%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO204+1 : 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 : n027.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 7.95s 8.01s
% Output : CNFRefutation 7.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO204+1 : 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
% 0.12/0.33 % Computer : n027.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 08:58:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 7.95/8.01 %-------------------------------------------
% 7.95/8.01 % File :CSE---1.7
% 7.95/8.01 % Problem :theBenchmark
% 7.95/8.01 % Transform :cnf
% 7.95/8.01 % Format :tptp:raw
% 7.95/8.01 % Command :java -jar mcs_scs.jar %d %s
% 7.95/8.01
% 7.95/8.01 % Result :Theorem 7.410000s
% 7.95/8.01 % Output :CNFRefutation 7.410000s
% 7.95/8.01 %-------------------------------------------
% 7.95/8.01 %------------------------------------------------------------------------------
% 7.95/8.01 % File : GEO204+1 : TPTP v8.2.0. Released v3.3.0.
% 7.95/8.01 % Domain : Geometry (Constructive)
% 7.95/8.01 % Problem : Distinct points and equal lines
% 7.95/8.01 % Version : [vPl95] axioms : Especial.
% 7.95/8.01 % English : If the points X and Y are distinct, and the points Y and Z are
% 7.95/8.01 % equal, then X and Z are distinct, and the line connecting X
% 7.95/8.01 % and Y is equivalent to the line connecting X and Z.
% 7.95/8.01
% 7.95/8.01 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 7.95/8.01 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 7.95/8.01 % Source : [ILTP]
% 7.95/8.01 % Names : Theorem 5.5 [vPl95]
% 7.95/8.01
% 7.95/8.01 % Status : Theorem
% 7.95/8.01 % 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, 0.26 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.20 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 7.95/8.01 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 7.95/8.01 % Number of atoms : 39 ( 0 equ)
% 7.95/8.01 % Maximal formula atoms : 6 ( 2 avg)
% 7.95/8.01 % Number of connectives : 33 ( 9 ~; 9 |; 3 &)
% 7.95/8.01 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 7.95/8.01 % Maximal formula depth : 9 ( 5 avg)
% 7.95/8.01 % Maximal term depth : 2 ( 1 avg)
% 7.95/8.01 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 7.95/8.01 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 7.95/8.01 % Number of variables : 36 ( 36 !; 0 ?)
% 7.95/8.01 % SPC : FOF_THM_RFO_NEQ
% 7.95/8.01
% 7.95/8.01 % Comments : Definitions unfolded, hence Especial.
% 7.95/8.01 %------------------------------------------------------------------------------
% 7.95/8.01 include('Axioms/GEO006+0.ax').
% 7.95/8.01 %------------------------------------------------------------------------------
% 7.95/8.01 fof(con,conjecture,
% 7.95/8.01 ! [X,Y,Z] :
% 7.95/8.01 ( ( distinct_points(X,Y)
% 7.95/8.01 & ~ distinct_points(Y,Z) )
% 7.95/8.01 => ( distinct_points(X,Z)
% 7.95/8.01 & ~ distinct_lines(line_connecting(X,Y),line_connecting(X,Z)) ) ) ).
% 7.95/8.01
% 7.95/8.01 %------------------------------------------------------------------------------
% 7.95/8.01 %-------------------------------------------
% 7.95/8.01 % Proof found
% 7.95/8.01 % SZS status Theorem for theBenchmark
% 7.95/8.01 % SZS output start Proof
% 7.95/8.02 %ClaNum:17(EqnAxiom:0)
% 7.95/8.02 %VarNum:74(SingletonVarNum:33)
% 7.95/8.02 %MaxLitNum:6
% 7.95/8.02 %MaxfuncDepth:1
% 7.95/8.02 %SharedTerms:9
% 7.95/8.02 %goalClause: 1 2 12
% 7.95/8.02 %singleGoalClaCount:2
% 7.95/8.02 [1]P1(a1,a2)
% 7.95/8.02 [2]~P1(a2,a3)
% 7.95/8.02 [3]~P1(x31,x31)
% 7.95/8.02 [4]~P2(x41,x41)
% 7.95/8.02 [5]~P3(x51,x51)
% 7.95/8.02 [12]P2(f4(a1,a2),f4(a1,a3))+~P1(a1,a3)
% 7.95/8.02 [13]~P1(x131,x132)+~P4(x132,f4(x131,x132))
% 7.95/8.02 [14]~P1(x141,x142)+~P4(x141,f4(x141,x142))
% 7.95/8.02 [15]~P3(x151,x152)+~P4(f5(x151,x152),x152)
% 7.95/8.02 [16]~P3(x161,x162)+~P4(f5(x161,x162),x161)
% 7.95/8.02 [6]~P1(x63,x61)+P1(x61,x62)+P1(x63,x62)
% 7.95/8.02 [7]~P4(x71,x73)+P1(x71,x72)+P4(x72,x73)
% 7.95/8.02 [8]~P2(x83,x81)+P2(x81,x82)+P2(x83,x82)
% 7.95/8.02 [9]~P3(x93,x91)+P2(x91,x92)+P3(x93,x92)
% 7.95/8.02 [10]~P4(x103,x101)+P2(x101,x102)+P4(x103,x102)
% 7.95/8.02 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 7.95/8.02 [17]P4(x174,x173)+~P1(x174,x171)+~P2(x173,x172)+P4(x171,x172)+P4(x171,x173)+P4(x174,x172)
% 7.95/8.02 %EqnAxiom
% 7.95/8.02
% 7.95/8.02 %-------------------------------------------
% 7.95/8.02 cnf(18,plain,
% 7.95/8.02 (P1(a2,a1)),
% 7.95/8.02 inference(scs_inference,[],[1,3,6])).
% 7.95/8.02 cnf(21,plain,
% 7.95/8.02 (P1(a1,a3)),
% 7.95/8.02 inference(scs_inference,[],[2,18,6])).
% 7.95/8.02 cnf(23,plain,
% 7.95/8.02 (P2(f4(a1,a2),f4(a1,a3))),
% 7.95/8.02 inference(scs_inference,[],[21,12])).
% 7.95/8.02 cnf(27,plain,
% 7.95/8.02 (~P4(a3,f4(a1,a3))),
% 7.95/8.02 inference(scs_inference,[],[2,18,13,6])).
% 7.95/8.02 cnf(28,plain,
% 7.95/8.02 (~P4(a2,f4(a1,a3))),
% 7.95/8.02 inference(scs_inference,[],[2,27,7])).
% 7.95/8.02 cnf(30,plain,
% 7.95/8.02 (~P1(a3,a2)),
% 7.95/8.02 inference(scs_inference,[],[2,27,3,7,6])).
% 7.95/8.02 cnf(33,plain,
% 7.95/8.02 (~P4(a1,f4(a1,a3))),
% 7.95/8.02 inference(scs_inference,[],[2,18,14,6])).
% 7.95/8.02 cnf(36,plain,
% 7.95/8.02 (~P4(a3,f4(a1,a2))),
% 7.95/8.02 inference(scs_inference,[],[1,30,13,7])).
% 7.95/8.02 cnf(37,plain,
% 7.95/8.02 (~P4(a2,f4(a1,a2))),
% 7.95/8.02 inference(scs_inference,[],[2,36,7])).
% 7.95/8.02 cnf(41,plain,
% 7.95/8.02 (~P4(a1,f4(a1,a2))),
% 7.95/8.02 inference(scs_inference,[],[1,4,14,10])).
% 7.95/8.02 cnf(187,plain,
% 7.95/8.02 ($false),
% 7.95/8.02 inference(scs_inference,[],[23,4,28,18,33,41,37,8,17]),
% 7.95/8.02 ['proof']).
% 7.95/8.02 % SZS output end Proof
% 7.95/8.02 % Total time :7.410000s
%------------------------------------------------------------------------------