%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 9.14s 2.88s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f126,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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
fof(f3511,axiom,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f3512,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
fof(f3517,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3518,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_2950,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(cnf_transformation,[],[f3517]) ).
tcf(c_2951,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(cnf_transformation,[],[f3518]) ).
tcf(c_2968,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f3511]) ).
tcf(c_3023,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,[],[f3512]) ).
tcf(c_3035,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,[],[f126]) ).
tcf(c_38194,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| ~ c_in(v_K,X0,tc_nat)
| ~ c_lessequals(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)) ),
inference(instantiation,[status(thm)],[c_3035]) ).
tcf(c_42056,plain,
! [X0: $i] :
( c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(X0),tc_set(tc_nat))
| ~ c_lessequals(c_Message_Oanalz(v_H),X0,tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_3023]) ).
tcf(c_42956,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_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)) ),
inference(instantiation,[status(thm)],[c_38194]) ).
tcf(c_55519,plain,
( c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat))
| ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_42056]) ).
tcf(c_55520,plain,
c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(instantiation,[status(thm)],[c_2968]) ).
tcf(c_55521,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55520,c_55519,c_42956,c_2950,c_2951]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV277-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Thu Sep 24 19:03:12 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.45
% 0.10/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.45
% 0.10/0.45 % Detected problem language: tptp
% 0.10/0.47 % Proving...
% 9.14/2.88 % SZS status Started for theBenchmark.p
% 9.14/2.88 % SZS status Unsatisfiable for theBenchmark.p
% 9.14/2.88
% 9.14/2.88 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.14/2.88
% 9.14/2.88 % ------ iProver source info
% 9.14/2.88
% 9.14/2.88 % git: date: 2026-07-19 20:42:38 +0200
% 9.14/2.88 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.14/2.88 % git: non_committed_changes: false
% 9.14/2.88
% 9.14/2.88 % ------ Parsing...% successful
% 9.14/2.88
% 9.14/2.88
% 9.14/2.88 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.14/2.88
% 9.14/2.88 % ------ Preprocessing... sup_sim: 38 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 12 sf_s rm: 7 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e %
% 9.14/2.88
% 9.14/2.88 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.14/2.88
% 9.14/2.88 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.14/2.88 % ------ Proving...
% 9.14/2.88 % ------ Problem Properties
% 9.14/2.88
% 9.14/2.88 %
% 9.14/2.88 % clauses 517
% 9.14/2.88 % conjectures 5
% 9.14/2.88 % EPR 22
% 9.14/2.88 % Horn 455
% 9.14/2.88 % unary 201
% 9.14/2.88 % binary 226
% 9.14/2.88 % lits 926
% 9.14/2.88 % lits eq 358
% 9.14/2.88 % fd_pure 0
% 9.14/2.88 % fd_pseudo 0
% 9.14/2.88 % fd_cond 28
% 9.14/2.88 % fd_pseudo_cond 33
% 9.14/2.88 % AC symbols 0
% 9.14/2.88
% 9.14/2.88 % ------ Schedule dynamic 5 is on
% 9.14/2.88
% 9.14/2.88 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.14/2.88
% 9.14/2.88
% 9.14/2.88 % ------
% 9.14/2.88 % Current options:
% 9.14/2.88 % ------
% 9.14/2.88
% 9.14/2.88
% 9.14/2.88 %
% 9.14/2.88
% 9.14/2.88 % ------ Proving...
% 9.14/2.88 %
% 9.14/2.88
% 9.14/2.88 % SZS status Unsatisfiable for theBenchmark.p
% 9.14/2.88
% 9.14/2.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.14/2.88
% 9.14/2.88
%------------------------------------------------------------------------------