%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV017-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Thu Sep 24 12:47:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of clauses : 85 ( 38 unt; 29 nHn; 65 RR)
% Number of literals : 177 ( 41 equ; 61 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 84 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_71,axiom,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(X1,X3)
| p_LES_EQU_(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_71) ).
cnf(axiom_60,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
cnf(axiom_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
cnf(axiom_72,axiom,
( ~ p_LES_EQU_(X2,f_ADD_(X1,n1))
| p_LES_EQU_(X2,X1)
| f_ADD_(X1,n1) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_72) ).
cnf(axiom_59,axiom,
f_ADD_(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
cnf(axiom_68,axiom,
( ~ p_LES_EQU_(X2,X1)
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_68) ).
cnf(axiom_67,axiom,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_67) ).
cnf(axiom_7,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_7) ).
cnf(axiom_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(axiom_43,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_43) ).
cnf(axiom_5,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
cnf(axiom_66,axiom,
( ~ p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1))
| p_LES_EQU_(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_66) ).
cnf(quest_5,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_2,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_47,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_47) ).
cnf(axiom_70,axiom,
( ~ p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X1,X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_70) ).
cnf(axiom_61,axiom,
( ~ p_LES_EQU_(X1,f_SUB_(X1,n1))
| p_LES_EQU_(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_61) ).
cnf(quest_4,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_6,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_6) ).
cnf(axiom_51,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_51) ).
cnf(quest_1,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(c_0_22,plain,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(X1,X3)
| p_LES_EQU_(X3,X2) ),
inference(fof_simplification,[status(thm)],[axiom_71]) ).
cnf(c_0_23,plain,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
inference(fof_simplification,[status(thm)],[axiom_60]) ).
cnf(c_0_24,plain,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(X1,X3)
| p_LES_EQU_(X3,X2) ),
c_0_22 ).
cnf(c_0_25,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_26,plain,
( ~ p_LES_EQU_(X2,f_ADD_(X1,n1))
| p_LES_EQU_(X2,X1)
| f_ADD_(X1,n1) = X2 ),
inference(fof_simplification,[status(thm)],[axiom_72]) ).
cnf(c_0_27,plain,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
c_0_23 ).
cnf(c_0_28,plain,
( p_LES_EQU_(X2,X1)
| p_LES_EQU_(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
f_ADD_(X1,n1) != n0,
inference(fof_simplification,[status(thm)],[axiom_59]) ).
cnf(c_0_30,plain,
( ~ p_LES_EQU_(X2,X1)
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[axiom_68]) ).
cnf(c_0_31,plain,
( ~ p_LES_EQU_(X2,f_ADD_(X1,n1))
| p_LES_EQU_(X2,X1)
| f_ADD_(X1,n1) = X2 ),
c_0_26 ).
cnf(c_0_32,plain,
p_LES_EQU_(n0,f_ADD_(X1,n1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
f_ADD_(X1,n1) != n0,
c_0_29 ).
cnf(c_0_34,plain,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1)) ),
inference(fof_simplification,[status(thm)],[axiom_67]) ).
cnf(c_0_35,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
cnf(c_0_36,plain,
( ~ p_LES_EQU_(X2,X1)
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| X1 = X2 ),
c_0_30 ).
cnf(c_0_37,plain,
p_LES_EQU_(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_38,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_39,plain,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1)) ),
c_0_34 ).
cnf(c_0_40,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1) ),
inference(fof_simplification,[status(thm)],[axiom_43]) ).
cnf(c_0_41,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
c_0_35 ).
cnf(c_0_42,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_43,plain,
( ~ p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1))
| p_LES_EQU_(X1,X2) ),
inference(fof_simplification,[status(thm)],[axiom_66]) ).
cnf(c_0_44,plain,
( p_LES_EQU_(n1,X1)
| X1 = n0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_45,plain,
( ~ p_LES_EQU_(n0,X1)
| p_LES_EQU_(n1,f_ADD_(X1,n1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_46,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1) ),
c_0_40 ).
cnf(c_0_47,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
quest_5 ).
cnf(c_0_49,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(fof_simplification,[status(thm)],[quest_3]) ).
cnf(c_0_50,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(fof_simplification,[status(thm)],[quest_2]) ).
cnf(c_0_51,plain,
( ~ p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1))
| p_LES_EQU_(X1,X2) ),
c_0_43 ).
cnf(c_0_52,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
inference(fof_simplification,[status(thm)],[axiom_47]) ).
cnf(c_0_53,plain,
( ~ p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X1,X2)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
cnf(c_0_54,plain,
( p_LES_EQU_(n1,X1)
| f_ADD_(X1,n1) = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_44]),c_0_33]) ).
cnf(c_0_55,plain,
p_LES_EQU_(n1,f_ADD_(X1,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_37])]) ).
cnf(c_0_56,plain,
( ~ p_LES_EQU_(X1,f_SUB_(X1,n1))
| p_LES_EQU_(X1,n0) ),
inference(fof_simplification,[status(thm)],[axiom_61]) ).
cnf(c_0_57,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_42]),c_0_42]),c_0_42]) ).
cnf(c_0_58,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_4 ).
cnf(c_0_59,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_60,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
c_0_49 ).
cnf(c_0_61,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
c_0_50 ).
cnf(c_0_62,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(fof_simplification,[status(thm)],[quest_6]) ).
cnf(c_0_63,plain,
( ~ p_LES_EQU_(f_ADD_(X1,n1),n1)
| p_LES_EQU_(X1,n0) ),
inference(spm,[status(thm)],[c_0_51,c_0_38]) ).
cnf(c_0_64,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
c_0_52 ).
cnf(c_0_65,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1) ),
axiom_51 ).
cnf(c_0_66,plain,
( ~ p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X1,X2)
| X1 = X2 ),
c_0_53 ).
cnf(c_0_67,plain,
( p_LES_EQU_(X1,X2)
| p_LES_EQU_(n1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_54]),c_0_55])]) ).
cnf(c_0_68,plain,
( ~ p_LES_EQU_(X1,f_SUB_(X1,n1))
| p_LES_EQU_(X1,n0) ),
c_0_56 ).
cnf(c_0_69,negated_conjecture,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_ ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_70,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
quest_1 ).
cnf(c_0_71,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
c_0_62 ).
cnf(c_0_72,plain,
( p_LES_EQU_(X1,n0)
| p_LES_EQU_(n1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_54]),c_0_25])]) ).
cnf(c_0_73,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_42]),c_0_42]),c_0_42]) ).
cnf(c_0_74,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_42]),c_0_42]) ).
cnf(c_0_75,plain,
( ~ p_LES_EQU_(X1,X2)
| p_LES_EQU_(n1,X2)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_77,plain,
~ p_LES_EQU_(n1,n0),
inference(spm,[status(thm)],[c_0_27,c_0_38]) ).
cnf(c_0_78,negated_conjecture,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1) ),
inference(csr,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( p_LES_EQU_(f_ADD_(n1,n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1 ),
inference(spm,[status(thm)],[c_0_36,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_59]),c_0_25])]),c_0_60]),c_0_61]) ).
cnf(c_0_83,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_82]),c_0_83]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV017-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.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 : Sun Sep 20 20:49:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.46 % Version: 3.5.1
% 0.09/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.46 % Starting sh5l with 300s (1) cores
% 0.09/0.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1205442 completed with status 0
% 0.09/0.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.09/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.46 % No SInE strategy applied
% 0.09/0.46 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.09/0.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.46 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.09/0.46 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.09/0.46 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.09/0.46 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1205451 completed with status 0
% 0.09/0.46 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.09/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.46 % No SInE strategy applied
% 0.09/0.46 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.09/0.46 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.46 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.09/0.46 % Preprocessing time : 0.002 s
% 0.09/0.46 % Presaturation interreduction done
% 0.09/0.46
% 0.09/0.46 % Proof found!
% 0.09/0.46 % SZS status Unsatisfiable
% 0.09/0.46 % SZS output start CNFRefutation
% See solution above
% 0.09/0.46 % Parsed axioms : 139
% 0.09/0.46 % Removed by relevancy pruning/SinE : 0
% 0.09/0.46 % Initial clauses : 139
% 0.09/0.46 % Removed in clause preprocessing : 1
% 0.09/0.46 % Initial clauses in saturation : 138
% 0.09/0.46 % Processed clauses : 510
% 0.09/0.46 % ...of these trivial : 5
% 0.09/0.46 % ...subsumed : 110
% 0.09/0.46 % ...remaining for further processing : 395
% 0.09/0.46 % Other redundant clauses eliminated : 9
% 0.09/0.46 % Clauses deleted for lack of memory : 0
% 0.09/0.46 % Backward-subsumed : 23
% 0.09/0.46 % Backward-rewritten : 66
% 0.09/0.46 % Generated clauses : 854
% 0.09/0.46 % ...of the previous two non-redundant : 687
% 0.09/0.46 % ...aggressively subsumed : 0
% 0.09/0.46 % Contextual simplify-reflections : 29
% 0.09/0.46 % Paramodulations : 830
% 0.09/0.46 % Factorizations : 14
% 0.09/0.46 % NegExts : 0
% 0.09/0.46 % Equation resolutions : 10
% 0.09/0.46 % Disequality decompositions : 0
% 0.09/0.46 % Total rewrite steps : 291
% 0.09/0.46 % ...of those cached : 238
% 0.09/0.46 % Propositional unsat checks : 0
% 0.09/0.46 % Propositional check models : 0
% 0.09/0.46 % Propositional check unsatisfiable : 0
% 0.09/0.46 % Propositional clauses : 0
% 0.09/0.46 % Propositional clauses after purity: 0
% 0.09/0.46 % Propositional unsat core size : 0
% 0.09/0.46 % Propositional preprocessing time : 0.000
% 0.09/0.46 % Propositional encoding time : 0.000
% 0.09/0.46 % Propositional solver time : 0.000
% 0.09/0.46 % Success case prop preproc time : 0.000
% 0.09/0.46 % Success case prop encoding time : 0.000
% 0.09/0.46 % Success case prop solver time : 0.000
% 0.09/0.46 % Current number of processed clauses : 174
% 0.09/0.46 % Positive orientable unit clauses : 31
% 0.09/0.46 % Positive unorientable unit clauses: 0
% 0.09/0.46 % Negative unit clauses : 9
% 0.09/0.46 % Non-unit-clauses : 134
% 0.09/0.46 % Current number of unprocessed clauses: 421
% 0.09/0.46 % ...number of literals in the above : 1325
% 0.09/0.46 % Current number of archived formulas : 0
% 0.09/0.46 % Current number of archived clauses : 217
% 0.09/0.46 % Clause-clause subsumption calls (NU) : 12776
% 0.09/0.46 % Rec. Clause-clause subsumption calls : 4054
% 0.09/0.46 % Non-unit clause-clause subsumptions : 129
% 0.09/0.46 % Unit Clause-clause subsumption calls : 191
% 0.09/0.46 % Rewrite failures with RHS unbound : 0
% 0.09/0.46 % BW rewrite match attempts : 26
% 0.09/0.46 % BW rewrite match successes : 11
% 0.09/0.46 % Condensation attempts : 0
% 0.09/0.46 % Condensation successes : 0
% 0.09/0.46 % Termbank termtop insertions : 18307
% 0.09/0.46 % Search garbage collected termcells : 244
% 0.09/0.46
% 0.09/0.46 % -------------------------------------------------
% 0.09/0.46 % User time : 0.029 s
% 0.09/0.46 % System time : 0.005 s
% 0.09/0.46 % Total time : 0.034 s
% 0.09/0.46 % Maximum resident set size: 3744 pages
% 0.09/0.46
% 0.09/0.46 % -------------------------------------------------
% 0.09/0.46 % User time : 0.129 s
% 0.09/0.46 % System time : 0.018 s
% 0.09/0.46 % Total time : 0.147 s
% 0.09/0.46 % Maximum resident set size: 4864 pages
% 0.09/0.46 % E exiting
%------------------------------------------------------------------------------