TSTP Solution File: SWV884-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV884-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(986,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(x,v,tc_fun(w,tc_bool))
| c_lessequals(c_Set_Oinsert(u,x,w),v,tc_fun(w,tc_bool)) ),
file('SWV884-1.p',unknown),
[] ).
cnf(1054,axiom,
( ~ c_in(u,v,w)
| c_in(hAPP(x,u),c_Set_Oimage(x,v,w,y),y) ),
file('SWV884-1.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('SWV884-1.p',unknown),
[] ).
cnf(1119,axiom,
c_in(v_pn,v_U,tc_Com_Opname),
file('SWV884-1.p',unknown),
[] ).
cnf(1121,axiom,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('SWV884-1.p',unknown),
[] ).
cnf(1261,plain,
c_in(hAPP(u,v_pn),c_Set_Oimage(u,v_U,tc_Com_Opname,v),v),
inference(res,[status(thm),theory(equality)],[1119,1054]),
[iquote('0:Res:1119.0,1054.0')] ).
cnf(1546,plain,
( ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
inference(res,[status(thm),theory(equality)],[986,1121]),
[iquote('0:Res:986.2,1121.0')] ).
cnf(1568,plain,
$false,
inference(mrr,[status(thm)],[1546,1116,1261]),
[iquote('0:MRR:1546.0,1546.1,1116.0,1261.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV884-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 18:18:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/0.79
% 0.62/0.79 SPASS V 3.9
% 0.62/0.79 SPASS beiseite: Proof found.
% 0.62/0.79 % SZS status Theorem
% 0.62/0.79 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.79 SPASS derived 199 clauses, backtracked 0 clauses, performed 0 splits and kept 987 clauses.
% 0.62/0.79 SPASS allocated 77737 KBytes.
% 0.62/0.79 SPASS spent 0:00:00.42 on the problem.
% 0.62/0.79 0:00:00.09 for the input.
% 0.62/0.79 0:00:00.00 for the FLOTTER CNF translation.
% 0.62/0.79 0:00:00.00 for inferences.
% 0.62/0.79 0:00:00.00 for the backtracking.
% 0.62/0.79 0:00:00.18 for the reduction.
% 0.62/0.79
% 0.62/0.79
% 0.62/0.79 Here is a proof with depth 1, length 8 :
% 0.62/0.79 % SZS output start Refutation
% See solution above
% 0.62/0.79 Formulae used in the proof : cls_insert__subset_2 cls_imageI_0 cls_conjecture_1 cls_conjecture_4 cls_conjecture_6
% 0.62/0.79
%------------------------------------------------------------------------------