TSTP Solution File: HWV033-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 02:20:08 EDT 2023
% Result : Unsatisfiable 11.27s 2.14s
% Output : CNFRefutation 11.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of clauses : 262 ( 16 unt; 69 nHn; 240 RR)
% Number of literals : 756 ( 333 equ; 418 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 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 : 249 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ gt(rd_level(t_139),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
cnf(c_50,negated_conjecture,
gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
cnf(c_51,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
cnf(c_53,plain,
gt(plus(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
cnf(c_54,plain,
( ~ gt(X0,n0)
| gt(X0,minus(X0,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(c_55,plain,
( minus(X0,X1) != X2
| plus(X2,X1) = X0
| def_10(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_4) ).
cnf(c_56,plain,
( plus(X0,X1) != X2
| minus(X2,X1) = X0
| def_10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
cnf(c_57,plain,
( ~ gt(X0,X1)
| ~ def_10(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_6) ).
cnf(c_58,plain,
( X0 != X1
| ~ def_10(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
cnf(c_59,plain,
( ~ gt(X0,X1)
| gt(plus(X0,n1),plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
cnf(c_60,plain,
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_9) ).
cnf(c_62,plain,
( ~ gt(plus(X0,n1),X1)
| X0 = X1
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_11) ).
cnf(c_63,plain,
( X0 = X1
| gt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_12) ).
cnf(c_64,plain,
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(c_65,plain,
( ~ gt(X0,X1)
| plus(X1,n1) = X0
| gt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_14) ).
cnf(c_66,plain,
( X0 = n0
| gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(c_67,plain,
( plus(y_27(X0),n1) = X0
| X0 = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_16) ).
cnf(c_68,plain,
~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(c_71,plain,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_20) ).
cnf(c_79,plain,
( ~ p_Reset(X0)
| rd_level(plus(X0,n1)) = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_28) ).
cnf(c_84,plain,
( ~ p_Wr(X0)
| rd_level(plus(X0,n1)) = rd_level(X0)
| p_Reset(X0)
| p_Rd(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_33) ).
cnf(c_107,plain,
( ~ gt(minus(fifo_length,n1),rd_level(X0))
| ~ gt(int_level(X0),n0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_56) ).
cnf(c_108,plain,
( ~ gt(int_level(X0),n0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X0))
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_57) ).
cnf(c_111,plain,
( ~ p_Wr(X0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = rd_level(X0)
| gt(int_level(X0),n0)
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_60) ).
cnf(c_125,plain,
( ~ gt(minus(fifo_length,n1),rd_level(X0))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| p_Reset(X0)
| p_Wr(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_74) ).
cnf(c_126,plain,
( ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X0))
| p_Reset(X0)
| p_Wr(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_75) ).
cnf(c_128,plain,
( ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = rd_level(X0)
| gt(int_level(X0),n0)
| p_Reset(X0)
| p_Wr(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_77) ).
cnf(c_132,plain,
( rd_level(plus(X0,n1)) = rd_level(X0)
| p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_81) ).
cnf(c_142,plain,
~ def_10(X0,X0),
inference(unflattening,[status(thm)],[c_58]) ).
cnf(c_143,plain,
( minus(plus(X0,X1),X1) = X0
| def_10(X1,plus(X0,X1)) ),
inference(unflattening,[status(thm)],[c_56]) ).
cnf(c_144,plain,
( plus(minus(X0,X1),X1) = X0
| def_10(X1,X0) ),
inference(unflattening,[status(thm)],[c_55]) ).
cnf(c_145,plain,
~ gt(n1,n1),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_157,plain,
~ def_10(n1,n1),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_163,plain,
( n1 = n1
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_239,plain,
( p_Reset(X0)
| rd_level(plus(X0,n1)) = rd_level(X0)
| p_Rd(X0) ),
inference(global_subsumption_just,[status(thm)],[c_132,c_132,c_84]) ).
cnf(c_240,plain,
( rd_level(plus(X0,n1)) = rd_level(X0)
| p_Reset(X0)
| p_Rd(X0) ),
inference(renaming,[status(thm)],[c_239]) ).
cnf(c_258,plain,
( rd_level(plus(X0,n1)) = rd_level(X0)
| p_Reset(X0)
| p_Rd(X0) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_240]) ).
cnf(c_277,plain,
( p_Reset(X0)
| gt(int_level(X0),n0)
| rd_level(plus(X0,n1)) = rd_level(X0) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_128,c_111,c_240]) ).
cnf(c_278,plain,
( rd_level(plus(X0,n1)) = rd_level(X0)
| gt(int_level(X0),n0)
| p_Reset(X0) ),
inference(renaming,[status(thm)],[c_277]) ).
cnf(c_292,plain,
( rd_level(plus(X0,n1)) = rd_level(X0)
| gt(int_level(X0),n0)
| p_Reset(X0) ),
inference(global_subsumption_just,[status(thm)],[c_111,c_278]) ).
cnf(c_326,plain,
( ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_126,c_79,c_126,c_108]) ).
cnf(c_332,plain,
( gt(minus(fifo_length,n1),rd_level(X0))
| rd_level(plus(X0,n1)) = n0
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_326]) ).
cnf(c_333,plain,
( ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(X0)) ),
inference(renaming,[status(thm)],[c_332]) ).
cnf(c_338,plain,
( p_Reset(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_125,c_125,c_107]) ).
cnf(c_339,plain,
( ~ gt(minus(fifo_length,n1),rd_level(X0))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| p_Reset(X0) ),
inference(renaming,[status(thm)],[c_338]) ).
cnf(c_344,plain,
( ~ gt(int_level(X0),n0)
| ~ gt(minus(fifo_length,n1),rd_level(X0))
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| p_Reset(X0) ),
inference(global_subsumption_just,[status(thm)],[c_107,c_339]) ).
cnf(c_345,plain,
( ~ gt(minus(fifo_length,n1),rd_level(X0))
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
| p_Reset(X0) ),
inference(renaming,[status(thm)],[c_344]) ).
cnf(c_8365,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_8368,plain,
( X0 != X1
| X2 != X3
| ~ gt(X1,X3)
| gt(X0,X2) ),
theory(equality) ).
cnf(c_8369,plain,
( X0 != X1
| X2 != X3
| plus(X0,X2) = plus(X1,X3) ),
theory(equality) ).
cnf(c_8370,plain,
( X0 != X1
| ~ def_10(X2,X1)
| def_10(X2,X0) ),
theory(equality) ).
cnf(c_9401,plain,
( rd_level(t_139) = minus(fifo_length,n1)
| gt(minus(fifo_length,n1),rd_level(t_139))
| gt(rd_level(t_139),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_9402,plain,
( minus(fifo_length,n1) = rd_level(t_139)
| gt(minus(fifo_length,n1),rd_level(t_139))
| gt(rd_level(t_139),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_9406,plain,
( minus(fifo_length,n1) = rd_level(t_139)
| gt(minus(fifo_length,n1),rd_level(t_139))
| gt(rd_level(t_139),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_9407,plain,
( gt(minus(fifo_length,n1),rd_level(t_139))
| minus(fifo_length,n1) = rd_level(t_139) ),
inference(global_subsumption_just,[status(thm)],[c_9406,c_49,c_9402]) ).
cnf(c_9408,plain,
( minus(fifo_length,n1) = rd_level(t_139)
| gt(minus(fifo_length,n1),rd_level(t_139)) ),
inference(renaming,[status(thm)],[c_9407]) ).
cnf(c_9411,plain,
( ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| ~ gt(minus(fifo_length,n1),X0)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_9412,plain,
( ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| ~ def_10(minus(fifo_length,n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_9416,plain,
( ~ gt(minus(fifo_length,n1),X0)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_9411,c_50,c_9411]) ).
cnf(c_9423,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_9425,plain,
( X1 != minus(fifo_length,n1)
| X0 != rd_level(plus(t_139,n1))
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_9423,c_50,c_9423]) ).
cnf(c_9426,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_9425]) ).
cnf(c_9428,plain,
( ~ gt(fifo_length,n0)
| gt(fifo_length,minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_9432,plain,
( ~ gt(fifo_length,n0)
| gt(plus(fifo_length,n1),plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_9450,plain,
( ~ gt(minus(fifo_length,n1),rd_level(t_139))
| plus(rd_level(t_139),n1) = minus(fifo_length,n1)
| gt(minus(fifo_length,n1),plus(rd_level(t_139),n1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_9466,plain,
( plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)) = rd_level(plus(t_139,n1))
| def_10(minus(fifo_length,n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_9469,plain,
( ~ gt(minus(fifo_length,n1),n0)
| gt(rd_level(plus(t_139,n1)),n0) ),
inference(instantiation,[status(thm)],[c_9416]) ).
cnf(c_9521,plain,
( ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| ~ gt(minus(fifo_length,n1),X0)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_9525,plain,
( ~ gt(minus(fifo_length,n1),X0)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_9521,c_50,c_9411]) ).
cnf(c_9554,plain,
( ~ gt(minus(fifo_length,n1),rd_level(t_139))
| ~ gt(rd_level(t_139),X0)
| gt(minus(fifo_length,n1),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_9573,plain,
( ~ gt(minus(fifo_length,n1),rd_level(plus(t_139,n1)))
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_9525]) ).
cnf(c_9574,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != X2
| ~ gt(rd_level(plus(t_139,n1)),X2)
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_9617,plain,
( ~ gt(fifo_length,minus(fifo_length,n1))
| gt(plus(fifo_length,n1),plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_9618,plain,
( ~ gt(minus(fifo_length,n1),X0)
| ~ gt(fifo_length,minus(fifo_length,n1))
| gt(fifo_length,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_9630,plain,
( X0 != fifo_length
| X1 != minus(fifo_length,n1)
| ~ gt(fifo_length,minus(fifo_length,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_9632,plain,
( X1 != minus(fifo_length,n1)
| X0 != fifo_length
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_9630,c_51,c_9428,c_9630]) ).
cnf(c_9633,plain,
( X0 != fifo_length
| X1 != minus(fifo_length,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_9632]) ).
cnf(c_9650,plain,
( ~ gt(plus(fifo_length,n1),plus(n0,n1))
| fifo_length = plus(n0,n1)
| gt(fifo_length,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_9651,plain,
( fifo_length = plus(n0,n1)
| gt(fifo_length,plus(n0,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_9650,c_51,c_9432,c_9650]) ).
cnf(c_9653,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(n0,n1)
| ~ gt(plus(fifo_length,n1),plus(n0,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_9655,plain,
( X1 != plus(n0,n1)
| X0 != plus(fifo_length,n1)
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_9653,c_51,c_9432,c_9653]) ).
cnf(c_9656,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(n0,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_9655]) ).
cnf(c_9657,plain,
( n1 != plus(fifo_length,n1)
| n1 != plus(n0,n1)
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_9656]) ).
cnf(c_9678,plain,
( X0 = fifo_length
| gt(X0,fifo_length)
| gt(fifo_length,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_9679,plain,
( n1 = fifo_length
| gt(fifo_length,n1)
| gt(n1,fifo_length) ),
inference(instantiation,[status(thm)],[c_9678]) ).
cnf(c_9692,plain,
( plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| X0 != X1
| plus(plus(rd_level(t_139),n1),X0) = plus(minus(fifo_length,n1),X1) ),
inference(instantiation,[status(thm)],[c_8369]) ).
cnf(c_9698,plain,
( plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| n1 != n1
| plus(plus(rd_level(t_139),n1),n1) = plus(minus(fifo_length,n1),n1) ),
inference(instantiation,[status(thm)],[c_9692]) ).
cnf(c_9725,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),plus(rd_level(t_139),n1))
| gt(minus(fifo_length,n1),rd_level(t_139)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_9729,plain,
( ~ gt(minus(fifo_length,n1),rd_level(t_139))
| ~ gt(rd_level(t_139),n0)
| gt(minus(fifo_length,n1),n0) ),
inference(instantiation,[status(thm)],[c_9554]) ).
cnf(c_9783,plain,
( minus(fifo_length,n1) = n0
| gt(minus(fifo_length,n1),n0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_9907,plain,
( ~ gt(X0,minus(fifo_length,n1))
| plus(minus(fifo_length,n1),n1) = X0
| gt(X0,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_9914,plain,
( ~ gt(n1,minus(fifo_length,n1))
| plus(minus(fifo_length,n1),n1) = n1
| gt(n1,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_9907]) ).
cnf(c_9920,plain,
( plus(y_27(minus(fifo_length,n1)),n1) = minus(fifo_length,n1)
| minus(fifo_length,n1) = n0 ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_9922,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) = minus(fifo_length,n1)
| def_10(X0,plus(minus(fifo_length,n1),X0)) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_9923,plain,
( minus(plus(minus(fifo_length,n1),n1),n1) = minus(fifo_length,n1)
| def_10(n1,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_9922]) ).
cnf(c_9962,plain,
( ~ gt(fifo_length,X0)
| ~ def_10(X0,fifo_length) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_9963,plain,
( ~ gt(fifo_length,n1)
| ~ def_10(n1,fifo_length) ),
inference(instantiation,[status(thm)],[c_9962]) ).
cnf(c_9992,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(minus(fifo_length,n1),n1)
| ~ gt(plus(fifo_length,n1),plus(minus(fifo_length,n1),n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_9999,plain,
( plus(minus(fifo_length,n1),n1) != fifo_length
| X0 != X1
| plus(plus(minus(fifo_length,n1),n1),X0) = plus(fifo_length,X1) ),
inference(instantiation,[status(thm)],[c_8369]) ).
cnf(c_10005,plain,
( plus(minus(fifo_length,n1),n1) != fifo_length
| n1 != n1
| plus(plus(minus(fifo_length,n1),n1),n1) = plus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_9999]) ).
cnf(c_10020,plain,
( minus(fifo_length,n1) != minus(fifo_length,n1)
| X0 != fifo_length
| gt(X0,minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_9633]) ).
cnf(c_10021,plain,
( X0 != fifo_length
| gt(X0,minus(fifo_length,n1)) ),
inference(equality_resolution_simp,[status(thm)],[c_10020]) ).
cnf(c_10022,plain,
( n1 != fifo_length
| gt(n1,minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_10021]) ).
cnf(c_10093,plain,
( plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)) != rd_level(plus(t_139,n1))
| X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)),X0) ),
inference(instantiation,[status(thm)],[c_9574]) ).
cnf(c_10095,plain,
( X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_10093,c_50,c_9412,c_9466,c_10093]) ).
cnf(c_10155,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_10156,plain,
( X1 != minus(fifo_length,n1)
| X0 != rd_level(plus(t_139,n1))
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_10155,c_50,c_9423]) ).
cnf(c_10157,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_10156]) ).
cnf(c_10178,plain,
( rd_level(t_139) != minus(fifo_length,n1)
| X0 != minus(fifo_length,n1)
| X0 = rd_level(t_139) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_10184,plain,
( minus(fifo_length,n1) != rd_level(t_139)
| X0 != rd_level(t_139)
| X0 = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_10197,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != X2
| ~ gt(rd_level(plus(t_139,n1)),X2)
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_10224,plain,
( plus(y_27(minus(fifo_length,n1)),n1) != minus(fifo_length,n1)
| X0 != rd_level(plus(t_139,n1))
| gt(X0,plus(y_27(minus(fifo_length,n1)),n1)) ),
inference(instantiation,[status(thm)],[c_10157]) ).
cnf(c_10229,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) != minus(fifo_length,n1)
| X1 != rd_level(plus(t_139,n1))
| gt(X1,minus(plus(minus(fifo_length,n1),X0),X0)) ),
inference(instantiation,[status(thm)],[c_10157]) ).
cnf(c_10235,plain,
( ~ gt(minus(fifo_length,n1),X0)
| ~ gt(fifo_length,minus(fifo_length,n1))
| gt(fifo_length,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_10239,plain,
( ~ gt(minus(fifo_length,n1),X0)
| gt(fifo_length,X0) ),
inference(global_subsumption_just,[status(thm)],[c_10235,c_51,c_9428,c_9618]) ).
cnf(c_10272,plain,
( X0 != fifo_length
| X1 != plus(n0,n1)
| ~ gt(fifo_length,plus(n0,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_10406,plain,
( rd_level(plus(t_139,n1)) != rd_level(t_139)
| minus(fifo_length,n1) != rd_level(t_139)
| rd_level(plus(t_139,n1)) = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_10184]) ).
cnf(c_10415,plain,
( X0 != n0
| X1 != X2
| plus(X0,X1) = plus(n0,X2) ),
inference(instantiation,[status(thm)],[c_8369]) ).
cnf(c_10508,plain,
( rd_level(plus(t_139,n1)) != rd_level(plus(t_139,n1))
| X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(instantiation,[status(thm)],[c_10197]) ).
cnf(c_10509,plain,
( X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(rd_level(plus(t_139,n1)),X0) ),
inference(equality_resolution_simp,[status(thm)],[c_10508]) ).
cnf(c_10516,plain,
( X0 = plus(minus(fifo_length,n1),n1)
| gt(plus(minus(fifo_length,n1),n1),X0)
| gt(X0,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_10517,plain,
( n1 = plus(minus(fifo_length,n1),n1)
| gt(plus(minus(fifo_length,n1),n1),n1)
| gt(n1,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_10516]) ).
cnf(c_10575,plain,
( ~ gt(minus(fifo_length,n1),X0)
| gt(plus(minus(fifo_length,n1),n1),plus(X0,n1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_10591,plain,
( plus(y_27(minus(fifo_length,n1)),n1) != minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) != rd_level(plus(t_139,n1))
| gt(rd_level(plus(t_139,n1)),plus(y_27(minus(fifo_length,n1)),n1)) ),
inference(instantiation,[status(thm)],[c_10224]) ).
cnf(c_10592,plain,
( plus(y_27(minus(fifo_length,n1)),n1) != minus(fifo_length,n1)
| gt(rd_level(plus(t_139,n1)),plus(y_27(minus(fifo_length,n1)),n1)) ),
inference(equality_resolution_simp,[status(thm)],[c_10591]) ).
cnf(c_10619,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) != minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) != rd_level(plus(t_139,n1))
| gt(rd_level(plus(t_139,n1)),minus(plus(minus(fifo_length,n1),X0),X0)) ),
inference(instantiation,[status(thm)],[c_10229]) ).
cnf(c_10620,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) != minus(fifo_length,n1)
| gt(rd_level(plus(t_139,n1)),minus(plus(minus(fifo_length,n1),X0),X0)) ),
inference(equality_resolution_simp,[status(thm)],[c_10619]) ).
cnf(c_10621,plain,
( minus(plus(minus(fifo_length,n1),n1),n1) != minus(fifo_length,n1)
| gt(rd_level(plus(t_139,n1)),minus(plus(minus(fifo_length,n1),n1),n1)) ),
inference(instantiation,[status(thm)],[c_10620]) ).
cnf(c_10697,plain,
( ~ gt(plus(fifo_length,n1),X0)
| fifo_length = X0
| gt(fifo_length,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_10698,plain,
( ~ gt(plus(fifo_length,n1),n1)
| fifo_length = n1
| gt(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_10697]) ).
cnf(c_10733,plain,
( X0 != plus(n0,n1)
| fifo_length != plus(n0,n1)
| X0 = fifo_length ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_10737,plain,
( fifo_length != plus(n0,n1)
| n1 != plus(n0,n1)
| n1 = fifo_length ),
inference(instantiation,[status(thm)],[c_10733]) ).
cnf(c_10753,plain,
( ~ gt(minus(fifo_length,n1),plus(n0,n1))
| gt(fifo_length,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_10239]) ).
cnf(c_10787,plain,
( plus(n0,n1) != plus(n0,n1)
| X0 != fifo_length
| ~ gt(fifo_length,plus(n0,n1))
| gt(X0,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_10272]) ).
cnf(c_10788,plain,
( X0 != fifo_length
| ~ gt(fifo_length,plus(n0,n1))
| gt(X0,plus(n0,n1)) ),
inference(equality_resolution_simp,[status(thm)],[c_10787]) ).
cnf(c_10789,plain,
( n1 != fifo_length
| ~ gt(fifo_length,plus(n0,n1))
| gt(n1,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_10788]) ).
cnf(c_10916,plain,
( plus(minus(fifo_length,X0),X0) = fifo_length
| def_10(X0,fifo_length) ),
inference(instantiation,[status(thm)],[c_144]) ).
cnf(c_10917,plain,
( plus(minus(fifo_length,n1),n1) = fifo_length
| def_10(n1,fifo_length) ),
inference(instantiation,[status(thm)],[c_10916]) ).
cnf(c_11765,plain,
( rd_level(plus(t_139,n1)) != X0
| ~ gt(rd_level(plus(t_139,n1)),X0)
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_10509]) ).
cnf(c_11810,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),X0)
| ~ def_10(X0,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_11811,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),n1)
| ~ def_10(n1,plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_11810]) ).
cnf(c_11965,plain,
( ~ gt(minus(fifo_length,n1),minus(fifo_length,n1))
| gt(plus(minus(fifo_length,n1),n1),plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_10575]) ).
cnf(c_12783,plain,
( ~ gt(X0,fifo_length)
| gt(plus(X0,n1),plus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_12788,plain,
( ~ gt(n1,fifo_length)
| gt(plus(n1,n1),plus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_12783]) ).
cnf(c_12807,plain,
( X0 != X1
| X2 != plus(n0,n1)
| ~ gt(X1,plus(n0,n1))
| gt(X0,X2) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_12808,plain,
( n1 != plus(n0,n1)
| n1 != n1
| ~ gt(n1,plus(n0,n1))
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_12807]) ).
cnf(c_12812,plain,
( minus(fifo_length,n1) != n0
| X0 != X1
| plus(minus(fifo_length,n1),X0) = plus(n0,X1) ),
inference(instantiation,[status(thm)],[c_10415]) ).
cnf(c_12813,plain,
( minus(fifo_length,n1) != n0
| n1 != n1
| plus(minus(fifo_length,n1),n1) = plus(n0,n1) ),
inference(instantiation,[status(thm)],[c_12812]) ).
cnf(c_13117,plain,
( minus(fifo_length,n1) != minus(fifo_length,n1)
| rd_level(t_139) != minus(fifo_length,n1)
| minus(fifo_length,n1) = rd_level(t_139) ),
inference(instantiation,[status(thm)],[c_10178]) ).
cnf(c_13118,plain,
( rd_level(t_139) != minus(fifo_length,n1)
| minus(fifo_length,n1) = rd_level(t_139) ),
inference(equality_resolution_simp,[status(thm)],[c_13117]) ).
cnf(c_13685,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13686,plain,
( X1 != minus(fifo_length,n1)
| X0 != rd_level(plus(t_139,n1))
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_13685,c_9426]) ).
cnf(c_13687,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != minus(fifo_length,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_13686]) ).
cnf(c_13710,plain,
( ~ gt(minus(fifo_length,n1),rd_level(t_139))
| ~ gt(int_level(t_139),n0)
| ~ p_Rd(t_139)
| rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
| p_Reset(t_139) ),
inference(instantiation,[status(thm)],[c_345]) ).
cnf(c_13711,plain,
( X0 != minus(fifo_length,n1)
| X1 != rd_level(t_139)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13724,plain,
( ~ gt(rd_level(plus(t_139,n1)),X0)
| ~ gt(X0,X1)
| gt(rd_level(plus(t_139,n1)),X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_13727,plain,
( X0 != rd_level(plus(t_139,n1))
| X1 != X2
| ~ gt(rd_level(plus(t_139,n1)),X2)
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13759,plain,
( minus(fifo_length,n1) != minus(fifo_length,n1)
| X0 != rd_level(plus(t_139,n1))
| gt(X0,minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_13687]) ).
cnf(c_13760,plain,
( X0 != rd_level(plus(t_139,n1))
| gt(X0,minus(fifo_length,n1)) ),
inference(equality_resolution_simp,[status(thm)],[c_13759]) ).
cnf(c_13773,plain,
( X0 != fifo_length
| X1 != minus(fifo_length,n1)
| ~ gt(fifo_length,minus(fifo_length,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13774,plain,
( X1 != minus(fifo_length,n1)
| X0 != fifo_length
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_13773,c_51,c_9428,c_9630]) ).
cnf(c_13775,plain,
( X0 != fifo_length
| X1 != minus(fifo_length,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_13774]) ).
cnf(c_13792,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(n0,n1)
| ~ gt(plus(fifo_length,n1),plus(n0,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13793,plain,
( X1 != plus(n0,n1)
| X0 != plus(fifo_length,n1)
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_13792,c_9656]) ).
cnf(c_13794,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(n0,n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_13793]) ).
cnf(c_13799,plain,
( X0 != fifo_length
| X1 != plus(n0,n1)
| ~ gt(fifo_length,plus(n0,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13811,plain,
( X0 = n0
| gt(X0,n0)
| gt(n0,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_13812,plain,
( gt(X0,n0)
| X0 = n0 ),
inference(global_subsumption_just,[status(thm)],[c_13811,c_66]) ).
cnf(c_13813,plain,
( X0 = n0
| gt(X0,n0) ),
inference(renaming,[status(thm)],[c_13812]) ).
cnf(c_13838,plain,
( ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| ~ gt(plus(rd_level(t_139),n1),X0)
| gt(minus(fifo_length,n1),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_13841,plain,
( X0 != minus(fifo_length,n1)
| X1 != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_13845,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),plus(rd_level(t_139),n1))
| ~ gt(plus(rd_level(t_139),n1),X0)
| gt(plus(minus(fifo_length,n1),n1),X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_13856,plain,
( rd_level(plus(t_139,n1)) = rd_level(t_139)
| p_Reset(t_139)
| p_Rd(t_139) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_13861,plain,
( rd_level(plus(t_139,n1)) != rd_level(t_139)
| X0 != minus(fifo_length,n1)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(X0,rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13711]) ).
cnf(c_13864,plain,
( rd_level(t_139) != rd_level(t_139)
| X0 != minus(fifo_length,n1)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(X0,rd_level(t_139)) ),
inference(instantiation,[status(thm)],[c_13711]) ).
cnf(c_13865,plain,
( X0 != minus(fifo_length,n1)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(X0,rd_level(t_139)) ),
inference(equality_resolution_simp,[status(thm)],[c_13864]) ).
cnf(c_13908,plain,
( ~ gt(rd_level(plus(t_139,n1)),X0)
| ~ gt(X0,rd_level(plus(t_139,n1)))
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13724]) ).
cnf(c_13915,plain,
~ gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_13919,plain,
( plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)) != rd_level(plus(t_139,n1))
| X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)),X0) ),
inference(instantiation,[status(thm)],[c_13727]) ).
cnf(c_13920,plain,
( X0 != X1
| ~ gt(rd_level(plus(t_139,n1)),X1)
| gt(plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_13919,c_10095]) ).
cnf(c_14045,plain,
( minus(fifo_length,n1) != rd_level(plus(t_139,n1))
| gt(minus(fifo_length,n1),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_13760]) ).
cnf(c_14074,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(minus(fifo_length,n1),n1)
| ~ gt(plus(fifo_length,n1),plus(minus(fifo_length,n1),n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_14075,plain,
( X1 != plus(minus(fifo_length,n1),n1)
| X0 != plus(fifo_length,n1)
| gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_14074,c_51,c_9428,c_9617,c_9992]) ).
cnf(c_14076,plain,
( X0 != plus(fifo_length,n1)
| X1 != plus(minus(fifo_length,n1),n1)
| gt(X0,X1) ),
inference(renaming,[status(thm)],[c_14075]) ).
cnf(c_14145,plain,
( plus(fifo_length,n1) != plus(fifo_length,n1)
| X0 != plus(n0,n1)
| gt(plus(fifo_length,n1),X0) ),
inference(instantiation,[status(thm)],[c_13794]) ).
cnf(c_14146,plain,
( X0 != plus(n0,n1)
| gt(plus(fifo_length,n1),X0) ),
inference(equality_resolution_simp,[status(thm)],[c_14145]) ).
cnf(c_14147,plain,
( n1 != plus(n0,n1)
| gt(plus(fifo_length,n1),n1) ),
inference(instantiation,[status(thm)],[c_14146]) ).
cnf(c_14176,plain,
( plus(minus(fifo_length,X0),X0) != fifo_length
| X1 != plus(n0,n1)
| ~ gt(fifo_length,plus(n0,n1))
| gt(plus(minus(fifo_length,X0),X0),X1) ),
inference(instantiation,[status(thm)],[c_13799]) ).
cnf(c_14253,plain,
( rd_level(t_139) = n0
| gt(rd_level(t_139),n0) ),
inference(instantiation,[status(thm)],[c_13813]) ).
cnf(c_14254,plain,
( ~ gt(X0,n0)
| plus(n0,n1) = X0
| gt(X0,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_14255,plain,
( ~ gt(X0,n0)
| gt(plus(X0,n1),plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_14258,plain,
( plus(X0,n1) = n0
| gt(plus(X0,n1),n0) ),
inference(instantiation,[status(thm)],[c_13813]) ).
cnf(c_14259,plain,
gt(plus(X0,n1),n0),
inference(global_subsumption_just,[status(thm)],[c_14258,c_53]) ).
cnf(c_14356,plain,
( plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| X0 != minus(fifo_length,n1)
| X0 = plus(rd_level(t_139),n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_14384,plain,
( ~ gt(plus(plus(minus(fifo_length,n1),n1),n1),plus(plus(rd_level(t_139),n1),n1))
| gt(plus(minus(fifo_length,n1),n1),plus(rd_level(t_139),n1)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_14394,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),X0)
| minus(fifo_length,n1) = X0
| gt(minus(fifo_length,n1),X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_14396,plain,
( X0 != plus(minus(fifo_length,n1),n1)
| X1 != X2
| ~ gt(plus(minus(fifo_length,n1),n1),X2)
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_8368]) ).
cnf(c_14406,plain,
( minus(fifo_length,n1) != plus(rd_level(t_139),n1)
| X0 != plus(rd_level(t_139),n1)
| X0 = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_14464,plain,
( ~ gt(int_level(t_139),n0)
| ~ p_Rd(t_139)
| rd_level(plus(t_139,n1)) = n0
| gt(minus(fifo_length,n1),rd_level(t_139)) ),
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_14471,plain,
( rd_level(plus(t_139,n1)) = rd_level(t_139)
| gt(int_level(t_139),n0)
| p_Reset(t_139) ),
inference(instantiation,[status(thm)],[c_292]) ).
cnf(c_14494,plain,
( rd_level(t_139) != minus(fifo_length,n1)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(rd_level(t_139),rd_level(t_139)) ),
inference(instantiation,[status(thm)],[c_13865]) ).
cnf(c_14717,plain,
( rd_level(plus(t_139,n1)) != X0
| ~ gt(rd_level(plus(t_139,n1)),X0)
| gt(plus(minus(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),minus(fifo_length,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13920]) ).
cnf(c_14718,plain,
( ~ gt(rd_level(plus(t_139,n1)),X0)
| rd_level(plus(t_139,n1)) != X0 ),
inference(global_subsumption_just,[status(thm)],[c_14717,c_11765,c_13915]) ).
cnf(c_14719,plain,
( rd_level(plus(t_139,n1)) != X0
| ~ gt(rd_level(plus(t_139,n1)),X0) ),
inference(renaming,[status(thm)],[c_14718]) ).
cnf(c_14984,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),X0)
| ~ gt(X1,plus(minus(fifo_length,n1),n1))
| gt(X1,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_15090,plain,
( ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| ~ gt(plus(rd_level(t_139),n1),n0)
| gt(minus(fifo_length,n1),n0) ),
inference(instantiation,[status(thm)],[c_13838]) ).
cnf(c_15104,plain,
( minus(plus(y_27(fifo_length),n1),X0) != minus(fifo_length,n1)
| X1 != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(minus(plus(y_27(fifo_length),n1),X0),X1) ),
inference(instantiation,[status(thm)],[c_13841]) ).
cnf(c_15112,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) != minus(fifo_length,n1)
| X1 != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(minus(plus(minus(fifo_length,n1),X0),X0),X1) ),
inference(instantiation,[status(thm)],[c_13841]) ).
cnf(c_15129,plain,
( minus(fifo_length,n1) != n0
| X0 != n0
| X0 = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_15449,plain,
( plus(X0,n1) != plus(fifo_length,n1)
| X1 != plus(minus(fifo_length,n1),n1)
| gt(plus(X0,n1),X1) ),
inference(instantiation,[status(thm)],[c_14076]) ).
cnf(c_15602,plain,
( plus(minus(fifo_length,n1),n1) != X0
| X1 != X0
| X1 = plus(minus(fifo_length,n1),n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_15609,plain,
( plus(minus(fifo_length,n1),n1) != n1
| n1 != n1
| n1 = plus(minus(fifo_length,n1),n1) ),
inference(instantiation,[status(thm)],[c_15602]) ).
cnf(c_16081,plain,
( ~ gt(plus(fifo_length,n1),X0)
| ~ gt(X1,plus(fifo_length,n1))
| gt(X1,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_16084,plain,
( ~ gt(plus(fifo_length,n1),n1)
| ~ gt(n1,plus(fifo_length,n1))
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_16081]) ).
cnf(c_16174,plain,
( X0 != X1
| fifo_length != X1
| X0 = fifo_length ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_16181,plain,
( fifo_length != n1
| n1 != n1
| n1 = fifo_length ),
inference(instantiation,[status(thm)],[c_16174]) ).
cnf(c_16796,plain,
( ~ gt(minus(fifo_length,n1),n0)
| plus(n0,n1) = minus(fifo_length,n1)
| gt(minus(fifo_length,n1),plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_14254]) ).
cnf(c_16817,plain,
( plus(n0,n1) != X0
| X1 != X0
| X1 = plus(n0,n1) ),
inference(instantiation,[status(thm)],[c_8365]) ).
cnf(c_16824,plain,
( plus(n0,n1) != n1
| n1 != n1
| n1 = plus(n0,n1) ),
inference(instantiation,[status(thm)],[c_16817]) ).
cnf(c_16828,plain,
( ~ gt(minus(fifo_length,n1),n0)
| gt(plus(minus(fifo_length,n1),n1),plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_14255]) ).
cnf(c_16856,plain,
gt(plus(rd_level(t_139),n1),n0),
inference(instantiation,[status(thm)],[c_14259]) ).
cnf(c_17221,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),plus(rd_level(t_139),n1))
| ~ gt(plus(rd_level(t_139),n1),rd_level(plus(t_139,n1)))
| gt(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13845]) ).
cnf(c_17253,plain,
( ~ p_Reset(t_139)
| rd_level(plus(t_139,n1)) = n0 ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_17424,plain,
( plus(minus(fifo_length,X0),X0) != plus(n0,n1)
| plus(minus(fifo_length,X0),X0) != fifo_length
| ~ gt(fifo_length,plus(n0,n1))
| gt(plus(minus(fifo_length,X0),X0),plus(minus(fifo_length,X0),X0)) ),
inference(instantiation,[status(thm)],[c_14176]) ).
cnf(c_17425,plain,
( plus(minus(fifo_length,n1),n1) != plus(n0,n1)
| plus(minus(fifo_length,n1),n1) != fifo_length
| ~ gt(fifo_length,plus(n0,n1))
| gt(plus(minus(fifo_length,n1),n1),plus(minus(fifo_length,n1),n1)) ),
inference(instantiation,[status(thm)],[c_17424]) ).
cnf(c_17969,plain,
( plus(n0,n1) != minus(fifo_length,n1)
| X0 != fifo_length
| gt(X0,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_13775]) ).
cnf(c_17970,plain,
( plus(n0,n1) != minus(fifo_length,n1)
| n1 != fifo_length
| gt(n1,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_17969]) ).
cnf(c_20521,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))
| minus(fifo_length,n1) = rd_level(plus(t_139,n1))
| gt(minus(fifo_length,n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_14394]) ).
cnf(c_20522,plain,
( minus(fifo_length,n1) = rd_level(plus(t_139,n1))
| ~ gt(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1))) ),
inference(global_subsumption_just,[status(thm)],[c_20521,c_9573,c_13915,c_20521]) ).
cnf(c_20523,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),rd_level(plus(t_139,n1)))
| minus(fifo_length,n1) = rd_level(plus(t_139,n1)) ),
inference(renaming,[status(thm)],[c_20522]) ).
cnf(c_20592,plain,
( plus(rd_level(t_139),n1) != plus(rd_level(t_139),n1)
| minus(fifo_length,n1) != plus(rd_level(t_139),n1)
| plus(rd_level(t_139),n1) = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_14406]) ).
cnf(c_20593,plain,
( minus(fifo_length,n1) != plus(rd_level(t_139),n1)
| plus(rd_level(t_139),n1) = minus(fifo_length,n1) ),
inference(equality_resolution_simp,[status(thm)],[c_20592]) ).
cnf(c_21280,plain,
( plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| minus(fifo_length,n1) != minus(fifo_length,n1)
| minus(fifo_length,n1) = plus(rd_level(t_139),n1) ),
inference(instantiation,[status(thm)],[c_14356]) ).
cnf(c_21281,plain,
( plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| minus(fifo_length,n1) = plus(rd_level(t_139),n1) ),
inference(equality_resolution_simp,[status(thm)],[c_21280]) ).
cnf(c_21557,plain,
( X0 != plus(minus(fifo_length,n1),n1)
| X1 != plus(n0,n1)
| ~ gt(plus(minus(fifo_length,n1),n1),plus(n0,n1))
| gt(X0,X1) ),
inference(instantiation,[status(thm)],[c_14396]) ).
cnf(c_21558,plain,
( n1 != plus(minus(fifo_length,n1),n1)
| n1 != plus(n0,n1)
| ~ gt(plus(minus(fifo_length,n1),n1),plus(n0,n1))
| gt(n1,n1) ),
inference(instantiation,[status(thm)],[c_21557]) ).
cnf(c_23237,plain,
( rd_level(plus(t_139,n1)) != n0
| ~ gt(rd_level(plus(t_139,n1)),n0) ),
inference(instantiation,[status(thm)],[c_14719]) ).
cnf(c_26699,plain,
( X0 != fifo_length
| ~ def_10(X1,fifo_length)
| def_10(X1,X0) ),
inference(instantiation,[status(thm)],[c_8370]) ).
cnf(c_26700,plain,
( n1 != fifo_length
| ~ def_10(n1,fifo_length)
| def_10(n1,n1) ),
inference(instantiation,[status(thm)],[c_26699]) ).
cnf(c_26988,plain,
( rd_level(plus(t_139,n1)) != plus(rd_level(t_139),n1)
| minus(fifo_length,n1) != plus(rd_level(t_139),n1)
| rd_level(plus(t_139,n1)) = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_14406]) ).
cnf(c_27938,plain,
( plus(y_27(minus(fifo_length,n1)),n1) != minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) != rd_level(t_139)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(plus(y_27(minus(fifo_length,n1)),n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13861]) ).
cnf(c_27942,plain,
( rd_level(plus(t_139,n1)) != rd_level(t_139)
| plus(rd_level(t_139),n1) != minus(fifo_length,n1)
| ~ gt(minus(fifo_length,n1),rd_level(t_139))
| gt(plus(rd_level(t_139),n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13861]) ).
cnf(c_28425,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),plus(n0,n1))
| ~ gt(X0,plus(minus(fifo_length,n1),n1))
| gt(X0,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_14984]) ).
cnf(c_28426,plain,
( ~ gt(plus(minus(fifo_length,n1),n1),plus(n0,n1))
| ~ gt(n1,plus(minus(fifo_length,n1),n1))
| gt(n1,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_28425]) ).
cnf(c_30668,plain,
~ gt(plus(minus(fifo_length,n1),n1),plus(minus(fifo_length,n1),n1)),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_32412,plain,
( minus(fifo_length,n1) != n0
| rd_level(t_139) != n0
| rd_level(t_139) = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_15129]) ).
cnf(c_32413,plain,
( minus(fifo_length,n1) != n0
| rd_level(t_139) = minus(fifo_length,n1) ),
inference(global_subsumption_just,[status(thm)],[c_32412,c_145,c_71,c_49,c_163,c_9401,c_9651,c_9729,c_9963,c_10698,c_10737,c_10753,c_10789,c_10917,c_12808,c_12813,c_14147,c_14253,c_16181,c_16796,c_16824,c_17425,c_17970,c_30668,c_32412]) ).
cnf(c_33059,plain,
( plus(plus(minus(fifo_length,n1),n1),n1) != plus(fifo_length,n1)
| plus(plus(rd_level(t_139),n1),n1) != plus(minus(fifo_length,n1),n1)
| gt(plus(plus(minus(fifo_length,n1),n1),n1),plus(plus(rd_level(t_139),n1),n1)) ),
inference(instantiation,[status(thm)],[c_15449]) ).
cnf(c_33060,plain,
( plus(plus(rd_level(t_139),n1),n1) != plus(minus(fifo_length,n1),n1)
| gt(plus(plus(minus(fifo_length,n1),n1),n1),plus(plus(rd_level(t_139),n1),n1)) ),
inference(global_subsumption_just,[status(thm)],[c_33059,c_145,c_71,c_157,c_163,c_9963,c_10005,c_10698,c_10917,c_14147,c_16181,c_16824,c_26700,c_33059]) ).
cnf(c_33762,plain,
( ~ gt(plus(y_27(minus(fifo_length,n1)),n1),rd_level(plus(t_139,n1)))
| ~ gt(rd_level(plus(t_139,n1)),plus(y_27(minus(fifo_length,n1)),n1))
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13908]) ).
cnf(c_33766,plain,
( ~ gt(minus(plus(minus(fifo_length,n1),X0),X0),rd_level(plus(t_139,n1)))
| ~ gt(rd_level(plus(t_139,n1)),minus(plus(minus(fifo_length,n1),X0),X0))
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_13908]) ).
cnf(c_33767,plain,
( ~ gt(minus(plus(minus(fifo_length,n1),n1),n1),rd_level(plus(t_139,n1)))
| ~ gt(rd_level(plus(t_139,n1)),minus(plus(minus(fifo_length,n1),n1),n1))
| gt(rd_level(plus(t_139,n1)),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_33766]) ).
cnf(c_34450,plain,
( ~ gt(plus(X0,n1),plus(fifo_length,n1))
| X0 = plus(fifo_length,n1)
| gt(X0,plus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_34451,plain,
( ~ gt(plus(n1,n1),plus(fifo_length,n1))
| n1 = plus(fifo_length,n1)
| gt(n1,plus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_34450]) ).
cnf(c_34568,plain,
( rd_level(plus(t_139,n1)) != minus(fifo_length,n1)
| ~ gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_14719]) ).
cnf(c_36849,plain,
~ gt(rd_level(t_139),rd_level(t_139)),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_37827,plain,
( minus(plus(y_27(fifo_length),n1),X0) != minus(fifo_length,n1)
| minus(fifo_length,n1) != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(minus(plus(y_27(fifo_length),n1),X0),minus(fifo_length,n1)) ),
inference(instantiation,[status(thm)],[c_15104]) ).
cnf(c_37829,plain,
minus(fifo_length,n1) != plus(rd_level(t_139),n1),
inference(global_subsumption_just,[status(thm)],[c_37827,c_145,c_50,c_163,c_9469,c_9698,c_9725,c_9783,c_11965,c_13710,c_13856,c_14045,c_14384,c_14471,c_14494,c_17221,c_17253,c_20523,c_20593,c_23237,c_26988,c_27942,c_30668,c_32413,c_33060,c_34568,c_36849]) ).
cnf(c_37880,plain,
( minus(plus(minus(fifo_length,n1),X0),X0) != minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(minus(plus(minus(fifo_length,n1),X0),X0),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_15112]) ).
cnf(c_37881,plain,
( minus(plus(minus(fifo_length,n1),n1),n1) != minus(fifo_length,n1)
| rd_level(plus(t_139,n1)) != plus(rd_level(t_139),n1)
| ~ gt(minus(fifo_length,n1),plus(rd_level(t_139),n1))
| gt(minus(plus(minus(fifo_length,n1),n1),n1),rd_level(plus(t_139,n1))) ),
inference(instantiation,[status(thm)],[c_37880]) ).
cnf(c_39231,plain,
( rd_level(plus(t_139,n1)) != n0
| minus(fifo_length,n1) != n0
| rd_level(plus(t_139,n1)) = minus(fifo_length,n1) ),
inference(instantiation,[status(thm)],[c_15129]) ).
cnf(c_39232,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_39231,c_37881,c_37829,c_34568,c_34451,c_33767,c_33762,c_32413,c_30668,c_28426,c_27938,c_23237,c_21558,c_21281,c_17425,c_17253,c_16856,c_16828,c_16824,c_16084,c_15609,c_15090,c_14471,c_14464,c_14147,c_13915,c_13856,c_13710,c_13118,c_12813,c_12808,c_12788,c_11811,c_10917,c_10737,c_10621,c_10592,c_10517,c_10406,c_10022,c_9963,c_9923,c_9920,c_9914,c_9783,c_9679,c_9657,c_9651,c_9469,c_9450,c_9408,c_163,c_50,c_71,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HWV033-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 29 16:32:56 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.27/2.14 % SZS status Started for theBenchmark.p
% 11.27/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.27/2.14
% 11.27/2.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.27/2.14
% 11.27/2.14 ------ iProver source info
% 11.27/2.14
% 11.27/2.14 git: date: 2023-05-31 18:12:56 +0000
% 11.27/2.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.27/2.14 git: non_committed_changes: false
% 11.27/2.14 git: last_make_outside_of_git: false
% 11.27/2.14
% 11.27/2.14 ------ Parsing...successful
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 21 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 11.27/2.14
% 11.27/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.27/2.14
% 11.27/2.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.27/2.14 ------ Proving...
% 11.27/2.14 ------ Problem Properties
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14 clauses 53
% 11.27/2.14 conjectures 3
% 11.27/2.14 EPR 7
% 11.27/2.14 Horn 23
% 11.27/2.14 unary 9
% 11.27/2.14 binary 14
% 11.27/2.14 lits 153
% 11.27/2.14 lits eq 33
% 11.27/2.14 fd_pure 0
% 11.27/2.14 fd_pseudo 0
% 11.27/2.14 fd_cond 1
% 11.27/2.14 fd_pseudo_cond 4
% 11.27/2.14 AC symbols 0
% 11.27/2.14
% 11.27/2.14 ------ Input Options Time Limit: Unbounded
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14 ------
% 11.27/2.14 Current options:
% 11.27/2.14 ------
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14 ------ Proving...
% 11.27/2.14
% 11.27/2.14
% 11.27/2.14 % SZS status Unsatisfiable for theBenchmark.p
% 11.27/2.14
% 11.27/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.27/2.14
% 11.27/2.14
%------------------------------------------------------------------------------