%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 13 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
connect(skc4,skc5,skc3),
file('GEO147+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ once(at_the_same_time(u,v))
| once(u) ),
file('GEO147+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ once(at_the_same_time(u,v))
| once(v) ),
file('GEO147+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ once(at(u,v))
| incident_o(v,trajectory_of(u)) ),
file('GEO147+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ incident_o(skc3,trajectory_of(skc5))
| ~ incident_o(skc3,trajectory_of(skc4)) ),
file('GEO147+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ connect(u,v,w)
| once(at_the_same_time(at(u,w),at(v,w))) ),
file('GEO147+1.p',unknown),
[] ).
cnf(101,plain,
once(at_the_same_time(at(skc4,skc3),at(skc5,skc3))),
inference(res,[status(thm),theory(equality)],[2,58]),
[iquote('0:Res:2.0,58.0')] ).
cnf(112,plain,
once(at(skc4,skc3)),
inference(res,[status(thm),theory(equality)],[101,21]),
[iquote('0:Res:101.0,21.0')] ).
cnf(113,plain,
once(at(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[101,22]),
[iquote('0:Res:101.0,22.0')] ).
cnf(122,plain,
incident_o(skc3,trajectory_of(skc4)),
inference(res,[status(thm),theory(equality)],[112,35]),
[iquote('0:Res:112.0,35.0')] ).
cnf(123,plain,
incident_o(skc3,trajectory_of(skc5)),
inference(res,[status(thm),theory(equality)],[113,35]),
[iquote('0:Res:113.0,35.0')] ).
cnf(124,plain,
~ incident_o(skc3,trajectory_of(skc5)),
inference(mrr,[status(thm)],[37,122]),
[iquote('0:MRR:37.1,122.0')] ).
cnf(125,plain,
$false,
inference(mrr,[status(thm)],[124,123]),
[iquote('0:MRR:124.0,123.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:15:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 116 clauses.
% 0.19/0.49 SPASS allocated 98503 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.01 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 3, length 13 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : t13 conjunction_at_the_same_time at_on_trajectory connect_defn
% 0.19/0.49
%------------------------------------------------------------------------------