TSTP Solution File: GEO148-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO148-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:22:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
connect(sk28,sk29,sk27),
file('GEO148-1.p',unknown),
[] ).
cnf(2,axiom,
ordered_by(trajectory_of(sk29),sk31,sk27),
file('GEO148-1.p',unknown),
[] ).
cnf(3,axiom,
ordered_by(trajectory_of(sk28),sk27,sk30),
file('GEO148-1.p',unknown),
[] ).
cnf(4,axiom,
once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))),
file('GEO148-1.p',unknown),
[] ).
cnf(101,axiom,
( ~ connect(u,v,w)
| once(at_the_same_time(at(u,w),at(v,w))) ),
file('GEO148-1.p',unknown),
[] ).
cnf(113,axiom,
( ~ once(at_the_same_time(at(u,v),at(w,x)))
| ~ once(at_the_same_time(at(u,y),at(w,z)))
| ~ ordered_by(trajectory_of(w),x,z)
| ~ ordered_by(trajectory_of(u),y,v) ),
file('GEO148-1.p',unknown),
[] ).
cnf(117,plain,
once(at_the_same_time(at(sk28,sk27),at(sk29,sk27))),
inference(res,[status(thm),theory(equality)],[1,101]),
[iquote('0:Res:1.0,101.0')] ).
cnf(118,plain,
( ~ once(at_the_same_time(at(sk28,sk30),at(u,v)))
| ~ once(at_the_same_time(at(sk28,sk27),at(u,w)))
| ~ ordered_by(trajectory_of(u),v,w) ),
inference(res,[status(thm),theory(equality)],[3,113]),
[iquote('0:Res:3.0,113.2')] ).
cnf(144,plain,
( ~ once(at_the_same_time(at(sk28,sk27),at(sk29,sk27)))
| ~ once(at_the_same_time(at(sk28,sk30),at(sk29,sk31))) ),
inference(res,[status(thm),theory(equality)],[2,118]),
[iquote('0:Res:2.0,118.2')] ).
cnf(157,plain,
$false,
inference(mrr,[status(thm)],[144,117,4]),
[iquote('0:MRR:144.0,144.1,117.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO148-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 16:55:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 36 clauses, backtracked 0 clauses, performed 0 splits and kept 130 clauses.
% 0.19/0.43 SPASS allocated 75790 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.01 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 10 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : t14_156 t14_157 t14_158 t14_159 connect_defn_1 homogeneous_behaviour_13
% 0.19/0.43
%------------------------------------------------------------------------------