%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM217_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 : n026.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 09:39:48 AM UTC 2026
% Result : Theorem 6.17s 1.87s
% Output : Refutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 10 unt; 0 typ; 5 def)
% Number of atoms : 142 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 156 ( 62 ~; 68 |; 16 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 4 prp; 0-3 aty)
% Number of functors : 117 ( 117 usr; 11 con; 0-3 aty)
% Number of variables : 51 ( 0 sgn 47 !; 4 ?; 51 :)
% 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,
vt3: vTerm ).
tff(func_def_9,type,
vnoTerm: vOptTerm ).
tff(func_def_10,type,
vPlus: ( vTerm * vTerm ) > vTerm ).
tff(func_def_11,type,
vt2: vTerm ).
tff(func_def_12,type,
vB: vTy ).
tff(func_def_13,type,
vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_14,type,
vt1: vTerm ).
tff(func_def_15,type,
vreduce: vTerm > vOptTerm ).
tff(func_def_16,type,
vplusop: ( vTerm * vTerm ) > vTerm ).
tff(func_def_17,type,
vgetTerm: vOptTerm > vTerm ).
tff(func_def_18,type,
sK25: vTerm > vTerm ).
tff(func_def_19,type,
sK26: vTerm > vTerm ).
tff(func_def_20,type,
sK27: vTerm > vTerm ).
tff(func_def_21,type,
sK28: vTerm > vTerm ).
tff(func_def_22,type,
sK29: vTerm > vTerm ).
tff(func_def_23,type,
sK30: vTerm > vTerm ).
tff(func_def_24,type,
sK31: vTerm > vTerm ).
tff(func_def_25,type,
sK32: vTerm > vTerm ).
tff(func_def_26,type,
sK33: vOptTerm > vTerm ).
tff(func_def_27,type,
sK34: vTerm > vTerm ).
tff(func_def_28,type,
sK35: vTerm > vTerm ).
tff(func_def_29,type,
sK36: vTerm > vTerm ).
tff(func_def_30,type,
sK37: vTerm > vTerm ).
tff(func_def_31,type,
sK38: vTerm > vTerm ).
tff(func_def_32,type,
sK39: vTerm > vTerm ).
tff(func_def_33,type,
sK40: vOptTerm > vTerm ).
tff(func_def_34,type,
sK41: vTerm > vTerm ).
tff(func_def_35,type,
sK42: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK43: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK44: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK45: ( vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK46: ( vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK47: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK48: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK49: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK50: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK51: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK52: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK53: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_47,type,
sK54: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_48,type,
sK55: vTerm > vTerm ).
tff(func_def_49,type,
sK56: vTerm > vTerm ).
tff(func_def_50,type,
sK57: vTerm > vTerm ).
tff(func_def_51,type,
sK58: vTerm > vTerm ).
tff(func_def_52,type,
sK59: vTerm > vTerm ).
tff(func_def_53,type,
sK60: vTerm > vTerm ).
tff(func_def_54,type,
sK61: vTerm > vTerm ).
tff(func_def_55,type,
sK62: vTerm > vTerm ).
tff(func_def_56,type,
sK63: vTerm > vTerm ).
tff(func_def_57,type,
sK64: vTerm > vTerm ).
tff(func_def_58,type,
sK65: vTerm > vTerm ).
tff(func_def_59,type,
sK66: vTerm > vTerm ).
tff(func_def_60,type,
sK67: vTerm > vTerm ).
tff(func_def_61,type,
sK68: vTerm > vTerm ).
tff(func_def_62,type,
sK69: vTerm > vTerm ).
tff(func_def_63,type,
sK70: vTerm > vTerm ).
tff(func_def_64,type,
sK71: vTerm > vTerm ).
tff(func_def_65,type,
sK72: vTerm > vTerm ).
tff(func_def_66,type,
sK73: vTerm > vTerm ).
tff(func_def_67,type,
sK74: vTerm > vTerm ).
tff(func_def_68,type,
sK75: vTerm > vTerm ).
tff(func_def_69,type,
sK76: vTerm > vOptTerm ).
tff(func_def_70,type,
sK77: vTerm > vTerm ).
tff(func_def_71,type,
sK78: vTerm > vOptTerm ).
tff(func_def_72,type,
sK79: vTerm > vTerm ).
tff(func_def_73,type,
sK80: vTerm > vTerm ).
tff(func_def_74,type,
sK81: vTerm > vTerm ).
tff(func_def_75,type,
sK82: vTerm > vOptTerm ).
tff(func_def_76,type,
sK83: vTerm > vTerm ).
tff(func_def_77,type,
sK84: vTerm > vOptTerm ).
tff(func_def_78,type,
sK85: vTerm > vTerm ).
tff(func_def_79,type,
sK86: vTerm > vOptTerm ).
tff(func_def_80,type,
sK87: vTerm > vTerm ).
tff(func_def_81,type,
sK88: vTerm > vOptTerm ).
tff(func_def_82,type,
sK89: vTerm > vTerm ).
tff(func_def_83,type,
sK90: vTerm > vTerm ).
tff(func_def_84,type,
sK91: vTerm > vOptTerm ).
tff(func_def_85,type,
sK92: vTerm > vTerm ).
tff(func_def_86,type,
sK93: vTerm > vTerm ).
tff(func_def_87,type,
sK94: vTerm > vOptTerm ).
tff(func_def_88,type,
sK95: vTerm > vTerm ).
tff(func_def_89,type,
sK96: vTerm > vTerm ).
tff(func_def_90,type,
sK97: vTerm > vTerm ).
tff(func_def_91,type,
sK98: vTerm > vOptTerm ).
tff(func_def_92,type,
sK99: vTerm > vTerm ).
tff(func_def_93,type,
sK100: vTerm > vTerm ).
tff(func_def_94,type,
sK101: vTerm > vTerm ).
tff(func_def_95,type,
sK102: vTerm > vOptTerm ).
tff(func_def_96,type,
sK103: vTerm > vTerm ).
tff(func_def_97,type,
sK104: vTerm > vOptTerm ).
tff(func_def_98,type,
sK105: vTerm > vTerm ).
tff(func_def_99,type,
sK106: vTerm > vOptTerm ).
tff(func_def_100,type,
sK107: vTerm > vTerm ).
tff(func_def_101,type,
sK108: vTerm > vOptTerm ).
tff(func_def_102,type,
sK109: vTerm > vTerm ).
tff(func_def_103,type,
sK110: vTerm > vOptTerm ).
tff(func_def_104,type,
sK111: vTerm > vTerm ).
tff(func_def_105,type,
sK112: vTerm > vTerm ).
tff(func_def_106,type,
sK113: vTerm > vOptTerm ).
tff(func_def_107,type,
sK114: vTerm > vTerm ).
tff(func_def_108,type,
sK115: vTerm > vTerm ).
tff(func_def_109,type,
sK116: vTerm > vOptTerm ).
tff(func_def_110,type,
sK117: vTerm > vTerm ).
tff(func_def_111,type,
sK118: vTerm > vTerm ).
tff(func_def_112,type,
sK119: vTerm > vTerm ).
tff(func_def_113,type,
sK120: vTerm > vTerm ).
tff(func_def_114,type,
sK121: vTerm > vTerm ).
tff(func_def_115,type,
sK122: vTy ).
tff(func_def_116,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(pred_def_30,type,
sQ124_eqProxy: ( vTerm * vTerm ) > $o ).
tff(pred_def_31,type,
sQ125_eqProxy: ( vOptTerm * vOptTerm ) > $o ).
tff(pred_def_32,type,
sQ126_eqProxy: ( vTy * vTy ) > $o ).
tff(f106,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vt1 != vTrue )
& ( vt1 = vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-False') ).
tff(f109,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vt1 = vTrue )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-True') ).
tff(f110,axiom,
! [X0: vTy,X1: vTerm] :
( ( ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse-t1') ).
tff(f111,conjecture,
! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Preservation-Ifelse') ).
tff(f112,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
tff(f194,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(ennf_transformation,[],[f106]) ).
tff(f195,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(flattening,[],[f194]) ).
tff(f200,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(ennf_transformation,[],[f109]) ).
tff(f201,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(flattening,[],[f200]) ).
tff(f202,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse = vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(ennf_transformation,[],[f110]) ).
tff(f203,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse = vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(flattening,[],[f202]) ).
tff(f204,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f112]) ).
tff(f205,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) ),
inference(flattening,[],[f204]) ).
tff(f328,plain,
( ~ vptchecksimple(sK123,sK122)
& vptchecksimple(vIfelse(vt1,vt2,vt3),sK122)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK123) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122,sK123]),skolemize(X0,sK122),skolemize(X1,sK123)],[f205]) ).
tff(f589,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(cnf_transformation,[],[f195]) ).
tff(f592,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue != vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(cnf_transformation,[],[f201]) ).
tff(f593,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ( vTrue = vt1 )
| ( vFalse = vt1 )
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ( vsomeTerm(X1) != vreduce(vIfelse(vt1,vt2,vt3)) ) ),
inference(cnf_transformation,[],[f203]) ).
tff(f594,plain,
vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK123),
inference(cnf_transformation,[],[f328]) ).
tff(f595,plain,
vptchecksimple(vIfelse(vt1,vt2,vt3),sK122),
inference(cnf_transformation,[],[f328]) ).
tff(f596,plain,
~ vptchecksimple(sK123,sK122),
inference(cnf_transformation,[],[f328]) ).
tff(f605,definition,
! [X0: vTerm,X1: vTerm] :
( sQ124_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ124_eqProxy])],[equality_proxy_definition]) ).
tff(f643,definition,
! [X0: vOptTerm,X1: vOptTerm] :
( sQ125_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ125_eqProxy])],[equality_proxy_definition]) ).
tff(f814,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| sQ124_eqProxy(vTrue,vt1)
| ~ sQ124_eqProxy(vFalse,vt1)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ~ sQ125_eqProxy(vsomeTerm(X1),vreduce(vIfelse(vt1,vt2,vt3))) ),
inference(equality_proxy_replacement,[],[f589,f605,f605,f643]) ).
tff(f817,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ sQ124_eqProxy(vTrue,vt1)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ~ sQ125_eqProxy(vsomeTerm(X1),vreduce(vIfelse(vt1,vt2,vt3))) ),
inference(equality_proxy_replacement,[],[f592,f605,f643]) ).
tff(f818,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| sQ124_eqProxy(vTrue,vt1)
| sQ124_eqProxy(vFalse,vt1)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| ~ sQ125_eqProxy(vsomeTerm(X1),vreduce(vIfelse(vt1,vt2,vt3))) ),
inference(equality_proxy_replacement,[],[f593,f605,f605,f643]) ).
tff(f819,plain,
sQ125_eqProxy(vreduce(vIfelse(vt1,vt2,vt3)),vsomeTerm(sK123)),
inference(equality_proxy_replacement,[],[f594,f643]) ).
tff(f821,plain,
! [X0: vOptTerm,X1: vOptTerm] :
( sQ125_eqProxy(X1,X0)
| ~ sQ125_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f643]) ).
tff(f827,definition,
( spl127_1
<=> sQ124_eqProxy(vFalse,vt1) ),
introduced(definition,[new_symbols(definition,[spl127_1])],[avatar_definition]) ).
tff(f830,definition,
( spl127_2
<=> sQ124_eqProxy(vTrue,vt1) ),
introduced(definition,[new_symbols(definition,[spl127_2])],[avatar_definition]) ).
tff(f833,definition,
( spl127_3
<=> ! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ sQ125_eqProxy(vsomeTerm(X1),vreduce(vIfelse(vt1,vt2,vt3)))
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl127_3])],[avatar_definition]) ).
tff(f834,plain,
( ! [X0: vTy,X1: vTerm] :
( ~ sQ125_eqProxy(vsomeTerm(X1),vreduce(vIfelse(vt1,vt2,vt3)))
| vptchecksimple(X1,X0)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0) )
| ~ spl127_3 ),
inference(avatar_component_clause,[],[f833]) ).
tff(f835,plain,
( spl127_1
| spl127_2
| spl127_3 ),
inference(avatar_split_clause,[],[f818,f833,f830,f827]) ).
tff(f837,plain,
( ~ spl127_2
| spl127_3 ),
inference(avatar_split_clause,[],[f817,f833,f830]) ).
tff(f839,plain,
( ~ spl127_1
| spl127_2
| spl127_3 ),
inference(avatar_split_clause,[],[f814,f833,f830,f827]) ).
tff(f845,plain,
( ! [X0: vTerm,X1: vTy] :
( ~ sQ125_eqProxy(vreduce(vIfelse(vt1,vt2,vt3)),vsomeTerm(X0))
| vptchecksimple(X0,X1)
| ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X1) )
| ~ spl127_3 ),
inference(resolution,[],[f821,f834]) ).
tff(f847,plain,
( ! [X0: vTy] :
( ~ vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
| vptchecksimple(sK123,X0) )
| ~ spl127_3 ),
inference(resolution,[],[f845,f819]) ).
tff(f849,plain,
( vptchecksimple(sK123,sK122)
| ~ spl127_3 ),
inference(resolution,[],[f847,f595]) ).
tff(f850,plain,
( $false
| ~ spl127_3 ),
inference(resolution,[],[f849,f596]) ).
tff(f851,plain,
~ spl127_3,
inference(avatar_contradiction_clause,[],[f850]) ).
cnf(s1,plain,
( spl127_1
| spl127_2
| spl127_3 ),
inference(sat_conversion,[],[f835]) ).
cnf(s2,plain,
( ~ spl127_2
| spl127_3 ),
inference(sat_conversion,[],[f837]) ).
cnf(s3,plain,
( ~ spl127_1
| spl127_2
| spl127_3 ),
inference(sat_conversion,[],[f839]) ).
cnf(s4,plain,
~ spl127_3,
inference(sat_conversion,[],[f851]) ).
cnf(s5,plain,
( ~ spl127_1
| spl127_2 ),
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
~ spl127_2,
inference(rat,[],[s2,s4]) ).
cnf(s7,plain,
~ spl127_1,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s4,s6,s7]) ).
tff(f852,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM217_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n026.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 22:04:42 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running first-order theorem proving
% 0.23/0.29 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
% 6.17/1.87 % (130262)Detected formulas, will run a generic FOF schedule.
% 6.17/1.87 % (130271)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=4206794802:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.17/1.87 % (130277)dis-21_1_sil=8000:lcm=predicate:random_seed=2184529419: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)
% 6.17/1.87 % (130277)First to succeed.
% 6.17/1.87 % (130277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-130262"
% 6.17/1.87 % (130274)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4259537914:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.17/1.87 % (130275)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=94663995:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.17/1.87 % (130272)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=1624519109:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.17/1.87 % (130276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=421036465:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.17/1.87 % (130273)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=1487081912:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.17/1.87 % (130275)Also succeeded, but the first one will report.
% 6.17/1.87 % (130274)Also succeeded, but the first one will report.
% 6.17/1.87 % (130276)Also succeeded, but the first one will report.
% 6.17/1.87 % (130271)Also succeeded, but the first one will report.
% 6.17/1.87 % (130285)lrs+10_1_sil=8000:sp=occurrence:random_seed=1061610108:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 6.17/1.87 % (130286)lrs+10_1_sil=32000:urr=on:br=off:random_seed=636498483:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 6.17/1.87 % (130285)Also succeeded, but the first one will report.
% 6.17/1.87 % (130286)Also succeeded, but the first one will report.
% 6.17/1.87 % (130287)lrs+1011_1_sil=32000:sp=occurrence:random_seed=134342349:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 6.17/1.87 % (130287)Also succeeded, but the first one will report.
% 6.17/1.87 % (130277)Refutation found. Thanks to Tanya!
% 6.17/1.87 % SZS status Theorem for theBenchmark
% 6.17/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 8.17/2.15 % (130277)------------------------------
% 8.17/2.15 % (130277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.17/2.15 % (130277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.17/2.15 % (130277)CaDiCaL version: 2.1.3
% 8.17/2.15 % (130277)Termination reason: Refutation
% 8.17/2.15 % (130277)Time elapsed: 0.012 s
% 8.17/2.15 % (130277)Peak memory usage: 90 MB
% 8.17/2.15 % (130277)Instructions burned: 17 (million)
% 8.17/2.15 % (130277)------------------------------
% 8.17/2.15 % (130277)------------------------------
% 8.17/2.15 % (130262)Success in time 1.127 s
% 8.17/2.16 % Vampire exiting
%------------------------------------------------------------------------------