TSTP Solution File: SWV885-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 21:45:29 EDT 2022
% Result : Unsatisfiable 159.06s 159.25s
% Output : Refutation 159.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 17 unt; 4 nHn; 27 RR)
% Number of literals : 41 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 14 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(563,axiom,
( ~ class_Orderings_Olinorder(u)
| ~ c_HOL_Oord__class_Oless(v,w,u)
| ~ c_lessequals(w,v,u) ),
file('SWV885-1.p',unknown),
[] ).
cnf(630,axiom,
equal(c_HOL_Oplus__class_Oplus(c_Suc(u),v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),
file('SWV885-1.p',unknown),
[] ).
cnf(631,axiom,
equal(c_HOL_Oplus__class_Oplus(u,c_Suc(v),tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),
file('SWV885-1.p',unknown),
[] ).
cnf(695,axiom,
( equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v)
| c_HOL_Oord__class_Oless(v,u,tc_nat) ),
file('SWV885-1.p',unknown),
[] ).
cnf(853,axiom,
equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat),v),
file('SWV885-1.p',unknown),
[] ).
cnf(1014,axiom,
( ~ c_Finite__Set_Ofinite(u,v)
| ~ c_lessequals(w,c_Set_Oimage(x,u,v,y),tc_fun(y,tc_bool))
| c_Finite__Set_Ofinite(w,y) ),
file('SWV885-1.p',unknown),
[] ).
cnf(1022,axiom,
( ~ c_Finite__Set_Ofinite(u,v)
| equal(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),c_Suc(c_Finite__Set_Ocard(u,v)))
| c_in(w,u,v) ),
file('SWV885-1.p',unknown),
[] ).
cnf(1098,axiom,
class_Orderings_Olinorder(tc_nat),
file('SWV885-1.p',unknown),
[] ).
cnf(1115,axiom,
c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
file('SWV885-1.p',unknown),
[] ).
cnf(1116,axiom,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('SWV885-1.p',unknown),
[] ).
cnf(1117,axiom,
c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
file('SWV885-1.p',unknown),
[] ).
cnf(1118,axiom,
equal(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),c_Finite__Set_Ocard(v_G,t_a)),
file('SWV885-1.p',unknown),
[] ).
cnf(1120,axiom,
~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('SWV885-1.p',unknown),
[] ).
cnf(1121,axiom,
~ equal(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)),
file('SWV885-1.p',unknown),
[] ).
cnf(1364,plain,
( ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
| c_Finite__Set_Ofinite(v_G,t_a) ),
inference(res,[status(thm),theory(equality)],[1116,1014]),
[iquote('0:Res:1116.0,1014.0')] ).
cnf(1446,plain,
( ~ class_Orderings_Olinorder(tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) ),
inference(res,[status(thm),theory(equality)],[1117,563]),
[iquote('0:Res:1117.0,563.1')] ).
cnf(1627,plain,
c_Finite__Set_Ofinite(v_G,t_a),
inference(mrr,[status(thm)],[1364,1115]),
[iquote('0:MRR:1364.0,1115.0')] ).
cnf(1634,plain,
~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat),
inference(mrr,[status(thm)],[1446,1098]),
[iquote('0:MRR:1446.0,1098.0')] ).
cnf(3724,plain,
equal(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),u,tc_nat),c_Suc(v)),
inference(spr,[status(thm),theory(equality)],[631,853]),
[iquote('0:SpR:631.0,853.0')] ).
cnf(80124,plain,
( equal(c_HOL_Oplus__class_Oplus(c_Suc(v_na),c_Finite__Set_Ocard(v_G,t_a),tc_nat),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a))
| c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) ),
inference(spr,[status(thm),theory(equality)],[1118,695]),
[iquote('0:SpR:1118.0,695.0')] ).
cnf(80165,plain,
( equal(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(c_HOL_Oplus__class_Oplus(v_na,c_Finite__Set_Ocard(v_G,t_a),tc_nat)))
| c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) ),
inference(rew,[status(thm),theory(equality)],[630,80124]),
[iquote('0:Rew:630.0,80124.0')] ).
cnf(80166,plain,
equal(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(c_HOL_Oplus__class_Oplus(v_na,c_Finite__Set_Ocard(v_G,t_a),tc_nat))),
inference(mrr,[status(thm)],[80165,1634]),
[iquote('0:MRR:80165.1,1634.0')] ).
cnf(80202,plain,
~ equal(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(v_na,c_Finite__Set_Ocard(v_G,t_a),tc_nat)),v_na,tc_nat),c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a)),
inference(rew,[status(thm),theory(equality)],[80166,1121]),
[iquote('0:Rew:80166.0,1121.0')] ).
cnf(80306,plain,
~ equal(c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a),c_Suc(c_Finite__Set_Ocard(v_G,t_a))),
inference(rew,[status(thm),theory(equality)],[3724,80202]),
[iquote('0:Rew:3724.0,80202.0')] ).
cnf(137486,plain,
( ~ c_Finite__Set_Ofinite(v_G,t_a)
| ~ equal(c_Suc(c_Finite__Set_Ocard(v_G,t_a)),c_Suc(c_Finite__Set_Ocard(v_G,t_a)))
| c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(spl,[status(thm),theory(equality)],[1022,80306]),
[iquote('0:SpL:1022.1,80306.0')] ).
cnf(137487,plain,
( ~ c_Finite__Set_Ofinite(v_G,t_a)
| c_in(hAPP(v_mgt__call,v_pn),v_G,t_a) ),
inference(obv,[status(thm),theory(equality)],[137486]),
[iquote('0:Obv:137486.1')] ).
cnf(137488,plain,
$false,
inference(mrr,[status(thm)],[137487,1627,1120]),
[iquote('0:MRR:137487.0,137487.1,1627.0,1120.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV885-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.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 : Tue Jun 14 18:57:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 159.06/159.25
% 159.06/159.25 SPASS V 3.9
% 159.06/159.25 SPASS beiseite: Proof found.
% 159.06/159.25 % SZS status Theorem
% 159.06/159.25 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 159.06/159.25 SPASS derived 109664 clauses, backtracked 1543 clauses, performed 2 splits and kept 22974 clauses.
% 159.06/159.25 SPASS allocated 157008 KBytes.
% 159.06/159.25 SPASS spent 0:2:35.89 on the problem.
% 159.06/159.25 0:00:00.08 for the input.
% 159.06/159.25 0:00:00.00 for the FLOTTER CNF translation.
% 159.06/159.25 0:00:01.39 for inferences.
% 159.06/159.25 0:00:02.09 for the backtracking.
% 159.06/159.25 0:2:30.99 for the reduction.
% 159.06/159.25
% 159.06/159.25
% 159.06/159.25 Here is a proof with depth 1, length 27 :
% 159.06/159.25 % SZS output start Refutation
% See solution above
% 159.06/159.25 Formulae used in the proof : cls_linorder__not__le_1 cls_add__Suc_0 cls_add__Suc__right_0 cls_add__diff__inverse_0 cls_diff__add__inverse_0 cls_finite__surj_0 cls_card__insert__if_1 clsarity_nat__Orderings_Olinorder cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_5 cls_conjecture_6
% 159.06/159.25
%------------------------------------------------------------------------------