%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO196+2 : 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 : n019.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 06:04:25 EDT 2024
% Result : Theorem 53.49s 53.77s
% Output : CNFRefutation 53.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+2 : 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
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 08:14:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 53.49/53.76 %-------------------------------------------
% 53.49/53.76 % File :CSE---1.7
% 53.49/53.76 % Problem :theBenchmark
% 53.49/53.76 % Transform :cnf
% 53.49/53.76 % Format :tptp:raw
% 53.49/53.76 % Command :java -jar mcs_scs.jar %d %s
% 53.49/53.76
% 53.49/53.76 % Result :Theorem 52.990000s
% 53.49/53.76 % Output :CNFRefutation 52.990000s
% 53.49/53.76 %-------------------------------------------
% 53.49/53.77 %------------------------------------------------------------------------------
% 53.49/53.77 % File : GEO196+2 : TPTP v8.2.0. Released v3.3.0.
% 53.49/53.77 % Domain : Geometry (Constructive)
% 53.49/53.77 % Problem : Symmetry of incidence
% 53.49/53.77 % Version : [vPl95] axioms : Reduced > Especial.
% 53.49/53.77 % English : If the lines X and Y are convergent, U and V are convergent,
% 53.49/53.77 % and the intersection point of X and Y is incident with U and V,
% 53.49/53.77 % then the intersection point of U and V is incident with X and Y.
% 53.49/53.77
% 53.49/53.77 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 53.49/53.77 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 53.49/53.77 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 53.49/53.77 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 53.49/53.77 % Source : [ILTP]
% 53.49/53.77 % Names :
% 53.49/53.77
% 53.49/53.77 % Status : Theorem
% 53.49/53.77 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.21 v5.4.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.21 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 53.49/53.77 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 53.49/53.77 % Number of atoms : 40 ( 0 equ)
% 53.49/53.77 % Maximal formula atoms : 6 ( 3 avg)
% 53.49/53.77 % Number of connectives : 34 ( 7 ~; 9 |; 6 &)
% 53.49/53.77 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 53.49/53.77 % Maximal formula depth : 10 ( 6 avg)
% 53.49/53.77 % Maximal term depth : 2 ( 1 avg)
% 53.49/53.77 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 53.49/53.77 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 53.49/53.77 % Number of variables : 34 ( 34 !; 0 ?)
% 53.49/53.77 % SPC : FOF_THM_RFO_NEQ
% 53.49/53.77
% 53.49/53.77 % Comments : Definitions unfolded, hence Especial.
% 53.49/53.77 %------------------------------------------------------------------------------
% 53.49/53.77 include('Axioms/GEO008+0.ax').
% 53.49/53.77 %------------------------------------------------------------------------------
% 53.49/53.77 fof(con,conjecture,
% 53.49/53.77 ! [X,Y,U,V] :
% 53.49/53.77 ( ( convergent_lines(X,Y)
% 53.49/53.77 & convergent_lines(U,V)
% 53.49/53.77 & ~ apart_point_and_line(intersection_point(X,Y),U)
% 53.49/53.77 & ~ apart_point_and_line(intersection_point(X,Y),V) )
% 53.49/53.77 => ( ~ apart_point_and_line(intersection_point(U,V),X)
% 53.49/53.77 & ~ apart_point_and_line(intersection_point(U,V),Y) ) ) ).
% 53.49/53.77
% 53.49/53.77 %------------------------------------------------------------------------------
% 53.49/53.77 %-------------------------------------------
% 53.49/53.77 % Proof found
% 53.49/53.77 % SZS status Theorem for theBenchmark
% 53.49/53.77 % SZS output start Proof
% 53.59/53.77 %ClaNum:19(EqnAxiom:0)
% 53.59/53.77 %VarNum:80(SingletonVarNum:36)
% 53.59/53.77 %MaxLitNum:6
% 53.59/53.77 %MaxfuncDepth:1
% 53.59/53.77 %SharedTerms:12
% 53.59/53.77 %goalClause: 1 2 6 7 14
% 53.59/53.77 %singleGoalClaCount:4
% 53.59/53.77 [1]P1(a1,a2)
% 53.59/53.77 [2]P1(a3,a4)
% 53.59/53.77 [6]~P2(f5(a1,a2),a3)
% 53.59/53.77 [7]~P2(f5(a1,a2),a4)
% 53.59/53.77 [3]~P3(x31,x31)
% 53.59/53.77 [4]~P4(x41,x41)
% 53.59/53.77 [5]~P1(x51,x51)
% 53.59/53.77 [14]P2(f5(a3,a4),a2)+P2(f5(a3,a4),a1)
% 53.59/53.77 [8]~P1(x81,x82)+P4(x81,x82)
% 53.59/53.77 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 53.59/53.77 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 53.59/53.77 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 53.59/53.77 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 53.59/53.77 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 53.59/53.77 [15]~P1(x152,x153)+~P2(x151,x153)+P3(x151,f5(x152,x153))
% 53.59/53.77 [16]~P1(x162,x163)+~P2(x161,x162)+P3(x161,f5(x162,x163))
% 53.59/53.77 [17]P3(x171,x172)+~P3(x173,x172)+~P2(x171,f6(x173,x172))
% 53.59/53.77 [18]P3(x181,x182)+~P3(x182,x183)+~P2(x181,f6(x182,x183))
% 53.59/53.77 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 53.59/53.77 %EqnAxiom
% 53.59/53.77
% 53.59/53.77 %-------------------------------------------
% 53.59/53.78 cnf(23,plain,
% 53.59/53.78 (~P2(f5(a1,a2),a2)),
% 53.59/53.78 inference(scs_inference,[],[1,3,5,13,15])).
% 53.59/53.78 cnf(24,plain,
% 53.59/53.78 (~P3(x241,x241)),
% 53.59/53.78 inference(rename_variables,[],[3])).
% 53.59/53.78 cnf(26,plain,
% 53.59/53.78 (~P2(f5(a1,a2),a1)),
% 53.59/53.78 inference(scs_inference,[],[1,3,24,5,13,15,16])).
% 53.59/53.78 cnf(29,plain,
% 53.59/53.78 (P4(a4,a3)),
% 53.59/53.78 inference(scs_inference,[],[2,4,8,11])).
% 53.59/53.78 cnf(33,plain,
% 53.59/53.78 (~P2(f5(a3,a4),a4)),
% 53.59/53.78 inference(scs_inference,[],[2,29,3,4,11,15])).
% 53.59/53.78 cnf(34,plain,
% 53.59/53.78 (~P3(x341,x341)),
% 53.59/53.78 inference(rename_variables,[],[3])).
% 53.59/53.78 cnf(39,plain,
% 53.59/53.78 (~P2(f5(a3,a4),a3)),
% 53.59/53.78 inference(scs_inference,[],[2,29,3,34,4,5,11,15,13,16])).
% 53.59/53.78 cnf(42,plain,
% 53.59/53.78 (P3(f5(a3,a4),f5(a1,a2))+P2(f5(a3,a4),a2)),
% 53.59/53.78 inference(scs_inference,[],[26,14,10])).
% 53.59/53.78 cnf(196,plain,
% 53.59/53.78 (P3(f5(a3,a4),f5(a1,a2))),
% 53.59/53.78 inference(scs_inference,[],[23,42,10])).
% 53.59/53.78 cnf(197,plain,
% 53.59/53.78 (P3(f5(a1,a2),f5(a3,a4))),
% 53.59/53.78 inference(scs_inference,[],[196,3,9])).
% 53.59/53.78 cnf(1321,plain,
% 53.59/53.78 ($false),
% 53.59/53.78 inference(scs_inference,[],[7,6,33,197,29,39,19]),
% 53.59/53.78 ['proof']).
% 53.61/53.79 % SZS output end Proof
% 53.61/53.79 % Total time :52.990000s
%------------------------------------------------------------------------------