%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV277-2 : 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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 0.43s 6.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 4 def)
% Number of atoms : 55 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 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(f1,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(f2,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(f3,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/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4,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(f5,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_54,plain,
! [X0: $i] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,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,[],[f2]) ).
tcf(c_56,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,[],[f3]) ).
tcf(c_57,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,definition,
iPr_def_10 = c_Message_Oanalz(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_78,definition,
iPr_def_11 = c_Message_OkeysFor(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_79,definition,
iPr_def_12 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_80,definition,
iPr_def_13 = c_Message_OkeysFor(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_81,negated_conjecture,
c_in(v_K,iPr_def_11,tc_nat),
inference(demodulation,[status(thm)],[c_58,c_77,c_78]) ).
tcf(c_82,negated_conjecture,
~ c_in(v_K,iPr_def_13,tc_nat),
inference(demodulation,[status(thm)],[c_57,c_79,c_80]) ).
tcf(c_237,plain,
c_lessequals(c_Message_Oanalz(v_H),iPr_def_12,tc_set(tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_79,c_54]) ).
tcf(c_238,plain,
c_lessequals(iPr_def_10,iPr_def_12,tc_set(tc_Message_Omsg)),
inference(light_normalisation,[status(thm)],[c_237,c_77]) ).
tcf(c_242,plain,
! [X0: $i] :
( c_lessequals(iPr_def_11,c_Message_OkeysFor(X0),tc_set(tc_nat))
| ~ c_lessequals(iPr_def_10,X0,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_291,plain,
( c_lessequals(iPr_def_11,iPr_def_13,tc_set(tc_nat))
| ~ c_lessequals(iPr_def_10,iPr_def_12,tc_set(tc_Message_Omsg)) ),
inference(superposition,[status(thm)],[c_80,c_242]) ).
tcf(c_293,plain,
c_lessequals(iPr_def_11,iPr_def_13,tc_set(tc_nat)),
inference(forward_subsumption_resolution,[status(thm)],[c_291,c_238]) ).
tcf(c_300,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_nat)
| ~ c_in(X0,iPr_def_11,tc_nat) ),
inference(superposition,[status(thm)],[c_293,c_56]) ).
tcf(c_308,plain,
c_in(v_K,iPr_def_13,tc_nat),
inference(superposition,[status(thm)],[c_81,c_300]) ).
tcf(c_309,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_308,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n015.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Thu Sep 24 19:03:32 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.43
% 0.16/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.43
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 0.43/6.29 % SZS status Started for theBenchmark.p
% 0.43/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.29
% 0.43/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/6.29
% 0.43/6.29 % ------ iProver source info
% 0.43/6.29
% 0.43/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/6.29 % git: non_committed_changes: false
% 0.43/6.29
% 0.43/6.29 % ------ Parsing...% successful
% 0.43/6.29
% 0.43/6.29
% 0.43/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/6.29
% 0.43/6.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.43/6.29
% 0.43/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.43/6.29
% 0.43/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/6.29 % ------ Proving...
% 0.43/6.29 % ------ Problem Properties
% 0.43/6.29
% 0.43/6.29 %
% 0.43/6.29 % clauses 9
% 0.43/6.29 % conjectures 2
% 0.43/6.29 % EPR 2
% 0.43/6.29 % Horn 9
% 0.43/6.29 % unary 7
% 0.43/6.29 % binary 1
% 0.43/6.29 % lits 12
% 0.43/6.29 % lits eq 4
% 0.43/6.29 % fd_pure 0
% 0.43/6.29 % fd_pseudo 0
% 0.43/6.29 % fd_cond 0
% 0.43/6.29 % fd_pseudo_cond 0
% 0.43/6.29 % AC symbols 0
% 0.43/6.29
% 0.43/6.29 % ------ Schedule dynamic 5 is on
% 0.43/6.29
% 0.43/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/6.29
% 0.43/6.29
% 0.43/6.29 % ------
% 0.43/6.29 % Current options:
% 0.43/6.29 % ------
% 0.43/6.29
% 0.43/6.29
% 0.43/6.29 %
% 0.43/6.29
% 0.43/6.29 % ------ Proving...
% 0.43/6.29 %
% 0.43/6.29
% 0.43/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.29
% 0.43/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/6.29
% 0.43/6.29
%------------------------------------------------------------------------------