%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV281-1 : 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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 30.58s 5.72s
% Output : CNFRefutation 30.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 38 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).
fof(f82,axiom,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f243,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_nat_3) ).
fof(f2432,axiom,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less2_0) ).
fof(f3054,axiom,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_Suc(X0),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).
fof(f3055,plain,
! [X0] : c_Suc(X0) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),
inference(reorient_equations,[],[f3054]) ).
fof(f3558,axiom,
! [X0,X1] : c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f3562,axiom,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f3563,negated_conjecture,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3568,plain,
! [X0] : c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f79,f3055]) ).
tcf(c_3050,plain,
! [X0: $i] : c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat),
inference(cnf_transformation,[],[f3568]) ).
tcf(c_3053,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_3185,plain,
class_Orderings_Oorder(tc_nat),
inference(cnf_transformation,[],[f243]) ).
tcf(c_4586,negated_conjecture,
! [X0: $i,X1: $i] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
inference(cnf_transformation,[],[f2432]) ).
tcf(c_5322,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
inference(cnf_transformation,[],[f3558]) ).
tcf(c_5326,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ c_lessequals(v_sko__urX(X1),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3562]) ).
tcf(c_5327,negated_conjecture,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f3563]) ).
tcf(c_10115,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| ( X0 = X1 )
| ~ c_lessequals(v_sko__urX(v_evs),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_5327,c_5326]) ).
tcf(c_11080,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| ( v_sko__urX(v_evs) = X0 )
| ~ class_Orderings_Oorder(tc_nat) ),
inference(superposition,[status(thm)],[c_3053,c_10115]) ).
tcf(c_11109,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| ( v_sko__urX(v_evs) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_11080,c_3185,c_11080]) ).
tcf(c_11112,plain,
! [X0: $i] :
( ( v_sko__urX(v_evs) = X0 )
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(superposition,[status(thm)],[c_11109,c_5326]) ).
tcf(c_11251,plain,
! [X0: $i] : c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs),
inference(superposition,[status(thm)],[c_5322,c_11112]) ).
tcf(c_11290,plain,
! [X0: $i] : ~ c_less(v_sko__urX(v_evs),X0,tc_nat),
inference(superposition,[status(thm)],[c_11251,c_4586]) ).
tcf(c_11346,plain,
$false,
inference(superposition,[status(thm)],[c_3050,c_11290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 19:00:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 30.58/5.72 % SZS status Started for theBenchmark.p
% 30.58/5.72 % SZS status Unsatisfiable for theBenchmark.p
% 30.58/5.72
% 30.58/5.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 30.58/5.72
% 30.58/5.72 % ------ iProver source info
% 30.58/5.72
% 30.58/5.72 % git: date: 2026-07-19 20:42:38 +0200
% 30.58/5.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 30.58/5.72 % git: non_committed_changes: false
% 30.58/5.72
% 30.58/5.72 % ------ Parsing...% successful
% 30.58/5.72
% 30.58/5.72
% 30.58/5.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 30.58/5.72
% 30.58/5.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 18 0s sf_e sup_sim: 0 sf_s rm: 4 0s sf_e %
% 30.58/5.72
% 30.58/5.72 % ------ Preprocessing...%
% 30.58/5.72
% 30.58/5.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 30.58/5.72 % ------ Proving...
% 30.58/5.72 % ------ Problem Properties
% 30.58/5.72
% 30.58/5.72 %
% 30.58/5.72 % clauses 2242
% 30.58/5.72 % conjectures 90
% 30.58/5.72 % EPR 663
% 30.58/5.72 % Horn 2045
% 30.58/5.72 % unary 688
% 30.58/5.72 % binary 1115
% 30.58/5.72 % lits 4458
% 30.58/5.72 % lits eq 1205
% 30.58/5.72 % fd_pure 0
% 30.58/5.72 % fd_pseudo 0
% 30.58/5.72 % fd_cond 99
% 30.58/5.72 % fd_pseudo_cond 89
% 30.58/5.72 % AC symbols 0
% 30.58/5.72
% 30.58/5.72 % ------ Input Options Time Limit: Unbounded
% 30.58/5.72
% 30.58/5.72
% 30.58/5.72 % ------
% 30.58/5.72 % Current options:
% 30.58/5.72 % ------
% 30.58/5.72
% 30.58/5.72
% 30.58/5.72 %
% 30.58/5.72
% 30.58/5.72 % ------ Proving...
% 30.58/5.72 %
% 30.58/5.72
% 30.58/5.72 % SZS status Unsatisfiable for theBenchmark.p
% 30.58/5.72
% 30.58/5.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.58/5.72
% 30.58/5.72
%------------------------------------------------------------------------------