%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV029-1 : 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 : n010.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 04:29:01 PM UTC 2026
% Result : Unsatisfiable 3.87s 3.14s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 29
% Syntax : Number of clauses : 151 ( 33 unt; 85 nHn; 124 RR)
% Number of literals : 386 ( 147 equ; 111 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_13,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(quest_3,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(quest_2,negated_conjecture,
gt(level(plus(x_139,n1)),fifo_length),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_26,axiom,
( int_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_26) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_82,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(axiom_9,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_9) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_14,axiom,
( plus(X2,n1) = X1
| gt(X1,plus(X2,n1))
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_14) ).
cnf(axiom_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(axiom_35,axiom,
( p_Reset(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_35) ).
cnf(quest_1,negated_conjecture,
~ gt(level(x_139),fifo_length),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_12,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_12) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
cnf(axiom_10,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_10) ).
cnf(axiom_8,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
cnf(axiom_5,axiom,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
cnf(axiom_16,axiom,
( X1 = n0
| X1 = plus(y_27(X1),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_16) ).
cnf(axiom_18,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_18) ).
cnf(axiom_44,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_44) ).
cnf(axiom_6,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
cnf(axiom_3,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_78) ).
cnf(axiom_53,axiom,
( p_Reset(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_53) ).
cnf(axiom_59,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_59) ).
cnf(axiom_7,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
cnf(c_0_29,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_30,negated_conjecture,
gt(fifo_length,n0),
quest_3 ).
cnf(c_0_31,negated_conjecture,
( gt(X1,n0)
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
gt(level(plus(x_139,n1)),fifo_length),
quest_2 ).
cnf(c_0_33,axiom,
( int_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
axiom_26 ).
cnf(c_0_34,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_35,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1) ),
axiom_82 ).
cnf(c_0_36,negated_conjecture,
gt(level(plus(x_139,n1)),n0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_39,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
axiom_9 ).
cnf(c_0_40,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_41,axiom,
( plus(X2,n1) = X1
| gt(X1,plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_14 ).
cnf(c_0_42,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_43,axiom,
( p_Reset(X1)
| p_Rd(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,int_level(X1)) ),
axiom_35 ).
cnf(c_0_44,negated_conjecture,
~ gt(level(x_139),fifo_length),
quest_1 ).
cnf(c_0_45,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
axiom_12 ).
cnf(c_0_46,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_35,c_0_34]),c_0_34]) ).
cnf(c_0_47,negated_conjecture,
~ p_Reset(x_139),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_48,plain,
( gt(X1,n0)
| ~ gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( X1 = n0
| n1 = X1
| gt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_40]),c_0_40]) ).
cnf(c_0_50,axiom,
plus(X1,n1) != n0,
axiom_1 ).
cnf(c_0_51,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
axiom_10 ).
cnf(c_0_52,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_53,plain,
( level(plus(X1,n1)) = plus(level(X1),n1)
| p_Reset(X1)
| p_Rd(X1)
| ~ p_Wr(X1)
| ~ gt(fifo_length,level(X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_54,negated_conjecture,
( level(x_139) = fifo_length
| gt(fifo_length,level(x_139)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( p_Rd(x_139)
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_44]),c_0_47]) ).
cnf(c_0_56,axiom,
( minus(X1,X2) = X3
| def_10(X2,X1)
| plus(X3,X2) != X1 ),
axiom_5 ).
cnf(c_0_57,axiom,
( X1 = n0
| X1 = plus(y_27(X1),n1) ),
axiom_16 ).
cnf(c_0_58,plain,
( plus(X1,n1) = n1
| gt(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_59,plain,
( n0 = X1
| gt(n0,X1)
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_40]) ).
cnf(c_0_60,plain,
( gt(n1,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_61,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
axiom_18 ).
cnf(c_0_62,axiom,
( p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,int_level(X1))
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1) ),
axiom_44 ).
cnf(c_0_63,negated_conjecture,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| level(x_139) = fifo_length
| p_Rd(x_139) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_47]),c_0_55]) ).
cnf(c_0_64,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
axiom_6 ).
cnf(c_0_65,plain,
( minus(plus(X1,X2),X2) = X1
| def_10(X2,plus(X1,X2)) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_66,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
axiom_3 ).
cnf(c_0_67,plain,
( X1 = n0
| gt(X1,plus(X2,n1))
| ~ gt(y_27(X1),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
cnf(c_0_68,plain,
( plus(X1,n1) = n1
| gt(X2,n0)
| ~ gt(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_58]) ).
cnf(c_0_69,plain,
( gt(n0,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_50]) ).
cnf(c_0_70,plain,
( X1 = n0
| plus(X1,n1) != n1 ),
inference(spm,[status(thm)],[c_0_61,c_0_40]) ).
cnf(c_0_71,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_72,plain,
( level(plus(X1,n1)) = level(X1)
| p_Reset(X1)
| p_Rd(X1)
| gt(fifo_length,level(X1))
| ~ p_Wr(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_73,negated_conjecture,
( level(x_139) = fifo_length
| p_Rd(x_139)
| gt(plus(level(x_139),n1),fifo_length) ),
inference(spm,[status(thm)],[c_0_32,c_0_63]) ).
cnf(c_0_74,plain,
( minus(plus(X1,X2),X2) = X1
| ~ gt(plus(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_76,plain,
( gt(X1,minus(X2,n1))
| ~ gt(X2,n0)
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_66]) ).
cnf(c_0_77,plain,
y_27(plus(X1,n1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_57])]),c_0_50]) ).
cnf(c_0_78,plain,
( y_27(X1) = n0
| X1 = n0
| gt(X1,n1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_42]),c_0_40]) ).
cnf(c_0_79,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_80,plain,
( plus(plus(X1,n1),n1) = n1
| ~ gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_38]) ).
cnf(c_0_81,plain,
y_27(n1) = n0,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_57])]),c_0_71]) ).
cnf(c_0_82,plain,
( level(plus(X1,n1)) = level(X1)
| p_Rd(X1)
| p_Reset(X1)
| gt(fifo_length,level(X1)) ),
inference(csr,[status(thm)],[c_0_72,c_0_46]) ).
cnf(c_0_83,negated_conjecture,
( level(x_139) = fifo_length
| p_Rd(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_73]),c_0_44]) ).
cnf(c_0_84,plain,
( gt(plus(X1,n1),X1)
| ~ gt(plus(X1,n1),n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_74]),c_0_75])]) ).
cnf(c_0_85,plain,
( gt(plus(X1,n1),n1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_86,plain,
( ~ gt(minus(X1,n1),X1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_38,c_0_76]) ).
cnf(c_0_87,plain,
( y_27(X1) = minus(X1,n1)
| X1 = n0
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_74,c_0_57]) ).
cnf(c_0_88,plain,
( n0 = X1
| gt(plus(X1,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_50]) ).
cnf(c_0_89,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_79,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_90,plain,
~ gt(n0,X1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_80]),c_0_81]),c_0_50]) ).
cnf(c_0_91,negated_conjecture,
( level(plus(x_139,n1)) = fifo_length
| p_Rd(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_47]),c_0_38]) ).
cnf(c_0_92,plain,
( gt(plus(X1,n1),X1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
( ~ gt(minus(minus(X1,n1),n1),X1)
| ~ gt(minus(X1,n1),n0)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_86,c_0_76]) ).
cnf(c_0_94,plain,
( minus(plus(X1,n1),n1) = X1
| n0 = X1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_77]),c_0_50]) ).
cnf(c_0_95,plain,
( minus(level(X1),n1) = level(plus(X1,n1))
| level(X1) = n0
| p_Wr(X1)
| p_Reset(X1)
| ~ p_Rd(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_45]),c_0_90]) ).
cnf(c_0_96,negated_conjecture,
p_Rd(x_139),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_91]),c_0_38]) ).
cnf(c_0_97,negated_conjecture,
( plus(level(x_139),n1) = fifo_length
| level(x_139) = fifo_length
| gt(fifo_length,plus(level(x_139),n1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_54]) ).
cnf(c_0_98,plain,
gt(plus(X1,n1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_92]),c_0_75])]) ).
cnf(c_0_99,plain,
( n0 = X1
| ~ gt(minus(X1,n1),plus(X1,n1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_75])]),c_0_42]) ).
cnf(c_0_100,negated_conjecture,
( minus(level(x_139),n1) = level(plus(x_139,n1))
| level(x_139) = n0
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_47]) ).
cnf(c_0_101,negated_conjecture,
( plus(level(x_139),n1) = fifo_length
| level(x_139) = fifo_length
| gt(X1,plus(level(x_139),n1))
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_29,c_0_97]) ).
cnf(c_0_102,plain,
( gt(X1,X2)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( level(x_139) = n0
| p_Wr(x_139)
| ~ gt(level(plus(x_139,n1)),plus(level(x_139),n1)) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( plus(level(x_139),n1) = fifo_length
| level(x_139) = fifo_length
| gt(level(plus(x_139,n1)),plus(level(x_139),n1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_32]) ).
cnf(c_0_105,plain,
( X1 = n0
| gt(X2,y_27(X1))
| ~ gt(X2,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_57]) ).
cnf(c_0_106,negated_conjecture,
( plus(level(x_139),n1) = fifo_length
| level(x_139) = fifo_length
| level(x_139) = n0
| p_Wr(x_139) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,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_108,negated_conjecture,
( fifo_length = n0
| gt(level(plus(x_139,n1)),y_27(fifo_length)) ),
inference(spm,[status(thm)],[c_0_105,c_0_32]) ).
cnf(c_0_109,plain,
( y_27(X1) = minus(X1,n1)
| n1 = X1
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_87,c_0_49]) ).
cnf(c_0_110,negated_conjecture,
( level(x_139) = fifo_length
| level(x_139) = n0
| p_Wr(x_139) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_106]),c_0_32])]) ).
cnf(c_0_111,axiom,
( p_Reset(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_53 ).
cnf(c_0_112,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_107,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_113,negated_conjecture,
( fifo_length = n1
| fifo_length = n0
| gt(level(plus(x_139,n1)),minus(fifo_length,n1)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( level(plus(x_139,n1)) = minus(fifo_length,n1)
| level(x_139) = n0
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_110]),c_0_96]),c_0_30])]),c_0_47]) ).
cnf(c_0_115,negated_conjecture,
( level(x_139) = n0
| p_Wr(x_139)
| fifo_length != n0 ),
inference(ef,[status(thm)],[c_0_110]) ).
cnf(c_0_116,plain,
( level(plus(X1,n1)) = level(X1)
| 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_111,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_117,plain,
( level(plus(X1,n1)) = level(X1)
| p_Wr(X1)
| p_Reset(X1)
| gt(level(X1),n0) ),
inference(csr,[status(thm)],[c_0_112,c_0_46]) ).
cnf(c_0_118,negated_conjecture,
( level(x_139) = n0
| fifo_length = n1
| p_Wr(x_139) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_38]),c_0_115]) ).
cnf(c_0_119,plain,
( level(plus(X1,n1)) = level(X1)
| plus(level(X1),n1) = n1
| p_Reset(X1)
| ~ p_Rd(X1)
| ~ p_Wr(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_58]) ).
cnf(c_0_120,negated_conjecture,
( level(plus(x_139,n1)) = n0
| fifo_length = n1
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_47]),c_0_90]) ).
cnf(c_0_121,negated_conjecture,
( level(plus(x_139,n1)) = level(x_139)
| plus(level(x_139),n1) = n1
| ~ p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_96]),c_0_47]) ).
cnf(c_0_122,negated_conjecture,
( fifo_length = n1
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_120]),c_0_90]) ).
cnf(c_0_123,negated_conjecture,
( fifo_length = n1
| gt(fifo_length,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_40]),c_0_40]) ).
cnf(c_0_124,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
axiom_59 ).
cnf(c_0_125,negated_conjecture,
( level(plus(x_139,n1)) = level(x_139)
| plus(level(x_139),n1) = n1
| fifo_length = n1 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( fifo_length = n1
| gt(X1,n1)
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_29,c_0_123]) ).
cnf(c_0_127,plain,
( level(plus(X1,n1)) = plus(level(X1),n1)
| p_Reset(X1)
| gt(level(X1),n0)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_128,negated_conjecture,
( plus(level(x_139),n1) = n1
| fifo_length = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_125]),c_0_44]) ).
cnf(c_0_129,plain,
( X1 = n0
| gt(y_27(X1),n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_48,c_0_57]) ).
cnf(c_0_130,negated_conjecture,
( fifo_length = n1
| gt(level(plus(x_139,n1)),n1) ),
inference(spm,[status(thm)],[c_0_126,c_0_32]) ).
cnf(c_0_131,negated_conjecture,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| gt(level(x_139),n0)
| ~ p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_96]),c_0_47]) ).
cnf(c_0_132,negated_conjecture,
( fifo_length = n1
| ~ gt(level(x_139),n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_128]),c_0_38]) ).
cnf(c_0_133,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
axiom_7 ).
cnf(c_0_134,negated_conjecture,
( level(plus(x_139,n1)) = n0
| fifo_length = n1
| gt(y_27(level(plus(x_139,n1))),n0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| fifo_length = n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_122]),c_0_132]) ).
cnf(c_0_136,plain,
~ def_10(X1,X1),
inference(er,[status(thm)],[c_0_133]) ).
cnf(c_0_137,negated_conjecture,
fifo_length = n1,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_77]),c_0_50]),c_0_132]) ).
cnf(c_0_138,plain,
minus(X1,X1) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( level(plus(x_139,n1)) = n0
| level(x_139) = n0
| p_Wr(x_139) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_137]),c_0_138]) ).
cnf(c_0_140,negated_conjecture,
( level(x_139) = n0
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_139]),c_0_90]) ).
cnf(c_0_141,plain,
( level(plus(X1,n1)) = level(X1)
| level(X1) = n0
| p_Reset(X1)
| ~ p_Rd(X1)
| ~ p_Wr(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_45]),c_0_90]) ).
cnf(c_0_142,negated_conjecture,
( level(plus(x_139,n1)) = n0
| p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_140]),c_0_47]),c_0_90]) ).
cnf(c_0_143,negated_conjecture,
( level(plus(x_139,n1)) = level(x_139)
| level(x_139) = n0
| ~ p_Wr(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_96]),c_0_47]) ).
cnf(c_0_144,negated_conjecture,
p_Wr(x_139),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_142]),c_0_90]) ).
cnf(c_0_145,negated_conjecture,
gt(level(plus(x_139,n1)),n1),
inference(rw,[status(thm)],[c_0_32,c_0_137]) ).
cnf(c_0_146,negated_conjecture,
( level(plus(x_139,n1)) = level(x_139)
| level(x_139) = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]) ).
cnf(c_0_147,negated_conjecture,
~ gt(level(x_139),n1),
inference(rw,[status(thm)],[c_0_44,c_0_137]) ).
cnf(c_0_148,negated_conjecture,
level(x_139) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).
cnf(c_0_149,negated_conjecture,
level(plus(x_139,n1)) = n1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_144])]),c_0_148]),c_0_40]),c_0_148]),c_0_90]) ).
cnf(c_0_150,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_149]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV029-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 19:11:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 3.87/3.14 % Version : CSE_E---1.7
% 3.87/3.14 % Problem : theBenchmark.p
% 3.87/3.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.87/3.14 % SZS output start CNFRefutation
% See solution above
% 3.87/3.15 % Total time : 2.372s
%------------------------------------------------------------------------------