%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV281-2 : 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 : 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 1.72s 1.17s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 18 unt; 2 def)
% Number of atoms : 51 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,axiom,
! [X2,X0,X1] : c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1_0) ).
fof(f3,axiom,
! [X0,X1] : c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( X0 = X2
| c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onat__add__right__cancel_0) ).
fof(f5,axiom,
! [X0] : c_plus(c_0,X0,tc_nat) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
fof(f6,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) ).
tcf(c_55,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,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,c_plus(X1,X0,tc_nat),tc_nat),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i] : c_plus(c_0,X0,tc_nat) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [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,[],[f6]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X3),tc_Message_Omsg)
| ( tc_nat != tc_nat )
| ( v_sko__urX(X3) != X1 )
| ( c_plus(X0,X1,tc_nat) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_60]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] : ~ c_in(c_Message_Omsg_ONonce(c_plus(X0,v_sko__urX(X1),tc_nat)),c_Event_Oused(X1),tc_Message_Omsg),
inference(unflattening,[status(thm)],[c_106]) ).
tcf(c_144,definition,
iPr_def_10 = c_Event_Oused(v_evs),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_145,definition,
iPr_def_11 = c_Event_Oused(v_evs_H),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X1),iPr_def_11,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( X0 = X1 ) ),
inference(demodulation,[status(thm)],[c_55,c_145,c_144]) ).
tcf(c_272,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(v_sko__urX(X0)),c_Event_Oused(X0),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_59,c_107]) ).
tcf(c_274,plain,
! [X0: $i] : ~ c_in(c_Message_Omsg_ONonce(c_plus(X0,v_sko__urX(v_evs),tc_nat)),iPr_def_10,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_144,c_107]) ).
tcf(c_278,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),iPr_def_11,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_145,c_272]) ).
tcf(c_279,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs)),iPr_def_10,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_144,c_272]) ).
tcf(c_280,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(X0),iPr_def_10,tc_Message_Omsg)
| ( v_sko__urX(v_evs_H) = X0 ) ),
inference(superposition,[status(thm)],[c_146,c_278]) ).
tcf(c_312,plain,
! [X0: $i] : c_plus(X0,v_sko__urX(v_evs),tc_nat) = v_sko__urX(v_evs_H),
inference(superposition,[status(thm)],[c_280,c_274]) ).
tcf(c_313,plain,
v_sko__urX(v_evs_H) = v_sko__urX(v_evs),
inference(superposition,[status(thm)],[c_280,c_279]) ).
tcf(c_327,plain,
! [X0: $i] : c_plus(X0,v_sko__urX(v_evs_H),tc_nat) = v_sko__urX(v_evs_H),
inference(light_normalisation,[status(thm)],[c_312,c_313]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( c_plus(X0,v_sko__urX(v_evs_H),tc_nat) != v_sko__urX(v_evs_H) ) ),
inference(superposition,[status(thm)],[c_327,c_58]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] : X0 = X1,
inference(forward_subsumption_resolution,[status(thm)],[c_329,c_327]) ).
tcf(c_334,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 18:58:38 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.72/1.17 % SZS status Started for theBenchmark.p
% 1.72/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.17
% 1.72/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.17
% 1.72/1.17 % ------ iProver source info
% 1.72/1.17
% 1.72/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.17 % git: non_committed_changes: false
% 1.72/1.17
% 1.72/1.17 % ------ Parsing...% successful
% 1.72/1.17
% 1.72/1.17
% 1.72/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/1.17
% 1.72/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.72/1.17
% 1.72/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/1.17
% 1.72/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.72/1.17 % ------ Proving...
% 1.72/1.17 % ------ Problem Properties
% 1.72/1.17
% 1.72/1.17 %
% 1.72/1.17 % clauses 7
% 1.72/1.17 % conjectures 1
% 1.72/1.17 % EPR 0
% 1.72/1.17 % Horn 6
% 1.72/1.17 % unary 5
% 1.72/1.17 % binary 1
% 1.72/1.17 % lits 10
% 1.72/1.17 % lits eq 7
% 1.72/1.17 % fd_pure 0
% 1.72/1.17 % fd_pseudo 0
% 1.72/1.17 % fd_cond 0
% 1.72/1.17 % fd_pseudo_cond 2
% 1.72/1.17 % AC symbols 0
% 1.72/1.17
% 1.72/1.17 % ------ Schedule dynamic 5 is on
% 1.72/1.17
% 1.72/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.72/1.17
% 1.72/1.17
% 1.72/1.17 % ------
% 1.72/1.17 % Current options:
% 1.72/1.17 % ------
% 1.72/1.17
% 1.72/1.17
% 1.72/1.17 %
% 1.72/1.17
% 1.72/1.17 % ------ Proving...
% 1.72/1.17 %
% 1.72/1.17
% 1.72/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.17
% 1.72/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/1.17
% 1.72/1.17
%------------------------------------------------------------------------------