TSTP Solution File: GEO064-3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:22:01 EDT 2022
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( ~ between(u,v,w)
| between(w,v,u) ),
file('GEO064-3.p',unknown),
[] ).
cnf(64,axiom,
between(w__dfg,v__dfg,u__dfg),
file('GEO064-3.p',unknown),
[] ).
cnf(65,axiom,
~ colinear(u__dfg,v__dfg,w__dfg),
file('GEO064-3.p',unknown),
[] ).
cnf(84,axiom,
( ~ between(u,v,w)
| colinear(u,v,w) ),
file('GEO064-3.p',unknown),
[] ).
cnf(94,plain,
~ between(u__dfg,v__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[84,65]),
[iquote('0:Res:84.1,65.0')] ).
cnf(133,plain,
between(u__dfg,v__dfg,w__dfg),
inference(res,[status(thm),theory(equality)],[64,27]),
[iquote('0:Res:64.0,27.0')] ).
cnf(139,plain,
$false,
inference(mrr,[status(thm)],[133,94]),
[iquote('0:MRR:133.0,94.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 18 03:00:46 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.37
% 0.15/0.37 SPASS V 3.9
% 0.15/0.37 SPASS beiseite: Proof found.
% 0.15/0.37 % SZS status Theorem
% 0.15/0.37 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 SPASS derived 45 clauses, backtracked 0 clauses, performed 0 splits and kept 95 clauses.
% 0.15/0.37 SPASS allocated 63229 KBytes.
% 0.15/0.37 SPASS spent 0:00:00.06 on the problem.
% 0.15/0.37 0:00:00.03 for the input.
% 0.15/0.37 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.37 0:00:00.00 for inferences.
% 0.15/0.37 0:00:00.00 for the backtracking.
% 0.15/0.37 0:00:00.01 for the reduction.
% 0.15/0.37
% 0.15/0.37
% 0.15/0.37 Here is a proof with depth 1, length 7 :
% 0.15/0.37 % SZS output start Refutation
% See solution above
% 0.15/0.37 Formulae used in the proof : t1 v_between_w_and_u prove_uvw_colinear colinearity1
% 0.15/0.37
%------------------------------------------------------------------------------