%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV017-2 : 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 : n012.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 1.17s 1.63s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of clauses : 63 ( 31 unt; 22 nHn; 46 RR)
% Number of literals : 129 ( 33 equ; 39 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 : 55 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
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_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(axiom_59,axiom,
f_ADD_(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_59) ).
cnf(axiom_7,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_7) ).
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_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_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(axiom_43,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_43) ).
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(axiom_66,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_66) ).
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(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,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV004-0.ax',axiom_47) ).
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(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(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(quest_6,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_6) ).
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(c_0_21,axiom,
( p_LES_EQU_(X3,X2)
| p_LES_EQU_(X1,X3)
| ~ p_LES_EQU_(X1,X2) ),
axiom_71 ).
cnf(c_0_22,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_23,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
axiom_60 ).
cnf(c_0_24,plain,
( p_LES_EQU_(X1,X2)
| p_LES_EQU_(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
( f_ADD_(X1,n1) = X2
| p_LES_EQU_(X2,X1)
| ~ p_LES_EQU_(X2,f_ADD_(X1,n1)) ),
axiom_72 ).
cnf(c_0_26,plain,
p_LES_EQU_(n0,f_ADD_(X1,n1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,axiom,
f_ADD_(X1,n1) != n0,
axiom_59 ).
cnf(c_0_28,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1)) ),
axiom_7 ).
cnf(c_0_29,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_30,axiom,
( X1 = X2
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| ~ p_LES_EQU_(X2,X1) ),
axiom_68 ).
cnf(c_0_31,plain,
p_LES_EQU_(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_33,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
axiom_43 ).
cnf(c_0_34,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X1)) ),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
quest_5 ).
cnf(c_0_36,axiom,
( p_LES_EQU_(X1,X2)
| ~ p_LES_EQU_(f_ADD_(X1,n1),f_ADD_(X2,n1)) ),
axiom_66 ).
cnf(c_0_37,plain,
( X1 = n0
| p_LES_EQU_(n1,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_38,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_39,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_4 ).
cnf(c_0_40,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTfifo__length_,
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_3 ).
cnf(c_0_42,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_2 ).
cnf(c_0_43,plain,
( p_LES_EQU_(X1,n0)
| ~ p_LES_EQU_(f_ADD_(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_44,plain,
( f_ADD_(X1,n1) = n1
| p_LES_EQU_(n1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_37]),c_0_27]) ).
cnf(c_0_45,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
axiom_47 ).
cnf(c_0_46,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_47,axiom,
( p_LES_EQU_(X1,n0)
| ~ p_LES_EQU_(X1,f_SUB_(X1,n1)) ),
axiom_61 ).
cnf(c_0_48,negated_conjecture,
( f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTfifo__length_
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
quest_1 ).
cnf(c_0_50,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
quest_6 ).
cnf(c_0_51,plain,
( p_LES_EQU_(n1,X1)
| p_LES_EQU_(X1,n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_22])]) ).
cnf(c_0_52,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_DOTwr_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_53,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_46,c_0_29]),c_0_29]) ).
cnf(c_0_54,axiom,
( X1 = X2
| ~ p_LES_EQU_(X1,X2)
| ~ p_LES_EQU_(X2,X1) ),
axiom_70 ).
cnf(c_0_55,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_47,c_0_48]),c_0_49])]) ).
cnf(c_0_56,negated_conjecture,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(X1,n1)) = fwork_DOTfifo_DOTrtl_DOTlevel_(X1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0) ),
inference(csr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_31])]) ).
cnf(c_0_59,negated_conjecture,
( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = n1
| p_LES_EQU_(f_ADD_(n1,n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(spm,[status(thm)],[c_0_30,c_0_56]) ).
cnf(c_0_60,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_57,c_0_58]),c_0_40]),c_0_22])]),c_0_41]),c_0_42]) ).
cnf(c_0_61,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_27,c_0_32]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60]),c_0_60]),c_0_61]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : HWV017-2 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 19:10:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.17/1.63 % Version : CSE_E---1.7
% 1.17/1.63 % Problem : theBenchmark.p
% 1.17/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.63 % SZS output start CNFRefutation
% See solution above
% 1.17/1.63 % Total time : 1.361s
%------------------------------------------------------------------------------