%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV016-2 : 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 : 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 01:39:58 PM UTC 2026
% Result : Unsatisfiable 1.07s 1.73s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 70 ( 34 unt; 5 def)
% Number of atoms : 220 ( 45 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 162 ( 62 ~; 100 |; 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 : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_9) ).
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/sandbox/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/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(f38,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)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_31) ).
fof(f39,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_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) ),
inference(reorient_equations,[],[f38]) ).
fof(f44,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_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_36) ).
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(f70,axiom,
! [X0] : f_ADD_(X0,n1) != n0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
fof(f71,plain,
! [X0] : n0 != f_ADD_(X0,n1),
inference(reorient_equations,[],[f70]) ).
fof(f82,axiom,
! [X0,X1] :
( ~ p_LES_EQU_(X1,X0)
| ~ p_LES_EQU_(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_70) ).
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_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f153,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f154,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f155,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f156,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f157,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(definition_unfolding,[],[f152,f5]) ).
tcf(c_193,plain,
! [X0: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) = n0 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[],[f11]) ).
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_215,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_220,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_235,plain,
! [X0: $i] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0) ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_243,plain,
! [X0: $i] : f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[],[f71]) ).
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_259,plain,
! [X0: $i] : p_LES_EQU_(X0,X0),
inference(cnf_transformation,[],[f89]) ).
tcf(c_319,negated_conjecture,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)),
inference(cnf_transformation,[],[f157]) ).
tcf(c_320,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[],[f153]) ).
tcf(c_321,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_322,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[],[f155]) ).
tcf(c_323,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(cnf_transformation,[],[f156]) ).
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 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3679,definition,
iPr_def_11 = f_ADD_(t_206,n1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3680,definition,
iPr_def_12 = fwork_DOTfifo_DOTrtl_DOTempty_(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3681,definition,
iPr_def_13 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3682,definition,
iPr_def_14 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3683,negated_conjecture,
p_LES_EQU_(n0,iPr_def_10),
inference(demodulation,[status(thm)],[c_319,c_3678]) ).
tcf(c_3684,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(demodulation,[status(thm)],[c_323]) ).
tcf(c_3685,negated_conjecture,
p__pred_(iPr_def_12),
inference(demodulation,[status(thm)],[c_322,c_3679,c_3680]) ).
tcf(c_3686,negated_conjecture,
p__pred_(iPr_def_13),
inference(demodulation,[status(thm)],[c_321,c_3681]) ).
tcf(c_3687,negated_conjecture,
~ p__pred_(iPr_def_14),
inference(demodulation,[status(thm)],[c_320,c_3682]) ).
tcf(c_6266,plain,
( ( fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_11) = n0 )
| ~ p__pred_(iPr_def_12) ),
inference(superposition,[status(thm)],[c_3680,c_193]) ).
tcf(c_6267,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(iPr_def_11) = n0,
inference(forward_subsumption_resolution,[status(thm)],[c_6266,c_3685]) ).
tcf(c_8047,plain,
( ( n0 = iPr_def_10 )
| ~ p_LES_EQU_(iPr_def_10,n0) ),
inference(superposition,[status(thm)],[c_3683,c_254]) ).
tcf(c_13928,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_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3678,c_473]) ).
tcf(c_13930,plain,
( p__pred_(iPr_def_14)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( n0 = iPr_def_10 )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_13928,c_3678,c_3679,c_3682,c_6267]) ).
tcf(c_13931,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( n0 = iPr_def_10 )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13930,c_3687]) ).
tcf(c_14608,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(iPr_def_10,n0)
| ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(superposition,[status(thm)],[c_3678,c_215]) ).
tcf(c_14616,plain,
( p__pred_(iPr_def_14)
| p_LES_EQU_(iPr_def_10,n0)
| ( n0 = iPr_def_10 )
| ~ p__pred_(iPr_def_13)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(light_normalisation,[status(thm)],[c_14608,c_3678,c_3679,c_3681,c_3682,c_6267]) ).
tcf(c_14617,plain,
( p_LES_EQU_(iPr_def_10,n0)
| ( n0 = iPr_def_10 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14616,c_3687,c_3686]) ).
tcf(c_14764,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( n0 = iPr_def_10 ) ),
inference(global_subsumption_just,[status(thm)],[c_14617,c_8047,c_14617]) ).
tcf(c_14765,plain,
( ( n0 = iPr_def_10 )
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(renaming,[status(thm)],[c_14764]) ).
tcf(c_14772,plain,
( ( n0 = iPr_def_10 )
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13931,c_14765]) ).
tcf(c_14988,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10)
| ( 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_3678,c_202]) ).
tcf(c_15000,plain,
( p__pred_(iPr_def_14)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10)
| ( f_ADD_(iPr_def_10,n1) = n0 )
| ~ p__pred_(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_14988,c_3678,c_3679,c_3681,c_3682,c_6267]) ).
tcf(c_15001,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15000,c_3687,c_243,c_3686]) ).
tcf(c_15157,plain,
( 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_DOTrd_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p_LES_EQU_(iPr_def_10,n0) ),
inference(superposition,[status(thm)],[c_3678,c_220]) ).
tcf(c_15165,plain,
( p__pred_(iPr_def_14)
| ( f_ADD_(iPr_def_10,n1) = n0 )
| ~ p__pred_(iPr_def_13)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(iPr_def_10,n0) ),
inference(light_normalisation,[status(thm)],[c_15157,c_3678,c_3679,c_3681,c_3682,c_6267]) ).
tcf(c_15166,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ~ p_LES_EQU_(iPr_def_10,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15165,c_3687,c_243,c_3686]) ).
tcf(c_15199,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| ( n0 = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_15001,c_14772]) ).
tcf(c_15215,plain,
n0 = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_15199,c_8047,c_14617,c_15199]) ).
tcf(c_15266,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,iPr_def_10),
inference(demodulation,[status(thm)],[c_3684,c_15215]) ).
tcf(c_15334,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(backward_subsumption_resolution,[status(thm)],[c_15001,c_15266]) ).
tcf(c_15370,plain,
~ p_LES_EQU_(iPr_def_10,n0),
inference(global_subsumption_just,[status(thm)],[c_15166,c_15166,c_15334]) ).
tcf(c_15372,plain,
~ p_LES_EQU_(iPr_def_10,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_15370,c_15215]) ).
tcf(c_15373,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15372,c_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV016-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.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 : Wed Sep 23 16:27:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.07/1.73 % SZS status Started for theBenchmark.p
% 1.07/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.07/1.73
% 1.07/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.07/1.73
% 1.07/1.73 % ------ iProver source info
% 1.07/1.73
% 1.07/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 1.07/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.07/1.73 % git: non_committed_changes: false
% 1.07/1.73
% 1.07/1.73 % ------ Parsing...% successful
% 1.07/1.73
% 1.07/1.73
% 1.07/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.07/1.73
% 1.07/1.73 % ------ 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 %
% 1.07/1.73
% 1.07/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.07/1.73
% 1.07/1.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.07/1.73 % ------ Proving...
% 1.07/1.73 % ------ Problem Properties
% 1.07/1.73
% 1.07/1.73 %
% 1.07/1.73 % clauses 129
% 1.07/1.73 % conjectures 5
% 1.07/1.73 % EPR 14
% 1.07/1.73 % Horn 81
% 1.07/1.73 % unary 36
% 1.07/1.73 % binary 40
% 1.07/1.73 % lits 325
% 1.07/1.73 % lits eq 69
% 1.07/1.73 % fd_pure 0
% 1.07/1.73 % fd_pseudo 0
% 1.07/1.73 % fd_cond 1
% 1.07/1.73 % fd_pseudo_cond 6
% 1.07/1.73 % AC symbols 0
% 1.07/1.73
% 1.07/1.73 % ------ Schedule dynamic 5 is on
% 1.07/1.73
% 1.07/1.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.07/1.73
% 1.07/1.73
% 1.07/1.73 % ------
% 1.07/1.73 % Current options:
% 1.07/1.73 % ------
% 1.07/1.73
% 1.07/1.73
% 1.07/1.73 %
% 1.07/1.73
% 1.07/1.73 % ------ Proving...
% 1.07/1.73 %
% 1.07/1.73
% 1.07/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.07/1.73
% 1.07/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.07/1.74
% 1.07/1.74
%------------------------------------------------------------------------------