%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV021-2 : 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 : n029.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 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 13 unt; 8 nHn; 26 RR)
% Number of literals : 66 ( 8 equ; 33 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 : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_34,axiom,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_34) ).
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_46,axiom,
( 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__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_46) ).
cnf(axiom_14,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_14) ).
cnf(quest_3,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_1,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
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_68,axiom,
( X1 = X2
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| ~ p_LES_EQU_(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_68) ).
cnf(axiom_60,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
cnf(quest_4,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(c_0_10,axiom,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
axiom_34 ).
cnf(c_0_11,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_12,axiom,
( 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__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
axiom_46 ).
cnf(c_0_13,plain,
( 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))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))) ),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
axiom_14 ).
cnf(c_0_15,plain,
( 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))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1))) ),
inference(rw,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
inference(csr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(X1),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_3 ).
cnf(c_0_19,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
quest_1 ).
cnf(c_0_20,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
axiom_8 ).
cnf(c_0_21,axiom,
( X1 = X2
| p_LES_EQU_(f_ADD_(X2,n1),X1)
| ~ p_LES_EQU_(X2,X1) ),
axiom_68 ).
cnf(c_0_22,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_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
axiom_60 ).
cnf(c_0_24,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X1) != n0 ),
inference(rw,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_25,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
quest_4 ).
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
% 0.00/0.12 % Problem : HWV021-2 : 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 : n029.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 19:11:44 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------