TSTP Solution File: SWV272-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 21:41:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 5 nHn; 18 RR)
% Number of literals : 30 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Osynth(w),tc_Message_Omsg)
| c_in(v,c_Message_Osynth(w),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg) ),
file('SWV272-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV272-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV272-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV272-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(v,x,w),w) ),
file('SWV272-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(x,v,w),w) ),
file('SWV272-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV272-2.p',unknown),
[] ).
cnf(8,axiom,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV272-2.p',unknown),
[] ).
cnf(9,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,8]),
[iquote('0:Res:6.1,8.0')] ).
cnf(10,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5,8]),
[iquote('0:Res:5.1,8.0')] ).
cnf(16,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('0:Res:7.0,4.0')] ).
cnf(20,plain,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[3,2]),
[iquote('0:Res:3.1,2.0')] ).
cnf(32,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[16,2]),
[iquote('0:Res:16.0,2.0')] ).
cnf(35,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(mrr,[status(thm)],[32,10]),
[iquote('0:MRR:32.1,10.0')] ).
cnf(38,plain,
( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[35,1]),
[iquote('0:Res:35.0,1.0')] ).
cnf(39,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg),
inference(mrr,[status(thm)],[38,9]),
[iquote('0:MRR:38.0,9.0')] ).
cnf(41,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[39,20]),
[iquote('0:Res:39.0,20.0')] ).
cnf(42,plain,
$false,
inference(mrr,[status(thm)],[41,10]),
[iquote('0:MRR:41.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV272-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 16:49:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 26 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.19/0.41 SPASS allocated 63117 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 4, length 18 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_Message_OCrypt__synth_1 cls_Message_Oparts_OBody_0 cls_Message_Oparts_OInj_0 cls_Set_OUn__iff_0 cls_Set_OUn__iff_1 cls_Set_OUn__iff_2 cls_conjecture_1 cls_conjecture_2
% 0.19/0.41
%------------------------------------------------------------------------------