TSTP Solution File: SWV244-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV244-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 21:41:46 EDT 2022
% Result : Unsatisfiable 0.68s 0.86s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
file('SWV244-1.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV244-1.p',unknown),
[] ).
cnf(1331,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(x,v,w),w) ),
file('SWV244-1.p',unknown),
[] ).
cnf(1332,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(v,x,w),w) ),
file('SWV244-1.p',unknown),
[] ).
cnf(1333,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV244-1.p',unknown),
[] ).
cnf(1382,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV244-1.p',unknown),
[] ).
cnf(1419,plain,
( c_in(v_X,v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[4,1333]),
[iquote('0:Res:4.0,1333.0')] ).
cnf(1426,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1332,5]),
[iquote('0:Res:1332.1,5.0')] ).
cnf(1427,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1331,5]),
[iquote('0:Res:1331.1,5.0')] ).
cnf(1439,plain,
c_in(v_X,v_H,tc_Message_Omsg),
inference(mrr,[status(thm)],[1419,1427]),
[iquote('0:MRR:1419.1,1427.0')] ).
cnf(1501,plain,
~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1382,1426]),
[iquote('0:Res:1382.1,1426.0')] ).
cnf(1633,plain,
~ c_in(v_X,v_H,tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1331,1501]),
[iquote('0:Res:1331.1,1501.0')] ).
cnf(1634,plain,
$false,
inference(mrr,[status(thm)],[1633,1439]),
[iquote('0:MRR:1633.0,1439.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV244-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.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 : Wed Jun 15 03:42:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/0.86
% 0.68/0.86 SPASS V 3.9
% 0.68/0.86 SPASS beiseite: Proof found.
% 0.68/0.86 % SZS status Theorem
% 0.68/0.86 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.86 SPASS derived 186 clauses, backtracked 0 clauses, performed 0 splits and kept 1408 clauses.
% 0.68/0.86 SPASS allocated 78025 KBytes.
% 0.68/0.86 SPASS spent 0:00:00.49 on the problem.
% 0.68/0.86 0:00:00.09 for the input.
% 0.68/0.86 0:00:00.00 for the FLOTTER CNF translation.
% 0.68/0.86 0:00:00.03 for inferences.
% 0.68/0.86 0:00:00.00 for the backtracking.
% 0.68/0.86 0:00:00.12 for the reduction.
% 0.68/0.86
% 0.68/0.86
% 0.68/0.86 Here is a proof with depth 3, length 13 :
% 0.68/0.86 % SZS output start Refutation
% See solution above
% 0.68/0.86 Formulae used in the proof : cls_conjecture_0 cls_conjecture_1 cls_Set_OUnCI_0 cls_Set_OUnCI_1 cls_Set_OUnE_0 cls_Message_Oanalz_OInj_0
% 0.68/0.86
%------------------------------------------------------------------------------