%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO204+2 : 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 : n023.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 06:04:30 EDT 2024
% Result : Theorem 0.68s 0.72s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO204+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n023.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 : Fri Jun 21 08:27:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.68/0.72 %-------------------------------------------
% 0.68/0.72 % File :CSE---1.7
% 0.68/0.72 % Problem :theBenchmark
% 0.68/0.72 % Transform :cnf
% 0.68/0.72 % Format :tptp:raw
% 0.68/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.68/0.72
% 0.68/0.72 % Result :Theorem 0.130000s
% 0.68/0.72 % Output :CNFRefutation 0.130000s
% 0.68/0.72 %-------------------------------------------
% 0.68/0.72 %------------------------------------------------------------------------------
% 0.68/0.72 % File : GEO204+2 : TPTP v8.2.0. Released v3.3.0.
% 0.68/0.72 % Domain : Geometry (Constructive)
% 0.68/0.72 % Problem : Distinct points and equal lines
% 0.68/0.72 % Version : [vPl95] axioms : Reduced > Especial.
% 0.68/0.72 % English : If the points X and Y are distinct, and the points Y and Z are
% 0.68/0.72 % equal, then X and Z are distinct, and the line connecting X
% 0.68/0.72 % and Y is equivalent to the line connecting X and Z.
% 0.68/0.72
% 0.68/0.72 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.68/0.72 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.68/0.72 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.68/0.72 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.68/0.72 % Source : [ILTP]
% 0.68/0.72 % Names :
% 0.68/0.72
% 0.68/0.72 % Status : Theorem
% 0.68/0.72 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.17 v5.2.0, 0.21 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0, 0.15 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.68/0.72 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.68/0.72 % Number of atoms : 38 ( 0 equ)
% 0.68/0.72 % Maximal formula atoms : 6 ( 2 avg)
% 0.68/0.72 % Number of connectives : 30 ( 5 ~; 9 |; 4 &)
% 0.68/0.72 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.68/0.72 % Maximal formula depth : 9 ( 6 avg)
% 0.68/0.72 % Maximal term depth : 2 ( 1 avg)
% 0.68/0.72 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.68/0.72 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.68/0.72 % Number of variables : 33 ( 33 !; 0 ?)
% 0.68/0.72 % SPC : FOF_THM_RFO_NEQ
% 0.68/0.72
% 0.68/0.72 % Comments : Definitions unfolded, hence Especial.
% 0.68/0.72 %------------------------------------------------------------------------------
% 0.68/0.72 include('Axioms/GEO008+0.ax').
% 0.68/0.72 %------------------------------------------------------------------------------
% 0.68/0.72 fof(con,conjecture,
% 0.68/0.72 ! [X,Y,Z] :
% 0.68/0.72 ( ( distinct_points(X,Y)
% 0.68/0.72 & ~ distinct_points(Y,Z) )
% 0.68/0.72 => ( distinct_points(X,Z)
% 0.68/0.72 & ~ distinct_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ) ).
% 0.68/0.72
% 0.68/0.72 %------------------------------------------------------------------------------
% 0.68/0.72 %-------------------------------------------
% 0.68/0.72 % Proof found
% 0.68/0.72 % SZS status Theorem for theBenchmark
% 0.68/0.72 % SZS output start Proof
% 0.68/0.72 %ClaNum:17(EqnAxiom:0)
% 0.68/0.72 %VarNum:80(SingletonVarNum:36)
% 0.68/0.72 %MaxLitNum:6
% 0.68/0.72 %MaxfuncDepth:1
% 0.68/0.72 %SharedTerms:9
% 0.68/0.72 %goalClause: 1 2 12
% 0.68/0.72 %singleGoalClaCount:2
% 0.68/0.72 [1]P1(a1,a2)
% 0.68/0.72 [2]~P1(a2,a3)
% 0.68/0.72 [3]~P1(x31,x31)
% 0.68/0.72 [4]~P2(x41,x41)
% 0.68/0.72 [5]~P3(x51,x51)
% 0.68/0.72 [12]P2(f4(a1,a2),f4(a1,a3))+~P1(a1,a3)
% 0.68/0.73 [6]~P3(x61,x62)+P2(x61,x62)
% 0.68/0.73 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 0.68/0.73 [8]~P4(x81,x83)+P1(x81,x82)+P4(x82,x83)
% 0.68/0.73 [9]~P2(x93,x91)+P2(x91,x92)+P2(x93,x92)
% 0.68/0.73 [10]~P4(x103,x101)+P2(x101,x102)+P4(x103,x102)
% 0.68/0.73 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 0.68/0.73 [13]~P3(x132,x133)+~P4(x131,x133)+P1(x131,f5(x132,x133))
% 0.68/0.73 [14]~P3(x142,x143)+~P4(x141,x142)+P1(x141,f5(x142,x143))
% 0.68/0.73 [15]P1(x151,x152)+~P1(x153,x152)+~P4(x151,f4(x153,x152))
% 0.68/0.73 [16]P1(x161,x162)+~P1(x162,x163)+~P4(x161,f4(x162,x163))
% 0.68/0.73 [17]P4(x174,x173)+~P1(x174,x171)+~P2(x173,x172)+P4(x171,x172)+P4(x171,x173)+P4(x174,x172)
% 0.68/0.73 %EqnAxiom
% 0.68/0.73
% 0.68/0.73 %-------------------------------------------
% 0.68/0.73 cnf(18,plain,
% 0.68/0.73 (P1(a2,a1)),
% 0.68/0.73 inference(scs_inference,[],[1,3,7])).
% 0.68/0.73 cnf(27,plain,
% 0.68/0.73 (P1(a1,a3)),
% 0.68/0.73 inference(scs_inference,[],[2,18,7])).
% 0.68/0.73 cnf(29,plain,
% 0.68/0.73 (P2(f4(a1,a2),f4(a1,a3))),
% 0.68/0.73 inference(scs_inference,[],[27,12])).
% 0.68/0.73 cnf(42,plain,
% 0.68/0.73 (~P4(a1,f4(a1,a3))),
% 0.68/0.73 inference(scs_inference,[],[2,18,3,7,16])).
% 0.68/0.73 cnf(43,plain,
% 0.68/0.73 (~P4(a2,f4(a1,a2))),
% 0.68/0.73 inference(scs_inference,[],[2,1,7,15])).
% 0.68/0.73 cnf(44,plain,
% 0.68/0.73 (P4(a3,x441)+~P4(a2,x441)),
% 0.68/0.73 inference(scs_inference,[],[2,4,8,10])).
% 0.68/0.73 cnf(51,plain,
% 0.68/0.73 (~P4(x511,f4(a1,a2))+~P4(x511,f4(x511,a2))),
% 0.68/0.73 inference(scs_inference,[],[1,3,15,16])).
% 0.68/0.73 cnf(52,plain,
% 0.68/0.73 (P4(a1,f4(a1,a2))+P4(a3,f4(a1,a3))),
% 0.68/0.73 inference(scs_inference,[],[43,42,1,29,44,17])).
% 0.68/0.73 cnf(53,plain,
% 0.68/0.73 (P4(a1,f4(a1,a2))),
% 0.68/0.73 inference(scs_inference,[],[27,3,52,15])).
% 0.68/0.73 cnf(54,plain,
% 0.68/0.73 ($false),
% 0.68/0.73 inference(scs_inference,[],[53,51]),
% 0.68/0.73 ['proof']).
% 0.68/0.73 % SZS output end Proof
% 0.68/0.73 % Total time :0.130000s
%------------------------------------------------------------------------------