%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV240-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 21:41:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 5 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV240-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_lessequals(c_Message_Oanalz(u),c_Message_Oanalz(v),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(w),c_Message_Oanalz(x),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(u,w,tc_Message_Omsg)),c_Message_Oanalz(c_union(v,x,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('SWV240-2.p',unknown),
[] ).
cnf(3,axiom,
( c_lessequals(u,v,tc_set(w))
| c_in(c_Main_OsubsetI__1(u,v,w),u,w) ),
file('SWV240-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Main_OsubsetI__1(u,v,w),v,w)
| c_lessequals(u,v,tc_set(w)) ),
file('SWV240-2.p',unknown),
[] ).
cnf(5,axiom,
c_lessequals(u,u,tc_set(v)),
file('SWV240-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('SWV240-2.p',unknown),
[] ).
cnf(9,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.2,6.0')] ).
cnf(10,plain,
~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(mrr,[status(thm)],[9,5]),
[iquote('0:MRR:9.0,5.0')] ).
cnf(11,plain,
( ~ c_in(c_Main_OsubsetI__1(u,c_Message_Oanalz(v),tc_Message_Omsg),v,tc_Message_Omsg)
| c_lessequals(u,c_Message_Oanalz(v),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.1,4.0')] ).
cnf(15,plain,
( c_lessequals(u,c_Message_Oanalz(u),tc_set(tc_Message_Omsg))
| c_lessequals(u,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.1,11.0')] ).
cnf(16,plain,
c_lessequals(u,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)),
inference(obv,[status(thm),theory(equality)],[15]),
[iquote('0:Obv:15.0')] ).
cnf(17,plain,
$false,
inference(unc,[status(thm)],[16,10]),
[iquote('0:UnC:16.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV240-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n007.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 : Thu Jun 16 05:06:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.40
% 0.20/0.40 SPASS V 3.9
% 0.20/0.40 SPASS beiseite: Proof found.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.20/0.40 SPASS allocated 63098 KBytes.
% 0.20/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.20/0.40 0:00:00.03 for the input.
% 0.20/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.40 0:00:00.00 for inferences.
% 0.20/0.40 0:00:00.00 for the backtracking.
% 0.20/0.40 0:00:00.00 for the reduction.
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 Here is a proof with depth 2, length 12 :
% 0.20/0.40 % SZS output start Refutation
% See solution above
% 0.20/0.40 Formulae used in the proof : cls_Message_Oanalz_OInj_0 cls_Message_Oanalz__subset__cong_0 cls_Set_OsubsetI_0 cls_Set_OsubsetI_1 cls_Set_Osubset__refl_0 cls_conjecture_0
% 0.20/0.40
%------------------------------------------------------------------------------