TSTP Solution File: SWV245-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV245-2 : 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 21:41:47 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 8 unt; 5 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 11 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 : 13 ( 13 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_Oanalz(w),tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(w),tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Osynth(w),tc_Message_Omsg)
| c_in(u,c_Message_Osynth(w),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(x,v,w),w) ),
file('SWV245-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_union(v,x,w),w) ),
file('SWV245-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV245-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),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('SWV245-2.p',unknown),
[] ).
cnf(8,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('SWV245-2.p',unknown),
[] ).
cnf(9,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)],[5,8]),
[iquote('0:Res:5.1,8.0')] ).
cnf(10,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[4,8]),
[iquote('0:Res:4.1,8.0')] ).
cnf(16,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[7,6]),
[iquote('0:Res:7.0,6.0')] ).
cnf(22,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[3,1]),
[iquote('0:Res:3.1,1.0')] ).
cnf(24,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(c_union(w,x,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[5,22]),
[iquote('0:Res:5.1,22.0')] ).
cnf(50,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| 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)],[16,1]),
[iquote('0:Res:16.1,1.0')] ).
cnf(57,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(mrr,[status(thm)],[50,9]),
[iquote('0:MRR:50.1,9.0')] ).
cnf(64,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[57,2]),
[iquote('0:Res:57.0,2.0')] ).
cnf(65,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(mrr,[status(thm)],[64,10]),
[iquote('0:MRR:64.0,10.0')] ).
cnf(67,plain,
c_in(v_X,c_Message_Oanalz(c_union(v_G,u,tc_Message_Omsg)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[65,24]),
[iquote('0:Res:65.0,24.0')] ).
cnf(72,plain,
$false,
inference(unc,[status(thm)],[67,9]),
[iquote('0:UnC:67.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % 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 : Thu Jun 16 00:05:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.41
% 0.13/0.41 SPASS V 3.9
% 0.13/0.41 SPASS beiseite: Proof found.
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 SPASS derived 56 clauses, backtracked 0 clauses, performed 0 splits and kept 53 clauses.
% 0.13/0.41 SPASS allocated 63168 KBytes.
% 0.13/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.13/0.41 0:00:00.04 for the input.
% 0.13/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.41 0:00:00.00 for inferences.
% 0.13/0.41 0:00:00.00 for the backtracking.
% 0.13/0.41 0:00:00.00 for the reduction.
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 Here is a proof with depth 4, length 19 :
% 0.13/0.41 % SZS output start Refutation
% See solution above
% 0.13/0.41 Formulae used in the proof : cls_Message_OMPair__analz_1 cls_Message_OMPair__synth_1 cls_Message_Oanalz_OInj_0 cls_Set_OUnCI_0 cls_Set_OUnCI_1 cls_Set_OUnE_0 cls_conjecture_1 cls_conjecture_2
% 0.13/0.41
%------------------------------------------------------------------------------