TSTP Solution File: HWV017-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : HWV017-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 Aug 22 10:42:26 EDT 2023
% Result : Unsatisfiable 63.21s 48.31s
% Output : CNFRefutation 63.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 50
% Syntax : Number of formulae : 303 ( 104 unt; 23 typ; 0 def)
% Number of atoms : 593 ( 209 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 478 ( 165 ~; 313 |; 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 : 225 (; 225 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p_Mem > p_Data_out > p_Data_in > gt > def_10 > p_Wr_error > p_Wr > p_Reset > p_Rd_error > p_Rd > p_Full > p_Empty > plus > minus > #nlpp > y_27 > wr_level > rd_level > level > int_level > t_139 > n1 > n0 > fifo_length
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(p_Data_out,type,
p_Data_out: ( $i * $i ) > $o ).
tff(rd_level,type,
rd_level: $i > $i ).
tff(p_Mem,type,
p_Mem: ( $i * $i * $i ) > $o ).
tff(p_Rd_error,type,
p_Rd_error: $i > $o ).
tff(fifo_length,type,
fifo_length: $i ).
tff(p_Wr,type,
p_Wr: $i > $o ).
tff(def_10,type,
def_10: ( $i * $i ) > $o ).
tff(y_27,type,
y_27: $i > $i ).
tff(t_139,type,
t_139: $i ).
tff(n1,type,
n1: $i ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff(wr_level,type,
wr_level: $i > $i ).
tff(int_level,type,
int_level: $i > $i ).
tff(p_Full,type,
p_Full: $i > $o ).
tff(n0,type,
n0: $i ).
tff(p_Reset,type,
p_Reset: $i > $o ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(p_Empty,type,
p_Empty: $i > $o ).
tff(p_Wr_error,type,
p_Wr_error: $i > $o ).
tff(p_Data_in,type,
p_Data_in: ( $i * $i ) > $o ).
tff(level,type,
level: $i > $i ).
tff(p_Rd,type,
p_Rd: $i > $o ).
tff(minus,type,
minus: ( $i * $i ) > $i ).
tff(f_80,axiom,
! [Y_4,X_3] :
( ~ def_10(Y_4,X_3)
| ( X_3 != Y_4 ) ),
file(unknown,unknown) ).
tff(f_945,axiom,
~ p_Reset(t_139),
file(unknown,unknown) ).
tff(f_943,axiom,
~ p_Wr(t_139),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X_3,Y_4,Z_5] :
( ( minus(X_3,Y_4) != Z_5 )
| ( plus(Z_5,Y_4) = X_3 )
| def_10(Y_4,X_3) ),
file(unknown,unknown) ).
tff(f_47,axiom,
! [X_0] : ( plus(X_0,n1) != n0 ),
file(unknown,unknown) ).
tff(f_947,axiom,
gt(fifo_length,n0),
file(unknown,unknown) ).
tff(f_143,axiom,
! [X_31] : ( plus(n0,X_31) = X_31 ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [Y_12,X_11] :
( ~ gt(Y_12,X_11)
| gt(plus(Y_12,n1),plus(X_11,n1)) ),
file(unknown,unknown) ).
tff(f_104,axiom,
! [X_15,Y_16] :
( ~ gt(plus(X_15,n1),Y_16)
| gt(X_15,Y_16)
| ( X_15 = Y_16 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
! [Y_4,X_3] :
( ~ def_10(Y_4,X_3)
| ~ gt(X_3,Y_4) ),
file(unknown,unknown) ).
tff(f_941,axiom,
p_Rd(t_139),
file(unknown,unknown) ).
tff(f_133,axiom,
! [X_26] :
( ( X_26 = n0 )
| ( X_26 = plus(y_27(X_26),n1) ) ),
file(unknown,unknown) ).
tff(f_141,axiom,
! [X_29,Y_30] :
( ( plus(X_29,n1) != plus(Y_30,n1) )
| ( X_29 = Y_30 ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [Y_18,X_17] :
( gt(Y_18,X_17)
| ( X_17 = Y_18 )
| gt(X_17,Y_18) ),
file(unknown,unknown) ).
tff(f_136,axiom,
! [X_28] : ~ gt(X_28,X_28),
file(unknown,unknown) ).
tff(f_129,axiom,
! [X_25] :
( ( X_25 = n0 )
| gt(X_25,n0) ),
file(unknown,unknown) ).
tff(f_118,axiom,
! [Z_21,Y_20,X_19] :
( ~ gt(Z_21,Y_20)
| gt(Z_21,X_19)
| ~ gt(Y_20,X_19) ),
file(unknown,unknown) ).
tff(f_90,axiom,
! [Y_12,X_11] :
( gt(Y_12,X_11)
| ~ gt(plus(Y_12,n1),plus(X_11,n1)) ),
file(unknown,unknown) ).
tff(f_54,axiom,
! [X_2] :
( ~ gt(X_2,n0)
| gt(X_2,minus(X_2,n1)) ),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X_t_32] : ( level(X_t_32) = int_level(X_t_32) ),
file(unknown,unknown) ).
tff(f_940,axiom,
~ gt(level(t_139),fifo_length),
file(unknown,unknown) ).
tff(f_946,axiom,
p_Full(plus(t_139,n1)),
file(unknown,unknown) ).
tff(f_156,axiom,
! [X_t_34] :
( ( int_level(X_t_34) = fifo_length )
| ~ p_Full(X_t_34) ),
file(unknown,unknown) ).
tff(f_812,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| gt(int_level(X_t_42),n0)
| ( int_level(plus(X_t_42,n1)) = int_level(X_t_42) ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
! [X_3,Y_4,Z_5] :
( ( minus(X_3,Y_4) = Z_5 )
| ( plus(Z_5,Y_4) != X_3 )
| def_10(Y_4,X_3) ),
file(unknown,unknown) ).
tff(f_49,axiom,
! [X_1] : gt(plus(X_1,n1),n0),
file(unknown,unknown) ).
tff(f_720,axiom,
! [X_t_42] :
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ( int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1) ) ),
file(unknown,unknown) ).
tff(c_14,plain,
! [Y_4_12] : ~ def_10(Y_4_12,Y_4_12),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_188,plain,
~ p_Reset(t_139),
inference(cnfTransformation,[status(thm)],[f_945]) ).
tff(c_186,plain,
~ p_Wr(t_139),
inference(cnfTransformation,[status(thm)],[f_943]) ).
tff(c_500019,plain,
! [Y_4_73836,X_3_73837] :
( def_10(Y_4_73836,X_3_73837)
| ( plus(minus(X_3_73837,Y_4_73836),Y_4_73836) = X_3_73837 ) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2,plain,
! [X_0_1] : ( plus(X_0_1,n1) != n0 ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_500074,plain,
! [X_3_73837] :
( ( n0 != X_3_73837 )
| def_10(n1,X_3_73837) ),
inference(superposition,[status(thm),theory(equality)],[c_500019,c_2]) ).
tff(c_192,plain,
gt(fifo_length,n0),
inference(cnfTransformation,[status(thm)],[f_947]) ).
tff(c_38,plain,
! [X_31_34] : ( plus(n0,X_31_34) = X_31_34 ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_500248,plain,
! [Y_12_73853,X_11_73854] :
( gt(plus(Y_12_73853,n1),plus(X_11_73854,n1))
| ~ gt(Y_12_73853,X_11_73854) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_500279,plain,
! [Y_12_73853] :
( gt(plus(Y_12_73853,n1),n1)
| ~ gt(Y_12_73853,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500248]) ).
tff(c_500521,plain,
! [Y_16_73870,X_15_73871] :
( ( Y_16_73870 = X_15_73871 )
| gt(X_15_73871,Y_16_73870)
| ~ gt(plus(X_15_73871,n1),Y_16_73870) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_500643,plain,
! [Y_12_73873] :
( ( n1 = Y_12_73873 )
| gt(Y_12_73873,n1)
| ~ gt(Y_12_73873,n0) ),
inference(resolution,[status(thm)],[c_500279,c_500521]) ).
tff(c_12,plain,
! [X_3_11,Y_4_10] :
( ~ gt(X_3_11,Y_4_10)
| ~ def_10(Y_4_10,X_3_11) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_501602,plain,
! [Y_12_73900] :
( ~ def_10(n1,Y_12_73900)
| ( n1 = Y_12_73900 )
| ~ gt(Y_12_73900,n0) ),
inference(resolution,[status(thm)],[c_500643,c_12]) ).
tff(c_501666,plain,
( ~ def_10(n1,fifo_length)
| ( n1 = fifo_length ) ),
inference(resolution,[status(thm)],[c_192,c_501602]) ).
tff(c_501667,plain,
~ def_10(n1,fifo_length),
inference(splitLeft,[status(thm)],[c_501666]) ).
tff(c_501694,plain,
n0 != fifo_length,
inference(resolution,[status(thm)],[c_500074,c_501667]) ).
tff(c_184,plain,
p_Rd(t_139),
inference(cnfTransformation,[status(thm)],[f_941]) ).
tff(c_8,plain,
! [Y_4_5,X_3_4] :
( def_10(Y_4_5,X_3_4)
| ( plus(minus(X_3_4,Y_4_5),Y_4_5) = X_3_4 ) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_32,plain,
! [X_26_30] :
( ( plus(y_27(X_26_30),n1) = X_26_30 )
| ( n0 = X_26_30 ) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_375,plain,
! [Y_30_164,X_29_165] :
( ( Y_30_164 = X_29_165 )
| ( plus(Y_30_164,n1) != plus(X_29_165,n1) ) ),
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_381,plain,
! [X_26_30,Y_30_164] :
( ( y_27(X_26_30) = Y_30_164 )
| ( plus(Y_30_164,n1) != X_26_30 )
| ( n0 = X_26_30 ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_375]) ).
tff(c_501879,plain,
! [Y_30_164] :
( ( y_27(plus(Y_30_164,n1)) = Y_30_164 )
| ( plus(Y_30_164,n1) = n0 ) ),
inference(reflexivity,[status(thm),theory(equality)],[c_381]) ).
tff(c_501893,plain,
! [Y_30_73909] : ( y_27(plus(Y_30_73909,n1)) = Y_30_73909 ),
inference(negUnitSimplification,[status(thm)],[c_2,c_501879]) ).
tff(c_502005,plain,
! [X_3_73912] :
( ( minus(X_3_73912,n1) = y_27(X_3_73912) )
| def_10(n1,X_3_73912) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_501893]) ).
tff(c_502028,plain,
minus(fifo_length,n1) = y_27(fifo_length),
inference(resolution,[status(thm)],[c_502005,c_501667]) ).
tff(c_502045,plain,
( def_10(n1,fifo_length)
| ( plus(y_27(fifo_length),n1) = fifo_length ) ),
inference(superposition,[status(thm),theory(equality)],[c_502028,c_8]) ).
tff(c_502053,plain,
plus(y_27(fifo_length),n1) = fifo_length,
inference(negUnitSimplification,[status(thm)],[c_501667,c_502045]) ).
tff(c_385,plain,
! [X_29_165] :
( ( n0 = X_29_165 )
| ( plus(X_29_165,n1) != n1 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_375]) ).
tff(c_502189,plain,
( ( y_27(fifo_length) = n0 )
| ( n1 != fifo_length ) ),
inference(superposition,[status(thm),theory(equality)],[c_502053,c_385]) ).
tff(c_502264,plain,
n1 != fifo_length,
inference(splitLeft,[status(thm)],[c_502189]) ).
tff(c_24,plain,
! [X_17_23,Y_18_22] :
( gt(X_17_23,Y_18_22)
| ( Y_18_22 = X_17_23 )
| gt(Y_18_22,X_17_23) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_34,plain,
! [X_28_31] : ~ gt(X_28_31,X_28_31),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_500275,plain,
! [X_11_73854] :
( gt(n1,plus(X_11_73854,n1))
| ~ gt(n0,X_11_73854) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500248]) ).
tff(c_500583,plain,
! [Y_16_73872] :
( ( n0 = Y_16_73872 )
| gt(n0,Y_16_73872)
| ~ gt(n1,Y_16_73872) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500521]) ).
tff(c_500586,plain,
! [X_11_73854] :
( ( plus(X_11_73854,n1) = n0 )
| gt(n0,plus(X_11_73854,n1))
| ~ gt(n0,X_11_73854) ),
inference(resolution,[status(thm)],[c_500275,c_500583]) ).
tff(c_500684,plain,
! [X_11_73874] :
( gt(n0,plus(X_11_73874,n1))
| ~ gt(n0,X_11_73874) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_500586]) ).
tff(c_30,plain,
! [X_25_29] :
( gt(X_25_29,n0)
| ( n0 = X_25_29 ) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_500104,plain,
! [Y_20_73841,X_19_73842,Z_21_73843] :
( ~ gt(Y_20_73841,X_19_73842)
| gt(Z_21_73843,X_19_73842)
| ~ gt(Z_21_73843,Y_20_73841) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_500125,plain,
! [Z_21_73843,X_25_29] :
( gt(Z_21_73843,n0)
| ~ gt(Z_21_73843,X_25_29)
| ( n0 = X_25_29 ) ),
inference(resolution,[status(thm)],[c_30,c_500104]) ).
tff(c_500686,plain,
! [X_11_73874] :
( gt(n0,n0)
| ( plus(X_11_73874,n1) = n0 )
| ~ gt(n0,X_11_73874) ),
inference(resolution,[status(thm)],[c_500684,c_500125]) ).
tff(c_500708,plain,
! [X_11_73874] : ~ gt(n0,X_11_73874),
inference(negUnitSimplification,[status(thm)],[c_2,c_34,c_500686]) ).
tff(c_500760,plain,
! [Y_12_73876,X_11_73877] :
( ~ gt(plus(Y_12_73876,n1),plus(X_11_73877,n1))
| gt(Y_12_73876,X_11_73877) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_500790,plain,
! [X_11_73877] :
( ~ gt(n1,plus(X_11_73877,n1))
| gt(n0,X_11_73877) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500760]) ).
tff(c_500799,plain,
! [X_11_73877] : ~ gt(n1,plus(X_11_73877,n1)),
inference(negUnitSimplification,[status(thm)],[c_500708,c_500790]) ).
tff(c_502148,plain,
~ gt(n1,fifo_length),
inference(superposition,[status(thm),theory(equality)],[c_502053,c_500799]) ).
tff(c_502262,plain,
( ( n1 = fifo_length )
| gt(fifo_length,n1) ),
inference(resolution,[status(thm)],[c_24,c_502148]) ).
tff(c_502362,plain,
gt(fifo_length,n1),
inference(negUnitSimplification,[status(thm)],[c_502264,c_502262]) ).
tff(c_500794,plain,
! [Y_12_73876] :
( ~ gt(plus(Y_12_73876,n1),n1)
| gt(Y_12_73876,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500760]) ).
tff(c_502137,plain,
( ~ gt(fifo_length,n1)
| gt(y_27(fifo_length),n0) ),
inference(superposition,[status(thm),theory(equality)],[c_502053,c_500794]) ).
tff(c_502607,plain,
gt(y_27(fifo_length),n0),
inference(demodulation,[status(thm),theory(equality)],[c_502362,c_502137]) ).
tff(c_500679,plain,
! [Y_12_73873] :
( ~ def_10(n1,Y_12_73873)
| ( n1 = Y_12_73873 )
| ~ gt(Y_12_73873,n0) ),
inference(resolution,[status(thm)],[c_500643,c_12]) ).
tff(c_502621,plain,
( ~ def_10(n1,y_27(fifo_length))
| ( y_27(fifo_length) = n1 ) ),
inference(resolution,[status(thm)],[c_502607,c_500679]) ).
tff(c_502709,plain,
~ def_10(n1,y_27(fifo_length)),
inference(splitLeft,[status(thm)],[c_502621]) ).
tff(c_502724,plain,
y_27(fifo_length) != n0,
inference(resolution,[status(thm)],[c_500074,c_502709]) ).
tff(c_503182,plain,
! [X_26_73937] :
( ( y_27(fifo_length) = y_27(X_26_73937) )
| ( fifo_length != X_26_73937 )
| ( n0 = X_26_73937 ) ),
inference(superposition,[status(thm),theory(equality)],[c_502053,c_381]) ).
tff(c_501924,plain,
! [X_3_4] :
( ( minus(X_3_4,n1) = y_27(X_3_4) )
| def_10(n1,X_3_4) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_501893]) ).
tff(c_502722,plain,
minus(y_27(fifo_length),n1) = y_27(y_27(fifo_length)),
inference(resolution,[status(thm)],[c_501924,c_502709]) ).
tff(c_6,plain,
! [X_2_3] :
( gt(X_2_3,minus(X_2_3,n1))
| ~ gt(X_2_3,n0) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_502820,plain,
( gt(y_27(fifo_length),y_27(y_27(fifo_length)))
| ~ gt(y_27(fifo_length),n0) ),
inference(superposition,[status(thm),theory(equality)],[c_502722,c_6]) ).
tff(c_502830,plain,
gt(y_27(fifo_length),y_27(y_27(fifo_length))),
inference(demodulation,[status(thm),theory(equality)],[c_502607,c_502820]) ).
tff(c_503199,plain,
( gt(y_27(fifo_length),y_27(fifo_length))
| ( y_27(fifo_length) != fifo_length )
| ( y_27(fifo_length) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_503182,c_502830]) ).
tff(c_503288,plain,
y_27(fifo_length) != fifo_length,
inference(negUnitSimplification,[status(thm)],[c_502724,c_34,c_503199]) ).
tff(c_487,plain,
! [Y_4_178,X_3_179] :
( def_10(Y_4_178,X_3_179)
| ( plus(minus(X_3_179,Y_4_178),Y_4_178) = X_3_179 ) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_542,plain,
! [X_3_179] :
( ( n0 != X_3_179 )
| def_10(n1,X_3_179) ),
inference(superposition,[status(thm),theory(equality)],[c_487,c_2]) ).
tff(c_450,plain,
! [X_17_172,Y_18_173] :
( gt(X_17_172,Y_18_173)
| ( Y_18_173 = X_17_172 )
| gt(Y_18_173,X_17_172) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_467,plain,
! [Y_18_173,X_17_172] :
( ~ def_10(Y_18_173,X_17_172)
| ( Y_18_173 = X_17_172 )
| gt(Y_18_173,X_17_172) ),
inference(resolution,[status(thm)],[c_450,c_12]) ).
tff(c_42,plain,
! [X_t_32_35] : ( level(X_t_32_35) = int_level(X_t_32_35) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_182,plain,
~ gt(level(t_139),fifo_length),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_193,plain,
~ gt(int_level(t_139),fifo_length),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_182]) ).
tff(c_468,plain,
( ( int_level(t_139) = fifo_length )
| gt(fifo_length,int_level(t_139)) ),
inference(resolution,[status(thm)],[c_450,c_193]) ).
tff(c_471,plain,
gt(fifo_length,int_level(t_139)),
inference(splitLeft,[status(thm)],[c_468]) ).
tff(c_576,plain,
! [Y_20_184,X_19_185,Z_21_186] :
( ~ gt(Y_20_184,X_19_185)
| gt(Z_21_186,X_19_185)
| ~ gt(Z_21_186,Y_20_184) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_597,plain,
! [Z_21_186] :
( gt(Z_21_186,int_level(t_139))
| ~ gt(Z_21_186,fifo_length) ),
inference(resolution,[status(thm)],[c_471,c_576]) ).
tff(c_746,plain,
! [Y_12_196,X_11_197] :
( gt(plus(Y_12_196,n1),plus(X_11_197,n1))
| ~ gt(Y_12_196,X_11_197) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_775,plain,
! [X_11_197] :
( gt(n1,plus(X_11_197,n1))
| ~ gt(n0,X_11_197) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_746]) ).
tff(c_1018,plain,
! [Y_16_215,X_15_216] :
( ( Y_16_215 = X_15_216 )
| gt(X_15_216,Y_16_215)
| ~ gt(plus(X_15_216,n1),Y_16_215) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_1085,plain,
! [Y_16_217] :
( ( n0 = Y_16_217 )
| gt(n0,Y_16_217)
| ~ gt(n1,Y_16_217) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1018]) ).
tff(c_1088,plain,
! [X_11_197] :
( ( plus(X_11_197,n1) = n0 )
| gt(n0,plus(X_11_197,n1))
| ~ gt(n0,X_11_197) ),
inference(resolution,[status(thm)],[c_775,c_1085]) ).
tff(c_1191,plain,
! [X_11_219] :
( gt(n0,plus(X_11_219,n1))
| ~ gt(n0,X_11_219) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_1088]) ).
tff(c_600,plain,
! [Z_21_186,X_25_29] :
( gt(Z_21_186,n0)
| ~ gt(Z_21_186,X_25_29)
| ( n0 = X_25_29 ) ),
inference(resolution,[status(thm)],[c_30,c_576]) ).
tff(c_1196,plain,
! [X_11_219] :
( gt(n0,n0)
| ( plus(X_11_219,n1) = n0 )
| ~ gt(n0,X_11_219) ),
inference(resolution,[status(thm)],[c_1191,c_600]) ).
tff(c_1218,plain,
! [X_11_219] : ~ gt(n0,X_11_219),
inference(negUnitSimplification,[status(thm)],[c_2,c_34,c_1196]) ).
tff(c_1070,plain,
! [Y_16_215] :
( ( n0 = Y_16_215 )
| gt(n0,Y_16_215)
| ~ gt(n1,Y_16_215) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1018]) ).
tff(c_1311,plain,
! [Y_16_223] :
( ( n0 = Y_16_223 )
| ~ gt(n1,Y_16_223) ),
inference(negUnitSimplification,[status(thm)],[c_1218,c_1070]) ).
tff(c_1357,plain,
( ( int_level(t_139) = n0 )
| ~ gt(n1,fifo_length) ),
inference(resolution,[status(thm)],[c_597,c_1311]) ).
tff(c_1394,plain,
~ gt(n1,fifo_length),
inference(splitLeft,[status(thm)],[c_1357]) ).
tff(c_1438,plain,
( ~ def_10(n1,fifo_length)
| ( n1 = fifo_length ) ),
inference(resolution,[status(thm)],[c_467,c_1394]) ).
tff(c_1466,plain,
~ def_10(n1,fifo_length),
inference(splitLeft,[status(thm)],[c_1438]) ).
tff(c_1503,plain,
n0 != fifo_length,
inference(resolution,[status(thm)],[c_542,c_1466]) ).
tff(c_1440,plain,
( gt(fifo_length,n1)
| ( n1 = fifo_length ) ),
inference(resolution,[status(thm)],[c_24,c_1394]) ).
tff(c_1504,plain,
n1 = fifo_length,
inference(splitLeft,[status(thm)],[c_1440]) ).
tff(c_190,plain,
p_Full(plus(t_139,n1)),
inference(cnfTransformation,[status(thm)],[f_946]) ).
tff(c_220,plain,
! [X_t_34_145] :
( ~ p_Full(X_t_34_145)
| ( int_level(X_t_34_145) = fifo_length ) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_224,plain,
int_level(plus(t_139,n1)) = fifo_length,
inference(resolution,[status(thm)],[c_190,c_220]) ).
tff(c_1541,plain,
int_level(plus(t_139,fifo_length)) = fifo_length,
inference(demodulation,[status(thm),theory(equality)],[c_1504,c_224]) ).
tff(c_1261,plain,
! [Y_16_215] :
( ( n0 = Y_16_215 )
| ~ gt(n1,Y_16_215) ),
inference(negUnitSimplification,[status(thm)],[c_1218,c_1070]) ).
tff(c_1642,plain,
! [Y_16_234] :
( ( n0 = Y_16_234 )
| ~ gt(fifo_length,Y_16_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_1504,c_1261]) ).
tff(c_1676,plain,
int_level(t_139) = n0,
inference(resolution,[status(thm)],[c_471,c_1642]) ).
tff(c_156,plain,
! [X_t_42_119] :
( ( int_level(plus(X_t_42_119,n1)) = int_level(X_t_42_119) )
| gt(int_level(X_t_42_119),n0)
| ~ p_Rd(X_t_42_119)
| p_Wr(X_t_42_119)
| p_Reset(X_t_42_119) ),
inference(cnfTransformation,[status(thm)],[f_812]) ).
tff(c_4011,plain,
! [X_t_42_323] :
( ( int_level(plus(X_t_42_323,fifo_length)) = int_level(X_t_42_323) )
| gt(int_level(X_t_42_323),n0)
| ~ p_Rd(X_t_42_323)
| p_Wr(X_t_42_323)
| p_Reset(X_t_42_323) ),
inference(demodulation,[status(thm),theory(equality)],[c_1504,c_156]) ).
tff(c_4039,plain,
( ( int_level(plus(t_139,fifo_length)) = int_level(t_139) )
| gt(n0,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_1676,c_4011]) ).
tff(c_4053,plain,
( ( n0 = fifo_length )
| gt(n0,n0)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_1541,c_1676,c_4039]) ).
tff(c_4055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_34,c_1503,c_4053]) ).
tff(c_4057,plain,
n1 != fifo_length,
inference(splitRight,[status(thm)],[c_1440]) ).
tff(c_198,plain,
! [X_31_143] : ( plus(n0,X_31_143) = X_31_143 ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_205,plain,
n1 != n0,
inference(superposition,[status(thm),theory(equality)],[c_198,c_2]) ).
tff(c_548,plain,
def_10(n1,n0),
inference(superposition,[status(thm),theory(equality)],[c_487,c_2]) ).
tff(c_5216,plain,
! [Y_30_164] :
( ( y_27(plus(Y_30_164,n1)) = Y_30_164 )
| ( plus(Y_30_164,n1) = n0 ) ),
inference(reflexivity,[status(thm),theory(equality)],[c_381]) ).
tff(c_5217,plain,
! [Y_30_164] : ( y_27(plus(Y_30_164,n1)) = Y_30_164 ),
inference(negUnitSimplification,[status(thm)],[c_2,c_5216]) ).
tff(c_1221,plain,
! [Y_12_220,X_11_221] :
( ~ gt(plus(Y_12_220,n1),plus(X_11_221,n1))
| gt(Y_12_220,X_11_221) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_1251,plain,
! [X_11_221] :
( ~ gt(n1,plus(X_11_221,n1))
| gt(n0,X_11_221) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1221]) ).
tff(c_4369,plain,
! [X_11_221] : ~ gt(n1,plus(X_11_221,n1)),
inference(negUnitSimplification,[status(thm)],[c_1218,c_1251]) ).
tff(c_4491,plain,
! [Y_12_335] :
( ~ gt(plus(Y_12_335,n1),n1)
| gt(Y_12_335,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1221]) ).
tff(c_4513,plain,
! [Y_12_335] :
( gt(Y_12_335,n0)
| ( plus(Y_12_335,n1) = n1 )
| gt(n1,plus(Y_12_335,n1)) ),
inference(resolution,[status(thm)],[c_24,c_4491]) ).
tff(c_4535,plain,
! [Y_12_335] :
( gt(Y_12_335,n0)
| ( plus(Y_12_335,n1) = n1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4369,c_4513]) ).
tff(c_901,plain,
! [Y_12_206] :
( gt(plus(Y_12_206,n1),n1)
| ~ gt(Y_12_206,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_746]) ).
tff(c_7732,plain,
! [X_26_429] :
( gt(X_26_429,n1)
| ~ gt(y_27(X_26_429),n0)
| ( n0 = X_26_429 ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_901]) ).
tff(c_78508,plain,
! [X_26_1039] :
( gt(X_26_1039,n1)
| ( n0 = X_26_1039 )
| ( plus(y_27(X_26_1039),n1) = n1 ) ),
inference(resolution,[status(thm)],[c_4535,c_7732]) ).
tff(c_16,plain,
! [Y_12_14,X_11_15] :
( gt(plus(Y_12_14,n1),plus(X_11_15,n1))
| ~ gt(Y_12_14,X_11_15) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_78879,plain,
! [X_11_15,X_26_1039] :
( gt(n1,plus(X_11_15,n1))
| ~ gt(y_27(X_26_1039),X_11_15)
| gt(X_26_1039,n1)
| ( n0 = X_26_1039 ) ),
inference(superposition,[status(thm),theory(equality)],[c_78508,c_16]) ).
tff(c_81593,plain,
! [X_26_1057,X_11_1058] :
( ~ gt(y_27(X_26_1057),X_11_1058)
| gt(X_26_1057,n1)
| ( n0 = X_26_1057 ) ),
inference(negUnitSimplification,[status(thm)],[c_4369,c_78879]) ).
tff(c_81801,plain,
! [Y_30_164,X_11_1058] :
( ~ gt(Y_30_164,X_11_1058)
| gt(plus(Y_30_164,n1),n1)
| ( plus(Y_30_164,n1) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_5217,c_81593]) ).
tff(c_81974,plain,
! [Y_30_1059,X_11_1060] :
( ~ gt(Y_30_1059,X_11_1060)
| gt(plus(Y_30_1059,n1),n1) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_81801]) ).
tff(c_109694,plain,
! [X_17_1228,Y_18_1229] :
( gt(plus(X_17_1228,n1),n1)
| ( Y_18_1229 = X_17_1228 )
| gt(Y_18_1229,X_17_1228) ),
inference(resolution,[status(thm)],[c_24,c_81974]) ).
tff(c_22,plain,
! [Y_16_21,X_15_20] :
( ( Y_16_21 = X_15_20 )
| gt(X_15_20,Y_16_21)
| ~ gt(plus(X_15_20,n1),Y_16_21) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_117896,plain,
! [X_17_1282,Y_18_1283] :
( ( n1 = X_17_1282 )
| gt(X_17_1282,n1)
| ( Y_18_1283 = X_17_1282 )
| gt(Y_18_1283,X_17_1282) ),
inference(resolution,[status(thm)],[c_109694,c_22]) ).
tff(c_118674,plain,
! [X_17_1282,Y_18_1283] :
( ~ def_10(n1,X_17_1282)
| ( n1 = X_17_1282 )
| ( Y_18_1283 = X_17_1282 )
| gt(Y_18_1283,X_17_1282) ),
inference(resolution,[status(thm)],[c_117896,c_12]) ).
tff(c_1395,plain,
! [Y_4_224,Z_5_225] :
( def_10(Y_4_224,plus(Z_5_225,Y_4_224))
| ( minus(plus(Z_5_225,Y_4_224),Y_4_224) = Z_5_225 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_1421,plain,
! [X_31_34] :
( def_10(X_31_34,X_31_34)
| ( minus(plus(n0,X_31_34),X_31_34) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_1395]) ).
tff(c_1427,plain,
! [X_31_34] :
( def_10(X_31_34,X_31_34)
| ( minus(X_31_34,X_31_34) = n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1421]) ).
tff(c_1428,plain,
! [X_31_34] : ( minus(X_31_34,X_31_34) = n0 ),
inference(negUnitSimplification,[status(thm)],[c_14,c_1427]) ).
tff(c_1235,plain,
! [Y_12_220,X_3_4] :
( ~ gt(plus(Y_12_220,n1),X_3_4)
| gt(Y_12_220,minus(X_3_4,n1))
| def_10(n1,X_3_4) ),
inference(superposition,[status(thm),theory(equality)],[c_8,c_1221]) ).
tff(c_109739,plain,
! [X_17_1228,Y_18_1229] :
( gt(X_17_1228,minus(n1,n1))
| def_10(n1,n1)
| ( Y_18_1229 = X_17_1228 )
| gt(Y_18_1229,X_17_1228) ),
inference(resolution,[status(thm)],[c_109694,c_1235]) ).
tff(c_110272,plain,
! [X_17_1228,Y_18_1229] :
( gt(X_17_1228,n0)
| def_10(n1,n1)
| ( Y_18_1229 = X_17_1228 )
| gt(Y_18_1229,X_17_1228) ),
inference(demodulation,[status(thm),theory(equality)],[c_1428,c_109739]) ).
tff(c_110524,plain,
! [X_17_1230,Y_18_1231] :
( gt(X_17_1230,n0)
| ( Y_18_1231 = X_17_1230 )
| gt(Y_18_1231,X_17_1230) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_110272]) ).
tff(c_81957,plain,
! [Y_30_164,X_11_1058] :
( ~ gt(Y_30_164,X_11_1058)
| gt(plus(Y_30_164,n1),n1) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_81801]) ).
tff(c_128439,plain,
! [Y_18_1329,X_17_1330] :
( gt(plus(Y_18_1329,n1),n1)
| gt(X_17_1330,n0)
| ( Y_18_1329 = X_17_1330 ) ),
inference(resolution,[status(thm)],[c_110524,c_81957]) ).
tff(c_128488,plain,
! [Y_18_1329,X_17_1330] :
( gt(Y_18_1329,minus(n1,n1))
| def_10(n1,n1)
| gt(X_17_1330,n0)
| ( Y_18_1329 = X_17_1330 ) ),
inference(resolution,[status(thm)],[c_128439,c_1235]) ).
tff(c_179997,plain,
! [Y_18_1329,X_17_1330] :
( gt(Y_18_1329,n0)
| def_10(n1,n1)
| gt(X_17_1330,n0)
| ( Y_18_1329 = X_17_1330 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1428,c_128488]) ).
tff(c_182015,plain,
! [Y_18_14705,X_17_14706] :
( gt(Y_18_14705,n0)
| gt(X_17_14706,n0)
| ( Y_18_14705 = X_17_14706 ) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_179997]) ).
tff(c_4,plain,
! [X_1_2] : gt(plus(X_1_2,n1),n0),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_10,plain,
! [Y_4_8,Z_5_9] :
( def_10(Y_4_8,plus(Z_5_9,Y_4_8))
| ( minus(plus(Z_5_9,Y_4_8),Y_4_8) = Z_5_9 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_7777,plain,
! [X_26_429] :
( gt(X_26_429,n1)
| ( n0 = X_26_429 )
| ( y_27(X_26_429) = n0 )
| gt(n0,y_27(X_26_429)) ),
inference(resolution,[status(thm)],[c_24,c_7732]) ).
tff(c_7953,plain,
! [X_26_433] :
( gt(X_26_433,n1)
| ( n0 = X_26_433 )
| ( y_27(X_26_433) = n0 ) ),
inference(negUnitSimplification,[status(thm)],[c_1218,c_7777]) ).
tff(c_8058,plain,
! [X_26_436] :
( ~ def_10(n1,X_26_436)
| ( n0 = X_26_436 )
| ( y_27(X_26_436) = n0 ) ),
inference(resolution,[status(thm)],[c_7953,c_12]) ).
tff(c_8065,plain,
! [Z_5_9] :
( ( plus(Z_5_9,n1) = n0 )
| ( y_27(plus(Z_5_9,n1)) = n0 )
| ( minus(plus(Z_5_9,n1),n1) = Z_5_9 ) ),
inference(resolution,[status(thm)],[c_10,c_8058]) ).
tff(c_8074,plain,
! [Z_5_9] :
( ( plus(Z_5_9,n1) = n0 )
| ( n0 = Z_5_9 )
| ( minus(plus(Z_5_9,n1),n1) = Z_5_9 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5217,c_8065]) ).
tff(c_8079,plain,
! [Z_5_437] :
( ( n0 = Z_5_437 )
| ( minus(plus(Z_5_437,n1),n1) = Z_5_437 ) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_8074]) ).
tff(c_8097,plain,
! [Z_5_437] :
( gt(plus(Z_5_437,n1),Z_5_437)
| ~ gt(plus(Z_5_437,n1),n0)
| ( n0 = Z_5_437 ) ),
inference(superposition,[status(thm),theory(equality)],[c_8079,c_6]) ).
tff(c_8338,plain,
! [Z_5_440] :
( gt(plus(Z_5_440,n1),Z_5_440)
| ( n0 = Z_5_440 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_8097]) ).
tff(c_18,plain,
! [Y_12_16,X_11_17] :
( ~ gt(plus(Y_12_16,n1),plus(X_11_17,n1))
| gt(Y_12_16,X_11_17) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_8366,plain,
! [X_11_17] :
( gt(plus(X_11_17,n1),X_11_17)
| ( plus(X_11_17,n1) = n0 ) ),
inference(resolution,[status(thm)],[c_8338,c_18]) ).
tff(c_8493,plain,
! [X_11_443] : gt(plus(X_11_443,n1),X_11_443),
inference(negUnitSimplification,[status(thm)],[c_2,c_8366]) ).
tff(c_26,plain,
! [Y_20_25,X_19_26,Z_21_24] :
( ~ gt(Y_20_25,X_19_26)
| gt(Z_21_24,X_19_26)
| ~ gt(Z_21_24,Y_20_25) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_8939,plain,
! [Z_21_453,X_11_454] :
( gt(Z_21_453,X_11_454)
| ~ gt(Z_21_453,plus(X_11_454,n1)) ),
inference(resolution,[status(thm)],[c_8493,c_26]) ).
tff(c_9301,plain,
! [Y_12_462,X_11_463] :
( gt(plus(Y_12_462,n1),X_11_463)
| ~ gt(Y_12_462,X_11_463) ),
inference(resolution,[status(thm)],[c_16,c_8939]) ).
tff(c_9429,plain,
! [Y_12_466] : ~ gt(Y_12_466,plus(Y_12_466,n1)),
inference(resolution,[status(thm)],[c_9301,c_34]) ).
tff(c_9495,plain,
! [X_26_467] :
( ~ gt(y_27(X_26_467),X_26_467)
| ( n0 = X_26_467 ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_9429]) ).
tff(c_9633,plain,
( ( int_level(t_139) = n0 )
| ~ gt(y_27(int_level(t_139)),fifo_length) ),
inference(resolution,[status(thm)],[c_597,c_9495]) ).
tff(c_10738,plain,
~ gt(y_27(int_level(t_139)),fifo_length),
inference(splitLeft,[status(thm)],[c_9633]) ).
tff(c_10756,plain,
( gt(fifo_length,y_27(int_level(t_139)))
| ( y_27(int_level(t_139)) = fifo_length ) ),
inference(resolution,[status(thm)],[c_24,c_10738]) ).
tff(c_65417,plain,
y_27(int_level(t_139)) = fifo_length,
inference(splitLeft,[status(thm)],[c_10756]) ).
tff(c_8556,plain,
! [X_26_30] :
( gt(X_26_30,y_27(X_26_30))
| ( n0 = X_26_30 ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_8493]) ).
tff(c_65521,plain,
( gt(int_level(t_139),fifo_length)
| ( int_level(t_139) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_65417,c_8556]) ).
tff(c_65614,plain,
int_level(t_139) = n0,
inference(negUnitSimplification,[status(thm)],[c_193,c_65521]) ).
tff(c_65654,plain,
( ( int_level(plus(t_139,n1)) = int_level(t_139) )
| gt(n0,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_65614,c_156]) ).
tff(c_65698,plain,
( ( n0 = fifo_length )
| gt(n0,n0)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_65614,c_224,c_65654]) ).
tff(c_65700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_1218,c_1503,c_65698]) ).
tff(c_65702,plain,
y_27(int_level(t_139)) != fifo_length,
inference(splitRight,[status(thm)],[c_10756]) ).
tff(c_207122,plain,
! [Y_18_14705] :
( ( fifo_length != Y_18_14705 )
| gt(Y_18_14705,n0)
| gt(y_27(int_level(t_139)),n0) ),
inference(superposition,[status(thm),theory(equality)],[c_182015,c_65702]) ).
tff(c_485693,plain,
gt(y_27(int_level(t_139)),n0),
inference(splitLeft,[status(thm)],[c_207122]) ).
tff(c_4370,plain,
! [X_11_332] : ~ gt(n1,plus(X_11_332,n1)),
inference(negUnitSimplification,[status(thm)],[c_1218,c_1251]) ).
tff(c_11054,plain,
! [X_11_497] :
( ~ def_10(n1,plus(X_11_497,n1))
| ( plus(X_11_497,n1) = n1 ) ),
inference(resolution,[status(thm)],[c_467,c_4370]) ).
tff(c_101318,plain,
! [X_26_1176] :
( ~ def_10(n1,X_26_1176)
| ( plus(y_27(X_26_1176),n1) = n1 )
| ( n0 = X_26_1176 ) ),
inference(superposition,[status(thm),theory(equality)],[c_32,c_11054]) ).
tff(c_101798,plain,
! [X_11_15,X_26_1176] :
( gt(n1,plus(X_11_15,n1))
| ~ gt(y_27(X_26_1176),X_11_15)
| ~ def_10(n1,X_26_1176)
| ( n0 = X_26_1176 ) ),
inference(superposition,[status(thm),theory(equality)],[c_101318,c_16]) ).
tff(c_101942,plain,
! [X_26_1176,X_11_15] :
( ~ gt(y_27(X_26_1176),X_11_15)
| ~ def_10(n1,X_26_1176)
| ( n0 = X_26_1176 ) ),
inference(negUnitSimplification,[status(thm)],[c_4369,c_101798]) ).
tff(c_486218,plain,
( ~ def_10(n1,int_level(t_139))
| ( int_level(t_139) = n0 ) ),
inference(resolution,[status(thm)],[c_485693,c_101942]) ).
tff(c_488526,plain,
~ def_10(n1,int_level(t_139)),
inference(splitLeft,[status(thm)],[c_486218]) ).
tff(c_488584,plain,
int_level(t_139) != n0,
inference(resolution,[status(thm)],[c_542,c_488526]) ).
tff(c_7801,plain,
! [X_26_429] :
( gt(X_26_429,n1)
| ( n0 = X_26_429 )
| ( plus(y_27(X_26_429),n1) = n1 ) ),
inference(resolution,[status(thm)],[c_4535,c_7732]) ).
tff(c_486229,plain,
gt(plus(y_27(int_level(t_139)),n1),n1),
inference(resolution,[status(thm)],[c_485693,c_81957]) ).
tff(c_489823,plain,
( gt(n1,n1)
| gt(int_level(t_139),n1)
| ( int_level(t_139) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_7801,c_486229]) ).
tff(c_489971,plain,
gt(int_level(t_139),n1),
inference(negUnitSimplification,[status(thm)],[c_488584,c_34,c_489823]) ).
tff(c_8425,plain,
! [X_11_17] : gt(plus(X_11_17,n1),X_11_17),
inference(negUnitSimplification,[status(thm)],[c_2,c_8366]) ).
tff(c_83729,plain,
! [X_26_1069] :
( gt(n1,y_27(X_26_1069))
| gt(X_26_1069,n1)
| ( n0 = X_26_1069 ) ),
inference(superposition,[status(thm),theory(equality)],[c_78508,c_8425]) ).
tff(c_83869,plain,
! [Y_30_164] :
( gt(n1,Y_30_164)
| gt(plus(Y_30_164,n1),n1)
| ( plus(Y_30_164,n1) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_5217,c_83729]) ).
tff(c_84408,plain,
! [Y_30_1073] :
( gt(n1,Y_30_1073)
| gt(plus(Y_30_1073,n1),n1) ),
inference(negUnitSimplification,[status(thm)],[c_2,c_83869]) ).
tff(c_84426,plain,
! [Y_30_1073] :
( gt(Y_30_1073,minus(n1,n1))
| def_10(n1,n1)
| gt(n1,Y_30_1073) ),
inference(resolution,[status(thm)],[c_84408,c_1235]) ).
tff(c_84512,plain,
! [Y_30_1073] :
( gt(Y_30_1073,n0)
| def_10(n1,n1)
| gt(n1,Y_30_1073) ),
inference(demodulation,[status(thm),theory(equality)],[c_1428,c_84426]) ).
tff(c_84550,plain,
! [Y_30_1074] :
( gt(Y_30_1074,n0)
| gt(n1,Y_30_1074) ),
inference(negUnitSimplification,[status(thm)],[c_14,c_84512]) ).
tff(c_84933,plain,
! [Z_21_24,Y_30_1074] :
( gt(Z_21_24,n0)
| ~ gt(Z_21_24,Y_30_1074)
| gt(n1,Y_30_1074) ),
inference(resolution,[status(thm)],[c_84550,c_26]) ).
tff(c_490018,plain,
( gt(int_level(t_139),n0)
| gt(n1,n1) ),
inference(resolution,[status(thm)],[c_489971,c_84933]) ).
tff(c_490347,plain,
gt(int_level(t_139),n0),
inference(negUnitSimplification,[status(thm)],[c_34,c_490018]) ).
tff(c_142,plain,
! [X_t_42_110] :
( ( minus(int_level(X_t_42_110),n1) = int_level(plus(X_t_42_110,n1)) )
| ~ gt(int_level(X_t_42_110),n0)
| ~ p_Rd(X_t_42_110)
| p_Wr(X_t_42_110)
| p_Reset(X_t_42_110) ),
inference(cnfTransformation,[status(thm)],[f_720]) ).
tff(c_490436,plain,
( ( minus(int_level(t_139),n1) = int_level(plus(t_139,n1)) )
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[c_490347,c_142]) ).
tff(c_490764,plain,
( ( minus(int_level(t_139),n1) = fifo_length )
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_224,c_490436]) ).
tff(c_490765,plain,
minus(int_level(t_139),n1) = fifo_length,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_490764]) ).
tff(c_57195,plain,
! [Z_21_883,X_2_884] :
( gt(Z_21_883,minus(X_2_884,n1))
| ~ gt(Z_21_883,X_2_884)
| ~ gt(X_2_884,n0) ),
inference(resolution,[status(thm)],[c_6,c_576]) ).
tff(c_57337,plain,
! [X_2_884] :
( ~ gt(minus(X_2_884,n1),X_2_884)
| ~ gt(X_2_884,n0) ),
inference(resolution,[status(thm)],[c_57195,c_34]) ).
tff(c_492099,plain,
( ~ gt(fifo_length,int_level(t_139))
| ~ gt(int_level(t_139),n0) ),
inference(superposition,[status(thm),theory(equality)],[c_490765,c_57337]) ).
tff(c_492697,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_490347,c_471,c_492099]) ).
tff(c_492698,plain,
int_level(t_139) = n0,
inference(splitRight,[status(thm)],[c_486218]) ).
tff(c_492822,plain,
( ( int_level(plus(t_139,n1)) = int_level(t_139) )
| gt(n0,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_492698,c_156]) ).
tff(c_493176,plain,
( ( n0 = fifo_length )
| gt(n0,n0)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_492698,c_224,c_492822]) ).
tff(c_493178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_1218,c_1503,c_493176]) ).
tff(c_493180,plain,
~ gt(y_27(int_level(t_139)),n0),
inference(splitRight,[status(thm)],[c_207122]) ).
tff(c_493698,plain,
( ~ def_10(n1,n0)
| ( n1 = n0 )
| ( y_27(int_level(t_139)) = n0 ) ),
inference(resolution,[status(thm)],[c_118674,c_493180]) ).
tff(c_493819,plain,
( ( n1 = n0 )
| ( y_27(int_level(t_139)) = n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_548,c_493698]) ).
tff(c_493820,plain,
y_27(int_level(t_139)) = n0,
inference(negUnitSimplification,[status(thm)],[c_205,c_493819]) ).
tff(c_495801,plain,
( ( plus(n0,n1) = int_level(t_139) )
| ( int_level(t_139) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_493820,c_32]) ).
tff(c_496433,plain,
( ( int_level(t_139) = n1 )
| ( int_level(t_139) = n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_495801]) ).
tff(c_498833,plain,
int_level(t_139) = n0,
inference(splitLeft,[status(thm)],[c_496433]) ).
tff(c_498947,plain,
( ( int_level(plus(t_139,n1)) = int_level(t_139) )
| gt(n0,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_498833,c_156]) ).
tff(c_499301,plain,
( ( n0 = fifo_length )
| gt(n0,n0)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_498833,c_224,c_498947]) ).
tff(c_499303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_1218,c_1503,c_499301]) ).
tff(c_499304,plain,
int_level(t_139) = n1,
inference(splitRight,[status(thm)],[c_496433]) ).
tff(c_8228,plain,
! [X_t_42_439] :
( ( minus(int_level(X_t_42_439),n1) = int_level(plus(X_t_42_439,n1)) )
| ~ gt(int_level(X_t_42_439),n0)
| ~ p_Rd(X_t_42_439)
| p_Wr(X_t_42_439)
| p_Reset(X_t_42_439) ),
inference(cnfTransformation,[status(thm)],[f_720]) ).
tff(c_8289,plain,
! [X_t_42_119] :
( ( minus(int_level(X_t_42_119),n1) = int_level(plus(X_t_42_119,n1)) )
| ( int_level(plus(X_t_42_119,n1)) = int_level(X_t_42_119) )
| ~ p_Rd(X_t_42_119)
| p_Wr(X_t_42_119)
| p_Reset(X_t_42_119) ),
inference(resolution,[status(thm)],[c_156,c_8228]) ).
tff(c_499467,plain,
( ( int_level(plus(t_139,n1)) = minus(n1,n1) )
| ( int_level(plus(t_139,n1)) = int_level(t_139) )
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_499304,c_8289]) ).
tff(c_499831,plain,
( ( n0 = fifo_length )
| ( n1 = fifo_length )
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_499304,c_224,c_224,c_1428,c_499467]) ).
tff(c_499833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_4057,c_1503,c_499831]) ).
tff(c_499834,plain,
n1 = fifo_length,
inference(splitRight,[status(thm)],[c_1438]) ).
tff(c_499835,plain,
def_10(n1,fifo_length),
inference(splitRight,[status(thm)],[c_1438]) ).
tff(c_499882,plain,
def_10(fifo_length,fifo_length),
inference(demodulation,[status(thm),theory(equality)],[c_499834,c_499835]) ).
tff(c_499883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_499882]) ).
tff(c_499885,plain,
gt(n1,fifo_length),
inference(splitRight,[status(thm)],[c_1357]) ).
tff(c_499943,plain,
n0 = fifo_length,
inference(resolution,[status(thm)],[c_499885,c_1261]) ).
tff(c_499995,plain,
gt(fifo_length,fifo_length),
inference(demodulation,[status(thm),theory(equality)],[c_499943,c_192]) ).
tff(c_499998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_499995]) ).
tff(c_499999,plain,
int_level(t_139) = fifo_length,
inference(splitRight,[status(thm)],[c_468]) ).
tff(c_505215,plain,
! [X_t_42_74001] :
( ( minus(int_level(X_t_42_74001),n1) = int_level(plus(X_t_42_74001,n1)) )
| ~ gt(int_level(X_t_42_74001),n0)
| ~ p_Rd(X_t_42_74001)
| p_Wr(X_t_42_74001)
| p_Reset(X_t_42_74001) ),
inference(cnfTransformation,[status(thm)],[f_720]) ).
tff(c_505260,plain,
( ( minus(int_level(t_139),n1) = int_level(plus(t_139,n1)) )
| ~ gt(fifo_length,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_499999,c_505215]) ).
tff(c_505290,plain,
( ( y_27(fifo_length) = fifo_length )
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_192,c_502028,c_499999,c_224,c_505260]) ).
tff(c_505292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_503288,c_505290]) ).
tff(c_505293,plain,
y_27(fifo_length) = n1,
inference(splitRight,[status(thm)],[c_502621]) ).
tff(c_505294,plain,
def_10(n1,y_27(fifo_length)),
inference(splitRight,[status(thm)],[c_502621]) ).
tff(c_505344,plain,
def_10(n1,n1),
inference(demodulation,[status(thm),theory(equality)],[c_505293,c_505294]) ).
tff(c_505345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_505344]) ).
tff(c_505347,plain,
n1 = fifo_length,
inference(splitRight,[status(thm)],[c_502189]) ).
tff(c_505473,plain,
int_level(plus(t_139,fifo_length)) = fifo_length,
inference(demodulation,[status(thm),theory(equality)],[c_505347,c_224]) ).
tff(c_500895,plain,
! [Y_4_73880,Z_5_73881] :
( def_10(Y_4_73880,plus(Z_5_73881,Y_4_73880))
| ( minus(plus(Z_5_73881,Y_4_73880),Y_4_73880) = Z_5_73881 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_500914,plain,
! [X_31_34] :
( def_10(X_31_34,X_31_34)
| ( minus(plus(n0,X_31_34),X_31_34) = n0 ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_500895]) ).
tff(c_500918,plain,
! [X_31_34] :
( def_10(X_31_34,X_31_34)
| ( minus(X_31_34,X_31_34) = n0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_500914]) ).
tff(c_500919,plain,
! [X_31_34] : ( minus(X_31_34,X_31_34) = n0 ),
inference(negUnitSimplification,[status(thm)],[c_14,c_500918]) ).
tff(c_507270,plain,
! [X_t_42_74069] :
( ( minus(int_level(X_t_42_74069),fifo_length) = int_level(plus(X_t_42_74069,fifo_length)) )
| ~ gt(int_level(X_t_42_74069),n0)
| ~ p_Rd(X_t_42_74069)
| p_Wr(X_t_42_74069)
| p_Reset(X_t_42_74069) ),
inference(demodulation,[status(thm),theory(equality)],[c_505347,c_505347,c_142]) ).
tff(c_507312,plain,
( ( minus(int_level(t_139),fifo_length) = int_level(plus(t_139,fifo_length)) )
| ~ gt(fifo_length,n0)
| ~ p_Rd(t_139)
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(superposition,[status(thm),theory(equality)],[c_499999,c_507270]) ).
tff(c_507336,plain,
( ( n0 = fifo_length )
| p_Wr(t_139)
| p_Reset(t_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_192,c_505473,c_500919,c_499999,c_507312]) ).
tff(c_507338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_186,c_501694,c_507336]) ).
tff(c_507339,plain,
n1 = fifo_length,
inference(splitRight,[status(thm)],[c_501666]) ).
tff(c_507340,plain,
def_10(n1,fifo_length),
inference(splitRight,[status(thm)],[c_501666]) ).
tff(c_507415,plain,
def_10(fifo_length,fifo_length),
inference(demodulation,[status(thm),theory(equality)],[c_507339,c_507340]) ).
tff(c_507416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_507415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HWV017-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 4 00:09:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 63.21/48.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.31/48.35
% 63.31/48.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 63.31/48.41
% 63.31/48.41 Inference rules
% 63.31/48.41 ----------------------
% 63.31/48.41 #Ref : 19
% 63.31/48.41 #Sup : 68938
% 63.31/48.41 #Fact : 21
% 63.31/48.41 #Define : 0
% 63.31/48.41 #Split : 63
% 63.31/48.41 #Chain : 0
% 63.31/48.41 #Close : 0
% 63.31/48.41
% 63.31/48.41 Ordering : KBO
% 63.31/48.41
% 63.31/48.41 Simplification rules
% 63.31/48.41 ----------------------
% 63.31/48.41 #Subsume : 36235
% 63.31/48.41 #Demod : 33642
% 63.31/48.41 #Tautology : 15447
% 63.31/48.41 #SimpNegUnit : 14576
% 63.31/48.41 #BackRed : 399
% 63.31/48.41
% 63.31/48.41 #Partial instantiations: 88011
% 63.31/48.41 #Strategies tried : 1
% 63.31/48.41
% 63.31/48.41 Timing (in seconds)
% 63.31/48.41 ----------------------
% 63.31/48.41 Preprocessing : 0.72
% 63.31/48.41 Parsing : 0.38
% 63.31/48.41 CNF conversion : 0.05
% 63.31/48.42 Main loop : 46.54
% 63.31/48.42 Inferencing : 5.44
% 63.31/48.42 Reduction : 14.74
% 63.31/48.42 Demodulation : 8.53
% 63.31/48.42 BG Simplification : 0.30
% 63.31/48.42 Subsumption : 23.61
% 63.31/48.42 Abstraction : 0.53
% 63.31/48.42 MUC search : 0.00
% 63.31/48.42 Cooper : 0.00
% 63.31/48.42 Total : 47.39
% 63.31/48.42 Index Insertion : 0.00
% 63.31/48.42 Index Deletion : 0.00
% 63.31/48.42 Index Matching : 0.00
% 63.31/48.42 BG Taut test : 0.00
%------------------------------------------------------------------------------