%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21:42:00 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 8 unt; 0 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 15 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 : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,c_Event_Oused(v),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(u,c_emptyset,tc_Message_Omsg)),c_Event_Oused(v),tc_set(tc_Message_Omsg)) ),
file('SWV279-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(u,c_insert(u,v,w),w),
file('SWV279-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,v,w)
| ~ c_lessequals(v,x,tc_set(w))
| c_in(u,x,w) ),
file('SWV279-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('SWV279-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('SWV279-2.p',unknown),
[] ).
cnf(12,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[3,2]),
[iquote('0:Res:3.1,2.0')] ).
cnf(14,plain,
c_in(u,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5,12]),
[iquote('0:Res:5.0,12.0')] ).
cnf(20,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[3,1]),
[iquote('0:Res:3.1,1.0')] ).
cnf(24,plain,
c_in(u,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v,u),w,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5,20]),
[iquote('0:Res:5.0,20.0')] ).
cnf(53,plain,
( ~ c_in(u,c_Event_Oused(v),tc_Message_Omsg)
| ~ c_in(w,c_Message_Oparts(c_insert(u,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(w,c_Event_Oused(v),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,6]),
[iquote('0:Res:4.1,6.1')] ).
cnf(76,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Event_Oused(w),tc_Message_Omsg)
| c_in(u,c_Event_Oused(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[14,53]),
[iquote('0:Res:14.0,53.1')] ).
cnf(77,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Event_Oused(w),tc_Message_Omsg)
| c_in(v,c_Event_Oused(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[24,53]),
[iquote('0:Res:24.0,53.1')] ).
cnf(107,plain,
c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[7,76]),
[iquote('0:Res:7.0,76.0')] ).
cnf(108,plain,
~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(mrr,[status(thm)],[8,107]),
[iquote('0:MRR:8.0,107.0')] ).
cnf(109,plain,
c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[7,77]),
[iquote('0:Res:7.0,77.0')] ).
cnf(110,plain,
$false,
inference(mrr,[status(thm)],[109,108]),
[iquote('0:MRR:109.0,108.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 22:17:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 99 clauses, backtracked 0 clauses, performed 0 splits and kept 82 clauses.
% 0.18/0.41 SPASS allocated 63255 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.41 0:00:00.04 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.01 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 4, length 19 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : cls_Message_OMPair__parts_0 cls_Message_OMPair__parts_1 cls_Message_Oparts_OInj_0 cls_Public_Oused__parts__subset__parts_0 cls_Set_Oinsert__iff_1 cls_Set_OsubsetD_0 cls_conjecture_0 cls_conjecture_1
% 0.18/0.41
%------------------------------------------------------------------------------