%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO206+1 : 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 : 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 : Mon Jun 24 06:04:31 EDT 2024
% Result : Theorem 0.56s 0.60s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO206+1 : 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
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 07:54:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 % File :CSE---1.7
% 0.56/0.60 % Problem :theBenchmark
% 0.56/0.60 % Transform :cnf
% 0.56/0.60 % Format :tptp:raw
% 0.56/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.60
% 0.56/0.60 % Result :Theorem 0.000000s
% 0.56/0.60 % Output :CNFRefutation 0.000000s
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 %------------------------------------------------------------------------------
% 0.56/0.60 % File : GEO206+1 : TPTP v8.2.0. Released v3.3.0.
% 0.56/0.60 % Domain : Geometry (Constructive)
% 0.56/0.60 % Problem : Point on parallel lines
% 0.56/0.60 % Version : [vPl95] axioms : Especial.
% 0.56/0.60 % English : If the point X is incident with the line Y, and the lines
% 0.56/0.60 % Y and Z are parallel, then the line Y is equal to the parallel
% 0.56/0.60 % of Z through point X.
% 0.56/0.60
% 0.56/0.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.60 % Source : [ILTP]
% 0.56/0.60 % Names : Theorem 7.1 [vPl95]
% 0.56/0.60
% 0.56/0.60 % Status : Theorem
% 0.56/0.60 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 0.56/0.60 % Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% 0.56/0.60 % Number of atoms : 44 ( 0 equ)
% 0.56/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.60 % Number of connectives : 38 ( 12 ~; 11 |; 2 &)
% 0.56/0.60 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.56/0.60 % Maximal formula depth : 9 ( 5 avg)
% 0.56/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.60 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.56/0.60 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.56/0.60 % Number of variables : 43 ( 43 !; 0 ?)
% 0.56/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.60
% 0.56/0.60 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.60 %------------------------------------------------------------------------------
% 0.56/0.60 include('Axioms/GEO006+0.ax').
% 0.56/0.60 include('Axioms/GEO006+2.ax').
% 0.56/0.60 %------------------------------------------------------------------------------
% 0.56/0.60 fof(con,conjecture,
% 0.56/0.60 ! [X,Y,Z] :
% 0.56/0.60 ( ( ~ apart_point_and_line(X,Y)
% 0.56/0.60 & ~ convergent_lines(Y,Z) )
% 0.56/0.60 => ~ distinct_lines(Y,parallel_through_point(Z,X)) ) ).
% 0.56/0.60
% 0.56/0.60 %------------------------------------------------------------------------------
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 % Proof found
% 0.56/0.60 % SZS status Theorem for theBenchmark
% 0.56/0.60 % SZS output start Proof
% 0.56/0.61 %ClaNum:20(EqnAxiom:0)
% 0.56/0.61 %VarNum:88(SingletonVarNum:40)
% 0.56/0.61 %MaxLitNum:6
% 0.56/0.61 %MaxfuncDepth:1
% 0.56/0.61 %SharedTerms:7
% 0.56/0.61 %goalClause: 1 2 3
% 0.56/0.61 %singleGoalClaCount:3
% 0.56/0.61 [2]~P2(a1,a3)
% 0.56/0.61 [3]~P3(a2,a1)
% 0.56/0.61 [1]P1(a1,f4(a3,a2))
% 0.56/0.61 [4]~P4(x41,x41)
% 0.56/0.61 [5]~P1(x51,x51)
% 0.56/0.61 [6]~P2(x61,x61)
% 0.56/0.61 [7]~P3(x71,f4(x72,x71))
% 0.56/0.61 [8]~P2(f4(x81,x82),x81)
% 0.56/0.61 [16]~P4(x161,x162)+~P3(x162,f5(x161,x162))
% 0.56/0.61 [17]~P4(x171,x172)+~P3(x171,f5(x171,x172))
% 0.56/0.61 [18]~P2(x181,x182)+~P3(f6(x181,x182),x182)
% 0.56/0.61 [19]~P2(x191,x192)+~P3(f6(x191,x192),x191)
% 0.56/0.61 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 0.56/0.61 [10]~P3(x101,x103)+P4(x101,x102)+P3(x102,x103)
% 0.56/0.61 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.56/0.61 [12]~P2(x123,x121)+P1(x121,x122)+P2(x123,x122)
% 0.56/0.61 [13]~P3(x133,x131)+P1(x131,x132)+P3(x133,x132)
% 0.56/0.61 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 0.56/0.61 [15]P3(x153,x151)+~P1(x151,x152)+P2(x151,x152)+P3(x153,x152)
% 0.56/0.61 [20]P3(x204,x203)+~P4(x204,x201)+~P1(x203,x202)+P3(x201,x202)+P3(x201,x203)+P3(x204,x202)
% 0.56/0.61 %EqnAxiom
% 0.56/0.61
% 0.56/0.61 %-------------------------------------------
% 0.56/0.61 cnf(21,plain,
% 0.56/0.61 (P1(f4(a3,a2),a1)),
% 0.56/0.61 inference(scs_inference,[],[1,5,11])).
% 0.56/0.61 cnf(24,plain,
% 0.56/0.61 (~P2(a3,a1)),
% 0.56/0.61 inference(scs_inference,[],[1,2,5,6,11,14])).
% 0.56/0.61 cnf(27,plain,
% 0.56/0.61 (~P1(f4(a1,a2),a1)),
% 0.56/0.61 inference(scs_inference,[],[1,2,3,5,6,7,8,11,14,15])).
% 0.56/0.61 cnf(36,plain,
% 0.56/0.61 ($false),
% 0.56/0.61 inference(scs_inference,[],[3,2,24,27,21,7,8,12,14,15]),
% 0.56/0.61 ['proof']).
% 0.56/0.61 % SZS output end Proof
% 0.56/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------