%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM223_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Tue Sep 29 09:39:49 AM UTC 2026
% Result : Theorem 50.07s 7.78s
% Output : Refutation 50.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 112 ( 36 unt; 0 typ; 9 def)
% Number of atoms : 240 ( 65 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 218 ( 90 ~; 92 |; 22 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 6 prp; 0-5 aty)
% Number of functors : 120 ( 120 usr; 14 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 75 !; 6 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
vTerm: $tType ).
tff(type_def_6,type,
vOptTerm: $tType ).
tff(type_def_7,type,
vTy: $tType ).
tff(func_def_0,type,
vNat: vTy ).
tff(func_def_1,type,
vSucc: vTerm > vTerm ).
tff(func_def_2,type,
vPred: vTerm > vTerm ).
tff(func_def_3,type,
vsomeTerm: vTerm > vOptTerm ).
tff(func_def_4,type,
vZero: vTerm ).
tff(func_def_5,type,
vIszero: vTerm > vTerm ).
tff(func_def_6,type,
vTrue: vTerm ).
tff(func_def_7,type,
vFalse: vTerm ).
tff(func_def_8,type,
vnoTerm: vOptTerm ).
tff(func_def_9,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_10,type,
vt2: vTerm ).
tff(func_def_11,type,
vB: vTy ).
tff(func_def_12,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_13,type,
vt1: vTerm ).
tff(func_def_14,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_15,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_16,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_17,type,
sK0: vTerm > vTerm ).
tff(func_def_18,type,
sK1: vTerm > vTerm ).
tff(func_def_19,type,
sK2: vTerm > vTerm ).
tff(func_def_20,type,
sK3: vTerm > vTerm ).
tff(func_def_21,type,
sK4: vTerm > vTerm ).
tff(func_def_22,type,
sK5: vTerm > vTerm ).
tff(func_def_23,type,
sK6: vTerm > vTerm ).
tff(func_def_24,type,
sK7: vTerm > vTerm ).
tff(func_def_25,type,
sK8: vOptTerm > vTerm ).
tff(func_def_26,type,
sK9: vTerm > vTerm ).
tff(func_def_27,type,
sK10: vTerm > vTerm ).
tff(func_def_28,type,
sK11: vTerm > vTerm ).
tff(func_def_29,type,
sK12: vTerm > vTerm ).
tff(func_def_30,type,
sK13: vTerm > vTerm ).
tff(func_def_31,type,
sK14: vTerm > vTerm ).
tff(func_def_32,type,
sK15: vOptTerm > vTerm ).
tff(func_def_33,type,
sK16: vTerm > vTerm ).
tff(func_def_34,type,
sK17: ( vTerm * vTerm ) > vTerm ).
tff(func_def_35,type,
sK18: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK19: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK20: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK21: ( vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK23: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK24: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK25: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK26: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK27: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK28: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK29: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK30: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_47,type,
sK31: vTerm > vTerm ).
tff(func_def_48,type,
sK32: vTerm > vTerm ).
tff(func_def_49,type,
sK33: vTerm > vTerm ).
tff(func_def_50,type,
sK34: vTerm > vTerm ).
tff(func_def_51,type,
sK35: vTerm > vTerm ).
tff(func_def_52,type,
sK36: vTerm > vTerm ).
tff(func_def_53,type,
sK37: vTerm > vTerm ).
tff(func_def_54,type,
sK38: vTerm > vTerm ).
tff(func_def_55,type,
sK39: vTerm > vTerm ).
tff(func_def_56,type,
sK40: vTerm > vTerm ).
tff(func_def_57,type,
sK41: vTerm > vTerm ).
tff(func_def_58,type,
sK42: vTerm > vTerm ).
tff(func_def_59,type,
sK43: vTerm > vTerm ).
tff(func_def_60,type,
sK44: vTerm > vTerm ).
tff(func_def_61,type,
sK45: vTerm > vTerm ).
tff(func_def_62,type,
sK46: vTerm > vTerm ).
tff(func_def_63,type,
sK47: vTerm > vTerm ).
tff(func_def_64,type,
sK48: vTerm > vTerm ).
tff(func_def_65,type,
sK49: vTerm > vTerm ).
tff(func_def_66,type,
sK50: vTerm > vTerm ).
tff(func_def_67,type,
sK51: vTerm > vTerm ).
tff(func_def_68,type,
sK52: vTerm > vOptTerm ).
tff(func_def_69,type,
sK53: vTerm > vTerm ).
tff(func_def_70,type,
sK54: vTerm > vTerm ).
tff(func_def_71,type,
sK55: vTerm > vOptTerm ).
tff(func_def_72,type,
sK56: vTerm > vTerm ).
tff(func_def_73,type,
sK57: vTerm > vTerm ).
tff(func_def_74,type,
sK58: vTerm > vOptTerm ).
tff(func_def_75,type,
sK59: vTerm > vTerm ).
tff(func_def_76,type,
sK60: vTerm > vTerm ).
tff(func_def_77,type,
sK61: vTerm > vOptTerm ).
tff(func_def_78,type,
sK62: vTerm > vTerm ).
tff(func_def_79,type,
sK63: vTerm > vTerm ).
tff(func_def_80,type,
sK64: vTerm > vTerm ).
tff(func_def_81,type,
sK65: vTerm > vOptTerm ).
tff(func_def_82,type,
sK66: vTerm > vTerm ).
tff(func_def_83,type,
sK67: vTerm > vOptTerm ).
tff(func_def_84,type,
sK68: vTerm > vTerm ).
tff(func_def_85,type,
sK69: vTerm > vOptTerm ).
tff(func_def_86,type,
sK70: vTerm > vTerm ).
tff(func_def_87,type,
sK71: vTerm > vOptTerm ).
tff(func_def_88,type,
sK72: vTerm > vTerm ).
tff(func_def_89,type,
sK73: vTerm > vTerm ).
tff(func_def_90,type,
sK74: vTerm > vOptTerm ).
tff(func_def_91,type,
sK75: vTerm > vTerm ).
tff(func_def_92,type,
sK76: vTerm > vOptTerm ).
tff(func_def_93,type,
sK77: vTerm > vTerm ).
tff(func_def_94,type,
sK78: vTerm > vOptTerm ).
tff(func_def_95,type,
sK79: vTerm > vTerm ).
tff(func_def_96,type,
sK80: vTerm > vOptTerm ).
tff(func_def_97,type,
sK81: vTerm > vTerm ).
tff(func_def_98,type,
sK82: vTerm > vTerm ).
tff(func_def_99,type,
sK83: vTerm > vOptTerm ).
tff(func_def_100,type,
sK84: vTerm > vTerm ).
tff(func_def_101,type,
sK85: vTerm > vOptTerm ).
tff(func_def_102,type,
sK86: vTerm > vTerm ).
tff(func_def_103,type,
sK87: vTerm > vTerm ).
tff(func_def_104,type,
sK88: vTerm > vTerm ).
tff(func_def_105,type,
sK89: vTerm > vOptTerm ).
tff(func_def_106,type,
sK90: vTerm > vTerm ).
tff(func_def_107,type,
sK91: vTerm > vTerm ).
tff(func_def_108,type,
sK92: vTerm > vTerm ).
tff(func_def_109,type,
sK93: vTerm > vOptTerm ).
tff(func_def_110,type,
sK94: vTerm > vTerm ).
tff(func_def_111,type,
sK95: vTerm > vTerm ).
tff(func_def_112,type,
sK96: vTerm > vTerm ).
tff(func_def_113,type,
sK97: vTerm > vTerm ).
tff(func_def_114,type,
sK119: vTy ).
tff(func_def_115,type,
sK120: vTerm ).
tff(func_def_116,type,
sF121: vOptTerm ).
tff(func_def_117,type,
sF122: vTerm ).
tff(func_def_118,type,
sF123: vOptTerm ).
tff(func_def_119,type,
sF124: vOptTerm ).
tff(pred_def_1,type,
visValue: vTerm > $o ).
tff(pred_def_2,type,
visNV: vTerm > $o ).
tff(pred_def_3,type,
visSomeTerm: vOptTerm > $o ).
tff(pred_def_4,type,
vptchecksimple: ( vTerm * vTy ) > $o ).
tff(pred_def_5,type,
sP22: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_6,type,
sP98: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_7,type,
sP99: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_8,type,
sP100: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_9,type,
sP101: ( vOptTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_10,type,
sP102: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_11,type,
sP103: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_12,type,
sP104: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_13,type,
sP105: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_14,type,
sP106: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_15,type,
sP107: ( vTerm * vTerm ) > $o ).
tff(pred_def_16,type,
sP108: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_17,type,
sP109: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_18,type,
sP110: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_19,type,
sP111: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_20,type,
sP112: ( vTerm * vTerm ) > $o ).
tff(pred_def_21,type,
sP113: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_22,type,
sP114: ( vOptTerm * vTerm * vTerm ) > $o ).
tff(pred_def_23,type,
sP115: ( vOptTerm * vTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_24,type,
sP116: ( vOptTerm * vTerm * vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_25,type,
sP117: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_26,type,
sP118: ( vTerm * vTerm * vTerm ) > $o ).
tff(f38,axiom,
! [X0: vTy] :
( ( X0 = vB )
| ( X0 = vNat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Ty') ).
tff(f39,axiom,
vB != vNat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-B-Nat') ).
tff(f40,axiom,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getTerm-0') ).
tff(f53,axiom,
! [X0: vOptTerm] :
( visSomeTerm(X0)
=> ? [X1: vTerm] : ( X0 = vsomeTerm(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTerm-true-INV') ).
tff(f78,axiom,
! [X0: vTerm,X1: vTerm] :
( ( visNV(X0)
& ~ visNV(X1)
& visSomeTerm(vreduce(X1)) )
=> ( vreduce(vPlus(X0,X1)) = vsomeTerm(vPlus(X0,vgetTerm(vreduce(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-19') ).
tff(f101,axiom,
! [X0: vTerm,X1: vTerm] :
( ( vptchecksimple(X0,vNat)
& vptchecksimple(X1,vNat) )
=> vptchecksimple(vPlus(X0,X1),vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TPlus') ).
tff(f102,axiom,
! [X0: vTerm,X1: vTerm,X2: vTy] :
( vptchecksimple(vPlus(X0,X1),X2)
=> ( X2 = vNat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TPlus_inv0') ).
tff(f104,axiom,
! [X0: vTerm,X1: vTerm] :
( vptchecksimple(vPlus(X0,X1),vNat)
=> vptchecksimple(X1,vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TPlus_inv2') ).
tff(f106,axiom,
! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vt2,X0)
& ( vreduce(vt2) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Plus-IH1') ).
tff(f107,axiom,
! [X0: vTerm] :
( visNV(X0)
=> vptchecksimple(X0,vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isNVisNat) ).
tff(f108,conjecture,
! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt2))
& ~ visNV(vt2)
& visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Plus-isNV-True-isNV-False-isSomeTerm-True') ).
tff(f109,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt2))
& ~ visNV(vt2)
& visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f108]) ).
tff(f129,plain,
! [X0: vOptTerm] :
( ? [X1: vTerm] : ( X0 = vsomeTerm(X1) )
| ~ visSomeTerm(X0) ),
inference(ennf_transformation,[],[f53]) ).
tff(f159,plain,
! [X0: vTerm,X1: vTerm] :
( ( vreduce(vPlus(X0,X1)) = vsomeTerm(vPlus(X0,vgetTerm(vreduce(X1)))) )
| ~ visNV(X0)
| visNV(X1)
| ~ visSomeTerm(vreduce(X1)) ),
inference(ennf_transformation,[],[f78]) ).
tff(f160,plain,
! [X0: vTerm,X1: vTerm] :
( ( vreduce(vPlus(X0,X1)) = vsomeTerm(vPlus(X0,vgetTerm(vreduce(X1)))) )
| ~ visNV(X0)
| visNV(X1)
| ~ visSomeTerm(vreduce(X1)) ),
inference(flattening,[],[f159]) ).
tff(f184,plain,
! [X0: vTerm,X1: vTerm] :
( vptchecksimple(vPlus(X0,X1),vNat)
| ~ vptchecksimple(X0,vNat)
| ~ vptchecksimple(X1,vNat) ),
inference(ennf_transformation,[],[f101]) ).
tff(f185,plain,
! [X0: vTerm,X1: vTerm] :
( vptchecksimple(vPlus(X0,X1),vNat)
| ~ vptchecksimple(X0,vNat)
| ~ vptchecksimple(X1,vNat) ),
inference(flattening,[],[f184]) ).
tff(f186,plain,
! [X0: vTerm,X1: vTerm,X2: vTy] :
( ( X2 = vNat )
| ~ vptchecksimple(vPlus(X0,X1),X2) ),
inference(ennf_transformation,[],[f102]) ).
tff(f188,plain,
! [X0: vTerm,X1: vTerm] :
( vptchecksimple(X1,vNat)
| ~ vptchecksimple(vPlus(X0,X1),vNat) ),
inference(ennf_transformation,[],[f104]) ).
tff(f191,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt2,X0)
| ( vsomeTerm(X1) != vreduce(vt2) ) ),
inference(ennf_transformation,[],[f106]) ).
tff(f192,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt2,X0)
| ( vsomeTerm(X1) != vreduce(vt2) ) ),
inference(flattening,[],[f191]) ).
tff(f193,plain,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
| ~ visNV(X0) ),
inference(ennf_transformation,[],[f107]) ).
tff(f194,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt2))
& ~ visNV(vt2)
& visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
tff(f195,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt2))
& ~ visNV(vt2)
& visNV(vt1)
& vptchecksimple(vPlus(vt1,vt2),X0)
& ( vreduce(vPlus(vt1,vt2)) = vsomeTerm(X1) ) ),
inference(flattening,[],[f194]) ).
tff(f236,plain,
! [X0: vTy] :
( ( vB = X0 )
| ( vNat = X0 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f237,plain,
vB != vNat,
inference(cnf_transformation,[],[f39]) ).
tff(f238,plain,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
inference(cnf_transformation,[],[f40]) ).
tff(f265,plain,
! [X0: vOptTerm] :
( ( vsomeTerm(sK15(X0)) = X0 )
| ~ visSomeTerm(X0) ),
inference(cnf_transformation,[],[f129]) ).
tff(f323,plain,
! [X0: vTerm,X1: vTerm] :
( ( vreduce(vPlus(X0,X1)) = vsomeTerm(vPlus(X0,vgetTerm(vreduce(X1)))) )
| visNV(X1)
| ~ visNV(X0)
| ~ visSomeTerm(vreduce(X1)) ),
inference(cnf_transformation,[],[f160]) ).
tff(f497,plain,
! [X0: vTerm,X1: vTerm] :
( vptchecksimple(vPlus(X0,X1),vNat)
| ~ vptchecksimple(X0,vNat)
| ~ vptchecksimple(X1,vNat) ),
inference(cnf_transformation,[],[f185]) ).
tff(f498,plain,
! [X2: vTy,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(vPlus(X0,X1),X2)
| ( vNat = X2 ) ),
inference(cnf_transformation,[],[f186]) ).
tff(f500,plain,
! [X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(vPlus(X0,X1),vNat)
| vptchecksimple(X1,vNat) ),
inference(cnf_transformation,[],[f188]) ).
tff(f502,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt2) )
| ~ vptchecksimple(vt2,X0)
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f192]) ).
tff(f503,plain,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
| ~ visNV(X0) ),
inference(cnf_transformation,[],[f193]) ).
tff(f504,plain,
vreduce(vPlus(vt1,vt2)) = vsomeTerm(sK120),
inference(cnf_transformation,[],[f195]) ).
tff(f505,plain,
vptchecksimple(vPlus(vt1,vt2),sK119),
inference(cnf_transformation,[],[f195]) ).
tff(f506,plain,
visNV(vt1),
inference(cnf_transformation,[],[f195]) ).
tff(f507,plain,
~ visNV(vt2),
inference(cnf_transformation,[],[f195]) ).
tff(f508,plain,
visSomeTerm(vreduce(vt2)),
inference(cnf_transformation,[],[f195]) ).
tff(f509,plain,
~ vptchecksimple(sK120,sK119),
inference(cnf_transformation,[],[f195]) ).
tff(f530,definition,
sF121 = vreduce(vt2),
introduced(definition,[new_symbols(definition,[sF121])],[function_definition]) ).
tff(f531,plain,
vreduce(vt2) = sF121,
inference(reorient_equations,[],[f530]) ).
tff(f532,plain,
visSomeTerm(sF121),
inference(definition_folding,[],[f508,f531]) ).
tff(f533,definition,
sF122 = vPlus(vt1,vt2),
introduced(definition,[new_symbols(definition,[sF122])],[function_definition]) ).
tff(f534,plain,
vPlus(vt1,vt2) = sF122,
inference(reorient_equations,[],[f533]) ).
tff(f535,plain,
vptchecksimple(sF122,sK119),
inference(definition_folding,[],[f505,f534]) ).
tff(f536,definition,
sF123 = vreduce(sF122),
introduced(definition,[new_symbols(definition,[sF123])],[function_definition]) ).
tff(f537,plain,
vreduce(sF122) = sF123,
inference(reorient_equations,[],[f536]) ).
tff(f538,definition,
sF124 = vsomeTerm(sK120),
introduced(definition,[new_symbols(definition,[sF124])],[function_definition]) ).
tff(f539,plain,
vsomeTerm(sK120) = sF124,
inference(reorient_equations,[],[f538]) ).
tff(f540,plain,
sF123 = sF124,
inference(definition_folding,[],[f504,f539,f537,f534]) ).
tff(f545,plain,
vsomeTerm(sK120) = sF123,
inference(forward_demodulation,[],[f539,f540]) ).
tff(f583,plain,
! [X0: vTerm] :
( ( vreduce(vPlus(X0,vt2)) = vsomeTerm(vPlus(X0,vgetTerm(sF121))) )
| visNV(vt2)
| ~ visNV(X0)
| ~ visSomeTerm(sF121) ),
inference(superposition,[],[f323,f531]) ).
tff(f592,plain,
! [X0: vTerm] :
( ( vreduce(vPlus(X0,vt2)) = vsomeTerm(vPlus(X0,vgetTerm(sF121))) )
| ~ visNV(X0)
| ~ visSomeTerm(sF121) ),
inference(forward_subsumption_resolution,[],[f583,f507]) ).
tff(f595,plain,
! [X0: vTerm] :
( ( vreduce(vPlus(X0,vt2)) = vsomeTerm(vPlus(X0,vgetTerm(sF121))) )
| ~ visNV(X0) ),
inference(forward_subsumption_resolution,[],[f592,f532]) ).
tff(f676,plain,
sK120 = vgetTerm(sF123),
inference(superposition,[],[f238,f545]) ).
tff(f678,plain,
! [X0: vTerm] :
( ( vPlus(X0,vgetTerm(sF121)) = vgetTerm(vreduce(vPlus(X0,vt2))) )
| ~ visNV(X0) ),
inference(superposition,[],[f238,f595]) ).
tff(f681,plain,
( ( vgetTerm(vreduce(sF122)) = vPlus(vt1,vgetTerm(sF121)) )
| ~ visNV(vt1) ),
inference(superposition,[],[f678,f534]) ).
tff(f690,plain,
vgetTerm(vreduce(sF122)) = vPlus(vt1,vgetTerm(sF121)),
inference(forward_subsumption_resolution,[],[f681,f506]) ).
tff(f692,plain,
vgetTerm(sF123) = vPlus(vt1,vgetTerm(sF121)),
inference(forward_demodulation,[],[f690,f537]) ).
tff(f693,plain,
sK120 = vPlus(vt1,vgetTerm(sF121)),
inference(forward_demodulation,[],[f692,f676]) ).
tff(f714,plain,
! [X0: vOptTerm] :
( ( sK15(X0) = vgetTerm(X0) )
| ~ visSomeTerm(X0) ),
inference(superposition,[],[f238,f265]) ).
tff(f721,plain,
( vptchecksimple(sK120,vNat)
| ~ vptchecksimple(vt1,vNat)
| ~ vptchecksimple(vgetTerm(sF121),vNat) ),
inference(superposition,[],[f497,f693]) ).
tff(f1086,plain,
! [X0: vTy,X1: vTy] :
( ( vNat = X1 )
| ( X0 = X1 )
| ( vNat = X0 ) ),
inference(superposition,[],[f236,f236]) ).
tff(f1104,definition,
( spl125_11
<=> vptchecksimple(vgetTerm(sF121),vNat) ),
introduced(definition,[new_symbols(definition,[spl125_11])],[avatar_definition]) ).
tff(f1105,plain,
( ~ vptchecksimple(vgetTerm(sF121),vNat)
| spl125_11 ),
inference(avatar_component_clause,[],[f1104]) ).
tff(f1107,definition,
( spl125_12
<=> vptchecksimple(vt1,vNat) ),
introduced(definition,[new_symbols(definition,[spl125_12])],[avatar_definition]) ).
tff(f1108,plain,
( ~ vptchecksimple(vt1,vNat)
| spl125_12 ),
inference(avatar_component_clause,[],[f1107]) ).
tff(f1121,plain,
! [X0: vTy] :
( ~ vptchecksimple(sK120,vNat)
| ( sK119 = X0 )
| ( vNat = X0 ) ),
inference(superposition,[],[f509,f1086]) ).
tff(f1122,plain,
! [X0: vTy] :
( vptchecksimple(sF122,vNat)
| ( sK119 = X0 )
| ( vNat = X0 ) ),
inference(superposition,[],[f535,f1086]) ).
tff(f1156,plain,
( ~ visNV(vt1)
| spl125_12 ),
inference(resolution,[],[f1108,f503]) ).
tff(f1159,plain,
( $false
| spl125_12 ),
inference(forward_subsumption_resolution,[],[f1156,f506]) ).
tff(f1160,plain,
spl125_12,
inference(avatar_contradiction_clause,[],[f1159]) ).
tff(f1169,definition,
( spl125_15
<=> ! [X0: vTy] :
( ( sK119 = X0 )
| ( vNat = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl125_15])],[avatar_definition]) ).
tff(f1170,plain,
( ! [X0: vTy] :
( ( sK119 = X0 )
| ( vNat = X0 ) )
| ~ spl125_15 ),
inference(avatar_component_clause,[],[f1169]) ).
tff(f1172,definition,
( spl125_16
<=> vptchecksimple(sK120,vNat) ),
introduced(definition,[new_symbols(definition,[spl125_16])],[avatar_definition]) ).
tff(f1173,plain,
( ~ vptchecksimple(sK120,vNat)
| spl125_16 ),
inference(avatar_component_clause,[],[f1172]) ).
tff(f1174,plain,
( spl125_15
| ~ spl125_16 ),
inference(avatar_split_clause,[],[f1121,f1172,f1169]) ).
tff(f1175,plain,
( ~ vptchecksimple(vt1,vNat)
| ~ vptchecksimple(vgetTerm(sF121),vNat)
| spl125_16 ),
inference(backward_subsumption_resolution,[],[f721,f1173]) ).
tff(f1178,plain,
( ~ spl125_11
| ~ spl125_12
| spl125_16 ),
inference(avatar_split_clause,[],[f1175,f1172,f1107,f1104]) ).
tff(f1186,definition,
( spl125_17
<=> vptchecksimple(sF122,vNat) ),
introduced(definition,[new_symbols(definition,[spl125_17])],[avatar_definition]) ).
tff(f1187,plain,
( vptchecksimple(sF122,vNat)
| ~ spl125_17 ),
inference(avatar_component_clause,[],[f1186]) ).
tff(f1188,plain,
( spl125_15
| spl125_17 ),
inference(avatar_split_clause,[],[f1122,f1186,f1169]) ).
tff(f1193,plain,
( ! [X0: vTy] :
( vptchecksimple(sF122,X0)
| ( vNat = X0 ) )
| ~ spl125_15 ),
inference(superposition,[],[f535,f1170]) ).
tff(f1477,plain,
! [X0: vTy] :
( ~ vptchecksimple(sF122,X0)
| ( vNat = X0 ) ),
inference(superposition,[],[f498,f534]) ).
tff(f1483,plain,
( ! [X0: vTy] : ( vNat = X0 )
| ~ spl125_15 ),
inference(forward_subsumption_resolution,[],[f1477,f1193]) ).
tff(f1485,plain,
( $false
| ~ spl125_15 ),
inference(backward_subsumption_resolution,[],[f237,f1483]) ).
tff(f1486,plain,
~ spl125_15,
inference(avatar_contradiction_clause,[],[f1485]) ).
tff(f2561,plain,
! [X0: vOptTerm] :
( ( vsomeTerm(vgetTerm(X0)) = X0 )
| ~ visSomeTerm(X0)
| ~ visSomeTerm(X0) ),
inference(superposition,[],[f265,f714]) ).
tff(f2562,plain,
! [X0: vOptTerm] :
( ( vsomeTerm(vgetTerm(X0)) = X0 )
| ~ visSomeTerm(X0) ),
inference(duplicate_literal_removal,[],[f2561]) ).
tff(f2922,plain,
! [X0: vOptTerm,X1: vTy] :
( ( vreduce(vt2) != X0 )
| ~ vptchecksimple(vt2,X1)
| vptchecksimple(vgetTerm(X0),X1)
| ~ visSomeTerm(X0) ),
inference(superposition,[],[f502,f2562]) ).
tff(f2925,plain,
! [X0: vOptTerm,X1: vTy] :
( ( sF121 != X0 )
| ~ vptchecksimple(vt2,X1)
| vptchecksimple(vgetTerm(X0),X1)
| ~ visSomeTerm(X0) ),
inference(forward_demodulation,[],[f2922,f531]) ).
tff(f2926,plain,
! [X0: vTy] :
( ~ vptchecksimple(vt2,X0)
| vptchecksimple(vgetTerm(sF121),X0)
| ~ visSomeTerm(sF121) ),
inference(equality_resolution,[],[f2925]) ).
tff(f2927,plain,
! [X0: vTy] :
( vptchecksimple(vgetTerm(sF121),X0)
| ~ vptchecksimple(vt2,X0) ),
inference(forward_subsumption_resolution,[],[f2926,f532]) ).
tff(f2928,plain,
( ~ vptchecksimple(vt2,vNat)
| spl125_11 ),
inference(resolution,[],[f2927,f1105]) ).
tff(f29836,plain,
( ~ vptchecksimple(sF122,vNat)
| vptchecksimple(vt2,vNat) ),
inference(superposition,[],[f500,f534]) ).
tff(f29851,plain,
( vptchecksimple(vt2,vNat)
| ~ spl125_17 ),
inference(forward_subsumption_resolution,[],[f29836,f1187]) ).
tff(f29853,plain,
( $false
| spl125_11
| ~ spl125_17 ),
inference(forward_subsumption_resolution,[],[f29851,f2928]) ).
tff(f29854,plain,
( spl125_11
| ~ spl125_17 ),
inference(avatar_contradiction_clause,[],[f29853]) ).
cnf(s527,plain,
spl125_12,
inference(sat_conversion,[],[f1160]) ).
cnf(s535,plain,
( spl125_15
| ~ spl125_16 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s539,plain,
( ~ spl125_11
| ~ spl125_12
| spl125_16 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s545,plain,
( spl125_15
| spl125_17 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s677,plain,
~ spl125_15,
inference(sat_conversion,[],[f1486]) ).
cnf(s9555,plain,
( spl125_11
| ~ spl125_17 ),
inference(sat_conversion,[],[f29854]) ).
cnf(s9569,plain,
spl125_17,
inference(rat,[],[s545,s677]) ).
cnf(s9570,plain,
spl125_11,
inference(rat,[],[s9555,s9569]) ).
cnf(s9571,plain,
( ~ spl125_12
| spl125_16 ),
inference(rat,[],[s539,s9570]) ).
cnf(s9572,plain,
~ spl125_16,
inference(rat,[],[s535,s677]) ).
cnf(s9573,plain,
~ spl125_12,
inference(rat,[],[s9571,s9572]) ).
cnf(s9574,plain,
$false,
inference(rat,[],[s527,s9573]) ).
tff(f29855,plain,
$false,
inference(avatar_sat_refutation,[],[s9574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM223_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:02:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.70/2.86 % (2703027)Detected formulas, will run a generic FOF schedule.
% 14.70/2.86 % (2703102)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2609056548:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.70/2.86 % (2703105)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2568135954:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.70/2.86 % (2703101)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2739255223:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.70/2.86 % (2703104)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2400134303:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.70/2.86 % (2703099)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1642057019:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.70/2.86 % (2703106)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1908577604:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.70/2.86 % (2703104)Refutation not found, incomplete strategy
% 14.70/2.86 % (2703104)------------------------------
% 14.70/2.86 % (2703104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/2.86 % (2703104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.86 % (2703104)CaDiCaL version: 2.1.3
% 14.70/2.86 % (2703104)Termination reason: Refutation not found, incomplete strategy
% 14.70/2.86 % (2703104)Time elapsed: 0.003 s
% 14.70/2.86 % (2703104)Peak memory usage: 88 MB
% 14.70/2.86 % (2703104)Instructions burned: 2 (million)
% 14.70/2.86 % (2703105)Refutation not found, incomplete strategy
% 14.70/2.86 % (2703105)------------------------------
% 14.70/2.86 % (2703105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/2.86 % (2703105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.86 % (2703105)CaDiCaL version: 2.1.3
% 14.70/2.86 % (2703105)Termination reason: Refutation not found, incomplete strategy
% 14.70/2.86 % (2703105)Time elapsed: 0.012 s
% 14.70/2.86 % (2703105)Peak memory usage: 88 MB
% 14.70/2.86 % (2703105)Instructions burned: 17 (million)
% 14.70/2.86 % (2703108)dis-21_1_sil=8000:lcm=predicate:random_seed=3607395998:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.70/2.86 % (2703106)Instruction limit reached!
% 14.70/2.86 % (2703106)------------------------------
% 14.70/2.86 % (2703106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/2.86 % (2703106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.86 % (2703106)CaDiCaL version: 2.1.3
% 14.70/2.86 % (2703106)Termination reason: Instruction limit
% 14.70/2.86 % (2703106)Termination phase: Saturation
% 14.70/2.86 % (2703106)Time elapsed: 0.088 s
% 14.70/2.86 % (2703106)Peak memory usage: 90 MB
% 14.70/2.86 % (2703106)Instructions burned: 139 (million)
% 14.70/2.86 % (2703108)Instruction limit reached!
% 14.70/2.86 % (2703108)------------------------------
% 14.70/2.86 % (2703108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/2.86 % (2703108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.86 % (2703108)CaDiCaL version: 2.1.3
% 14.70/2.86 % (2703108)Termination reason: Instruction limit
% 14.70/2.86 % (2703108)Termination phase: Saturation
% 14.70/2.86 % (2703108)Time elapsed: 0.073 s
% 14.70/2.86 % (2703108)Peak memory usage: 90 MB
% 14.70/2.86 % (2703108)Instructions burned: 129 (million)
% 14.70/2.86 % (2703105)------------------------------
% 14.70/2.86 % (2703105)------------------------------
% 14.70/2.86 % (2703168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=631450958:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.70/2.86 % (2703167)lrs+10_1_sil=8000:sp=occurrence:random_seed=177653150:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.70/2.86 % (2703168)Instruction limit reached!
% 14.70/2.86 % (2703168)------------------------------
% 14.70/2.86 % (2703168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/2.86 % (2703168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/2.86 % (2703168)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703168)Termination reason: Instruction limit
% 21.90/3.83 % (2703168)Termination phase: Saturation
% 21.90/3.83 % (2703168)Time elapsed: 0.077 s
% 21.90/3.83 % (2703168)Peak memory usage: 89 MB
% 21.90/3.83 % (2703168)Instructions burned: 157 (million)
% 21.90/3.83 % (2703104)------------------------------
% 21.90/3.83 % (2703104)------------------------------
% 21.90/3.83 % (2703180)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2133679463:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 21.90/3.83 % (2703167)Instruction limit reached!
% 21.90/3.83 % (2703167)------------------------------
% 21.90/3.83 % (2703167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/3.83 % (2703167)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703167)Termination reason: Instruction limit
% 21.90/3.83 % (2703167)Termination phase: Saturation
% 21.90/3.83 % (2703167)Time elapsed: 0.151 s
% 21.90/3.83 % (2703167)Peak memory usage: 90 MB
% 21.90/3.83 % (2703167)Instructions burned: 285 (million)
% 21.90/3.83 % (2703181)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3893824598:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 21.90/3.83 % (2703182)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4290105407:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.90/3.83 % (2703184)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2458390039:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.90/3.83 % (2703180)Instruction limit reached!
% 21.90/3.83 % (2703180)------------------------------
% 21.90/3.83 % (2703180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/3.83 % (2703180)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703180)Termination reason: Instruction limit
% 21.90/3.83 % (2703180)Termination phase: Saturation
% 21.90/3.83 % (2703180)Time elapsed: 0.188 s
% 21.90/3.83 % (2703180)Peak memory usage: 92 MB
% 21.90/3.83 % (2703180)Instructions burned: 326 (million)
% 21.90/3.83 % (2703181)Instruction limit reached!
% 21.90/3.83 % (2703181)------------------------------
% 21.90/3.83 % (2703181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/3.83 % (2703181)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703181)Termination reason: Instruction limit
% 21.90/3.83 % (2703181)Termination phase: Saturation
% 21.90/3.83 % (2703181)Time elapsed: 0.142 s
% 21.90/3.83 % (2703181)Peak memory usage: 91 MB
% 21.90/3.83 % (2703181)Instructions burned: 248 (million)
% 21.90/3.83 % (2703182)Instruction limit reached!
% 21.90/3.83 % (2703182)------------------------------
% 21.90/3.83 % (2703182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/3.83 % (2703182)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703182)Termination reason: Instruction limit
% 21.90/3.83 % (2703182)Termination phase: Saturation
% 21.90/3.83 % (2703182)Time elapsed: 0.157 s
% 21.90/3.83 % (2703182)Peak memory usage: 90 MB
% 21.90/3.83 % (2703182)Instructions burned: 296 (million)
% 21.90/3.83 % (2703188)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=468553332:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 21.90/3.83 % (2703189)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=805925549:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 21.90/3.83 % (2703188)Instruction limit reached!
% 21.90/3.83 % (2703188)------------------------------
% 21.90/3.83 % (2703188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.90/3.83 % (2703188)CaDiCaL version: 2.1.3
% 21.90/3.83 % (2703188)Termination reason: Instruction limit
% 21.90/3.83 % (2703188)Termination phase: Saturation
% 21.90/3.83 % (2703188)Time elapsed: 0.105 s
% 21.90/3.83 % (2703188)Peak memory usage: 91 MB
% 21.90/3.83 % (2703188)Instructions burned: 113 (million)
% 21.90/3.83 % (2703189)Instruction limit reached!
% 21.90/3.83 % (2703189)------------------------------
% 21.90/3.83 % (2703189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.90/3.83 % (2703189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703189)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703189)Termination reason: Instruction limit
% 50.07/7.78 % (2703189)Termination phase: Saturation
% 50.07/7.78 % (2703189)Time elapsed: 0.108 s
% 50.07/7.78 % (2703189)Peak memory usage: 89 MB
% 50.07/7.78 % (2703189)Instructions burned: 127 (million)
% 50.07/7.78 % (2703190)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2871892454:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 50.07/7.78 % (2703190)Instruction limit reached!
% 50.07/7.78 % (2703190)------------------------------
% 50.07/7.78 % (2703190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703190)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703190)Termination reason: Instruction limit
% 50.07/7.78 % (2703190)Termination phase: Saturation
% 50.07/7.78 % (2703190)Time elapsed: 0.104 s
% 50.07/7.78 % (2703190)Peak memory usage: 89 MB
% 50.07/7.78 % (2703190)Instructions burned: 115 (million)
% 50.07/7.78 % (2703208)lrs+10_1_sil=8000:sp=occurrence:random_seed=1552150058:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 50.07/7.78 % (2703209)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3827153663:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 50.07/7.78 % (2703211)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2422535005:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 50.07/7.78 % (2703209)Instruction limit reached!
% 50.07/7.78 % (2703209)------------------------------
% 50.07/7.78 % (2703209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703209)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703209)Termination reason: Instruction limit
% 50.07/7.78 % (2703209)Termination phase: Saturation
% 50.07/7.78 % (2703209)Time elapsed: 0.231 s
% 50.07/7.78 % (2703209)Peak memory usage: 93 MB
% 50.07/7.78 % (2703209)Instructions burned: 437 (million)
% 50.07/7.78 % (2703216)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1408194837:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 50.07/7.78 % (2703208)Instruction limit reached!
% 50.07/7.78 % (2703208)------------------------------
% 50.07/7.78 % (2703208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703208)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703208)Termination reason: Instruction limit
% 50.07/7.78 % (2703208)Termination phase: Saturation
% 50.07/7.78 % (2703208)Time elapsed: 0.478 s
% 50.07/7.78 % (2703208)Peak memory usage: 95 MB
% 50.07/7.78 % (2703208)Instructions burned: 908 (million)
% 50.07/7.78 % (2703216)Instruction limit reached!
% 50.07/7.78 % (2703216)------------------------------
% 50.07/7.78 % (2703216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703216)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703216)Termination reason: Instruction limit
% 50.07/7.78 % (2703216)Termination phase: Saturation
% 50.07/7.78 % (2703216)Time elapsed: 0.069 s
% 50.07/7.78 % (2703216)Peak memory usage: 90 MB
% 50.07/7.78 % (2703216)Instructions burned: 134 (million)
% 50.07/7.78 % (2703257)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2524357332:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 50.07/7.78 % (2703257)Refutation not found, incomplete strategy
% 50.07/7.78 % (2703257)------------------------------
% 50.07/7.78 % (2703257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703257)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703257)Termination reason: Refutation not found, incomplete strategy
% 50.07/7.78 % (2703257)Time elapsed: 0.009 s
% 50.07/7.78 % (2703257)Peak memory usage: 88 MB
% 50.07/7.78 % (2703257)Instructions burned: 16 (million)
% 50.07/7.78 % (2703279)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3656306355:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 50.07/7.78 % (2703257)------------------------------
% 50.07/7.78 % (2703257)------------------------------
% 50.07/7.78 % (2703184)Instruction limit reached!
% 50.07/7.78 % (2703184)------------------------------
% 50.07/7.78 % (2703184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703184)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703184)Termination reason: Instruction limit
% 50.07/7.78 % (2703184)Termination phase: Saturation
% 50.07/7.78 % (2703184)Time elapsed: 1.539 s
% 50.07/7.78 % (2703184)Peak memory usage: 135 MB
% 50.07/7.78 % (2703184)Instructions burned: 2353 (million)
% 50.07/7.78 % (2703370)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=353416439:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 50.07/7.78 % (2703370)Instruction limit reached!
% 50.07/7.78 % (2703370)------------------------------
% 50.07/7.78 % (2703370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703370)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703370)Termination reason: Instruction limit
% 50.07/7.78 % (2703370)Termination phase: Saturation
% 50.07/7.78 % (2703370)Time elapsed: 0.082 s
% 50.07/7.78 % (2703370)Peak memory usage: 90 MB
% 50.07/7.78 % (2703370)Instructions burned: 125 (million)
% 50.07/7.78 % (2703375)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=564277373:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 50.07/7.78 % (2703375)Instruction limit reached!
% 50.07/7.78 % (2703375)------------------------------
% 50.07/7.78 % (2703375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703375)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703375)Termination reason: Instruction limit
% 50.07/7.78 % (2703375)Termination phase: Saturation
% 50.07/7.78 % (2703375)Time elapsed: 0.072 s
% 50.07/7.78 % (2703375)Peak memory usage: 89 MB
% 50.07/7.78 % (2703375)Instructions burned: 136 (million)
% 50.07/7.78 % (2703377)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1886899893:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 50.07/7.78 % (2703377)Refutation not found, incomplete strategy
% 50.07/7.78 % (2703377)------------------------------
% 50.07/7.78 % (2703377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703377)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703377)Termination reason: Refutation not found, incomplete strategy
% 50.07/7.78 % (2703377)Time elapsed: 0.002 s
% 50.07/7.78 % (2703377)Peak memory usage: 88 MB
% 50.07/7.78 % (2703377)Instructions burned: 1 (million)
% 50.07/7.78 % (2703379)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1428195398:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 50.07/7.78 % (2703377)------------------------------
% 50.07/7.78 % (2703377)------------------------------
% 50.07/7.78 % (2703379)Instruction limit reached!
% 50.07/7.78 % (2703379)------------------------------
% 50.07/7.78 % (2703379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703379)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703379)Termination reason: Instruction limit
% 50.07/7.78 % (2703379)Termination phase: Saturation
% 50.07/7.78 % (2703379)Time elapsed: 0.213 s
% 50.07/7.78 % (2703379)Peak memory usage: 92 MB
% 50.07/7.78 % (2703379)Instructions burned: 433 (million)
% 50.07/7.78 % (2703382)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1899789151:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 50.07/7.78 % (2703383)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=509545612:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 50.07/7.78 % (2703383)Instruction limit reached!
% 50.07/7.78 % (2703383)------------------------------
% 50.07/7.78 % (2703383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703383)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703383)Termination reason: Instruction limit
% 50.07/7.78 % (2703383)Termination phase: Saturation
% 50.07/7.78 % (2703383)Time elapsed: 0.092 s
% 50.07/7.78 % (2703383)Peak memory usage: 91 MB
% 50.07/7.78 % (2703383)Instructions burned: 151 (million)
% 50.07/7.78 % (2703387)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=960599262:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 50.07/7.78 % (2703211)Instruction limit reached!
% 50.07/7.78 % (2703211)------------------------------
% 50.07/7.78 % (2703211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703211)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703211)Termination reason: Instruction limit
% 50.07/7.78 % (2703211)Termination phase: Saturation
% 50.07/7.78 % (2703211)Time elapsed: 2.722 s
% 50.07/7.78 % (2703211)Peak memory usage: 137 MB
% 50.07/7.78 % (2703211)Instructions burned: 5203 (million)
% 50.07/7.78 % (2703389)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=447322249:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 50.07/7.78 % (2703389)Instruction limit reached!
% 50.07/7.78 % (2703389)------------------------------
% 50.07/7.78 % (2703389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703389)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703389)Termination reason: Instruction limit
% 50.07/7.78 % (2703389)Termination phase: Saturation
% 50.07/7.78 % (2703389)Time elapsed: 0.295 s
% 50.07/7.78 % (2703389)Peak memory usage: 93 MB
% 50.07/7.78 % (2703389)Instructions burned: 667 (million)
% 50.07/7.78 % (2703391)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1861302305:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 50.07/7.78 % (2703391)Instruction limit reached!
% 50.07/7.78 % (2703391)------------------------------
% 50.07/7.78 % (2703391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703391)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703391)Termination reason: Instruction limit
% 50.07/7.78 % (2703391)Termination phase: Saturation
% 50.07/7.78 % (2703391)Time elapsed: 0.093 s
% 50.07/7.78 % (2703391)Peak memory usage: 92 MB
% 50.07/7.78 % (2703391)Instructions burned: 185 (million)
% 50.07/7.78 % (2703393)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=222278382:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 50.07/7.78 % (2703393)Refutation not found, incomplete strategy
% 50.07/7.78 % (2703393)------------------------------
% 50.07/7.78 % (2703393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.07/7.78 % (2703393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.07/7.78 % (2703393)CaDiCaL version: 2.1.3
% 50.07/7.78 % (2703393)Termination reason: Refutation not found, incomplete strategy
% 50.07/7.78 % (2703393)Time elapsed: 0.014 s
% 50.07/7.78 % (2703393)Peak memory usage: 89 MB
% 50.07/7.78 % (2703393)Instructions burned: 17 (million)
% 50.07/7.78 % (2703393)------------------------------
% 50.07/7.78 % (2703393)------------------------------
% 50.07/7.78 % (2703395)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2212842491:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 50.07/7.78 % (2703382)First to succeed.
% 50.07/7.78 % (2703382)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2703027"
% 50.07/7.78 % (2703382)Refutation found. Thanks to Tanya!
% 50.07/7.78 % SZS status Theorem for theBenchmark
% 50.07/7.78 % SZS output start Proof for theBenchmark
% See solution above
% 50.78/7.98 % (2703382)------------------------------
% 50.78/7.98 % (2703382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.78/7.98 % (2703382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.78/7.98 % (2703382)CaDiCaL version: 2.1.3
% 50.78/7.98 % (2703382)Termination reason: Refutation
% 50.78/7.98 % (2703382)Time elapsed: 3.788 s
% 50.78/7.98 % (2703382)Peak memory usage: 174 MB
% 50.78/7.98 % (2703382)Instructions burned: 6043 (million)
% 50.78/7.98 % (2703382)------------------------------
% 50.78/7.98 % (2703382)------------------------------
% 50.78/7.98 % (2703027)Success in time 7.102 s
% 50.78/7.98 % Vampire exiting
%------------------------------------------------------------------------------