%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO172+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 : n025.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 06:04:09 EDT 2024
% Result : Theorem 24.11s 24.62s
% Output : CNFRefutation 24.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jun 21 08:12:09 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.61/0.65 start to proof:theBenchmark
% 24.11/24.62 %-------------------------------------------
% 24.11/24.62 % File :CSE---1.7
% 24.11/24.62 % Problem :theBenchmark
% 24.11/24.62 % Transform :cnf
% 24.11/24.62 % Format :tptp:raw
% 24.11/24.62 % Command :java -jar mcs_scs.jar %d %s
% 24.11/24.62
% 24.11/24.62 % Result :Theorem 23.450000s
% 24.11/24.62 % Output :CNFRefutation 23.450000s
% 24.11/24.62 %-------------------------------------------
% 24.11/24.62 %------------------------------------------------------------------------------
% 24.11/24.62 % File : GEO172+2 : TPTP v8.2.0. Released v3.3.0.
% 24.11/24.62 % Domain : Geometry (Constructive)
% 24.11/24.62 % Problem : Uniqueness of constructed points
% 24.11/24.62 % Version : [vPl95] axioms : Reduced > Especial.
% 24.11/24.62 % English : If two lines are convergent and there is a point that is
% 24.11/24.62 % incident with both lines, then this point is equivalent to the
% 24.11/24.62 % intersection point of these lines.
% 24.11/24.62
% 24.11/24.62 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 24.11/24.62 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 24.11/24.62 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 24.11/24.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 24.11/24.62 % Source : [ILTP]
% 24.11/24.62 % Names :
% 24.11/24.62
% 24.11/24.62 % Status : Theorem
% 24.11/24.62 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v4.0.0, 0.05 v3.7.0, 0.00 v3.3.0
% 24.11/24.62 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 24.11/24.62 % Number of atoms : 38 ( 0 equ)
% 24.11/24.62 % Maximal formula atoms : 6 ( 2 avg)
% 24.11/24.62 % Number of connectives : 31 ( 6 ~; 9 |; 4 &)
% 24.11/24.62 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 24.11/24.62 % Maximal formula depth : 9 ( 6 avg)
% 24.11/24.62 % Maximal term depth : 2 ( 1 avg)
% 24.11/24.62 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 24.11/24.62 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 24.11/24.62 % Number of variables : 33 ( 33 !; 0 ?)
% 24.11/24.62 % SPC : FOF_THM_RFO_NEQ
% 24.11/24.62
% 24.11/24.62 % Comments : Definitions unfolded, hence Especial.
% 24.11/24.62 %------------------------------------------------------------------------------
% 24.11/24.62 include('Axioms/GEO008+0.ax').
% 24.11/24.62 %------------------------------------------------------------------------------
% 24.11/24.62 fof(con,conjecture,
% 24.11/24.62 ! [X,Y,Z] :
% 24.11/24.62 ( ( convergent_lines(X,Y)
% 24.11/24.62 & ~ apart_point_and_line(Z,X)
% 24.11/24.62 & ~ apart_point_and_line(Z,Y) )
% 24.11/24.62 => ~ distinct_points(Z,intersection_point(X,Y)) ) ).
% 24.11/24.62
% 24.11/24.62 %------------------------------------------------------------------------------
% 24.11/24.62 %-------------------------------------------
% 24.11/24.62 % Proof found
% 24.11/24.62 % SZS status Theorem for theBenchmark
% 24.11/24.62 % SZS output start Proof
% 24.11/24.63 %ClaNum:18(EqnAxiom:0)
% 24.11/24.63 %VarNum:80(SingletonVarNum:36)
% 24.11/24.63 %MaxLitNum:6
% 24.11/24.63 %MaxfuncDepth:1
% 24.11/24.63 %SharedTerms:8
% 24.11/24.63 %goalClause: 1 2 3 4
% 24.11/24.63 %singleGoalClaCount:4
% 24.11/24.63 [1]P1(a1,a2)
% 24.11/24.63 [3]~P2(a3,a1)
% 24.11/24.63 [4]~P2(a3,a2)
% 24.11/24.63 [2]P3(a3,f4(a1,a2))
% 24.11/24.63 [5]~P3(x51,x51)
% 24.11/24.63 [6]~P4(x61,x61)
% 24.11/24.63 [7]~P1(x71,x71)
% 24.11/24.63 [8]~P1(x81,x82)+P4(x81,x82)
% 24.11/24.63 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 24.11/24.63 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 24.11/24.63 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 24.11/24.63 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 24.11/24.63 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 24.11/24.63 [14]~P1(x142,x143)+~P2(x141,x143)+P3(x141,f4(x142,x143))
% 24.11/24.63 [15]~P1(x152,x153)+~P2(x151,x152)+P3(x151,f4(x152,x153))
% 24.11/24.63 [16]P3(x161,x162)+~P3(x163,x162)+~P2(x161,f5(x163,x162))
% 24.11/24.63 [17]P3(x171,x172)+~P3(x172,x173)+~P2(x171,f5(x172,x173))
% 24.11/24.63 [18]P2(x184,x183)+~P3(x184,x181)+~P4(x183,x182)+P2(x181,x182)+P2(x181,x183)+P2(x184,x182)
% 24.11/24.63 %EqnAxiom
% 24.11/24.63
% 24.11/24.63 %-------------------------------------------
% 24.11/24.63 cnf(22,plain,
% 24.11/24.63 (~P2(f4(a1,a2),a2)),
% 24.11/24.63 inference(scs_inference,[],[1,5,7,13,14])).
% 24.11/24.63 cnf(23,plain,
% 24.11/24.63 (~P3(x231,x231)),
% 24.11/24.63 inference(rename_variables,[],[5])).
% 24.11/24.63 cnf(25,plain,
% 24.11/24.63 (~P2(f4(a1,a2),a1)),
% 24.11/24.63 inference(scs_inference,[],[1,5,23,7,13,14,15])).
% 24.11/24.63 cnf(31,plain,
% 24.11/24.63 (P4(a2,a1)),
% 24.11/24.63 inference(scs_inference,[],[1,6,8,11])).
% 24.11/24.63 cnf(341,plain,
% 24.11/24.63 ($false),
% 24.11/24.63 inference(scs_inference,[],[4,3,2,22,25,31,18]),
% 24.11/24.63 ['proof']).
% 24.11/24.63 % SZS output end Proof
% 24.11/24.63 % Total time :23.450000s
%------------------------------------------------------------------------------