TSTP Solution File: ARI616_1 by SPASS+T---2.2.22
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%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : ARI616_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n006.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 : Thu Jul 14 22:18:20 EDT 2022
% Result : Theorem 0.45s 1.06s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p(skc9,skc5,skc6),
file('ARI616=1.p',unknown),
[] ).
cnf(2,axiom,
p(skc9,skc7,skc8),
file('ARI616=1.p',unknown),
[] ).
cnf(3,axiom,
~ lesseq(plus(skc5,uminus(skc7)),plus(skc6,skc8)),
file('ARI616=1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p(U,V,W)
| lesseq(U,plus(V,W)) ),
file('ARI616=1.p',unknown),
[] ).
cnf(5,axiom,
( ~ p(U,V,W)
| lesseq(plus(V,uminus(W)),U) ),
file('ARI616=1.p',unknown),
[] ).
cnf(246,plain,
$false,
inference(thr,[status(thm)],[5,4,3,2,1]),
[iquote('0:ThR:5,4,3,2,1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI616_1 : TPTP v8.1.0. Released v5.1.0.
% 0.12/0.13 % Command : spasst-tptp-script %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 13:08:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % Using integer theory
% 0.45/1.06
% 0.45/1.06
% 0.45/1.06 % SZS status Theorem for /tmp/SPASST_17156_n006.cluster.edu
% 0.45/1.06
% 0.45/1.06 SPASS V 2.2.22 in combination with yices.
% 0.45/1.06 SPASS beiseite: Proof found by SMT.
% 0.45/1.06 Problem: /tmp/SPASST_17156_n006.cluster.edu
% 0.45/1.06 SPASS derived 190 clauses, backtracked 0 clauses and kept 166 clauses.
% 0.45/1.06 SPASS backtracked 1 times (1 times due to theory inconsistency).
% 0.45/1.06 SPASS allocated 6395 KBytes.
% 0.45/1.06 SPASS spent 0:00:00.03 on the problem.
% 0.45/1.06 0:00:00.00 for the input.
% 0.45/1.06 0:00:00.00 for the FLOTTER CNF translation.
% 0.45/1.06 0:00:00.00 for inferences.
% 0.45/1.06 0:00:00.00 for the backtracking.
% 0.45/1.06 0:00:00.01 for the reduction.
% 0.45/1.06 0:00:00.00 for interacting with the SMT procedure.
% 0.45/1.06
% 0.45/1.06
% 0.45/1.06 % SZS output start CNFRefutation for /tmp/SPASST_17156_n006.cluster.edu
% See solution above
% 0.45/1.06
% 0.45/1.06 Formulae used in the proof : fof_sum_of_radii_gt_distance_of_centers
% 0.45/1.06
% 0.45/1.06 SPASS+T ended
%------------------------------------------------------------------------------