%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV567-1.013 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 02:59:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 1.05s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 51
% Syntax : Number of clauses : 159 ( 133 unt; 26 nHn; 131 RR)
% Number of literals : 221 ( 220 equ; 38 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 52 con; 0-3 aty)
% Number of variables : 59 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hyp24,hypothesis,
earray_66 = store(earray_64,i,elem_65),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
cnf(hyp67,hypothesis,
earray_39 = earray_66,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp67) ).
cnf(a2,axiom,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
cnf(hyp23,hypothesis,
earray_64 = store(earray_62,elem_0,elem_63),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
cnf(hyp10,hypothesis,
earray_39 = store(earray_36,elem_37,elem_38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
cnf(hyp9,hypothesis,
earray_36 = store(earray_33,elem_34,elem_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
cnf(hyp22,hypothesis,
earray_62 = store(earray_60,elem_4,elem_61),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
cnf(hyp8,hypothesis,
earray_33 = store(earray_30,elem_31,elem_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
cnf(hyp21,hypothesis,
earray_60 = store(earray_58,elem_7,elem_59),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
cnf(hyp7,hypothesis,
earray_30 = store(earray_27,elem_28,elem_29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
cnf(hyp19,hypothesis,
earray_58 = store(earray_56,elem_10,elem_57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
cnf(hyp5,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
cnf(hyp18,hypothesis,
earray_56 = store(earray_54,elem_13,elem_55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
cnf(hyp4,hypothesis,
earray_24 = store(earray_21,elem_22,elem_23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
cnf(as2,axiom,
s(s(X1)) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as2) ).
cnf(as4,axiom,
s(s(s(s(X1)))) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as4) ).
cnf(as5,axiom,
s(s(s(s(s(X1))))) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as5) ).
cnf(as6,axiom,
s(s(s(s(s(s(X1)))))) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as6) ).
cnf(as3,axiom,
s(s(s(X1))) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as3) ).
cnf(as1,axiom,
s(X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as1) ).
cnf(hyp17,hypothesis,
earray_54 = store(earray_52,elem_16,elem_53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
cnf(a1,axiom,
select(store(X1,X2,X3),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
cnf(hyp3,hypothesis,
earray_21 = store(earray_18,elem_19,elem_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
cnf(hyp37,hypothesis,
elem_22 = s(elem_19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).
cnf(hyp39,hypothesis,
elem_25 = s(elem_22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).
cnf(hyp41,hypothesis,
elem_28 = s(elem_25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).
cnf(hyp43,hypothesis,
elem_31 = s(elem_28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).
cnf(hyp45,hypothesis,
elem_34 = s(elem_31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).
cnf(hyp47,hypothesis,
elem_37 = s(elem_34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).
cnf(hyp32,hypothesis,
elem_16 = s(elem_13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).
cnf(as7,axiom,
s(s(s(s(s(s(s(X1))))))) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',as7) ).
cnf(hyp16,hypothesis,
earray_52 = store(earray_50,elem_19,elem_51),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
cnf(hyp34,hypothesis,
elem_19 = s(elem_16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).
cnf(hyp28,hypothesis,
elem_10 = s(elem_7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
cnf(hyp30,hypothesis,
elem_13 = s(elem_10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
cnf(hyp26,hypothesis,
elem_0 = s(i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
cnf(hyp49,hypothesis,
elem_4 = s(elem_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).
cnf(hyp65,hypothesis,
elem_7 = s(elem_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp65) ).
cnf(hyp57,hypothesis,
s(elem_51) = elem_49,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp57) ).
cnf(hyp38,hypothesis,
elem_23 = s(elem_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).
cnf(hyp55,hypothesis,
s(elem_49) = elem_47,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp55) ).
cnf(hyp40,hypothesis,
elem_26 = s(elem_23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).
cnf(hyp54,hypothesis,
s(elem_47) = elem_45,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp54) ).
cnf(hyp42,hypothesis,
elem_29 = s(elem_26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).
cnf(hyp53,hypothesis,
s(elem_45) = elem_43,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp53) ).
cnf(hyp44,hypothesis,
elem_32 = s(elem_29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).
cnf(hyp52,hypothesis,
s(elem_43) = elem_41,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp52) ).
cnf(hyp46,hypothesis,
elem_35 = s(elem_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).
cnf(goal,negated_conjecture,
elem_38 != elem_40,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(hyp51,hypothesis,
s(elem_41) = elem_40,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp51) ).
cnf(hyp48,hypothesis,
elem_38 = s(elem_35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).
cnf(c_0_51,hypothesis,
earray_66 = store(earray_64,i,elem_65),
hyp24 ).
cnf(c_0_52,hypothesis,
earray_39 = earray_66,
hyp67 ).
cnf(c_0_53,axiom,
( select(store(X3,X1,X4),X2) = select(X3,X2)
| X1 = X2 ),
a2 ).
cnf(c_0_54,hypothesis,
store(earray_64,i,elem_65) = earray_39,
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,hypothesis,
earray_64 = store(earray_62,elem_0,elem_63),
hyp23 ).
cnf(c_0_56,hypothesis,
earray_39 = store(earray_36,elem_37,elem_38),
hyp10 ).
cnf(c_0_57,hypothesis,
earray_36 = store(earray_33,elem_34,elem_35),
hyp9 ).
cnf(c_0_58,hypothesis,
earray_62 = store(earray_60,elem_4,elem_61),
hyp22 ).
cnf(c_0_59,hypothesis,
( i = X1
| select(earray_64,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,hypothesis,
( elem_0 = X1
| select(earray_64,X1) = select(earray_62,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_55]) ).
cnf(c_0_61,hypothesis,
earray_33 = store(earray_30,elem_31,elem_32),
hyp8 ).
cnf(c_0_62,hypothesis,
( elem_37 = X1
| select(earray_36,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_56]) ).
cnf(c_0_63,hypothesis,
( elem_34 = X1
| select(earray_36,X1) = select(earray_33,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_57]) ).
cnf(c_0_64,hypothesis,
earray_60 = store(earray_58,elem_7,elem_59),
hyp21 ).
cnf(c_0_65,hypothesis,
( elem_4 = X1
| select(earray_62,X1) = select(earray_60,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_58]) ).
cnf(c_0_66,hypothesis,
( i = X1
| elem_0 = X1
| select(earray_62,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,hypothesis,
earray_30 = store(earray_27,elem_28,elem_29),
hyp7 ).
cnf(c_0_68,hypothesis,
( elem_31 = X1
| select(earray_33,X1) = select(earray_30,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_61]) ).
cnf(c_0_69,hypothesis,
( elem_37 = X1
| elem_34 = X1
| select(earray_33,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,hypothesis,
earray_58 = store(earray_56,elem_10,elem_57),
hyp19 ).
cnf(c_0_71,hypothesis,
( elem_7 = X1
| select(earray_60,X1) = select(earray_58,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_64]) ).
cnf(c_0_72,hypothesis,
( elem_4 = X1
| elem_0 = X1
| i = X1
| select(earray_60,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,hypothesis,
earray_27 = store(earray_24,elem_25,elem_26),
hyp5 ).
cnf(c_0_74,hypothesis,
( elem_28 = X1
| select(earray_30,X1) = select(earray_27,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]) ).
cnf(c_0_75,hypothesis,
( elem_31 = X1
| elem_34 = X1
| elem_37 = X1
| select(earray_30,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,hypothesis,
earray_56 = store(earray_54,elem_13,elem_55),
hyp18 ).
cnf(c_0_77,hypothesis,
( elem_10 = X1
| select(earray_58,X1) = select(earray_56,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_70]) ).
cnf(c_0_78,hypothesis,
( elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| select(earray_58,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,hypothesis,
earray_24 = store(earray_21,elem_22,elem_23),
hyp4 ).
cnf(c_0_80,hypothesis,
( elem_25 = X1
| select(earray_27,X1) = select(earray_24,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_73]) ).
cnf(c_0_81,hypothesis,
( elem_28 = X1
| elem_37 = X1
| elem_34 = X1
| elem_31 = X1
| select(earray_27,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
s(s(X1)) != X1,
inference(fof_simplification,[status(thm)],[as2]) ).
cnf(c_0_83,plain,
s(s(s(s(X1)))) != X1,
inference(fof_simplification,[status(thm)],[as4]) ).
cnf(c_0_84,plain,
s(s(s(s(s(X1))))) != X1,
inference(fof_simplification,[status(thm)],[as5]) ).
cnf(c_0_85,plain,
s(s(s(s(s(s(X1)))))) != X1,
inference(fof_simplification,[status(thm)],[as6]) ).
cnf(c_0_86,plain,
s(s(s(X1))) != X1,
inference(fof_simplification,[status(thm)],[as3]) ).
cnf(c_0_87,plain,
s(X1) != X1,
inference(fof_simplification,[status(thm)],[as1]) ).
cnf(c_0_88,hypothesis,
earray_54 = store(earray_52,elem_16,elem_53),
hyp17 ).
cnf(c_0_89,hypothesis,
( elem_13 = X1
| select(earray_56,X1) = select(earray_54,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_76]) ).
cnf(c_0_90,hypothesis,
( elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| select(earray_56,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,axiom,
select(store(X1,X2,X3),X2) = X3,
a1 ).
cnf(c_0_92,hypothesis,
earray_21 = store(earray_18,elem_19,elem_20),
hyp3 ).
cnf(c_0_93,hypothesis,
( elem_22 = X1
| select(earray_24,X1) = select(earray_21,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_79]) ).
cnf(c_0_94,hypothesis,
( elem_25 = X1
| elem_31 = X1
| elem_34 = X1
| elem_37 = X1
| elem_28 = X1
| select(earray_24,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_95,plain,
s(s(X1)) != X1,
c_0_82 ).
cnf(c_0_96,hypothesis,
elem_22 = s(elem_19),
hyp37 ).
cnf(c_0_97,hypothesis,
elem_25 = s(elem_22),
hyp39 ).
cnf(c_0_98,plain,
s(s(s(s(X1)))) != X1,
c_0_83 ).
cnf(c_0_99,hypothesis,
elem_28 = s(elem_25),
hyp41 ).
cnf(c_0_100,hypothesis,
elem_31 = s(elem_28),
hyp43 ).
cnf(c_0_101,plain,
s(s(s(s(s(X1))))) != X1,
c_0_84 ).
cnf(c_0_102,hypothesis,
elem_34 = s(elem_31),
hyp45 ).
cnf(c_0_103,plain,
s(s(s(s(s(s(X1)))))) != X1,
c_0_85 ).
cnf(c_0_104,hypothesis,
elem_37 = s(elem_34),
hyp47 ).
cnf(c_0_105,plain,
s(s(s(X1))) != X1,
c_0_86 ).
cnf(c_0_106,plain,
s(X1) != X1,
c_0_87 ).
cnf(c_0_107,hypothesis,
elem_16 = s(elem_13),
hyp32 ).
cnf(c_0_108,plain,
s(s(s(s(s(s(s(X1))))))) != X1,
inference(fof_simplification,[status(thm)],[as7]) ).
cnf(c_0_109,hypothesis,
earray_52 = store(earray_50,elem_19,elem_51),
hyp16 ).
cnf(c_0_110,hypothesis,
( elem_16 = X1
| select(earray_54,X1) = select(earray_52,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_88]) ).
cnf(c_0_111,hypothesis,
( elem_13 = X1
| elem_7 = X1
| i = X1
| elem_0 = X1
| elem_4 = X1
| elem_10 = X1
| select(earray_54,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_112,hypothesis,
select(earray_21,elem_19) = elem_20,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_113,hypothesis,
( elem_22 = X1
| elem_28 = X1
| elem_37 = X1
| elem_34 = X1
| elem_31 = X1
| elem_25 = X1
| select(earray_21,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_114,hypothesis,
elem_25 != elem_19,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_115,hypothesis,
elem_31 != elem_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_97]),c_0_99]),c_0_100]) ).
cnf(c_0_116,hypothesis,
elem_34 != elem_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_96]),c_0_97]),c_0_99]),c_0_100]),c_0_102]) ).
cnf(c_0_117,hypothesis,
elem_37 != elem_19,
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_103,c_0_96]),c_0_97]),c_0_99]),c_0_100]),c_0_102]),c_0_104]) ).
cnf(c_0_118,hypothesis,
elem_28 != elem_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_96]),c_0_97]),c_0_99]) ).
cnf(c_0_119,hypothesis,
elem_22 != elem_19,
inference(spm,[status(thm)],[c_0_106,c_0_96]) ).
cnf(c_0_120,hypothesis,
s(elem_16) != elem_13,
inference(spm,[status(thm)],[c_0_95,c_0_107]) ).
cnf(c_0_121,hypothesis,
elem_19 = s(elem_16),
hyp34 ).
cnf(c_0_122,hypothesis,
elem_10 = s(elem_7),
hyp28 ).
cnf(c_0_123,hypothesis,
elem_13 = s(elem_10),
hyp30 ).
cnf(c_0_124,plain,
s(s(s(s(s(s(s(X1))))))) != X1,
c_0_108 ).
cnf(c_0_125,hypothesis,
elem_0 = s(i),
hyp26 ).
cnf(c_0_126,hypothesis,
elem_4 = s(elem_0),
hyp49 ).
cnf(c_0_127,hypothesis,
elem_7 = s(elem_4),
hyp65 ).
cnf(c_0_128,hypothesis,
select(earray_52,elem_19) = elem_51,
inference(spm,[status(thm)],[c_0_91,c_0_109]) ).
cnf(c_0_129,hypothesis,
( elem_16 = X1
| elem_10 = X1
| elem_4 = X1
| elem_0 = X1
| i = X1
| elem_7 = X1
| elem_13 = X1
| select(earray_52,X1) = select(earray_39,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_130,hypothesis,
select(earray_39,elem_19) = elem_20,
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_112,c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_131,hypothesis,
elem_19 != elem_13,
inference(rw,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_132,hypothesis,
elem_19 != elem_7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_122]),c_0_123]),c_0_107]),c_0_121]) ).
cnf(c_0_133,hypothesis,
i != elem_19,
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_124,c_0_125]),c_0_126]),c_0_127]),c_0_122]),c_0_123]),c_0_107]),c_0_121]) ).
cnf(c_0_134,hypothesis,
elem_0 != elem_19,
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_103,c_0_126]),c_0_127]),c_0_122]),c_0_123]),c_0_107]),c_0_121]) ).
cnf(c_0_135,hypothesis,
elem_4 != elem_19,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_127]),c_0_122]),c_0_123]),c_0_107]),c_0_121]) ).
cnf(c_0_136,hypothesis,
elem_19 != elem_10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_123]),c_0_107]),c_0_121]) ).
cnf(c_0_137,hypothesis,
elem_19 != elem_16,
inference(spm,[status(thm)],[c_0_106,c_0_121]) ).
cnf(c_0_138,hypothesis,
s(elem_51) = elem_49,
hyp57 ).
cnf(c_0_139,hypothesis,
elem_51 = elem_20,
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_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]),c_0_137]) ).
cnf(c_0_140,hypothesis,
elem_23 = s(elem_20),
hyp38 ).
cnf(c_0_141,hypothesis,
s(elem_49) = elem_47,
hyp55 ).
cnf(c_0_142,hypothesis,
elem_49 = elem_23,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_143,hypothesis,
elem_26 = s(elem_23),
hyp40 ).
cnf(c_0_144,hypothesis,
s(elem_47) = elem_45,
hyp54 ).
cnf(c_0_145,hypothesis,
elem_47 = elem_26,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_146,hypothesis,
elem_29 = s(elem_26),
hyp42 ).
cnf(c_0_147,hypothesis,
s(elem_45) = elem_43,
hyp53 ).
cnf(c_0_148,hypothesis,
elem_45 = elem_29,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_149,hypothesis,
elem_32 = s(elem_29),
hyp44 ).
cnf(c_0_150,hypothesis,
s(elem_43) = elem_41,
hyp52 ).
cnf(c_0_151,hypothesis,
elem_43 = elem_32,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_152,hypothesis,
elem_35 = s(elem_32),
hyp46 ).
cnf(c_0_153,negated_conjecture,
elem_38 != elem_40,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_154,hypothesis,
s(elem_41) = elem_40,
hyp51 ).
cnf(c_0_155,hypothesis,
elem_41 = elem_35,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_156,hypothesis,
elem_38 = s(elem_35),
hyp48 ).
cnf(c_0_157,negated_conjecture,
elem_38 != elem_40,
c_0_153 ).
cnf(c_0_158,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_157]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV567-1.013 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n005.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 09:10:34 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.63 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/1.05 % Version: 3.5.1
% 0.14/1.05 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/1.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/1.05 % Starting new_bool_3 with 300s (1) cores
% 0.14/1.05 % Starting new_bool_1 with 300s (1) cores
% 0.14/1.05 % Starting sh5l with 300s (1) cores
% 0.14/1.05 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3096291 completed with status 0
% 0.14/1.05 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/1.05 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/1.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/1.05 % No SInE strategy applied
% 0.14/1.05 % Search class: FGUPF-FSLM32-DFFFFFNN
% 0.14/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/1.05 % Starting SubtermCWHack with 136s (1) cores
% 0.14/1.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/1.05 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/1.05 % Starting new_bool_3 with 136s (1) cores
% 0.14/1.05 % Starting new_bool_1 with 136s (1) cores
% 0.14/1.05 % new_bool_3 with pid 3096298 completed with status 0
% 0.14/1.05 % Result found by new_bool_3
% 0.14/1.05 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/1.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/1.05 % No SInE strategy applied
% 0.14/1.05 % Search class: FGUPF-FSLM32-DFFFFFNN
% 0.14/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/1.05 % Starting SubtermCWHack with 136s (1) cores
% 0.14/1.05 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/1.05 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/1.05 % Starting new_bool_3 with 136s (1) cores
% 0.14/1.05 % Preprocessing time : 0.028 s
% 0.14/1.05 % Presaturation interreduction done
% 0.14/1.05
% 0.14/1.05 % Proof found!
% 0.14/1.05 % SZS status Unsatisfiable
% 0.14/1.05 % SZS output start CNFRefutation
% See solution above
% 0.14/1.05 % Parsed axioms : 617
% 0.14/1.05 % Removed by relevancy pruning/SinE : 0
% 0.14/1.05 % Initial clauses : 617
% 0.14/1.05 % Removed in clause preprocessing : 0
% 0.14/1.05 % Initial clauses in saturation : 617
% 0.14/1.05 % Processed clauses : 1613
% 0.14/1.05 % ...of these trivial : 0
% 0.14/1.05 % ...subsumed : 7
% 0.14/1.05 % ...remaining for further processing : 1606
% 0.14/1.05 % Other redundant clauses eliminated : 0
% 0.14/1.05 % Clauses deleted for lack of memory : 0
% 0.14/1.05 % Backward-subsumed : 0
% 0.14/1.05 % Backward-rewritten : 173
% 0.14/1.05 % Generated clauses : 2836
% 0.14/1.05 % ...of the previous two non-redundant : 3008
% 0.14/1.05 % ...aggressively subsumed : 0
% 0.14/1.05 % Contextual simplify-reflections : 0
% 0.14/1.05 % Paramodulations : 2836
% 0.14/1.05 % Factorizations : 0
% 0.14/1.05 % NegExts : 0
% 0.14/1.05 % Equation resolutions : 0
% 0.14/1.05 % Disequality decompositions : 0
% 0.14/1.05 % Total rewrite steps : 15637
% 0.14/1.05 % ...of those cached : 15593
% 0.14/1.05 % Propositional unsat checks : 0
% 0.14/1.05 % Propositional check models : 0
% 0.14/1.05 % Propositional check unsatisfiable : 0
% 0.14/1.05 % Propositional clauses : 0
% 0.14/1.05 % Propositional clauses after purity: 0
% 0.14/1.05 % Propositional unsat core size : 0
% 0.14/1.05 % Propositional preprocessing time : 0.000
% 0.14/1.05 % Propositional encoding time : 0.000
% 0.14/1.05 % Propositional solver time : 0.000
% 0.14/1.05 % Success case prop preproc time : 0.000
% 0.14/1.05 % Success case prop encoding time : 0.000
% 0.14/1.05 % Success case prop solver time : 0.000
% 0.14/1.05 % Current number of processed clauses : 816
% 0.14/1.05 % Positive orientable unit clauses : 100
% 0.14/1.05 % Positive unorientable unit clauses: 0
% 0.14/1.05 % Negative unit clauses : 675
% 0.14/1.05 % Non-unit-clauses : 41
% 0.14/1.05 % Current number of unprocessed clauses: 2604
% 0.14/1.05 % ...number of literals in the above : 2619
% 0.14/1.05 % Current number of archived formulas : 0
% 0.14/1.05 % Current number of archived clauses : 790
% 0.14/1.05 % Clause-clause subsumption calls (NU) : 273
% 0.14/1.05 % Rec. Clause-clause subsumption calls : 18
% 0.14/1.05 % Non-unit clause-clause subsumptions : 0
% 0.14/1.05 % Unit Clause-clause subsumption calls : 67606
% 0.14/1.05 % Rewrite failures with RHS unbound : 0
% 0.14/1.05 % BW rewrite match attempts : 21
% 0.14/1.05 % BW rewrite match successes : 21
% 0.14/1.05 % Condensation attempts : 0
% 0.14/1.05 % Condensation successes : 0
% 0.14/1.05 % Termbank termtop insertions : 793826
% 0.14/1.05 % Search garbage collected termcells : 1094
% 0.14/1.05
% 0.14/1.05 % -------------------------------------------------
% 0.14/1.05 % User time : 0.314 s
% 0.14/1.05 % System time : 0.019 s
% 0.14/1.05 % Total time : 0.333 s
% 0.14/1.05 % Maximum resident set size: 5020 pages
% 0.14/1.05
% 0.14/1.05 % -------------------------------------------------
% 0.14/1.05 % User time : 1.482 s
% 0.14/1.05 % System time : 0.118 s
% 0.14/1.05 % Total time : 1.600 s
% 0.14/1.05 % Maximum resident set size: 5888 pages
% 0.14/1.05 % E exiting
%------------------------------------------------------------------------------