%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV331-1 : 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 03:17:19 PM UTC 2026
% Result : Unsatisfiable 10.57s 2.28s
% Output : CNFRefutation 10.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3578,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_Onew__keys__not__used_0) ).
fof(f3581,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-6.ax',cls_Public_OCrypt__imp__keysFor_0) ).
fof(f3591,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3592,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3593,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3596,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_5372,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(cnf_transformation,[],[f3578]) ).
tcf(c_5375,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3581]) ).
tcf(c_5381,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f3591]) ).
tcf(c_5382,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnf_transformation,[],[f3592]) ).
tcf(c_5383,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[],[f3593]) ).
tcf(c_5386,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3596]) ).
tcf(c_6146,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(superposition,[status(thm)],[c_5386,c_5375]) ).
tcf(c_8899,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(global_subsumption_just,[status(thm)],[c_6146,c_5383,c_6146]) ).
tcf(c_8901,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[status(thm)],[c_8899,c_5372]) ).
tcf(c_8902,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8901,c_5382,c_5381,c_5383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n007.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 19:13:07 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 10.57/2.28 % SZS status Started for theBenchmark.p
% 10.57/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.57/2.28
% 10.57/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.57/2.28
% 10.57/2.28 % ------ iProver source info
% 10.57/2.28
% 10.57/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 10.57/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.57/2.28 % git: non_committed_changes: false
% 10.57/2.28
% 10.57/2.28 % ------ Parsing...% successful
% 10.57/2.28
% 10.57/2.28
% 10.57/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.57/2.28 % ------ Proving...
% 10.57/2.28 % ------ Problem Properties
% 10.57/2.28
% 10.57/2.28 %
% 10.57/2.28 % clauses 2372
% 10.57/2.28 % conjectures 9
% 10.57/2.28 % EPR 674
% 10.57/2.28 % Horn 2164
% 10.57/2.28 % unary 737
% 10.57/2.28 % binary 1156
% 10.57/2.28 % lits 4722
% 10.57/2.28 % lits eq 1325
% 10.57/2.28 % fd_pure 0
% 10.57/2.28 % fd_pseudo 0
% 10.57/2.28 % fd_cond 119
% 10.57/2.28 % fd_pseudo_cond 97
% 10.57/2.28 % AC symbols 0
% 10.57/2.28
% 10.57/2.28 % ------ Input Options Time Limit: Unbounded
% 10.57/2.28
% 10.57/2.28
% 10.57/2.28 % ------
% 10.57/2.28 % Current options:
% 10.57/2.28 % ------
% 10.57/2.28
% 10.57/2.28
% 10.57/2.28 %
% 10.57/2.28
% 10.57/2.28 % ------ Proving...
% 10.57/2.28 %
% 10.57/2.28
% 10.57/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 10.57/2.28
% 10.57/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.57/2.28
% 10.57/2.28
%------------------------------------------------------------------------------