%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV020-2 : 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 : n019.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 04:28:58 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.73s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 15 unt; 7 nHn; 21 RR)
% Number of literals : 58 ( 17 equ; 19 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 : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_47) ).
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_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_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(quest_4,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(axiom_8,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).
cnf(axiom_75,axiom,
p_LES_EQU_(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_75) ).
cnf(quest_2,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_5,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
cnf(c_0_10,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_11,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_12,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_13,axiom,
( fwork_DOTfifo_DOTrtl_DOTint__level_(X1) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
axiom_9 ).
cnf(c_0_14,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_10,c_0_11]),c_0_11]),c_0_11]) ).
cnf(c_0_15,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_12,c_0_11]),c_0_11]) ).
cnf(c_0_16,plain,
( fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = n0
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1)) ),
inference(rw,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
quest_4 ).
cnf(c_0_18,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
axiom_8 ).
cnf(c_0_19,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_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
p_LES_EQU_(X1,X1),
axiom_75 ).
cnf(c_0_22,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_2 ).
cnf(c_0_23,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_3 ).
cnf(c_0_24,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X1) != n0 ),
inference(rw,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_25,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
quest_5 ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HWV020-2 : 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
% 0.13/0.32 % Computer : n019.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon May 4 19:11:44 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 1.29/1.73 % Version : CSE_E---1.7
% 1.29/1.73 % Problem : theBenchmark.p
% 1.29/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.73 % SZS output start CNFRefutation
% See solution above
% 1.29/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------