%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV018-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 01:39:58 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.28s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 65 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 21 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_6) ).
fof(f7,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_7) ).
fof(f9,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(reorient_equations,[],[f8]) ).
fof(f29,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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_23) ).
fof(f30,plain,
! [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_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f29]) ).
fof(f61,axiom,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_51) ).
fof(f62,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f61]) ).
fof(f89,axiom,
! [X0] : p_LES_EQU_(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
fof(f152,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f156,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
tcf(c_187,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_188,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
inference(cnf_transformation,[],[f153]) ).
tcf(c_189,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_191,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[],[f156]) ).
tcf(c_192,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_197,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != fwork_DOTfifo_DOTrtl_DOTfifo__length_ ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_207,plain,
! [X0: $i] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[],[f89]) ).
tcf(c_214,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_236,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_214,c_192,c_214]) ).
tcf(c_1560,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(superposition,[status(thm)],[c_188,c_196]) ).
tcf(c_2124,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(superposition,[status(thm)],[c_1560,c_236]) ).
tcf(c_2125,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(light_normalisation,[status(thm)],[c_2124,c_1560]) ).
tcf(c_2126,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(forward_subsumption_resolution,[status(thm)],[c_2125,c_189,c_187,c_207]) ).
tcf(c_2187,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
inference(superposition,[status(thm)],[c_2126,c_197]) ).
tcf(c_2188,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2187,c_191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV018-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 16:25:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.32/1.28 % SZS status Started for theBenchmark.p
% 1.32/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.28
% 1.32/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.28
% 1.32/1.28 % ------ iProver source info
% 1.32/1.28
% 1.32/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.28 % git: non_committed_changes: false
% 1.32/1.28
% 1.32/1.28 % ------ Parsing...% successful
% 1.32/1.28
% 1.32/1.28
% 1.32/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.28
% 1.32/1.28 % ------ 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 %
% 1.32/1.28
% 1.32/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.32/1.28
% 1.32/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.32/1.28 % ------ Proving...
% 1.32/1.28 % ------ Problem Properties
% 1.32/1.28
% 1.32/1.28 %
% 1.32/1.28 % clauses 28
% 1.32/1.28 % conjectures 5
% 1.32/1.28 % EPR 4
% 1.32/1.28 % Horn 18
% 1.32/1.28 % unary 9
% 1.32/1.28 % binary 8
% 1.32/1.28 % lits 69
% 1.32/1.28 % lits eq 18
% 1.32/1.28 % fd_pure 0
% 1.32/1.28 % fd_pseudo 0
% 1.32/1.28 % fd_cond 1
% 1.32/1.28 % fd_pseudo_cond 4
% 1.32/1.28 % AC symbols 0
% 1.32/1.28
% 1.32/1.28 % ------ Schedule dynamic 5 is on
% 1.32/1.28
% 1.32/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.32/1.28
% 1.32/1.28
% 1.32/1.28 % ------
% 1.32/1.28 % Current options:
% 1.32/1.28 % ------
% 1.32/1.28
% 1.32/1.28
% 1.32/1.28 %
% 1.32/1.28
% 1.32/1.28 % ------ Proving...
% 1.32/1.28 %
% 1.32/1.28
% 1.32/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.28
% 1.32/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.28
% 1.32/1.28
%------------------------------------------------------------------------------