%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV022-2 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:28:59 PM UTC 2026
% Result : Unsatisfiable 1.56s 1.80s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of clauses : 84 ( 39 unt; 30 nHn; 63 RR)
% Number of literals : 169 ( 62 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
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_23,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_23) ).
cnf(axiom_51,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_51) ).
cnf(quest_2,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_1,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) ).
cnf(quest_5,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) ).
cnf(quest_4,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_71,axiom,
( p_LES_EQU_(X3,X2)
| p_LES_EQU_(X1,X3)
| ~ p_LES_EQU_(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_71) ).
cnf(axiom_59,axiom,
f_ADD_(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
cnf(axiom_73,axiom,
( X1 = n0
| ~ p_LES_EQU_(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_73) ).
cnf(axiom_63,axiom,
( def_89(X1,X2)
| f_SUB_(X2,X1) = X3
| f_ADD_(X3,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_63) ).
cnf(axiom_67,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_67) ).
cnf(axiom_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(axiom_70,axiom,
( X1 = X2
| ~ p_LES_EQU_(X1,X2)
| ~ p_LES_EQU_(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_70) ).
cnf(axiom_65,axiom,
( p_LES_EQU_(X1,X2)
| ~ def_89(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_65) ).
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_61,axiom,
( p_LES_EQU_(X1,n0)
| ~ p_LES_EQU_(X1,f_SUB_(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_61) ).
cnf(axiom_64,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_64) ).
cnf(axiom_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
cnf(axiom_76,axiom,
( X1 = X2
| f_ADD_(X1,n1) != f_ADD_(X2,n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_76) ).
cnf(axiom_74,axiom,
( X1 = f_ADD_(y_105(X1),n1)
| X1 = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_74) ).
cnf(axiom_68,axiom,
( X1 = X2
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| ~ p_LES_EQU_(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_68) ).
cnf(axiom_72,axiom,
( f_ADD_(X1,n1) = X2
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X2,f_ADD_(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_72) ).
cnf(c_0_25,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
axiom_18 ).
cnf(c_0_26,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_27,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
axiom_23 ).
cnf(c_0_28,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
axiom_51 ).
cnf(c_0_29,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_2 ).
cnf(c_0_31,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
quest_1 ).
cnf(c_0_32,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
quest_5 ).
cnf(c_0_33,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_4 ).
cnf(c_0_34,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_3 ).
cnf(c_0_35,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_26]),c_0_26]),c_0_26]) ).
cnf(c_0_36,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26]),c_0_26]) ).
cnf(c_0_37,axiom,
( p_LES_EQU_(X3,X2)
| p_LES_EQU_(X1,X3)
| ~ p_LES_EQU_(X1,X2) ),
axiom_71 ).
cnf(c_0_38,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_39,axiom,
f_ADD_(X1,n1) != n0,
axiom_59 ).
cnf(c_0_40,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(X1)) ),
inference(csr,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,axiom,
( X1 = n0
| ~ p_LES_EQU_(X1,n0) ),
axiom_73 ).
cnf(c_0_42,negated_conjecture,
( p_LES_EQU_(X1,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ != n0,
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_44,axiom,
( def_89(X1,X2)
| f_SUB_(X2,X1) = X3
| f_ADD_(X3,X1) != X2 ),
axiom_63 ).
cnf(c_0_45,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_33]),c_0_34]) ).
cnf(c_0_46,axiom,
( p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1))
| ~ p_LES_EQU_(X1,X2) ),
axiom_67 ).
cnf(c_0_47,negated_conjecture,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_48,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_49,plain,
( f_SUB_(f_ADD_(X1,X2),X2) = X1
| def_89(X2,f_ADD_(X1,X2)) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_50,axiom,
( X1 = X2
| ~ p_LES_EQU_(X1,X2)
| ~ p_LES_EQU_(X2,X1) ),
axiom_70 ).
cnf(c_0_51,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(rw,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_31]) ).
cnf(c_0_53,axiom,
( p_LES_EQU_(X1,X2)
| ~ def_89(X2,X1) ),
axiom_65 ).
cnf(c_0_54,negated_conjecture,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_55,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
axiom_60 ).
cnf(c_0_56,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_38]),c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( p_LES_EQU_(X1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p_LES_EQU_(n1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_52]) ).
cnf(c_0_58,axiom,
( p_LES_EQU_(X1,n0)
| ~ p_LES_EQU_(X1,f_SUB_(X1,n1)) ),
axiom_61 ).
cnf(c_0_59,negated_conjecture,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_61,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
axiom_64 ).
cnf(c_0_62,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_63,axiom,
( X1 = X2
| f_ADD_(X1,n1) != f_ADD_(X2,n1) ),
axiom_76 ).
cnf(c_0_64,axiom,
( X1 = f_ADD_(y_105(X1),n1)
| X1 = n0 ),
axiom_74 ).
cnf(c_0_65,axiom,
( X1 = X2
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| ~ p_LES_EQU_(X2,X1) ),
axiom_68 ).
cnf(c_0_66,negated_conjecture,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_68,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_38])]),c_0_60]) ).
cnf(c_0_69,plain,
~ def_89(X1,X1),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_70,axiom,
( f_ADD_(X1,n1) = X2
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X2,f_ADD_(X1,n1)) ),
axiom_72 ).
cnf(c_0_71,plain,
( p_LES_EQU_(X1,X2)
| p_LES_EQU_(X2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_62]) ).
cnf(c_0_72,plain,
( X1 = y_105(X2)
| X2 = n0
| f_ADD_(X1,n1) != X2 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1
| p_LES_EQU_(f_ADD_(n1,n1),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_75,plain,
f_SUB_(X1,X1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_69]) ).
cnf(c_0_76,plain,
( X1 = n0
| X1 = X2
| p_LES_EQU_(X2,y_105(X1))
| ~ p_LES_EQU_(X2,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_64]) ).
cnf(c_0_77,plain,
p_LES_EQU_(n0,f_ADD_(X1,n1)),
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_78,plain,
y_105(f_ADD_(X1,n1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_39]) ).
cnf(c_0_79,negated_conjecture,
( f_ADD_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)
| fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),f_ADD_(n1,n1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_74]),c_0_75]),c_0_74]),c_0_69]) ).
cnf(c_0_81,plain,
p_LES_EQU_(n0,X1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_39]) ).
cnf(c_0_82,plain,
n1 != n0,
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]),c_0_80]),c_0_81])]),c_0_39]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : HWV022-2 : TPTP v9.2.1. Released v2.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n016.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 19:12:06 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.35 % start to proof: theBenchmark
% 1.56/1.80 % Version : CSE_E---1.7
% 1.56/1.80 % Problem : theBenchmark.p
% 1.56/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.80 % SZS output start CNFRefutation
% See solution above
% 1.56/1.81 % Total time : 1.368s
%------------------------------------------------------------------------------