TSTP Solution File: SWV274-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 21:41:58 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 6 unt; 5 nHn; 17 RR)
% Number of literals : 32 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 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(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Osynth(v),tc_Message_Omsg) ),
file('SWV274-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_Message_Osynth(v),tc_Message_Omsg)
| ~ c_lessequals(v,c_Message_Osynth(w),tc_set(tc_Message_Omsg))
| c_in(u,c_Message_Osynth(w),tc_Message_Omsg) ),
file('SWV274-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,c_insert(v,w,x),x)
| equal(u,v)
| c_in(u,w,x) ),
file('SWV274-2.p',unknown),
[] ).
cnf(4,axiom,
( c_lessequals(u,v,tc_set(w))
| c_in(c_Main_OsubsetI__1(u,v,w),u,w) ),
file('SWV274-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Main_OsubsetI__1(u,v,w),v,w)
| c_lessequals(u,v,tc_set(w)) ),
file('SWV274-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('SWV274-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('SWV274-2.p',unknown),
[] ).
cnf(8,axiom,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('SWV274-2.p',unknown),
[] ).
cnf(14,plain,
( ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(u),tc_set(tc_Message_Omsg))
| c_in(v_Y,c_Message_Osynth(u),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,2]),
[iquote('0:Res:6.0,2.0')] ).
cnf(16,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[14,8]),
[iquote('0:Res:14.1,8.0')] ).
cnf(19,plain,
( ~ c_in(c_Main_OsubsetI__1(u,c_Message_Osynth(v),tc_Message_Omsg),v,tc_Message_Omsg)
| c_lessequals(u,c_Message_Osynth(v),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.1,5.0')] ).
cnf(27,plain,
( c_lessequals(c_insert(u,v,w),x,tc_set(w))
| equal(c_Main_OsubsetI__1(c_insert(u,v,w),x,w),u)
| c_in(c_Main_OsubsetI__1(c_insert(u,v,w),x,w),v,w) ),
inference(res,[status(thm),theory(equality)],[4,3]),
[iquote('0:Res:4.1,3.0')] ).
cnf(53,plain,
( c_lessequals(c_insert(u,v,tc_Message_Omsg),c_Message_Osynth(v),tc_set(tc_Message_Omsg))
| equal(c_Main_OsubsetI__1(c_insert(u,v,tc_Message_Omsg),c_Message_Osynth(v),tc_Message_Omsg),u)
| c_lessequals(c_insert(u,v,tc_Message_Omsg),c_Message_Osynth(v),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[27,19]),
[iquote('0:Res:27.2,19.0')] ).
cnf(58,plain,
( equal(c_Main_OsubsetI__1(c_insert(u,v,tc_Message_Omsg),c_Message_Osynth(v),tc_Message_Omsg),u)
| c_lessequals(c_insert(u,v,tc_Message_Omsg),c_Message_Osynth(v),tc_set(tc_Message_Omsg)) ),
inference(obv,[status(thm),theory(equality)],[53]),
[iquote('0:Obv:53.0')] ).
cnf(74,plain,
equal(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_X),
inference(res,[status(thm),theory(equality)],[58,16]),
[iquote('0:Res:58.1,16.0')] ).
cnf(86,plain,
( ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(spl,[status(thm),theory(equality)],[74,5]),
[iquote('0:SpL:74.0,5.0')] ).
cnf(89,plain,
$false,
inference(mrr,[status(thm)],[86,7,16]),
[iquote('0:MRR:86.0,86.1,7.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SWV274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 15:40:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.44
% 0.21/0.44 SPASS V 3.9
% 0.21/0.44 SPASS beiseite: Proof found.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.44 SPASS derived 64 clauses, backtracked 0 clauses, performed 0 splits and kept 50 clauses.
% 0.21/0.44 SPASS allocated 63196 KBytes.
% 0.21/0.44 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.44 0:00:00.04 for the input.
% 0.21/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.44 0:00:00.00 for inferences.
% 0.21/0.44 0:00:00.00 for the backtracking.
% 0.21/0.44 0:00:00.00 for the reduction.
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 Here is a proof with depth 4, length 17 :
% 0.21/0.44 % SZS output start Refutation
% See solution above
% 0.21/0.44 Formulae used in the proof : cls_Message_Osynth_OInj_0 cls_Message_Osynth__trans_0 cls_Set_OinsertE_0 cls_Set_OsubsetI_0 cls_Set_OsubsetI_1 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 0.21/0.44
%------------------------------------------------------------------------------