%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV023-2 : 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 : 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 01:40:00 PM UTC 2026
% Result : Unsatisfiable 4.06s 1.30s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 52 ( 39 unt; 6 def)
% Number of atoms : 115 ( 32 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 25 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?; 12 :)
% 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(f10,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_8) ).
fof(f52,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_43) ).
fof(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
fof(f75,axiom,
! [X2,X0,X1] :
( f_SUB_(X1,X0) = X2
| f_ADD_(X2,X0) != X1
| def_89(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_63) ).
fof(f76,axiom,
! [X0,X1] :
( ~ def_89(X1,X0)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_64) ).
fof(f91,axiom,
! [X0] : f_ADD_(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
fof(f152,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f155,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f158,plain,
n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f160,plain,
! [X2,X0] :
( f_SUB_(f_ADD_(X2,X0),X0) = X2
| def_89(X0,f_ADD_(X2,X0)) ),
inference(equality_resolution,[],[f75]) ).
fof(f161,plain,
! [X1] : ~ def_89(X1,X1),
inference(equality_resolution,[],[f76]) ).
tcf(c_192,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_227,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_244,plain,
! [X0: $i] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[],[f72]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] :
( def_89(X1,f_ADD_(X0,X1))
| ( f_SUB_(f_ADD_(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_248,plain,
! [X0: $i] : ~ def_89(X0,X0),
inference(cnf_transformation,[],[f161]) ).
tcf(c_261,plain,
! [X0: $i] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[],[f91]) ).
tcf(c_319,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n1,
inference(cnf_transformation,[],[f158]) ).
tcf(c_320,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_321,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[],[f155]) ).
tcf(c_322,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_323,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[],[f157]) ).
tcf(c_3680,definition,
iPr_def_10 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3681,definition,
iPr_def_11 = f_ADD_(t_206,n1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3682,definition,
iPr_def_12 = fwork_DOTfifo_DOTrtl_DOTempty_(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3683,definition,
iPr_def_13 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3684,definition,
iPr_def_14 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3685,definition,
iPr_def_15 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_3686,negated_conjecture,
iPr_def_10 = n1,
inference(demodulation,[status(thm)],[c_319,c_3680]) ).
tcf(c_3687,negated_conjecture,
~ p__pred_(iPr_def_12),
inference(demodulation,[status(thm)],[c_323,c_3681,c_3682]) ).
tcf(c_3688,negated_conjecture,
~ p__pred_(iPr_def_13),
inference(demodulation,[status(thm)],[c_322,c_3683]) ).
tcf(c_3689,negated_conjecture,
~ p__pred_(iPr_def_14),
inference(demodulation,[status(thm)],[c_321,c_3684]) ).
tcf(c_3690,negated_conjecture,
p__pred_(iPr_def_15),
inference(demodulation,[status(thm)],[c_320,c_3685]) ).
tcf(c_6114,plain,
! [X0: $i] : ~ p_LES_EQU_(f_ADD_(X0,iPr_def_10),n0),
inference(light_normalisation,[status(thm)],[c_244,c_3686]) ).
tcf(c_6115,plain,
~ p_LES_EQU_(iPr_def_10,n0),
inference(superposition,[status(thm)],[c_261,c_6114]) ).
tcf(c_6124,plain,
f_ADD_(t_206,iPr_def_10) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3681,c_3686]) ).
tcf(c_8215,plain,
! [X0: $i] :
( def_89(X0,X0)
| ( f_SUB_(f_ADD_(n0,X0),X0) = n0 ) ),
inference(superposition,[status(thm)],[c_261,c_247]) ).
tcf(c_8228,plain,
! [X0: $i] :
( def_89(X0,X0)
| ( f_SUB_(X0,X0) = n0 ) ),
inference(light_normalisation,[status(thm)],[c_8215,c_261]) ).
tcf(c_8229,plain,
! [X0: $i] : f_SUB_(X0,X0) = n0,
inference(forward_subsumption_resolution,[status(thm)],[c_8228,c_248]) ).
tcf(c_12495,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),iPr_def_10) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,iPr_def_10)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0)) ),
inference(light_normalisation,[status(thm)],[c_227,c_3686]) ).
tcf(c_12511,plain,
( p_LES_EQU_(iPr_def_10,n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),iPr_def_10) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,iPr_def_10)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(superposition,[status(thm)],[c_3680,c_12495]) ).
tcf(c_12518,plain,
( p__pred_(iPr_def_14)
| p__pred_(iPr_def_13)
| p_LES_EQU_(iPr_def_10,n0)
| ( f_SUB_(iPr_def_10,iPr_def_10) = fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_11) )
| ~ p__pred_(iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_12511,c_3680,c_3683,c_3684,c_3685,c_6124]) ).
tcf(c_12519,plain,
f_SUB_(iPr_def_10,iPr_def_10) = fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12518,c_3689,c_3688,c_6115,c_3690]) ).
tcf(c_12716,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_11) = n0,
inference(demodulation,[status(thm)],[c_12519,c_8229]) ).
tcf(c_12726,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(iPr_def_11)),
inference(superposition,[status(thm)],[c_12716,c_192]) ).
tcf(c_12728,plain,
p__pred_(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_12726,c_3682]) ).
tcf(c_12729,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12728,c_3687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV023-2 : 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 : n015.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 16:30:40 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
% 0.11/0.44 % Proving...
% 4.06/1.30 % SZS status Started for theBenchmark.p
% 4.06/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.06/1.30
% 4.06/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.06/1.30
% 4.06/1.30 % ------ iProver source info
% 4.06/1.30
% 4.06/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.06/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.06/1.30 % git: non_committed_changes: false
% 4.06/1.30
% 4.06/1.30 % ------ Parsing...% successful
% 4.06/1.30
% 4.06/1.30
% 4.06/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.06/1.30
% 4.06/1.30 % ------ 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 %
% 4.06/1.30
% 4.06/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.06/1.30
% 4.06/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.06/1.30 % ------ Proving...
% 4.06/1.30 % ------ Problem Properties
% 4.06/1.30
% 4.06/1.30 %
% 4.06/1.30 % clauses 130
% 4.06/1.30 % conjectures 5
% 4.06/1.30 % EPR 14
% 4.06/1.30 % Horn 82
% 4.06/1.30 % unary 37
% 4.06/1.30 % binary 40
% 4.06/1.30 % lits 326
% 4.06/1.30 % lits eq 71
% 4.06/1.30 % fd_pure 0
% 4.06/1.30 % fd_pseudo 0
% 4.06/1.30 % fd_cond 1
% 4.06/1.30 % fd_pseudo_cond 6
% 4.06/1.30 % AC symbols 0
% 4.06/1.30
% 4.06/1.30 % ------ Schedule dynamic 5 is on
% 4.06/1.30
% 4.06/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.06/1.30
% 4.06/1.30
% 4.06/1.30 % ------
% 4.06/1.30 % Current options:
% 4.06/1.30 % ------
% 4.06/1.30
% 4.06/1.30
% 4.06/1.30 %
% 4.06/1.30
% 4.06/1.30 % ------ Proving...
% 4.06/1.30 %
% 4.06/1.30
% 4.06/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.06/1.30
% 4.06/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.30
% 4.06/1.30
%------------------------------------------------------------------------------