%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Thu Sep 24 02:59:49 PM UTC 2026
% Result : Unsatisfiable 67.16s 10.92s
% Output : CNFRefutation 67.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of clauses : 95 ( 52 unt; 4 nHn; 53 RR)
% Number of literals : 152 ( 33 equ; 58 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 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 : 160 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_parts__subset__iff_0,axiom,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_parts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_Un__absorb1_0,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_analz__synth_0,axiom,
c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_synth__increasing_0,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_predicate1D_0,axiom,
( ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_synth__mono_0,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__mono_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_insert__absorb_0,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_equalityI_0,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_parts__Un_0,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__Un_0) ).
cnf(cls_synth__idem_0,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
cnf(cls_mem__def_0,axiom,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_keysFor__parts__insert_0,axiom,
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),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_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_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_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__increasing_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_conjecture_6,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| 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_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_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_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_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_usedI_0,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_invKey__K_0,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
cnf(c_0_28,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_parts__subset__iff_0]) ).
cnf(c_0_29,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0 ).
cnf(c_0_30,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__synth_0 ).
cnf(c_0_31,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
inference(fof_simplification,[status(thm)],[cls_Un__absorb1_0]) ).
cnf(c_0_32,axiom,
c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__synth_0 ).
cnf(c_0_33,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_34,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_28 ).
cnf(c_0_35,plain,
c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
c_0_31 ).
cnf(c_0_37,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X1))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_synth__increasing_0 ).
cnf(c_0_39,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_40,plain,
( ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_predicate1D_0]) ).
cnf(c_0_41,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[cls_synth__mono_0]) ).
cnf(c_0_42,plain,
c_lessequals(X1,c_Message_Oparts(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_44,plain,
c_Message_Oanalz(c_Message_Osynth(c_Message_Oparts(X1))) = c_Message_Osynth(c_Message_Oparts(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_45,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_39 ).
cnf(c_0_46,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_47,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_48,plain,
( ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2))
| hBOOL(hAPP(X1,X2)) ),
c_0_40 ).
cnf(c_0_49,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_41 ).
cnf(c_0_50,plain,
c_lessequals(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_51,plain,
c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))) = c_Message_Osynth(c_Message_Oparts(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_37]),c_0_44]) ).
cnf(c_0_52,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
c_0_47 ).
cnf(c_0_54,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[cls_equalityI_0]) ).
cnf(c_0_55,axiom,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__Un_0 ).
cnf(c_0_56,plain,
( ~ hBOOL(hAPP(c_Message_Osynth(X3),X2))
| ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
| hBOOL(hAPP(c_Message_Osynth(X1),X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
c_lessequals(X1,c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
cls_synth__idem_0 ).
cnf(c_0_59,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_60,plain,
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),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_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_keysFor__parts__insert_0]) ).
cnf(c_0_61,plain,
( ~ c_in(X1,X2,X4)
| c_in(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,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_63,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X1 = X2 ),
c_0_54 ).
cnf(c_0_64,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0 ).
cnf(c_0_65,plain,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_55]) ).
cnf(c_0_66,plain,
( ~ hBOOL(hAPP(c_Message_Osynth(X1),X2))
| hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(X1)),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_67,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
c_0_59 ).
cnf(c_0_68,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_69,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).
cnf(c_0_70,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_71,plain,
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),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_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_60 ).
cnf(c_0_72,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_61,c_0_62]) ).
cnf(c_0_73,plain,
( ~ c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oparts(X1) = X1 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_43]) ).
cnf(c_0_75,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_76,plain,
( ~ hBOOL(hAPP(c_Message_Osynth(X2),X1))
| c_in(X1,c_Message_Osynth(c_Message_Oparts(X2)),X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_66]) ).
cnf(c_0_77,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_67,c_0_68]) ).
cnf(c_0_78,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0 ).
cnf(c_0_79,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
c_0_69 ).
cnf(c_0_80,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
c_0_70 ).
cnf(c_0_81,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
cls_conjecture_0 ).
cnf(c_0_82,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_usedI_0]) ).
cnf(c_0_83,negated_conjecture,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(X1),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),X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_84,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_85,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_86,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_79,c_0_80]) ).
cnf(c_0_87,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
inference(fof_simplification,[status(thm)],[cls_invKey__K_0]) ).
cnf(c_0_88,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(spm,[status(thm)],[c_0_67,c_0_81]) ).
cnf(c_0_89,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_82 ).
cnf(c_0_90,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_83,c_0_84]),c_0_43]),c_0_43]),c_0_33]),c_0_85])]),c_0_86]) ).
cnf(c_0_91,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
c_0_87 ).
cnf(c_0_92,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,X1),
inference(spm,[status(thm)],[c_0_45,c_0_88]) ).
cnf(c_0_93,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(spm,[status(thm)],[c_0_80,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.91 % Computer : n010.cluster.edu
% 0.19/0.91 % Model : x86_64 x86_64
% 0.19/0.91 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.91 % Memory : 8046.5625MB
% 0.19/0.91 % OS : Linux 6.8.0-71-generic
% 0.19/0.91 % CPULimit : 300
% 0.19/0.91 % WCLimit : 300
% 0.19/0.91 % DateTime : Mon Sep 21 09:22:27 UTC 2026
% 0.19/0.92 % CPUTime :
% 0.19/0.92 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.98 Running first-order theorem proving
% 0.19/0.98 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.16/10.92 % Version: 3.5.1
% 67.16/10.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 67.16/10.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.16/10.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 67.16/10.92 % Starting new_bool_3 with 300s (1) cores
% 67.16/10.92 % Starting new_bool_1 with 300s (1) cores
% 67.16/10.92 % Starting sh5l with 300s (1) cores
% 67.16/10.92 % new_bool_1 with pid 563538 completed with status 0
% 67.16/10.92 % Result found by new_bool_1
% 67.16/10.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 67.16/10.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.16/10.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 67.16/10.92 % Starting new_bool_3 with 300s (1) cores
% 67.16/10.92 % Starting new_bool_1 with 300s (1) cores
% 67.16/10.92 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 67.16/10.92 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 67.16/10.92 % Search class: FGHSM-FSLM31-DFFFFFNN
% 67.16/10.92 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 67.16/10.92 % Starting SubtermCWHack with 28s (1) cores
% 67.16/10.92 % SubtermCWHack with pid 563546 completed with status 0
% 67.16/10.92 % Result found by SubtermCWHack
% 67.16/10.92 % Preprocessing class: FSLSSMSMSSSNFFN.
% 67.16/10.92 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 67.16/10.92 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 67.16/10.92 % Starting new_bool_3 with 300s (1) cores
% 67.16/10.92 % Starting new_bool_1 with 300s (1) cores
% 67.16/10.92 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 67.16/10.92 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 67.16/10.92 % Search class: FGHSM-FSLM31-DFFFFFNN
% 67.16/10.92 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 67.16/10.92 % Starting SubtermCWHack with 28s (1) cores
% 67.16/10.92 % Preprocessing time : 0.005 s
% 67.16/10.92
% 67.16/10.92 % Proof found!
% 67.16/10.92 % SZS status Unsatisfiable
% 67.16/10.92 % SZS output start CNFRefutation
% See solution above
% 67.16/10.93 % Parsed axioms : 493
% 67.16/10.93 % Removed by relevancy pruning/SinE : 80
% 67.16/10.93 % Initial clauses : 413
% 67.16/10.93 % Removed in clause preprocessing : 0
% 67.16/10.93 % Initial clauses in saturation : 413
% 67.16/10.93 % Processed clauses : 40493
% 67.16/10.93 % ...of these trivial : 26949
% 67.16/10.93 % ...subsumed : 5947
% 67.16/10.93 % ...remaining for further processing : 7597
% 67.16/10.93 % Other redundant clauses eliminated : 108
% 67.16/10.93 % Clauses deleted for lack of memory : 0
% 67.16/10.93 % Backward-subsumed : 191
% 67.16/10.93 % Backward-rewritten : 292
% 67.16/10.93 % Generated clauses : 629018
% 67.16/10.93 % ...of the previous two non-redundant : 502666
% 67.16/10.93 % ...aggressively subsumed : 0
% 67.16/10.93 % Contextual simplify-reflections : 1
% 67.16/10.93 % Paramodulations : 628873
% 67.16/10.93 % Factorizations : 1
% 67.16/10.93 % NegExts : 0
% 67.16/10.93 % Equation resolutions : 144
% 67.16/10.93 % Disequality decompositions : 0
% 67.16/10.93 % Total rewrite steps : 506382
% 67.16/10.93 % ...of those cached : 438766
% 67.16/10.93 % Propositional unsat checks : 0
% 67.16/10.93 % Propositional check models : 0
% 67.16/10.93 % Propositional check unsatisfiable : 0
% 67.16/10.93 % Propositional clauses : 0
% 67.16/10.93 % Propositional clauses after purity: 0
% 67.16/10.93 % Propositional unsat core size : 0
% 67.16/10.93 % Propositional preprocessing time : 0.000
% 67.16/10.93 % Propositional encoding time : 0.000
% 67.16/10.93 % Propositional solver time : 0.000
% 67.16/10.93 % Success case prop preproc time : 0.000
% 67.16/10.93 % Success case prop encoding time : 0.000
% 67.16/10.93 % Success case prop solver time : 0.000
% 67.16/10.93 % Current number of processed clauses : 7114
% 67.16/10.93 % Positive orientable unit clauses : 5151
% 67.16/10.93 % Positive unorientable unit clauses: 27
% 67.16/10.93 % Negative unit clauses : 174
% 67.16/10.93 % Non-unit-clauses : 1762
% 67.16/10.93 % Current number of unprocessed clauses: 458321
% 67.16/10.93 % ...number of literals in the above : 840988
% 67.16/10.93 % Current number of archived formulas : 0
% 67.16/10.93 % Current number of archived clauses : 483
% 67.16/10.93 % Clause-clause subsumption calls (NU) : 495442
% 67.16/10.93 % Rec. Clause-clause subsumption calls : 432059
% 67.16/10.93 % Non-unit clause-clause subsumptions : 3836
% 67.16/10.93 % Unit Clause-clause subsumption calls : 116982
% 67.16/10.93 % Rewrite failures with RHS unbound : 100
% 67.16/10.93 % BW rewrite match attempts : 251417
% 67.16/10.93 % BW rewrite match successes : 369
% 67.16/10.93 % Condensation attempts : 0
% 67.16/10.93 % Condensation successes : 0
% 67.16/10.93 % Termbank termtop insertions : 12141758
% 67.16/10.93 % Search garbage collected termcells : 921
% 67.16/10.93
% 67.16/10.93 % -------------------------------------------------
% 67.16/10.93 % User time : 9.070 s
% 67.16/10.93 % System time : 0.386 s
% 67.16/10.93 % Total time : 9.456 s
% 67.16/10.93 % Maximum resident set size: 4496 pages
% 67.16/10.93
% 67.16/10.93 % -------------------------------------------------
% 67.16/10.93 % User time : 9.096 s
% 67.16/10.93 % System time : 0.391 s
% 67.16/10.93 % Total time : 9.487 s
% 67.16/10.93 % Maximum resident set size: 4864 pages
% 67.16/10.93 % E exiting
%------------------------------------------------------------------------------