%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM218_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 29.79s 5.09s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 27 unt; 0 typ; 1 def)
% Number of atoms : 186 ( 82 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 182 ( 69 ~; 63 |; 40 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 28 ( 26 usr; 2 prp; 0-2 aty)
% Number of functors : 117 ( 117 usr; 11 con; 0-3 aty)
% Number of variables : 125 ( 0 sgn 111 !; 14 ?; 125 :)
% 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,
sK21: vTerm > vTerm ).
tff(func_def_19,type,
sK22: vTerm > vTerm ).
tff(func_def_20,type,
sK23: vTerm > vTerm ).
tff(func_def_21,type,
sK24: vTerm > vTerm ).
tff(func_def_22,type,
sK25: vTerm > vTerm ).
tff(func_def_23,type,
sK26: vTerm > vTerm ).
tff(func_def_24,type,
sK27: vTerm > vTerm ).
tff(func_def_25,type,
sK28: vTerm > vTerm ).
tff(func_def_26,type,
sK29: vOptTerm > vTerm ).
tff(func_def_27,type,
sK30: vTerm > vTerm ).
tff(func_def_28,type,
sK31: vTerm > vTerm ).
tff(func_def_29,type,
sK32: vTerm > vTerm ).
tff(func_def_30,type,
sK33: vTerm > vTerm ).
tff(func_def_31,type,
sK34: vTerm > vTerm ).
tff(func_def_32,type,
sK35: vTerm > vTerm ).
tff(func_def_33,type,
sK36: vOptTerm > vTerm ).
tff(func_def_34,type,
sK37: vTerm > vTerm ).
tff(func_def_35,type,
sK38: ( vTerm * vTerm ) > vTerm ).
tff(func_def_36,type,
sK39: ( vTerm * vTerm ) > vTerm ).
tff(func_def_37,type,
sK40: ( vTerm * vTerm ) > vTerm ).
tff(func_def_38,type,
sK41: ( vTerm * vTerm ) > vTerm ).
tff(func_def_39,type,
sK42: ( vTerm * vTerm ) > vTerm ).
tff(func_def_40,type,
sK43: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_41,type,
sK44: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_42,type,
sK45: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_43,type,
sK46: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_44,type,
sK47: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_45,type,
sK48: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_46,type,
sK49: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_47,type,
sK50: ( vTerm * vTerm * vTerm ) > vTerm ).
tff(func_def_48,type,
sK51: vTerm > vTerm ).
tff(func_def_49,type,
sK52: vTerm > vTerm ).
tff(func_def_50,type,
sK53: vTerm > vTerm ).
tff(func_def_51,type,
sK54: vTerm > vTerm ).
tff(func_def_52,type,
sK55: vTerm > vTerm ).
tff(func_def_53,type,
sK56: vTerm > vTerm ).
tff(func_def_54,type,
sK57: vTerm > vTerm ).
tff(func_def_55,type,
sK58: vTerm > vTerm ).
tff(func_def_56,type,
sK59: vTerm > vTerm ).
tff(func_def_57,type,
sK60: vTerm > vTerm ).
tff(func_def_58,type,
sK61: vTerm > vTerm ).
tff(func_def_59,type,
sK62: vTerm > vTerm ).
tff(func_def_60,type,
sK63: vTerm > vTerm ).
tff(func_def_61,type,
sK64: vTerm > vTerm ).
tff(func_def_62,type,
sK65: vTerm > vTerm ).
tff(func_def_63,type,
sK66: vTerm > vTerm ).
tff(func_def_64,type,
sK67: vTerm > vTerm ).
tff(func_def_65,type,
sK68: vTerm > vTerm ).
tff(func_def_66,type,
sK69: vTerm > vTerm ).
tff(func_def_67,type,
sK70: vTerm > vTerm ).
tff(func_def_68,type,
sK71: vTerm > vTerm ).
tff(func_def_69,type,
sK72: vTerm > vOptTerm ).
tff(func_def_70,type,
sK73: vTerm > vTerm ).
tff(func_def_71,type,
sK74: vTerm > vOptTerm ).
tff(func_def_72,type,
sK75: vTerm > vTerm ).
tff(func_def_73,type,
sK76: vTerm > vTerm ).
tff(func_def_74,type,
sK77: vTerm > vTerm ).
tff(func_def_75,type,
sK78: vTerm > vOptTerm ).
tff(func_def_76,type,
sK79: vTerm > vTerm ).
tff(func_def_77,type,
sK80: vTerm > vOptTerm ).
tff(func_def_78,type,
sK81: vTerm > vTerm ).
tff(func_def_79,type,
sK82: vTerm > vOptTerm ).
tff(func_def_80,type,
sK83: vTerm > vTerm ).
tff(func_def_81,type,
sK84: vTerm > vOptTerm ).
tff(func_def_82,type,
sK85: vTerm > vTerm ).
tff(func_def_83,type,
sK86: vTerm > vTerm ).
tff(func_def_84,type,
sK87: vTerm > vOptTerm ).
tff(func_def_85,type,
sK88: vTerm > vTerm ).
tff(func_def_86,type,
sK89: vTerm > vTerm ).
tff(func_def_87,type,
sK90: vTerm > vOptTerm ).
tff(func_def_88,type,
sK91: vTerm > vTerm ).
tff(func_def_89,type,
sK92: vTerm > vTerm ).
tff(func_def_90,type,
sK93: vTerm > vTerm ).
tff(func_def_91,type,
sK94: vTerm > vOptTerm ).
tff(func_def_92,type,
sK95: vTerm > vTerm ).
tff(func_def_93,type,
sK96: vTerm > vTerm ).
tff(func_def_94,type,
sK97: vTerm > vTerm ).
tff(func_def_95,type,
sK98: vTerm > vOptTerm ).
tff(func_def_96,type,
sK99: vTerm > vTerm ).
tff(func_def_97,type,
sK100: vTerm > vOptTerm ).
tff(func_def_98,type,
sK101: vTerm > vTerm ).
tff(func_def_99,type,
sK102: vTerm > vOptTerm ).
tff(func_def_100,type,
sK103: vTerm > vTerm ).
tff(func_def_101,type,
sK104: vTerm > vOptTerm ).
tff(func_def_102,type,
sK105: vTerm > vTerm ).
tff(func_def_103,type,
sK106: vTerm > vOptTerm ).
tff(func_def_104,type,
sK107: vTerm > vTerm ).
tff(func_def_105,type,
sK108: vTerm > vTerm ).
tff(func_def_106,type,
sK109: vTerm > vOptTerm ).
tff(func_def_107,type,
sK110: vTerm > vTerm ).
tff(func_def_108,type,
sK111: vTerm > vTerm ).
tff(func_def_109,type,
sK112: vTerm > vOptTerm ).
tff(func_def_110,type,
sK113: vTerm > vTerm ).
tff(func_def_111,type,
sK114: vTerm > vTerm ).
tff(func_def_112,type,
sK115: vTerm > vTerm ).
tff(func_def_113,type,
sK116: vTerm > vTerm ).
tff(func_def_114,type,
sK117: vTerm > vTerm ).
tff(func_def_115,type,
sK118: vTy ).
tff(func_def_116,type,
sK119: 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 > $o ).
tff(pred_def_7,type,
sP2: vTerm > $o ).
tff(pred_def_8,type,
sP3: 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(f38,axiom,
! [X0: vTy] :
( ( X0 = vB )
| ( X0 = vNat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dom-Ty') ).
tff(f39,axiom,
vB != vNat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-B-Nat') ).
tff(f40,axiom,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','getTerm-0') ).
tff(f53,axiom,
! [X0: vOptTerm] :
( visSomeTerm(X0)
=> ? [X1: vTerm] : ( X0 = vsomeTerm(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','isSomeTerm-true-INV') ).
tff(f61,axiom,
! [X0: vTerm,X1: vTerm,X2: vTerm] :
( ( ! [X3: vTerm,X4: vTerm] :
( ( X0 != vTrue )
| ( X1 != X3 )
| ( X2 != X4 ) )
& ! [X5: vTerm,X6: vTerm] :
( ( X0 != vFalse )
| ( X1 != X5 )
| ( X2 != X6 ) )
& visSomeTerm(vreduce(X0)) )
=> ( vreduce(vIfelse(X0,X1,X2)) = vsomeTerm(vIfelse(vgetTerm(vreduce(X0)),X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-2') ).
tff(f86,axiom,
! [X0: vTerm,X1: vTerm,X2: vTy,X3: vTerm] :
( ( vptchecksimple(X0,vB)
& vptchecksimple(X1,X2)
& vptchecksimple(X3,X2) )
=> vptchecksimple(vIfelse(X0,X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tif') ).
tff(f87,axiom,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(vIfelse(X0,X1,X2),X3)
=> vptchecksimple(X0,vB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tif_inv1') ).
tff(f88,axiom,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(vIfelse(X0,X1,X2),X3)
=> vptchecksimple(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tif_inv2') ).
tff(f89,axiom,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(vIfelse(X0,X1,X2),X3)
=> vptchecksimple(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Tif_inv3') ).
tff(f105,axiom,
! [X0: vTy,X1: vTerm] :
( ( vptchecksimple(vt1,X0)
& ( vreduce(vt1) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Ifelse-IH0') ).
tff(f108,conjecture,
! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt1))
& ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) )
=> vptchecksimple(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Preservation-Ifelse-t1-isSomeTerm-True') ).
tff(f109,negated_conjecture,
~ ! [X0: vTy,X1: vTerm] :
( ( visSomeTerm(vreduce(vt1))
& ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = 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(f133,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm] :
( ( vreduce(vIfelse(X0,X1,X2)) = vsomeTerm(vIfelse(vgetTerm(vreduce(X0)),X1,X2)) )
| ? [X3: vTerm,X4: vTerm] :
( ( vTrue = X0 )
& ( X1 = X3 )
& ( X2 = X4 ) )
| ? [X5: vTerm,X6: vTerm] :
( ( vFalse = X0 )
& ( X1 = X5 )
& ( X2 = X6 ) )
| ~ visSomeTerm(vreduce(X0)) ),
inference(ennf_transformation,[],[f61]) ).
tff(f134,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm] :
( ( vreduce(vIfelse(X0,X1,X2)) = vsomeTerm(vIfelse(vgetTerm(vreduce(X0)),X1,X2)) )
| ? [X3: vTerm,X4: vTerm] :
( ( vTrue = X0 )
& ( X1 = X3 )
& ( X2 = X4 ) )
| ? [X5: vTerm,X6: vTerm] :
( ( vFalse = X0 )
& ( X1 = X5 )
& ( X2 = X6 ) )
| ~ visSomeTerm(vreduce(X0)) ),
inference(flattening,[],[f133]) ).
tff(f169,plain,
! [X0: vTerm,X1: vTerm,X2: vTy,X3: vTerm] :
( vptchecksimple(vIfelse(X0,X1,X3),X2)
| ~ vptchecksimple(X0,vB)
| ~ vptchecksimple(X1,X2)
| ~ vptchecksimple(X3,X2) ),
inference(ennf_transformation,[],[f86]) ).
tff(f170,plain,
! [X0: vTerm,X1: vTerm,X2: vTy,X3: vTerm] :
( vptchecksimple(vIfelse(X0,X1,X3),X2)
| ~ vptchecksimple(X0,vB)
| ~ vptchecksimple(X1,X2)
| ~ vptchecksimple(X3,X2) ),
inference(flattening,[],[f169]) ).
tff(f171,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(X0,vB)
| ~ vptchecksimple(vIfelse(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f87]) ).
tff(f172,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(X1,X3)
| ~ vptchecksimple(vIfelse(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f88]) ).
tff(f173,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm,X3: vTy] :
( vptchecksimple(X2,X3)
| ~ vptchecksimple(vIfelse(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f89]) ).
tff(f189,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt1,X0)
| ( vsomeTerm(X1) != vreduce(vt1) ) ),
inference(ennf_transformation,[],[f105]) ).
tff(f190,plain,
! [X0: vTy,X1: vTerm] :
( vptchecksimple(X1,X0)
| ~ vptchecksimple(vt1,X0)
| ( vsomeTerm(X1) != vreduce(vt1) ) ),
inference(flattening,[],[f189]) ).
tff(f195,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt1))
& ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
tff(f196,plain,
? [X0: vTy,X1: vTerm] :
( ~ vptchecksimple(X1,X0)
& visSomeTerm(vreduce(vt1))
& ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),X0)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(X1) ) ),
inference(flattening,[],[f195]) ).
tff(f229,plain,
! [X0: vOptTerm] :
( ( vsomeTerm(sK36(X0)) = X0 )
| ~ visSomeTerm(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X1,sK36(X0))],[f129]) ).
tff(f235,plain,
! [X0: vTerm,X1: vTerm,X2: vTerm] :
( ( vreduce(vIfelse(X0,X1,X2)) = vsomeTerm(vIfelse(vgetTerm(vreduce(X0)),X1,X2)) )
| ( ( vTrue = X0 )
& ( sK43(X0,X1,X2) = X1 )
& ( sK44(X0,X1,X2) = X2 ) )
| ( ( vFalse = X0 )
& ( sK45(X0,X1,X2) = X1 )
& ( sK46(X0,X1,X2) = X2 ) )
| ~ visSomeTerm(vreduce(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46]),skolemize(X3,sK43(X0,X1,X2)),skolemize(X4,sK44(X0,X1,X2)),skolemize(X5,sK45(X0,X1,X2)),skolemize(X6,sK46(X0,X1,X2))],[f134]) ).
tff(f303,plain,
( ~ vptchecksimple(sK119,sK118)
& visSomeTerm(vreduce(vt1))
& ( vt1 != vTrue )
& ( vt1 != vFalse )
& vptchecksimple(vIfelse(vt1,vt2,vt3),sK118)
& ( vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK119) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118,sK119]),skolemize(X0,sK118),skolemize(X1,sK119)],[f196]) ).
tff(f344,plain,
! [X0: vTy] :
( ( vB = X0 )
| ( vNat = X0 ) ),
inference(cnf_transformation,[],[f38]) ).
tff(f345,plain,
vB != vNat,
inference(cnf_transformation,[],[f39]) ).
tff(f346,plain,
! [X0: vTerm] : ( vgetTerm(vsomeTerm(X0)) = X0 ),
inference(cnf_transformation,[],[f40]) ).
tff(f373,plain,
! [X0: vOptTerm] :
( ~ visSomeTerm(X0)
| ( vsomeTerm(sK36(X0)) = X0 ) ),
inference(cnf_transformation,[],[f229]) ).
tff(f402,plain,
! [X2: vTerm,X0: vTerm,X1: vTerm] :
( ~ visSomeTerm(vreduce(X0))
| ( vTrue = X0 )
| ( vFalse = X0 )
| ( vreduce(vIfelse(X0,X1,X2)) = vsomeTerm(vIfelse(vgetTerm(vreduce(X0)),X1,X2)) ) ),
inference(cnf_transformation,[],[f235]) ).
tff(f559,plain,
! [X2: vTy,X3: vTerm,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(X0,vB)
| vptchecksimple(vIfelse(X0,X1,X3),X2)
| ~ vptchecksimple(X1,X2)
| ~ vptchecksimple(X3,X2) ),
inference(cnf_transformation,[],[f170]) ).
tff(f560,plain,
! [X2: vTerm,X3: vTy,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(vIfelse(X0,X1,X2),X3)
| vptchecksimple(X0,vB) ),
inference(cnf_transformation,[],[f171]) ).
tff(f561,plain,
! [X2: vTerm,X3: vTy,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(vIfelse(X0,X1,X2),X3)
| vptchecksimple(X1,X3) ),
inference(cnf_transformation,[],[f172]) ).
tff(f562,plain,
! [X2: vTerm,X3: vTy,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(vIfelse(X0,X1,X2),X3)
| vptchecksimple(X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
tff(f578,plain,
! [X0: vTy,X1: vTerm] :
( ( vsomeTerm(X1) != vreduce(vt1) )
| ~ vptchecksimple(vt1,X0)
| vptchecksimple(X1,X0) ),
inference(cnf_transformation,[],[f190]) ).
tff(f581,plain,
vreduce(vIfelse(vt1,vt2,vt3)) = vsomeTerm(sK119),
inference(cnf_transformation,[],[f303]) ).
tff(f582,plain,
vptchecksimple(vIfelse(vt1,vt2,vt3),sK118),
inference(cnf_transformation,[],[f303]) ).
tff(f583,plain,
vFalse != vt1,
inference(cnf_transformation,[],[f303]) ).
tff(f584,plain,
vTrue != vt1,
inference(cnf_transformation,[],[f303]) ).
tff(f585,plain,
visSomeTerm(vreduce(vt1)),
inference(cnf_transformation,[],[f303]) ).
tff(f586,plain,
~ vptchecksimple(sK119,sK118),
inference(cnf_transformation,[],[f303]) ).
tff(f595,plain,
! [X0: vTerm,X1: vTerm] :
( ( vTrue = vt1 )
| ( vFalse = vt1 )
| ( vreduce(vIfelse(vt1,X0,X1)) = vsomeTerm(vIfelse(vgetTerm(vreduce(vt1)),X0,X1)) ) ),
inference(resolution,[],[f402,f585]) ).
tff(f602,plain,
! [X0: vTerm,X1: vTerm] :
( ( vFalse = vt1 )
| ( vreduce(vIfelse(vt1,X0,X1)) = vsomeTerm(vIfelse(vgetTerm(vreduce(vt1)),X0,X1)) ) ),
inference(forward_subsumption_resolution,[],[f595,f584]) ).
tff(f606,plain,
! [X0: vTerm,X1: vTerm] : ( vreduce(vIfelse(vt1,X0,X1)) = vsomeTerm(vIfelse(vgetTerm(vreduce(vt1)),X0,X1)) ),
inference(forward_subsumption_resolution,[],[f602,f583]) ).
tff(f832,plain,
vptchecksimple(vt2,sK118),
inference(resolution,[],[f561,f582]) ).
tff(f833,plain,
vptchecksimple(vt3,sK118),
inference(resolution,[],[f562,f582]) ).
tff(f985,plain,
vreduce(vt1) = vsomeTerm(sK36(vreduce(vt1))),
inference(resolution,[],[f373,f585]) ).
tff(f1180,plain,
! [X0: vTerm,X1: vTerm] : ( vIfelse(vgetTerm(vreduce(vt1)),X0,X1) = vgetTerm(vreduce(vIfelse(vt1,X0,X1))) ),
inference(superposition,[],[f346,f606]) ).
tff(f2382,plain,
vgetTerm(vsomeTerm(sK119)) = vIfelse(vgetTerm(vreduce(vt1)),vt2,vt3),
inference(superposition,[],[f1180,f581]) ).
tff(f2383,plain,
sK119 = vIfelse(vgetTerm(vreduce(vt1)),vt2,vt3),
inference(forward_demodulation,[],[f2382,f346]) ).
tff(f2452,plain,
vgetTerm(vreduce(vt1)) = sK36(vreduce(vt1)),
inference(superposition,[],[f346,f985]) ).
tff(f2454,plain,
! [X0: vTy] :
( ( vreduce(vt1) != vreduce(vt1) )
| ~ vptchecksimple(vt1,X0)
| vptchecksimple(sK36(vreduce(vt1)),X0) ),
inference(superposition,[],[f578,f985]) ).
tff(f2457,plain,
! [X0: vTy] :
( ~ vptchecksimple(vt1,X0)
| vptchecksimple(sK36(vreduce(vt1)),X0) ),
inference(trivial_inequality_removal,[],[f2454]) ).
tff(f2764,plain,
sK119 = vIfelse(sK36(vreduce(vt1)),vt2,vt3),
inference(superposition,[],[f2383,f2452]) ).
tff(f4096,plain,
! [X2: vTerm,X3: vTerm,X0: vTy,X1: vTerm,X4: vTy] :
( ~ vptchecksimple(X3,X4)
| vptchecksimple(vIfelse(X1,X2,X3),X4)
| ~ vptchecksimple(X2,X4)
| ~ vptchecksimple(X1,X0)
| ( vNat = X0 ) ),
inference(superposition,[],[f559,f344]) ).
tff(f4131,plain,
! [X2: vTy,X0: vTerm,X1: vTerm] :
( ~ vptchecksimple(X1,sK118)
| vptchecksimple(vIfelse(X0,X1,vt3),sK118)
| ~ vptchecksimple(X0,X2)
| ( vNat = X2 ) ),
inference(resolution,[],[f4096,f833]) ).
tff(f35801,plain,
vptchecksimple(vt1,vB),
inference(resolution,[],[f560,f582]) ).
tff(f35805,definition,
( spl120_502
<=> vptchecksimple(sK36(vreduce(vt1)),vB) ),
introduced(definition,[new_symbols(definition,[spl120_502])],[avatar_definition]) ).
tff(f35806,plain,
( vptchecksimple(sK36(vreduce(vt1)),vB)
| ~ spl120_502 ),
inference(avatar_component_clause,[],[f35805]) ).
tff(f35816,plain,
vptchecksimple(sK36(vreduce(vt1)),vB),
inference(resolution,[],[f35801,f2457]) ).
tff(f38628,plain,
! [X0: vTerm,X1: vTy] :
( ~ vptchecksimple(X0,X1)
| vptchecksimple(vIfelse(X0,vt2,vt3),sK118)
| ( vNat = X1 ) ),
inference(resolution,[],[f4131,f832]) ).
tff(f39713,plain,
( vptchecksimple(vIfelse(sK36(vreduce(vt1)),vt2,vt3),sK118)
| ( vB = vNat )
| ~ spl120_502 ),
inference(resolution,[],[f38628,f35806]) ).
tff(f39718,plain,
( vptchecksimple(vIfelse(sK36(vreduce(vt1)),vt2,vt3),sK118)
| ~ spl120_502 ),
inference(forward_subsumption_resolution,[],[f39713,f345]) ).
tff(f39746,plain,
( vptchecksimple(sK119,sK118)
| ~ spl120_502 ),
inference(forward_demodulation,[],[f39718,f2764]) ).
tff(f39751,plain,
( $false
| ~ spl120_502 ),
inference(forward_subsumption_resolution,[],[f39746,f586]) ).
tff(f39752,plain,
~ spl120_502,
inference(avatar_contradiction_clause,[],[f39751]) ).
tff(f39753,plain,
spl120_502,
inference(avatar_split_clause,[],[f35816,f35805]) ).
cnf(s1271,plain,
~ spl120_502,
inference(sat_conversion,[],[f39752]) ).
cnf(s1272,plain,
spl120_502,
inference(sat_conversion,[],[f39753]) ).
cnf(s1273,plain,
$false,
inference(rat,[],[s1271,s1272]) ).
tff(f39754,plain,
$false,
inference(avatar_sat_refutation,[],[s1273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COM218_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 % Computer : n010.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 22:02:17 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.31 Running first-order theorem proving
% 0.24/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.44/4.17 % (2408912)Detected formulas, will run a generic FOF schedule.
% 23.44/4.17 % (2408918)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=3244626934:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.44/4.17 % (2408921)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=332440425:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.44/4.17 % (2408920)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3241578982:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.44/4.17 % (2408922)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=287314141:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.44/4.17 % (2408919)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=3797199706:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.44/4.17 % (2408917)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=1449571871:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.44/4.17 % (2408920)Refutation not found, incomplete strategy
% 23.44/4.17 % (2408920)------------------------------
% 23.44/4.17 % (2408920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.44/4.17 % (2408920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.44/4.17 % (2408920)CaDiCaL version: 2.1.3
% 23.44/4.17 % (2408920)Termination reason: Refutation not found, incomplete strategy
% 23.44/4.17 % (2408920)Time elapsed: 0.006 s
% 23.44/4.17 % (2408920)Peak memory usage: 88 MB
% 23.44/4.17 % (2408920)Instructions burned: 4 (million)
% 23.44/4.17 % (2408923)dis-21_1_sil=8000:lcm=predicate:random_seed=3153624816: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)
% 23.44/4.17 % (2408921)Instruction limit reached!
% 23.44/4.17 % (2408921)------------------------------
% 23.44/4.17 % (2408921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.44/4.17 % (2408921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.44/4.17 % (2408921)CaDiCaL version: 2.1.3
% 23.44/4.17 % (2408921)Termination reason: Instruction limit
% 23.44/4.17 % (2408921)Termination phase: Saturation
% 23.44/4.17 % (2408921)Time elapsed: 0.107 s
% 23.44/4.17 % (2408921)Peak memory usage: 88 MB
% 23.44/4.17 % (2408921)Instructions burned: 120 (million)
% 23.44/4.17 % (2408922)Instruction limit reached!
% 23.44/4.17 % (2408922)------------------------------
% 23.44/4.17 % (2408922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.44/4.17 % (2408922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.44/4.17 % (2408922)CaDiCaL version: 2.1.3
% 23.44/4.17 % (2408922)Termination reason: Instruction limit
% 23.44/4.17 % (2408922)Termination phase: Saturation
% 23.44/4.17 % (2408922)Time elapsed: 0.140 s
% 23.44/4.17 % (2408922)Peak memory usage: 90 MB
% 23.44/4.17 % (2408922)Instructions burned: 139 (million)
% 23.44/4.17 % (2408923)Instruction limit reached!
% 23.44/4.17 % (2408923)------------------------------
% 23.44/4.17 % (2408923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.44/4.17 % (2408923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.44/4.17 % (2408923)CaDiCaL version: 2.1.3
% 23.44/4.17 % (2408923)Termination reason: Instruction limit
% 23.44/4.17 % (2408923)Termination phase: Saturation
% 23.44/4.17 % (2408923)Time elapsed: 0.124 s
% 23.44/4.17 % (2408923)Peak memory usage: 90 MB
% 23.44/4.17 % (2408923)Instructions burned: 129 (million)
% 23.44/4.17 % (2408931)lrs+10_1_sil=8000:sp=occurrence:random_seed=848625549:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 23.44/4.17 % (2408920)------------------------------
% 23.44/4.17 % (2408920)------------------------------
% 23.44/4.17 % (2408932)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1671736769:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 23.44/4.17 % (2408933)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4155558091:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.44/4.17 % (2408931)Instruction limit reached!
% 23.44/4.17 % (2408931)------------------------------
% 23.44/4.17 % (2408931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408931)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408931)Termination reason: Instruction limit
% 29.79/5.08 % (2408931)Termination phase: Saturation
% 29.79/5.08 % (2408931)Time elapsed: 0.175 s
% 29.79/5.08 % (2408931)Peak memory usage: 90 MB
% 29.79/5.08 % (2408931)Instructions burned: 285 (million)
% 29.79/5.08 % (2408932)Instruction limit reached!
% 29.79/5.08 % (2408932)------------------------------
% 29.79/5.08 % (2408932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408932)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408932)Termination reason: Instruction limit
% 29.79/5.08 % (2408932)Termination phase: Saturation
% 29.79/5.08 % (2408932)Time elapsed: 0.150 s
% 29.79/5.08 % (2408932)Peak memory usage: 90 MB
% 29.79/5.08 % (2408932)Instructions burned: 157 (million)
% 29.79/5.08 % (2408940)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=598889148:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 29.79/5.08 % (2408938)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=1127512547:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 29.79/5.08 % (2408933)Instruction limit reached!
% 29.79/5.08 % (2408933)------------------------------
% 29.79/5.08 % (2408933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408933)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408933)Termination reason: Instruction limit
% 29.79/5.08 % (2408933)Termination phase: Saturation
% 29.79/5.08 % (2408933)Time elapsed: 0.320 s
% 29.79/5.08 % (2408933)Peak memory usage: 92 MB
% 29.79/5.08 % (2408933)Instructions burned: 325 (million)
% 29.79/5.08 % (2408941)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3454961166:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 29.79/5.08 % (2408938)Instruction limit reached!
% 29.79/5.08 % (2408938)------------------------------
% 29.79/5.08 % (2408938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408938)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408938)Termination reason: Instruction limit
% 29.79/5.08 % (2408938)Termination phase: Saturation
% 29.79/5.08 % (2408938)Time elapsed: 0.233 s
% 29.79/5.08 % (2408938)Peak memory usage: 91 MB
% 29.79/5.08 % (2408938)Instructions burned: 248 (million)
% 29.79/5.08 % (2408940)Instruction limit reached!
% 29.79/5.08 % (2408940)------------------------------
% 29.79/5.08 % (2408940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408940)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408940)Termination reason: Instruction limit
% 29.79/5.08 % (2408940)Termination phase: Saturation
% 29.79/5.08 % (2408940)Time elapsed: 0.274 s
% 29.79/5.08 % (2408940)Peak memory usage: 90 MB
% 29.79/5.08 % (2408940)Instructions burned: 295 (million)
% 29.79/5.08 % (2408944)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1909822067:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 29.79/5.08 % (2408947)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2520055508:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 29.79/5.08 % (2408946)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3237552937:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 29.79/5.08 % (2408944)Instruction limit reached!
% 29.79/5.08 % (2408944)------------------------------
% 29.79/5.08 % (2408944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408944)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408944)Termination reason: Instruction limit
% 29.79/5.08 % (2408944)Termination phase: Saturation
% 29.79/5.08 % (2408944)Time elapsed: 0.123 s
% 29.79/5.08 % (2408944)Peak memory usage: 91 MB
% 29.79/5.08 % (2408944)Instructions burned: 113 (million)
% 29.79/5.08 % (2408947)Instruction limit reached!
% 29.79/5.08 % (2408947)------------------------------
% 29.79/5.08 % (2408947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408947)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408947)Termination reason: Instruction limit
% 29.79/5.08 % (2408947)Termination phase: Saturation
% 29.79/5.08 % (2408947)Time elapsed: 0.091 s
% 29.79/5.08 % (2408947)Peak memory usage: 89 MB
% 29.79/5.08 % (2408947)Instructions burned: 114 (million)
% 29.79/5.08 % (2408946)Instruction limit reached!
% 29.79/5.08 % (2408946)------------------------------
% 29.79/5.08 % (2408946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408946)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408946)Termination reason: Instruction limit
% 29.79/5.08 % (2408946)Termination phase: Saturation
% 29.79/5.08 % (2408946)Time elapsed: 0.109 s
% 29.79/5.08 % (2408946)Peak memory usage: 88 MB
% 29.79/5.08 % (2408946)Instructions burned: 128 (million)
% 29.79/5.08 % (2408951)lrs+10_1_sil=8000:sp=occurrence:random_seed=4153191629:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 29.79/5.08 % (2408952)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1146412161:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 29.79/5.08 % (2408953)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3661380887:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 29.79/5.08 % (2408952)Instruction limit reached!
% 29.79/5.08 % (2408952)------------------------------
% 29.79/5.08 % (2408952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408952)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408952)Termination reason: Instruction limit
% 29.79/5.08 % (2408952)Termination phase: Saturation
% 29.79/5.08 % (2408952)Time elapsed: 0.400 s
% 29.79/5.08 % (2408952)Peak memory usage: 92 MB
% 29.79/5.08 % (2408952)Instructions burned: 437 (million)
% 29.79/5.08 % (2408959)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4214601180:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 29.79/5.08 % (2408951)Instruction limit reached!
% 29.79/5.08 % (2408951)------------------------------
% 29.79/5.08 % (2408951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408951)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408951)Termination reason: Instruction limit
% 29.79/5.08 % (2408951)Termination phase: Saturation
% 29.79/5.08 % (2408951)Time elapsed: 0.773 s
% 29.79/5.08 % (2408951)Peak memory usage: 92 MB
% 29.79/5.08 % (2408951)Instructions burned: 908 (million)
% 29.79/5.08 % (2408959)Instruction limit reached!
% 29.79/5.08 % (2408959)------------------------------
% 29.79/5.08 % (2408959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.08 % (2408959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.08 % (2408959)CaDiCaL version: 2.1.3
% 29.79/5.08 % (2408959)Termination reason: Instruction limit
% 29.79/5.08 % (2408959)Termination phase: Saturation
% 29.79/5.08 % (2408959)Time elapsed: 0.123 s
% 29.79/5.08 % (2408959)Peak memory usage: 90 MB
% 29.79/5.09 % (2408959)Instructions burned: 135 (million)
% 29.79/5.09 % (2408961)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2364318247:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 29.79/5.09 % (2408962)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2324755244:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 29.79/5.09 % (2408941)Instruction limit reached!
% 29.79/5.09 % (2408941)------------------------------
% 29.79/5.09 % (2408941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.09 % (2408941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.09 % (2408941)CaDiCaL version: 2.1.3
% 29.79/5.09 % (2408941)Termination reason: Instruction limit
% 29.79/5.09 % (2408941)Termination phase: Saturation
% 29.79/5.09 % (2408941)Time elapsed: 2.120 s
% 29.79/5.09 % (2408941)Peak memory usage: 135 MB
% 29.79/5.09 % (2408941)Instructions burned: 2351 (million)
% 29.79/5.09 % (2408961)Instruction limit reached!
% 29.79/5.09 % (2408961)------------------------------
% 29.79/5.09 % (2408961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.09 % (2408961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.09 % (2408961)CaDiCaL version: 2.1.3
% 29.79/5.09 % (2408961)Termination reason: Instruction limit
% 29.79/5.09 % (2408961)Termination phase: Saturation
% 29.79/5.09 % (2408961)Time elapsed: 0.525 s
% 29.79/5.09 % (2408961)Peak memory usage: 98 MB
% 29.79/5.09 % (2408961)Instructions burned: 593 (million)
% 29.79/5.09 % (2408966)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=2611307796:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 29.79/5.09 % (2408967)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1508567123:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 29.79/5.09 % (2408966)Instruction limit reached!
% 29.79/5.09 % (2408966)------------------------------
% 29.79/5.09 % (2408966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.09 % (2408966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.09 % (2408966)CaDiCaL version: 2.1.3
% 29.79/5.09 % (2408966)Termination reason: Instruction limit
% 29.79/5.09 % (2408966)Termination phase: Saturation
% 29.79/5.09 % (2408966)Time elapsed: 0.116 s
% 29.79/5.09 % (2408966)Peak memory usage: 89 MB
% 29.79/5.09 % (2408966)Instructions burned: 125 (million)
% 29.79/5.09 % (2408967)Instruction limit reached!
% 29.79/5.09 % (2408967)------------------------------
% 29.79/5.09 % (2408967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.09 % (2408967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.09 % (2408967)CaDiCaL version: 2.1.3
% 29.79/5.09 % (2408967)Termination reason: Instruction limit
% 29.79/5.09 % (2408967)Termination phase: Saturation
% 29.79/5.09 % (2408967)Time elapsed: 0.115 s
% 29.79/5.09 % (2408967)Peak memory usage: 89 MB
% 29.79/5.09 % (2408967)Instructions burned: 135 (million)
% 29.79/5.09 % (2408970)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1621193299:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 29.79/5.09 % (2408970)Refutation not found, incomplete strategy
% 29.79/5.09 % (2408970)------------------------------
% 29.79/5.09 % (2408970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.79/5.09 % (2408970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.79/5.09 % (2408970)CaDiCaL version: 2.1.3
% 29.79/5.09 % (2408970)Termination reason: Refutation not found, incomplete strategy
% 29.79/5.09 % (2408970)Time elapsed: 0.004 s
% 29.79/5.09 % (2408970)Peak memory usage: 88 MB
% 29.79/5.09 % (2408970)Instructions burned: 1 (million)
% 29.79/5.09 % (2408918)First to succeed.
% 29.79/5.09 % (2408918)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2408912"
% 29.79/5.09 % (2408971)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=630749114:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 29.79/5.09 % (2408918)Refutation found. Thanks to Tanya!
% 29.79/5.09 % SZS status Theorem for theBenchmark
% 29.79/5.09 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/5.31 % (2408918)------------------------------
% 0.28/5.31 % (2408918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/5.31 % (2408918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/5.31 % (2408918)CaDiCaL version: 2.1.3
% 0.28/5.31 % (2408918)Termination reason: Refutation
% 0.28/5.31 % (2408918)Time elapsed: 3.695 s
% 0.28/5.31 % (2408918)Peak memory usage: 178 MB
% 0.28/5.31 % (2408918)Instructions burned: 6677 (million)
% 0.28/5.31 % (2408918)------------------------------
% 0.28/5.31 % (2408918)------------------------------
% 0.28/5.31 % (2408912)Success in time 4.163 s
% 0.28/5.31 % Vampire exiting
%------------------------------------------------------------------------------