%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 03:24:05 PM UTC 2026
% Result : Unsatisfiable 14.55s 2.81s
% Output : CNFRefutation 14.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f218,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f286,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
fof(f461,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f519,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f520,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f521,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
inference(cnf_transformation,[],[f218]) ).
tcf(c_783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f461]) ).
tcf(c_991,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f519]) ).
tcf(c_992,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f520]) ).
tcf(c_993,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f521]) ).
tcf(c_1315,plain,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_991,c_942]) ).
tcf(c_2700,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),X0,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_992,c_783]) ).
tcf(c_23066,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_2700,c_720]) ).
tcf(c_23111,plain,
~ c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_23066,c_993]) ).
tcf(c_23119,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1315,c_23111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % 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 21:03:25 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 14.55/2.81 % SZS status Started for theBenchmark.p
% 14.55/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 14.55/2.81
% 14.55/2.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.55/2.81
% 14.55/2.81 % ------ iProver source info
% 14.55/2.81
% 14.55/2.81 % git: date: 2026-07-19 20:42:38 +0200
% 14.55/2.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.55/2.81 % git: non_committed_changes: false
% 14.55/2.81
% 14.55/2.81 % ------ Parsing...% successful
% 14.55/2.81
% 14.55/2.81
% 14.55/2.81 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.55/2.81 % ------ Proving...
% 14.55/2.81 % ------ Problem Properties
% 14.55/2.81
% 14.55/2.81 %
% 14.55/2.81 % clauses 483
% 14.55/2.81 % conjectures 7
% 14.55/2.81 % EPR 26
% 14.55/2.81 % Horn 450
% 14.55/2.81 % unary 205
% 14.55/2.81 % binary 176
% 14.55/2.81 % lits 881
% 14.55/2.81 % lits eq 246
% 14.55/2.81 % fd_pure 0
% 14.55/2.81 % fd_pseudo 0
% 14.55/2.81 % fd_cond 1
% 14.55/2.81 % fd_pseudo_cond 48
% 14.55/2.81 % AC symbols 0
% 14.55/2.81
% 14.55/2.81 % ------ Input Options Time Limit: Unbounded
% 14.55/2.81
% 14.55/2.81
% 14.55/2.81 % ------
% 14.55/2.81 % Current options:
% 14.55/2.81 % ------
% 14.55/2.81
% 14.55/2.81
% 14.55/2.81 %
% 14.55/2.81
% 14.55/2.81 % ------ Proving...
% 14.55/2.81 %
% 14.55/2.81
% 14.55/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 14.55/2.81
% 14.55/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.55/2.81
% 14.55/2.81
%------------------------------------------------------------------------------