%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV567-1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:06:28 PM UTC 2026
% Result : Unsatisfiable 4.36s 6.24s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 58
% Syntax : Number of clauses : 181 ( 151 unt; 30 nHn; 149 RR)
% Number of literals : 260 ( 259 equ; 43 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 59 con; 0-3 aty)
% Number of variables : 66 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = 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(as2,axiom,
s(s(X1)) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as2) ).
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(hyp43,hypothesis,
elem_25 = s(elem_22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
cnf(as4,axiom,
s(s(s(s(X1)))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as4) ).
cnf(as7,axiom,
s(s(s(s(s(s(s(X1))))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as7) ).
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(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(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(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(as8,axiom,
s(s(s(s(s(s(s(s(X1)))))))) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',as8) ).
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(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(goal,negated_conjecture,
elem_44 != elem_46,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
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(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,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = 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,
( i = X1
| select(earray_74,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,hypothesis,
( elem_0 = X1
| select(earray_74,X1) = select(earray_72,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,
( elem_43 = X1
| select(earray_42,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_63]) ).
cnf(c_0_70,hypothesis,
( elem_40 = X1
| select(earray_42,X1) = select(earray_39,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,
( elem_4 = X1
| select(earray_72,X1) = select(earray_70,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_65]) ).
cnf(c_0_73,hypothesis,
( i = X1
| elem_0 = X1
| select(earray_72,X1) = select(earray_45,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,
( elem_37 = X1
| select(earray_39,X1) = select(earray_36,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_68]) ).
cnf(c_0_76,hypothesis,
( elem_43 = X1
| elem_40 = X1
| select(earray_39,X1) = select(earray_45,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,
( elem_7 = X1
| select(earray_70,X1) = select(earray_68,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_71]) ).
cnf(c_0_79,hypothesis,
( elem_4 = X1
| elem_0 = X1
| i = X1
| select(earray_70,X1) = select(earray_45,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,
( elem_34 = X1
| select(earray_36,X1) = select(earray_33,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_74]) ).
cnf(c_0_82,hypothesis,
( elem_37 = X1
| elem_40 = X1
| elem_43 = X1
| select(earray_36,X1) = select(earray_45,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,
( elem_10 = X1
| select(earray_68,X1) = select(earray_66,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_85,hypothesis,
( elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| select(earray_68,X1) = select(earray_45,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,
( elem_31 = X1
| select(earray_33,X1) = select(earray_30,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_80]) ).
cnf(c_0_88,hypothesis,
( elem_34 = X1
| elem_43 = X1
| elem_40 = X1
| elem_37 = X1
| select(earray_33,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_89,plain,
s(s(X1)) != X1,
inference(fof_simplification,[status(thm)],[as2]) ).
cnf(c_0_90,hypothesis,
earray_64 = store(earray_62,elem_16,elem_63),
hyp22 ).
cnf(c_0_91,hypothesis,
( elem_13 = X1
| select(earray_66,X1) = select(earray_64,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_92,hypothesis,
( elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| select(earray_66,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26),
hyp5 ).
cnf(c_0_94,hypothesis,
( elem_28 = X1
| select(earray_30,X1) = select(earray_27,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_86]) ).
cnf(c_0_95,hypothesis,
( elem_31 = X1
| elem_37 = X1
| elem_40 = X1
| elem_43 = X1
| elem_34 = X1
| select(earray_30,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
s(s(X1)) != X1,
c_0_89 ).
cnf(c_0_97,hypothesis,
elem_25 = s(elem_22),
hyp43 ).
cnf(c_0_98,plain,
s(s(s(s(X1)))) != X1,
inference(fof_simplification,[status(thm)],[as4]) ).
cnf(c_0_99,plain,
s(s(s(s(s(s(s(X1))))))) != X1,
inference(fof_simplification,[status(thm)],[as7]) ).
cnf(c_0_100,plain,
s(s(s(s(s(s(X1)))))) != X1,
inference(fof_simplification,[status(thm)],[as6]) ).
cnf(c_0_101,plain,
s(s(s(s(s(X1))))) != X1,
inference(fof_simplification,[status(thm)],[as5]) ).
cnf(c_0_102,plain,
s(s(s(X1))) != X1,
inference(fof_simplification,[status(thm)],[as3]) ).
cnf(c_0_103,plain,
s(X1) != X1,
inference(fof_simplification,[status(thm)],[as1]) ).
cnf(c_0_104,hypothesis,
earray_62 = store(earray_60,elem_19,elem_61),
hyp21 ).
cnf(c_0_105,hypothesis,
( elem_16 = X1
| select(earray_64,X1) = select(earray_62,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_90]) ).
cnf(c_0_106,hypothesis,
( elem_13 = X1
| elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| elem_10 = X1
| select(earray_64,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_107,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_108,hypothesis,
earray_24 = store(earray_21,elem_22,elem_23),
hyp4 ).
cnf(c_0_109,hypothesis,
( elem_25 = X1
| select(earray_27,X1) = select(earray_24,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_93]) ).
cnf(c_0_110,hypothesis,
( elem_28 = X1
| elem_34 = X1
| elem_43 = X1
| elem_40 = X1
| elem_37 = X1
| elem_31 = X1
| select(earray_27,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_111,hypothesis,
s(elem_25) != elem_22,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_112,hypothesis,
elem_28 = s(elem_25),
hyp45 ).
cnf(c_0_113,plain,
s(s(s(s(X1)))) != X1,
c_0_98 ).
cnf(c_0_114,hypothesis,
elem_31 = s(elem_28),
hyp47 ).
cnf(c_0_115,hypothesis,
elem_34 = s(elem_31),
hyp49 ).
cnf(c_0_116,plain,
s(s(s(s(s(s(s(X1))))))) != X1,
c_0_99 ).
cnf(c_0_117,hypothesis,
elem_37 = s(elem_34),
hyp51 ).
cnf(c_0_118,hypothesis,
elem_40 = s(elem_37),
hyp54 ).
cnf(c_0_119,hypothesis,
elem_43 = s(elem_40),
hyp56 ).
cnf(c_0_120,plain,
s(s(s(s(s(s(X1)))))) != X1,
c_0_100 ).
cnf(c_0_121,plain,
s(s(s(s(s(X1))))) != X1,
c_0_101 ).
cnf(c_0_122,plain,
s(s(s(X1))) != X1,
c_0_102 ).
cnf(c_0_123,plain,
s(X1) != X1,
c_0_103 ).
cnf(c_0_124,plain,
s(s(s(s(s(s(s(s(X1)))))))) != X1,
inference(fof_simplification,[status(thm)],[as8]) ).
cnf(c_0_125,hypothesis,
earray_60 = store(earray_58,elem_22,elem_59),
hyp20 ).
cnf(c_0_126,hypothesis,
( elem_19 = X1
| select(earray_62,X1) = select(earray_60,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_104]) ).
cnf(c_0_127,hypothesis,
( elem_16 = X1
| elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| elem_13 = X1
| select(earray_62,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_128,hypothesis,
select(earray_24,elem_22) = elem_23,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_129,hypothesis,
( elem_25 = X1
| elem_31 = X1
| elem_37 = X1
| elem_40 = X1
| elem_43 = X1
| elem_34 = X1
| elem_28 = X1
| select(earray_24,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_130,hypothesis,
elem_28 != elem_22,
inference(rw,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_131,hypothesis,
elem_34 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_97]),c_0_112]),c_0_114]),c_0_115]) ).
cnf(c_0_132,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_116,c_0_97]),c_0_112]),c_0_114]),c_0_115]),c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_133,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_120,c_0_97]),c_0_112]),c_0_114]),c_0_115]),c_0_117]),c_0_118]) ).
cnf(c_0_134,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_121,c_0_97]),c_0_112]),c_0_114]),c_0_115]),c_0_117]) ).
cnf(c_0_135,hypothesis,
elem_31 != elem_22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_97]),c_0_112]),c_0_114]) ).
cnf(c_0_136,hypothesis,
elem_25 != elem_22,
inference(spm,[status(thm)],[c_0_123,c_0_97]) ).
cnf(c_0_137,hypothesis,
elem_19 = s(elem_16),
hyp38 ).
cnf(c_0_138,hypothesis,
elem_22 = s(elem_19),
hyp41 ).
cnf(c_0_139,hypothesis,
elem_13 = s(elem_10),
hyp34 ).
cnf(c_0_140,hypothesis,
elem_16 = s(elem_13),
hyp36 ).
cnf(c_0_141,hypothesis,
elem_7 = s(elem_4),
hyp72 ).
cnf(c_0_142,hypothesis,
elem_10 = s(elem_7),
hyp32 ).
cnf(c_0_143,hypothesis,
elem_4 = s(elem_0),
hyp53 ).
cnf(c_0_144,plain,
s(s(s(s(s(s(s(s(X1)))))))) != X1,
c_0_124 ).
cnf(c_0_145,hypothesis,
elem_0 = s(i),
hyp30 ).
cnf(c_0_146,hypothesis,
select(earray_60,elem_22) = elem_59,
inference(spm,[status(thm)],[c_0_107,c_0_125]) ).
cnf(c_0_147,hypothesis,
( elem_19 = X1
| elem_13 = X1
| elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| elem_10 = X1
| elem_16 = X1
| select(earray_60,X1) = select(earray_45,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_148,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_128,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]),c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_149,hypothesis,
elem_22 != elem_16,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_137]),c_0_138]) ).
cnf(c_0_150,hypothesis,
elem_22 != elem_10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_139]),c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_151,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_120,c_0_141]),c_0_142]),c_0_139]),c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_152,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_116,c_0_143]),c_0_141]),c_0_142]),c_0_139]),c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_153,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_144,c_0_145]),c_0_143]),c_0_141]),c_0_142]),c_0_139]),c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_154,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_121,c_0_142]),c_0_139]),c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_155,hypothesis,
elem_22 != elem_13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_140]),c_0_137]),c_0_138]) ).
cnf(c_0_156,hypothesis,
elem_22 != elem_19,
inference(spm,[status(thm)],[c_0_123,c_0_138]) ).
cnf(c_0_157,hypothesis,
s(elem_59) = elem_57,
hyp66 ).
cnf(c_0_158,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_146,c_0_147]),c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),c_0_155]),c_0_156]) ).
cnf(c_0_159,hypothesis,
elem_26 = s(elem_23),
hyp44 ).
cnf(c_0_160,hypothesis,
s(elem_57) = elem_55,
hyp65 ).
cnf(c_0_161,hypothesis,
elem_57 = elem_26,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_162,hypothesis,
elem_29 = s(elem_26),
hyp46 ).
cnf(c_0_163,hypothesis,
s(elem_55) = elem_53,
hyp64 ).
cnf(c_0_164,hypothesis,
elem_55 = elem_29,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_165,hypothesis,
elem_32 = s(elem_29),
hyp48 ).
cnf(c_0_166,hypothesis,
s(elem_53) = elem_51,
hyp63 ).
cnf(c_0_167,hypothesis,
elem_53 = elem_32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_168,hypothesis,
elem_35 = s(elem_32),
hyp50 ).
cnf(c_0_169,hypothesis,
s(elem_51) = elem_49,
hyp62 ).
cnf(c_0_170,hypothesis,
elem_51 = elem_35,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_171,hypothesis,
elem_38 = s(elem_35),
hyp52 ).
cnf(c_0_172,hypothesis,
s(elem_49) = elem_47,
hyp60 ).
cnf(c_0_173,hypothesis,
elem_49 = elem_38,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170]),c_0_171]) ).
cnf(c_0_174,hypothesis,
elem_41 = s(elem_38),
hyp55 ).
cnf(c_0_175,negated_conjecture,
elem_44 != elem_46,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_176,hypothesis,
s(elem_47) = elem_46,
hyp59 ).
cnf(c_0_177,hypothesis,
elem_47 = elem_41,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_178,hypothesis,
elem_44 = s(elem_41),
hyp57 ).
cnf(c_0_179,negated_conjecture,
elem_44 != elem_46,
c_0_175 ).
cnf(c_0_180,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177]),c_0_178]),c_0_179]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV567-1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 09:11:03 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/6.24 % Version: 3.5.1
% 4.36/6.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.36/6.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.36/6.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.36/6.24 % Starting new_bool_3 with 300s (1) cores
% 4.36/6.24 % Starting new_bool_1 with 300s (1) cores
% 4.36/6.24 % Starting sh5l with 300s (1) cores
% 4.36/6.24 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 547616 completed with status 0
% 4.36/6.24 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 4.36/6.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.36/6.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.36/6.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.36/6.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.36/6.24 % No SInE strategy applied
% 4.36/6.24 % Search class: FGUPF-FSLM32-DFFFFFNN
% 4.36/6.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.36/6.24 % Starting SubtermCWHack with 136s (1) cores
% 4.36/6.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 4.36/6.24 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.36/6.24 % Starting new_bool_3 with 136s (1) cores
% 4.36/6.24 % Starting new_bool_1 with 136s (1) cores
% 4.36/6.24 % new_bool_3 with pid 547624 completed with status 0
% 4.36/6.24 % Result found by new_bool_3
% 4.36/6.24 % Preprocessing class: FSLSSMSMSSSNFFN.
% 4.36/6.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.36/6.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.36/6.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.36/6.24 % No SInE strategy applied
% 4.36/6.24 % Search class: FGUPF-FSLM32-DFFFFFNN
% 4.36/6.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.36/6.24 % Starting SubtermCWHack with 136s (1) cores
% 4.36/6.24 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 4.36/6.24 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.36/6.24 % Starting new_bool_3 with 136s (1) cores
% 4.36/6.24 % Preprocessing time : 0.041 s
% 4.36/6.24 % Presaturation interreduction done
% 4.36/6.24
% 4.36/6.24 % Proof found!
% 4.36/6.24 % SZS status Unsatisfiable
% 4.36/6.24 % SZS output start CNFRefutation
% See solution above
% 4.36/6.24 % Parsed axioms : 801
% 4.36/6.24 % Removed by relevancy pruning/SinE : 0
% 4.36/6.24 % Initial clauses : 801
% 4.36/6.24 % Removed in clause preprocessing : 0
% 4.36/6.24 % Initial clauses in saturation : 801
% 4.36/6.24 % Processed clauses : 1987
% 4.36/6.24 % ...of these trivial : 0
% 4.36/6.24 % ...subsumed : 7
% 4.36/6.24 % ...remaining for further processing : 1980
% 4.36/6.24 % Other redundant clauses eliminated : 0
% 4.36/6.24 % Clauses deleted for lack of memory : 0
% 4.36/6.24 % Backward-subsumed : 0
% 4.36/6.24 % Backward-rewritten : 210
% 4.36/6.24 % Generated clauses : 3852
% 4.36/6.24 % ...of the previous two non-redundant : 4061
% 4.36/6.24 % ...aggressively subsumed : 0
% 4.36/6.24 % Contextual simplify-reflections : 0
% 4.36/6.24 % Paramodulations : 3852
% 4.36/6.24 % Factorizations : 0
% 4.36/6.24 % NegExts : 0
% 4.36/6.24 % Equation resolutions : 0
% 4.36/6.24 % Disequality decompositions : 0
% 4.36/6.24 % Total rewrite steps : 24896
% 4.36/6.24 % ...of those cached : 24845
% 4.36/6.24 % Propositional unsat checks : 0
% 4.36/6.24 % Propositional check models : 0
% 4.36/6.24 % Propositional check unsatisfiable : 0
% 4.36/6.24 % Propositional clauses : 0
% 4.36/6.24 % Propositional clauses after purity: 0
% 4.36/6.24 % Propositional unsat core size : 0
% 4.36/6.24 % Propositional preprocessing time : 0.000
% 4.36/6.24 % Propositional encoding time : 0.000
% 4.36/6.24 % Propositional solver time : 0.000
% 4.36/6.24 % Success case prop preproc time : 0.000
% 4.36/6.24 % Success case prop encoding time : 0.000
% 4.36/6.24 % Success case prop solver time : 0.000
% 4.36/6.24 % Current number of processed clauses : 969
% 4.36/6.24 % Positive orientable unit clauses : 114
% 4.36/6.24 % Positive unorientable unit clauses: 0
% 4.36/6.24 % Negative unit clauses : 808
% 4.36/6.24 % Non-unit-clauses : 47
% 4.36/6.24 % Current number of unprocessed clauses: 3651
% 4.36/6.24 % ...number of literals in the above : 3668
% 4.36/6.24 % Current number of archived formulas : 0
% 4.36/6.24 % Current number of archived clauses : 1011
% 4.36/6.24 % Clause-clause subsumption calls (NU) : 316
% 4.36/6.24 % Rec. Clause-clause subsumption calls : 25
% 4.36/6.24 % Non-unit clause-clause subsumptions : 0
% 4.36/6.24 % Unit Clause-clause subsumption calls : 141611
% 4.36/6.24 % Rewrite failures with RHS unbound : 0
% 4.36/6.24 % BW rewrite match attempts : 24
% 4.36/6.24 % BW rewrite match successes : 24
% 4.36/6.24 % Condensation attempts : 0
% 4.36/6.24 % Condensation successes : 0
% 4.36/6.24 % Termbank termtop insertions : 1354254
% 4.36/6.24 % Search garbage collected termcells : 1442
% 4.36/6.24
% 4.36/6.24 % -------------------------------------------------
% 4.36/6.24 % User time : 0.514 s
% 4.36/6.24 % System time : 0.029 s
% 4.36/6.24 % Total time : 0.543 s
% 4.36/6.24 % Maximum resident set size: 5236 pages
% 4.36/6.24
% 4.36/6.24 % -------------------------------------------------
% 4.36/6.24 % User time : 2.634 s
% 4.36/6.24 % System time : 0.142 s
% 4.36/6.24 % Total time : 2.775 s
% 4.36/6.24 % Maximum resident set size: 5888 pages
% 4.36/6.24 % E exiting
%------------------------------------------------------------------------------