TSTP Solution File: SET859-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET859-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Tue Jul 19 05:29:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% 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; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| ~ c_lessequals(v,x,tc_set(w))
| c_lessequals(u,x,tc_set(w)) ),
file('SET859-2.p',unknown),
[] ).
cnf(2,axiom,
c_lessequals(u,c_Zorn_Osucc(v,u,w),tc_set(tc_set(w))),
file('SET859-2.p',unknown),
[] ).
cnf(3,axiom,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
file('SET859-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('SET859-2.p',unknown),
[] ).
cnf(6,plain,
( ~ c_lessequals(u,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a)))
| c_lessequals(u,v_m,tc_set(tc_set(t_a))) ),
inference(res,[status(thm),theory(equality)],[3,1]),
[iquote('0:Res:3.0,1.0')] ).
cnf(8,plain,
~ c_lessequals(v_n,c_Zorn_Osucc(v_S,v_n,t_a),tc_set(tc_set(t_a))),
inference(res,[status(thm),theory(equality)],[6,4]),
[iquote('0:Res:6.1,4.0')] ).
cnf(9,plain,
$false,
inference(mrr,[status(thm)],[8,2]),
[iquote('0:MRR:8.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET859-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 : Mon Jul 11 10:54:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 8 clauses.
% 0.19/0.41 SPASS allocated 63084 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.05 on the problem.
% 0.19/0.41 0:00:00.03 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 2, length 7 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_Set_Osubset__trans_0 cls_Zorn_OAbrial__axiom1_0 cls_conjecture_2 cls_conjecture_3
% 0.19/0.41
%------------------------------------------------------------------------------