TSTP Solution File: GEO146+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 05:24:39 EDT 2022
% Result : Theorem 0.67s 0.85s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 101 ( 52 ~; 26 |; 8 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 88 ( 0 sgn 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ) ).
fof(symmetry_of_at_the_same_time,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ) ).
fof(t12,conjecture,
! [X,Y,P] :
( connect(X,Y,P)
<=> connect(Y,X,P) ) ).
fof(subgoal_0,plain,
! [X,Y,P] :
( connect(X,Y,P)
=> connect(Y,X,P) ),
inference(strip,[],[t12]) ).
fof(subgoal_1,plain,
! [X,Y,P] :
( connect(Y,X,P)
=> connect(X,Y,P) ),
inference(strip,[],[t12]) ).
fof(negate_0_0,plain,
~ ! [X,Y,P] :
( connect(X,Y,P)
=> connect(Y,X,P) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
<=> ~ once(at_the_same_time(B,A)) ),
inference(canonicalize,[],[symmetry_of_at_the_same_time]) ).
fof(normalize_0_1,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
<=> ~ once(at_the_same_time(B,A)) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) )
& ( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [P,X,Y] :
( ~ connect(Y,X,P)
& connect(X,Y,P) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9)
& connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[connect_defn]) ).
fof(normalize_0_8,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [P,X,Y] :
( ( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) )
& ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [P,X,Y] :
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_12,plain,
~ connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9)))
| once(at_the_same_time(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))),bind(B,$fot(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9)))]]) ).
cnf(refute_0_2,plain,
connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_4,plain,
( ~ connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9)
| once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9))) ),
inference(subst,[],[refute_0_3:[bind(P,$fot(skolemFOFtoCNF_P_9)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_5,plain,
once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9))),
inference(resolve,[$cnf( connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
once(at_the_same_time(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9))) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9)))
| connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9) ),
inference(subst,[],[refute_0_7:[bind(P,$fot(skolemFOFtoCNF_P_9)),bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
~ connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
$false,
inference(resolve,[$cnf( connect(skolemFOFtoCNF_Y,skolemFOFtoCNF_X,skolemFOFtoCNF_P_9) )],[refute_0_9,refute_0_10]) ).
fof(negate_1_0,plain,
~ ! [X,Y,P] :
( connect(Y,X,P)
=> connect(X,Y,P) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[connect_defn]) ).
fof(normalize_1_1,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [P,X,Y] :
( ( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) )
& ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [P,X,Y] :
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
<=> ~ once(at_the_same_time(B,A)) ),
inference(canonicalize,[],[symmetry_of_at_the_same_time]) ).
fof(normalize_1_5,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
<=> ~ once(at_the_same_time(B,A)) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A,B] :
( ( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) )
& ( ~ once(at_the_same_time(B,A))
| once(at_the_same_time(A,B)) ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
? [P,X,Y] :
( ~ connect(X,Y,P)
& connect(Y,X,P) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_9,plain,
( ~ connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)
& connect(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10) ),
inference(skolemize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
connect(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_12,plain,
~ connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),
inference(conjunct,[],[normalize_1_9]) ).
cnf(refute_1_0,plain,
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)))
| connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10) ),
inference(subst,[],[refute_1_0:[bind(P,$fot(skolemFOFtoCNF_P_10)),bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_2,plain,
( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10)))
| once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))) ),
inference(subst,[],[refute_1_2:[bind(A,$fot(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))),bind(B,$fot(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10)))]]) ).
cnf(refute_1_4,plain,
connect(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_5,plain,
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_6,plain,
( ~ connect(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10)
| once(at_the_same_time(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10))) ),
inference(subst,[],[refute_1_5:[bind(P,$fot(skolemFOFtoCNF_P_10)),bind(X,$fot(skolemFOFtoCNF_Y_1)),bind(Y,$fot(skolemFOFtoCNF_X_1))]]) ).
cnf(refute_1_7,plain,
once(at_the_same_time(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10))),
inference(resolve,[$cnf( connect(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10) )],[refute_1_4,refute_1_6]) ).
cnf(refute_1_8,plain,
once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10))) )],[refute_1_7,refute_1_3]) ).
cnf(refute_1_9,plain,
connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))) )],[refute_1_8,refute_1_1]) ).
cnf(refute_1_10,plain,
~ connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_11,plain,
$false,
inference(resolve,[$cnf( connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10) )],[refute_1_9,refute_1_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 05:52:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.67/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.85
% 0.67/0.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.67/0.85
%------------------------------------------------------------------------------