%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM274_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 01:04:44 PM UTC 2026
% Result : Theorem 20.90s 4.24s
% Output : CNFRefutation 20.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 241 ( 69 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 103 ( 45 ~; 31 |; 21 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 131 ( 131 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 73 ( 71 usr; 30 prp; 0-3 aty)
% Number of functors : 202 ( 202 usr; 16 con; 0-4 aty)
% Number of variables : 81 ( 0 sgn 67 !; 14 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
vconstant: vAval > vExp ).
tff(pred_def_1,type,
vexpIsValue: vExp > $o ).
tff(pred_def_2,type,
visValue: vQuestionnaire > $o ).
tff(pred_def_3,type,
visSomeAType: vOptAType > $o ).
tff(pred_def_4,type,
visSomeQC: vOptQConf > $o ).
tff(pred_def_5,type,
visSomeAval: vOptAval > $o ).
tff(pred_def_6,type,
visSomeExp: vOptExp > $o ).
tff(pred_def_7,type,
visSomeMapConf: vOptMapConf > $o ).
tff(pred_def_8,type,
visSomeQuestion: vOptQuestion > $o ).
tff(pred_def_9,type,
vptcheck: ( vMapConf * ( vQuestionnaire * vMapConf ) ) > $o ).
tff(pred_def_10,type,
sP0: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_11,type,
sP1: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_12,type,
sP2: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_13,type,
sP3: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_14,type,
sP4: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_15,type,
sP5: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_16,type,
sP6: ( vAval * ( vAval * vBinOpT ) ) > $o ).
tff(pred_def_17,type,
sP7: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_18,type,
sP8: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_19,type,
sP9: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_20,type,
sP10: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_21,type,
sP11: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_22,type,
sP12: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_23,type,
sP13: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_24,type,
sP14: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_25,type,
sP15: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_26,type,
sP16: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_27,type,
sP17: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_28,type,
sP18: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_29,type,
sP19: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_30,type,
sP20: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_31,type,
sP21: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_32,type,
sP22: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_33,type,
sP23: ( vAnsMap * vQID ) > $o ).
tff(pred_def_34,type,
sP24: ( vAnsMap * vQID ) > $o ).
tff(pred_def_35,type,
sP25: ( vATMap * vQID ) > $o ).
tff(pred_def_36,type,
sP26: ( vATMap * vQID ) > $o ).
tff(pred_def_37,type,
sP27: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(pred_def_38,type,
sP28: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(pred_def_39,type,
sP29: ( vQMap * vQID ) > $o ).
tff(pred_def_40,type,
sP30: ( vQMap * vQID ) > $o ).
tff(func_def_41,type,
vMC: ( vATMap * vATMap ) > vMapConf ).
tff(func_def_42,type,
vaddop: vBinOpT ).
tff(func_def_43,type,
vsomeQuestion: ( vAType * ( vLabel * vQID ) ) > vOptQuestion ).
tff(func_def_44,type,
vltop: vBinOpT ).
tff(func_def_45,type,
vqvar: vQID > vExp ).
tff(func_def_46,type,
vnoMapConf: vOptMapConf ).
tff(func_def_47,type,
vatmbind: ( vATMap * ( vAType * vQID ) ) > vATMap ).
tff(func_def_48,type,
vgtop: vBinOpT ).
tff(func_def_49,type,
vsempty: vstring ).
tff(func_def_50,type,
vqmbind: ( vQMap * ( vAType * ( vLabel * vQID ) ) ) > vQMap ).
tff(func_def_51,type,
vask: vQID > vEntry ).
tff(func_def_52,type,
vsomeAType: vAType > vOptAType ).
tff(func_def_53,type,
ve2: vExp ).
tff(func_def_54,type,
vnoQuestion: vOptQuestion ).
tff(func_def_55,type,
vqgroup: ( vQuestionnaire * vGID ) > vQuestionnaire ).
tff(func_def_56,type,
vatmempty: vATMap ).
tff(func_def_57,type,
vno: vYN ).
tff(func_def_58,type,
vvalue: ( vExp * ( vAType * vQID ) ) > vEntry ).
tff(func_def_59,type,
vgetAnswer: ( vAType * vLabel ) > vAval ).
tff(func_def_60,type,
vecheck: ( vExp * vATMap ) > vOptAType ).
tff(func_def_61,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_62,type,
venumGID: vGID > vGID ).
tff(func_def_63,type,
vaskText: vLabel > vstring ).
tff(func_def_64,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_65,type,
vtypeOf: vAval > vAType ).
tff(func_def_66,type,
vevalBinOp: ( vAval * ( vAval * vBinOpT ) ) > vOptExp ).
tff(func_def_67,type,
vgetQM: vQConf > vQMap ).
tff(func_def_68,type,
vinitQID: vQID ).
tff(func_def_69,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_70,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_71,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_72,type,
vlookupQMap: ( vQMap * vQID ) > vOptQuestion ).
tff(func_def_73,type,
vaskNumber: vLabel > vnat ).
tff(func_def_74,type,
vinitLabel: vLabel ).
tff(func_def_75,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_76,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_77,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_78,type,
vpred: vnat > vnat ).
tff(func_def_79,type,
vlookupATMap: ( vATMap * vQID ) > vOptAType ).
tff(func_def_80,type,
vqcappend: ( vQuestionnaire * vQConf ) > vQConf ).
tff(func_def_81,type,
venumchar: vchar > vchar ).
tff(func_def_82,type,
vinitchar: vchar ).
tff(func_def_83,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_84,type,
vevalUnOp: ( vAval * vUnOpT ) > vOptExp ).
tff(func_def_85,type,
vcheckBinOp: ( vAType * ( vAType * vBinOpT ) ) > vOptAType ).
tff(func_def_86,type,
vnot: vYN > vYN ).
tff(func_def_87,type,
vreduce: ( vQMap * ( vAnsMap * vQuestionnaire ) ) > vOptQConf ).
tff(func_def_88,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_89,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_90,type,
vcheckUnOp: ( vAType * vUnOpT ) > vOptAType ).
tff(func_def_91,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_92,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_93,type,
venumLabel: vLabel > vLabel ).
tff(func_def_94,type,
vinitGID: vGID ).
tff(func_def_95,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_96,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_97,type,
vlookupAnsMap: ( vAnsMap * vQID ) > vOptAval ).
tff(func_def_98,type,
vreduceExp: ( vAnsMap * vExp ) > vOptExp ).
tff(func_def_99,type,
venumQID: vQID > vQID ).
tff(func_def_100,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_101,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_102,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_103,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_104,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_105,type,
vgetAType: vOptAType > vAType ).
tff(func_def_106,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_107,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_108,type,
vgetExpValue: vExp > vAval ).
tff(func_def_109,type,
vgetAval: vOptAval > vAval ).
tff(func_def_110,type,
vgetExp: vOptExp > vExp ).
tff(func_def_111,type,
sK31: vAnsMap ).
tff(func_def_112,type,
sK32: vBinOpT ).
tff(func_def_113,type,
sK33: vAType ).
tff(func_def_114,type,
sK34: vExp > vExp ).
tff(func_def_115,type,
sK35: vExp > vAval ).
tff(func_def_116,type,
sK36: vExp > vAval ).
tff(func_def_117,type,
sK37: vOptExp > vExp ).
tff(func_def_118,type,
sK38: vAnsMap > vExp ).
tff(func_def_119,type,
sK39: vExp > vAval ).
tff(func_def_120,type,
sK40: vExp > vQID ).
tff(func_def_121,type,
sK41: vExp > vExp ).
tff(func_def_122,type,
sK42: vExp > vBinOpT ).
tff(func_def_123,type,
sK43: vExp > vExp ).
tff(func_def_124,type,
sK44: vExp > vUnOpT ).
tff(func_def_125,type,
sK45: vExp > vExp ).
tff(func_def_126,type,
sK46: vAnsMap > vExp ).
tff(func_def_127,type,
sK47: vAnsMap > vQID ).
tff(func_def_128,type,
sK48: vAnsMap > vAval ).
tff(func_def_129,type,
sK49: vAnsMap > vAnsMap ).
tff(func_def_130,type,
sK50: vAval > vnat ).
tff(func_def_131,type,
sK51: vAval > vnat ).
tff(func_def_132,type,
sK52: vAval > vnat ).
tff(func_def_133,type,
sK53: vAval > vnat ).
tff(func_def_134,type,
sK54: vAval > vnat ).
tff(func_def_135,type,
sK55: vAval > vnat ).
tff(func_def_136,type,
sK56: vAval > vnat ).
tff(func_def_137,type,
sK57: vAval > vnat ).
tff(func_def_138,type,
sK58: vAval > vnat ).
tff(func_def_139,type,
sK59: vAval > vnat ).
tff(func_def_140,type,
sK60: vAval > vYN ).
tff(func_def_141,type,
sK61: vAval > vYN ).
tff(func_def_142,type,
sK62: vAval > vYN ).
tff(func_def_143,type,
sK63: vAval > vYN ).
tff(func_def_144,type,
sK64: vAval > vnat ).
tff(func_def_145,type,
sK65: vAval > vnat ).
tff(func_def_146,type,
sK66: vOptExp > vExp ).
tff(func_def_147,type,
sK67: vOptAType > vAType ).
tff(func_def_148,type,
sK68: vOptAType > vAType ).
tff(func_def_149,type,
sK69: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_150,type,
sK70: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_151,type,
sK71: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_152,type,
sK72: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_153,type,
sK73: vMapConf > vATMap ).
tff(func_def_154,type,
sK74: vMapConf > vATMap ).
tff(func_def_155,type,
sK75: vEntry > vQID ).
tff(func_def_156,type,
sK76: vEntry > vLabel ).
tff(func_def_157,type,
sK77: vEntry > vAType ).
tff(func_def_158,type,
sK78: vEntry > vQID ).
tff(func_def_159,type,
sK79: vEntry > vAType ).
tff(func_def_160,type,
sK80: vEntry > vExp ).
tff(func_def_161,type,
sK81: vEntry > vQID ).
tff(func_def_162,type,
sK82: vEntry > vLabel ).
tff(func_def_163,type,
sK83: vEntry > vAType ).
tff(func_def_164,type,
sK84: vEntry > vQID ).
tff(func_def_165,type,
sK85: ( vQID * vATMap ) > vAType ).
tff(func_def_166,type,
sK86: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_167,type,
sK87: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_168,type,
sK88: ( vAType * ( vAType * vBinOpT ) ) > vBinOpT ).
tff(func_def_169,type,
sK89: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_170,type,
sK90: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_171,type,
sK91: ( vAnsMap * vQID ) > vQID ).
tff(func_def_172,type,
sK92: ( vAnsMap * vQID ) > vAval ).
tff(func_def_173,type,
sK93: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_174,type,
sK94: ( vAnsMap * vQID ) > vQID ).
tff(func_def_175,type,
sK95: ( vAnsMap * vQID ) > vQID ).
tff(func_def_176,type,
sK96: ( vAnsMap * vQID ) > vAval ).
tff(func_def_177,type,
sK97: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_178,type,
sK98: ( vAnsMap * vQID ) > vQID ).
tff(func_def_179,type,
sK99: ( vAnsMap * vQID ) > vQID ).
tff(func_def_180,type,
sK100: vAnsMap > vQID ).
tff(func_def_181,type,
sK101: vAnsMap > vAval ).
tff(func_def_182,type,
sK102: vAnsMap > vAnsMap ).
tff(func_def_183,type,
sK103: ( vATMap * vQID ) > vQID ).
tff(func_def_184,type,
sK104: ( vATMap * vQID ) > vAType ).
tff(func_def_185,type,
sK105: ( vATMap * vQID ) > vATMap ).
tff(func_def_186,type,
sK106: ( vATMap * vQID ) > vQID ).
tff(func_def_187,type,
sK107: ( vATMap * vQID ) > vQID ).
tff(func_def_188,type,
sK108: ( vATMap * vQID ) > vAType ).
tff(func_def_189,type,
sK109: ( vATMap * vQID ) > vATMap ).
tff(func_def_190,type,
sK110: ( vATMap * vQID ) > vQID ).
tff(func_def_191,type,
sK111: ( vATMap * vQID ) > vQID ).
tff(func_def_192,type,
sK112: vATMap > vQID ).
tff(func_def_193,type,
sK113: vATMap > vAType ).
tff(func_def_194,type,
sK114: vATMap > vATMap ).
tff(func_def_195,type,
sK115: vAval > vYN ).
tff(func_def_196,type,
sK116: vAval > vnat ).
tff(func_def_197,type,
sK117: vAval > vstring ).
tff(func_def_198,type,
sK118: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_199,type,
sK119: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_200,type,
sK120: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_201,type,
sK121: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_202,type,
sK122: vOptAval > vAval ).
tff(func_def_203,type,
sK123: vQConf > vAnsMap ).
tff(func_def_204,type,
sK124: vQConf > vQMap ).
tff(func_def_205,type,
sK125: vQConf > vQuestionnaire ).
tff(func_def_206,type,
sK126: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_207,type,
sK127: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_208,type,
sK128: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_209,type,
sK129: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_210,type,
sK130: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_211,type,
sK131: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_212,type,
sK132: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_213,type,
sK133: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_214,type,
sK134: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_215,type,
sK135: vOptQConf > vQConf ).
tff(func_def_216,type,
sK136: vOptAval > vAval ).
tff(func_def_217,type,
sK137: vAval > vYN ).
tff(func_def_218,type,
sK138: vAval > vnat ).
tff(func_def_219,type,
sK139: vAval > vstring ).
tff(func_def_220,type,
sK140: vOptQConf > vQConf ).
tff(func_def_221,type,
sK141: vOptQuestion > vQID ).
tff(func_def_222,type,
sK142: vOptQuestion > vLabel ).
tff(func_def_223,type,
sK143: vOptQuestion > vAType ).
tff(func_def_224,type,
sK144: ( vQMap * vQID ) > vQMap ).
tff(func_def_225,type,
sK145: ( vQMap * vQID ) > vQID ).
tff(func_def_226,type,
sK146: ( vQMap * vQID ) > vAType ).
tff(func_def_227,type,
sK147: ( vQMap * vQID ) > vLabel ).
tff(func_def_228,type,
sK148: ( vQMap * vQID ) > vQID ).
tff(func_def_229,type,
sK149: ( vQMap * vQID ) > vQMap ).
tff(func_def_230,type,
sK150: ( vQMap * vQID ) > vQID ).
tff(func_def_231,type,
sK151: ( vQMap * vQID ) > vAType ).
tff(func_def_232,type,
sK152: ( vQMap * vQID ) > vLabel ).
tff(func_def_233,type,
sK153: ( vQMap * vQID ) > vQID ).
tff(func_def_234,type,
sK154: ( vQMap * vQID ) > vQID ).
tff(func_def_235,type,
sK155: vOptQuestion > vQID ).
tff(func_def_236,type,
sK156: vOptQuestion > vLabel ).
tff(func_def_237,type,
sK157: vOptQuestion > vAType ).
tff(func_def_238,type,
sK158: vQMap > vQID ).
tff(func_def_239,type,
sK159: vQMap > vLabel ).
tff(func_def_240,type,
sK160: vQMap > vAType ).
tff(func_def_241,type,
sK161: vQMap > vQMap ).
tff(f59,axiom,
! [X0: vOptAType] :
( ? [X1: vAType] : ( X0 = vsomeAType(X1) )
| ( X0 = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptAType') ).
tff(f61,axiom,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noAType-someAType') ).
tff(f72,axiom,
! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).
tff(f184,axiom,
! [X0: vOptAType] :
( visSomeAType(X0)
=> ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeAType-true-INV') ).
tff(f227,axiom,
! [X0: vOptExp] :
( ~ visSomeExp(X0)
=> ( X0 = vnoExp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeExp-false-INV') ).
tff(f320,axiom,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ~ ( visSomeAType(vecheck(X0,X2))
& visSomeAType(vecheck(X0,X1)) )
=> ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','echeck-5') ).
tff(f360,axiom,
! [X0: vAnsMap,X1: vAType] :
( ( ( vecheck(vtypeAM(X0),ve1) = vsomeAType(X1) )
& ~ vexpIsValue(ve1) )
=> ? [X2: vExp] : ( vreduceExp(ve1,X0) = vsomeExp(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpProgress-binop-IH0') ).
tff(f362,conjecture,
! [X0: vAnsMap,X1: vBinOpT,X2: vAType] :
( ( ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ~ vexpIsValue(vbinop(ve1,X1,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X0)) )
=> ? [X3: vExp] : ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduceExpProgress-binop-expIsValue-False-isSomeExp-False') ).
tff(f363,negated_conjecture,
~ ! [X0: vAnsMap,X1: vBinOpT,X2: vAType] :
( ( ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ~ vexpIsValue(vbinop(ve1,X1,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X0)) )
=> ? [X3: vExp] : ( vreduceExp(vbinop(ve1,X1,ve2),X0) = vsomeExp(X3) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
tff(f367,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType] :
( ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ~ vexpIsValue(vbinop(ve1,X1,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X0))
& ! [X3: vExp] : ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(ennf_transformation,[],[f363]) ).
tff(f368,plain,
? [X0: vAnsMap,X1: vBinOpT,X2: vAType] :
( ( vecheck(vtypeAM(X0),vbinop(ve1,X1,ve2)) = vsomeAType(X2) )
& ~ vexpIsValue(vbinop(ve1,X1,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,X0))
& ! [X3: vExp] : ( vreduceExp(vbinop(ve1,X1,ve2),X0) != vsomeExp(X3) ) ),
inference(flattening,[],[f367]) ).
tff(f379,plain,
! [X0: vOptExp] :
( visSomeExp(X0)
| ( X0 = vnoExp ) ),
inference(ennf_transformation,[],[f227]) ).
tff(f381,plain,
! [X0: vAnsMap,X1: vAType] :
( ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve1) )
| vexpIsValue(ve1)
| ? [X2: vExp] : ( vreduceExp(ve1,X0) = vsomeExp(X2) ) ),
inference(ennf_transformation,[],[f360]) ).
tff(f382,plain,
! [X0: vAnsMap,X1: vAType] :
( ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve1) )
| vexpIsValue(ve1)
| ? [X2: vExp] : ( vreduceExp(ve1,X0) = vsomeExp(X2) ) ),
inference(flattening,[],[f381]) ).
tff(f383,plain,
! [X0: vATMap,X1: vExp,X2: vExp,X3: vBinOpT] :
( ( visSomeAType(vecheck(X0,X2))
& visSomeAType(vecheck(X0,X1)) )
| ( vecheck(X0,vbinop(X1,X3,X2)) = vnoAType ) ),
inference(ennf_transformation,[],[f320]) ).
tff(f402,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ? [X1: vAType] : ( X0 = vsomeAType(X1) ) ),
inference(ennf_transformation,[],[f184]) ).
tff(f528,plain,
( ( vsomeAType(sK33) = vecheck(vtypeAM(sK31),vbinop(ve1,sK32,ve2)) )
& ~ vexpIsValue(vbinop(ve1,sK32,ve2))
& ~ vexpIsValue(ve1)
& ~ visSomeExp(vreduceExp(ve1,sK31))
& ! [X3: vExp] : ( vsomeExp(X3) != vreduceExp(vbinop(ve1,sK32,ve2),sK31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33)],[f368]) ).
tff(f533,plain,
! [X0: vAnsMap,X1: vAType] :
( ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve1) )
| vexpIsValue(ve1)
| ( vreduceExp(ve1,X0) = vsomeExp(sK38(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X2,sK38(X0))],[f382]) ).
tff(f560,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ( vsomeAType(sK67(X0)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X1,sK67(X0))],[f402]) ).
tff(f561,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK68(X0)) = X0 )
| ( X0 = vnoAType ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X1,sK68(X0))],[f59]) ).
tff(f630,plain,
vsomeAType(sK33) = vecheck(vtypeAM(sK31),vbinop(ve1,sK32,ve2)),
inference(cnf_transformation,[],[f528]) ).
tff(f632,plain,
~ vexpIsValue(ve1),
inference(cnf_transformation,[],[f528]) ).
tff(f633,plain,
~ visSomeExp(vreduceExp(ve1,sK31)),
inference(cnf_transformation,[],[f528]) ).
tff(f644,plain,
! [X0: vOptExp] :
( visSomeExp(X0)
| ( vnoExp = X0 ) ),
inference(cnf_transformation,[],[f379]) ).
tff(f648,plain,
! [X0: vAnsMap,X1: vAType] :
( ( vsomeAType(X1) != vecheck(vtypeAM(X0),ve1) )
| vexpIsValue(ve1)
| ( vreduceExp(ve1,X0) = vsomeExp(sK38(X0)) ) ),
inference(cnf_transformation,[],[f533]) ).
tff(f650,plain,
! [X2: vExp,X3: vBinOpT,X0: vATMap,X1: vExp] :
( visSomeAType(vecheck(X0,X1))
| ( vnoAType = vecheck(X0,vbinop(X1,X3,X2)) ) ),
inference(cnf_transformation,[],[f383]) ).
tff(f698,plain,
! [X0: vExp] : ( vnoExp != vsomeExp(X0) ),
inference(cnf_transformation,[],[f72]) ).
tff(f707,plain,
! [X0: vOptAType] :
( ~ visSomeAType(X0)
| ( vsomeAType(sK67(X0)) = X0 ) ),
inference(cnf_transformation,[],[f560]) ).
tff(f711,plain,
! [X0: vAType] : ( vnoAType != vsomeAType(X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f712,plain,
! [X0: vOptAType] :
( ( vsomeAType(sK68(X0)) = X0 )
| ( vnoAType = X0 ) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_50,negated_conjecture,
~ visSomeExp(vreduceExp(ve1,sK31)),
inference(cnf_transformation,[],[f633]) ).
tcf(c_51,negated_conjecture,
~ vexpIsValue(ve1),
inference(cnf_transformation,[],[f632]) ).
tcf(c_53,negated_conjecture,
vecheck(vtypeAM(sK31),vbinop(ve1,sK32,ve2)) = vsomeAType(sK33),
inference(cnf_transformation,[],[f630]) ).
tcf(c_63,plain,
! [X0_vOptExp: vOptExp] :
( visSomeExp(X0_vOptExp)
| ( X0_vOptExp = vnoExp ) ),
inference(cnf_transformation,[],[f644]) ).
tcf(c_67,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( vexpIsValue(ve1)
| ( vsomeExp(sK38(X0_vAnsMap)) = vreduceExp(ve1,X0_vAnsMap) )
| ( vecheck(vtypeAM(X0_vAnsMap),ve1) != vsomeAType(X0_vAType) ) ),
inference(cnf_transformation,[],[f648]) ).
tcf(c_68,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( visSomeAType(vecheck(X0_vATMap,X0_vExp))
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(cnf_transformation,[],[f650]) ).
tcf(c_117,plain,
! [X0_vExp: vExp] : vsomeExp(X0_vExp) != vnoExp,
inference(cnf_transformation,[],[f698]) ).
tcf(c_126,plain,
! [X0_vOptAType: vOptAType] :
( ( vsomeAType(sK67(X0_vOptAType)) = X0_vOptAType )
| ~ visSomeAType(X0_vOptAType) ),
inference(cnf_transformation,[],[f707]) ).
tcf(c_130,plain,
! [X0_vAType: vAType] : vsomeAType(X0_vAType) != vnoAType,
inference(cnf_transformation,[],[f711]) ).
tcf(c_131,plain,
! [X0_vOptAType: vOptAType] :
( ( X0_vOptAType = vnoAType )
| ( vsomeAType(sK68(X0_vOptAType)) = X0_vOptAType ) ),
inference(cnf_transformation,[],[f712]) ).
tcf(c_746,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( vecheck(vtypeAM(X0_vAnsMap),ve1) != vsomeAType(X0_vAType) )
| ( vsomeExp(sK38(X0_vAnsMap)) = vreduceExp(ve1,X0_vAnsMap) ) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_51,c_67]) ).
tcf(c_747,plain,
! [X0_vAnsMap: vAnsMap,X0_vAType: vAType] :
( ( vsomeExp(sK38(X0_vAnsMap)) = vreduceExp(ve1,X0_vAnsMap) )
| ( vecheck(vtypeAM(X0_vAnsMap),ve1) != vsomeAType(X0_vAType) ) ),
inference(renaming,[status(thm)],[c_746]) ).
tcf(c_30862,plain,
vreduceExp(ve1,sK31) = vnoExp,
inference(superposition,[status(thm)],[c_63,c_50]) ).
tcf(c_31246,plain,
! [X0_vOptAType: vOptAType,X0_vAnsMap: vAnsMap] :
( ( X0_vOptAType = vnoAType )
| ( vsomeExp(sK38(X0_vAnsMap)) = vreduceExp(ve1,X0_vAnsMap) )
| ( vecheck(vtypeAM(X0_vAnsMap),ve1) != X0_vOptAType ) ),
inference(superposition,[status(thm)],[c_131,c_747]) ).
tcf(c_32040,plain,
! [X0_vATMap: vATMap,X0_vExp: vExp,X0_vBinOpT: vBinOpT,X1_vExp: vExp] :
( ( vsomeAType(sK67(vecheck(X0_vATMap,X0_vExp))) = vecheck(X0_vATMap,X0_vExp) )
| ( vecheck(X0_vATMap,vbinop(X0_vExp,X0_vBinOpT,X1_vExp)) = vnoAType ) ),
inference(superposition,[status(thm)],[c_68,c_126]) ).
tcf(c_32527,plain,
! [X0_vAnsMap: vAnsMap] :
( ( vsomeExp(sK38(X0_vAnsMap)) = vreduceExp(ve1,X0_vAnsMap) )
| ( vecheck(vtypeAM(X0_vAnsMap),ve1) = vnoAType ) ),
inference(equality_resolution,[status(thm)],[c_31246]) ).
tcf(c_42749,plain,
( ( vsomeAType(sK33) = vnoAType )
| ( vsomeAType(sK67(vecheck(vtypeAM(sK31),ve1))) = vecheck(vtypeAM(sK31),ve1) ) ),
inference(superposition,[status(thm)],[c_53,c_32040]) ).
tcf(c_42754,plain,
vsomeAType(sK67(vecheck(vtypeAM(sK31),ve1))) = vecheck(vtypeAM(sK31),ve1),
inference(forward_subsumption_resolution,[status(thm)],[c_42749,c_130]) ).
tcf(c_44492,plain,
vecheck(vtypeAM(sK31),ve1) != vnoAType,
inference(superposition,[status(thm)],[c_42754,c_130]) ).
tcf(c_55460,plain,
vsomeExp(sK38(sK31)) = vreduceExp(ve1,sK31),
inference(superposition,[status(thm)],[c_32527,c_44492]) ).
tcf(c_55463,plain,
vsomeExp(sK38(sK31)) = vnoExp,
inference(light_normalisation,[status(thm)],[c_55460,c_30862]) ).
tcf(c_55464,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_55463,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM274_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 08:04:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 20.90/4.24 % SZS status Started for theBenchmark.p
% 20.90/4.24 % SZS status Theorem for theBenchmark.p
% 20.90/4.24
% 20.90/4.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.90/4.24
% 20.90/4.24 % ------ iProver source info
% 20.90/4.24
% 20.90/4.24 % git: date: 2026-07-19 20:42:38 +0200
% 20.90/4.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.90/4.24 % git: non_committed_changes: false
% 20.90/4.24
% 20.90/4.24 % ------ Parsing...
% 20.90/4.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 20.90/4.24 %
% 20.90/4.24
% 20.90/4.24 % ------ Preprocessing... sup_sim: 2 pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 pe_s pe_e %
% 20.90/4.24
% 20.90/4.24 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 20.90/4.24 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 20.90/4.24 %
% 20.90/4.24
% 20.90/4.24 % ------ Preprocessing...
% 20.90/4.24 % ------ Proving...
% 20.90/4.24 % ------ Problem Properties
% 20.90/4.24
% 20.90/4.24 %
% 20.90/4.24 % clauses 387
% 20.90/4.24 % conjectures 5
% 20.90/4.24 % EPR 95
% 20.90/4.24 % Horn 311
% 20.90/4.24 % unary 119
% 20.90/4.24 % binary 200
% 20.90/4.24 % lits 801
% 20.90/4.24 % lits eq 510
% 20.90/4.24 % fd_pure 3
% 20.90/4.24 % fd_pseudo 0
% 20.90/4.24 % fd_cond 56
% 20.90/4.24 % fd_pseudo_cond 68
% 20.90/4.24 % AC symbols 0
% 20.90/4.24
% 20.90/4.24 % ------ Schedule dynamic 5 is on
% 20.90/4.24
% 20.90/4.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.90/4.24
% 20.90/4.24
% 20.90/4.24 % ------
% 20.90/4.24 % Current options:
% 20.90/4.24 % ------
% 20.90/4.24
% 20.90/4.24
% 20.90/4.24 %
% 20.90/4.24
% 20.90/4.24 % ------ Proving...
% 20.90/4.24 %
% 20.90/4.24
% 20.90/4.24 % SZS status Theorem for theBenchmark.p
% 20.90/4.24
% 20.90/4.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.90/4.24
% 20.90/4.24
%------------------------------------------------------------------------------