%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV022-2 : 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 : n002.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 17.91s 3.63s
% Output : CNFRefutation 17.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 90 ( 44 unt; 7 def)
% Number of atoms : 264 ( 57 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 143 ( 53 ~; 90 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 31 :)
% 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(f23,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)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
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/sandbox2/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/sandbox2/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(f72,axiom,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
fof(f73,axiom,
! [X0] :
( p_LES_EQU_(X0,n0)
| ~ p_LES_EQU_(X0,f_SUB_(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_61) ).
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(f77,axiom,
! [X0,X1] :
( ~ def_89(X1,X0)
| p_LES_EQU_(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_65) ).
fof(f78,axiom,
! [X0,X1] :
( p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_66) ).
fof(f82,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_70) ).
fof(f83,axiom,
! [X2,X0,X1] :
( p_LES_EQU_(X0,X2)
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_71) ).
fof(f85,axiom,
! [X0] :
( X0 = n0
| ~ p_LES_EQU_(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_73) ).
fof(f86,plain,
! [X0] :
( n0 = X0
| ~ p_LES_EQU_(X0,n0) ),
inference(reorient_equations,[],[f85]) ).
fof(f89,axiom,
! [X0] : p_LES_EQU_(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
fof(f91,axiom,
! [X0] : f_ADD_(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
fof(f152,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f153,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f157,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f158,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
inference(reorient_equations,[],[f157]) ).
fof(f159,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
inference(definition_unfolding,[],[f153,f5]) ).
fof(f160,plain,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
inference(definition_unfolding,[],[f158,f5]) ).
fof(f162,plain,
! [X2,X0] :
( f_SUB_(f_ADD_(X2,X0),X0) = X2
| def_89(X0,f_ADD_(X2,X0)) ),
inference(equality_resolution,[],[f75]) ).
tcf(c_202,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_207,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(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_235,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_244,plain,
! [X0: $i] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[],[f72]) ).
tcf(c_245,plain,
! [X0: $i] :
( p_LES_EQU_(X0,n0)
| ~ p_LES_EQU_(X0,f_SUB_(X0,n1)) ),
inference(cnf_transformation,[],[f73]) ).
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,[],[f162]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( p_LES_EQU_(X1,X0)
| ~ def_89(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( p_LES_EQU_(X0,X1)
| ~ p_LES_EQU_(f_ADD_(X0,n1),f_ADD_(X1,n1)) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i] :
( p_LES_EQU_(X2,X1)
| p_LES_EQU_(X0,X2)
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_257,plain,
! [X0: $i] :
( ( X0 = n0 )
| ~ p_LES_EQU_(X0,n0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_259,plain,
! [X0: $i] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[],[f89]) ).
tcf(c_261,plain,
! [X0: $i] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[],[f91]) ).
tcf(c_319,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(cnf_transformation,[],[f159]) ).
tcf(c_320,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(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_DOTrd_(t_206)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_323,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(cnf_transformation,[],[f160]) ).
tcf(c_473,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(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_207,c_235,c_207]) ).
tcf(c_3678,definition,
iPr_def_10 = f_ADD_(t_206,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3679,definition,
iPr_def_11 = fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3680,definition,
iPr_def_12 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3681,definition,
iPr_def_13 = f_ADD_(iPr_def_12,n1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3682,definition,
iPr_def_14 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3683,definition,
iPr_def_15 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_3684,definition,
iPr_def_16 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_3685,negated_conjecture,
iPr_def_11 != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm)],[c_323,c_3678,c_3679]) ).
tcf(c_3686,negated_conjecture,
iPr_def_13 = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(demodulation,[status(thm)],[c_319,c_3680,c_3681]) ).
tcf(c_3687,negated_conjecture,
~ p__pred_(iPr_def_14),
inference(demodulation,[status(thm)],[c_322,c_3682]) ).
tcf(c_3688,negated_conjecture,
~ p__pred_(iPr_def_15),
inference(demodulation,[status(thm)],[c_321,c_3683]) ).
tcf(c_3689,negated_conjecture,
p__pred_(iPr_def_16),
inference(demodulation,[status(thm)],[c_320,c_3684]) ).
tcf(c_6097,plain,
iPr_def_11 != iPr_def_13,
inference(light_normalisation,[status(thm)],[c_3685,c_3686]) ).
tcf(c_6110,plain,
~ p_LES_EQU_(iPr_def_13,n0),
inference(superposition,[status(thm)],[c_3681,c_244]) ).
tcf(c_6596,plain,
! [X0: $i,X1: $i] :
( p_LES_EQU_(X1,X0)
| p_LES_EQU_(X0,X1) ),
inference(superposition,[status(thm)],[c_259,c_255]) ).
tcf(c_6633,plain,
! [X0: $i] :
( p_LES_EQU_(X0,n0)
| p_LES_EQU_(f_SUB_(X0,n1),X0) ),
inference(superposition,[status(thm)],[c_6596,c_245]) ).
tcf(c_7331,plain,
! [X0: $i] :
( p_LES_EQU_(X0,n0)
| ~ p_LES_EQU_(f_ADD_(X0,n1),n1) ),
inference(superposition,[status(thm)],[c_261,c_250]) ).
tcf(c_14208,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
| ~ p_LES_EQU_(iPr_def_13,fwork_DOTfifo_DOTrtl_DOTint__level_(X0)) ),
inference(light_normalisation,[status(thm)],[c_473,c_3686]) ).
tcf(c_14229,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) )
| ~ p_LES_EQU_(iPr_def_13,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3680,c_14208]) ).
tcf(c_14236,plain,
( p__pred_(iPr_def_15)
| p__pred_(iPr_def_14)
| ( iPr_def_11 = iPr_def_12 )
| ~ p_LES_EQU_(iPr_def_13,iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_14229,c_3678,c_3679,c_3680,c_3682,c_3683]) ).
tcf(c_14237,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ p_LES_EQU_(iPr_def_13,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14236,c_3688,c_3687]) ).
tcf(c_14836,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(iPr_def_13,fwork_DOTfifo_DOTrtl_DOTint__level_(X0))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(light_normalisation,[status(thm)],[c_202,c_3686]) ).
tcf(c_14852,plain,
( p_LES_EQU_(iPr_def_13,iPr_def_12)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(superposition,[status(thm)],[c_3680,c_14836]) ).
tcf(c_14864,plain,
( p__pred_(iPr_def_15)
| p__pred_(iPr_def_14)
| p_LES_EQU_(iPr_def_13,iPr_def_12)
| ( iPr_def_11 = iPr_def_13 )
| ~ p__pred_(iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_14852,c_3678,c_3679,c_3680,c_3681,c_3682,c_3683,c_3684]) ).
tcf(c_14865,plain,
p_LES_EQU_(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_14864,c_3688,c_3687,c_6097,c_3689]) ).
tcf(c_14889,plain,
iPr_def_11 = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_14237,c_14865]) ).
tcf(c_14905,plain,
f_ADD_(iPr_def_11,n1) = iPr_def_13,
inference(demodulation,[status(thm)],[c_3681,c_14889]) ).
tcf(c_14942,plain,
p_LES_EQU_(iPr_def_13,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_14865,c_14889]) ).
tcf(c_14943,plain,
( ( iPr_def_11 = iPr_def_13 )
| ~ p_LES_EQU_(iPr_def_11,iPr_def_13) ),
inference(superposition,[status(thm)],[c_14942,c_254]) ).
tcf(c_14944,plain,
! [X0: $i] :
( p_LES_EQU_(iPr_def_13,X0)
| p_LES_EQU_(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14942,c_255]) ).
tcf(c_14947,plain,
~ p_LES_EQU_(iPr_def_11,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_14943,c_6097]) ).
tcf(c_16423,plain,
! [X0: $i] :
( p_LES_EQU_(iPr_def_11,X0)
| ~ p_LES_EQU_(iPr_def_13,f_ADD_(X0,n1)) ),
inference(superposition,[status(thm)],[c_14905,c_250]) ).
tcf(c_16437,plain,
( def_89(n1,iPr_def_13)
| ( f_SUB_(f_ADD_(iPr_def_11,n1),n1) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_14905,c_247]) ).
tcf(c_16456,plain,
( def_89(n1,iPr_def_13)
| ( f_SUB_(iPr_def_13,n1) = iPr_def_11 ) ),
inference(light_normalisation,[status(thm)],[c_16437,c_14905]) ).
tcf(c_18902,plain,
( p_LES_EQU_(iPr_def_11,n0)
| ~ p_LES_EQU_(iPr_def_13,n1) ),
inference(superposition,[status(thm)],[c_14905,c_7331]) ).
tcf(c_24527,plain,
! [X0: $i] :
( p_LES_EQU_(iPr_def_11,X0)
| p_LES_EQU_(f_ADD_(X0,n1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_14944,c_16423]) ).
tcf(c_25465,plain,
( p_LES_EQU_(iPr_def_13,n1)
| ( f_SUB_(iPr_def_13,n1) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_16456,c_249]) ).
tcf(c_29194,plain,
( p_LES_EQU_(iPr_def_11,n0)
| ( f_SUB_(iPr_def_13,n1) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_25465,c_18902]) ).
tcf(c_30396,plain,
( ( n0 = iPr_def_11 )
| ( f_SUB_(iPr_def_13,n1) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_29194,c_257]) ).
tcf(c_39449,plain,
( p_LES_EQU_(iPr_def_13,n0)
| p_LES_EQU_(iPr_def_11,iPr_def_13)
| ( n0 = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_30396,c_6633]) ).
tcf(c_39505,plain,
n0 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_39449,c_6110,c_14947]) ).
tcf(c_39626,plain,
! [X0: $i] : ~ p_LES_EQU_(f_ADD_(X0,n1),iPr_def_11),
inference(demodulation,[status(thm)],[c_244,c_39505]) ).
tcf(c_39628,plain,
! [X0: $i] : p_LES_EQU_(iPr_def_11,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_24527,c_39626]) ).
tcf(c_39629,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_14947,c_39628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV022-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 16:29:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 17.91/3.63 % SZS status Started for theBenchmark.p
% 17.91/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.91/3.63
% 17.91/3.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.91/3.63
% 17.91/3.63 % ------ iProver source info
% 17.91/3.63
% 17.91/3.63 % git: date: 2026-07-19 20:42:38 +0200
% 17.91/3.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.91/3.63 % git: non_committed_changes: false
% 17.91/3.63
% 17.91/3.63 % ------ Parsing...% successful
% 17.91/3.63
% 17.91/3.63
% 17.91/3.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.91/3.63
% 17.91/3.63 % ------ 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 %
% 17.91/3.63
% 17.91/3.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.91/3.63
% 17.91/3.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.91/3.63 % ------ Proving...
% 17.91/3.63 % ------ Problem Properties
% 17.91/3.63
% 17.91/3.63 %
% 17.91/3.63 % clauses 131
% 17.91/3.63 % conjectures 5
% 17.91/3.63 % EPR 14
% 17.91/3.63 % Horn 83
% 17.91/3.63 % unary 38
% 17.91/3.63 % binary 40
% 17.91/3.63 % lits 327
% 17.91/3.63 % lits eq 73
% 17.91/3.63 % fd_pure 0
% 17.91/3.63 % fd_pseudo 0
% 17.91/3.63 % fd_cond 1
% 17.91/3.63 % fd_pseudo_cond 6
% 17.91/3.63 % AC symbols 0
% 17.91/3.63
% 17.91/3.63 % ------ Schedule dynamic 5 is on
% 17.91/3.63
% 17.91/3.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.91/3.63
% 17.91/3.63
% 17.91/3.63 % ------
% 17.91/3.63 % Current options:
% 17.91/3.63 % ------
% 17.91/3.63
% 17.91/3.63
% 17.91/3.63 %
% 17.91/3.63
% 17.91/3.63 % ------ Proving...
% 17.91/3.63 %
% 17.91/3.63
% 17.91/3.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.91/3.63
% 17.91/3.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.91/3.64
% 17.91/3.64
%------------------------------------------------------------------------------