%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV010-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 01:39:56 PM UTC 2026
% Result : Unsatisfiable 1.18s 1.28s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 14 unt; 2 def)
% Number of atoms : 32 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
fof(f11,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_9) ).
fof(f152,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f155,plain,
n0 != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f153,f5]) ).
tcf(c_190,plain,
! [X0: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_316,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0,
inference(cnf_transformation,[],[f155]) ).
tcf(c_317,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_3650,definition,
iPr_def_10 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3651,definition,
iPr_def_11 = fwork_DOTfifo_DOTrtl_DOTempty_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3652,negated_conjecture,
iPr_def_10 != n0,
inference(demodulation,[status(thm)],[c_316,c_3650]) ).
tcf(c_3653,negated_conjecture,
p__pred_(iPr_def_11),
inference(demodulation,[status(thm)],[c_317,c_3651]) ).
tcf(c_6110,plain,
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 )
| ~ p__pred_(iPr_def_11) ),
inference(superposition,[status(thm)],[c_3651,c_190]) ).
tcf(c_6111,plain,
( ( n0 = iPr_def_10 )
| ~ p__pred_(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_6110,c_3650]) ).
tcf(c_6112,plain,
n0 = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_6111,c_3653]) ).
tcf(c_6124,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_3652,c_6112]) ).
tcf(c_6125,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_6124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV010-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 16:22:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.18/1.28 % SZS status Started for theBenchmark.p
% 1.18/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.18/1.28
% 1.18/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.18/1.28
% 1.18/1.28 % ------ iProver source info
% 1.18/1.28
% 1.18/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.18/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.18/1.28 % git: non_committed_changes: false
% 1.18/1.28
% 1.18/1.28 % ------ Parsing...% successful
% 1.18/1.28
% 1.18/1.28
% 1.18/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.18/1.28
% 1.18/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.18/1.28
% 1.18/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.18/1.28
% 1.18/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.18/1.28 % ------ Proving...
% 1.18/1.28 % ------ Problem Properties
% 1.18/1.28
% 1.18/1.28 %
% 1.18/1.28 % clauses 123
% 1.18/1.28 % conjectures 2
% 1.18/1.28 % EPR 11
% 1.18/1.28 % Horn 75
% 1.18/1.28 % unary 30
% 1.18/1.28 % binary 40
% 1.18/1.28 % lits 319
% 1.18/1.28 % lits eq 67
% 1.18/1.28 % fd_pure 0
% 1.18/1.28 % fd_pseudo 0
% 1.18/1.28 % fd_cond 1
% 1.18/1.28 % fd_pseudo_cond 6
% 1.18/1.28 % AC symbols 0
% 1.18/1.28
% 1.18/1.28 % ------ Schedule dynamic 5 is on
% 1.18/1.28
% 1.18/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.18/1.28
% 1.18/1.28
% 1.18/1.28 % ------
% 1.18/1.28 % Current options:
% 1.18/1.28 % ------
% 1.18/1.28
% 1.18/1.28
% 1.18/1.28 %
% 1.18/1.28
% 1.18/1.28 % ------ Proving...
% 1.18/1.28 %
% 1.18/1.28
% 1.18/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.18/1.28
% 1.18/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.18/1.28
% 1.18/1.28
%------------------------------------------------------------------------------