%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV016-2 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 04:28:57 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.74s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 45 ( 21 unt; 19 nHn; 36 RR)
% Number of literals : 113 ( 32 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_9) ).
cnf(axiom_5,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_5) ).
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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_18) ).
cnf(quest_4,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
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/sandbox/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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_51) ).
cnf(axiom_31,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_31) ).
cnf(quest_3,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_59,axiom,
f_ADD_(X1,n1) != n0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
cnf(quest_2,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_73,axiom,
( X1 = n0
| ~ p_LES_EQU_(X1,n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_73) ).
cnf(axiom_36,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_36) ).
cnf(axiom_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(axiom_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
cnf(quest_5,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
cnf(c_0_15,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
axiom_9 ).
cnf(c_0_16,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_17,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_18,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
quest_4 ).
cnf(c_0_20,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_21,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_22,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
axiom_31 ).
cnf(c_0_23,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_17,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_3 ).
cnf(c_0_25,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,axiom,
f_ADD_(X1,n1) != n0,
axiom_59 ).
cnf(c_0_27,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_2 ).
cnf(c_0_28,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_20,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_29,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_21,c_0_16]),c_0_16]) ).
cnf(c_0_30,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_31,negated_conjecture,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_32,axiom,
( X1 = n0
| ~ p_LES_EQU_(X1,n0) ),
axiom_73 ).
cnf(c_0_33,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_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_25]),c_0_24])]),c_0_27]),c_0_32]) ).
cnf(c_0_35,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
axiom_36 ).
cnf(c_0_36,negated_conjecture,
( fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]),c_0_27]) ).
cnf(c_0_37,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_38,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__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_39,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_25]),c_0_24])]),c_0_27]),c_0_32]) ).
cnf(c_0_40,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_41,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
quest_5 ).
cnf(c_0_43,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
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)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25]),c_0_37]),c_0_40]),c_0_24])]),c_0_41]),c_0_27]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_39]),c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV016-2 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:11:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.37/1.74 % Version : CSE_E---1.7
% 1.37/1.74 % Problem : theBenchmark.p
% 1.37/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.74 % SZS output start CNFRefutation
% See solution above
% 1.37/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------