TSTP Solution File: SWV281-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV281-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 21:42:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 9 unt; 3 nHn; 17 RR)
% Number of literals : 27 ( 0 equ; 8 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 : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(c_List_Olist_OCons(u,v,w),c_List_Olist_ONil),
file('SWV281-2.p',unknown),
[] ).
cnf(2,axiom,
c_lessequals(u,c_plus(v,u,tc_nat),tc_nat),
file('SWV281-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(c_plus(u,v,tc_nat),c_plus(w,v,tc_nat))
| equal(u,w) ),
file('SWV281-2.p',unknown),
[] ).
cnf(4,axiom,
equal(c_plus(c_0,u,tc_nat),u),
file('SWV281-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_lessequals(v_sko__urX(u),v,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(v),c_Event_Oused(u),tc_Message_Omsg) ),
file('SWV281-2.p',unknown),
[] ).
cnf(6,axiom,
( equal(u,v)
| c_in(c_Message_Omsg_ONonce(u),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
file('SWV281-2.p',unknown),
[] ).
cnf(10,plain,
c_lessequals(u,u,tc_nat),
inference(spr,[status(thm),theory(equality)],[4,2]),
[iquote('0:SpR:4.0,2.0')] ).
cnf(12,plain,
( ~ equal(c_plus(u,v,tc_nat),v)
| equal(c_0,u) ),
inference(spl,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpL:4.0,3.0')] ).
cnf(35,plain,
( ~ c_lessequals(v_sko__urX(v_evs),u,tc_nat)
| equal(u,v)
| c_in(c_Message_Omsg_ONonce(v),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,5]),
[iquote('0:Res:6.1,5.1')] ).
cnf(40,plain,
( equal(v_sko__urX(v_evs),u)
| c_in(c_Message_Omsg_ONonce(u),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[10,35]),
[iquote('0:Res:10.0,35.0')] ).
cnf(45,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H),u,tc_nat)
| equal(v_sko__urX(v_evs),u) ),
inference(res,[status(thm),theory(equality)],[40,5]),
[iquote('0:Res:40.1,5.1')] ).
cnf(49,plain,
equal(c_plus(u,v_sko__urX(v_evs_H),tc_nat),v_sko__urX(v_evs)),
inference(res,[status(thm),theory(equality)],[2,45]),
[iquote('0:Res:2.0,45.0')] ).
cnf(50,plain,
equal(v_sko__urX(v_evs),v_sko__urX(v_evs_H)),
inference(res,[status(thm),theory(equality)],[10,45]),
[iquote('0:Res:10.0,45.0')] ).
cnf(58,plain,
equal(c_plus(u,v_sko__urX(v_evs_H),tc_nat),v_sko__urX(v_evs_H)),
inference(rew,[status(thm),theory(equality)],[50,49]),
[iquote('0:Rew:50.0,49.0')] ).
cnf(70,plain,
( ~ equal(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H))
| equal(c_0,u) ),
inference(spl,[status(thm),theory(equality)],[58,12]),
[iquote('0:SpL:58.0,12.0')] ).
cnf(71,plain,
equal(c_0,u),
inference(obv,[status(thm),theory(equality)],[70]),
[iquote('0:Obv:70.0')] ).
cnf(72,plain,
$false,
inference(aed,[status(thm),theory(equality)],[1,71]),
[iquote('0:AED:1.0,71.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV281-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.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 : Wed Jun 15 05:33:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 57 clauses, backtracked 0 clauses, performed 0 splits and kept 46 clauses.
% 0.20/0.42 SPASS allocated 63158 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.01 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 5, length 17 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : cls_List_Olist_Odistinct__1_0 cls_Nat_Ole__add2_0 cls_Nat_Onat__add__right__cancel_0 cls_Nat_Oop_A_L_Oadd__0_0 cls_Public_ONonce__supply__lemma_0 cls_conjecture_0
% 0.20/0.42
%------------------------------------------------------------------------------