%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO201+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 06:04:28 EDT 2024
% Result : Theorem 7.32s 7.37s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO201+2 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n001.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 06:20:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.49/0.56 start to proof:theBenchmark
% 7.30/7.36 %-------------------------------------------
% 7.30/7.36 % File :CSE---1.7
% 7.30/7.36 % Problem :theBenchmark
% 7.30/7.36 % Transform :cnf
% 7.30/7.36 % Format :tptp:raw
% 7.30/7.36 % Command :java -jar mcs_scs.jar %d %s
% 7.30/7.36
% 7.30/7.36 % Result :Theorem 6.770000s
% 7.30/7.36 % Output :CNFRefutation 6.770000s
% 7.30/7.36 %-------------------------------------------
% 7.30/7.36 %------------------------------------------------------------------------------
% 7.30/7.36 % File : GEO201+2 : TPTP v8.2.0. Released v3.3.0.
% 7.30/7.36 % Domain : Geometry (Constructive)
% 7.30/7.36 % Problem : Distinct ends means distinct lines
% 7.30/7.36 % Version : [vPl95] axioms : Reduced > Especial.
% 7.30/7.36 % English : If the lines X and Y are convergent, then the intersection
% 7.30/7.36 % point of X and Y is equal to the intersection point of X and Y.
% 7.30/7.36
% 7.30/7.36 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 7.30/7.36 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 7.30/7.36 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 7.30/7.36 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 7.32/7.36 % Source : [ILTP]
% 7.32/7.36 % Names :
% 7.32/7.36
% 7.32/7.36 % Status : Theorem
% 7.32/7.36 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 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, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0, 0.10 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 7.32/7.36 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 7.32/7.36 % Number of atoms : 36 ( 0 equ)
% 7.32/7.36 % Maximal formula atoms : 6 ( 2 avg)
% 7.32/7.36 % Number of connectives : 27 ( 4 ~; 9 |; 2 &)
% 7.32/7.36 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 7.32/7.36 % Maximal formula depth : 9 ( 5 avg)
% 7.32/7.36 % Maximal term depth : 2 ( 1 avg)
% 7.32/7.36 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 7.32/7.36 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 7.32/7.36 % Number of variables : 32 ( 32 !; 0 ?)
% 7.32/7.36 % SPC : FOF_THM_RFO_NEQ
% 7.32/7.36
% 7.32/7.36 % Comments : Definitions unfolded, hence Especial.
% 7.32/7.36 %------------------------------------------------------------------------------
% 7.32/7.36 include('Axioms/GEO008+0.ax').
% 7.32/7.36 %------------------------------------------------------------------------------
% 7.32/7.37 fof(con,conjecture,
% 7.32/7.37 ! [X,Y] :
% 7.32/7.37 ( convergent_lines(X,Y)
% 7.32/7.37 => ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 7.32/7.37
% 7.32/7.37 %------------------------------------------------------------------------------
% 7.32/7.37 %-------------------------------------------
% 7.32/7.37 % Proof found
% 7.32/7.37 % SZS status Theorem for theBenchmark
% 7.32/7.37 % SZS output start Proof
% 7.32/7.37 %ClaNum:16(EqnAxiom:0)
% 7.32/7.37 %VarNum:80(SingletonVarNum:36)
% 7.32/7.37 %MaxLitNum:6
% 7.32/7.37 %MaxfuncDepth:1
% 7.32/7.37 %SharedTerms:6
% 7.32/7.37 %goalClause: 1 2
% 7.32/7.37 %singleGoalClaCount:2
% 7.32/7.37 [1]P1(a1,a2)
% 7.32/7.37 [2]P3(f3(a1,a2),f3(a2,a1))
% 7.32/7.37 [3]~P3(x31,x31)
% 7.32/7.37 [4]~P4(x41,x41)
% 7.32/7.37 [5]~P1(x51,x51)
% 7.32/7.37 [6]~P1(x61,x62)+P4(x61,x62)
% 7.32/7.37 [7]~P3(x73,x71)+P3(x71,x72)+P3(x73,x72)
% 7.32/7.37 [8]~P2(x81,x83)+P3(x81,x82)+P2(x82,x83)
% 7.32/7.37 [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 7.32/7.37 [10]~P2(x103,x101)+P4(x101,x102)+P2(x103,x102)
% 7.32/7.37 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 7.32/7.37 [12]~P1(x122,x123)+~P2(x121,x123)+P3(x121,f3(x122,x123))
% 7.32/7.37 [13]~P1(x132,x133)+~P2(x131,x132)+P3(x131,f3(x132,x133))
% 7.32/7.37 [14]P3(x141,x142)+~P3(x143,x142)+~P2(x141,f4(x143,x142))
% 7.32/7.37 [15]P3(x151,x152)+~P3(x152,x153)+~P2(x151,f4(x152,x153))
% 7.32/7.37 [16]P2(x164,x163)+~P3(x164,x161)+~P4(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 7.32/7.37 %EqnAxiom
% 7.32/7.37
% 7.32/7.37 %-------------------------------------------
% 7.32/7.37 cnf(17,plain,
% 7.32/7.37 (P1(a2,a1)),
% 7.32/7.37 inference(scs_inference,[],[1,5,11])).
% 7.32/7.37 cnf(20,plain,
% 7.32/7.37 (~P2(f3(a1,a2),a2)),
% 7.32/7.37 inference(scs_inference,[],[1,3,5,11,12])).
% 7.32/7.37 cnf(21,plain,
% 7.32/7.37 (~P3(x211,x211)),
% 7.32/7.37 inference(rename_variables,[],[3])).
% 7.32/7.37 cnf(23,plain,
% 7.32/7.37 (~P2(f3(a1,a2),a1)),
% 7.32/7.37 inference(scs_inference,[],[1,3,21,5,11,12,13])).
% 7.32/7.37 cnf(24,plain,
% 7.32/7.37 (~P3(x241,x241)),
% 7.32/7.37 inference(rename_variables,[],[3])).
% 7.32/7.37 cnf(26,plain,
% 7.32/7.37 (P3(f3(a2,a1),f3(a1,a2))),
% 7.32/7.37 inference(scs_inference,[],[1,2,3,21,24,5,11,12,13,7])).
% 7.32/7.37 cnf(29,plain,
% 7.32/7.37 (P4(a2,a1)),
% 7.32/7.37 inference(scs_inference,[],[1,4,6,9])).
% 7.32/7.37 cnf(36,plain,
% 7.32/7.37 (~P2(f3(a2,a1),a1)),
% 7.32/7.37 inference(scs_inference,[],[17,3,12])).
% 7.32/7.37 cnf(37,plain,
% 7.32/7.37 (~P3(x371,x371)),
% 7.32/7.37 inference(rename_variables,[],[3])).
% 7.32/7.37 cnf(39,plain,
% 7.32/7.37 (~P2(f3(a2,a1),a2)),
% 7.32/7.37 inference(scs_inference,[],[17,3,37,12,13])).
% 7.32/7.37 cnf(80,plain,
% 7.32/7.37 ($false),
% 7.32/7.37 inference(scs_inference,[],[26,3,36,23,20,39,29,7,16]),
% 7.32/7.37 ['proof']).
% 7.32/7.37 % SZS output end Proof
% 7.32/7.37 % Total time :6.770000s
%------------------------------------------------------------------------------