%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 21:45:21 EDT 2022
% Result : Unsatisfiable 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(561,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool)),v),
file('SWV842-1.p',unknown),
[] ).
cnf(574,axiom,
equal(c_Set_Oimage(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v,w),c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool))),
file('SWV842-1.p',unknown),
[] ).
cnf(618,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('SWV842-1.p',unknown),
[] ).
cnf(711,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),t_b),
inference(rew,[status(thm),theory(equality)],[574,618]),
[iquote('0:Rew:574.0,618.0')] ).
cnf(712,plain,
$false,
inference(mrr,[status(thm)],[711,561]),
[iquote('0:MRR:711.0,561.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n023.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 : Wed Jun 15 12:17:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.76
% 0.59/0.76 SPASS V 3.9
% 0.59/0.76 SPASS beiseite: Proof found.
% 0.59/0.76 % SZS status Theorem
% 0.59/0.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.76 SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 497 clauses.
% 0.59/0.76 SPASS allocated 77205 KBytes.
% 0.59/0.76 SPASS spent 0:00:00.38 on the problem.
% 0.59/0.76 0:00:00.06 for the input.
% 0.59/0.76 0:00:00.00 for the FLOTTER CNF translation.
% 0.59/0.76 0:00:00.00 for inferences.
% 0.59/0.76 0:00:00.00 for the backtracking.
% 0.59/0.76 0:00:00.23 for the reduction.
% 0.59/0.76
% 0.59/0.76
% 0.59/0.76 Here is a proof with depth 0, length 5 :
% 0.59/0.76 % SZS output start Refutation
% See solution above
% 0.59/0.76 Formulae used in the proof : cls_empty_0 cls_empty__is__image_1 cls_conjecture_1
% 0.59/0.76
%------------------------------------------------------------------------------