%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GEO148-1 : 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 : n002.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 0.17s 5.92s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 11 !; 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(t14_156,axiom,
connect(sk28,sk29,sk27),
file('theBenchmark.p',t14_156) ).
cnf(c_45,plain,
connect(sk28,sk29,sk27),
inference(clausify,[status(thm)],[t14_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(t14_159,axiom,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('theBenchmark.p',t14_159) ).
cnf(c_81,plain,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
inference(clausify,[status(thm)],[t14_159]) ).
fof(t14_158,axiom,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('theBenchmark.p',t14_158) ).
cnf(c_82,plain,
ordered_by(trajectory_of(sk28),sk27,sk30),
inference(clausify,[status(thm)],[t14_158]) ).
fof(t14_157,axiom,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('theBenchmark.p',t14_157) ).
cnf(c_83,plain,
ordered_by(trajectory_of(sk29),sk31,sk27),
inference(clausify,[status(thm)],[t14_157]) ).
fof(homogeneous_behaviour_13,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ ordered_by(trajectory_of(VAR_2),VAR_5,VAR_3)
| ~ ordered_by(trajectory_of(VAR_0),VAR_1,VAR_4)
| ~ once(at_the_same_time(at(VAR_0,VAR_4),at(VAR_2,VAR_5)))
| ~ once(at_the_same_time(at(VAR_0,VAR_1),at(VAR_2,VAR_3))) ),
file('theBenchmark.p',homogeneous_behaviour_13) ).
cnf(c_85,plain,
( ~ 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))) ),
inference(clausify,[status(thm)],[homogeneous_behaviour_13]) ).
fof(symmetry_of_at_the_same_time_4,axiom,
! [VAR_0,VAR_1] :
( once(at_the_same_time(VAR_1,VAR_0))
| ~ once(at_the_same_time(VAR_0,VAR_1)) ),
file('theBenchmark.p',symmetry_of_at_the_same_time_4) ).
cnf(c_94,plain,
( once(at_the_same_time(B,A))
| ~ once(at_the_same_time(A,B)) ),
inference(clausify,[status(thm)],[symmetry_of_at_the_same_time_4]) ).
cnf(c_235,plain,
( ~ ordered_by(trajectory_of(A),C,B)
| ~ once(at_the_same_time(at(sk29,sk27),at(A,C)))
| ~ once(at_the_same_time(at(sk29,sk31),at(A,B))) ),
inference(resolve,[status(thm)],[c_85,c_83]) ).
cnf(c_248,plain,
once(at_the_same_time(at(sk29,sk31),at(sk28,sk30))),
inference(resolve,[status(thm)],[c_94,c_81]) ).
cnf(c_249,plain,
once(at_the_same_time(at(sk29,sk27),at(sk28,sk27))),
inference(resolve,[status(thm)],[c_94,c_46]) ).
cnf(c_779,plain,
( ~ once(at_the_same_time(at(sk29,sk27),at(sk28,sk27)))
| ~ once(at_the_same_time(at(sk29,sk31),at(sk28,sk30))) ),
inference(resolve,[status(thm)],[c_235,c_82]) ).
cnf(c_780,plain,
~ once(at_the_same_time(at(sk29,sk27),at(sk28,sk27))),
inference(resolve,[status(thm)],[c_248,c_779]) ).
cnf(c_778,plain,
$false,
inference(resolve,[status(thm)],[c_249,c_780]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO148-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.74 % Computer : n002.cluster.edu
% 0.11/5.74 % Model : x86_64 x86_64
% 0.11/5.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.74 % Memory : 8046.5625MB
% 0.11/5.74 % OS : Linux 6.8.0-71-generic
% 0.11/5.74 % CPULimit : 300
% 0.11/5.74 % WCLimit : 300
% 0.11/5.74 % DateTime : Fri Sep 25 12:59:11 UTC 2026
% 0.11/5.74 % CPUTime :
% 0.11/5.74 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.74 % Process 3310282 was started by sandbox on n002,
% 0.11/5.74 % Fri Sep 25 12:59:11 2026
% 0.11/5.74 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/5.76
% 0.11/5.76 % From the command line: assign(max_seconds, 300).
% 0.17/5.92
% 0.17/5.92 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.92
% 0.17/5.92 % Proof 1 at 0.11 (+ 0.03) seconds.
% 0.17/5.92 % Length of proof is 12.
% 0.17/5.92 % Level of proof is 3.
% 0.17/5.92 % Maximum clause weight is 41.000.
% 0.17/5.92 % Given clauses 158.
% 0.17/5.92
% 0.17/5.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------