TSTP Solution File: SWV689-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV689-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : Wed Jul 20 21:44:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% 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 : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(750,axiom,
( ~ c_HOL_Oord__class_Oless(u,v,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat) ),
file('SWV689-1.p',unknown),
[] ).
cnf(767,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
file('SWV689-1.p',unknown),
[] ).
cnf(798,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
file('SWV689-1.p',unknown),
[] ).
cnf(849,plain,
~ c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
inference(res,[status(thm),theory(equality)],[750,798]),
[iquote('0:Res:750.1,798.0')] ).
cnf(891,plain,
$false,
inference(mrr,[status(thm)],[849,767]),
[iquote('0:MRR:849.0,767.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV689-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 : Thu Jun 16 01:51:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.58
% 0.19/0.58 SPASS V 3.9
% 0.19/0.58 SPASS beiseite: Proof found.
% 0.19/0.58 % SZS status Theorem
% 0.19/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 629 clauses.
% 0.19/0.58 SPASS allocated 76912 KBytes.
% 0.19/0.58 SPASS spent 0:00:00.22 on the problem.
% 0.19/0.58 0:00:00.06 for the input.
% 0.19/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.58 0:00:00.00 for inferences.
% 0.19/0.58 0:00:00.00 for the backtracking.
% 0.19/0.58 0:00:00.09 for the reduction.
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 Here is a proof with depth 1, length 5 :
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 Formulae used in the proof : cls_less__imp__diff__less_0 cls_CHAINED_0 cls_conjecture_0
% 0.19/0.58
%------------------------------------------------------------------------------