%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV033-1 : 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 : n005.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 04:29:02 PM UTC 2026
% Result : Unsatisfiable 15.53s 9.90s
% Output : CNFRefutation 15.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of clauses : 164 ( 33 unt; 67 nHn; 140 RR)
% Number of literals : 418 ( 138 equ; 172 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 150 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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_3,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(axiom_4,axiom,
( plus(X3,X2) = X1
| def_10(X2,X1)
| minus(X1,X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_4) ).
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_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(axiom_6,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
cnf(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
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_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(axiom_7,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
cnf(axiom_57,axiom,
( p_Reset(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| rd_level(plus(X1,n1)) = n0
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_57) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_60,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_60) ).
cnf(axiom_81,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_81) ).
cnf(axiom_33,axiom,
( p_Reset(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Wr(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_33) ).
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_12,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_12) ).
cnf(axiom_75,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| rd_level(plus(X1,n1)) = n0
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_75) ).
cnf(axiom_28,axiom,
( rd_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_28) ).
cnf(axiom_77,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Rd(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_77) ).
cnf(quest_1,negated_conjecture,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_16,axiom,
( X1 = n0
| X1 = plus(y_27(X1),n1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_16) ).
cnf(quest_2,negated_conjecture,
gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_74,axiom,
( p_Reset(X1)
| p_Wr(X1)
| rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_74) ).
cnf(axiom_56,axiom,
( p_Reset(X1)
| rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_56) ).
cnf(c_0_30,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_31,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_32,axiom,
( plus(X2,n1) = X1
| gt(X1,plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_14 ).
cnf(c_0_33,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
axiom_3 ).
cnf(c_0_34,axiom,
( plus(X3,X2) = X1
| def_10(X2,X1)
| minus(X1,X2) != X3 ),
axiom_4 ).
cnf(c_0_35,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
axiom_10 ).
cnf(c_0_36,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_37,plain,
( gt(plus(X1,n1),n1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( plus(minus(X1,n1),n1) = X1
| gt(X1,plus(minus(X1,n1),n1))
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
gt(fifo_length,n0),
quest_3 ).
cnf(c_0_40,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
axiom_6 ).
cnf(c_0_41,plain,
( plus(minus(X1,X2),X2) = X1
| def_10(X2,X1) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_42,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_43,plain,
( n0 = X1
| gt(n0,X1)
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_31]) ).
cnf(c_0_44,plain,
( gt(n1,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_45,axiom,
plus(X1,n1) != n0,
axiom_1 ).
cnf(c_0_46,plain,
( gt(X1,n1)
| ~ gt(X1,plus(X2,n1))
| ~ gt(X2,n0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = fifo_length
| gt(fifo_length,plus(minus(fifo_length,n1),n1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( plus(minus(X1,X2),X2) = X1
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( gt(X1,n0)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_50,plain,
( gt(n0,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_51,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_52,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
axiom_9 ).
cnf(c_0_53,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_54,axiom,
( ~ def_10(X1,X2)
| X2 != X1 ),
axiom_7 ).
cnf(c_0_55,axiom,
( p_Reset(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| rd_level(plus(X1,n1)) = n0
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_57 ).
cnf(c_0_56,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_57,axiom,
( p_Reset(X1)
| gt(int_level(X1),n0)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
axiom_60 ).
cnf(c_0_58,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1) ),
axiom_81 ).
cnf(c_0_59,axiom,
( p_Reset(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Wr(X1) ),
axiom_33 ).
cnf(c_0_60,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
axiom_18 ).
cnf(c_0_61,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = fifo_length
| ~ gt(minus(fifo_length,n1),n0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_62,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
axiom_12 ).
cnf(c_0_63,plain,
~ gt(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_64,plain,
( gt(X1,n0)
| ~ gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_65,plain,
( X1 = n0
| n1 = X1
| gt(X1,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_31]),c_0_31]) ).
cnf(c_0_66,plain,
~ def_10(X1,X1),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_67,plain,
gt(n1,n0),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_68,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| rd_level(plus(X1,n1)) = n0
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0) ),
axiom_75 ).
cnf(c_0_69,plain,
( rd_level(plus(X1,n1)) = n0
| p_Reset(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_70,axiom,
( rd_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
axiom_28 ).
cnf(c_0_71,axiom,
( p_Reset(X1)
| p_Wr(X1)
| gt(int_level(X1),n0)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Rd(X1) ),
axiom_77 ).
cnf(c_0_72,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Reset(X1)
| gt(level(X1),n0)
| ~ p_Wr(X1)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_73,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Rd(X1)
| p_Reset(X1) ),
inference(csr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_74,plain,
( X1 = n0
| plus(X1,n1) != n1 ),
inference(spm,[status(thm)],[c_0_60,c_0_31]) ).
cnf(c_0_75,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = fifo_length
| minus(fifo_length,n1) = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_76,plain,
( plus(X1,n1) = n1
| gt(X1,n0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_45]) ).
cnf(c_0_77,plain,
plus(minus(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_66,c_0_41]) ).
cnf(c_0_78,plain,
minus(n1,n1) = n0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_33]),c_0_67])]),c_0_63]) ).
cnf(c_0_79,plain,
( gt(plus(X1,n1),X2)
| ~ gt(X1,minus(X2,n1))
| ~ gt(X2,n1) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_80,plain,
( gt(X1,n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_81,plain,
( rd_level(plus(X1,n1)) = n0
| p_Reset(X1)
| p_Wr(X1)
| gt(minus(fifo_length,n1),rd_level(X1))
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(rw,[status(thm)],[c_0_68,c_0_56]) ).
cnf(c_0_82,plain,
( rd_level(plus(X1,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X1))
| ~ p_Rd(X1)
| ~ p_Wr(X1)
| ~ gt(level(X1),n0) ),
inference(csr,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Reset(X1)
| p_Wr(X1)
| gt(level(X1),n0)
| ~ p_Rd(X1) ),
inference(rw,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_84,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Reset(X1)
| gt(level(X1),n0)
| ~ p_Wr(X1) ),
inference(csr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,negated_conjecture,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
quest_1 ).
cnf(c_0_86,negated_conjecture,
( minus(fifo_length,n1) = n0
| fifo_length != n1 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_87,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = n1
| plus(minus(fifo_length,n1),n1) = fifo_length ),
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_88,plain,
~ gt(n1,plus(X1,n1)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_77]),c_0_78]),c_0_63]) ).
cnf(c_0_89,axiom,
( X1 = n0
| X1 = plus(y_27(X1),n1) ),
axiom_16 ).
cnf(c_0_90,plain,
( gt(plus(X1,n1),X1)
| ~ gt(X1,n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_33]),c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( fifo_length = n1
| gt(fifo_length,n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_39]),c_0_31]),c_0_31]) ).
cnf(c_0_92,plain,
( rd_level(plus(X1,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X1))
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_81,c_0_70]),c_0_82]) ).
cnf(c_0_93,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Reset(X1)
| gt(level(X1),n0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_83,c_0_73]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( fifo_length != n1
| ~ gt(rd_level(t_139),n0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = n1
| fifo_length != n1 ),
inference(ef,[status(thm)],[c_0_87]) ).
cnf(c_0_96,plain,
( X1 = n0
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,plain,
( gt(X1,minus(X2,n1))
| ~ gt(plus(X1,n1),X2)
| ~ gt(X2,n1) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_98,plain,
( gt(plus(X1,n1),X1)
| ~ gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_52,c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( fifo_length = n1
| gt(X1,n1)
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_36,c_0_91]) ).
cnf(c_0_100,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| rd_level(plus(X1,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_73]),c_0_70]) ).
cnf(c_0_101,negated_conjecture,
( rd_level(t_139) = n0
| fifo_length != n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_62]),c_0_63]) ).
cnf(c_0_102,negated_conjecture,
( fifo_length != n1
| ~ gt(minus(fifo_length,n1),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_95]),c_0_88]) ).
cnf(c_0_103,negated_conjecture,
gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
quest_2 ).
cnf(c_0_104,plain,
( gt(minus(X1,n1),n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_105,plain,
( minus(X1,n1) = n0
| ~ gt(plus(n1,n1),X1)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,plain,
( gt(plus(X1,n1),X1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_98,c_0_37]) ).
cnf(c_0_107,negated_conjecture,
( fifo_length = n1
| gt(plus(fifo_length,n1),n1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_90]),c_0_91]) ).
cnf(c_0_108,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| fifo_length != n1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( gt(X1,minus(fifo_length,n1))
| ~ gt(X1,rd_level(plus(t_139,n1))) ),
inference(spm,[status(thm)],[c_0_36,c_0_103]) ).
cnf(c_0_110,plain,
( ~ gt(plus(n1,n1),X1)
| ~ gt(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_63]) ).
cnf(c_0_111,plain,
gt(plus(X1,n1),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_106]),c_0_42])]) ).
cnf(c_0_112,negated_conjecture,
( fifo_length = n1
| gt(plus(fifo_length,n1),plus(n1,n1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_107]),c_0_60]) ).
cnf(c_0_113,negated_conjecture,
fifo_length != n1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_108]),c_0_63]) ).
cnf(c_0_114,negated_conjecture,
~ gt(rd_level(t_139),rd_level(plus(t_139,n1))),
inference(spm,[status(thm)],[c_0_85,c_0_109]) ).
cnf(c_0_115,plain,
( ~ gt(plus(plus(n1,n1),n1),X1)
| ~ gt(minus(X1,n1),n1)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_110,c_0_97]) ).
cnf(c_0_116,plain,
( gt(minus(X1,n1),X2)
| ~ gt(X1,plus(X2,n1))
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_117,plain,
( gt(X1,X2)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
gt(plus(fifo_length,n1),plus(n1,n1)),
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
( ~ p_Reset(t_139)
| ~ gt(rd_level(t_139),n0) ),
inference(spm,[status(thm)],[c_0_114,c_0_70]) ).
cnf(c_0_120,axiom,
( p_Reset(X1)
| p_Wr(X1)
| rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
axiom_74 ).
cnf(c_0_121,axiom,
( p_Reset(X1)
| rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(int_level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
axiom_56 ).
cnf(c_0_122,plain,
( ~ gt(plus(plus(n1,n1),n1),X1)
| ~ gt(X1,plus(n1,n1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( gt(X1,plus(n1,n1))
| ~ gt(X1,plus(fifo_length,n1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( rd_level(t_139) = n0
| ~ p_Reset(t_139) ),
inference(spm,[status(thm)],[c_0_119,c_0_53]) ).
cnf(c_0_125,negated_conjecture,
( gt(n0,minus(fifo_length,n1))
| ~ p_Reset(t_139) ),
inference(spm,[status(thm)],[c_0_103,c_0_70]) ).
cnf(c_0_126,plain,
( rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| p_Reset(X1)
| p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
inference(rw,[status(thm)],[c_0_120,c_0_56]) ).
cnf(c_0_127,plain,
( rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| p_Reset(X1)
| ~ p_Wr(X1)
| ~ p_Rd(X1)
| ~ gt(level(X1),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X1)) ),
inference(rw,[status(thm)],[c_0_121,c_0_56]) ).
cnf(c_0_128,plain,
( ~ gt(plus(X1,n1),plus(n1,n1))
| ~ gt(plus(n1,n1),X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_30]) ).
cnf(c_0_129,negated_conjecture,
( gt(plus(X1,n1),plus(n1,n1))
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_123,c_0_30]) ).
cnf(c_0_130,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = rd_level(plus(t_139,n1))
| gt(rd_level(plus(t_139,n1)),plus(minus(fifo_length,n1),n1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_103]) ).
cnf(c_0_131,negated_conjecture,
~ p_Reset(t_139),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_124]),c_0_125]) ).
cnf(c_0_132,plain,
( y_27(X1) = X2
| X1 = n0
| gt(y_27(X1),X2)
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_89]) ).
cnf(c_0_133,plain,
( rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| p_Reset(X1)
| ~ p_Rd(X1)
| ~ gt(minus(fifo_length,n1),rd_level(X1))
| ~ gt(level(X1),n0) ),
inference(csr,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( ~ gt(plus(n1,n1),X1)
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
gt(plus(fifo_length,n1),n1),
inference(sr,[status(thm)],[c_0_107,c_0_113]) ).
cnf(c_0_136,negated_conjecture,
( rd_level(plus(t_139,n1)) = fifo_length
| gt(rd_level(plus(t_139,n1)),fifo_length)
| ~ gt(fifo_length,n1) ),
inference(spm,[status(thm)],[c_0_130,c_0_48]) ).
cnf(c_0_137,plain,
( rd_level(plus(X1,n1)) = n0
| level(X1) = n0
| gt(minus(fifo_length,n1),rd_level(X1))
| ~ p_Rd(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_62]),c_0_63]) ).
cnf(c_0_138,negated_conjecture,
p_Rd(t_139),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_73]),c_0_85]),c_0_131]) ).
cnf(c_0_139,negated_conjecture,
( y_27(rd_level(plus(t_139,n1))) = minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) = n0
| gt(y_27(rd_level(plus(t_139,n1))),minus(fifo_length,n1)) ),
inference(spm,[status(thm)],[c_0_132,c_0_103]) ).
cnf(c_0_140,plain,
( rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| rd_level(plus(X1,n1)) = rd_level(X1)
| rd_level(plus(X1,n1)) = n0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_100]),c_0_93]),c_0_73]),c_0_70]) ).
cnf(c_0_141,plain,
y_27(plus(X1,n1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_89])]),c_0_45]) ).
cnf(c_0_142,negated_conjecture,
( minus(fifo_length,n1) = n0
| fifo_length != n0 ),
inference(spm,[status(thm)],[c_0_45,c_0_75]) ).
cnf(c_0_143,negated_conjecture,
( ~ gt(plus(plus(n1,n1),n1),X1)
| ~ gt(minus(X1,n1),fifo_length)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_134,c_0_97]) ).
cnf(c_0_144,negated_conjecture,
( gt(X1,n1)
| ~ gt(X1,plus(fifo_length,n1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_135]) ).
cnf(c_0_145,negated_conjecture,
( rd_level(plus(t_139,n1)) = fifo_length
| fifo_length = n1
| gt(rd_level(plus(t_139,n1)),fifo_length) ),
inference(spm,[status(thm)],[c_0_136,c_0_91]) ).
cnf(c_0_146,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| level(t_139) = n0
| gt(minus(fifo_length,n1),rd_level(t_139)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,negated_conjecture,
( rd_level(plus(t_139,n1)) = rd_level(t_139)
| rd_level(plus(t_139,n1)) = n0
| minus(fifo_length,n1) = rd_level(t_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_141]),c_0_45]),c_0_85]) ).
cnf(c_0_148,negated_conjecture,
( fifo_length != n0
| ~ gt(rd_level(t_139),n0) ),
inference(spm,[status(thm)],[c_0_85,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( plus(minus(fifo_length,n1),n1) = n1
| fifo_length != n0 ),
inference(spm,[status(thm)],[c_0_45,c_0_87]) ).
cnf(c_0_150,negated_conjecture,
( ~ gt(plus(plus(n1,n1),n1),X1)
| ~ gt(X1,plus(fifo_length,n1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_116]),c_0_144]) ).
cnf(c_0_151,plain,
( gt(plus(X1,n1),X2)
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_30]) ).
cnf(c_0_152,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(fifo_length,n1)
| rd_level(plus(t_139,n1)) = fifo_length
| fifo_length = n1
| gt(rd_level(plus(t_139,n1)),plus(fifo_length,n1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_145]) ).
cnf(c_0_153,negated_conjecture,
( rd_level(plus(t_139,n1)) = rd_level(t_139)
| rd_level(plus(t_139,n1)) = n0
| level(t_139) = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_51]) ).
cnf(c_0_154,negated_conjecture,
( rd_level(t_139) = n0
| fifo_length != n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_62]),c_0_63]) ).
cnf(c_0_155,negated_conjecture,
( fifo_length != n0
| ~ gt(minus(fifo_length,n1),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_149]),c_0_88]) ).
cnf(c_0_156,negated_conjecture,
( ~ gt(X1,plus(fifo_length,n1))
| ~ gt(plus(n1,n1),X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(fifo_length,n1)
| rd_level(plus(t_139,n1)) = fifo_length
| gt(rd_level(plus(t_139,n1)),plus(fifo_length,n1)) ),
inference(sr,[status(thm)],[c_0_152,c_0_113]) ).
cnf(c_0_158,negated_conjecture,
( rd_level(plus(t_139,n1)) = rd_level(t_139)
| rd_level(plus(t_139,n1)) = n0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_153]),c_0_131]),c_0_63]) ).
cnf(c_0_159,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| fifo_length != n0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_154]),c_0_155]) ).
cnf(c_0_160,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(fifo_length,n1)
| rd_level(plus(t_139,n1)) = fifo_length
| ~ gt(plus(n1,n1),rd_level(plus(t_139,n1))) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
rd_level(plus(t_139,n1)) = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_158]),c_0_85]) ).
cnf(c_0_162,negated_conjecture,
fifo_length != n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_159]),c_0_63]) ).
cnf(c_0_163,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161]),c_0_161]),c_0_161]),c_0_42])]),c_0_45]),c_0_162]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV033-1 : 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
% 0.15/0.33 % Computer : n005.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 19:23:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 15.53/9.90 % Version : CSE_E---1.7
% 15.53/9.90 % Problem : theBenchmark.p
% 15.53/9.90 % SZS status Unsatisfiable for theBenchmark.p
% 15.53/9.90 % SZS output start CNFRefutation
% See solution above
% 15.53/9.96 % Total time : 7.380s
%------------------------------------------------------------------------------