%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 03:24:04 PM UTC 2026
% Result : Unsatisfiable 94.22s 14.41s
% Output : CNFRefutation 94.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 73 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 24 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 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 : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f288,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f339,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f427,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
fof(f452,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
fof(f463,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f464,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(X1) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f463]) ).
fof(f469,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
fof(f495,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
fof(f512,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f521,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f523,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f525,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f526,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f527,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_790,plain,
! [X0: $i] :
( ( c_Message_OinvKey(X0) = X0 )
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
inference(cnf_transformation,[],[f339]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg))),tc_nat) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_940,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_950,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f495]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_996,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[],[f521]) ).
tcf(c_998,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[],[f523]) ).
tcf(c_1000,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(cnf_transformation,[],[f525]) ).
tcf(c_1001,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[],[f526]) ).
tcf(c_1002,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(cnf_transformation,[],[f527]) ).
tcf(c_5347,plain,
c_Message_OinvKey(v_K) = v_K,
inference(superposition,[status(thm)],[c_996,c_790]) ).
tcf(c_8989,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1001,c_918]) ).
tcf(c_8994,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_8989,c_5347]) ).
tcf(c_20063,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))) )
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_8994,c_989]) ).
tcf(c_25350,plain,
! [X0: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg)) = c_Message_Oparts(X0) )
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_fun(tc_Message_Omsg,tc_bool)))) )
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_20063,c_950]) ).
tcf(c_38195,plain,
( ( c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)) )
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))) ) ),
inference(superposition,[status(thm)],[c_998,c_25350]) ).
tcf(c_38207,plain,
( ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) )
| ( c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)) ) ),
inference(demodulation,[status(thm)],[c_38195,c_835]) ).
tcf(c_39207,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) )
| ~ c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_38207,c_940]) ).
tcf(c_58368,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) ) ),
inference(superposition,[status(thm)],[c_975,c_39207]) ).
tcf(c_58376,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ( c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))) ) ),
inference(superposition,[status(thm)],[c_58368,c_955]) ).
tcf(c_58377,plain,
c_Set_Oinsert(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) = c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),
inference(global_subsumption_just,[status(thm)],[c_58376,c_1000,c_58376]) ).
tcf(c_59284,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(superposition,[status(thm)],[c_58377,c_975]) ).
tcf(c_59290,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_59284,c_1002,c_1000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n009.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 21:00:14 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 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
% 0.17/0.49
% 0.17/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.49
% 0.17/0.49 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 94.22/14.41 % SZS status Started for theBenchmark.p
% 94.22/14.41 % SZS status Unsatisfiable for theBenchmark.p
% 94.22/14.41
% 94.22/14.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 94.22/14.41
% 94.22/14.41 % ------ iProver source info
% 94.22/14.41
% 94.22/14.41 % git: date: 2026-07-19 20:42:38 +0200
% 94.22/14.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 94.22/14.41 % git: non_committed_changes: false
% 94.22/14.41
% 94.22/14.41 % ------ Parsing...% successful
% 94.22/14.41
% 94.22/14.41
% 94.22/14.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 94.22/14.41
% 94.22/14.41 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 2 0s sf_e %
% 94.22/14.41
% 94.22/14.41 % ------ Preprocessing...%
% 94.22/14.41
% 94.22/14.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 94.22/14.41 % ------ Proving...
% 94.22/14.41 % ------ Problem Properties
% 94.22/14.41
% 94.22/14.41 %
% 94.22/14.41 % clauses 426
% 94.22/14.41 % conjectures 7
% 94.22/14.41 % EPR 25
% 94.22/14.41 % Horn 392
% 94.22/14.41 % unary 180
% 94.22/14.41 % binary 165
% 94.22/14.41 % lits 765
% 94.22/14.41 % lits eq 228
% 94.22/14.41 % fd_pure 0
% 94.22/14.41 % fd_pseudo 0
% 94.22/14.41 % fd_cond 1
% 94.22/14.41 % fd_pseudo_cond 44
% 94.22/14.41 % AC symbols 0
% 94.22/14.41
% 94.22/14.41 % ------ Input Options Time Limit: Unbounded
% 94.22/14.41
% 94.22/14.41
% 94.22/14.41 % ------
% 94.22/14.41 % Current options:
% 94.22/14.41 % ------
% 94.22/14.41
% 94.22/14.41
% 94.22/14.41 %
% 94.22/14.41
% 94.22/14.41 % ------ Proving...
% 94.22/14.41 %
% 94.22/14.41
% 94.22/14.41 % SZS status Unsatisfiable for theBenchmark.p
% 94.22/14.41
% 94.22/14.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 94.22/14.41
%------------------------------------------------------------------------------