%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV258-2 : 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 : n013.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 1.55s 1.26s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 16 unt; 4 def)
% Number of atoms : 89 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
fof(f6,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
tcf(c_55,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2))
| ~ c_in(X3,X1,X2)
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_101,plain,
! [X0: $i] :
( c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c_55,c_59]) ).
tcf(c_115,plain,
! [X0: $i] :
( c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_145,definition,
iPr_def_10 = c_insert(v_X,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_146,definition,
iPr_def_11 = c_Message_Oparts(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_147,definition,
iPr_def_12 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_148,definition,
iPr_def_13 = tc_set(tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_149,negated_conjecture,
~ c_lessequals(iPr_def_11,iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_56,c_148,c_147,c_145,c_146]) ).
tcf(c_363,plain,
! [X0: $i] : c_lessequals(X0,X0,iPr_def_13),
inference(superposition,[status(thm)],[c_148,c_60]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X0,c_Message_Oparts(X1),iPr_def_13)
| ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_57,c_148]) ).
tcf(c_368,plain,
! [X0: $i] : c_lessequals(X0,c_Message_Oparts(X0),iPr_def_13),
inference(superposition,[status(thm)],[c_363,c_365]) ).
tcf(c_388,plain,
! [X0: $i] :
( c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),iPr_def_12,iPr_def_13)
| ~ c_lessequals(X0,iPr_def_12,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_115,c_147,c_148]) ).
tcf(c_395,plain,
( c_lessequals(iPr_def_10,iPr_def_12,iPr_def_13)
| ~ c_lessequals(v_H,iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_145,c_388]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),iPr_def_13)
| ~ c_lessequals(X0,c_Message_Oparts(X1),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_58,c_148]) ).
tcf(c_407,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),iPr_def_12,iPr_def_13)
| ~ c_lessequals(X0,c_Message_Oparts(v_H),iPr_def_13) ),
inference(superposition,[status(thm)],[c_147,c_398]) ).
tcf(c_413,plain,
! [X0: $i] :
( c_lessequals(c_Message_Oparts(X0),iPr_def_12,iPr_def_13)
| ~ c_lessequals(X0,iPr_def_12,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_407,c_147]) ).
tcf(c_424,plain,
c_lessequals(v_H,iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_147,c_368]) ).
tcf(c_452,plain,
c_lessequals(iPr_def_10,iPr_def_12,iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_395,c_395,c_424]) ).
tcf(c_518,plain,
( c_lessequals(iPr_def_11,iPr_def_12,iPr_def_13)
| ~ c_lessequals(iPr_def_10,iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_146,c_413]) ).
tcf(c_520,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_518,c_149,c_452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV258-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 18:54:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.55/1.26 % SZS status Started for theBenchmark.p
% 1.55/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.26
% 1.55/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.55/1.26
% 1.55/1.26 % ------ iProver source info
% 1.55/1.26
% 1.55/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.55/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.55/1.26 % git: non_committed_changes: false
% 1.55/1.26
% 1.55/1.26 % ------ Parsing...% successful
% 1.55/1.26
% 1.55/1.26
% 1.55/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.55/1.26
% 1.55/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.55/1.26
% 1.55/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.55/1.26
% 1.55/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.55/1.26 % ------ Proving...
% 1.55/1.26 % ------ Problem Properties
% 1.55/1.26
% 1.55/1.26 %
% 1.55/1.26 % clauses 9
% 1.55/1.26 % conjectures 1
% 1.55/1.26 % EPR 1
% 1.55/1.26 % Horn 9
% 1.55/1.26 % unary 6
% 1.55/1.26 % binary 3
% 1.55/1.26 % lits 12
% 1.55/1.26 % lits eq 4
% 1.55/1.26 % fd_pure 0
% 1.55/1.26 % fd_pseudo 0
% 1.55/1.26 % fd_cond 0
% 1.55/1.26 % fd_pseudo_cond 0
% 1.55/1.26 % AC symbols 0
% 1.55/1.26
% 1.55/1.26 % ------ Schedule dynamic 5 is on
% 1.55/1.26
% 1.55/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.55/1.26
% 1.55/1.26
% 1.55/1.26 % ------
% 1.55/1.26 % Current options:
% 1.55/1.26 % ------
% 1.55/1.26
% 1.55/1.26
% 1.55/1.26 %
% 1.55/1.26
% 1.55/1.26 % ------ Proving...
% 1.55/1.26 %
% 1.55/1.26
% 1.55/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/1.26
% 1.55/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/1.26
% 1.55/1.26
%------------------------------------------------------------------------------