%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 07:17:11 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(connect_defn_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( once(at_the_same_time(at(VAR_0,VAR_2),at(VAR_1,VAR_2)))
| ~ connect(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',connect_defn_1) ).
cnf(c_44,plain,
( once(at_the_same_time(at(A,C),at(B,C)))
| ~ connect(A,B,C) ),
inference(clausify,[status(thm)],[connect_defn_1]) ).
fof(t13_156,axiom,
connect(sk28,sk29,sk27),
file('theBenchmark.p',t13_156) ).
cnf(c_45,plain,
connect(sk28,sk29,sk27),
inference(clausify,[status(thm)],[t13_156]) ).
cnf(c_46,plain,
once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
inference(resolve,[status(thm)],[c_45,c_44]) ).
fof(t13_157,axiom,
( ~ incident_o(sk27,trajectory_of(sk29))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
file('theBenchmark.p',t13_157) ).
cnf(c_81,plain,
( ~ incident_o(sk27,trajectory_of(sk29))
| ~ incident_o(sk27,trajectory_of(sk28)) ),
inference(clausify,[status(thm)],[t13_157]) ).
fof(at_on_trajectory_10,axiom,
! [VAR_0,VAR_1] :
( incident_o(VAR_1,trajectory_of(VAR_0))
| ~ once(at(VAR_0,VAR_1)) ),
file('theBenchmark.p',at_on_trajectory_10) ).
cnf(c_86,plain,
( incident_o(B,trajectory_of(A))
| ~ once(at(A,B)) ),
inference(clausify,[status(thm)],[at_on_trajectory_10]) ).
fof(conjunction_at_the_same_time_9,axiom,
! [VAR_0,VAR_1] :
( once(VAR_1)
| ~ once(at_the_same_time(VAR_0,VAR_1)) ),
file('theBenchmark.p',conjunction_at_the_same_time_9) ).
cnf(c_87,plain,
( once(B)
| ~ once(at_the_same_time(A,B)) ),
inference(clausify,[status(thm)],[conjunction_at_the_same_time_9]) ).
fof(conjunction_at_the_same_time_8,axiom,
! [VAR_0,VAR_1] :
( once(VAR_0)
| ~ once(at_the_same_time(VAR_0,VAR_1)) ),
file('theBenchmark.p',conjunction_at_the_same_time_8) ).
cnf(c_88,plain,
( once(A)
| ~ once(at_the_same_time(A,B)) ),
inference(clausify,[status(thm)],[conjunction_at_the_same_time_8]) ).
cnf(c_239,plain,
once(at(sk29,sk27)),
inference(resolve,[status(thm)],[c_87,c_46]) ).
cnf(c_240,plain,
once(at(sk28,sk27)),
inference(resolve,[status(thm)],[c_88,c_46]) ).
cnf(c_721,plain,
incident_o(sk27,trajectory_of(sk29)),
inference(resolve,[status(thm)],[c_239,c_86]) ).
cnf(c_723,plain,
~ incident_o(sk27,trajectory_of(sk28)),
inference(resolve,[status(thm)],[c_721,c_81]) ).
cnf(c_726,plain,
incident_o(sk27,trajectory_of(sk28)),
inference(resolve,[status(thm)],[c_240,c_86]) ).
cnf(c_725,plain,
$false,
inference(resolve,[status(thm)],[c_723,c_726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 12:56:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 271740 was started by sandbox on n014,
% 0.10/0.36 % Fri Sep 25 12:56:02 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.44
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44
% 0.10/0.44 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.10/0.44 % Length of proof is 12.
% 0.10/0.44 % Level of proof is 5.
% 0.10/0.44 % Maximum clause weight is 23.000.
% 0.10/0.44 % Given clauses 158.
% 0.10/0.44
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------