%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO242+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : 600s
% DateTime : Sat Jul 16 05:25:48 EDT 2022
% Result : Theorem 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 20 ~; 5 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 6 sgn 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(a3_defns,axiom,
! [X,Y] :
( right_convergent_lines(X,Y)
<=> left_convergent_lines(X,reverse_line(Y)) ) ).
fof(ax11_basics,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ).
fof(con,conjecture,
! [A,B,L] :
( ( incident_point_and_line(A,L)
& distinct_points(A,B)
& right_convergent_lines(L,line_connecting(A,B)) )
=> right_apart_point(B,L) ) ).
fof(subgoal_0,plain,
! [A,B,L] :
( ( incident_point_and_line(A,L)
& distinct_points(A,B)
& right_convergent_lines(L,line_connecting(A,B)) )
=> right_apart_point(B,L) ),
inference(strip,[],[con]) ).
fof(negate_0_0,plain,
~ ! [A,B,L] :
( ( incident_point_and_line(A,L)
& distinct_points(A,B)
& right_convergent_lines(L,line_connecting(A,B)) )
=> right_apart_point(B,L) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,L] :
( ~ right_apart_point(B,L)
& distinct_points(A,B)
& incident_point_and_line(A,L)
& right_convergent_lines(L,line_connecting(A,B)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ right_apart_point(skolemFOFtoCNF_B,skolemFOFtoCNF_L)
& distinct_points(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
& incident_point_and_line(skolemFOFtoCNF_A,skolemFOFtoCNF_L)
& right_convergent_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
right_convergent_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ left_convergent_lines(X,reverse_line(Y))
<=> ~ right_convergent_lines(X,Y) ),
inference(canonicalize,[],[a3_defns]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ~ left_convergent_lines(X,reverse_line(Y))
<=> ~ right_convergent_lines(X,Y) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ( ~ left_convergent_lines(X,reverse_line(Y))
| right_convergent_lines(X,Y) )
& ( ~ right_convergent_lines(X,Y)
| left_convergent_lines(X,reverse_line(Y)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ right_convergent_lines(X,Y)
| left_convergent_lines(X,reverse_line(Y)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( ! [L,M] : ~ left_convergent_lines(L,M)
& ! [L,M] : ~ left_convergent_lines(L,reverse_line(M)) ),
inference(canonicalize,[],[ax11_basics]) ).
fof(normalize_0_8,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [L,M] : ~ left_convergent_lines(L,M),
inference(specialize,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
right_convergent_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ right_convergent_lines(X,Y)
| left_convergent_lines(X,reverse_line(Y)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
~ left_convergent_lines(L,M),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
~ left_convergent_lines(X,reverse_line(Y)),
inference(subst,[],[refute_0_2:[bind(L,$fot(X)),bind(M,$fot(reverse_line(Y)))]]) ).
cnf(refute_0_4,plain,
~ right_convergent_lines(X,Y),
inference(resolve,[$cnf( left_convergent_lines(X,reverse_line(Y)) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
~ right_convergent_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_L)),bind(Y,$fot(line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( right_convergent_lines(skolemFOFtoCNF_L,line_connecting(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_0,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO242+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 18 10:02:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36
% 0.18/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.36
%------------------------------------------------------------------------------