%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM226_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:40:32 AM UTC 2026
% Result : Theorem 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 22 unt; 0 typ; 4 def)
% Number of atoms : 165 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 142 ( 61 ~; 55 |; 14 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 5 prp; 0-3 aty)
% Number of functors : 115 ( 115 usr; 9 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 46 !; 6 ?; 52 :)
% 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,
vB: vTy ).
tff(func_def_11,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_12,type,
vt1: vTerm ).
tff(func_def_13,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_14,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_15,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_16,type,
sK25: vTerm > vTerm ).
tff(func_def_17,type,
sK26: vTerm > vTerm ).
tff(func_def_18,type,
sK27: vTerm > vTerm ).
tff(func_def_19,type,
sK28: vTerm > vTerm ).
tff(func_def_20,type,
sK29: vTerm > vTerm ).
tff(func_def_21,type,
sK30: vTerm > vTerm ).
tff(func_def_22,type,
sK31: vTerm > vTerm ).
tff(func_def_23,type,
sK32: vTerm > vTerm ).
tff(func_def_24,type,
sK33: vOptTerm > vTerm ).
tff(func_def_25,type,
sK34: vTerm > vTerm ).
tff(func_def_26,type,
sK35: vTerm > vTerm ).
tff(func_def_27,type,
sK36: vTerm > vTerm ).
tff(func_def_28,type,
sK37: vTerm > vTerm ).
tff(func_def_29,type,
sK38: vTerm > vTerm ).
tff(func_def_30,type,
sK39: vTerm > vTerm ).
tff(func_def_31,type,
sK40: vOptTerm > vTerm ).
tff(func_def_32,type,
sK41: vTerm > vTerm ).
tff(func_def_33,type,
sK42: ( vTerm * vTerm ) > vTerm ).
tff(func_def_34,type,
sK43: ( vTerm * vTerm ) > vTerm ).
tff(func_def_35,type,
sK44: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK45: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK46: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK47: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK48: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK49: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK50: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK51: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK52: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK53: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK54: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK55: vTerm > vTerm ).
tff(func_def_47,type,
sK56: vTerm > vTerm ).
tff(func_def_48,type,
sK57: vTerm > vTerm ).
tff(func_def_49,type,
sK58: vTerm > vTerm ).
tff(func_def_50,type,
sK59: vTerm > vTerm ).
tff(func_def_51,type,
sK60: vTerm > vTerm ).
tff(func_def_52,type,
sK61: vTerm > vTerm ).
tff(func_def_53,type,
sK62: vTerm > vTerm ).
tff(func_def_54,type,
sK63: vTerm > vTerm ).
tff(func_def_55,type,
sK64: vTerm > vTerm ).
tff(func_def_56,type,
sK65: vTerm > vTerm ).
tff(func_def_57,type,
sK66: vTerm > vTerm ).
tff(func_def_58,type,
sK67: vTerm > vTerm ).
tff(func_def_59,type,
sK68: vTerm > vTerm ).
tff(func_def_60,type,
sK69: vTerm > vTerm ).
tff(func_def_61,type,
sK70: vTerm > vTerm ).
tff(func_def_62,type,
sK71: vTerm > vTerm ).
tff(func_def_63,type,
sK72: vTerm > vTerm ).
tff(func_def_64,type,
sK73: vTerm > vTerm ).
tff(func_def_65,type,
sK74: vTerm > vTerm ).
tff(func_def_66,type,
sK75: vTerm > vTerm ).
tff(func_def_67,type,
sK76: vTerm > vOptTerm ).
tff(func_def_68,type,
sK77: vTerm > vTerm ).
tff(func_def_69,type,
sK78: vTerm > vOptTerm ).
tff(func_def_70,type,
sK79: vTerm > vTerm ).
tff(func_def_71,type,
sK80: vTerm > vTerm ).
tff(func_def_72,type,
sK81: vTerm > vTerm ).
tff(func_def_73,type,
sK82: vTerm > vOptTerm ).
tff(func_def_74,type,
sK83: vTerm > vTerm ).
tff(func_def_75,type,
sK84: vTerm > vOptTerm ).
tff(func_def_76,type,
sK85: vTerm > vTerm ).
tff(func_def_77,type,
sK86: vTerm > vOptTerm ).
tff(func_def_78,type,
sK87: vTerm > vTerm ).
tff(func_def_79,type,
sK88: vTerm > vOptTerm ).
tff(func_def_80,type,
sK89: vTerm > vTerm ).
tff(func_def_81,type,
sK90: vTerm > vTerm ).
tff(func_def_82,type,
sK91: vTerm > vOptTerm ).
tff(func_def_83,type,
sK92: vTerm > vTerm ).
tff(func_def_84,type,
sK93: vTerm > vTerm ).
tff(func_def_85,type,
sK94: vTerm > vOptTerm ).
tff(func_def_86,type,
sK95: vTerm > vTerm ).
tff(func_def_87,type,
sK96: vTerm > vTerm ).
tff(func_def_88,type,
sK97: vTerm > vTerm ).
tff(func_def_89,type,
sK98: vTerm > vOptTerm ).
tff(func_def_90,type,
sK99: vTerm > vTerm ).
tff(func_def_91,type,
sK100: vTerm > vTerm ).
tff(func_def_92,type,
sK101: vTerm > vTerm ).
tff(func_def_93,type,
sK102: vTerm > vOptTerm ).
tff(func_def_94,type,
sK103: vTerm > vTerm ).
tff(func_def_95,type,
sK104: vTerm > vOptTerm ).
tff(func_def_96,type,
sK105: vTerm > vTerm ).
tff(func_def_97,type,
sK106: vTerm > vOptTerm ).
tff(func_def_98,type,
sK107: vTerm > vTerm ).
tff(func_def_99,type,
sK108: vTerm > vOptTerm ).
tff(func_def_100,type,
sK109: vTerm > vTerm ).
tff(func_def_101,type,
sK110: vTerm > vOptTerm ).
tff(func_def_102,type,
sK111: vTerm > vTerm ).
tff(func_def_103,type,
sK112: vTerm > vTerm ).
tff(func_def_104,type,
sK113: vTerm > vOptTerm ).
tff(func_def_105,type,
sK114: vTerm > vTerm ).
tff(func_def_106,type,
sK115: vTerm > vTerm ).
tff(func_def_107,type,
sK116: vTerm > vOptTerm ).
tff(func_def_108,type,
sK117: vTerm > vTerm ).
tff(func_def_109,type,
sK118: vTerm > vTerm ).
tff(func_def_110,type,
sK119: vTerm > vTerm ).
tff(func_def_111,type,
sK120: vTerm > vTerm ).
tff(func_def_112,type,
sK121: vTerm > vTerm ).
tff(func_def_113,type,
sK122: vTy ).
tff(func_def_114,type,
sK123: vTerm ).
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,
sP0: ( vTerm * vTerm ) > $o ).
tff(pred_def_6,type,
sP1: ( vTerm * vTerm ) > $o ).
tff(pred_def_7,type,
sP2: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_8,type,
sP3: ( vTerm * vTerm * vTerm ) > $o ).
tff(pred_def_9,type,
sP4: vTerm > $o ).
tff(pred_def_10,type,
sP5: vTerm > $o ).
tff(pred_def_11,type,
sP6: vTerm > $o ).
tff(pred_def_12,type,
sP7: vTerm > $o ).
tff(pred_def_13,type,
sP8: vTerm > $o ).
tff(pred_def_14,type,
sP9: vTerm > $o ).
tff(pred_def_15,type,
sP10: vTerm > $o ).
tff(pred_def_16,type,
sP11: vTerm > $o ).
tff(pred_def_17,type,
sP12: vTerm > $o ).
tff(pred_def_18,type,
sP13: vTerm > $o ).
tff(pred_def_19,type,
sP14: vTerm > $o ).
tff(pred_def_20,type,
sP15: vTerm > $o ).
tff(pred_def_21,type,
sP16: vTerm > $o ).
tff(pred_def_22,type,
sP17: vTerm > $o ).
tff(pred_def_23,type,
sP18: vTerm > $o ).
tff(pred_def_24,type,
sP19: vTerm > $o ).
tff(pred_def_25,type,
sP20: vTerm > $o ).
tff(pred_def_26,type,
sP21: vTerm > $o ).
tff(pred_def_27,type,
sP22: vTerm > $o ).
tff(pred_def_28,type,
sP23: vTerm > $o ).
tff(pred_def_29,type,
sP24: 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(f63,axiom,
! [X0: vTerm] :
( visSomeTerm(vreduce(X0))
=> ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','reduce-4') ).
tff(f92,axiom,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
=> vptchecksimple(vSucc(X0),vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TSucc') ).
tff(f93,axiom,
! [X0: vTerm,X1: vTy] :
( vptchecksimple(vSucc(X0),X1)
=> ( X1 = vNat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TSucc_inv1') ).
tff(f94,axiom,
! [X0: vTerm] :
( vptchecksimple(vSucc(X0),vNat)
=> vptchecksimple(X0,vNat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','TSucc_inv2') ).
tff(f105,axiom,
! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vt1,X0)
& ( vreduce(vt1) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Succ-IH0') ).
tff(f106,conjecture,
! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt1))
& vptchecksimple(vSucc(vt1),X0)
& ( vreduce(vSucc(vt1)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Succ-isSomeTerm-True') ).
tff(f107,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt1))
& vptchecksimple(vSucc(vt1),X0)
& ( vreduce(vSucc(vt1)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f106]) ).
tff(f127,plain,
! [X0: vOptTerm] :
( ? [X1: vTerm] : ( X0 = vsomeTerm(X1) )
| ~ visSomeTerm(X0) ),
inference(ennf_transformation,[],[f53]) ).
tff(f135,plain,
! [X0: vTerm] :
( ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) )
| ~ visSomeTerm(vreduce(X0)) ),
inference(ennf_transformation,[],[f63]) ).
tff(f173,plain,
! [X0: vTerm] :
( vptchecksimple(vSucc(X0),vNat)
| ~ vptchecksimple(X0,vNat) ),
inference(ennf_transformation,[],[f92]) ).
tff(f174,plain,
! [X0: vTerm,X1: vTy] :
( ( X1 = vNat )
| ~ vptchecksimple(vSucc(X0),X1) ),
inference(ennf_transformation,[],[f93]) ).
tff(f175,plain,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
| ~ vptchecksimple(vSucc(X0),vNat) ),
inference(ennf_transformation,[],[f94]) ).
tff(f187,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt1,X0)
| ( vsomeTerm(X1) != vreduce(vt1) ) ),
inference(ennf_transformation,[],[f105]) ).
tff(f188,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt1,X0)
| ( vsomeTerm(X1) != vreduce(vt1) ) ),
inference(flattening,[],[f187]) ).
tff(f189,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt1))
& vptchecksimple(vSucc(vt1),X0)
& ( vreduce(vSucc(vt1)) = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f107]) ).
tff(f190,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt1))
& vptchecksimple(vSucc(vt1),X0)
& ( vreduce(vSucc(vt1)) = vsomeTerm(X1) ) ),
inference(flattening,[],[f189]) ).
tff(f229,plain,
! [X0: vOptTerm] :
( ( vsomeTerm(sK40(X0)) = X0 )
| ~ visSomeTerm(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X1,sK40(X0))],[f127]) ).
tff(f313,plain,
( ~ vptchecksimple(sK123,sK122)
& visSomeTerm(vreduce(vt1))
& vptchecksimple(vSucc(vt1),sK122)
& ( vreduce(vSucc(vt1)) = vsomeTerm(sK123) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122,sK123]),skolemize(X0,sK122),skolemize(X1,sK123)],[f190]) ).
tff(f354,plain,
! [X0: vTy] :
( ( vB = X0 )
| ( vNat = X0 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f355,plain,
vB != vNat,
inference(cnf_transformation,[],[f39]) ).
tff(f356,plain,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
inference(cnf_transformation,[],[f40]) ).
tff(f383,plain,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
| ( vsomeTerm(sK40(X0)) = X0 ) ),
inference(cnf_transformation,[],[f229]) ).
tff(f413,plain,
! [X0: vTerm] :
( ~ visSomeTerm(vreduce(X0))
| ( vreduce(vSucc(X0)) = vsomeTerm(vSucc(vgetTerm(vreduce(X0)))) ) ),
inference(cnf_transformation,[],[f135]) ).
tff(f560,plain,
! [X0: vTerm] :
( vptchecksimple(vSucc(X0),vNat)
| ~ vptchecksimple(X0,vNat) ),
inference(cnf_transformation,[],[f173]) ).
tff(f561,plain,
! [X0: vTerm,X1: vTy] :
( ( vNat = X1 )
| ~ vptchecksimple(vSucc(X0),X1) ),
inference(cnf_transformation,[],[f174]) ).
tff(f562,plain,
! [X0: vTerm] :
( vptchecksimple(X0,vNat)
| ~ vptchecksimple(vSucc(X0),vNat) ),
inference(cnf_transformation,[],[f175]) ).
tff(f573,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt1,X0)
| ( vsomeTerm(X1) != vreduce(vt1) ) ),
inference(cnf_transformation,[],[f188]) ).
tff(f574,plain,
vreduce(vSucc(vt1)) = vsomeTerm(sK123),
inference(cnf_transformation,[],[f313]) ).
tff(f575,plain,
vptchecksimple(vSucc(vt1),sK122),
inference(cnf_transformation,[],[f313]) ).
tff(f576,plain,
visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f313]) ).
tff(f577,plain,
~ vptchecksimple(sK123,sK122),
inference(cnf_transformation,[],[f313]) ).
tff(f737,plain,
! [X0: vTerm] :
( ~ vptchecksimple(vSucc(X0),vNat)
| vptchecksimple(X0,vNat) ),
inference(consistent_polarity_flipping,[],[f560]) ).
tff(f738,plain,
! [X0: vTerm,X1: vTy] :
( vptchecksimple(vSucc(X0),X1)
| ( vNat = X1 ) ),
inference(consistent_polarity_flipping,[],[f561]) ).
tff(f739,plain,
! [X0: vTerm] :
( vptchecksimple(vSucc(X0),vNat)
| ~ vptchecksimple(X0,vNat) ),
inference(consistent_polarity_flipping,[],[f562]) ).
tff(f750,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt1) )
| vptchecksimple(vt1,X0)
| ~ vptchecksimple(X1,X0) ),
inference(consistent_polarity_flipping,[],[f573]) ).
tff(f751,plain,
vptchecksimple(sK123,sK122),
inference(consistent_polarity_flipping,[],[f577]) ).
tff(f752,plain,
~ vptchecksimple(vSucc(vt1),sK122),
inference(consistent_polarity_flipping,[],[f575]) ).
tff(f759,plain,
( ~ vptchecksimple(vSucc(vt1),vB)
| ( vNat = sK122 ) ),
inference(superposition,[],[f752,f354]) ).
tff(f763,definition,
( spl124_1
<=> ( vNat = sK122 ) ),
introduced(definition,[new_symbols(definition,[spl124_1])],[avatar_definition]) ).
tff(f765,plain,
( ( vNat = sK122 )
| ~ spl124_1 ),
inference(avatar_component_clause,[],[f763]) ).
tff(f772,definition,
( spl124_3
<=> vptchecksimple(vSucc(vt1),vB) ),
introduced(definition,[new_symbols(definition,[spl124_3])],[avatar_definition]) ).
tff(f774,plain,
( ~ vptchecksimple(vSucc(vt1),vB)
| spl124_3 ),
inference(avatar_component_clause,[],[f772]) ).
tff(f775,plain,
( spl124_1
| ~ spl124_3 ),
inference(avatar_split_clause,[],[f759,f772,f763]) ).
tff(f778,plain,
( ! [X0: vTy] :
( ~ vptchecksimple(vSucc(vt1),X0)
| ( vNat = X0 ) )
| spl124_3 ),
inference(superposition,[],[f774,f354]) ).
tff(f782,plain,
vreduce(vt1) = vsomeTerm(sK40(vreduce(vt1))),
inference(resolution,[],[f383,f576]) ).
tff(f791,plain,
sK40(vreduce(vt1)) = vgetTerm(vreduce(vt1)),
inference(superposition,[],[f356,f782]) ).
tff(f799,plain,
( ! [X0: vTy] :
( ( vNat = X0 )
| ( vNat = X0 ) )
| spl124_3 ),
inference(resolution,[],[f738,f778]) ).
tff(f801,plain,
( ! [X0: vTy] : ( vNat = X0 )
| spl124_3 ),
inference(duplicate_literal_removal,[],[f799]) ).
tff(f809,plain,
( ( vNat != vNat )
| spl124_3 ),
inference(superposition,[],[f355,f801]) ).
tff(f815,plain,
( $false
| spl124_3 ),
inference(trivial_inequality_removal,[],[f809]) ).
tff(f816,plain,
spl124_3,
inference(avatar_contradiction_clause,[],[f815]) ).
tff(f817,plain,
( ~ vptchecksimple(vSucc(vt1),vNat)
| ~ spl124_1 ),
inference(superposition,[],[f752,f765]) ).
tff(f818,plain,
( vptchecksimple(sK123,vNat)
| ~ spl124_1 ),
inference(superposition,[],[f751,f765]) ).
tff(f833,plain,
( ~ vptchecksimple(vt1,vNat)
| ~ spl124_1 ),
inference(resolution,[],[f739,f817]) ).
tff(f1345,plain,
! [X0: vTy] :
( ( vreduce(vt1) != vreduce(vt1) )
| vptchecksimple(vt1,X0)
| ~ vptchecksimple(sK40(vreduce(vt1)),X0) ),
inference(superposition,[],[f750,f782]) ).
tff(f1355,plain,
! [X0: vTy] :
( vptchecksimple(vt1,X0)
| ~ vptchecksimple(sK40(vreduce(vt1)),X0) ),
inference(trivial_inequality_removal,[],[f1345]) ).
tff(f1356,plain,
( ~ vptchecksimple(sK40(vreduce(vt1)),vNat)
| ~ spl124_1 ),
inference(resolution,[],[f1355,f833]) ).
tff(f1360,plain,
( ~ vptchecksimple(vgetTerm(vreduce(vt1)),vNat)
| ~ spl124_1 ),
inference(superposition,[],[f1356,f791]) ).
tff(f1366,definition,
( spl124_13
<=> vptchecksimple(vgetTerm(vreduce(vt1)),vNat) ),
introduced(definition,[new_symbols(definition,[spl124_13])],[avatar_definition]) ).
tff(f1375,plain,
( ~ spl124_13
| ~ spl124_1 ),
inference(avatar_split_clause,[],[f1360,f763,f1366]) ).
tff(f1929,plain,
vreduce(vSucc(vt1)) = vsomeTerm(vSucc(vgetTerm(vreduce(vt1)))),
inference(resolution,[],[f413,f576]) ).
tff(f2003,plain,
vSucc(vgetTerm(vreduce(vt1))) = vgetTerm(vreduce(vSucc(vt1))),
inference(superposition,[],[f356,f1929]) ).
tff(f2094,plain,
vSucc(vgetTerm(vreduce(vt1))) = vgetTerm(vsomeTerm(sK123)),
inference(superposition,[],[f2003,f574]) ).
tff(f2116,plain,
( ~ vptchecksimple(vgetTerm(vsomeTerm(sK123)),vNat)
| vptchecksimple(vgetTerm(vreduce(vt1)),vNat) ),
inference(superposition,[],[f737,f2094]) ).
tff(f2120,definition,
( spl124_63
<=> vptchecksimple(vgetTerm(vsomeTerm(sK123)),vNat) ),
introduced(definition,[new_symbols(definition,[spl124_63])],[avatar_definition]) ).
tff(f2122,plain,
( ~ vptchecksimple(vgetTerm(vsomeTerm(sK123)),vNat)
| spl124_63 ),
inference(avatar_component_clause,[],[f2120]) ).
tff(f2123,plain,
( spl124_13
| ~ spl124_63 ),
inference(avatar_split_clause,[],[f2116,f2120,f1366]) ).
tff(f2329,plain,
( ~ vptchecksimple(sK123,vNat)
| spl124_63 ),
inference(superposition,[],[f2122,f356]) ).
tff(f2332,plain,
( $false
| ~ spl124_1
| spl124_63 ),
inference(resolution,[],[f2329,f818]) ).
tff(f2340,plain,
( ~ spl124_1
| spl124_63 ),
inference(avatar_contradiction_clause,[],[f2332]) ).
cnf(s2,plain,
( spl124_1
| ~ spl124_3 ),
inference(sat_conversion,[],[f775]) ).
cnf(s4,plain,
spl124_3,
inference(sat_conversion,[],[f816]) ).
cnf(s16,plain,
( ~ spl124_1
| ~ spl124_13 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s82,plain,
( spl124_13
| ~ spl124_63 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s102,plain,
( ~ spl124_1
| spl124_63 ),
inference(sat_conversion,[],[f2340]) ).
cnf(s109,plain,
spl124_1,
inference(rat,[],[s2,s4]) ).
cnf(s110,plain,
spl124_63,
inference(rat,[],[s102,s109]) ).
cnf(s114,plain,
~ spl124_13,
inference(rat,[],[s16,s109]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s82,s110,s114]) ).
tff(f2342,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM226_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:01:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.30 % (1631575)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (1631584)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2080565388:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % (1631581)% WARNING: option uhcvi not known.
% 0.18/0.30 % (1631580)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1329219863_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (1631582)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1263096837:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (1631581)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=923324460:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (1631583)dis+10_1_sil=32000:sp=arity:random_seed=3705789788:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (1631585)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1881884610:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % (1631586)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4066802311:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % (1631584)Instruction limit reached!
% 0.18/0.30 % (1631584)------------------------------
% 0.18/0.30 % (1631584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (1631584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (1631584)CaDiCaL version: 2.1.3
% 0.18/0.30 % (1631584)Termination reason: Instruction limit
% 0.18/0.30 % (1631584)Termination phase: Saturation
% 0.18/0.30 % (1631584)Time elapsed: 0.029 s
% 0.18/0.30 % (1631584)Peak memory usage: 12 MB
% 0.18/0.30 % (1631584)Instructions burned: 117 (million)
% 0.18/0.30 % Detected minimum model sizes of [1,3,1]
% 0.18/0.30 % Detected maximum model sizes of [3,max,max]
% 0.18/0.30 % TRYING [1,3,1]
% 0.18/0.30 % (1631594)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2749473651:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.30 % (1631586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1631575-1631586"...
% 0.18/0.30 % TRYING [1,3,2]
% 0.18/0.30 % TRYING [1]
% 0.18/0.30 % (1631586)...printing done.
% 0.18/0.30 % TRYING [2]
% 0.18/0.30 % (1631586)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Theorem for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (1631586)------------------------------
% 0.18/0.30 % (1631586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (1631586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (1631586)CaDiCaL version: 2.1.3
% 0.18/0.30 % (1631586)Termination reason: Refutation
% 0.18/0.30 % (1631586)Time elapsed: 0.043 s
% 0.18/0.30 % (1631586)Peak memory usage: 14 MB
% 0.18/0.30 % (1631586)Instructions burned: 68 (million)
% 0.18/0.30 % (1631575)Success in time 0.081 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------