%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV284-2 : 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 : n004.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 2.01s 1.32s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 3 def)
% Number of atoms : 52 ( 3 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 36 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,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(f3,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) ).
fof(f4,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(f5,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(f6,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) ).
tcf(c_55,negated_conjecture,
! [X0: $i] : c_lessequals(X0,v_x(X0),tc_nat),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,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,[],[f2]) ).
tcf(c_57,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,[],[f3]) ).
tcf(c_58,plain,
! [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,[],[f4]) ).
tcf(c_59,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,[],[f5]) ).
tcf(c_60,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,[],[f6]) ).
tcf(c_88,definition,
iPr_def_10 = c_insert(v_msg,c_emptyset,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89,definition,
iPr_def_11 = c_Message_Oparts(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_90,definition,
iPr_def_12 = c_Event_Oused(v_list),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),iPr_def_12,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_x(X0)),iPr_def_11,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_57,c_90,c_88,c_89]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( ~ c_lessequals(v_N,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_12,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] : c_lessequals(X0,v_x(X0),tc_nat),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_281,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_x(X0)),iPr_def_11,tc_Message_Omsg)
| ~ c_lessequals(v_N,v_x(X0),tc_nat) ),
inference(superposition,[status(thm)],[c_91,c_92]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_x(c_plus(X1,X0,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_93,c_59]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_x(c_plus(X0,X1,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_93,c_60]) ).
tcf(c_307,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__upX(v_msg),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(iPr_def_10),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_88,c_58]) ).
tcf(c_308,plain,
! [X0: $i] :
( ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_11,tc_Message_Omsg)
| ~ c_lessequals(v_sko__upX(v_msg),X0,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_307,c_89]) ).
tcf(c_332,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(v_x(c_plus(X0,v_sko__upX(v_msg),tc_nat))),iPr_def_11,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_293,c_308]) ).
tcf(c_347,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_281,c_332]) ).
tcf(c_353,plain,
$false,
inference(superposition,[status(thm)],[c_301,c_347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV284-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 19:01:06 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.18/0.46 % Proving...
% 2.01/1.32 % SZS status Started for theBenchmark.p
% 2.01/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.32
% 2.01/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.01/1.32
% 2.01/1.32 % ------ iProver source info
% 2.01/1.32
% 2.01/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 2.01/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.01/1.32 % git: non_committed_changes: false
% 2.01/1.32
% 2.01/1.32 % ------ Parsing...% successful
% 2.01/1.32
% 2.01/1.32
% 2.01/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.01/1.32
% 2.01/1.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.01/1.32
% 2.01/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.01/1.32
% 2.01/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.01/1.32 % ------ Proving...
% 2.01/1.32 % ------ Problem Properties
% 2.01/1.32
% 2.01/1.32 %
% 2.01/1.32 % clauses 9
% 2.01/1.32 % conjectures 3
% 2.01/1.32 % EPR 0
% 2.01/1.32 % Horn 8
% 2.01/1.32 % unary 4
% 2.01/1.32 % binary 5
% 2.01/1.32 % lits 14
% 2.01/1.32 % lits eq 3
% 2.01/1.32 % fd_pure 0
% 2.01/1.32 % fd_pseudo 0
% 2.01/1.32 % fd_cond 0
% 2.01/1.32 % fd_pseudo_cond 0
% 2.01/1.32 % AC symbols 0
% 2.01/1.32
% 2.01/1.32 % ------ Schedule dynamic 5 is on
% 2.01/1.32
% 2.01/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.01/1.32
% 2.01/1.32
% 2.01/1.32 % ------
% 2.01/1.32 % Current options:
% 2.01/1.32 % ------
% 2.01/1.32
% 2.01/1.32
% 2.01/1.32 %
% 2.01/1.32
% 2.01/1.32 % ------ Proving...
% 2.01/1.32 %
% 2.01/1.32
% 2.01/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.32
% 2.01/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.32
% 2.01/1.32
%------------------------------------------------------------------------------