%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV727-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:16 PM UTC 2026
% Result : Unsatisfiable 42.73s 25.35s
% Output : CNFRefutation 42.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 46 ( 30 unt; 3 nHn; 28 RR)
% Number of literals : 69 ( 16 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 58 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_5,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) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_invKey__K_0,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_analz__analz__Un_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_conjecture_2,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) ).
cnf(cls_keysFor__parts__insert_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_conjecture_6,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) ).
cnf(cls_conjecture_4,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) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_usedI_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(c_0_17,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0 ).
cnf(c_0_18,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),
cls_conjecture_5 ).
cnf(c_0_19,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1 ).
cnf(c_0_20,negated_conjecture,
hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),v_K)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_invKey__K_0 ).
cnf(c_0_22,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_0 ).
cnf(c_0_23,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0 ).
cnf(c_0_24,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0 ).
cnf(c_0_25,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
cls_analz__analz__Un_0 ).
cnf(c_0_26,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0 ).
cnf(c_0_27,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0 ).
cnf(c_0_28,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_29,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
cls_keysFor__parts__insert_0 ).
cnf(c_0_30,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))),X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
c_Message_OinvKey(v_K) = v_K,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,plain,
( c_Message_Oanalz(X1) = X1
| ~ c_lessequals(c_Message_Oanalz(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_34,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0 ).
cnf(c_0_35,negated_conjecture,
hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_X)),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_36,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) ),
cls_conjecture_6 ).
cnf(c_0_37,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
cls_conjecture_4 ).
cnf(c_0_38,negated_conjecture,
( 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),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_40,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_41,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1),
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(sr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_usedI_0 ).
cnf(c_0_44,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_40]),c_0_27]),c_0_41])]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV727-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n014.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 05:53:51 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 42.73/25.35 % Version : CSE_E---1.7
% 42.73/25.35 % Problem : theBenchmark.p
% 42.73/25.35 % SZS status Unsatisfiable for theBenchmark.p
% 42.73/25.35 % SZS output start CNFRefutation
% See solution above
% 42.93/25.53 % Total time : 18.476s
%------------------------------------------------------------------------------