%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM296+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 : Mon Jul 18 14:25:13 EDT 2022
% Result : Theorem 0.53s 0.77s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
~ less(nn2,n2),
file('NUM296+1.p',unknown),
[] ).
cnf(13,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('NUM296+1.p',unknown),
[] ).
cnf(22,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('NUM296+1.p',unknown),
[] ).
cnf(389,axiom,
( ~ rdn_translate(u,rdn_neg(v))
| ~ rdn_translate(w,rdn_pos(x))
| less(u,w) ),
file('NUM296+1.p',unknown),
[] ).
cnf(411,plain,
( ~ rdn_translate(nn2,rdn_neg(u))
| ~ rdn_translate(n2,rdn_pos(v)) ),
inference(res,[status(thm),theory(equality)],[389,10]),
[iquote('0:Res:389.2,10.0')] ).
cnf(526,plain,
~ rdn_translate(n2,rdn_pos(u)),
inference(res,[status(thm),theory(equality)],[22,411]),
[iquote('0:Res:22.0,411.0')] ).
cnf(527,plain,
$false,
inference(unc,[status(thm)],[526,13]),
[iquote('0:UnC:526.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM296+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 : Tue Jul 5 09:33:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.53/0.77
% 0.53/0.77 SPASS V 3.9
% 0.53/0.77 SPASS beiseite: Proof found.
% 0.53/0.77 % SZS status Theorem
% 0.53/0.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.77 SPASS derived 114 clauses, backtracked 96 clauses, performed 1 splits and kept 605 clauses.
% 0.53/0.77 SPASS allocated 98720 KBytes.
% 0.53/0.77 SPASS spent 0:00:00.41 on the problem.
% 0.53/0.77 0:00:00.04 for the input.
% 0.53/0.77 0:00:00.11 for the FLOTTER CNF translation.
% 0.53/0.77 0:00:00.04 for inferences.
% 0.53/0.77 0:00:00.00 for the backtracking.
% 0.53/0.77 0:00:00.11 for the reduction.
% 0.53/0.77
% 0.53/0.77
% 0.53/0.77 Here is a proof with depth 2, length 7 :
% 0.53/0.77 % SZS output start Refutation
% See solution above
% 0.53/0.77 Formulae used in the proof : nn2_less_n2 rdn2 rdnn2 less_entry_point_neg_pos
% 0.61/0.77
%------------------------------------------------------------------------------