%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO172+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 : n027.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 06:04:08 EDT 2024
% Result : Theorem 1.03s 1.11s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO172+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.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 07:46:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.55/0.58 start to proof:theBenchmark
% 1.03/1.11 %-------------------------------------------
% 1.03/1.11 % File :CSE---1.7
% 1.03/1.11 % Problem :theBenchmark
% 1.03/1.11 % Transform :cnf
% 1.03/1.11 % Format :tptp:raw
% 1.03/1.11 % Command :java -jar mcs_scs.jar %d %s
% 1.03/1.11
% 1.03/1.11 % Result :Theorem 0.490000s
% 1.03/1.11 % Output :CNFRefutation 0.490000s
% 1.03/1.11 %-------------------------------------------
% 1.03/1.11 %------------------------------------------------------------------------------
% 1.03/1.11 % File : GEO172+1 : TPTP v8.2.0. Released v3.3.0.
% 1.03/1.11 % Domain : Geometry (Constructive)
% 1.03/1.11 % Problem : Uniqueness of constructed points
% 1.03/1.11 % Version : [vPl95] axioms : Especial.
% 1.03/1.11 % English : If two lines are convergent and there is a point that is
% 1.03/1.11 % incident with both lines, then this point is equivalent to the
% 1.03/1.11 % intersection point of these lines.
% 1.03/1.11
% 1.03/1.11 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.03/1.11 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.03/1.11 % Source : [ILTP]
% 1.03/1.11 % Names : Theorem 3.3 [vPl95]
% 1.03/1.11
% 1.03/1.11 % Status : Theorem
% 1.03/1.11 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.00 v4.0.0, 0.05 v3.7.0, 0.00 v3.3.0
% 1.03/1.11 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 1.03/1.11 % Number of atoms : 39 ( 0 equ)
% 1.03/1.11 % Maximal formula atoms : 6 ( 2 avg)
% 1.03/1.11 % Number of connectives : 34 ( 10 ~; 9 |; 3 &)
% 1.03/1.11 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 1.03/1.11 % Maximal formula depth : 9 ( 5 avg)
% 1.03/1.11 % Maximal term depth : 2 ( 1 avg)
% 1.03/1.11 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 1.03/1.11 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 1.03/1.11 % Number of variables : 36 ( 36 !; 0 ?)
% 1.03/1.11 % SPC : FOF_THM_RFO_NEQ
% 1.03/1.11
% 1.03/1.11 % Comments : Definitions unfolded, hence Especial.
% 1.03/1.11 %------------------------------------------------------------------------------
% 1.03/1.11 include('Axioms/GEO006+0.ax').
% 1.03/1.11 %------------------------------------------------------------------------------
% 1.03/1.11 fof(con,conjecture,
% 1.03/1.11 ! [X,Y,Z] :
% 1.03/1.11 ( ( convergent_lines(X,Y)
% 1.03/1.11 & ~ apart_point_and_line(Z,X)
% 1.03/1.11 & ~ apart_point_and_line(Z,Y) )
% 1.03/1.11 => ~ distinct_points(Z,intersection_point(X,Y)) ) ).
% 1.03/1.11
% 1.03/1.11 %------------------------------------------------------------------------------
% 1.03/1.11 %-------------------------------------------
% 1.03/1.11 % Proof found
% 1.03/1.11 % SZS status Theorem for theBenchmark
% 1.03/1.11 % SZS output start Proof
% 1.03/1.11 %ClaNum:18(EqnAxiom:0)
% 1.03/1.11 %VarNum:74(SingletonVarNum:33)
% 1.03/1.11 %MaxLitNum:6
% 1.03/1.11 %MaxfuncDepth:1
% 1.03/1.11 %SharedTerms:8
% 1.03/1.11 %goalClause: 1 2 3 4
% 1.03/1.11 %singleGoalClaCount:4
% 1.03/1.11 [1]P1(a1,a2)
% 1.03/1.11 [3]~P2(a3,a1)
% 1.03/1.11 [4]~P2(a3,a2)
% 1.03/1.11 [2]P3(a3,f4(a1,a2))
% 1.03/1.11 [5]~P3(x51,x51)
% 1.03/1.11 [6]~P4(x61,x61)
% 1.03/1.11 [7]~P1(x71,x71)
% 1.03/1.11 [14]~P3(x141,x142)+~P2(x142,f5(x141,x142))
% 1.03/1.11 [15]~P3(x151,x152)+~P2(x151,f5(x151,x152))
% 1.03/1.11 [16]~P1(x161,x162)+~P2(f4(x161,x162),x162)
% 1.03/1.11 [17]~P1(x171,x172)+~P2(f4(x171,x172),x171)
% 1.03/1.11 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 1.03/1.11 [9]~P2(x91,x93)+P3(x91,x92)+P2(x92,x93)
% 1.03/1.12 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 1.03/1.12 [11]~P1(x113,x111)+P4(x111,x112)+P1(x113,x112)
% 1.03/1.12 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 1.03/1.12 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 1.03/1.12 [18]P2(x184,x183)+~P3(x184,x181)+~P4(x183,x182)+P2(x181,x182)+P2(x181,x183)+P2(x184,x182)
% 1.03/1.12 %EqnAxiom
% 1.03/1.12
% 1.03/1.12 %-------------------------------------------
% 1.03/1.12 cnf(23,plain,
% 1.03/1.12 (~P1(x231,x231)),
% 1.03/1.12 inference(rename_variables,[],[7])).
% 1.03/1.12 cnf(28,plain,
% 1.03/1.12 (P4(a1,a2)),
% 1.03/1.12 inference(scs_inference,[],[1,2,5,6,7,23,8,11,13,10])).
% 1.03/1.12 cnf(31,plain,
% 1.03/1.12 (~P2(a3,f5(f4(a1,a2),a3))),
% 1.03/1.12 inference(scs_inference,[],[5,2,14,8])).
% 1.03/1.12 cnf(32,plain,
% 1.03/1.12 (~P2(f4(a1,a2),f5(f4(a1,a2),a3))),
% 1.03/1.12 inference(scs_inference,[],[5,2,15,8])).
% 1.03/1.12 cnf(33,plain,
% 1.03/1.12 (~P2(f4(a1,a2),a2)),
% 1.03/1.12 inference(scs_inference,[],[1,6,16,11])).
% 1.03/1.12 cnf(48,plain,
% 1.03/1.12 (~P2(f4(a1,a2),a1)),
% 1.03/1.12 inference(scs_inference,[],[1,6,17,12])).
% 1.03/1.12 cnf(60,plain,
% 1.03/1.12 (~P4(a1,f5(f4(a1,a2),a3))),
% 1.03/1.12 inference(scs_inference,[],[2,5,32,31,3,48,8,18])).
% 1.03/1.12 cnf(62,plain,
% 1.03/1.12 (P4(a2,f5(f4(a1,a2),a3))),
% 1.03/1.12 inference(scs_inference,[],[60,28,10])).
% 1.03/1.12 cnf(98,plain,
% 1.03/1.12 ($false),
% 1.03/1.12 inference(scs_inference,[],[2,5,32,31,4,33,62,8,18]),
% 1.03/1.12 ['proof']).
% 1.03/1.12 % SZS output end Proof
% 1.03/1.12 % Total time :0.490000s
%------------------------------------------------------------------------------