TSTP Solution File: SWV250-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 21:41:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 4 nHn; 13 RR)
% Number of literals : 21 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 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(1,axiom,
equal(c_Message_Oanalz(c_union(c_Message_Oanalz(u),v,tc_Message_Omsg)),c_Message_Oanalz(c_union(u,v,tc_Message_Omsg))),
file('SWV250-2.p',unknown),
[] ).
cnf(2,axiom,
equal(c_union(c_Message_Oanalz(c_union(u,v,tc_Message_Omsg)),c_Message_Osynth(u),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(u),v,tc_Message_Omsg))),
file('SWV250-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV250-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(v,x,w),w) ),
file('SWV250-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(x,v,w),w) ),
file('SWV250-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('SWV250-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('SWV250-2.p',unknown),
[] ).
cnf(10,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)],[5,7]),
[iquote('0:Res:5.1,7.0')] ).
cnf(11,plain,
~ c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4,7]),
[iquote('0:Res:4.1,7.0')] ).
cnf(25,plain,
( ~ c_in(u,c_Message_Oanalz(c_union(c_Message_Osynth(v),w,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(v,w,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(u,c_Message_Osynth(v),tc_Message_Omsg) ),
inference(spl,[status(thm),theory(equality)],[2,3]),
[iquote('0:SpL:2.0,3.0')] ).
cnf(69,plain,
( c_in(v_x,c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,25]),
[iquote('0:Res:6.0,25.0')] ).
cnf(72,plain,
( c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[1,69]),
[iquote('0:Rew:1.0,69.0')] ).
cnf(73,plain,
$false,
inference(mrr,[status(thm)],[72,10,11]),
[iquote('0:MRR:72.0,72.1,10.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.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 16:30:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 46 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.19/0.42 SPASS allocated 63249 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.42 0:00:00.03 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 2, length 13 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : cls_Message_Oanalz__analz__Un_0 cls_Message_Oanalz__synth__Un_0 cls_Set_OUn__iff_0 cls_Set_OUn__iff_1 cls_Set_OUn__iff_2 cls_conjecture_2 cls_conjecture_3
% 0.19/0.42
%------------------------------------------------------------------------------