%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO206+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 : n028.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 06:04:32 EDT 2024
% Result : Theorem 0.52s 0.62s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO206+2 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 06:06:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.52/0.57 start to proof:theBenchmark
% 0.52/0.61 %-------------------------------------------
% 0.52/0.61 % File :CSE---1.7
% 0.52/0.61 % Problem :theBenchmark
% 0.52/0.61 % Transform :cnf
% 0.52/0.61 % Format :tptp:raw
% 0.52/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.61
% 0.52/0.61 % Result :Theorem 0.000000s
% 0.52/0.61 % Output :CNFRefutation 0.000000s
% 0.52/0.61 %-------------------------------------------
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 % File : GEO206+2 : TPTP v8.2.0. Released v3.3.0.
% 0.52/0.62 % Domain : Geometry (Constructive)
% 0.52/0.62 % Problem : Point on parallel lines
% 0.52/0.62 % Version : [vPl95] axioms : Reduced > Especial.
% 0.52/0.62 % English : If the point X is incident with the line Y, and the lines
% 0.52/0.62 % Y and Z are parallel, then the line Y is equal to the parallel
% 0.52/0.62 % of Z through point X.
% 0.52/0.62
% 0.52/0.62 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.62 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.52/0.62 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.52/0.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.62 % Source : [ILTP]
% 0.52/0.62 % Names :
% 0.52/0.62
% 0.52/0.62 % Status : Theorem
% 0.52/0.62 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 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
% 0.52/0.62 % Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% 0.52/0.62 % Number of atoms : 43 ( 0 equ)
% 0.52/0.62 % Maximal formula atoms : 6 ( 2 avg)
% 0.52/0.62 % Number of connectives : 35 ( 8 ~; 11 |; 3 &)
% 0.52/0.62 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.52/0.62 % Maximal formula depth : 9 ( 6 avg)
% 0.52/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.62 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.52/0.62 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.52/0.62 % Number of variables : 40 ( 40 !; 0 ?)
% 0.52/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.62
% 0.52/0.62 % Comments : Definitions unfolded, hence Especial.
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 include('Axioms/GEO008+0.ax').
% 0.52/0.62 include('Axioms/GEO006+2.ax').
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 fof(con,conjecture,
% 0.52/0.62 ! [X,Y,Z] :
% 0.52/0.62 ( ( ~ apart_point_and_line(X,Y)
% 0.52/0.62 & ~ convergent_lines(Y,Z) )
% 0.52/0.62 => ~ distinct_lines(Y,parallel_through_point(Z,X)) ) ).
% 0.52/0.62
% 0.52/0.62 %------------------------------------------------------------------------------
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 % Proof found
% 0.52/0.62 % SZS status Theorem for theBenchmark
% 0.52/0.62 % SZS output start Proof
% 0.52/0.62 %ClaNum:20(EqnAxiom:0)
% 0.52/0.62 %VarNum:94(SingletonVarNum:43)
% 0.52/0.62 %MaxLitNum:6
% 0.52/0.62 %MaxfuncDepth:1
% 0.52/0.62 %SharedTerms:7
% 0.52/0.62 %goalClause: 1 2 3
% 0.52/0.62 %singleGoalClaCount:3
% 0.52/0.62 [2]~P2(a1,a3)
% 0.52/0.62 [3]~P3(a2,a1)
% 0.52/0.62 [1]P1(a1,f4(a3,a2))
% 0.52/0.62 [4]~P4(x41,x41)
% 0.52/0.62 [5]~P1(x51,x51)
% 0.52/0.62 [6]~P2(x61,x61)
% 0.52/0.62 [7]~P3(x71,f4(x72,x71))
% 0.52/0.62 [8]~P2(f4(x81,x82),x81)
% 0.52/0.62 [9]~P2(x91,x92)+P1(x91,x92)
% 0.52/0.62 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.52/0.62 [11]~P3(x111,x113)+P4(x111,x112)+P3(x112,x113)
% 0.52/0.62 [12]~P1(x123,x121)+P1(x121,x122)+P1(x123,x122)
% 0.52/0.62 [13]~P3(x133,x131)+P1(x131,x132)+P3(x133,x132)
% 0.52/0.62 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 0.52/0.62 [16]~P2(x162,x163)+~P3(x161,x163)+P4(x161,f5(x162,x163))
% 0.52/0.62 [17]~P2(x172,x173)+~P3(x171,x172)+P4(x171,f5(x172,x173))
% 0.52/0.62 [18]P4(x181,x182)+~P4(x183,x182)+~P3(x181,f6(x183,x182))
% 0.52/0.62 [19]P4(x191,x192)+~P4(x192,x193)+~P3(x191,f6(x192,x193))
% 0.52/0.62 [15]P3(x153,x151)+~P1(x151,x152)+P2(x151,x152)+P3(x153,x152)
% 0.52/0.62 [20]P3(x204,x203)+~P4(x204,x201)+~P1(x203,x202)+P3(x201,x202)+P3(x201,x203)+P3(x204,x202)
% 0.52/0.62 %EqnAxiom
% 0.52/0.62
% 0.52/0.62 %-------------------------------------------
% 0.52/0.62 cnf(21,plain,
% 0.52/0.62 (P1(f4(a3,a2),a1)),
% 0.52/0.62 inference(scs_inference,[],[1,5,12])).
% 0.52/0.62 cnf(40,plain,
% 0.52/0.62 ($false),
% 0.52/0.62 inference(scs_inference,[],[3,2,21,7,8,14,15]),
% 0.52/0.62 ['proof']).
% 0.52/0.62 % SZS output end Proof
% 0.52/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------