%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV283-2 : 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 : n015.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 1.72s 1.27s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 13 unt; 2 def)
% Number of atoms : 71 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 24 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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(f3,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(f4,negated_conjecture,
! [X0] :
( ~ c_lessequals(v_x,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_0) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( c_lessequals(X1,v_xd(X1),tc_nat)
| c_lessequals(X0,v_xd(X0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
tcf(c_55,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,[],[f1]) ).
tcf(c_56,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,[],[f2]) ).
tcf(c_57,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,[],[f3]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( ~ c_lessequals(v_x,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( c_lessequals(X1,v_xd(X1),tc_nat)
| c_lessequals(X0,v_xd(X0),tc_nat) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_60]) ).
tcf(c_95,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
tcf(c_96,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c_lessequals(X0,v_xd(X0),tc_nat) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_59]) ).
tcf(c_97,negated_conjecture,
iPr_def_11,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_59]) ).
tcf(c_99,definition,
iPr_def_13 = c_insert(v_xc,c_emptyset,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_100,definition,
iPr_def_14 = c_Message_Oparts(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_101,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_103,negated_conjecture,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),iPr_def_14,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),iPr_def_12,tc_Message_Omsg)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_104,negated_conjecture,
iPr_def_11,
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( ~ c_lessequals(v_x,X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_12,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_298,negated_conjecture,
! [X0: $i] : c_lessequals(X0,v_xd(X0),tc_nat),
inference(global_subsumption_just,[status(thm)],[c_106,c_104,c_106]) ).
tcf(c_302,negated_conjecture,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_xd(X0)),iPr_def_14,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X0)),iPr_def_12,tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_101,c_103]) ).
tcf(c_312,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__upX(v_xc),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(iPr_def_13),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_99,c_55]) ).
tcf(c_313,plain,
! [X0: $i] :
( ~ c_lessequals(v_sko__upX(v_xc),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_312,c_100]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_298,c_56]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_298,c_57]) ).
tcf(c_398,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat))),iPr_def_14,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_321,c_313]) ).
tcf(c_517,plain,
! [X0: $i] : c_in(c_Message_Omsg_ONonce(v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat))),iPr_def_12,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_302,c_398]) ).
tcf(c_519,plain,
! [X0: $i] : ~ c_lessequals(v_x,v_xd(c_plus(X0,v_sko__upX(v_xc),tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_517,c_107]) ).
tcf(c_527,plain,
$false,
inference(superposition,[status(thm)],[c_327,c_519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV283-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 19:04:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.72/1.27 % SZS status Started for theBenchmark.p
% 1.72/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.27
% 1.72/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.27
% 1.72/1.27 % ------ iProver source info
% 1.72/1.27
% 1.72/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.27 % git: non_committed_changes: false
% 1.72/1.27
% 1.72/1.27 % ------ Parsing...% successful
% 1.72/1.27
% 1.72/1.27
% 1.72/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/1.27
% 1.72/1.27 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 1.72/1.27 % ------ Proving...
% 1.72/1.27 % ------ Problem Properties
% 1.72/1.27
% 1.72/1.27 %
% 1.72/1.27 % clauses 11
% 1.72/1.27 % conjectures 5
% 1.72/1.27 % EPR 2
% 1.72/1.27 % Horn 10
% 1.72/1.27 % unary 5
% 1.72/1.27 % binary 5
% 1.72/1.27 % lits 18
% 1.72/1.27 % lits eq 3
% 1.72/1.27 % fd_pure 0
% 1.72/1.27 % fd_pseudo 0
% 1.72/1.27 % fd_cond 0
% 1.72/1.27 % fd_pseudo_cond 0
% 1.72/1.27 % AC symbols 0
% 1.72/1.27
% 1.72/1.27 % ------ Schedule dynamic 5 is on
% 1.72/1.27
% 1.72/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.72/1.27
% 1.72/1.27
% 1.72/1.27 % ------
% 1.72/1.27 % Current options:
% 1.72/1.27 % ------
% 1.72/1.27
% 1.72/1.27
% 1.72/1.27 %
% 1.72/1.27
% 1.72/1.27 % ------ Proving...
% 1.72/1.27 %
% 1.72/1.27
% 1.72/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.27
% 1.72/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/1.27
% 1.72/1.27
%------------------------------------------------------------------------------