%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 21:45:34 EDT 2022
% Result : Unsatisfiable 0.36s 0.55s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 10 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(100,axiom,
equal(c_Collect(u,v),u),
file('SWV910-1.p',unknown),
[] ).
cnf(274,axiom,
equal(c_Collect(c_COMBK(c_False,tc_bool,u),u),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),
file('SWV910-1.p',unknown),
[] ).
cnf(399,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),v),w,x,v)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(v),tc_bool))),v),
file('SWV910-1.p',unknown),
[] ).
cnf(404,axiom,
equal(hAPP(hAPP(c_Set_Oinsert(u),v),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),c_Collect(hAPP(c_fequal(u),v),u)),
file('SWV910-1.p',unknown),
[] ).
cnf(498,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,v_c,v,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('SWV910-1.p',unknown),
[] ).
cnf(499,plain,
equal(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),c_COMBK(c_False,tc_bool,u)),
inference(rew,[status(thm),theory(equality)],[100,274]),
[iquote('0:Rew:100.0,274.0')] ).
cnf(533,plain,
equal(hAPP(hAPP(c_Set_Oinsert(u),v),c_COMBK(c_False,tc_bool,u)),hAPP(c_fequal(u),v)),
inference(rew,[status(thm),theory(equality)],[499,404,100]),
[iquote('0:Rew:499.0,404.0,100.0,404.0')] ).
cnf(555,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(u,v_c,v,t_a)),t_a),
inference(rew,[status(thm),theory(equality)],[533,498,499]),
[iquote('0:Rew:533.0,498.0,499.0,498.0')] ).
cnf(593,plain,
c_Hoare__Mirabelle_Ohoare__derivs(u,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(v)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),v),w,x,v)),v),
inference(rew,[status(thm),theory(equality)],[533,399,499]),
[iquote('0:Rew:533.0,399.0,499.0,399.0')] ).
cnf(594,plain,
$false,
inference(unc,[status(thm)],[593,555]),
[iquote('0:UnC:593.0,555.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n008.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 : Thu Jun 16 04:06:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.55
% 0.36/0.55 SPASS V 3.9
% 0.36/0.55 SPASS beiseite: Proof found.
% 0.36/0.55 % SZS status Theorem
% 0.36/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.55 SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 344 clauses.
% 0.36/0.55 SPASS allocated 76784 KBytes.
% 0.36/0.55 SPASS spent 0:00:00.18 on the problem.
% 0.36/0.55 0:00:00.06 for the input.
% 0.36/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.36/0.55 0:00:00.00 for inferences.
% 0.36/0.55 0:00:00.00 for the backtracking.
% 0.36/0.55 0:00:00.07 for the reduction.
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 Here is a proof with depth 0, length 10 :
% 0.36/0.55 % SZS output start Refutation
% See solution above
% 0.36/0.55 Formulae used in the proof : cls_Collect__def_0 cls_empty__def_0 cls_falseE_0 cls_singleton__conv2_0 cls_conjecture_1
% 0.36/0.55
%------------------------------------------------------------------------------