%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV276-2 : 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 : n005.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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 15.83s 3.26s
% Output : CNFRefutation 15.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 72 ( 29 unt; 0 def)
% Number of atoms : 137 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 49 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X0)),X1,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_0) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = c_Message_OinvKey(v_sko__uhi(X1,X0))
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_1) ).
fof(f3,plain,
! [X0,X1] :
( c_Message_OinvKey(v_sko__uhi(X1,X0)) = X0
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f5,axiom,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f6,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f7,axiom,
! [X0,X1] :
( c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
fof(f8,axiom,
! [X0,X1] : c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
fof(f9,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f10,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__subset__Un_0) ).
fof(f12,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f13,axiom,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f18,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f19,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f20,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f21,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_68,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[],[f18]) ).
tcf(c_69,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(cnf_transformation,[],[f19]) ).
tcf(c_70,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[],[f20]) ).
tcf(c_71,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f21]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat) = c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg) = c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
! [X0: $i] : c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_80,plain,
! [X0: $i] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_81,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X0)),X1,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(X1,X0)) = X0 )
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X3,X1,X2)
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_78,c_77]) ).
tcf(c_527,plain,
! [X0: $i] : c_union(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))),
inference(superposition,[status(thm)],[c_80,c_79]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(c_union(X2,X1,tc_Message_Omsg)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
inference(superposition,[status(thm)],[c_75,c_73]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
inference(superposition,[status(thm)],[c_77,c_535]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
inference(superposition,[status(thm)],[c_76,c_86]) ).
tcf(c_738,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)),tc_nat) ),
inference(superposition,[status(thm)],[c_75,c_74]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat)
| c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(X1),X0)),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X1))),tc_nat) ),
inference(superposition,[status(thm)],[c_83,c_82]) ).
tcf(c_853,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
inference(superposition,[status(thm)],[c_77,c_547]) ).
tcf(c_1018,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(superposition,[status(thm)],[c_665,c_70]) ).
tcf(c_1312,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat),
inference(superposition,[status(thm)],[c_853,c_70]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X2)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg))),tc_nat) ),
inference(superposition,[status(thm)],[c_77,c_738]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X1))),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1)))),tc_nat) ),
inference(superposition,[status(thm)],[c_527,c_738]) ).
tcf(c_1881,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(X0),tc_nat)
| ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_68,c_687]) ).
tcf(c_1972,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_190,c_1881]) ).
tcf(c_17669,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_1972,c_1845]) ).
tcf(c_17711,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17669,c_1312]) ).
tcf(c_18589,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X0))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_17711,c_1846]) ).
tcf(c_20781,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(X0)),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(X0),v_K)) = v_K )
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18589,c_85]) ).
tcf(c_30211,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K ) ),
inference(superposition,[status(thm)],[c_69,c_20781]) ).
tcf(c_30212,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30211,c_1018]) ).
tcf(c_30219,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(X0),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K )
| ~ c_lessequals(c_Message_Oanalz(v_H),X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_30212,c_687]) ).
tcf(c_30230,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| ( c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K ) ),
inference(superposition,[status(thm)],[c_81,c_30219]) ).
tcf(c_30231,plain,
c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) = v_K,
inference(forward_subsumption_resolution,[status(thm)],[c_30230,c_1018]) ).
tcf(c_30232,plain,
v_sko__uhi(c_Message_Oanalz(v_H),v_K) = c_Message_OinvKey(v_K),
inference(superposition,[status(thm)],[c_30231,c_84]) ).
tcf(c_30236,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(superposition,[status(thm)],[c_30232,c_805]) ).
tcf(c_30237,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30236,c_71]) ).
tcf(c_30323,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_18589,c_30237]) ).
tcf(c_30324,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(forward_subsumption_resolution,[status(thm)],[c_30323,c_1018,c_69]) ).
tcf(c_30325,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(X0),tc_nat)
| ~ c_lessequals(c_Message_Oanalz(v_H),X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_30324,c_687]) ).
tcf(c_30333,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(superposition,[status(thm)],[c_81,c_30325]) ).
tcf(c_30334,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30333,c_1018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:59:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 15.83/3.26 % SZS status Started for theBenchmark.p
% 15.83/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 15.83/3.26
% 15.83/3.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.83/3.26
% 15.83/3.26 % ------ iProver source info
% 15.83/3.26
% 15.83/3.26 % git: date: 2026-07-19 20:42:38 +0200
% 15.83/3.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.83/3.26 % git: non_committed_changes: false
% 15.83/3.26
% 15.83/3.26 % ------ Parsing...% successful
% 15.83/3.26
% 15.83/3.26
% 15.83/3.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.83/3.26
% 15.83/3.26 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 15.83/3.26
% 15.83/3.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.83/3.26
% 15.83/3.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.83/3.26 % ------ Proving...
% 15.83/3.26 % ------ Problem Properties
% 15.83/3.26
% 15.83/3.26 %
% 15.83/3.26 % clauses 19
% 15.83/3.26 % conjectures 4
% 15.83/3.26 % EPR 0
% 15.83/3.26 % Horn 16
% 15.83/3.26 % unary 10
% 15.83/3.26 % binary 5
% 15.83/3.26 % lits 32
% 15.83/3.26 % lits eq 6
% 15.83/3.26 % fd_pure 0
% 15.83/3.26 % fd_pseudo 0
% 15.83/3.26 % fd_cond 0
% 15.83/3.26 % fd_pseudo_cond 0
% 15.83/3.26 % AC symbols 0
% 15.83/3.26
% 15.83/3.26 % ------ Schedule dynamic 5 is on
% 15.83/3.26
% 15.83/3.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.83/3.26
% 15.83/3.26
% 15.83/3.26 % ------
% 15.83/3.26 % Current options:
% 15.83/3.26 % ------
% 15.83/3.26
% 15.83/3.26
% 15.83/3.26 %
% 15.83/3.26
% 15.83/3.26 % ------ Proving...
% 15.83/3.26 %
% 15.83/3.26
% 15.83/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 15.83/3.26
% 15.83/3.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.83/3.26
% 15.83/3.26
%------------------------------------------------------------------------------