%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO179+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 : n001.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 06:04:13 EDT 2024
% Result : Theorem 0.88s 0.99s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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 06:04:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.88/0.98 %-------------------------------------------
% 0.88/0.98 % File :CSE---1.7
% 0.88/0.98 % Problem :theBenchmark
% 0.88/0.98 % Transform :cnf
% 0.88/0.98 % Format :tptp:raw
% 0.88/0.98 % Command :java -jar mcs_scs.jar %d %s
% 0.88/0.98
% 0.88/0.98 % Result :Theorem 0.380000s
% 0.88/0.98 % Output :CNFRefutation 0.380000s
% 0.88/0.98 %-------------------------------------------
% 0.88/0.99 %------------------------------------------------------------------------------
% 0.88/0.99 % File : GEO179+1 : TPTP v8.2.0. Released v3.3.0.
% 0.88/0.99 % Domain : Geometry (Constructive)
% 0.88/0.99 % Problem : Lemma on symmetry and apartness
% 0.88/0.99 % Version : [vPl95] axioms : Especial.
% 0.88/0.99 % English : If two points X and Y are distinct and a point Z is apart from
% 0.88/0.99 % the line connecting X and Y, then the line connecting X and Y
% 0.88/0.99 % is distinct from the line connecting Z and X and distinct from
% 0.88/0.99 % the line connecting Z and Y.
% 0.88/0.99
% 0.88/0.99 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.88/0.99 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.88/0.99 % Source : [ILTP]
% 0.88/0.99 % Names : Lemma 4.3.ii [vPl95]
% 0.88/0.99
% 0.88/0.99 % Status : Theorem
% 0.88/0.99 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.15 v3.7.0, 0.00 v3.3.0
% 0.88/0.99 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.88/0.99 % Number of atoms : 39 ( 0 equ)
% 0.88/0.99 % Maximal formula atoms : 6 ( 2 avg)
% 0.88/0.99 % Number of connectives : 31 ( 7 ~; 9 |; 3 &)
% 0.88/0.99 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.88/0.99 % Maximal formula depth : 9 ( 5 avg)
% 0.88/0.99 % Maximal term depth : 2 ( 1 avg)
% 0.88/0.99 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.88/0.99 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.88/0.99 % Number of variables : 36 ( 36 !; 0 ?)
% 0.88/0.99 % SPC : FOF_THM_RFO_NEQ
% 0.88/0.99
% 0.88/0.99 % Comments : Definitions unfolded, hence Especial.
% 0.88/0.99 %------------------------------------------------------------------------------
% 0.88/0.99 include('Axioms/GEO006+0.ax').
% 0.88/0.99 %------------------------------------------------------------------------------
% 0.88/0.99 fof(con,conjecture,
% 0.88/0.99 ! [X,Y,Z] :
% 0.88/0.99 ( ( distinct_points(X,Y)
% 0.88/0.99 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.88/0.99 => ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
% 0.88/0.99 & distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) ).
% 0.88/0.99
% 0.88/0.99 %------------------------------------------------------------------------------
% 0.88/0.99 %-------------------------------------------
% 0.88/0.99 % Proof found
% 0.88/0.99 % SZS status Theorem for theBenchmark
% 0.88/0.99 % SZS output start Proof
% 0.88/0.99 %ClaNum:17(EqnAxiom:0)
% 0.88/0.99 %VarNum:74(SingletonVarNum:33)
% 0.88/0.99 %MaxLitNum:6
% 0.88/0.99 %MaxfuncDepth:1
% 0.88/0.99 %SharedTerms:10
% 0.88/0.99 %goalClause: 1 2 17
% 0.88/0.99 %singleGoalClaCount:2
% 0.88/0.99 [1]P1(a1,a2)
% 0.88/0.99 [2]P2(a3,f4(a1,a2))
% 0.88/0.99 [3]~P1(x31,x31)
% 0.88/0.99 [4]~P3(x41,x41)
% 0.88/0.99 [5]~P4(x51,x51)
% 0.88/0.99 [17]~P3(f4(a1,a2),f4(a3,a2))+~P3(f4(a1,a2),f4(a3,a1))
% 0.88/0.99 [12]~P1(x121,x122)+~P2(x122,f4(x121,x122))
% 0.88/0.99 [13]~P1(x131,x132)+~P2(x131,f4(x131,x132))
% 0.88/0.99 [14]~P4(x141,x142)+~P2(f5(x141,x142),x142)
% 0.88/0.99 [15]~P4(x151,x152)+~P2(f5(x151,x152),x151)
% 0.88/0.99 [6]~P1(x63,x61)+P1(x61,x62)+P1(x63,x62)
% 0.88/0.99 [7]~P2(x71,x73)+P1(x71,x72)+P2(x72,x73)
% 0.88/0.99 [8]~P3(x83,x81)+P3(x81,x82)+P3(x83,x82)
% 0.88/0.99 [9]~P4(x93,x91)+P3(x91,x92)+P4(x93,x92)
% 0.88/0.99 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.88/0.99 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.88/0.99 [16]P2(x164,x163)+~P1(x164,x161)+~P3(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.88/0.99 %EqnAxiom
% 0.88/0.99
% 0.88/0.99 %-------------------------------------------
% 0.88/0.99 cnf(33,plain,
% 0.88/0.99 (P1(a3,a2)),
% 0.88/0.99 inference(scs_inference,[],[1,2,12,7])).
% 0.88/0.99 cnf(44,plain,
% 0.88/0.99 (~P2(a2,f4(a3,a2))),
% 0.88/0.99 inference(scs_inference,[],[33,4,12,10])).
% 0.88/0.99 cnf(45,plain,
% 0.88/0.99 (~P2(a1,f4(a1,a2))),
% 0.88/0.99 inference(scs_inference,[],[1,4,13,10])).
% 0.88/0.99 cnf(49,plain,
% 0.88/0.99 (~P2(x491,f4(a3,a2))+~P2(x491,f4(x491,a2))),
% 0.88/0.99 inference(scs_inference,[],[44,13,7])).
% 0.88/0.99 cnf(96,plain,
% 0.88/0.99 (P2(a3,f4(a3,a1))+~P3(f4(a1,a2),f4(a3,a2))),
% 0.88/0.99 inference(scs_inference,[],[2,17,10])).
% 0.88/0.99 cnf(97,plain,
% 0.88/0.99 (~P1(a3,a1)+~P3(f4(a1,a2),f4(a3,a2))),
% 0.88/0.99 inference(scs_inference,[],[96,13])).
% 0.88/0.99 cnf(100,plain,
% 0.88/0.99 (~P3(f4(a1,a2),f4(a3,a2))),
% 0.88/0.99 inference(scs_inference,[],[45,2,97,7])).
% 0.88/0.99 cnf(142,plain,
% 0.88/0.99 (~P2(a3,f4(a3,a2))),
% 0.88/0.99 inference(scs_inference,[],[100,2,49,10])).
% 0.88/0.99 cnf(143,plain,
% 0.88/0.99 ($false),
% 0.88/0.99 inference(scs_inference,[],[100,2,142,10]),
% 0.88/0.99 ['proof']).
% 0.88/0.99 % SZS output end Proof
% 0.88/0.99 % Total time :0.380000s
%------------------------------------------------------------------------------