%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV023-2 : 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 04:28:59 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 22 unt; 5 nHn; 32 RR)
% Number of literals : 61 ( 29 equ; 26 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_43) ).
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_60,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_60) ).
cnf(axiom_77,axiom,
f_ADD_(n0,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_77) ).
cnf(quest_2,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_1,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
cnf(quest_4,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_3,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_64,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_64) ).
cnf(axiom_62,axiom,
( def_89(X1,X2)
| f_ADD_(X3,X1) = X2
| f_SUB_(X2,X1) != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_62) ).
cnf(axiom_76,axiom,
( X1 = X2
| f_ADD_(X1,n1) != f_ADD_(X2,n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_76) ).
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(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_13,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_14,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
axiom_5 ).
cnf(c_0_15,axiom,
~ p_LES_EQU_(f_ADD_(X1,n1),n0),
axiom_60 ).
cnf(c_0_16,axiom,
f_ADD_(n0,X1) = X1,
axiom_77 ).
cnf(c_0_17,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_13,c_0_14]),c_0_14]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
quest_2 ).
cnf(c_0_19,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
quest_1 ).
cnf(c_0_20,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
quest_4 ).
cnf(c_0_21,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
quest_3 ).
cnf(c_0_22,plain,
~ p_LES_EQU_(n1,n0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,axiom,
( X1 != X2
| ~ def_89(X2,X1) ),
axiom_64 ).
cnf(c_0_24,axiom,
( def_89(X1,X2)
| f_ADD_(X3,X1) = X2
| f_SUB_(X2,X1) != X3 ),
axiom_62 ).
cnf(c_0_25,negated_conjecture,
f_SUB_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).
cnf(c_0_26,plain,
~ def_89(X1,X1),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_27,axiom,
( X1 = X2
| f_ADD_(X1,n1) != f_ADD_(X2,n1) ),
axiom_76 ).
cnf(c_0_28,negated_conjecture,
( f_ADD_(X1,n1) = n1
| fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
axiom_8 ).
cnf(c_0_30,plain,
( X1 = n0
| f_ADD_(X1,n1) != n1 ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_31,negated_conjecture,
f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n1) = n1,
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
| fwork_DOTfifo_DOTrtl_DOTlevel_(X1) != n0 ),
inference(rw,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_33,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) = n0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
quest_5 ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV023-2 : 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 19:12:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------