%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV242-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 21:41:45 EDT 2022
% Result : Unsatisfiable 3.98s 4.21s
% Output : Refutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 7 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 0 equ; 13 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; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
( ~ c_lessequals(u,v,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(u),c_Message_Oanalz(v),tc_set(tc_Message_Omsg)) ),
file('SWV242-1.p',unknown),
[] ).
cnf(30,axiom,
c_lessequals(u,c_union(u,v,w),tc_set(w)),
file('SWV242-1.p',unknown),
[] ).
cnf(31,axiom,
c_lessequals(u,c_union(v,u,w),tc_set(w)),
file('SWV242-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ c_lessequals(u,v,tc_set(w))
| ~ c_lessequals(v,x,tc_set(w))
| c_lessequals(u,x,tc_set(w)) ),
file('SWV242-1.p',unknown),
[] ).
cnf(33,axiom,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('SWV242-1.p',unknown),
[] ).
cnf(34,axiom,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('SWV242-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('SWV242-1.p',unknown),
[] ).
cnf(1397,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H_H),u,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,u,tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.0,32.1')] ).
cnf(1413,plain,
( ~ c_lessequals(c_Message_Oanalz(v_G_H),u,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,u,tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[33,32]),
[iquote('0:Res:33.0,32.1')] ).
cnf(8316,plain,
( ~ c_lessequals(v_H_H,u,tc_set(tc_Message_Omsg))
| c_lessequals(v_H,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[15,1397]),
[iquote('0:Res:15.1,1397.0')] ).
cnf(8399,plain,
( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[8316,35]),
[iquote('0:Res:8316.1,35.1')] ).
cnf(8401,plain,
~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(mrr,[status(thm)],[8399,31]),
[iquote('0:MRR:8399.0,31.0')] ).
cnf(8525,plain,
( ~ c_lessequals(v_G_H,u,tc_set(tc_Message_Omsg))
| c_lessequals(v_G,c_Message_Oanalz(u),tc_set(tc_Message_Omsg)) ),
inference(res,[status(thm),theory(equality)],[15,1413]),
[iquote('0:Res:15.1,1413.0')] ).
cnf(8570,plain,
~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(res,[status(thm),theory(equality)],[8525,8401]),
[iquote('0:Res:8525.1,8401.0')] ).
cnf(8572,plain,
$false,
inference(mrr,[status(thm)],[8570,30]),
[iquote('0:MRR:8570.0,30.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV242-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 00:58:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.98/4.21
% 3.98/4.21 SPASS V 3.9
% 3.98/4.21 SPASS beiseite: Proof found.
% 3.98/4.21 % SZS status Theorem
% 3.98/4.21 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.98/4.21 SPASS derived 6242 clauses, backtracked 24 clauses, performed 3 splits and kept 4592 clauses.
% 3.98/4.21 SPASS allocated 84237 KBytes.
% 3.98/4.21 SPASS spent 0:00:03.73 on the problem.
% 3.98/4.21 0:00:00.09 for the input.
% 3.98/4.21 0:00:00.00 for the FLOTTER CNF translation.
% 3.98/4.21 0:00:00.15 for inferences.
% 3.98/4.21 0:00:00.02 for the backtracking.
% 3.98/4.21 0:00:03.20 for the reduction.
% 3.98/4.21
% 3.98/4.21
% 3.98/4.21 Here is a proof with depth 4, length 15 :
% 3.98/4.21 % SZS output start Refutation
% See solution above
% 3.98/4.21 Formulae used in the proof : cls_Message_Oanalz__mono_0 cls_Set_OUn__upper1_0 cls_Set_OUn__upper2_0 cls_Set_Osubset__trans_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2
% 3.98/4.21
%------------------------------------------------------------------------------