TSTP Solution File: SWV567-1.015 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV567-1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 21:47:15 EDT 2023
% Result : Unsatisfiable 1.24s 1.34s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 140
% Syntax : Number of formulae : 254 ( 142 unt; 82 typ; 0 def)
% Number of atoms : 251 ( 250 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 113 ( 34 ~; 79 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 82 ( 82 usr; 79 con; 0-3 aty)
% Number of variables : 58 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
store: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
select: ( $i * $i ) > $i ).
tff(decl_24,type,
s: $i > $i ).
tff(decl_25,type,
earray_12: $i ).
tff(decl_26,type,
earray_9: $i ).
tff(decl_27,type,
elem_10: $i ).
tff(decl_28,type,
elem_11: $i ).
tff(decl_29,type,
earray_15: $i ).
tff(decl_30,type,
elem_13: $i ).
tff(decl_31,type,
elem_14: $i ).
tff(decl_32,type,
earray_18: $i ).
tff(decl_33,type,
elem_16: $i ).
tff(decl_34,type,
elem_17: $i ).
tff(decl_35,type,
earray_21: $i ).
tff(decl_36,type,
elem_19: $i ).
tff(decl_37,type,
elem_20: $i ).
tff(decl_38,type,
earray_24: $i ).
tff(decl_39,type,
elem_22: $i ).
tff(decl_40,type,
elem_23: $i ).
tff(decl_41,type,
earray_27: $i ).
tff(decl_42,type,
elem_25: $i ).
tff(decl_43,type,
elem_26: $i ).
tff(decl_44,type,
earray_3: $i ).
tff(decl_45,type,
a: $i ).
tff(decl_46,type,
elem_0: $i ).
tff(decl_47,type,
elem_2: $i ).
tff(decl_48,type,
earray_30: $i ).
tff(decl_49,type,
elem_28: $i ).
tff(decl_50,type,
elem_29: $i ).
tff(decl_51,type,
earray_33: $i ).
tff(decl_52,type,
elem_31: $i ).
tff(decl_53,type,
elem_32: $i ).
tff(decl_54,type,
earray_36: $i ).
tff(decl_55,type,
elem_34: $i ).
tff(decl_56,type,
elem_35: $i ).
tff(decl_57,type,
earray_39: $i ).
tff(decl_58,type,
elem_37: $i ).
tff(decl_59,type,
elem_38: $i ).
tff(decl_60,type,
earray_42: $i ).
tff(decl_61,type,
elem_40: $i ).
tff(decl_62,type,
elem_41: $i ).
tff(decl_63,type,
earray_45: $i ).
tff(decl_64,type,
elem_43: $i ).
tff(decl_65,type,
elem_44: $i ).
tff(decl_66,type,
earray_48: $i ).
tff(decl_67,type,
elem_47: $i ).
tff(decl_68,type,
earray_50: $i ).
tff(decl_69,type,
elem_49: $i ).
tff(decl_70,type,
earray_52: $i ).
tff(decl_71,type,
elem_51: $i ).
tff(decl_72,type,
earray_54: $i ).
tff(decl_73,type,
elem_53: $i ).
tff(decl_74,type,
earray_56: $i ).
tff(decl_75,type,
elem_55: $i ).
tff(decl_76,type,
earray_58: $i ).
tff(decl_77,type,
elem_57: $i ).
tff(decl_78,type,
earray_6: $i ).
tff(decl_79,type,
elem_4: $i ).
tff(decl_80,type,
elem_5: $i ).
tff(decl_81,type,
earray_60: $i ).
tff(decl_82,type,
elem_59: $i ).
tff(decl_83,type,
earray_62: $i ).
tff(decl_84,type,
elem_61: $i ).
tff(decl_85,type,
earray_64: $i ).
tff(decl_86,type,
elem_63: $i ).
tff(decl_87,type,
earray_66: $i ).
tff(decl_88,type,
elem_65: $i ).
tff(decl_89,type,
earray_68: $i ).
tff(decl_90,type,
elem_67: $i ).
tff(decl_91,type,
earray_70: $i ).
tff(decl_92,type,
elem_7: $i ).
tff(decl_93,type,
elem_69: $i ).
tff(decl_94,type,
earray_72: $i ).
tff(decl_95,type,
elem_71: $i ).
tff(decl_96,type,
earray_74: $i ).
tff(decl_97,type,
elem_73: $i ).
tff(decl_98,type,
earray_76: $i ).
tff(decl_99,type,
i: $i ).
tff(decl_100,type,
elem_75: $i ).
tff(decl_101,type,
elem_8: $i ).
tff(decl_102,type,
elem_1: $i ).
tff(decl_103,type,
elem_46: $i ).
cnf(hyp28,hypothesis,
earray_76 = store(earray_74,i,elem_75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
cnf(hyp77,hypothesis,
earray_45 = earray_76,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp77) ).
cnf(a2,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
cnf(hyp27,hypothesis,
earray_74 = store(earray_72,elem_0,elem_73),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).
cnf(hyp12,hypothesis,
earray_45 = store(earray_42,elem_43,elem_44),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
cnf(hyp11,hypothesis,
earray_42 = store(earray_39,elem_40,elem_41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
cnf(hyp26,hypothesis,
earray_72 = store(earray_70,elem_4,elem_71),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
cnf(hyp10,hypothesis,
earray_39 = store(earray_36,elem_37,elem_38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp25,hypothesis,
earray_70 = store(earray_68,elem_7,elem_69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
cnf(hyp9,hypothesis,
earray_36 = store(earray_33,elem_34,elem_35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp24,hypothesis,
earray_68 = store(earray_66,elem_10,elem_67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp8,hypothesis,
earray_33 = store(earray_30,elem_31,elem_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp23,hypothesis,
earray_66 = store(earray_64,elem_13,elem_65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp7,hypothesis,
earray_30 = store(earray_27,elem_28,elem_29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp22,hypothesis,
earray_64 = store(earray_62,elem_16,elem_63),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp5,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
cnf(as2,axiom,
s(s(X1)) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as2) ).
cnf(hyp43,hypothesis,
elem_25 = s(elem_22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
cnf(hyp21,hypothesis,
earray_62 = store(earray_60,elem_19,elem_61),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(hyp4,hypothesis,
earray_24 = store(earray_21,elem_22,elem_23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
cnf(hyp45,hypothesis,
elem_28 = s(elem_25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).
cnf(as4,axiom,
s(s(s(s(X1)))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as4) ).
cnf(hyp47,hypothesis,
elem_31 = s(elem_28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).
cnf(hyp49,hypothesis,
elem_34 = s(elem_31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).
cnf(as7,axiom,
s(s(s(s(s(s(s(X1))))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as7) ).
cnf(hyp51,hypothesis,
elem_37 = s(elem_34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp51) ).
cnf(hyp54,hypothesis,
elem_40 = s(elem_37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp54) ).
cnf(hyp56,hypothesis,
elem_43 = s(elem_40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp56) ).
cnf(as6,axiom,
s(s(s(s(s(s(X1)))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as6) ).
cnf(as5,axiom,
s(s(s(s(s(X1))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as5) ).
cnf(as3,axiom,
s(s(s(X1))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as3) ).
cnf(as1,axiom,
s(X1) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as1) ).
cnf(hyp20,hypothesis,
earray_60 = store(earray_58,elem_22,elem_59),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
cnf(hyp38,hypothesis,
elem_19 = s(elem_16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).
cnf(hyp41,hypothesis,
elem_22 = s(elem_19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).
cnf(hyp34,hypothesis,
elem_13 = s(elem_10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).
cnf(hyp36,hypothesis,
elem_16 = s(elem_13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).
cnf(hyp72,hypothesis,
elem_7 = s(elem_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp72) ).
cnf(hyp32,hypothesis,
elem_10 = s(elem_7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).
cnf(hyp53,hypothesis,
elem_4 = s(elem_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp53) ).
cnf(as8,axiom,
s(s(s(s(s(s(s(s(X1)))))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as8) ).
cnf(hyp30,hypothesis,
elem_0 = s(i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).
cnf(hyp66,hypothesis,
s(elem_59) = elem_57,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).
cnf(hyp44,hypothesis,
elem_26 = s(elem_23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).
cnf(hyp65,hypothesis,
s(elem_57) = elem_55,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp65) ).
cnf(hyp46,hypothesis,
elem_29 = s(elem_26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).
cnf(hyp64,hypothesis,
s(elem_55) = elem_53,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp64) ).
cnf(hyp48,hypothesis,
elem_32 = s(elem_29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).
cnf(hyp63,hypothesis,
s(elem_53) = elem_51,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp63) ).
cnf(hyp50,hypothesis,
elem_35 = s(elem_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).
cnf(hyp62,hypothesis,
s(elem_51) = elem_49,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp62) ).
cnf(hyp52,hypothesis,
elem_38 = s(elem_35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp52) ).
cnf(hyp60,hypothesis,
s(elem_49) = elem_47,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp60) ).
cnf(hyp55,hypothesis,
elem_41 = s(elem_38),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp55) ).
cnf(hyp59,hypothesis,
s(elem_47) = elem_46,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp59) ).
cnf(hyp57,hypothesis,
elem_44 = s(elem_41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp57) ).
cnf(goal,negated_conjecture,
elem_44 != elem_46,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_58,hypothesis,
earray_76 = store(earray_74,i,elem_75),
hyp28 ).
cnf(c_0_59,hypothesis,
earray_45 = earray_76,
hyp77 ).
cnf(c_0_60,axiom,
( X1 = X2
| select(store(X3,X1,X4),X2) = select(X3,X2) ),
a2 ).
cnf(c_0_61,hypothesis,
store(earray_74,i,elem_75) = earray_45,
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,hypothesis,
earray_74 = store(earray_72,elem_0,elem_73),
hyp27 ).
cnf(c_0_63,hypothesis,
earray_45 = store(earray_42,elem_43,elem_44),
hyp12 ).
cnf(c_0_64,hypothesis,
earray_42 = store(earray_39,elem_40,elem_41),
hyp11 ).
cnf(c_0_65,hypothesis,
earray_72 = store(earray_70,elem_4,elem_71),
hyp26 ).
cnf(c_0_66,hypothesis,
( select(earray_74,X1) = select(earray_45,X1)
| i = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,hypothesis,
( select(earray_74,X1) = select(earray_72,X1)
| elem_0 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_68,hypothesis,
earray_39 = store(earray_36,elem_37,elem_38),
hyp10 ).
cnf(c_0_69,hypothesis,
( select(earray_42,X1) = select(earray_45,X1)
| elem_43 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_63]) ).
cnf(c_0_70,hypothesis,
( select(earray_42,X1) = select(earray_39,X1)
| elem_40 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_64]) ).
cnf(c_0_71,hypothesis,
earray_70 = store(earray_68,elem_7,elem_69),
hyp25 ).
cnf(c_0_72,hypothesis,
( select(earray_72,X1) = select(earray_70,X1)
| elem_4 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_65]) ).
cnf(c_0_73,hypothesis,
( select(earray_72,X1) = select(earray_45,X1)
| elem_0 = X1
| i = X1 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,hypothesis,
earray_36 = store(earray_33,elem_34,elem_35),
hyp9 ).
cnf(c_0_75,hypothesis,
( select(earray_39,X1) = select(earray_36,X1)
| elem_37 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_76,hypothesis,
( select(earray_39,X1) = select(earray_45,X1)
| elem_40 = X1
| elem_43 = X1 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,hypothesis,
earray_68 = store(earray_66,elem_10,elem_67),
hyp24 ).
cnf(c_0_78,hypothesis,
( select(earray_70,X1) = select(earray_68,X1)
| elem_7 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_71]) ).
cnf(c_0_79,hypothesis,
( select(earray_70,X1) = select(earray_45,X1)
| i = X1
| elem_0 = X1
| elem_4 = X1 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,hypothesis,
earray_33 = store(earray_30,elem_31,elem_32),
hyp8 ).
cnf(c_0_81,hypothesis,
( select(earray_36,X1) = select(earray_33,X1)
| elem_34 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_74]) ).
cnf(c_0_82,hypothesis,
( select(earray_36,X1) = select(earray_45,X1)
| elem_43 = X1
| elem_40 = X1
| elem_37 = X1 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,hypothesis,
earray_66 = store(earray_64,elem_13,elem_65),
hyp23 ).
cnf(c_0_84,hypothesis,
( select(earray_68,X1) = select(earray_66,X1)
| elem_10 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_85,hypothesis,
( select(earray_68,X1) = select(earray_45,X1)
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,hypothesis,
earray_30 = store(earray_27,elem_28,elem_29),
hyp7 ).
cnf(c_0_87,hypothesis,
( select(earray_33,X1) = select(earray_30,X1)
| elem_31 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_80]) ).
cnf(c_0_88,hypothesis,
( select(earray_33,X1) = select(earray_45,X1)
| elem_37 = X1
| elem_40 = X1
| elem_43 = X1
| elem_34 = X1 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,hypothesis,
earray_64 = store(earray_62,elem_16,elem_63),
hyp22 ).
cnf(c_0_90,hypothesis,
( select(earray_66,X1) = select(earray_64,X1)
| elem_13 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_91,hypothesis,
( select(earray_66,X1) = select(earray_45,X1)
| elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| elem_10 = X1 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26),
hyp5 ).
cnf(c_0_93,hypothesis,
( select(earray_30,X1) = select(earray_27,X1)
| elem_28 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_86]) ).
cnf(c_0_94,hypothesis,
( select(earray_30,X1) = select(earray_45,X1)
| elem_34 = X1
| elem_43 = X1
| elem_40 = X1
| elem_37 = X1
| elem_31 = X1 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,axiom,
s(s(X1)) != X1,
as2 ).
cnf(c_0_96,hypothesis,
elem_25 = s(elem_22),
hyp43 ).
cnf(c_0_97,hypothesis,
earray_62 = store(earray_60,elem_19,elem_61),
hyp21 ).
cnf(c_0_98,hypothesis,
( select(earray_64,X1) = select(earray_62,X1)
| elem_16 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_89]) ).
cnf(c_0_99,hypothesis,
( select(earray_64,X1) = select(earray_45,X1)
| elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| elem_13 = X1 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_101,hypothesis,
earray_24 = store(earray_21,elem_22,elem_23),
hyp4 ).
cnf(c_0_102,hypothesis,
( select(earray_27,X1) = select(earray_24,X1)
| elem_25 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_92]) ).
cnf(c_0_103,hypothesis,
( select(earray_27,X1) = select(earray_45,X1)
| elem_31 = X1
| elem_37 = X1
| elem_40 = X1
| elem_43 = X1
| elem_34 = X1
| elem_28 = X1 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,hypothesis,
s(elem_25) != elem_22,
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,hypothesis,
elem_28 = s(elem_25),
hyp45 ).
cnf(c_0_106,axiom,
s(s(s(s(X1)))) != X1,
as4 ).
cnf(c_0_107,hypothesis,
elem_31 = s(elem_28),
hyp47 ).
cnf(c_0_108,hypothesis,
elem_34 = s(elem_31),
hyp49 ).
cnf(c_0_109,axiom,
s(s(s(s(s(s(s(X1))))))) != X1,
as7 ).
cnf(c_0_110,hypothesis,
elem_37 = s(elem_34),
hyp51 ).
cnf(c_0_111,hypothesis,
elem_40 = s(elem_37),
hyp54 ).
cnf(c_0_112,hypothesis,
elem_43 = s(elem_40),
hyp56 ).
cnf(c_0_113,axiom,
s(s(s(s(s(s(X1)))))) != X1,
as6 ).
cnf(c_0_114,axiom,
s(s(s(s(s(X1))))) != X1,
as5 ).
cnf(c_0_115,axiom,
s(s(s(X1))) != X1,
as3 ).
cnf(c_0_116,axiom,
s(X1) != X1,
as1 ).
cnf(c_0_117,hypothesis,
earray_60 = store(earray_58,elem_22,elem_59),
hyp20 ).
cnf(c_0_118,hypothesis,
( select(earray_62,X1) = select(earray_60,X1)
| elem_19 = X1 ),
inference(spm,[status(thm)],[c_0_60,c_0_97]) ).
cnf(c_0_119,hypothesis,
( select(earray_62,X1) = select(earray_45,X1)
| elem_13 = X1
| elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| elem_10 = X1
| elem_16 = X1 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_120,hypothesis,
select(earray_24,elem_22) = elem_23,
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_121,hypothesis,
( select(earray_24,X1) = select(earray_45,X1)
| elem_28 = X1
| elem_34 = X1
| elem_43 = X1
| elem_40 = X1
| elem_37 = X1
| elem_31 = X1
| elem_25 = X1 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_122,hypothesis,
elem_28 != elem_22,
inference(rw,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_123,hypothesis,
elem_34 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_96]),c_0_105]),c_0_107]),c_0_108]) ).
cnf(c_0_124,hypothesis,
elem_43 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_96]),c_0_105]),c_0_107]),c_0_108]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_125,hypothesis,
elem_40 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_96]),c_0_105]),c_0_107]),c_0_108]),c_0_110]),c_0_111]) ).
cnf(c_0_126,hypothesis,
elem_37 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_96]),c_0_105]),c_0_107]),c_0_108]),c_0_110]) ).
cnf(c_0_127,hypothesis,
elem_31 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_96]),c_0_105]),c_0_107]) ).
cnf(c_0_128,hypothesis,
elem_25 != elem_22,
inference(spm,[status(thm)],[c_0_116,c_0_96]) ).
cnf(c_0_129,hypothesis,
elem_19 = s(elem_16),
hyp38 ).
cnf(c_0_130,hypothesis,
elem_22 = s(elem_19),
hyp41 ).
cnf(c_0_131,hypothesis,
elem_13 = s(elem_10),
hyp34 ).
cnf(c_0_132,hypothesis,
elem_16 = s(elem_13),
hyp36 ).
cnf(c_0_133,hypothesis,
elem_7 = s(elem_4),
hyp72 ).
cnf(c_0_134,hypothesis,
elem_10 = s(elem_7),
hyp32 ).
cnf(c_0_135,hypothesis,
elem_4 = s(elem_0),
hyp53 ).
cnf(c_0_136,axiom,
s(s(s(s(s(s(s(s(X1)))))))) != X1,
as8 ).
cnf(c_0_137,hypothesis,
elem_0 = s(i),
hyp30 ).
cnf(c_0_138,hypothesis,
select(earray_60,elem_22) = elem_59,
inference(spm,[status(thm)],[c_0_100,c_0_117]) ).
cnf(c_0_139,hypothesis,
( select(earray_60,X1) = select(earray_45,X1)
| elem_16 = X1
| elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| elem_13 = X1
| elem_19 = X1 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_140,hypothesis,
select(earray_45,elem_22) = elem_23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123]),c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_141,hypothesis,
elem_22 != elem_16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_129]),c_0_130]) ).
cnf(c_0_142,hypothesis,
elem_22 != elem_10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_131]),c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_143,hypothesis,
elem_4 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_133]),c_0_134]),c_0_131]),c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_144,hypothesis,
elem_0 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_135]),c_0_133]),c_0_134]),c_0_131]),c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_145,hypothesis,
i != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_135]),c_0_133]),c_0_134]),c_0_131]),c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_146,hypothesis,
elem_22 != elem_7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_134]),c_0_131]),c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_147,hypothesis,
elem_22 != elem_13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_132]),c_0_129]),c_0_130]) ).
cnf(c_0_148,hypothesis,
elem_22 != elem_19,
inference(spm,[status(thm)],[c_0_116,c_0_130]) ).
cnf(c_0_149,hypothesis,
s(elem_59) = elem_57,
hyp66 ).
cnf(c_0_150,hypothesis,
elem_59 = elem_23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]),c_0_142]),c_0_143]),c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_151,hypothesis,
elem_26 = s(elem_23),
hyp44 ).
cnf(c_0_152,hypothesis,
s(elem_57) = elem_55,
hyp65 ).
cnf(c_0_153,hypothesis,
elem_57 = elem_26,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_154,hypothesis,
elem_29 = s(elem_26),
hyp46 ).
cnf(c_0_155,hypothesis,
s(elem_55) = elem_53,
hyp64 ).
cnf(c_0_156,hypothesis,
elem_55 = elem_29,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_157,hypothesis,
elem_32 = s(elem_29),
hyp48 ).
cnf(c_0_158,hypothesis,
s(elem_53) = elem_51,
hyp63 ).
cnf(c_0_159,hypothesis,
elem_53 = elem_32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_160,hypothesis,
elem_35 = s(elem_32),
hyp50 ).
cnf(c_0_161,hypothesis,
s(elem_51) = elem_49,
hyp62 ).
cnf(c_0_162,hypothesis,
elem_51 = elem_35,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_163,hypothesis,
elem_38 = s(elem_35),
hyp52 ).
cnf(c_0_164,hypothesis,
s(elem_49) = elem_47,
hyp60 ).
cnf(c_0_165,hypothesis,
elem_49 = elem_38,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_166,hypothesis,
elem_41 = s(elem_38),
hyp55 ).
cnf(c_0_167,hypothesis,
s(elem_47) = elem_46,
hyp59 ).
cnf(c_0_168,hypothesis,
elem_47 = elem_41,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).
cnf(c_0_169,hypothesis,
elem_44 = s(elem_41),
hyp57 ).
cnf(c_0_170,negated_conjecture,
elem_44 != elem_46,
goal ).
cnf(c_0_171,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_170]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV567-1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:12:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.24/1.34 % Version : CSE_E---1.5
% 1.24/1.34 % Problem : theBenchmark.p
% 1.24/1.34 % Proof found
% 1.24/1.34 % SZS status Theorem for theBenchmark.p
% 1.24/1.34 % SZS output start Proof
% See solution above
% 1.24/1.35 % Total time : 0.600000 s
% 1.24/1.35 % SZS output end Proof
% 1.24/1.35 % Total time : 0.763000 s
%------------------------------------------------------------------------------