TSTP Solution File: SWV839-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 21:45:20 EDT 2022
% Result : Unsatisfiable 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(287,axiom,
equal(c_Collect(u,v),u),
file('SWV839-1.p',unknown),
[] ).
cnf(322,axiom,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Collect(hAPP(c_fequal(v),u),v)),
file('SWV839-1.p',unknown),
[] ).
cnf(386,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OSKIP,v,w),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_Hoare__Mirabelle_Otriple(w)),w),
file('SWV839-1.p',unknown),
[] ).
cnf(454,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('SWV839-1.p',unknown),
[] ).
cnf(457,plain,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),hAPP(c_fequal(v),u)),
inference(rew,[status(thm),theory(equality)],[287,322]),
[iquote('0:Rew:287.0,322.0')] ).
cnf(470,plain,
c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(w,c_Com_Ocom_OSKIP,w,v)),v),
inference(rew,[status(thm),theory(equality)],[457,386]),
[iquote('0:Rew:457.0,386.0')] ).
cnf(471,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),t_a),
inference(rew,[status(thm),theory(equality)],[457,454]),
[iquote('0:Rew:457.0,454.0')] ).
cnf(472,plain,
$false,
inference(mrr,[status(thm)],[471,470]),
[iquote('0:MRR:471.0,470.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Tue Jun 14 21:42:40 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.22/0.52
% 0.22/0.52 SPASS V 3.9
% 0.22/0.52 SPASS beiseite: Proof found.
% 0.22/0.52 % SZS status Theorem
% 0.22/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 170 clauses.
% 0.22/0.52 SPASS allocated 76513 KBytes.
% 0.22/0.52 SPASS spent 0:00:00.14 on the problem.
% 0.22/0.52 0:00:00.05 for the input.
% 0.22/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.52 0:00:00.00 for inferences.
% 0.22/0.52 0:00:00.00 for the backtracking.
% 0.22/0.52 0:00:00.03 for the reduction.
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 Here is a proof with depth 0, length 8 :
% 0.22/0.52 % SZS output start Refutation
% See solution above
% 0.22/0.52 Formulae used in the proof : cls_Collect__def_0 cls_singleton__conv2_0 cls_hoare__derivs_OSkip_0 cls_conjecture_1
% 0.22/0.52
%------------------------------------------------------------------------------