TSTP Solution File: GEO201+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 : Wed Aug 30 22:43:36 EDT 2023
% Result : Theorem 0.56s 0.61s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 19:30:31 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.56/0.60 %-------------------------------------------
% 0.56/0.60 % File :CSE---1.6
% 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 %-------------------------------------------
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 % File : GEO201+1 : TPTP v8.1.2. Released v3.3.0.
% 0.56/0.61 % Domain : Geometry (Constructive)
% 0.56/0.61 % Problem : Distinct ends means distinct lines
% 0.56/0.61 % Version : [vPl95] axioms : Especial.
% 0.56/0.61 % English : If the lines X and Y are convergent, then the intersection
% 0.56/0.61 % point of X and Y is equal to the intersection point of X and Y.
% 0.56/0.61
% 0.56/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.61 % Source : [ILTP]
% 0.56/0.61 % Names : Theorem 5.2 [vPl95]
% 0.56/0.61
% 0.56/0.61 % Status : Theorem
% 0.56/0.61 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0, 0.10 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 0.56/0.61 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.56/0.61 % Number of atoms : 37 ( 0 equ)
% 0.56/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.61 % Number of connectives : 30 ( 8 ~; 9 |; 1 &)
% 0.56/0.61 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.56/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.56/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.61 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.56/0.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.56/0.61 % Number of variables : 35 ( 35 !; 0 ?)
% 0.56/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.61
% 0.56/0.61 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 include('Axioms/GEO006+0.ax').
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 fof(con,conjecture,
% 0.56/0.61 ! [X,Y] :
% 0.56/0.61 ( convergent_lines(X,Y)
% 0.56/0.61 => ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 0.56/0.61
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 %-------------------------------------------
% 0.56/0.61 % Proof found
% 0.56/0.61 % SZS status Theorem for theBenchmark
% 0.56/0.61 % SZS output start Proof
% 0.56/0.61 %ClaNum:16(EqnAxiom:0)
% 0.56/0.61 %VarNum:74(SingletonVarNum:33)
% 0.56/0.61 %MaxLitNum:6
% 0.56/0.61 %MaxfuncDepth:1
% 0.56/0.61 %SharedTerms:6
% 0.56/0.61 %goalClause: 1 2
% 0.56/0.61 %singleGoalClaCount:2
% 0.56/0.61 [1]P1(a1,a2)
% 0.56/0.61 [2]P3(f3(a1,a2),f3(a2,a1))
% 0.56/0.61 [3]~P3(x31,x31)
% 0.56/0.61 [4]~P4(x41,x41)
% 0.56/0.61 [5]~P1(x51,x51)
% 0.56/0.61 [12]~P3(x121,x122)+~P2(x122,f4(x121,x122))
% 0.56/0.61 [13]~P3(x131,x132)+~P2(x131,f4(x131,x132))
% 0.56/0.61 [14]~P1(x141,x142)+~P2(f3(x141,x142),x142)
% 0.56/0.61 [15]~P1(x151,x152)+~P2(f3(x151,x152),x151)
% 0.56/0.61 [6]~P3(x63,x61)+P3(x61,x62)+P3(x63,x62)
% 0.56/0.61 [7]~P2(x71,x73)+P3(x71,x72)+P2(x72,x73)
% 0.56/0.61 [8]~P4(x83,x81)+P4(x81,x82)+P4(x83,x82)
% 0.56/0.61 [9]~P1(x93,x91)+P4(x91,x92)+P1(x93,x92)
% 0.56/0.61 [10]~P2(x103,x101)+P4(x101,x102)+P2(x103,x102)
% 0.56/0.61 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.56/0.61 [16]P2(x164,x163)+~P3(x164,x161)+~P4(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.56/0.61 %EqnAxiom
% 0.56/0.61
% 0.56/0.61 %-------------------------------------------
% 0.56/0.61 cnf(17,plain,
% 0.56/0.61 (P1(a2,a1)),
% 0.56/0.61 inference(scs_inference,[],[1,5,11])).
% 0.56/0.61 cnf(18,plain,
% 0.56/0.61 (~P1(x181,x181)),
% 0.56/0.61 inference(rename_variables,[],[5])).
% 0.56/0.61 cnf(19,plain,
% 0.56/0.61 (P4(a2,a1)),
% 0.56/0.61 inference(scs_inference,[],[1,5,18,11,9])).
% 0.56/0.61 cnf(27,plain,
% 0.56/0.61 (~P2(f3(a1,a2),a1)),
% 0.56/0.61 inference(scs_inference,[],[1,3,4,5,18,2,11,9,8,6,15])).
% 0.56/0.61 cnf(29,plain,
% 0.56/0.61 (~P2(f3(a1,a2),a2)),
% 0.56/0.61 inference(scs_inference,[],[1,3,4,5,18,2,11,9,8,6,15,14])).
% 0.56/0.61 cnf(35,plain,
% 0.56/0.61 (P2(f3(a2,a1),a2)+P2(f3(a2,a1),a1)),
% 0.56/0.61 inference(scs_inference,[],[2,27,29,19,16])).
% 0.56/0.61 cnf(41,plain,
% 0.56/0.61 ($false),
% 0.56/0.61 inference(scs_inference,[],[17,15,35,14]),
% 0.56/0.61 ['proof']).
% 0.56/0.61 % SZS output end Proof
% 0.56/0.61 % Total time :0.000000s
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