TSTP Solution File: SWV781-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 21:45:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(508,axiom,
equal(c_Event_Oknows(u,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(u)),
file('SWV781-1.p',unknown),
[] ).
cnf(517,axiom,
c_lessequals(u,u,tc_fun(v,tc_bool)),
file('SWV781-1.p',unknown),
[] ).
cnf(520,axiom,
equal(c_List_OtakeWhile(u,c_List_Olist_ONil(v),v),c_List_Olist_ONil(v)),
file('SWV781-1.p',unknown),
[] ).
cnf(545,axiom,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('SWV781-1.p',unknown),
[] ).
cnf(562,plain,
~ c_lessequals(c_Event_OinitState(c_Message_Oagent_OSpy),c_Event_OinitState(c_Message_Oagent_OSpy),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rew,[status(thm),theory(equality)],[508,545,520]),
[iquote('0:Rew:508.0,545.0,520.0,545.0,508.0,545.0')] ).
cnf(563,plain,
$false,
inference(mrr,[status(thm)],[562,517]),
[iquote('0:MRR:562.0,517.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV781-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 18:31:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53
% 0.19/0.53 SPASS V 3.9
% 0.19/0.53 SPASS beiseite: Proof found.
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 252 clauses.
% 0.19/0.53 SPASS allocated 76546 KBytes.
% 0.19/0.53 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.53 0:00:00.05 for the input.
% 0.19/0.53 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.53 0:00:00.00 for inferences.
% 0.19/0.53 0:00:00.00 for the backtracking.
% 0.19/0.53 0:00:00.04 for the reduction.
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 Here is a proof with depth 0, length 6 :
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 Formulae used in the proof : cls_knows__Nil_0 cls_equalityE_0 cls_takeWhile_Osimps_I1_J_0 cls_conjecture_0
% 0.19/0.53
%------------------------------------------------------------------------------