TSTP Solution File: GEO147+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 05:24:40 EDT 2022
% Result : Theorem 0.92s 1.12s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 88 ( 30 unt; 0 def)
% Number of atoms : 172 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 160 ( 76 ~; 48 |; 20 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 126 ( 2 sgn 85 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ) ).
fof(conjunction_at_the_same_time,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
=> ( once(A)
& once(B) ) ) ).
fof(at_on_trajectory,axiom,
! [X,P] :
( once(at(X,P))
<=> incident_o(P,trajectory_of(X)) ) ).
fof(trajectories_are_oriented_curves,axiom,
! [X] :
? [O] : trajectory_of(X) = O ).
fof(t13,conjecture,
! [P,X,Y] :
( connect(X,Y,P)
=> ( incident_o(P,trajectory_of(X))
& incident_o(P,trajectory_of(Y)) ) ) ).
fof(subgoal_0,plain,
! [P,X,Y] :
( connect(X,Y,P)
=> incident_o(P,trajectory_of(X)) ),
inference(strip,[],[t13]) ).
fof(subgoal_1,plain,
! [P,X,Y] :
( ( connect(X,Y,P)
& incident_o(P,trajectory_of(X)) )
=> incident_o(P,trajectory_of(Y)) ),
inference(strip,[],[t13]) ).
fof(negate_0_0,plain,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> incident_o(P,trajectory_of(X)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [P,X] :
( ~ incident_o(P,trajectory_of(X))
<=> ~ once(at(X,P)) ),
inference(canonicalize,[],[at_on_trajectory]) ).
fof(normalize_0_1,plain,
! [P,X] :
( ~ incident_o(P,trajectory_of(X))
<=> ~ once(at(X,P)) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [P,X] :
( ( ~ incident_o(P,trajectory_of(X))
| once(at(X,P)) )
& ( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [P,X] :
( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
? [O] : trajectory_of(X) = O,
inference(canonicalize,[],[trajectories_are_oriented_curves]) ).
fof(normalize_0_5,plain,
! [X] :
? [O] : trajectory_of(X) = O,
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] : trajectory_of(X) = skolemFOFtoCNF_O_1(X),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| ( once(A)
& once(B) ) ),
inference(canonicalize,[],[conjunction_at_the_same_time]) ).
fof(normalize_0_8,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| ( once(A)
& once(B) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ( ~ once(at_the_same_time(A,B))
| once(A) )
& ( ~ once(at_the_same_time(A,B))
| once(B) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| once(A) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
? [P,X] :
( ~ incident_o(P,trajectory_of(X))
& ? [Y] : connect(X,Y,P) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_12,plain,
( ~ incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X))
& ? [Y] : connect(skolemFOFtoCNF_X,Y,skolemFOFtoCNF_P_9) ),
inference(skolemize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [Y] : connect(skolemFOFtoCNF_X,Y,skolemFOFtoCNF_P_9),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,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_16,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,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_16]) ).
fof(normalize_0_18,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
~ incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
trajectory_of(X) = skolemFOFtoCNF_O_1(X),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( trajectory_of(X) != skolemFOFtoCNF_O_1(X)
| ~ incident_o(P,trajectory_of(X))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
introduced(tautology,[equality,[$cnf( incident_o(P,trajectory_of(X)) ),[1],$fot(skolemFOFtoCNF_O_1(X))]]) ).
cnf(refute_0_3,plain,
( ~ incident_o(P,trajectory_of(X))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
inference(resolve,[$cnf( $equal(trajectory_of(X),skolemFOFtoCNF_O_1(X)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ once(at(X,P))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
inference(resolve,[$cnf( incident_o(P,trajectory_of(X)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ once(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))
| incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_4:[bind(P,$fot(skolemFOFtoCNF_P_9)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( ~ once(at_the_same_time(A,B))
| once(A) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9)))
| once(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9)) ),
inference(subst,[],[refute_0_6:[bind(A,$fot(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9))),bind(B,$fot(at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9)))]]) ).
cnf(refute_0_8,plain,
connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_9,plain,
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_10,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_9:[bind(P,$fot(skolemFOFtoCNF_P_9)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_11,plain,
once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9))),
inference(resolve,[$cnf( connect(skolemFOFtoCNF_X,skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
once(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9)),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9),at(skolemFOFtoCNF_Y,skolemFOFtoCNF_P_9))) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)),
inference(resolve,[$cnf( once(at(skolemFOFtoCNF_X,skolemFOFtoCNF_P_9)) )],[refute_0_12,refute_0_5]) ).
cnf(refute_0_14,plain,
~ incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_15,plain,
trajectory_of(skolemFOFtoCNF_X) = skolemFOFtoCNF_O_1(skolemFOFtoCNF_X),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_16,plain,
( trajectory_of(skolemFOFtoCNF_X) != skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)
| ~ incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X))
| incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)) ),
introduced(tautology,[equality,[$cnf( ~ incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)) ),[1],$fot(skolemFOFtoCNF_O_1(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_17,plain,
( ~ incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X))
| incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( $equal(trajectory_of(skolemFOFtoCNF_X),skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
~ incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)),
inference(resolve,[$cnf( incident_o(skolemFOFtoCNF_P_9,trajectory_of(skolemFOFtoCNF_X)) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( incident_o(skolemFOFtoCNF_P_9,skolemFOFtoCNF_O_1(skolemFOFtoCNF_X)) )],[refute_0_13,refute_0_18]) ).
fof(negate_1_0,plain,
~ ! [P,X,Y] :
( ( connect(X,Y,P)
& incident_o(P,trajectory_of(X)) )
=> incident_o(P,trajectory_of(Y)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [P,X] :
( ~ incident_o(P,trajectory_of(X))
<=> ~ once(at(X,P)) ),
inference(canonicalize,[],[at_on_trajectory]) ).
fof(normalize_1_1,plain,
! [P,X] :
( ~ incident_o(P,trajectory_of(X))
<=> ~ once(at(X,P)) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [P,X] :
( ( ~ incident_o(P,trajectory_of(X))
| once(at(X,P)) )
& ( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [P,X] :
( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [X] :
? [O] : trajectory_of(X) = O,
inference(canonicalize,[],[trajectories_are_oriented_curves]) ).
fof(normalize_1_5,plain,
! [X] :
? [O] : trajectory_of(X) = O,
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X] : trajectory_of(X) = skolemFOFtoCNF_O_1(X),
inference(skolemize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| ( once(A)
& once(B) ) ),
inference(canonicalize,[],[conjunction_at_the_same_time]) ).
fof(normalize_1_8,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| ( once(A)
& once(B) ) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A,B] :
( ( ~ once(at_the_same_time(A,B))
| once(A) )
& ( ~ once(at_the_same_time(A,B))
| once(B) ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| once(B) ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
? [P,X,Y] :
( ~ incident_o(P,trajectory_of(Y))
& connect(X,Y,P)
& incident_o(P,trajectory_of(X)) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_12,plain,
( ~ incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1))
& connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)
& incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_X_1)) ),
inference(skolemize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,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_15,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
<=> ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,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_15]) ).
fof(normalize_1_17,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
~ incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)),
inference(conjunct,[],[normalize_1_12]) ).
cnf(refute_1_0,plain,
( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
trajectory_of(X) = skolemFOFtoCNF_O_1(X),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( trajectory_of(X) != skolemFOFtoCNF_O_1(X)
| ~ incident_o(P,trajectory_of(X))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
introduced(tautology,[equality,[$cnf( incident_o(P,trajectory_of(X)) ),[1],$fot(skolemFOFtoCNF_O_1(X))]]) ).
cnf(refute_1_3,plain,
( ~ incident_o(P,trajectory_of(X))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
inference(resolve,[$cnf( $equal(trajectory_of(X),skolemFOFtoCNF_O_1(X)) )],[refute_1_1,refute_1_2]) ).
cnf(refute_1_4,plain,
( ~ once(at(X,P))
| incident_o(P,skolemFOFtoCNF_O_1(X)) ),
inference(resolve,[$cnf( incident_o(P,trajectory_of(X)) )],[refute_1_0,refute_1_3]) ).
cnf(refute_1_5,plain,
( ~ once(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))
| incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)) ),
inference(subst,[],[refute_1_4:[bind(P,$fot(skolemFOFtoCNF_P_10)),bind(X,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_6,plain,
( ~ once(at_the_same_time(A,B))
| once(B) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_7,plain,
( ~ once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)))
| once(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)) ),
inference(subst,[],[refute_1_6:[bind(A,$fot(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10))),bind(B,$fot(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)))]]) ).
cnf(refute_1_8,plain,
connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_9,plain,
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_10,plain,
( ~ connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_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_9:[bind(P,$fot(skolemFOFtoCNF_P_10)),bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_11,plain,
once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))),
inference(resolve,[$cnf( connect(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10) )],[refute_1_8,refute_1_10]) ).
cnf(refute_1_12,plain,
once(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)),
inference(resolve,[$cnf( once(at_the_same_time(at(skolemFOFtoCNF_X_1,skolemFOFtoCNF_P_10),at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10))) )],[refute_1_11,refute_1_7]) ).
cnf(refute_1_13,plain,
incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)),
inference(resolve,[$cnf( once(at(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_P_10)) )],[refute_1_12,refute_1_5]) ).
cnf(refute_1_14,plain,
~ incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_15,plain,
trajectory_of(skolemFOFtoCNF_Y_1) = skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1),
inference(subst,[],[refute_1_1:[bind(X,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_16,plain,
( trajectory_of(skolemFOFtoCNF_Y_1) != skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)
| ~ incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1))
| incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)) ),
introduced(tautology,[equality,[$cnf( ~ incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)) ),[1],$fot(skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_17,plain,
( ~ incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1))
| incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)) ),
inference(resolve,[$cnf( $equal(trajectory_of(skolemFOFtoCNF_Y_1),skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
~ incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)),
inference(resolve,[$cnf( incident_o(skolemFOFtoCNF_P_10,trajectory_of(skolemFOFtoCNF_Y_1)) )],[refute_1_17,refute_1_14]) ).
cnf(refute_1_19,plain,
$false,
inference(resolve,[$cnf( incident_o(skolemFOFtoCNF_P_10,skolemFOFtoCNF_O_1(skolemFOFtoCNF_Y_1)) )],[refute_1_13,refute_1_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 06:50:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.12
% 0.92/1.12 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.13
%------------------------------------------------------------------------------