%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 29 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [A,B,C] :
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,axiom,
! [A] : trajectory_of(A) = ax3_sk1(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [A,B,C,D,E,F] :
( ~ ordered_by(trajectory_of(C),F,D)
| ~ ordered_by(trajectory_of(A),B,E)
| ~ once(at_the_same_time(at(A,E),at(C,F)))
| ~ once(at_the_same_time(at(A,B),at(C,D))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
connect(sk28,sk29,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f243,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f256,plain,
! [X0] : trajectory_of(X0) = ax3_sk1(X0),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f257,plain,
! [C,D,F] :
( ~ ordered_by(trajectory_of(C),F,D)
| ! [A,B,E] :
( ~ ordered_by(trajectory_of(A),B,E)
| ~ once(at_the_same_time(at(A,E),at(C,F)))
| ~ once(at_the_same_time(at(A,B),at(C,D))) ) ),
inference(miniscoping,[status(thm)],[f109]) ).
fof(f258,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)],[f257]) ).
fof(f261,plain,
connect(sk28,sk29,sk27),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f262,plain,
ordered_by(trajectory_of(sk29),sk31,sk27),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f263,plain,
ordered_by(trajectory_of(sk28),sk27,sk30),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f264,plain,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f272,plain,
ordered_by(ax3_sk1(sk28),sk27,sk30),
inference(backward_demodulation,[status(thm)],[f256,f263]) ).
fof(f273,plain,
ordered_by(ax3_sk1(sk29),sk31,sk27),
inference(backward_demodulation,[status(thm)],[f256,f262]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X2),X5,X3)
| ~ ordered_by(ax3_sk1(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)],[f256,f258]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(ax3_sk1(X2),X5,X3)
| ~ ordered_by(ax3_sk1(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)],[f256,f282]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ ordered_by(ax3_sk1(X0),X1,X2)
| ~ once(at_the_same_time(at(X0,X2),at(sk29,sk31)))
| ~ once(at_the_same_time(at(X0,X1),at(sk29,sk27))) ),
inference(resolution,[status(thm)],[f283,f273]) ).
fof(f287,plain,
( ~ once(at_the_same_time(at(sk28,sk30),at(sk29,sk31)))
| ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))) ),
inference(resolution,[status(thm)],[f284,f272]) ).
fof(f289,plain,
~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
inference(forward_subsumption_resolution,[status(thm)],[f287,f264]) ).
fof(f293,plain,
~ connect(sk28,sk29,sk27),
inference(resolution,[status(thm)],[f289,f243]) ).
fof(f297,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f293,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO148-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n007.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 12:31:49 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.57 % Elapsed time: 0.125169 seconds
% 0.24/0.57 % CPU time: 0.118663 seconds
% 0.24/0.57 % Total memory used: 6.710 MB
% 0.24/0.57 % Net memory used: 6.704 MB
%------------------------------------------------------------------------------