,
% 0.56/0.64 (~P4(x381,x381)),
% 0.56/0.64 inference(rename_variables,[],[3])).
% 0.56/0.64 cnf(40,plain,
% 0.56/0.64 (P3(a1,a2)),
% 0.56/0.64 inference(scs_inference,[],[1,3,35,19,14,13,6])).
% 0.56/0.64 cnf(42,plain,
% 0.56/0.64 (~P4(x421,x422)+~P2(x422,f5(x421,x422))),
% 0.56/0.64 inference(scs_inference,[],[1,3,35,38,19,14,13,6,15])).
% 0.56/0.64 cnf(44,plain,
% 0.56/0.64 (P1(a1,a3)),
% 0.56/0.64 inference(scs_inference,[],[1,3,35,38,18,19,14,13,6,15,11])).
% 0.56/0.64 cnf(48,plain,
% 0.56/0.64 (P4(f4(a1,a2),f4(a1,a3))),
% 0.56/0.64 inference(scs_inference,[],[44,12])).
% 0.56/0.64 cnf(49,plain,
% 0.56/0.64 (P3(a2,a1)),
% 0.56/0.64 inference(scs_inference,[],[4,40,9])).
% 0.56/0.64 cnf(51,plain,
% 0.56/0.64 (P3(x511,x512)+~P3(x511,x513)+P3(x513,x512)),
% 0.56/0.64 inference(rename_variables,[],[9])).
% 0.56/0.64 cnf(52,plain,
% 0.56/0.64 (P3(a1,a3)),
% 0.56/0.64 inference(scs_inference,[],[2,4,40,9,51])).
% 0.56/0.64 cnf(54,plain,
% 0.56/0.64 (P1(a3,a1)),
% 0.56/0.64 inference(scs_inference,[],[2,4,5,40,44,9,51,11])).
% 0.56/0.64 cnf(59,plain,
% 0.56/0.64 (~P2(f4(a1,a3),f5(f4(a1,a2),f4(a1,a3)))),
% 0.56/0.64 inference(scs_inference,[],[48,42])).
% 0.56/0.64 cnf(61,plain,
% 0.56/0.64 (P4(f4(a1,a3),f4(a1,a2))),
% 0.56/0.64 inference(scs_inference,[],[3,48,42,7])).
% 0.56/0.64 cnf(75,plain,
% 0.56/0.64 (~P2(f4(a3,a1),a1)),
% 0.56/0.64 inference(scs_inference,[],[3,54,13])).
% 0.56/0.64 cnf(76,plain,
% 0.56/0.64 (~P4(x761,x761)),
% 0.56/0.64 inference(rename_variables,[],[3])).
% 0.56/0.64 cnf(78,plain,
% 0.56/0.64 (~P2(f4(a3,a1),a3)),
% 0.56/0.64 inference(scs_inference,[],[3,76,54,13,14])).
% 0.56/0.64 cnf(81,plain,
% 0.56/0.64 (~P4(f4(a1,a2),f4(a3,a1))),
% 0.56/0.64 inference(scs_inference,[],[78,49,22,75,25,30,17])).
% 0.56/0.64 cnf(97,plain,
% 0.56/0.64 (P2(f4(a1,a3),a1)),
% 0.56/0.64 inference(scs_inference,[],[22,59,52,61,81,44,78,48,3,30,7,8,17,10,13])).
% 0.56/0.64 cnf(99,plain,
% 0.56/0.64 ($false),
% 0.56/0.64 inference(scs_inference,[],[97,44,3,14]),
% 0.56/0.64 ['proof']).
% 0.56/0.64 % SZS output end Proof
% 0.56/0.64 % Total time :0.020000s
%------------------------------------------------------------------------------