TSTP Solution File: SWV844-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV844-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 0.78s 0.97s
% Output : Refutation 0.78s
% 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(968,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(v,w,tc_Hoare__Mirabelle_Otriple(x)),x)
| c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(x),tc_bool)),tc_Hoare__Mirabelle_Otriple(x)),x) ),
file('SWV844-1.p',unknown),
[] ).
cnf(1038,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q_H,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('SWV844-1.p',unknown),
[] ).
cnf(1040,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('SWV844-1.p',unknown),
[] ).
cnf(1041,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P_H,u)),hAPP(v_c0,u)),hAPP(v_Q_H,u)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b)
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,u)),hAPP(v_c0,u)),hAPP(v_Q,u)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b) ),
file('SWV844-1.p',unknown),
[] ).
cnf(1258,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),u,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(res,[status(thm),theory(equality)],[968,1040]),
[iquote('0:Res:968.1,1040.0')] ).
cnf(1269,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_b),hAPP(v_P,v_x)),hAPP(v_c0,v_x)),hAPP(v_Q,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
inference(res,[status(thm),theory(equality)],[1038,1041]),
[iquote('0:Res:1038.0,1041.0')] ).
cnf(1274,plain,
$false,
inference(mrr,[status(thm)],[1269,1258]),
[iquote('0:MRR:1269.0,1258.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV844-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 09:52:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.78/0.97
% 0.78/0.97 SPASS V 3.9
% 0.78/0.97 SPASS beiseite: Proof found.
% 0.78/0.97 % SZS status Theorem
% 0.78/0.97 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.97 SPASS derived 174 clauses, backtracked 0 clauses, performed 0 splits and kept 931 clauses.
% 0.78/0.97 SPASS allocated 78537 KBytes.
% 0.78/0.97 SPASS spent 0:00:00.60 on the problem.
% 0.78/0.97 0:00:00.09 for the input.
% 0.78/0.97 0:00:00.00 for the FLOTTER CNF translation.
% 0.78/0.97 0:00:00.00 for inferences.
% 0.78/0.97 0:00:00.00 for the backtracking.
% 0.78/0.97 0:00:00.34 for the reduction.
% 0.78/0.97
% 0.78/0.97
% 0.78/0.97 Here is a proof with depth 1, length 7 :
% 0.78/0.97 % SZS output start Refutation
% See solution above
% 0.78/0.97 Formulae used in the proof : cls_derivs__insertD_0 cls_conjecture_2 cls_conjecture_4 cls_conjecture_5
% 0.78/0.97
%------------------------------------------------------------------------------