TSTP Solution File: HWV033-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 : Thu Aug 31 02:00:13 EDT 2023
% Result : Unsatisfiable 0.67s 0.80s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 51
% Syntax : Number of formulae : 177 ( 33 unt; 23 typ; 0 def)
% Number of atoms : 410 ( 131 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 419 ( 163 ~; 256 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 19 >; 8 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 139 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
n1: $i ).
tff(decl_23,type,
plus: ( $i * $i ) > $i ).
tff(decl_24,type,
n0: $i ).
tff(decl_25,type,
gt: ( $i * $i ) > $o ).
tff(decl_26,type,
minus: ( $i * $i ) > $i ).
tff(decl_27,type,
def_10: ( $i * $i ) > $o ).
tff(decl_28,type,
y_27: $i > $i ).
tff(decl_29,type,
level: $i > $i ).
tff(decl_30,type,
int_level: $i > $i ).
tff(decl_31,type,
fifo_length: $i ).
tff(decl_32,type,
p_Full: $i > $o ).
tff(decl_33,type,
p_Empty: $i > $o ).
tff(decl_34,type,
p_Reset: $i > $o ).
tff(decl_35,type,
wr_level: $i > $i ).
tff(decl_36,type,
rd_level: $i > $i ).
tff(decl_37,type,
p_Wr_error: $i > $o ).
tff(decl_38,type,
p_Rd_error: $i > $o ).
tff(decl_39,type,
p_Mem: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
p_Data_out: ( $i * $i ) > $o ).
tff(decl_41,type,
p_Wr: $i > $o ).
tff(decl_42,type,
p_Rd: $i > $o ).
tff(decl_43,type,
p_Data_in: ( $i * $i ) > $o ).
tff(decl_44,type,
t_139: $i ).
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(axiom_2,axiom,
gt(plus(X1,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
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_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_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(axiom_12,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_12) ).
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(quest_1,negated_conjecture,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
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_28,axiom,
( rd_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_28) ).
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_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
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_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(quest_3,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
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_15,axiom,
( X1 = n0
| gt(X1,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
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(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_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_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_6,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
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_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_28,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
axiom_13 ).
cnf(c_0_29,axiom,
gt(plus(X1,n1),n0),
axiom_2 ).
cnf(c_0_30,axiom,
( gt(X1,X2)
| X2 = X1
| ~ gt(plus(X1,n1),X2) ),
axiom_10 ).
cnf(c_0_31,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_32,plain,
( gt(X1,n0)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( n0 = X1
| gt(n0,X1)
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,axiom,
~ gt(X1,X1),
axiom_17 ).
cnf(c_0_35,axiom,
plus(X1,n1) != n0,
axiom_1 ).
cnf(c_0_36,plain,
~ gt(n1,plus(X1,n1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_37,axiom,
( X1 = n0
| X1 = plus(y_27(X1),n1) ),
axiom_16 ).
cnf(c_0_38,plain,
( X1 = n0
| ~ gt(n1,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,axiom,
( gt(X1,X2)
| X2 = X1
| gt(X2,X1) ),
axiom_12 ).
cnf(c_0_40,negated_conjecture,
gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
quest_2 ).
cnf(c_0_41,plain,
( X1 = n1
| X1 = n0
| gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
quest_1 ).
cnf(c_0_43,negated_conjecture,
( gt(X1,minus(fifo_length,n1))
| ~ gt(X1,rd_level(plus(t_139,n1))) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_44,plain,
( X1 = n0
| X1 = n1
| gt(X2,n1)
| ~ gt(X2,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_45,axiom,
( gt(X1,minus(X1,n1))
| ~ gt(X1,n0) ),
axiom_3 ).
cnf(c_0_46,negated_conjecture,
~ gt(rd_level(t_139),rd_level(plus(t_139,n1))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,axiom,
( rd_level(plus(X1,n1)) = n0
| ~ p_Reset(X1) ),
axiom_28 ).
cnf(c_0_48,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_49,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_50,axiom,
( p_Reset(X1)
| p_Wr(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1) ),
axiom_81 ).
cnf(c_0_51,axiom,
( p_Reset(X1)
| p_Rd(X1)
| rd_level(plus(X1,n1)) = rd_level(X1)
| ~ p_Wr(X1) ),
axiom_33 ).
cnf(c_0_52,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_53,plain,
( minus(X1,n1) = n1
| minus(X1,n1) = n0
| gt(X1,n1)
| ~ gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,negated_conjecture,
gt(fifo_length,n0),
quest_3 ).
cnf(c_0_55,axiom,
( gt(plus(X1,n1),plus(X2,n1))
| ~ gt(X1,X2) ),
axiom_8 ).
cnf(c_0_56,negated_conjecture,
( ~ p_Reset(t_139)
| ~ gt(rd_level(t_139),n0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,axiom,
( X1 = n0
| gt(X1,n0) ),
axiom_15 ).
cnf(c_0_58,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_59,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_48,c_0_49]) ).
cnf(c_0_60,plain,
( rd_level(plus(X1,n1)) = rd_level(X1)
| p_Rd(X1)
| p_Reset(X1) ),
inference(csr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,axiom,
( plus(X3,X2) = X1
| def_10(X2,X1)
| minus(X1,X2) != X3 ),
axiom_4 ).
cnf(c_0_62,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_63,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_52,c_0_49]) ).
cnf(c_0_64,negated_conjecture,
( minus(fifo_length,n1) = n1
| gt(fifo_length,n1)
| ~ gt(rd_level(t_139),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_54])]) ).
cnf(c_0_65,plain,
( gt(n1,plus(X1,n1))
| ~ gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_66,negated_conjecture,
( rd_level(t_139) = n0
| ~ p_Reset(t_139) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( gt(n0,minus(fifo_length,n1))
| ~ p_Reset(t_139) ),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_68,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_58,c_0_49]) ).
cnf(c_0_69,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_59,c_0_60]) ).
cnf(c_0_70,axiom,
( gt(X1,X2)
| ~ gt(plus(X1,n1),plus(X2,n1)) ),
axiom_9 ).
cnf(c_0_71,axiom,
( ~ def_10(X1,X2)
| ~ gt(X2,X1) ),
axiom_6 ).
cnf(c_0_72,plain,
( plus(minus(X1,X2),X2) = X1
| def_10(X2,X1) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_73,axiom,
( X1 = X2
| plus(X1,n1) != plus(X2,n1) ),
axiom_18 ).
cnf(c_0_74,plain,
( X1 = n0
| gt(X1,plus(X2,n1))
| ~ gt(y_27(X1),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_37]) ).
cnf(c_0_75,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_62,c_0_49]) ).
cnf(c_0_76,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_63,c_0_47]) ).
cnf(c_0_77,negated_conjecture,
( gt(fifo_length,n1)
| ~ gt(rd_level(t_139),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_64]),c_0_54])]) ).
cnf(c_0_78,plain,
~ gt(n0,X1),
inference(spm,[status(thm)],[c_0_36,c_0_65]) ).
cnf(c_0_79,negated_conjecture,
~ p_Reset(t_139),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_66]),c_0_67]) ).
cnf(c_0_80,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_68,c_0_60]),c_0_69]) ).
cnf(c_0_81,plain,
( gt(X1,n0)
| ~ gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_82,plain,
( plus(minus(X1,X2),X2) = X1
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_83,plain,
( X1 = n0
| gt(y_27(X1),X2)
| ~ gt(X1,plus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_37]) ).
cnf(c_0_84,plain,
y_27(plus(X1,n1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_37])]),c_0_35]) ).
cnf(c_0_85,plain,
( y_27(X1) = n0
| X1 = n0
| gt(X1,n1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_57]),c_0_31]) ).
cnf(c_0_86,plain,
( gt(X1,minus(X2,n1))
| ~ gt(X2,n0)
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_45]) ).
cnf(c_0_87,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_75,c_0_47]),c_0_76]) ).
cnf(c_0_88,negated_conjecture,
( rd_level(t_139) = n0
| gt(fifo_length,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_39]),c_0_78]) ).
cnf(c_0_89,negated_conjecture,
p_Rd(t_139),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_60]),c_0_42]),c_0_79]) ).
cnf(c_0_90,negated_conjecture,
gt(level(t_139),n0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_80]),c_0_42]),c_0_79]) ).
cnf(c_0_91,plain,
( gt(minus(X1,n1),n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( X1 = n0
| ~ gt(X1,plus(y_27(X1),n1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_83]) ).
cnf(c_0_93,plain,
( y_27(X1) = minus(X1,n1)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_84,c_0_82]) ).
cnf(c_0_94,plain,
( X1 = n0
| gt(X1,n1)
| ~ gt(X1,plus(X2,n1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_85]),c_0_78]) ).
cnf(c_0_95,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_96,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_97,plain,
( X1 = n0
| gt(X2,y_27(X1))
| ~ gt(plus(X2,n1),X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_37]) ).
cnf(c_0_98,negated_conjecture,
~ gt(rd_level(t_139),fifo_length),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_86]),c_0_54])]) ).
cnf(c_0_99,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| gt(minus(fifo_length,n1),n0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90])]),c_0_91]) ).
cnf(c_0_100,plain,
( X1 = n0
| ~ gt(X1,plus(minus(X1,n1),n1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_101,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_95,c_0_49]) ).
cnf(c_0_102,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_96,c_0_49]) ).
cnf(c_0_103,plain,
( X1 = n0
| gt(y_27(X1),n0)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_81,c_0_37]) ).
cnf(c_0_104,plain,
( y_27(X1) = n0
| X1 = n0
| ~ gt(plus(n1,n1),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
( rd_level(t_139) = fifo_length
| gt(fifo_length,rd_level(t_139)) ),
inference(spm,[status(thm)],[c_0_98,c_0_39]) ).
cnf(c_0_106,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| minus(fifo_length,n1) = n1
| gt(fifo_length,n1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_53]),c_0_54])]),c_0_34]) ).
cnf(c_0_107,plain,
( minus(plus(X1,n1),n1) = X1
| gt(X1,minus(plus(X1,n1),n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_29])]) ).
cnf(c_0_108,plain,
~ gt(X1,minus(plus(X1,n1),n1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_55]),c_0_35]) ).
cnf(c_0_109,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_101,c_0_102]) ).
cnf(c_0_110,plain,
( X1 = n0
| ~ gt(plus(n1,n1),X1)
| ~ gt(X1,n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_34]) ).
cnf(c_0_111,negated_conjecture,
( rd_level(t_139) = fifo_length
| gt(X1,rd_level(t_139))
| ~ gt(X1,fifo_length) ),
inference(spm,[status(thm)],[c_0_28,c_0_105]) ).
cnf(c_0_112,plain,
( gt(plus(X1,n1),X2)
| ~ gt(X1,minus(X2,n1))
| ~ gt(X2,n1) ),
inference(spm,[status(thm)],[c_0_55,c_0_82]) ).
cnf(c_0_113,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| gt(fifo_length,n1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_106]),c_0_54])]) ).
cnf(c_0_114,plain,
minus(plus(X1,n1),n1) = X1,
inference(sr,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,plain,
( gt(minus(X1,n1),X2)
| ~ gt(X1,plus(X2,n1))
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_116,plain,
( rd_level(plus(X1,n1)) = plus(rd_level(X1),n1)
| rd_level(X1) = minus(fifo_length,n1)
| p_Reset(X1)
| gt(rd_level(X1),minus(fifo_length,n1))
| ~ p_Rd(X1)
| ~ gt(level(X1),n0) ),
inference(spm,[status(thm)],[c_0_109,c_0_39]) ).
cnf(c_0_117,negated_conjecture,
( rd_level(t_139) = fifo_length
| rd_level(t_139) = n0
| ~ gt(plus(n1,n1),fifo_length)
| ~ gt(rd_level(t_139),n1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( gt(plus(rd_level(plus(t_139,n1)),n1),fifo_length)
| ~ gt(fifo_length,n1) ),
inference(spm,[status(thm)],[c_0_112,c_0_40]) ).
cnf(c_0_119,negated_conjecture,
gt(fifo_length,n1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_113]),c_0_78]) ).
cnf(c_0_120,plain,
( y_27(X1) = minus(X1,n1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_114,c_0_37]) ).
cnf(c_0_121,plain,
( gt(X1,minus(X2,n1))
| ~ gt(plus(X1,n1),X2)
| ~ gt(X2,n1) ),
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_122,plain,
( ~ gt(X1,plus(minus(X1,n1),n1))
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_34,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| minus(fifo_length,n1) = rd_level(t_139) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_116]),c_0_89]),c_0_90])]),c_0_79]) ).
cnf(c_0_124,negated_conjecture,
( rd_level(t_139) = n1
| rd_level(t_139) = n0
| rd_level(t_139) = fifo_length
| ~ gt(plus(n1,n1),fifo_length) ),
inference(spm,[status(thm)],[c_0_117,c_0_41]) ).
cnf(c_0_125,plain,
( X1 = n0
| ~ gt(plus(y_27(X1),n1),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_97]) ).
cnf(c_0_126,negated_conjecture,
gt(plus(rd_level(plus(t_139,n1)),n1),fifo_length),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
cnf(c_0_127,plain,
( plus(minus(X1,n1),n1) = X1
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_37,c_0_120]) ).
cnf(c_0_128,negated_conjecture,
( ~ gt(plus(rd_level(t_139),n1),fifo_length)
| ~ gt(fifo_length,n1) ),
inference(spm,[status(thm)],[c_0_42,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
~ gt(minus(fifo_length,n1),rd_level(plus(t_139,n1))),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_130,plain,
( minus(X1,n1) = X2
| gt(minus(X1,n1),X2)
| ~ gt(X1,n1)
| ~ gt(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_82]) ).
cnf(c_0_131,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ gt(fifo_length,plus(rd_level(t_139),n1))
| ~ gt(fifo_length,n1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
( rd_level(t_139) = n0
| rd_level(t_139) = n1
| ~ gt(fifo_length,minus(fifo_length,n1))
| ~ gt(plus(n1,n1),fifo_length) ),
inference(spm,[status(thm)],[c_0_42,c_0_124]) ).
cnf(c_0_133,plain,
( X1 = n0
| ~ gt(plus(minus(X1,n1),n1),X1)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_125,c_0_93]) ).
cnf(c_0_134,negated_conjecture,
( rd_level(plus(t_139,n1)) = fifo_length
| gt(rd_level(plus(t_139,n1)),fifo_length) ),
inference(spm,[status(thm)],[c_0_30,c_0_126]) ).
cnf(c_0_135,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| plus(rd_level(t_139),n1) = fifo_length
| fifo_length = n0 ),
inference(spm,[status(thm)],[c_0_127,c_0_123]) ).
cnf(c_0_136,negated_conjecture,
~ gt(plus(rd_level(t_139),n1),fifo_length),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_119])]) ).
cnf(c_0_137,negated_conjecture,
( minus(fifo_length,n1) = rd_level(plus(t_139,n1))
| ~ gt(fifo_length,rd_level(plus(t_139,n1)))
| ~ gt(fifo_length,n1) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| ~ gt(fifo_length,plus(rd_level(t_139),n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_119])]) ).
cnf(c_0_139,negated_conjecture,
( rd_level(t_139) = n1
| rd_level(t_139) = n0
| ~ gt(plus(n1,n1),fifo_length) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_45]),c_0_54])]) ).
cnf(c_0_140,plain,
( ~ gt(minus(plus(X1,n1),n1),X1)
| ~ gt(plus(X1,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_55]),c_0_35]) ).
cnf(c_0_141,negated_conjecture,
( plus(rd_level(t_139),n1) = fifo_length
| fifo_length = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_142,negated_conjecture,
( minus(fifo_length,n1) = rd_level(plus(t_139,n1))
| ~ gt(fifo_length,rd_level(plus(t_139,n1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_119])]) ).
cnf(c_0_143,negated_conjecture,
( rd_level(plus(t_139,n1)) = n1
| rd_level(t_139) = n1
| ~ gt(plus(n1,n1),fifo_length) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_31]),c_0_31]),c_0_119])]) ).
cnf(c_0_144,plain,
( X1 = n0
| ~ gt(minus(X1,n1),y_27(X1))
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_140,c_0_37]) ).
cnf(c_0_145,negated_conjecture,
( y_27(fifo_length) = rd_level(t_139)
| fifo_length = n0 ),
inference(spm,[status(thm)],[c_0_84,c_0_141]) ).
cnf(c_0_146,plain,
( ~ gt(plus(minus(X1,n1),n1),X1)
| ~ gt(X1,n1) ),
inference(spm,[status(thm)],[c_0_34,c_0_121]) ).
cnf(c_0_147,negated_conjecture,
( minus(fifo_length,n1) = n1
| rd_level(t_139) = n1
| ~ gt(plus(n1,n1),fifo_length) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_119])]) ).
cnf(c_0_148,negated_conjecture,
( fifo_length = n0
| ~ gt(minus(fifo_length,n1),rd_level(t_139)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_119])]) ).
cnf(c_0_149,negated_conjecture,
( rd_level(t_139) = n1
| ~ gt(plus(n1,n1),fifo_length) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_119])]) ).
cnf(c_0_150,negated_conjecture,
( rd_level(plus(t_139,n1)) = n0
| fifo_length = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_87]),c_0_89]),c_0_90])]) ).
cnf(c_0_151,negated_conjecture,
~ gt(plus(n1,n1),fifo_length),
inference(spm,[status(thm)],[c_0_136,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
fifo_length = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_150]),c_0_78]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 16:46:50 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.60 start to proof: theBenchmark
% 0.67/0.80 % Version : CSE_E---1.5
% 0.67/0.80 % Problem : theBenchmark.p
% 0.67/0.80 % Proof found
% 0.67/0.80 % SZS status Theorem for theBenchmark.p
% 0.67/0.80 % SZS output start Proof
% See solution above
% 0.67/0.81 % Total time : 0.184000 s
% 0.67/0.81 % SZS output end Proof
% 0.67/0.81 % Total time : 0.187000 s
%------------------------------------------------------------------------------