%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM269_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:04:43 PM UTC 2026
% Result : Theorem 10.92s 2.72s
% Output : CNFRefutation 10.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 34 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 65 ( 29 ~; 14 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 95 ( 95 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 73 ( 71 usr; 28 prp; 0-3 aty)
% Number of functors : 208 ( 208 usr; 19 con; 0-4 aty)
% Number of variables : 100 ( 0 sgn 76 !; 24 ?; 100 :)
% 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: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(pred_def_18,type,
sP8: ( vAnsMap * vQID ) > $o ).
tff(pred_def_19,type,
sP9: ( vAnsMap * vQID ) > $o ).
tff(pred_def_20,type,
sP10: ( vATMap * vQID ) > $o ).
tff(pred_def_21,type,
sP11: ( vATMap * vQID ) > $o ).
tff(pred_def_22,type,
sP12: ( vQMap * vQID ) > $o ).
tff(pred_def_23,type,
sP13: ( vQMap * vQID ) > $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: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_34,type,
sP24: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_35,type,
sP25: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_36,type,
sP26: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_37,type,
sP27: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_38,type,
sP28: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_39,type,
sP29: ( vAType * ( vAType * vBinOpT ) ) > $o ).
tff(pred_def_40,type,
sP30: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > $o ).
tff(func_def_41,type,
vaddop: vBinOpT ).
tff(func_def_42,type,
vsomeQuestion: ( vAType * ( vLabel * vQID ) ) > vOptQuestion ).
tff(func_def_43,type,
vltop: vBinOpT ).
tff(func_def_44,type,
vqvar: vQID > vExp ).
tff(func_def_45,type,
vnoMapConf: vOptMapConf ).
tff(func_def_46,type,
vatmbind: ( vATMap * ( vAType * vQID ) ) > vATMap ).
tff(func_def_47,type,
vgtop: vBinOpT ).
tff(func_def_48,type,
vsempty: vstring ).
tff(func_def_49,type,
vqmbind: ( vQMap * ( vAType * ( vLabel * vQID ) ) ) > vQMap ).
tff(func_def_50,type,
vask: vQID > vEntry ).
tff(func_def_51,type,
vsomeAType: vAType > vOptAType ).
tff(func_def_52,type,
vnoQuestion: vOptQuestion ).
tff(func_def_53,type,
vqgroup: ( vQuestionnaire * vGID ) > vQuestionnaire ).
tff(func_def_54,type,
vatmempty: vATMap ).
tff(func_def_55,type,
vno: vYN ).
tff(func_def_56,type,
vvalue: ( vExp * ( vAType * vQID ) ) > vEntry ).
tff(func_def_57,type,
vgetAnswer: ( vAType * vLabel ) > vAval ).
tff(func_def_58,type,
vecheck: ( vExp * vATMap ) > vOptAType ).
tff(func_def_59,type,
vgetAM: vQConf > vAnsMap ).
tff(func_def_60,type,
venumGID: vGID > vGID ).
tff(func_def_61,type,
vaskText: vLabel > vstring ).
tff(func_def_62,type,
vminus: ( vnat * vnat ) > vnat ).
tff(func_def_63,type,
vtypeOf: vAval > vAType ).
tff(func_def_64,type,
vevalBinOp: ( vAval * ( vAval * vBinOpT ) ) > vOptExp ).
tff(func_def_65,type,
vgetQM: vQConf > vQMap ).
tff(func_def_66,type,
vinitQID: vQID ).
tff(func_def_67,type,
vplus: ( vnat * vnat ) > vnat ).
tff(func_def_68,type,
vaskYesNo: vLabel > vYN ).
tff(func_def_69,type,
vtypeAM: vAnsMap > vATMap ).
tff(func_def_70,type,
vlookupQMap: ( vQMap * vQID ) > vOptQuestion ).
tff(func_def_71,type,
vaskNumber: vLabel > vnat ).
tff(func_def_72,type,
vinitLabel: vLabel ).
tff(func_def_73,type,
vdivide: ( vnat * vnat ) > vnat ).
tff(func_def_74,type,
vappendATMap: ( vATMap * vATMap ) > vATMap ).
tff(func_def_75,type,
vor: ( vYN * vYN ) > vYN ).
tff(func_def_76,type,
vpred: vnat > vnat ).
tff(func_def_77,type,
vlookupATMap: ( vATMap * vQID ) > vOptAType ).
tff(func_def_78,type,
vqcappend: ( vQuestionnaire * vQConf ) > vQConf ).
tff(func_def_79,type,
venumchar: vchar > vchar ).
tff(func_def_80,type,
vinitchar: vchar ).
tff(func_def_81,type,
vgetQuest: vQConf > vQuestionnaire ).
tff(func_def_82,type,
vevalUnOp: ( vAval * vUnOpT ) > vOptExp ).
tff(func_def_83,type,
vcheckBinOp: ( vAType * ( vAType * vBinOpT ) ) > vOptAType ).
tff(func_def_84,type,
vnot: vYN > vYN ).
tff(func_def_85,type,
vreduce: ( vQMap * ( vAnsMap * vQuestionnaire ) ) > vOptQConf ).
tff(func_def_86,type,
vmultiply: ( vnat * vnat ) > vnat ).
tff(func_def_87,type,
vappendAnsMap: ( vAnsMap * vAnsMap ) > vAnsMap ).
tff(func_def_88,type,
vcheckUnOp: ( vAType * vUnOpT ) > vOptAType ).
tff(func_def_89,type,
vtypeQM: vQMap > vATMap ).
tff(func_def_90,type,
vintersectATM: ( vATMap * vATMap ) > vATMap ).
tff(func_def_91,type,
venumLabel: vLabel > vLabel ).
tff(func_def_92,type,
vinitGID: vGID ).
tff(func_def_93,type,
vlt: ( vnat * vnat ) > vYN ).
tff(func_def_94,type,
vgt: ( vnat * vnat ) > vYN ).
tff(func_def_95,type,
vlookupAnsMap: ( vAnsMap * vQID ) > vOptAval ).
tff(func_def_96,type,
vreduceExp: ( vAnsMap * vExp ) > vOptExp ).
tff(func_def_97,type,
venumQID: vQID > vQID ).
tff(func_def_98,type,
vand: ( vYN * vYN ) > vYN ).
tff(func_def_99,type,
vappend: ( vATList * vATList ) > vATList ).
tff(func_def_100,type,
vgetQuestionQID: vOptQuestion > vQID ).
tff(func_def_101,type,
vgetMapConf: vOptMapConf > vMapConf ).
tff(func_def_102,type,
vgetQuestionLabel: vOptQuestion > vLabel ).
tff(func_def_103,type,
vgetAType: vOptAType > vAType ).
tff(func_def_104,type,
vgetQuestionAType: vOptQuestion > vAType ).
tff(func_def_105,type,
vgetQC: vOptQConf > vQConf ).
tff(func_def_106,type,
vgetExpValue: vExp > vAval ).
tff(func_def_107,type,
vgetAval: vOptAval > vAval ).
tff(func_def_108,type,
vgetExp: vOptExp > vExp ).
tff(func_def_109,type,
sK31: vQMap ).
tff(func_def_110,type,
sK32: vAType ).
tff(func_def_111,type,
sK33: vATMap ).
tff(func_def_112,type,
sK34: vATMap ).
tff(func_def_113,type,
sK35: vAnsMap ).
tff(func_def_114,type,
sK36: vQID ).
tff(func_def_115,type,
sK37: vExp ).
tff(func_def_116,type,
sK38: vExp > vExp ).
tff(func_def_117,type,
sK39: vExp > vAval ).
tff(func_def_118,type,
sK40: vExp > vAval ).
tff(func_def_119,type,
sK41: vQuestionnaire > vQuestionnaire ).
tff(func_def_120,type,
sK42: vOptExp > vExp ).
tff(func_def_121,type,
sK43: vQConf > vAnsMap ).
tff(func_def_122,type,
sK44: vQConf > vQMap ).
tff(func_def_123,type,
sK45: vQConf > vQuestionnaire ).
tff(func_def_124,type,
sK46: vMapConf > vATMap ).
tff(func_def_125,type,
sK47: vMapConf > vATMap ).
tff(func_def_126,type,
sK48: vEntry > vQID ).
tff(func_def_127,type,
sK49: vEntry > vLabel ).
tff(func_def_128,type,
sK50: vEntry > vAType ).
tff(func_def_129,type,
sK51: vEntry > vQID ).
tff(func_def_130,type,
sK52: vEntry > vAType ).
tff(func_def_131,type,
sK53: vEntry > vExp ).
tff(func_def_132,type,
sK54: vEntry > vQID ).
tff(func_def_133,type,
sK55: vEntry > vLabel ).
tff(func_def_134,type,
sK56: vEntry > vAType ).
tff(func_def_135,type,
sK57: vEntry > vQID ).
tff(func_def_136,type,
sK58: ( vAnsMap * vExp ) > vExp ).
tff(func_def_137,type,
sK59: vAnsMap > vQID ).
tff(func_def_138,type,
sK60: vAnsMap > vAval ).
tff(func_def_139,type,
sK61: vAnsMap > vAnsMap ).
tff(func_def_140,type,
sK62: vQMap > vQID ).
tff(func_def_141,type,
sK63: vQMap > vLabel ).
tff(func_def_142,type,
sK64: vQMap > vAType ).
tff(func_def_143,type,
sK65: vQMap > vQMap ).
tff(func_def_144,type,
sK66: vAval > vnat ).
tff(func_def_145,type,
sK67: vAval > vnat ).
tff(func_def_146,type,
sK68: vAval > vnat ).
tff(func_def_147,type,
sK69: vAval > vnat ).
tff(func_def_148,type,
sK70: vAval > vnat ).
tff(func_def_149,type,
sK71: vAval > vnat ).
tff(func_def_150,type,
sK72: vAval > vnat ).
tff(func_def_151,type,
sK73: vAval > vnat ).
tff(func_def_152,type,
sK74: vAval > vnat ).
tff(func_def_153,type,
sK75: vAval > vnat ).
tff(func_def_154,type,
sK76: vAval > vYN ).
tff(func_def_155,type,
sK77: vAval > vYN ).
tff(func_def_156,type,
sK78: vAval > vYN ).
tff(func_def_157,type,
sK79: vAval > vYN ).
tff(func_def_158,type,
sK80: vAval > vnat ).
tff(func_def_159,type,
sK81: vAval > vnat ).
tff(func_def_160,type,
sK82: vOptExp > vExp ).
tff(func_def_161,type,
sK83: vExp > vAval ).
tff(func_def_162,type,
sK84: vExp > vQID ).
tff(func_def_163,type,
sK85: vExp > vExp ).
tff(func_def_164,type,
sK86: vExp > vBinOpT ).
tff(func_def_165,type,
sK87: vExp > vExp ).
tff(func_def_166,type,
sK88: vExp > vUnOpT ).
tff(func_def_167,type,
sK89: vExp > vExp ).
tff(func_def_168,type,
sK90: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_169,type,
sK91: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_170,type,
sK92: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_171,type,
sK93: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_172,type,
sK94: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_173,type,
sK95: ( vQuestionnaire * ( vATMap * vATMap ) ) > vATMap ).
tff(func_def_174,type,
sK96: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_175,type,
sK97: ( vATMap * ( vQuestionnaire * vATMap ) ) > vATMap ).
tff(func_def_176,type,
sK98: vOptAType > vAType ).
tff(func_def_177,type,
sK99: ( vQID * vATMap ) > vAType ).
tff(func_def_178,type,
sK100: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_179,type,
sK101: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_180,type,
sK102: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_181,type,
sK103: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_182,type,
sK104: ( vQuestionnaire * vQuestionnaire ) > vQuestionnaire ).
tff(func_def_183,type,
sK105: vOptQConf > vQConf ).
tff(func_def_184,type,
sK106: ( vAnsMap * vQID ) > vQID ).
tff(func_def_185,type,
sK107: ( vAnsMap * vQID ) > vAval ).
tff(func_def_186,type,
sK108: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_187,type,
sK109: ( vAnsMap * vQID ) > vQID ).
tff(func_def_188,type,
sK110: ( vAnsMap * vQID ) > vQID ).
tff(func_def_189,type,
sK111: ( vAnsMap * vQID ) > vAval ).
tff(func_def_190,type,
sK112: ( vAnsMap * vQID ) > vAnsMap ).
tff(func_def_191,type,
sK113: ( vAnsMap * vQID ) > vQID ).
tff(func_def_192,type,
sK114: ( vAnsMap * vQID ) > vQID ).
tff(func_def_193,type,
sK115: vAnsMap > vQID ).
tff(func_def_194,type,
sK116: vAnsMap > vAval ).
tff(func_def_195,type,
sK117: vAnsMap > vAnsMap ).
tff(func_def_196,type,
sK118: ( vATMap * vQID ) > vQID ).
tff(func_def_197,type,
sK119: ( vATMap * vQID ) > vAType ).
tff(func_def_198,type,
sK120: ( vATMap * vQID ) > vATMap ).
tff(func_def_199,type,
sK121: ( vATMap * vQID ) > vQID ).
tff(func_def_200,type,
sK122: ( vATMap * vQID ) > vQID ).
tff(func_def_201,type,
sK123: ( vATMap * vQID ) > vAType ).
tff(func_def_202,type,
sK124: ( vATMap * vQID ) > vATMap ).
tff(func_def_203,type,
sK125: ( vATMap * vQID ) > vQID ).
tff(func_def_204,type,
sK126: ( vATMap * vQID ) > vQID ).
tff(func_def_205,type,
sK127: vATMap > vQID ).
tff(func_def_206,type,
sK128: vATMap > vAType ).
tff(func_def_207,type,
sK129: vATMap > vATMap ).
tff(func_def_208,type,
sK130: vAval > vYN ).
tff(func_def_209,type,
sK131: vAval > vnat ).
tff(func_def_210,type,
sK132: vAval > vstring ).
tff(func_def_211,type,
sK133: ( vQMap * vQID ) > vQMap ).
tff(func_def_212,type,
sK134: ( vQMap * vQID ) > vQID ).
tff(func_def_213,type,
sK135: ( vQMap * vQID ) > vAType ).
tff(func_def_214,type,
sK136: ( vQMap * vQID ) > vLabel ).
tff(func_def_215,type,
sK137: ( vQMap * vQID ) > vQID ).
tff(func_def_216,type,
sK138: ( vQMap * vQID ) > vQMap ).
tff(func_def_217,type,
sK139: ( vQMap * vQID ) > vQID ).
tff(func_def_218,type,
sK140: ( vQMap * vQID ) > vAType ).
tff(func_def_219,type,
sK141: ( vQMap * vQID ) > vLabel ).
tff(func_def_220,type,
sK142: ( vQMap * vQID ) > vQID ).
tff(func_def_221,type,
sK143: ( vQMap * vQID ) > vQID ).
tff(func_def_222,type,
sK144: vQMap > vQID ).
tff(func_def_223,type,
sK145: vQMap > vLabel ).
tff(func_def_224,type,
sK146: vQMap > vAType ).
tff(func_def_225,type,
sK147: vQMap > vQMap ).
tff(func_def_226,type,
sK148: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_227,type,
sK149: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_228,type,
sK150: ( vAType * ( vAType * vBinOpT ) ) > vBinOpT ).
tff(func_def_229,type,
sK151: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_230,type,
sK152: ( vAType * ( vAType * vBinOpT ) ) > vAType ).
tff(func_def_231,type,
sK153: vOptAType > vAType ).
tff(func_def_232,type,
sK154: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_233,type,
sK155: ( vQuestionnaire * ( vQuestionnaire * vExp ) ) > vQuestionnaire ).
tff(func_def_234,type,
sK156: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_235,type,
sK157: ( vQuestionnaire * ( vExp * vQuestionnaire ) ) > vQuestionnaire ).
tff(func_def_236,type,
sK158: vOptQConf > vQConf ).
tff(func_def_237,type,
sK159: vOptQuestion > vQID ).
tff(func_def_238,type,
sK160: vOptQuestion > vLabel ).
tff(func_def_239,type,
sK161: vOptQuestion > vAType ).
tff(func_def_240,type,
sK162: vOptAval > vAval ).
tff(func_def_241,type,
sK163: vOptAval > vAval ).
tff(func_def_242,type,
sK164: vAval > vYN ).
tff(func_def_243,type,
sK165: vAval > vnat ).
tff(func_def_244,type,
sK166: vAval > vstring ).
tff(func_def_245,type,
sK167: vOptQuestion > vQID ).
tff(func_def_246,type,
sK168: vOptQuestion > vLabel ).
tff(func_def_247,type,
sK169: vOptQuestion > vAType ).
tff(f56,axiom,
! [X0: vOptQConf] :
( ? [X1: vQConf] : ( X0 = vsomeQConf(X1) )
| ( X0 = vnoQConf ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-OptQConf') ).
tff(f58,axiom,
! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noQConf-someQConf') ).
tff(f132,axiom,
! [X0: vQConf] :
? [X1: vAnsMap,X2: vQMap,X3: vQuestionnaire] : ( X0 = vQC(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-QConf') ).
tff(f266,axiom,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ( visSomeExp(vreduceExp(X4,X2))
& ~ vexpIsValue(X4) )
=> ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-3') ).
tff(f362,conjecture,
! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3))
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& ~ vexpIsValue(X6)
& visSomeExp(vreduceExp(X6,X4)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-qsingle-value-expIsValue-False-isSomeExp-True') ).
tff(f363,negated_conjecture,
~ ! [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( ( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3))
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& ~ vexpIsValue(X6)
& visSomeExp(vreduceExp(X6,X4)) )
=> ? [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) = vsomeQConf(vQC(X7,X8,X9)) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
tff(f367,plain,
? [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3))
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& ~ vexpIsValue(X6)
& visSomeExp(vreduceExp(X6,X4))
& ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) != vsomeQConf(vQC(X7,X8,X9)) ) ),
inference(ennf_transformation,[],[f363]) ).
tff(f368,plain,
? [X0: vQMap,X1: vAType,X2: vATMap,X3: vATMap,X4: vAnsMap,X5: vQID,X6: vExp] :
( vptcheck(vMC(vtypeAM(X4),vtypeQM(X0)),vqsingle(vvalue(X5,X1,X6)),vMC(X2,X3))
& ~ visValue(vqsingle(vvalue(X5,X1,X6)))
& ~ vexpIsValue(X6)
& visSomeExp(vreduceExp(X6,X4))
& ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vreduce(vqsingle(vvalue(X5,X1,X6)),X4,X0) != vsomeQConf(vQC(X7,X8,X9)) ) ),
inference(flattening,[],[f367]) ).
tff(f477,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(ennf_transformation,[],[f266]) ).
tff(f478,plain,
! [X0: vQMap,X1: vAType,X2: vAnsMap,X3: vQID,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(flattening,[],[f477]) ).
tff(f531,plain,
( vptcheck(vMC(vtypeAM(sK35),vtypeQM(sK31)),vqsingle(vvalue(sK36,sK32,sK37)),vMC(sK33,sK34))
& ~ visValue(vqsingle(vvalue(sK36,sK32,sK37)))
& ~ vexpIsValue(sK37)
& visSomeExp(vreduceExp(sK37,sK35))
& ! [X7: vAnsMap,X8: vQMap,X9: vQuestionnaire] : ( vsomeQConf(vQC(X7,X8,X9)) != vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35,sK36,sK37]),skolemize(X0,sK31),skolemize(X1,sK32),skolemize(X2,sK33),skolemize(X3,sK34),skolemize(X4,sK35),skolemize(X5,sK36),skolemize(X6,sK37)],[f368]) ).
tff(f537,plain,
! [X0: vQConf] : ( vQC(sK43(X0),sK44(X0),sK45(X0)) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44,sK45]),skolemize(X1,sK43(X0)),skolemize(X2,sK44(X0)),skolemize(X3,sK45(X0))],[f132]) ).
tff(f578,plain,
! [X0: vOptQConf] :
( ( vsomeQConf(sK105(X0)) = X0 )
| ( X0 = vnoQConf ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(X1,sK105(X0))],[f56]) ).
tff(f636,plain,
~ vexpIsValue(sK37),
inference(cnf_transformation,[],[f531]) ).
tff(f637,plain,
visSomeExp(vreduceExp(sK37,sK35)),
inference(cnf_transformation,[],[f531]) ).
tff(f638,plain,
! [X8: vQMap,X9: vQuestionnaire,X7: vAnsMap] : ( vsomeQConf(vQC(X7,X8,X9)) != vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) ),
inference(cnf_transformation,[],[f531]) ).
tff(f663,plain,
! [X0: vQConf] : ( vQC(sK43(X0),sK44(X0),sK45(X0)) = X0 ),
inference(cnf_transformation,[],[f537]) ).
tff(f798,plain,
! [X0: vQConf] : ( vnoQConf != vsomeQConf(X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f799,plain,
! [X0: vOptQConf] :
( ( vsomeQConf(sK105(X0)) = X0 )
| ( vnoQConf = X0 ) ),
inference(cnf_transformation,[],[f578]) ).
tff(f1016,plain,
! [X2: vAnsMap,X3: vQID,X0: vQMap,X1: vAType,X4: vExp] :
( ~ visSomeExp(vreduceExp(X4,X2))
| vexpIsValue(X4)
| ( vreduce(vqsingle(vvalue(X3,X1,X4)),X2,X0) = vsomeQConf(vQC(X2,X0,vqsingle(vvalue(X3,X1,vgetExp(vreduceExp(X4,X2)))))) ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_49,negated_conjecture,
! [X0_vQuestionnaire: vQuestionnaire,X0_vAnsMap: vAnsMap,X0_vQMap: vQMap] : vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) != vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,X0_vQuestionnaire)),
inference(cnf_transformation,[],[f638]) ).
tcf(c_50,negated_conjecture,
visSomeExp(vreduceExp(sK37,sK35)),
inference(cnf_transformation,[],[f637]) ).
tcf(c_51,negated_conjecture,
~ vexpIsValue(sK37),
inference(cnf_transformation,[],[f636]) ).
tcf(c_78,plain,
! [X0_vQConf: vQConf] : vQC(sK43(X0_vQConf),sK44(X0_vQConf),sK45(X0_vQConf)) = X0_vQConf,
inference(cnf_transformation,[],[f663]) ).
tcf(c_212,plain,
! [X0_vQConf: vQConf] : vsomeQConf(X0_vQConf) != vnoQConf,
inference(cnf_transformation,[],[f798]) ).
tcf(c_213,plain,
! [X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( vsomeQConf(sK105(X0_vOptQConf)) = X0_vOptQConf ) ),
inference(cnf_transformation,[],[f799]) ).
tcf(c_430,plain,
! [X0_vAnsMap: vAnsMap,X0_vExp: vExp,X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(X0_vExp)
| ( vsomeQConf(vQC(X0_vAnsMap,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(X0_vExp,X0_vAnsMap)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,X0_vExp)),X0_vAnsMap,X0_vQMap) )
| ~ visSomeExp(vreduceExp(X0_vExp,X0_vAnsMap)) ),
inference(cnf_transformation,[],[f1016]) ).
tcf(c_45029,plain,
! [X0_vQConf: vQConf] : vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) != vsomeQConf(X0_vQConf),
inference(superposition,[status(thm)],[c_78,c_49]) ).
tcf(c_45065,plain,
! [X0_vOptQConf: vOptQConf] :
( ( X0_vOptQConf = vnoQConf )
| ( vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) != X0_vOptQConf ) ),
inference(superposition,[status(thm)],[c_213,c_45029]) ).
tcf(c_45073,plain,
vreduce(vqsingle(vvalue(sK36,sK32,sK37)),sK35,sK31) = vnoQConf,
inference(equality_resolution,[status(thm)],[c_45065]) ).
tcf(c_70168,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] :
( vexpIsValue(sK37)
| ( vsomeQConf(vQC(sK35,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(sK37,sK35)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,sK37)),sK35,X0_vQMap) ) ),
inference(superposition,[status(thm)],[c_50,c_430]) ).
tcf(c_70189,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : vsomeQConf(vQC(sK35,X0_vQMap,vqsingle(vvalue(X0_vQID,X0_vAType,vgetExp(vreduceExp(sK37,sK35)))))) = vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,sK37)),sK35,X0_vQMap),
inference(forward_subsumption_resolution,[status(thm)],[c_70168,c_51]) ).
tcf(c_70330,plain,
! [X0_vQMap: vQMap,X0_vQID: vQID,X0_vAType: vAType] : vreduce(vqsingle(vvalue(X0_vQID,X0_vAType,sK37)),sK35,X0_vQMap) != vnoQConf,
inference(superposition,[status(thm)],[c_70189,c_212]) ).
tcf(c_70348,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_45073,c_70330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM269_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 08:03:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/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...
% 10.92/2.72 % SZS status Started for theBenchmark.p
% 10.92/2.72 % SZS status Theorem for theBenchmark.p
% 10.92/2.72
% 10.92/2.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.92/2.72
% 10.92/2.72 % ------ iProver source info
% 10.92/2.72
% 10.92/2.72 % git: date: 2026-07-19 20:42:38 +0200
% 10.92/2.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.92/2.72 % git: non_committed_changes: false
% 10.92/2.72
% 10.92/2.72 % ------ Parsing...
% 10.92/2.72 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 10.92/2.72 %
% 10.92/2.72
% 10.92/2.72 % ------ Preprocessing... sup_sim: 2 pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 2 pe_s pe_e sup_sim: 0 pe_s pe_e %
% 10.92/2.72
% 10.92/2.72 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 10.92/2.72 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
% 10.92/2.72 %
% 10.92/2.72
% 10.92/2.72 % ------ Preprocessing...
% 10.92/2.72 % ------ Proving...
% 10.92/2.72 % ------ Problem Properties
% 10.92/2.72
% 10.92/2.72 %
% 10.92/2.72 % clauses 395
% 10.92/2.72 % conjectures 4
% 10.92/2.72 % EPR 95
% 10.92/2.72 % Horn 314
% 10.92/2.72 % unary 121
% 10.92/2.72 % binary 205
% 10.92/2.72 % lits 816
% 10.92/2.72 % lits eq 525
% 10.92/2.72 % fd_pure 3
% 10.92/2.72 % fd_pseudo 0
% 10.92/2.72 % fd_cond 58
% 10.92/2.72 % fd_pseudo_cond 68
% 10.92/2.72 % AC symbols 0
% 10.92/2.72
% 10.92/2.72 % ------ Schedule dynamic 5 is on
% 10.92/2.72
% 10.92/2.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.92/2.72
% 10.92/2.72
% 10.92/2.72 % ------
% 10.92/2.72 % Current options:
% 10.92/2.72 % ------
% 10.92/2.72
% 10.92/2.72
% 10.92/2.72 %
% 10.92/2.72
% 10.92/2.72 % ------ Proving...
% 10.92/2.72 %
% 10.92/2.72
% 10.92/2.72 % SZS status Theorem for theBenchmark.p
% 10.92/2.72
% 10.92/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.92/2.72
% 10.92/2.72
%------------------------------------------------------------------------------