TSTP Solution File: SWV925-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 21:45:38 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 7 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(243,axiom,
~ equal(c_Suc(u),c_HOL_Ozero__class_Ozero(tc_nat)),
file('SWV925-1.p',unknown),
[] ).
cnf(570,axiom,
equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(u,v,w),tc_List_Olist(w)),c_Suc(c_Nat_Osize__class_Osize(v,tc_List_Olist(w)))),
file('SWV925-1.p',unknown),
[] ).
cnf(575,axiom,
equal(c_Nat_Osize__class_Osize(c_List_Olist_ONil(u),tc_List_Olist(u)),c_HOL_Ozero__class_Ozero(tc_nat)),
file('SWV925-1.p',unknown),
[] ).
cnf(612,axiom,
equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),c_Nat_Osize__class_Osize(c_List_Olist_ONil(tc_Type_Oty),tc_List_Olist(tc_Type_Oty))),
file('SWV925-1.p',unknown),
[] ).
cnf(617,plain,
equal(c_Nat_Osize__class_Osize(c_List_Olist_OCons(v_aj,v_ak,tc_Value_Oval),tc_List_Olist(tc_Value_Oval)),c_HOL_Ozero__class_Ozero(tc_nat)),
inference(rew,[status(thm),theory(equality)],[575,612]),
[iquote('0:Rew:575.0,612.0')] ).
cnf(619,plain,
equal(c_Suc(c_Nat_Osize__class_Osize(v_ak,tc_List_Olist(tc_Value_Oval))),c_HOL_Ozero__class_Ozero(tc_nat)),
inference(rew,[status(thm),theory(equality)],[570,617]),
[iquote('0:Rew:570.0,617.0')] ).
cnf(620,plain,
$false,
inference(mrr,[status(thm)],[619,243]),
[iquote('0:MRR:619.0,243.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV925-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 20:47:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 205 clauses.
% 0.21/0.51 SPASS allocated 76828 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.51 0:00:00.06 for the input.
% 0.21/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.00 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.03 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 0, length 7 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : cls_Suc__neq__Zero_0 cls_length__Suc__conv_2 cls_length__0__conv_1 cls_conjecture_1
% 0.21/0.51
%------------------------------------------------------------------------------