%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:12 PM UTC 2026
% Result : Theorem 0.18s 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 65 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 20 |; 12 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 61 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
? [O] : trajectory_of(X) = O,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [P1,P2,Q1,Q2,X,Y] :
( ( once(at_the_same_time(at(X,Q1),at(Y,Q2)))
& once(at_the_same_time(at(X,P1),at(Y,P2))) )
=> ~ ( ordered_by(trajectory_of(Y),Q2,P2)
& ordered_by(trajectory_of(X),P1,Q1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [P,X,Y] :
( connect(X,Y,P)
=> ! [Q1,Q2] :
( ( ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
=> ~ once(at_the_same_time(at(X,Q1),at(Y,Q2))) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f197,plain,
! [X,Y,P] :
( ( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(NNF_transformation,[status(thm)],[f28]) ).
fof(f198,plain,
( ! [X,Y,P] :
( ~ once(at_the_same_time(at(X,P),at(Y,P)))
| connect(X,Y,P) )
& ! [X,Y,P] :
( once(at_the_same_time(at(X,P),at(Y,P)))
| ~ connect(X,Y,P) ) ),
inference(miniscoping,[status(thm)],[f197]) ).
fof(f199,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f218,plain,
! [X] : trajectory_of(X) = sK24_skl(X),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(O,sK24_skl(X))],[f34]) ).
fof(f219,plain,
! [X0] : trajectory_of(X0) = sK24_skl(X0),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
! [P1,P2,Q1,Q2,X,Y] :
( ~ ordered_by(trajectory_of(Y),Q2,P2)
| ~ ordered_by(trajectory_of(X),P1,Q1)
| ~ once(at_the_same_time(at(X,Q1),at(Y,Q2)))
| ~ once(at_the_same_time(at(X,P1),at(Y,P2))) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f221,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X2),X5,X3)
| ~ ordered_by(trajectory_of(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f225,plain,
? [P,X,Y] :
( ? [Q1,Q2] :
( once(at_the_same_time(at(X,Q1),at(Y,Q2)))
& ordered_by(trajectory_of(X),P,Q1)
& ordered_by(trajectory_of(Y),Q2,P) )
& connect(X,Y,P) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f226,plain,
( once(at_the_same_time(at(sK27_skl,sK29_skl),at(sK28_skl,sK30_skl)))
& ordered_by(trajectory_of(sK27_skl),sK26_skl,sK29_skl)
& ordered_by(trajectory_of(sK28_skl),sK30_skl,sK26_skl)
& connect(sK27_skl,sK28_skl,sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl]),skolemize(P,sK26_skl),skolemize(X,sK27_skl),skolemize(Y,sK28_skl),skolemize(Q1,sK29_skl),skolemize(Q2,sK30_skl)],[f225]) ).
fof(f227,plain,
connect(sK27_skl,sK28_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
ordered_by(trajectory_of(sK28_skl),sK30_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f229,plain,
ordered_by(trajectory_of(sK27_skl),sK26_skl,sK29_skl),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f230,plain,
once(at_the_same_time(at(sK27_skl,sK29_skl),at(sK28_skl,sK30_skl))),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f238,plain,
ordered_by(sK24_skl(sK27_skl),sK26_skl,sK29_skl),
inference(backward_demodulation,[status(thm)],[f219,f229]) ).
fof(f239,plain,
ordered_by(sK24_skl(sK28_skl),sK30_skl,sK26_skl),
inference(backward_demodulation,[status(thm)],[f219,f228]) ).
fof(f248,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X2),X5,X3)
| ~ ordered_by(sK24_skl(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(forward_demodulation,[status(thm)],[f219,f221]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(sK24_skl(X2),X5,X3)
| ~ ordered_by(sK24_skl(X0),X1,X4)
| ~ once(at_the_same_time(at(X0,X4),at(X2,X5)))
| ~ once(at_the_same_time(at(X0,X1),at(X2,X3))) ),
inference(forward_demodulation,[status(thm)],[f219,f248]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ~ ordered_by(sK24_skl(X0),X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(sK28_skl,sK30_skl)))
| ~ once(at_the_same_time(at(X0,X1),at(sK28_skl,sK26_skl))) ),
inference(resolution,[status(thm)],[f249,f239]) ).
fof(f253,plain,
( ~ once(at_the_same_time(at(sK27_skl,sK29_skl),at(sK28_skl,sK30_skl)))
| ~ once(at_the_same_time(at(sK27_skl,sK26_skl),at(sK28_skl,sK26_skl))) ),
inference(resolution,[status(thm)],[f250,f238]) ).
fof(f255,plain,
~ once(at_the_same_time(at(sK27_skl,sK26_skl),at(sK28_skl,sK26_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f253,f230]) ).
fof(f259,plain,
~ connect(sK27_skl,sK28_skl,sK26_skl),
inference(resolution,[status(thm)],[f255,f199]) ).
fof(f263,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f259,f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO148+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n011.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 20 12:30:10 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.51 % Drodi V4.1.1
% 0.18/0.53 % Refutation found
% 0.18/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.59 % Elapsed time: 0.105225 seconds
% 0.23/0.59 % CPU time: 0.122484 seconds
% 0.23/0.59 % Total memory used: 6.801 MB
% 0.23/0.59 % Net memory used: 6.781 MB
%------------------------------------------------------------------------------