TSTP Solution File: GEO202+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO202+1 : 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 : n012.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 22:43:37 EDT 2023
% Result : Theorem 0.23s 0.66s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.16 % Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.37 % Computer : n012.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Tue Aug 29 19:56:09 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.60 start to proof:theBenchmark
% 0.23/0.66 %-------------------------------------------
% 0.23/0.66 % File :CSE---1.6
% 0.23/0.66 % Problem :theBenchmark
% 0.23/0.66 % Transform :cnf
% 0.23/0.66 % Format :tptp:raw
% 0.23/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.66
% 0.23/0.66 % Result :Theorem 0.000000s
% 0.23/0.66 % Output :CNFRefutation 0.000000s
% 0.23/0.66 %-------------------------------------------
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 % File : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.23/0.66 % Domain : Geometry (Constructive)
% 0.23/0.66 % Problem : Diverging lines have equal ends
% 0.23/0.66 % Version : [vPl95] axioms : Especial.
% 0.23/0.66 % English : If the point X is distinct to the points Y and Z, and the lines
% 0.23/0.66 % connecting X and Y, and connecting X and Z are convergent, then
% 0.23/0.66 % the intersection point of these lines is equal to X.
% 0.23/0.66
% 0.23/0.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.23/0.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.23/0.66 % Source : [ILTP]
% 0.23/0.66 % Names : Theorem 5.3 [vPl95]
% 0.23/0.66
% 0.23/0.66 % Status : Theorem
% 0.23/0.66 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 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, 0.25 v3.4.0, 0.00 v3.3.0
% 0.23/0.66 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.23/0.66 % Number of atoms : 39 ( 0 equ)
% 0.23/0.66 % Maximal formula atoms : 6 ( 2 avg)
% 0.23/0.66 % Number of connectives : 32 ( 8 ~; 9 |; 3 &)
% 0.23/0.66 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.23/0.66 % Maximal formula depth : 9 ( 5 avg)
% 0.23/0.66 % Maximal term depth : 3 ( 1 avg)
% 0.23/0.66 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.23/0.66 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.23/0.66 % Number of variables : 36 ( 36 !; 0 ?)
% 0.23/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.23/0.66
% 0.23/0.66 % Comments : Definitions unfolded, hence Especial.
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 include('Axioms/GEO006+0.ax').
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 fof(con,conjecture,
% 0.23/0.66 ! [X,Y,Z] :
% 0.23/0.66 ( ( distinct_points(X,Y)
% 0.23/0.66 & distinct_points(X,Z)
% 0.23/0.66 & convergent_lines(line_connecting(X,Y),line_connecting(X,Z)) )
% 0.23/0.66 => ~ distinct_points(intersection_point(line_connecting(X,Y),line_connecting(X,Z)),X) ) ).
% 0.23/0.66
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 %-------------------------------------------
% 0.23/0.66 % Proof found
% 0.23/0.66 % SZS status Theorem for theBenchmark
% 0.23/0.66 % SZS output start Proof
% 0.23/0.66 %ClaNum:18(EqnAxiom:0)
% 0.23/0.66 %VarNum:74(SingletonVarNum:33)
% 0.23/0.66 %MaxLitNum:6
% 0.23/0.66 %MaxfuncDepth:2
% 0.23/0.66 %SharedTerms:10
% 0.23/0.66 %goalClause: 1 2 3 4
% 0.23/0.66 %singleGoalClaCount:4
% 0.23/0.66 [1]P1(a1,a2)
% 0.23/0.66 [2]P1(a1,a3)
% 0.23/0.66 [3]P2(f4(a1,a2),f4(a1,a3))
% 0.23/0.66 [4]P1(f5(f4(a1,a2),f4(a1,a3)),a1)
% 0.23/0.66 [5]~P1(x51,x51)
% 0.23/0.66 [6]~P4(x61,x61)
% 0.23/0.66 [7]~P2(x71,x71)
% 0.23/0.66 [14]~P1(x141,x142)+~P3(x142,f4(x141,x142))
% 0.23/0.66 [15]~P1(x151,x152)+~P3(x151,f4(x151,x152))
% 0.23/0.66 [16]~P2(x161,x162)+~P3(f5(x161,x162),x162)
% 0.23/0.66 [17]~P2(x171,x172)+~P3(f5(x171,x172),x171)
% 0.23/0.66 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.23/0.66 [9]~P3(x91,x93)+P1(x91,x92)+P3(x92,x93)
% 0.23/0.66 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.23/0.66 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 0.23/0.66 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 0.23/0.66 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 0.23/0.66 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 0.23/0.66 %EqnAxiom
% 0.23/0.66
% 0.23/0.66 %-------------------------------------------
% 0.23/0.67 cnf(20,plain,
% 0.23/0.67 (~P2(x201,x201)),
% 0.23/0.67 inference(rename_variables,[],[7])).
% 0.23/0.67 cnf(24,plain,
% 0.23/0.67 (P4(f4(a1,a2),f4(a1,a3))),
% 0.23/0.67 inference(scs_inference,[],[6,7,20,3,13,11,10])).
% 0.23/0.67 cnf(29,plain,
% 0.23/0.67 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a2))),
% 0.23/0.67 inference(scs_inference,[],[1,5,6,7,20,3,13,11,10,8,17])).
% 0.23/0.67 cnf(31,plain,
% 0.23/0.67 (~P3(f5(f4(a1,a2),f4(a1,a3)),f4(a1,a3))),
% 0.23/0.67 inference(scs_inference,[],[1,5,6,7,20,3,13,11,10,8,17,16])).
% 0.23/0.67 cnf(33,plain,
% 0.23/0.67 (~P3(a1,f4(a1,a2))),
% 0.23/0.67 inference(scs_inference,[],[1,5,6,7,20,3,13,11,10,8,17,16,15])).
% 0.23/0.67 cnf(39,plain,
% 0.23/0.67 ($false),
% 0.23/0.67 inference(scs_inference,[],[2,4,29,31,24,33,18,15]),
% 0.23/0.67 ['proof']).
% 0.23/0.67 % SZS output end Proof
% 0.23/0.67 % Total time :0.000000s
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