%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO201+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 : n017.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 11.13s 11.27s
% Output : CNFRefutation 11.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO201+1 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.30 % Computer : n017.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Fri Jun 21 06:07:54 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.15/0.54 start to proof:theBenchmark
% 11.13/11.27 %-------------------------------------------
% 11.13/11.27 % File :CSE---1.7
% 11.13/11.27 % Problem :theBenchmark
% 11.13/11.27 % Transform :cnf
% 11.13/11.27 % Format :tptp:raw
% 11.13/11.27 % Command :java -jar mcs_scs.jar %d %s
% 11.13/11.27
% 11.13/11.27 % Result :Theorem 10.670000s
% 11.13/11.27 % Output :CNFRefutation 10.670000s
% 11.13/11.27 %-------------------------------------------
% 11.13/11.27 %------------------------------------------------------------------------------
% 11.13/11.27 % File : GEO201+1 : TPTP v8.2.0. Released v3.3.0.
% 11.13/11.27 % Domain : Geometry (Constructive)
% 11.13/11.27 % Problem : Distinct ends means distinct lines
% 11.13/11.27 % Version : [vPl95] axioms : Especial.
% 11.13/11.27 % English : If the lines X and Y are convergent, then the intersection
% 11.13/11.27 % point of X and Y is equal to the intersection point of X and Y.
% 11.13/11.27
% 11.13/11.27 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 11.13/11.27 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 11.13/11.27 % Source : [ILTP]
% 11.13/11.27 % Names : Theorem 5.2 [vPl95]
% 11.13/11.27
% 11.13/11.27 % Status : Theorem
% 11.13/11.27 % 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
% 11.13/11.27 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 11.13/11.27 % Number of atoms : 37 ( 0 equ)
% 11.13/11.27 % Maximal formula atoms : 6 ( 2 avg)
% 11.13/11.27 % Number of connectives : 30 ( 8 ~; 9 |; 1 &)
% 11.13/11.27 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 11.13/11.27 % Maximal formula depth : 9 ( 5 avg)
% 11.13/11.27 % Maximal term depth : 2 ( 1 avg)
% 11.13/11.27 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 11.13/11.27 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 11.13/11.27 % Number of variables : 35 ( 35 !; 0 ?)
% 11.13/11.27 % SPC : FOF_THM_RFO_NEQ
% 11.13/11.27
% 11.13/11.27 % Comments : Definitions unfolded, hence Especial.
% 11.13/11.27 %------------------------------------------------------------------------------
% 11.13/11.27 include('Axioms/GEO006+0.ax').
% 11.13/11.27 %------------------------------------------------------------------------------
% 11.13/11.27 fof(con,conjecture,
% 11.13/11.27 ! [X,Y] :
% 11.13/11.27 ( convergent_lines(X,Y)
% 11.13/11.27 => ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 11.13/11.27
% 11.13/11.27 %------------------------------------------------------------------------------
% 11.13/11.27 %-------------------------------------------
% 11.13/11.27 % Proof found
% 11.13/11.27 % SZS status Theorem for theBenchmark
% 11.13/11.27 % SZS output start Proof
% 11.13/11.28 %ClaNum:16(EqnAxiom:0)
% 11.13/11.28 %VarNum:74(SingletonVarNum:33)
% 11.13/11.28 %MaxLitNum:6
% 11.13/11.28 %MaxfuncDepth:1
% 11.13/11.28 %SharedTerms:6
% 11.13/11.28 %goalClause: 1 2
% 11.13/11.28 %singleGoalClaCount:2
% 11.13/11.28 [1]P1(a1,a2)
% 11.13/11.28 [2]P3(f3(a1,a2),f3(a2,a1))
% 11.13/11.28 [3]~P3(x31,x31)
% 11.13/11.28 [4]~P4(x41,x41)
% 11.13/11.28 [5]~P1(x51,x51)
% 11.13/11.28 [12]~P3(x121,x122)+~P2(x122,f4(x121,x122))
% 11.13/11.28 [13]~P3(x131,x132)+~P2(x131,f4(x131,x132))
% 11.13/11.28 [14]~P1(x141,x142)+~P2(f3(x141,x142),x142)
% 11.13/11.28 [15]~P1(x151,x152)+~P2(f3(x151,x152),x151)
% 11.13/11.28 [6]~P3(x63,x61)+P3(x61,x62)+P3(x63,x62)
% 11.13/11.28 [7]~P2(x71,x73)+P3(x71,x72)+P2(x72,x73)
% 11.13/11.28 [8]~P4(x83,x81)+P4(x81,x82)+P4(x83,x82)
% 11.13/11.28 [9]~P1(x93,x91)+P4(x91,x92)+P1(x93,x92)
% 11.13/11.28 [10]~P2(x103,x101)+P4(x101,x102)+P2(x103,x102)
% 11.13/11.28 [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 11.13/11.28 [16]P2(x164,x163)+~P3(x164,x161)+~P4(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 11.13/11.28 %EqnAxiom
% 11.13/11.28
% 11.13/11.28 %-------------------------------------------
% 11.13/11.28 cnf(21,plain,
% 11.13/11.28 (~P1(x211,x211)),
% 11.13/11.28 inference(rename_variables,[],[5])).
% 11.13/11.28 cnf(26,plain,
% 11.13/11.28 (P4(a1,a2)),
% 11.13/11.28 inference(scs_inference,[],[1,2,3,4,5,21,6,9,11,8])).
% 11.13/11.28 cnf(31,plain,
% 11.13/11.28 (~P2(f3(a1,a2),a2)),
% 11.13/11.28 inference(scs_inference,[],[1,4,14,9])).
% 11.13/11.28 cnf(32,plain,
% 11.13/11.28 (~P2(f3(a2,a1),a2)),
% 11.13/11.28 inference(scs_inference,[],[5,1,15,11])).
% 11.13/11.28 cnf(33,plain,
% 11.13/11.28 (~P2(f3(a1,a2),a1)),
% 11.13/11.28 inference(scs_inference,[],[3,1,7,15])).
% 11.13/11.28 cnf(42,plain,
% 11.13/11.28 (~P2(f3(a2,a1),a1)),
% 11.13/11.28 inference(scs_inference,[],[5,1,14,11])).
% 11.13/11.28 cnf(67,plain,
% 11.13/11.28 ($false),
% 11.13/11.28 inference(scs_inference,[],[42,2,32,31,26,33,16]),
% 11.13/11.28 ['proof']).
% 11.13/11.28 % SZS output end Proof
% 11.13/11.28 % Total time :10.670000s
%------------------------------------------------------------------------------