TSTP Solution File: GEO190+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 22:43:29 EDT 2023
% Result : Theorem 0.60s 0.66s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n029.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 22:10:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.60/0.65 %-------------------------------------------
% 0.60/0.65 % File :CSE---1.6
% 0.60/0.65 % Problem :theBenchmark
% 0.60/0.65 % Transform :cnf
% 0.60/0.65 % Format :tptp:raw
% 0.60/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.60/0.65
% 0.60/0.65 % Result :Theorem 0.010000s
% 0.60/0.65 % Output :CNFRefutation 0.010000s
% 0.60/0.65 %-------------------------------------------
% 0.60/0.66 %------------------------------------------------------------------------------
% 0.60/0.66 % File : GEO190+2 : TPTP v8.1.2. Released v3.3.0.
% 0.60/0.66 % Domain : Geometry (Constructive)
% 0.60/0.66 % Problem : Collary to symmetry of incidence
% 0.60/0.66 % Version : [vPl95] axioms : Reduced > Especial.
% 0.60/0.66 % English : If X, Y, and Z are pairwise distinct, and Z is incident with
% 0.60/0.66 % the line connecting X and Y, then Z is incident with the line
% 0.60/0.66 % connecting Y and X.
% 0.60/0.66
% 0.60/0.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.60/0.66 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.60/0.66 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.60/0.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.60/0.66 % Source : [ILTP]
% 0.60/0.66 % Names :
% 0.60/0.66
% 0.60/0.66 % Status : Theorem
% 0.60/0.66 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 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
% 0.60/0.66 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.60/0.66 % Number of atoms : 39 ( 0 equ)
% 0.60/0.66 % Maximal formula atoms : 6 ( 3 avg)
% 0.60/0.66 % Number of connectives : 31 ( 5 ~; 9 |; 5 &)
% 0.60/0.66 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.60/0.66 % Maximal formula depth : 9 ( 6 avg)
% 0.60/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.60/0.66 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.60/0.66 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.60/0.66 % Number of variables : 33 ( 33 !; 0 ?)
% 0.60/0.66 % SPC : FOF_THM_RFO_NEQ
% 0.60/0.66
% 0.60/0.66 % Comments : Definitions unfolded, hence Especial.
% 0.60/0.66 %------------------------------------------------------------------------------
% 0.60/0.66 include('Axioms/GEO008+0.ax').
% 0.60/0.66 %------------------------------------------------------------------------------
% 0.60/0.66 fof(con,conjecture,
% 0.60/0.66 ! [X,Y,Z] :
% 0.60/0.66 ( ( distinct_points(X,Y)
% 0.60/0.66 & distinct_points(X,Z)
% 0.60/0.66 & distinct_points(Y,Z)
% 0.60/0.66 & ~ apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.60/0.66 => ~ apart_point_and_line(Z,line_connecting(Y,X)) ) ).
% 0.60/0.66
% 0.60/0.66 %------------------------------------------------------------------------------
% 0.60/0.66 %-------------------------------------------
% 0.60/0.66 % Proof found
% 0.60/0.66 % SZS status Theorem for theBenchmark
% 0.60/0.66 % SZS output start Proof
% 0.60/0.66 %ClaNum:19(EqnAxiom:0)
% 0.60/0.66 %VarNum:80(SingletonVarNum:36)
% 0.60/0.66 %MaxLitNum:6
% 0.60/0.66 %MaxfuncDepth:1
% 0.60/0.66 %SharedTerms:10
% 0.60/0.66 %goalClause: 1 2 3 4 8
% 0.60/0.66 %singleGoalClaCount:5
% 0.60/0.66 [1]P1(a1,a2)
% 0.60/0.66 [2]P1(a1,a3)
% 0.60/0.66 [3]P1(a2,a3)
% 0.60/0.66 [4]P2(a3,f4(a2,a1))
% 0.60/0.66 [8]~P2(a3,f4(a1,a2))
% 0.60/0.66 [5]~P1(x51,x51)
% 0.60/0.66 [6]~P3(x61,x61)
% 0.60/0.66 [7]~P4(x71,x71)
% 0.60/0.66 [9]~P4(x91,x92)+P3(x91,x92)
% 0.60/0.66 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 0.60/0.66 [11]~P2(x111,x113)+P1(x111,x112)+P2(x112,x113)
% 0.60/0.66 [12]~P3(x123,x121)+P3(x121,x122)+P3(x123,x122)
% 0.60/0.66 [13]~P2(x133,x131)+P3(x131,x132)+P2(x133,x132)
% 0.60/0.66 [14]~P4(x143,x141)+P4(x141,x142)+P4(x143,x142)
% 0.60/0.66 [15]~P4(x152,x153)+~P2(x151,x153)+P1(x151,f5(x152,x153))
% 0.60/0.66 [16]~P4(x162,x163)+~P2(x161,x162)+P1(x161,f5(x162,x163))
% 0.60/0.66 [17]P1(x171,x172)+~P1(x173,x172)+~P2(x171,f4(x173,x172))
% 0.60/0.66 [18]P1(x181,x182)+~P1(x182,x183)+~P2(x181,f4(x182,x183))
% 0.60/0.66 [19]P2(x194,x193)+~P1(x194,x191)+~P3(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 0.60/0.66 %EqnAxiom
% 0.60/0.66
% 0.60/0.66 %-------------------------------------------
% 0.60/0.66 cnf(20,plain,
% 0.60/0.66 (P3(f4(a2,a1),f4(a1,a2))),
% 0.60/0.66 inference(scs_inference,[],[4,8,13])).
% 0.60/0.66 cnf(24,plain,
% 0.60/0.66 (P1(a2,a1)),
% 0.60/0.66 inference(scs_inference,[],[1,5,6,4,8,13,12,10])).
% 0.60/0.66 cnf(36,plain,
% 0.60/0.66 (~P1(x361,x361)),
% 0.60/0.66 inference(rename_variables,[],[5])).
% 0.60/0.66 cnf(41,plain,
% 0.60/0.66 (P2(a2,f4(a2,a1))+P2(a1,f4(a2,a1))),
% 0.60/0.66 inference(scs_inference,[],[1,5,36,20,18,17,19])).
% 0.60/0.66 cnf(62,plain,
% 0.60/0.66 (~P1(x621,x621)),
% 0.60/0.66 inference(rename_variables,[],[5])).
% 0.60/0.66 cnf(67,plain,
% 0.60/0.66 ($false),
% 0.60/0.66 inference(scs_inference,[],[24,5,62,18,17,41]),
% 0.60/0.66 ['proof']).
% 0.60/0.66 % SZS output end Proof
% 0.60/0.66 % Total time :0.010000s
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