%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO200+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 : n022.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 06:04:27 EDT 2024
% Result : Theorem 4.63s 4.69s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO200+1 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n022.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 06:04:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 4.63/4.69 %-------------------------------------------
% 4.63/4.69 % File :CSE---1.7
% 4.63/4.69 % Problem :theBenchmark
% 4.63/4.69 % Transform :cnf
% 4.63/4.69 % Format :tptp:raw
% 4.63/4.69 % Command :java -jar mcs_scs.jar %d %s
% 4.63/4.69
% 4.63/4.69 % Result :Theorem 4.080000s
% 4.63/4.69 % Output :CNFRefutation 4.080000s
% 4.63/4.69 %-------------------------------------------
% 4.63/4.69 %------------------------------------------------------------------------------
% 4.63/4.69 % File : GEO200+1 : TPTP v8.2.0. Released v3.3.0.
% 4.63/4.69 % Domain : Geometry (Constructive)
% 4.63/4.69 % Problem : Line equals its converse
% 4.63/4.69 % Version : [vPl95] axioms : Especial.
% 4.63/4.69 % English : If the points X and Y are distinct, then the line connecting
% 4.63/4.69 % X and Y is equal to the line connecting Y and X.
% 4.63/4.69
% 4.63/4.69 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 4.63/4.69 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 4.63/4.69 % Source : [ILTP]
% 4.63/4.69 % Names : Theorem 5.1 [vPl95]
% 4.63/4.69
% 4.63/4.69 % Status : Theorem
% 4.63/4.69 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 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 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 4.63/4.69 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 4.63/4.69 % Number of atoms : 37 ( 0 equ)
% 4.63/4.69 % Maximal formula atoms : 6 ( 2 avg)
% 4.63/4.69 % Number of connectives : 30 ( 8 ~; 9 |; 1 &)
% 4.63/4.69 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 4.63/4.69 % Maximal formula depth : 9 ( 5 avg)
% 4.63/4.69 % Maximal term depth : 2 ( 1 avg)
% 4.63/4.69 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 4.63/4.69 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 4.63/4.69 % Number of variables : 35 ( 35 !; 0 ?)
% 4.63/4.69 % SPC : FOF_THM_RFO_NEQ
% 4.63/4.69
% 4.63/4.69 % Comments : Definitions unfolded, hence Especial.
% 4.63/4.69 %------------------------------------------------------------------------------
% 4.63/4.69 include('Axioms/GEO006+0.ax').
% 4.63/4.69 %------------------------------------------------------------------------------
% 4.63/4.69 fof(con,conjecture,
% 4.63/4.69 ! [X,Y] :
% 4.63/4.69 ( distinct_points(X,Y)
% 4.63/4.69 => ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ) ).
% 4.63/4.69
% 4.63/4.69 %------------------------------------------------------------------------------
% 4.63/4.69 %-------------------------------------------
% 4.63/4.69 % Proof found
% 4.63/4.69 % SZS status Theorem for theBenchmark
% 4.63/4.69 % SZS output start Proof
% 4.63/4.70 %ClaNum:16(EqnAxiom:0)
% 4.63/4.70 %VarNum:74(SingletonVarNum:33)
% 4.63/4.70 %MaxLitNum:6
% 4.63/4.70 %MaxfuncDepth:1
% 4.63/4.70 %SharedTerms:6
% 4.63/4.70 %goalClause: 1 2
% 4.63/4.70 %singleGoalClaCount:2
% 4.63/4.70 [1]P1(a1,a2)
% 4.63/4.70 [2]P2(f3(a1,a2),f3(a2,a1))
% 4.63/4.70 [3]~P1(x31,x31)
% 4.63/4.70 [4]~P2(x41,x41)
% 4.63/4.70 [5]~P3(x51,x51)
% 4.63/4.70 [12]~P1(x121,x122)+~P4(x122,f3(x121,x122))
% 4.63/4.70 [13]~P1(x131,x132)+~P4(x131,f3(x131,x132))
% 4.63/4.70 [14]~P3(x141,x142)+~P4(f4(x141,x142),x142)
% 4.63/4.70 [15]~P3(x151,x152)+~P4(f4(x151,x152),x151)
% 4.63/4.70 [6]~P1(x63,x61)+P1(x61,x62)+P1(x63,x62)
% 4.63/4.70 [7]~P4(x71,x73)+P1(x71,x72)+P4(x72,x73)
% 4.63/4.70 [8]~P2(x83,x81)+P2(x81,x82)+P2(x83,x82)
% 4.63/4.70 [9]~P3(x93,x91)+P2(x91,x92)+P3(x93,x92)
% 4.63/4.70 [10]~P4(x103,x101)+P2(x101,x102)+P4(x103,x102)
% 4.63/4.70 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 4.63/4.70 [16]P4(x164,x163)+~P1(x164,x161)+~P2(x163,x162)+P4(x161,x162)+P4(x161,x163)+P4(x164,x162)
% 4.63/4.70 %EqnAxiom
% 4.63/4.70
% 4.63/4.70 %-------------------------------------------
% 4.63/4.70 cnf(23,plain,
% 4.63/4.70 (~P4(a1,f3(a2,a1))),
% 4.63/4.70 inference(scs_inference,[],[3,1,12,6])).
% 4.63/4.70 cnf(24,plain,
% 4.63/4.70 (~P4(a2,f3(a2,a1))),
% 4.63/4.70 inference(scs_inference,[],[3,1,13,6])).
% 4.63/4.70 cnf(27,plain,
% 4.63/4.70 (~P4(a2,f3(a1,a2))),
% 4.63/4.70 inference(scs_inference,[],[3,1,7,12])).
% 4.63/4.70 cnf(28,plain,
% 4.63/4.70 (~P4(a1,f3(a1,a2))),
% 4.63/4.70 inference(scs_inference,[],[4,1,10,13])).
% 4.63/4.70 cnf(44,plain,
% 4.63/4.70 ($false),
% 4.63/4.70 inference(scs_inference,[],[27,2,1,24,23,28,16]),
% 4.63/4.70 ['proof']).
% 4.63/4.70 % SZS output end Proof
% 4.63/4.70 % Total time :4.080000s
%------------------------------------------------------------------------------