%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : Thu Jul 21 19:55:04 EDT 2022
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
le(u,u),
file('SYO611-1.p',unknown),
[] ).
cnf(4,axiom,
eq(f(u),a0),
file('SYO611-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ eq(f(u),a0)
| ~ eq(f(v),a0)
| ~ le(s(u),v) ),
file('SYO611-1.p',unknown),
[] ).
cnf(6,plain,
~ le(s(u),v),
inference(mrr,[status(thm)],[5,4]),
[iquote('0:MRR:5.0,5.1,4.0,4.0')] ).
cnf(7,plain,
$false,
inference(unc,[status(thm)],[6,1]),
[iquote('0:UnC:6.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO611-1 : TPTP v8.1.0. Released v7.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 06:34:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.40
% 0.13/0.40 SPASS V 3.9
% 0.13/0.40 SPASS beiseite: Proof found.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.13/0.40 SPASS allocated 63078 KBytes.
% 0.13/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.13/0.40 0:00:00.03 for the input.
% 0.13/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.40 0:00:00.00 for inferences.
% 0.13/0.40 0:00:00.00 for the backtracking.
% 0.13/0.40 0:00:00.00 for the reduction.
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 Here is a proof with depth 0, length 5 :
% 0.13/0.40 % SZS output start Refutation
% See solution above
% 0.13/0.40 Formulae used in the proof : sos_01 sos_04 sos_05
% 0.13/0.40
%------------------------------------------------------------------------------