%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV836-1 : 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 21:45:19 EDT 2022
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(409,axiom,
equal(c_Collect(u,v),u),
file('SWV836-1.p',unknown),
[] ).
cnf(475,axiom,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Collect(c_fequal(u,v),v)),
file('SWV836-1.p',unknown),
[] ).
cnf(511,axiom,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool)),tc_Hoare__Mirabelle_Otriple(w)),w)
| c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(x,v,tc_Hoare__Mirabelle_Otriple(w)),w) ),
file('SWV836-1.p',unknown),
[] ).
cnf(596,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('SWV836-1.p',unknown),
[] ).
cnf(597,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('SWV836-1.p',unknown),
[] ).
cnf(598,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(v_t,v_tsa,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('SWV836-1.p',unknown),
[] ).
cnf(601,plain,
equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_fequal(u,v)),
inference(rew,[status(thm),theory(equality)],[409,475]),
[iquote('0:Rew:409.0,475.0')] ).
cnf(604,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(rew,[status(thm),theory(equality)],[601,596]),
[iquote('0:Rew:601.0,596.0')] ).
cnf(655,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(u,v,w)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(u,c_fequal(x,tc_Hoare__Mirabelle_Otriple(w)),w)
| c_Hoare__Mirabelle_Ohoare__derivs(u,c_Set_Oinsert(x,v,tc_Hoare__Mirabelle_Otriple(w)),w) ),
inference(rew,[status(thm),theory(equality)],[601,511]),
[iquote('0:Rew:601.0,511.1')] ).
cnf(830,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(res,[status(thm),theory(equality)],[655,598]),
[iquote('0:Res:655.2,598.0')] ).
cnf(834,plain,
$false,
inference(mrr,[status(thm)],[830,597,604]),
[iquote('0:MRR:830.0,830.1,597.0,604.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV836-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 600
% 0.21/0.36 % DateTime : Wed Jun 15 21:33:41 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.38/0.61
% 0.38/0.61 SPASS V 3.9
% 0.38/0.61 SPASS beiseite: Proof found.
% 0.38/0.61 % SZS status Theorem
% 0.38/0.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.61 SPASS derived 66 clauses, backtracked 0 clauses, performed 0 splits and kept 537 clauses.
% 0.38/0.61 SPASS allocated 76823 KBytes.
% 0.38/0.61 SPASS spent 0:00:00.23 on the problem.
% 0.38/0.61 0:00:00.05 for the input.
% 0.38/0.61 0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.61 0:00:00.00 for inferences.
% 0.38/0.61 0:00:00.00 for the backtracking.
% 0.38/0.61 0:00:00.12 for the reduction.
% 0.38/0.61
% 0.38/0.61
% 0.38/0.61 Here is a proof with depth 1, length 11 :
% 0.38/0.61 % SZS output start Refutation
% See solution above
% 0.38/0.61 Formulae used in the proof : cls_Collect__def_0 cls_singleton__conv2_0 cls_hoare__derivs_Oinsert_0 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.38/0.61
%------------------------------------------------------------------------------