%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV283-1 : 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 : n007.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 18.20s 3.17s
% Output : CNFRefutation 18.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 13 unt; 2 def)
% Number of atoms : 77 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 30 |; 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 : 46 ( 0 sgn 46 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1523,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(f1524,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(f1525,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(f1555,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(f1559,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(f1563,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_lessequals(X0,v_xd(X0),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f1564,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_2196,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,[],[f1523]) ).
tcf(c_2197,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,[],[f1524]) ).
tcf(c_2198,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,[],[f1525]) ).
tcf(c_2227,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,[],[f1555]) ).
tcf(c_2231,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,[],[f1559]) ).
tcf(c_2235,negated_conjecture,
! [X0: $i,X1: $i] :
( c_lessequals(X1,v_xd(X1),tc_nat)
| 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(X0)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1563]) ).
tcf(c_2236,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,[],[f1564]) ).
tcf(c_15618,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_2236]) ).
tcf(c_15619,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2236]) ).
tcf(c_15620,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_2235]) ).
tcf(c_15622,negated_conjecture,
iPr_def_11,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2231]) ).
tcf(c_15624,definition,
iPr_def_13 = c_insert(v_xc,c_emptyset,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_15625,definition,
iPr_def_14 = c_Message_Oparts(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_15628,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_15619]) ).
tcf(c_15633,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_15618]) ).
tcf(c_15636,negated_conjecture,
iPr_def_11,
inference(demodulation,[status(thm)],[c_15622]) ).
tcf(c_15638,negated_conjecture,
! [X0: $i] :
( c_lessequals(X0,v_xd(X0),tc_nat)
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_15620]) ).
tcf(c_15642,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_2227]) ).
tcf(c_22395,negated_conjecture,
! [X0: $i] : c_lessequals(X0,v_xd(X0),tc_nat),
inference(global_subsumption_just,[status(thm)],[c_15638,c_15636,c_15638]) ).
tcf(c_22407,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_15633,c_15628,c_15633]) ).
tcf(c_23012,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_xd(c_plus(X1,X0,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_22395,c_2197]) ).
tcf(c_23065,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,v_xd(c_plus(X0,X1,tc_nat)),tc_nat),
inference(superposition,[status(thm)],[c_22395,c_2198]) ).
tcf(c_26517,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_15624,c_2196]) ).
tcf(c_26518,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_26517,c_15625]) ).
tcf(c_38133,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_23012,c_26518]) ).
tcf(c_40084,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_22407,c_38133]) ).
tcf(c_40086,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_40084,c_15642]) ).
tcf(c_40088,plain,
$false,
inference(superposition,[status(thm)],[c_23065,c_40086]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 18:58:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 18.20/3.17 % SZS status Started for theBenchmark.p
% 18.20/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 18.20/3.17
% 18.20/3.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.20/3.17
% 18.20/3.17 % ------ iProver source info
% 18.20/3.17
% 18.20/3.17 % git: date: 2026-07-19 20:42:38 +0200
% 18.20/3.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.20/3.17 % git: non_committed_changes: false
% 18.20/3.17
% 18.20/3.17 % ------ Parsing...% successful
% 18.20/3.17
% 18.20/3.17
% 18.20/3.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.20/3.17
% 18.20/3.17 % ------ Preprocessing... sup_sim: 1 sf_s rm: 18 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 30 0s sf_e pe_s pe_e %
% 18.20/3.17
% 18.20/3.17 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.20/3.17
% 18.20/3.17 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 18.20/3.17 % ------ Proving...
% 18.20/3.17 % ------ Problem Properties
% 18.20/3.17
% 18.20/3.17 %
% 18.20/3.17 % clauses 400
% 18.20/3.17 % conjectures 11
% 18.20/3.17 % EPR 34
% 18.20/3.17 % Horn 360
% 18.20/3.17 % unary 116
% 18.20/3.17 % binary 225
% 18.20/3.17 % lits 743
% 18.20/3.17 % lits eq 231
% 18.20/3.17 % fd_pure 0
% 18.20/3.17 % fd_pseudo 0
% 18.20/3.17 % fd_cond 21
% 18.20/3.17 % fd_pseudo_cond 61
% 18.20/3.17 % AC symbols 0
% 18.20/3.17
% 18.20/3.17 % ------ Schedule dynamic 5 is on
% 18.20/3.17
% 18.20/3.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.20/3.17
% 18.20/3.17
% 18.20/3.17 % ------
% 18.20/3.17 % Current options:
% 18.20/3.17 % ------
% 18.20/3.17
% 18.20/3.17
% 18.20/3.17 %
% 18.20/3.17
% 18.20/3.17 % ------ Proving...
% 18.20/3.17 %
% 18.20/3.17
% 18.20/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 18.20/3.17
% 18.20/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.20/3.17
% 18.20/3.17
%------------------------------------------------------------------------------