%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV754-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:19:25 PM UTC 2026
% Result : Unsatisfiable 8.26s 1.76s
% Output : Refutation 9.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 159 ( 19 unt; 18 def)
% Number of atoms : 427 ( 126 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 427 ( 159 ~; 250 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 199 ( 0 sgn 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f140,axiom,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f169,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f169]) ).
fof(f194,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
fof(f228,axiom,
! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f239,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f901,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X0,X2),c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(c_Set_Oinsert(X1,X0,X2),X3)) ),
inference(resolution,[],[f239,f140]) ).
fof(f907,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
inference(resolution,[],[f228,f901]) ).
fof(f908,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2)) ),
inference(resolution,[],[f228,f140]) ).
fof(f910,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption)) ),
inference(resolution,[],[f908,f239]) ).
fof(f921,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0 ),
inference(resolution,[],[f170,f910]) ).
fof(f922,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f170,f907]) ).
fof(f925,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X2 ),
inference(resolution,[],[f922,f228]) ).
fof(f930,plain,
! [X0,X1] :
( hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f925,f170]) ).
fof(f933,plain,
! [X0] :
( c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f930,f54]) ).
fof(f953,plain,
! [X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f933,f933]) ).
fof(f986,plain,
! [X0,X1] :
( ~ hBOOL(c_Public_Okeymode_OSignature)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Public_Okeymode_OEncryption ),
inference(superposition,[],[f54,f933]) ).
fof(f1285,definition,
( spl21_55
<=> hBOOL(c_Public_Okeymode_OSignature) ),
introduced(definition,[new_symbols(definition,[spl21_55])],[avatar_definition]) ).
fof(f1286,plain,
( ~ hBOOL(c_Public_Okeymode_OSignature)
| spl21_55 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1287,plain,
( hBOOL(c_Public_Okeymode_OSignature)
| ~ spl21_55 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1322,definition,
( spl21_64
<=> ! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Public_Okeymode_OEncryption ),
introduced(definition,[new_symbols(definition,[spl21_64])],[avatar_definition]) ).
fof(f1323,plain,
( ! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Public_Okeymode_OEncryption
| ~ spl21_64 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f1324,plain,
( spl21_64
| ~ spl21_55 ),
inference(avatar_split_clause,[],[f986,f1285,f1322]) ).
fof(f1372,definition,
( spl21_74
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl21_74])],[avatar_definition]) ).
fof(f1373,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1)
| ~ spl21_74 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1396,definition,
( spl21_80
<=> ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Public_Okeymode_OEncryption ),
introduced(definition,[new_symbols(definition,[spl21_80])],[avatar_definition]) ).
fof(f1397,plain,
( ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Public_Okeymode_OEncryption
| ~ spl21_80 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1450,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Public_Okeymode_OEncryption ),
inference(superposition,[],[f54,f953]) ).
fof(f1456,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2) ),
inference(superposition,[],[f925,f953]) ).
fof(f1623,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = X2
| c_Public_Okeymode_OEncryption = X2 ),
inference(superposition,[],[f54,f953]) ).
fof(f1629,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2
| c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f925,f953]) ).
fof(f1735,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_Public_Okeymode_OEncryption)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = X2
| c_Public_Okeymode_OEncryption = X2 ),
inference(superposition,[],[f54,f953]) ).
fof(f1845,definition,
( spl21_92
<=> hBOOL(c_Public_Okeymode_OEncryption) ),
introduced(definition,[new_symbols(definition,[spl21_92])],[avatar_definition]) ).
fof(f1846,plain,
( ~ hBOOL(c_Public_Okeymode_OEncryption)
| spl21_92 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f1847,plain,
( hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl21_92 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f1983,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl21_80 ),
inference(forward_demodulation,[],[f1623,f1397]) ).
fof(f1984,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1)) )
| ~ spl21_80 ),
inference(duplicate_literal_removal,[],[f1983]) ).
fof(f2126,definition,
( spl21_110
<=> ! [X3] : c_Public_Okeymode_OEncryption = X3 ),
introduced(definition,[new_symbols(definition,[spl21_110])],[avatar_definition]) ).
fof(f2127,plain,
( ! [X3] : c_Public_Okeymode_OEncryption = X3
| ~ spl21_110 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2142,definition,
( spl21_112
<=> ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1)) ),
introduced(definition,[new_symbols(definition,[spl21_112])],[avatar_definition]) ).
fof(f2143,plain,
( ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| ~ spl21_112 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2199,plain,
( spl21_112
| spl21_110
| ~ spl21_80 ),
inference(avatar_split_clause,[],[f1984,f1396,f2126,f2142]) ).
fof(f2570,definition,
( spl21_135
<=> ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 ) ),
introduced(definition,[new_symbols(definition,[spl21_135])],[avatar_definition]) ).
fof(f2571,plain,
( ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl21_135 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f2573,plain,
( spl21_80
| spl21_135 ),
inference(avatar_split_clause,[],[f1450,f2570,f1396]) ).
fof(f2581,definition,
( spl21_136
<=> ! [X0,X3] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 ) ),
introduced(definition,[new_symbols(definition,[spl21_136])],[avatar_definition]) ).
fof(f2582,plain,
( ! [X3,X0] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_136 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f2586,plain,
( spl21_74
| spl21_136 ),
inference(avatar_split_clause,[],[f1456,f2581,f1372]) ).
fof(f3085,plain,
( ~ hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl21_110 ),
inference(superposition,[],[f54,f2127]) ).
fof(f3090,plain,
( hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl21_110 ),
inference(superposition,[],[f228,f2127]) ).
fof(f3179,plain,
( $false
| ~ spl21_92
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f3085,f1847]) ).
fof(f3180,plain,
( ~ spl21_92
| ~ spl21_110 ),
inference(avatar_contradiction_clause,[],[f3179]) ).
fof(f3201,plain,
( ! [X2,X0,X1] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl21_92 ),
inference(forward_subsumption_resolution,[],[f1735,f1847]) ).
fof(f3358,plain,
( ! [X2] :
( c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl21_64
| ~ spl21_92 ),
inference(forward_demodulation,[],[f3201,f1323]) ).
fof(f3359,plain,
( ! [X2] : c_Public_Okeymode_OEncryption = X2
| ~ spl21_64
| ~ spl21_92 ),
inference(duplicate_literal_removal,[],[f3358]) ).
fof(f3573,plain,
( spl21_110
| ~ spl21_64
| ~ spl21_92 ),
inference(avatar_split_clause,[],[f3359,f1845,f1322,f2126]) ).
fof(f3698,plain,
( $false
| spl21_92
| ~ spl21_110 ),
inference(forward_subsumption_resolution,[],[f3090,f1846]) ).
fof(f3699,plain,
( spl21_92
| ~ spl21_110 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3704,plain,
( ! [X2,X3,X0,X1] :
( c_Public_Okeymode_OEncryption = X2
| c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_112 ),
inference(forward_subsumption_resolution,[],[f1629,f2143]) ).
fof(f3862,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_74
| ~ spl21_112 ),
inference(forward_demodulation,[],[f3704,f1373]) ).
fof(f3863,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl21_74
| ~ spl21_112 ),
inference(duplicate_literal_removal,[],[f3862]) ).
fof(f4006,plain,
( spl21_110
| spl21_110
| ~ spl21_74
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f3863,f2142,f1372,f2126,f2126]) ).
fof(f4279,plain,
( ! [X3,X0] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_135
| ~ spl21_136 ),
inference(forward_subsumption_resolution,[],[f2582,f2571]) ).
fof(f4357,plain,
( spl21_110
| spl21_110
| ~ spl21_135
| ~ spl21_136 ),
inference(avatar_split_clause,[],[f4279,f2581,f2570,f2126,f2126]) ).
fof(f4461,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| c_Public_Okeymode_OSignature = X2 ),
inference(resolution,[],[f921,f228]) ).
fof(f4485,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OSignature = X2
| c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f4461,f953]) ).
fof(f4488,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OSignature = X3
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2) ),
inference(superposition,[],[f4461,f953]) ).
fof(f4498,definition,
( spl21_242
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl21_242])],[avatar_definition]) ).
fof(f4499,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1)
| ~ spl21_242 ),
inference(avatar_component_clause,[],[f4498]) ).
fof(f4505,definition,
( spl21_244
<=> ! [X0,X3] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X3 ) ),
introduced(definition,[new_symbols(definition,[spl21_244])],[avatar_definition]) ).
fof(f4506,plain,
( ! [X3,X0] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X3 )
| ~ spl21_244 ),
inference(avatar_component_clause,[],[f4505]) ).
fof(f4507,plain,
( spl21_242
| spl21_244 ),
inference(avatar_split_clause,[],[f4488,f4505,f4498]) ).
fof(f4510,plain,
( ! [X2,X3,X0,X1] :
( c_Public_Okeymode_OSignature = X2
| c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_112 ),
inference(forward_subsumption_resolution,[],[f4485,f2143]) ).
fof(f4512,definition,
( spl21_245
<=> ! [X0,X1,X3] :
( c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ) ),
introduced(definition,[new_symbols(definition,[spl21_245])],[avatar_definition]) ).
fof(f4513,plain,
( ! [X3,X0,X1] :
( c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_245 ),
inference(avatar_component_clause,[],[f4512]) ).
fof(f4515,definition,
( spl21_246
<=> ! [X2] : c_Public_Okeymode_OSignature = X2 ),
introduced(definition,[new_symbols(definition,[spl21_246])],[avatar_definition]) ).
fof(f4516,plain,
( ! [X2] : c_Public_Okeymode_OSignature = X2
| ~ spl21_246 ),
inference(avatar_component_clause,[],[f4515]) ).
fof(f4518,plain,
( spl21_245
| spl21_246
| ~ spl21_112 ),
inference(avatar_split_clause,[],[f4510,f2142,f4515,f4512]) ).
fof(f4534,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OSignature = X2
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_242 ),
inference(forward_demodulation,[],[f4485,f4499]) ).
fof(f4535,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OSignature = X2 )
| ~ spl21_242 ),
inference(duplicate_literal_removal,[],[f4534]) ).
fof(f4537,definition,
( spl21_247
<=> ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OSignature = X2 ) ),
introduced(definition,[new_symbols(definition,[spl21_247])],[avatar_definition]) ).
fof(f4538,plain,
( ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OSignature = X2 )
| ~ spl21_247 ),
inference(avatar_component_clause,[],[f4537]) ).
fof(f4540,plain,
( spl21_247
| spl21_110
| ~ spl21_242 ),
inference(avatar_split_clause,[],[f4535,f4498,f2126,f4537]) ).
fof(f4542,plain,
( ! [X3,X0] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X3 )
| ~ spl21_135
| ~ spl21_244 ),
inference(forward_subsumption_resolution,[],[f4506,f2571]) ).
fof(f4546,plain,
( spl21_246
| spl21_110
| ~ spl21_135
| ~ spl21_244 ),
inference(avatar_split_clause,[],[f4542,f4505,f2570,f2126,f4515]) ).
fof(f4809,plain,
( ! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X4))
| c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X2,X3) )
| ~ spl21_245 ),
inference(superposition,[],[f925,f4513]) ).
fof(f4885,definition,
( spl21_256
<=> ! [X4,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X4))
| c_Public_Okeymode_OEncryption = X4 ) ),
introduced(definition,[new_symbols(definition,[spl21_256])],[avatar_definition]) ).
fof(f4886,plain,
( ! [X0,X1,X4] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X4))
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl21_256 ),
inference(avatar_component_clause,[],[f4885]) ).
fof(f4887,plain,
( spl21_74
| spl21_256
| ~ spl21_245 ),
inference(avatar_split_clause,[],[f4809,f4512,f4885,f1372]) ).
fof(f4901,definition,
( spl21_259
<=> ! [X1,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(X1,X3)) ) ),
introduced(definition,[new_symbols(definition,[spl21_259])],[avatar_definition]) ).
fof(f4902,plain,
( ! [X3,X1] :
( hBOOL(hAPP(X1,X3))
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl21_259 ),
inference(avatar_component_clause,[],[f4901]) ).
fof(f4951,plain,
( ~ hBOOL(c_Public_Okeymode_OSignature)
| ~ spl21_246 ),
inference(superposition,[],[f54,f4516]) ).
fof(f4956,plain,
( hBOOL(c_Public_Okeymode_OSignature)
| ~ spl21_246 ),
inference(superposition,[],[f228,f4516]) ).
fof(f5010,plain,
( $false
| ~ spl21_55
| ~ spl21_246 ),
inference(forward_subsumption_resolution,[],[f4951,f1287]) ).
fof(f5011,plain,
( ~ spl21_55
| ~ spl21_246 ),
inference(avatar_contradiction_clause,[],[f5010]) ).
fof(f5024,plain,
( $false
| spl21_55
| ~ spl21_246 ),
inference(forward_subsumption_resolution,[],[f4956,f1286]) ).
fof(f5025,plain,
( spl21_55
| ~ spl21_246 ),
inference(avatar_contradiction_clause,[],[f5024]) ).
fof(f5083,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| c_Public_Okeymode_OSignature = X1
| X0 = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl21_247 ),
inference(superposition,[],[f4538,f953]) ).
fof(f5104,plain,
( ! [X0] : c_Public_Okeymode_OEncryption = X0
| ~ spl21_259 ),
inference(resolution,[],[f4902,f54]) ).
fof(f5120,plain,
( spl21_110
| ~ spl21_259 ),
inference(avatar_split_clause,[],[f5104,f4901,f2126]) ).
fof(f5123,plain,
( ! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Public_Okeymode_OEncryption
| ~ spl21_135 ),
inference(resolution,[],[f2571,f228]) ).
fof(f5290,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X0
| hBOOL(hAPP(X1,X0)) )
| ~ spl21_256 ),
inference(resolution,[],[f4886,f170]) ).
fof(f5307,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| hBOOL(hAPP(X1,X0)) )
| ~ spl21_256 ),
inference(duplicate_literal_removal,[],[f5290]) ).
fof(f5313,plain,
( spl21_259
| ~ spl21_256 ),
inference(avatar_split_clause,[],[f5307,f4885,f4901]) ).
fof(f5335,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OSignature = X0
| c_Set_Oinsert(X1,X2,X3) = X4
| c_Public_Okeymode_OEncryption = X4
| X0 = X1
| hBOOL(hAPP(X2,X0)) )
| ~ spl21_247 ),
inference(resolution,[],[f5083,f170]) ).
fof(f5346,plain,
( ! [X2,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X4
| X0 = X1
| hBOOL(hAPP(X2,X0)) )
| ~ spl21_135
| ~ spl21_247 ),
inference(forward_demodulation,[],[f5335,f5123]) ).
fof(f5347,plain,
( ! [X2,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OSignature = X0
| X0 = X1
| hBOOL(hAPP(X2,X0)) )
| ~ spl21_135
| ~ spl21_247 ),
inference(duplicate_literal_removal,[],[f5346]) ).
fof(f5350,definition,
( spl21_263
<=> ! [X2,X0,X1] :
( c_Public_Okeymode_OSignature = X0
| hBOOL(hAPP(X2,X0))
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl21_263])],[avatar_definition]) ).
fof(f5351,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X2,X0))
| c_Public_Okeymode_OSignature = X0
| X0 = X1 )
| ~ spl21_263 ),
inference(avatar_component_clause,[],[f5350]) ).
fof(f5352,plain,
( spl21_263
| spl21_110
| ~ spl21_135
| ~ spl21_247 ),
inference(avatar_split_clause,[],[f5347,f4537,f2570,f2126,f5350]) ).
fof(f5359,plain,
( ! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption = c_Public_Okeymode_OSignature
| c_Public_Okeymode_OEncryption = X0
| hBOOL(hAPP(X1,X2))
| c_Public_Okeymode_OSignature = X2 )
| ~ spl21_263 ),
inference(resolution,[],[f5351,f921]) ).
fof(f5379,plain,
( ! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| hBOOL(hAPP(X1,X2))
| c_Public_Okeymode_OSignature = X2 )
| ~ spl21_263 ),
inference(forward_subsumption_resolution,[],[f5359,f194]) ).
fof(f5383,definition,
( spl21_265
<=> ! [X2,X1] :
( hBOOL(hAPP(X1,X2))
| c_Public_Okeymode_OSignature = X2 ) ),
introduced(definition,[new_symbols(definition,[spl21_265])],[avatar_definition]) ).
fof(f5384,plain,
( ! [X2,X1] :
( hBOOL(hAPP(X1,X2))
| c_Public_Okeymode_OSignature = X2 )
| ~ spl21_265 ),
inference(avatar_component_clause,[],[f5383]) ).
fof(f5385,plain,
( spl21_265
| spl21_110
| ~ spl21_263 ),
inference(avatar_split_clause,[],[f5379,f5350,f2126,f5383]) ).
fof(f5386,plain,
( ! [X0] : c_Public_Okeymode_OSignature = X0
| ~ spl21_265 ),
inference(resolution,[],[f5384,f54]) ).
fof(f5406,plain,
( spl21_246
| ~ spl21_265 ),
inference(avatar_split_clause,[],[f5386,f5383,f4515]) ).
cnf(s39,plain,
( ~ spl21_55
| spl21_64 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s106,plain,
( ~ spl21_80
| spl21_110
| spl21_112 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s196,plain,
( spl21_80
| spl21_135 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s202,plain,
( spl21_74
| spl21_136 ),
inference(sat_conversion,[],[f2586]) ).
cnf(s297,plain,
( ~ spl21_92
| ~ spl21_110 ),
inference(sat_conversion,[],[f3180]) ).
cnf(s339,plain,
( ~ spl21_64
| ~ spl21_92
| spl21_110 ),
inference(sat_conversion,[],[f3573]) ).
cnf(s386,plain,
( spl21_92
| ~ spl21_110 ),
inference(sat_conversion,[],[f3699]) ).
cnf(s429,plain,
( spl21_110
| ~ spl21_74
| spl21_110
| ~ spl21_112 ),
inference(sat_conversion,[],[f4006]) ).
cnf(s430,plain,
( ~ spl21_74
| spl21_110
| ~ spl21_112 ),
inference(rat,[],[s429]) ).
cnf(s506,plain,
( spl21_110
| spl21_110
| ~ spl21_135
| ~ spl21_136 ),
inference(sat_conversion,[],[f4357]) ).
cnf(s507,plain,
( spl21_110
| ~ spl21_135
| ~ spl21_136 ),
inference(rat,[],[s506]) ).
cnf(s528,plain,
( spl21_242
| spl21_244 ),
inference(sat_conversion,[],[f4507]) ).
cnf(s531,plain,
( ~ spl21_112
| spl21_245
| spl21_246 ),
inference(sat_conversion,[],[f4518]) ).
cnf(s536,plain,
( spl21_110
| ~ spl21_242
| spl21_247 ),
inference(sat_conversion,[],[f4540]) ).
cnf(s540,plain,
( spl21_110
| ~ spl21_135
| ~ spl21_244
| spl21_246 ),
inference(sat_conversion,[],[f4546]) ).
cnf(s570,plain,
( spl21_74
| ~ spl21_245
| spl21_256 ),
inference(sat_conversion,[],[f4887]) ).
cnf(s575,plain,
( ~ spl21_55
| ~ spl21_246 ),
inference(sat_conversion,[],[f5011]) ).
cnf(s581,plain,
( spl21_55
| ~ spl21_246 ),
inference(sat_conversion,[],[f5025]) ).
cnf(s609,plain,
( spl21_110
| ~ spl21_259 ),
inference(sat_conversion,[],[f5120]) ).
cnf(s631,plain,
( ~ spl21_256
| spl21_259 ),
inference(sat_conversion,[],[f5313]) ).
cnf(s632,plain,
( spl21_110
| ~ spl21_135
| ~ spl21_247
| spl21_263 ),
inference(sat_conversion,[],[f5352]) ).
cnf(s635,plain,
( spl21_110
| ~ spl21_263
| spl21_265 ),
inference(sat_conversion,[],[f5385]) ).
cnf(s637,plain,
( spl21_246
| ~ spl21_265 ),
inference(sat_conversion,[],[f5406]) ).
cnf(s638,plain,
( ~ spl21_92
| ~ spl21_64 ),
inference(rat,[],[s297,s339]) ).
cnf(s639,plain,
( ~ spl21_112
| ~ spl21_55 ),
inference(rat,[],[s570,s430,s531,s575,s631,s609,s386,s638,s39]) ).
cnf(s640,plain,
~ spl21_55,
inference(rat,[],[s528,s536,s540,s632,s196,s106,s639,s635,s386,s638,s637,s39,s575]) ).
cnf(s642,plain,
~ spl21_246,
inference(rat,[],[s581,s640]) ).
cnf(s649,plain,
~ spl21_265,
inference(rat,[],[s637,s642]) ).
cnf(s650,plain,
~ spl21_110,
inference(rat,[],[s297,s386]) ).
cnf(s651,plain,
~ spl21_263,
inference(rat,[],[s635,s649,s650]) ).
cnf(s652,plain,
~ spl21_259,
inference(rat,[],[s609,s650]) ).
cnf(s654,plain,
~ spl21_256,
inference(rat,[],[s631,s652]) ).
cnf(s660,plain,
spl21_74,
inference(rat,[],[s106,s196,s531,s507,s570,s202,s650,s642,s654]) ).
cnf(s662,plain,
~ spl21_112,
inference(rat,[],[s430,s650,s660]) ).
cnf(s665,plain,
~ spl21_80,
inference(rat,[],[s106,s650,s662]) ).
cnf(s666,plain,
spl21_135,
inference(rat,[],[s196,s665]) ).
cnf(s668,plain,
~ spl21_247,
inference(rat,[],[s632,s651,s650,s666]) ).
cnf(s669,plain,
~ spl21_244,
inference(rat,[],[s540,s642,s650,s666]) ).
cnf(s676,plain,
~ spl21_242,
inference(rat,[],[s536,s650,s668]) ).
cnf(s677,plain,
$false,
inference(rat,[],[s528,s669,s676]) ).
fof(f5408,plain,
$false,
inference(avatar_sat_refutation,[],[s677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV754-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.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 12:26:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.63/1.64 % (2998511)Input is clausal, will run a generic CNF schedule.
% 7.63/1.64 % (2998522)dis-21_1_sil=8000:lcm=predicate:random_seed=2953462954:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.63/1.64 % (2998521)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3486269666:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.63/1.64 % (2998519)lrs+10_1_sil=8000:sp=occurrence:random_seed=1924417819:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.63/1.64 % (2998520)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=105436163:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.63/1.64 % (2998517)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3604059336:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.63/1.64 % (2998516)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=177059132:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.63/1.64 % (2998518)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3437138593:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.63/1.64 % (2998522)Instruction limit reached!
% 7.63/1.64 % (2998522)------------------------------
% 7.63/1.64 % (2998522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/1.64 % (2998522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.64 % (2998522)CaDiCaL version: 2.1.3
% 7.63/1.64 % (2998522)Termination reason: Instruction limit
% 7.63/1.64 % (2998522)Termination phase: Saturation
% 7.63/1.64 % (2998522)Time elapsed: 0.037 s
% 7.63/1.64 % (2998522)Peak memory usage: 89 MB
% 7.63/1.64 % (2998522)Instructions burned: 117 (million)
% 7.63/1.64 % (2998519)Instruction limit reached!
% 7.63/1.64 % (2998519)------------------------------
% 7.63/1.64 % (2998519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/1.64 % (2998519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.64 % (2998519)CaDiCaL version: 2.1.3
% 7.63/1.64 % (2998519)Termination reason: Instruction limit
% 7.63/1.64 % (2998519)Termination phase: Saturation
% 7.63/1.64 % (2998519)Time elapsed: 0.073 s
% 7.63/1.64 % (2998519)Peak memory usage: 90 MB
% 7.63/1.64 % (2998519)Instructions burned: 108 (million)
% 7.63/1.64 % (2998520)Instruction limit reached!
% 7.63/1.64 % (2998520)------------------------------
% 7.63/1.64 % (2998520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/1.64 % (2998520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.64 % (2998520)CaDiCaL version: 2.1.3
% 7.63/1.64 % (2998520)Termination reason: Instruction limit
% 7.63/1.64 % (2998520)Termination phase: Saturation
% 7.63/1.64 % (2998520)Time elapsed: 0.079 s
% 7.63/1.64 % (2998520)Peak memory usage: 88 MB
% 7.63/1.64 % (2998520)Instructions burned: 115 (million)
% 7.63/1.64 % (2998530)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=25657788:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.63/1.64 % (2998521)Instruction limit reached!
% 7.63/1.64 % (2998521)------------------------------
% 7.63/1.64 % (2998521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/1.64 % (2998521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.64 % (2998521)CaDiCaL version: 2.1.3
% 7.63/1.64 % (2998521)Termination reason: Instruction limit
% 7.63/1.64 % (2998521)Termination phase: Saturation
% 7.63/1.64 % (2998521)Time elapsed: 0.114 s
% 7.63/1.64 % (2998521)Peak memory usage: 90 MB
% 7.63/1.64 % (2998521)Instructions burned: 181 (million)
% 7.63/1.64 % (2998530)Instruction limit reached!
% 7.63/1.64 % (2998530)------------------------------
% 7.63/1.64 % (2998530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/1.64 % (2998530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.64 % (2998530)CaDiCaL version: 2.1.3
% 7.63/1.64 % (2998530)Termination reason: Instruction limit
% 7.63/1.64 % (2998530)Termination phase: Saturation
% 7.63/1.64 % (2998530)Time elapsed: 0.048 s
% 7.63/1.64 % (2998530)Peak memory usage: 90 MB
% 7.63/1.64 % (2998530)Instructions burned: 145 (million)
% 7.63/1.64 % (2998532)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1637454014:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.26/1.76 % (2998531)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1381033275:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.26/1.76 % (2998534)lrs+10_64_to=lpo:sil=8000:random_seed=2564591709:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.26/1.76 % (2998535)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1187133109:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.26/1.76 % (2998532)Refutation not found, incomplete strategy
% 8.26/1.76 % (2998532)------------------------------
% 8.26/1.76 % (2998532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998532)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998532)Termination reason: Refutation not found, incomplete strategy
% 8.26/1.76 % (2998532)Time elapsed: 0.042 s
% 8.26/1.76 % (2998532)Peak memory usage: 89 MB
% 8.26/1.76 % (2998532)Instructions burned: 68 (million)
% 8.26/1.76 % (2998535)Instruction limit reached!
% 8.26/1.76 % (2998535)------------------------------
% 8.26/1.76 % (2998535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998535)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998535)Termination reason: Instruction limit
% 8.26/1.76 % (2998535)Termination phase: Saturation
% 8.26/1.76 % (2998535)Time elapsed: 0.060 s
% 8.26/1.76 % (2998535)Peak memory usage: 90 MB
% 8.26/1.76 % (2998535)Instructions burned: 195 (million)
% 8.26/1.76 % (2998534)Instruction limit reached!
% 8.26/1.76 % (2998534)------------------------------
% 8.26/1.76 % (2998534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998534)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998534)Termination reason: Instruction limit
% 8.26/1.76 % (2998534)Termination phase: Saturation
% 8.26/1.76 % (2998534)Time elapsed: 0.079 s
% 8.26/1.76 % (2998534)Peak memory usage: 90 MB
% 8.26/1.76 % (2998534)Instructions burned: 126 (million)
% 8.26/1.76 % (2998531)Instruction limit reached!
% 8.26/1.76 % (2998531)------------------------------
% 8.26/1.76 % (2998531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998531)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998531)Termination reason: Instruction limit
% 8.26/1.76 % (2998531)Termination phase: Saturation
% 8.26/1.76 % (2998531)Time elapsed: 0.107 s
% 8.26/1.76 % (2998531)Peak memory usage: 90 MB
% 8.26/1.76 % (2998531)Instructions burned: 191 (million)
% 8.26/1.76 % (2998540)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3907631317:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.26/1.76 % (2998542)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2667100768:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.26/1.76 % (2998541)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1625683371:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.26/1.76 % (2998540)Instruction limit reached!
% 8.26/1.76 % (2998540)------------------------------
% 8.26/1.76 % (2998540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998540)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998540)Termination reason: Instruction limit
% 8.26/1.76 % (2998540)Termination phase: Saturation
% 8.26/1.76 % (2998540)Time elapsed: 0.055 s
% 8.26/1.76 % (2998540)Peak memory usage: 91 MB
% 8.26/1.76 % (2998540)Instructions burned: 158 (million)
% 8.26/1.76 % (2998532)------------------------------
% 8.26/1.76 % (2998532)------------------------------
% 8.26/1.76 % (2998542)Instruction limit reached!
% 8.26/1.76 % (2998542)------------------------------
% 8.26/1.76 % (2998542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998542)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998542)Termination reason: Instruction limit
% 8.26/1.76 % (2998542)Termination phase: Saturation
% 8.26/1.76 % (2998542)Time elapsed: 0.059 s
% 8.26/1.76 % (2998542)Peak memory usage: 90 MB
% 8.26/1.76 % (2998542)Instructions burned: 106 (million)
% 8.26/1.76 % (2998546)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=930752234:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.26/1.76 % (2998546)Instruction limit reached!
% 8.26/1.76 % (2998546)------------------------------
% 8.26/1.76 % (2998546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998546)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998546)Termination reason: Instruction limit
% 8.26/1.76 % (2998546)Termination phase: Saturation
% 8.26/1.76 % (2998546)Time elapsed: 0.038 s
% 8.26/1.76 % (2998546)Peak memory usage: 90 MB
% 8.26/1.76 % (2998546)Instructions burned: 108 (million)
% 8.26/1.76 % (2998547)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2217344865:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.26/1.76 % (2998548)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1198935765:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.26/1.76 % (2998550)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1971886735:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.26/1.76 % (2998550)Instruction limit reached!
% 8.26/1.76 % (2998550)------------------------------
% 8.26/1.76 % (2998550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998550)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998550)Termination reason: Instruction limit
% 8.26/1.76 % (2998550)Termination phase: Saturation
% 8.26/1.76 % (2998550)Time elapsed: 0.037 s
% 8.26/1.76 % (2998550)Peak memory usage: 89 MB
% 8.26/1.76 % (2998550)Instructions burned: 138 (million)
% 8.26/1.76 % (2998547)Instruction limit reached!
% 8.26/1.76 % (2998547)------------------------------
% 8.26/1.76 % (2998547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998547)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998547)Termination reason: Instruction limit
% 8.26/1.76 % (2998547)Termination phase: Saturation
% 8.26/1.76 % (2998547)Time elapsed: 0.142 s
% 8.26/1.76 % (2998547)Peak memory usage: 90 MB
% 8.26/1.76 % (2998547)Instructions burned: 242 (million)
% 8.26/1.76 % (2998554)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3092372043:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.26/1.76 % (2998555)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4223912605:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.26/1.76 % (2998516)First to succeed.
% 8.26/1.76 % (2998516)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2998511"
% 8.26/1.76 % (2998554)Instruction limit reached!
% 8.26/1.76 % (2998554)------------------------------
% 8.26/1.76 % (2998554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998554)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998554)Termination reason: Instruction limit
% 8.26/1.76 % (2998554)Termination phase: Saturation
% 8.26/1.76 % (2998554)Time elapsed: 0.173 s
% 8.26/1.76 % (2998554)Peak memory usage: 96 MB
% 8.26/1.76 % (2998554)Instructions burned: 501 (million)
% 8.26/1.76 % (2998555)Instruction limit reached!
% 8.26/1.76 % (2998555)------------------------------
% 8.26/1.76 % (2998555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998555)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998555)Termination reason: Instruction limit
% 8.26/1.76 % (2998555)Termination phase: Saturation
% 8.26/1.76 % (2998555)Time elapsed: 0.122 s
% 8.26/1.76 % (2998555)Peak memory usage: 91 MB
% 8.26/1.76 % (2998555)Instructions burned: 191 (million)
% 8.26/1.76 % (2998558)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1563343667:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 8.26/1.76 % (2998558)Instruction limit reached!
% 8.26/1.76 % (2998558)------------------------------
% 8.26/1.76 % (2998558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.26/1.76 % (2998558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.76 % (2998558)CaDiCaL version: 2.1.3
% 8.26/1.76 % (2998558)Termination reason: Instruction limit
% 8.26/1.76 % (2998558)Termination phase: Saturation
% 8.26/1.76 % (2998558)Time elapsed: 0.083 s
% 8.26/1.76 % (2998558)Peak memory usage: 91 MB
% 8.26/1.76 % (2998558)Instructions burned: 265 (million)
% 8.26/1.76 % (2998559)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3526919238:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 8.26/1.76 % (2998516)Refutation found. Thanks to Tanya!
% 8.26/1.76 % SZS status Unsatisfiable for theBenchmark
% 8.26/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 9.73/1.95 % (2998516)------------------------------
% 9.73/1.95 % (2998516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/1.95 % (2998516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/1.95 % (2998516)CaDiCaL version: 2.1.3
% 9.73/1.95 % (2998516)Termination reason: Refutation
% 9.73/1.95 % (2998516)Time elapsed: 0.922 s
% 9.73/1.95 % (2998516)Peak memory usage: 138 MB
% 9.73/1.95 % (2998516)Instructions burned: 1471 (million)
% 9.73/1.95 % (2998516)------------------------------
% 9.73/1.95 % (2998516)------------------------------
% 9.73/1.95 % (2998511)Success in time 1.335 s
% 9.73/1.95 % Vampire exiting
%------------------------------------------------------------------------------