TSTP Solution File: SWV854-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 21:45:24 EDT 2022
% Result : Unsatisfiable 0.38s 0.60s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(731,axiom,
( ~ c_Hoare__Mirabelle_Otriple__valid(u,c_Hoare__Mirabelle_Otriple_Otriple(v,c_Option_Othe(c_Com_Obody(w),tc_Com_Ocom),x,y),y)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,u),c_Hoare__Mirabelle_Otriple_Otriple(v,c_Com_Ocom_OBODY(w),x,y),y) ),
file('SWV854-1.p',unknown),
[] ).
cnf(759,axiom,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('SWV854-1.p',unknown),
[] ).
cnf(760,axiom,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('SWV854-1.p',unknown),
[] ).
cnf(763,axiom,
( ~ hBOOL(c_in(u,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,u),c_Option_Othe(c_Com_Obody(u),tc_Com_Ocom),hAPP(v_Q,u),t_a),t_a) ),
file('SWV854-1.p',unknown),
[] ).
cnf(806,plain,
c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(res,[status(thm),theory(equality)],[759,763]),
[iquote('0:Res:759.0,763.0')] ).
cnf(810,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(res,[status(thm),theory(equality)],[731,760]),
[iquote('0:Res:731.1,760.0')] ).
cnf(821,plain,
$false,
inference(mrr,[status(thm)],[810,806]),
[iquote('0:MRR:810.0,806.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 05:02:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/0.60
% 0.38/0.60 SPASS V 3.9
% 0.38/0.60 SPASS beiseite: Proof found.
% 0.38/0.60 % SZS status Theorem
% 0.38/0.60 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.60 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 590 clauses.
% 0.38/0.60 SPASS allocated 76951 KBytes.
% 0.38/0.60 SPASS spent 0:00:00.24 on the problem.
% 0.38/0.60 0:00:00.06 for the input.
% 0.38/0.60 0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.60 0:00:00.00 for inferences.
% 0.38/0.60 0:00:00.00 for the backtracking.
% 0.38/0.60 0:00:00.12 for the reduction.
% 0.38/0.60
% 0.38/0.60
% 0.38/0.60 Here is a proof with depth 1, length 7 :
% 0.38/0.60 % SZS output start Refutation
% See solution above
% 0.38/0.60 Formulae used in the proof : cls_Body__triple__valid__Suc_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_4
% 0.38/0.60
%------------------------------------------------------------------------------