%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV017-1 : 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 : n015.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 1.35s 1.74s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of clauses : 93 ( 28 unt; 31 nHn; 79 RR)
% Number of literals : 237 ( 45 equ; 104 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_8,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_76,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| p_Rd_error(plus(X1,n1))
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_76) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_58,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| p_Rd_error(plus(X1,n1))
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_58) ).
cnf(axiom_52,axiom,
( p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ p_Rd_error(plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_52) ).
cnf(axiom_10,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_10) ).
cnf(axiom_70,axiom,
( p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ p_Rd_error(plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_70) ).
cnf(axiom_30,axiom,
( ~ p_Reset(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_30) ).
cnf(axiom_9,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_9) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(axiom_71,axiom,
( p_Reset(X1)
| p_Wr(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
cnf(quest_2,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(quest_4,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
cnf(quest_3,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_3,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(axiom_23,axiom,
( int_level(X1) = fifo_length
| ~ p_Full(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_23) ).
cnf(axiom_18,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_18) ).
cnf(quest_5,negated_conjecture,
p_Full(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
cnf(quest_1,negated_conjecture,
~ gt(level(t_139),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_78,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_78) ).
cnf(axiom_82,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
cnf(axiom_13,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
cnf(axiom_22,axiom,
( p_Full(X1)
| int_level(X1) != fifo_length ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_22) ).
cnf(axiom_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(quest_6,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_6) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(c_0_28,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_29,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_30,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| p_Rd_error(plus(X1,n1))
| ~ p_Rd(X1) ),
axiom_76 ).
cnf(c_0_31,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_32,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| p_Rd_error(plus(X1,n1))
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
axiom_58 ).
cnf(c_0_33,axiom,
( p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ p_Rd_error(plus(X1,n1)) ),
axiom_52 ).
cnf(c_0_34,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
axiom_10 ).
cnf(c_0_35,plain,
( gt(plus(X1,n1),n1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd_error(plus(X1,n1))
| gt(level(X1),n0)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( p_Reset(X1)
| p_Rd_error(plus(X1,n1))
| gt(level(X1),n0)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_38,axiom,
( p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ p_Rd_error(plus(X1,n1)) ),
axiom_70 ).
cnf(c_0_39,plain,
( p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1))
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_40,axiom,
( ~ p_Reset(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
axiom_30 ).
cnf(c_0_41,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
axiom_9 ).
cnf(c_0_42,plain,
( X1 = n1
| gt(X1,n1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_44,axiom,
( p_Reset(X1)
| p_Wr(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_71 ).
cnf(c_0_45,plain,
( p_Rd_error(plus(X1,n1))
| p_Reset(X1)
| gt(level(X1),n0)
| ~ p_Rd(X1) ),
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,negated_conjecture,
p_Rd(t_139),
quest_2 ).
cnf(c_0_47,negated_conjecture,
~ p_Reset(t_139),
quest_4 ).
cnf(c_0_48,plain,
( p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1))
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_49,plain,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| ~ p_Rd_error(plus(X1,n1))
| ~ gt(level(X1),n0) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
( gt(X1,n0)
| ~ gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_51,plain,
( plus(X1,n1) = n1
| gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
( level(plus(X1,n1)) = minus(level(X1),n1)
| p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_53,negated_conjecture,
( p_Rd_error(plus(t_139,n1))
| gt(level(t_139),n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_54,negated_conjecture,
~ p_Wr(t_139),
quest_3 ).
cnf(c_0_55,plain,
( ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1))
| ~ gt(level(X1),n0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_48,c_0_40]),c_0_49]) ).
cnf(c_0_56,plain,
( plus(X1,n1) = n1
| gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
axiom_3 ).
cnf(c_0_58,negated_conjecture,
( minus(level(t_139),n1) = level(plus(t_139,n1))
| p_Rd_error(plus(t_139,n1)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46])]),c_0_54]),c_0_47]) ).
cnf(c_0_59,axiom,
( int_level(X1) = fifo_length
| ~ p_Full(X1) ),
axiom_23 ).
cnf(c_0_60,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
axiom_18 ).
cnf(c_0_61,plain,
( plus(level(X1),n1) = n1
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( p_Rd_error(plus(t_139,n1))
| gt(level(t_139),level(plus(t_139,n1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_53]) ).
cnf(c_0_63,plain,
( level(X1) = fifo_length
| ~ p_Full(X1) ),
inference(rw,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_64,negated_conjecture,
p_Full(plus(t_139,n1)),
quest_5 ).
cnf(c_0_65,negated_conjecture,
~ gt(level(t_139),fifo_length),
quest_1 ).
cnf(c_0_66,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Rd(X1) ),
axiom_78 ).
cnf(c_0_67,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
axiom_82 ).
cnf(c_0_68,plain,
( level(X1) = X2
| plus(X2,n1) != n1
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
p_Rd_error(plus(t_139,n1)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),c_0_65]) ).
cnf(c_0_70,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_71,plain,
( n0 = X1
| gt(n0,X1)
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_72,plain,
( gt(n1,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_73,axiom,
plus(X1,n1) != n0,
axiom_1 ).
cnf(c_0_74,axiom,
( p_Full(X1)
| int_level(X1) != fifo_length ),
axiom_22 ).
cnf(c_0_75,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_76,negated_conjecture,
gt(fifo_length,n0),
quest_6 ).
cnf(c_0_77,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| p_Wr(X1)
| gt(level(X1),n0)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_31]),c_0_31]),c_0_31]) ).
cnf(c_0_78,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_31]),c_0_31]) ).
cnf(c_0_79,negated_conjecture,
( level(t_139) = X1
| plus(X1,n1) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_46])]) ).
cnf(c_0_80,plain,
( gt(X1,n0)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
cnf(c_0_81,plain,
( gt(n0,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_82,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_83,plain,
( p_Full(X1)
| level(X1) != fifo_length ),
inference(rw,[status(thm)],[c_0_74,c_0_31]) ).
cnf(c_0_84,plain,
( level(X1) = n0
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_75]) ).
cnf(c_0_85,plain,
( ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1))
| ~ p_Full(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_63]),c_0_76])]) ).
cnf(c_0_86,plain,
( level(plus(X1,n1)) = level(X1)
| p_Wr(X1)
| p_Reset(X1)
| gt(level(X1),n0) ),
inference(csr,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
level(t_139) = n0,
inference(spm,[status(thm)],[c_0_79,c_0_29]) ).
cnf(c_0_88,plain,
~ gt(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_89,plain,
( fifo_length != n0
| ~ p_Rd(X1)
| ~ p_Rd_error(plus(X1,n1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_90,negated_conjecture,
level(plus(t_139,n1)) = n0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_54]),c_0_47]),c_0_88]) ).
cnf(c_0_91,negated_conjecture,
fifo_length != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_69]),c_0_46])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_90]),c_0_64])]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV017-1 : 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
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 19:11:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.35/1.74 % Version : CSE_E---1.7
% 1.35/1.74 % Problem : theBenchmark.p
% 1.35/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.35/1.74 % SZS output start CNFRefutation
% See solution above
% 1.35/1.75 % Total time : 1.372s
%------------------------------------------------------------------------------