%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:16:56 PM UTC 2026
% Result : Unsatisfiable 18.94s 3.28s
% Output : CNFRefutation 18.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1522,axiom,
! [X0,X1] :
( ~ c_lessequals(v_sko__upX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
fof(f1523,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f1524,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f1531,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1532,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1533,negated_conjecture,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_2165,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ c_lessequals(v_sko__upX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1522]) ).
tcf(c_2166,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[],[f1523]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X2,tc_nat)
| ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat) ),
inference(cnf_transformation,[],[f1524]) ).
tcf(c_2174,negated_conjecture,
! [X0: $i] : c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[],[f1531]) ).
tcf(c_2175,negated_conjecture,
! [X0: $i] :
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1532]) ).
tcf(c_2176,negated_conjecture,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Message_Oparts(c_insert(v_msg,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1533]) ).
tcf(c_3640,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(superposition,[status(thm)],[c_2176,c_2165]) ).
tcf(c_3642,plain,
! [X0: $i] :
( ~ c_lessequals(v_N,v_x(X0),tc_nat)
| ~ c_lessequals(v_sko__upX(v_msg),v_x(X0),tc_nat) ),
inference(superposition,[status(thm)],[c_3640,c_2175]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_2174,c_2166]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_2174,c_2167]) ).
tcf(c_5658,plain,
! [X0: $i] : ~ c_lessequals(v_N,v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_5552,c_3642]) ).
tcf(c_5728,plain,
$false,
inference(superposition,[status(thm)],[c_5558,c_5658]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV284-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 19:01:02 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 18.94/3.28 % SZS status Started for theBenchmark.p
% 18.94/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 18.94/3.28
% 18.94/3.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.94/3.28
% 18.94/3.28 % ------ iProver source info
% 18.94/3.28
% 18.94/3.28 % git: date: 2026-07-19 20:42:38 +0200
% 18.94/3.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.94/3.28 % git: non_committed_changes: false
% 18.94/3.28
% 18.94/3.28 % ------ Parsing...% successful
% 18.94/3.28
% 18.94/3.28
% 18.94/3.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.94/3.28
% 18.94/3.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e sup_sim: 0 sf_s rm: 4 0s sf_e %
% 18.94/3.28
% 18.94/3.28 % ------ Preprocessing...%
% 18.94/3.28
% 18.94/3.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.94/3.28 % ------ Proving...
% 18.94/3.28 % ------ Problem Properties
% 18.94/3.28
% 18.94/3.28 %
% 18.94/3.28 % clauses 625
% 18.94/3.28 % conjectures 47
% 18.94/3.28 % EPR 287
% 18.94/3.28 % Horn 591
% 18.94/3.28 % unary 145
% 18.94/3.28 % binary 415
% 18.94/3.28 % lits 1170
% 18.94/3.28 % lits eq 213
% 18.94/3.28 % fd_pure 0
% 18.94/3.28 % fd_pseudo 0
% 18.94/3.28 % fd_cond 21
% 18.94/3.28 % fd_pseudo_cond 59
% 18.94/3.28 % AC symbols 0
% 18.94/3.28
% 18.94/3.28 % ------ Input Options Time Limit: Unbounded
% 18.94/3.28
% 18.94/3.28
% 18.94/3.28 % ------
% 18.94/3.28 % Current options:
% 18.94/3.28 % ------
% 18.94/3.28
% 18.94/3.28
% 18.94/3.28 %
% 18.94/3.28
% 18.94/3.28 % ------ Proving...
% 18.94/3.28 %
% 18.94/3.28
% 18.94/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 18.94/3.28
% 18.94/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.94/3.28
% 18.94/3.28
%------------------------------------------------------------------------------