%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT072-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:45:57 AM UTC 2026
% Result : Unsatisfiable 5.12s 1.34s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 37
% Syntax : Number of formulae : 245 ( 72 unt; 35 def)
% Number of atoms : 612 ( 160 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 709 ( 342 ~; 338 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X2,f(f(X1,X1),X2)),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oml_23A) ).
fof(f2,negated_conjecture,
f(a,f(f(b,c),f(b,c))) != f(c,f(f(b,a),f(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f3,definition,
sF0 = f(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
f(b,c) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = f(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
f(sF0,sF0) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = f(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
f(a,sF1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = f(b,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
f(b,a) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF4 = f(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f12,plain,
f(sF3,sF3) = sF4,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF5 = f(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f14,plain,
f(c,sF4) = sF5,
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
sF2 != sF5,
inference(definition_folding,[],[f2,f14,f12,f10,f10,f8,f6,f4,f4]) ).
fof(f18,plain,
! [X2,X3,X0] : f(f(X0,X3),f(X0,f(f(f(f(X2,f(f(X0,X0),X2)),X2),f(f(X0,X0),f(f(X2,f(f(X0,X0),X2)),X2))),f(f(X2,f(f(X0,X0),X2)),X2)))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X3,X0] : f(X0,X2) = f(X0,f(f(X0,X2),f(f(X3,f(f(f(X0,X2),f(X0,X2)),X3)),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,f(f(X4,f(f(X0,X0),X4)),X4))) = X0,
inference(superposition,[],[f19,f1]) ).
fof(f30,definition,
( spl6_1
<=> f(a,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f32,plain,
( f(a,sF1) = sF2
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,plain,
spl6_1,
inference(avatar_split_clause,[],[f8,f30]) ).
fof(f35,definition,
( spl6_2
<=> f(c,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f37,plain,
( f(c,sF4) = sF5
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f38,plain,
spl6_2,
inference(avatar_split_clause,[],[f14,f35]) ).
fof(f42,definition,
( spl6_3
<=> f(b,a) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f44,plain,
( f(b,a) = sF3
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
spl6_3,
inference(avatar_split_clause,[],[f10,f42]) ).
fof(f49,definition,
( spl6_4
<=> f(b,c) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f51,plain,
( f(b,c) = sF0
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
spl6_4,
inference(avatar_split_clause,[],[f4,f49]) ).
fof(f56,definition,
( spl6_5
<=> f(sF0,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f58,plain,
( f(sF0,sF0) = sF1
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
spl6_5,
inference(avatar_split_clause,[],[f6,f56]) ).
fof(f61,definition,
( spl6_6
<=> f(sF3,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f63,plain,
( f(sF3,sF3) = sF4
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
spl6_6,
inference(avatar_split_clause,[],[f12,f61]) ).
fof(f66,definition,
( spl6_7
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f68,plain,
( sF2 != sF5
| spl6_7 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
~ spl6_7,
inference(avatar_split_clause,[],[f15,f66]) ).
fof(f87,plain,
! [X3,X0,X1] : f(f(X0,X1),f(X0,f(f(X3,f(f(X0,X0),X3)),X3))) = X0,
inference(superposition,[],[f19,f18]) ).
fof(f100,plain,
! [X2,X0,X1] : f(f(X0,X1),f(X0,f(f(f(X0,f(f(X2,f(f(X0,X0),X2)),X2)),X0),f(X0,f(f(X2,f(f(X0,X0),X2)),X2))))) = X0,
inference(superposition,[],[f87,f87]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : f(f(X0,X2),f(X0,f(f(f(f(f(X0,X0),X1),f(f(X3,f(f(f(f(X0,X0),X1),f(f(X0,X0),X1)),X3)),X3)),f(f(X0,X0),X1)),f(f(f(X0,X0),X1),f(f(X3,f(f(f(f(X0,X0),X1),f(f(X0,X0),X1)),X3)),X3))))) = X0,
inference(superposition,[],[f87,f19]) ).
fof(f103,plain,
! [X2,X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(f(f(f(X0,X1),f(f(X2,f(f(f(X0,X1),f(X0,X1)),X2)),X2)),f(X0,X1)),f(f(X0,X1),f(f(X2,f(f(f(X0,X1),f(X0,X1)),X2)),X2))))),
inference(superposition,[],[f19,f87]) ).
fof(f108,plain,
( ! [X2,X0,X1] : a = f(f(f(sF3,f(a,X0)),X1),f(a,f(f(X2,f(f(a,a),X2)),X2)))
| ~ spl6_3 ),
inference(superposition,[],[f21,f44]) ).
fof(f109,plain,
( ! [X2,X0,X1] : c = f(f(f(sF0,f(c,X0)),X1),f(c,f(f(X2,f(f(c,c),X2)),X2)))
| ~ spl6_4 ),
inference(superposition,[],[f21,f51]) ).
fof(f125,plain,
! [X0,X1,X4] : f(f(X0,X1),f(X1,f(f(X4,f(f(X1,X1),X4)),X4))) = X1,
inference(superposition,[],[f21,f87]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,f(f(f(X0,f(f(X4,f(f(X0,X0),X4)),X4)),X0),f(X0,f(f(X4,f(f(X0,X0),X4)),X4))))) = X0,
inference(superposition,[],[f21,f87]) ).
fof(f138,plain,
! [X2,X3,X0,X1] : f(f(f(f(X1,X0),f(X0,X2)),X3),f(X0,X0)) = X0,
inference(backward_demodulation,[],[f131,f125]) ).
fof(f142,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(backward_demodulation,[],[f100,f125]) ).
fof(f143,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(backward_demodulation,[],[f103,f125]) ).
fof(f145,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,f(f(X0,X0),X1))) = X0,
inference(backward_demodulation,[],[f101,f125]) ).
fof(f154,plain,
( b = f(sF3,f(b,b))
| ~ spl6_3 ),
inference(superposition,[],[f142,f44]) ).
fof(f155,plain,
( b = f(sF0,f(b,b))
| ~ spl6_4 ),
inference(superposition,[],[f142,f51]) ).
fof(f156,plain,
( sF0 = f(sF1,sF1)
| ~ spl6_5 ),
inference(superposition,[],[f142,f58]) ).
fof(f157,plain,
( a = f(sF2,f(a,a))
| ~ spl6_1 ),
inference(superposition,[],[f142,f32]) ).
fof(f158,plain,
( sF3 = f(sF4,sF4)
| ~ spl6_6 ),
inference(superposition,[],[f142,f63]) ).
fof(f159,plain,
( c = f(sF5,f(c,c))
| ~ spl6_2 ),
inference(superposition,[],[f142,f37]) ).
fof(f161,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(superposition,[],[f142,f142]) ).
fof(f192,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X1,f(f(X0,X0),X1)),X1)),
inference(superposition,[],[f143,f87]) ).
fof(f207,plain,
! [X0,X1] : f(f(X0,X1),f(X1,X1)) = X1,
inference(backward_demodulation,[],[f125,f192]) ).
fof(f215,plain,
( ! [X0,X1] : a = f(f(f(sF3,f(a,X0)),X1),f(a,a))
| ~ spl6_3 ),
inference(backward_demodulation,[],[f108,f192]) ).
fof(f222,plain,
( ! [X0,X1] : c = f(f(f(sF0,f(c,X0)),X1),f(c,c))
| ~ spl6_4 ),
inference(backward_demodulation,[],[f109,f192]) ).
fof(f240,plain,
( a = f(sF3,f(a,a))
| ~ spl6_3 ),
inference(superposition,[],[f207,f44]) ).
fof(f241,plain,
( c = f(sF0,f(c,c))
| ~ spl6_4 ),
inference(superposition,[],[f207,f51]) ).
fof(f243,plain,
( sF1 = f(sF2,f(sF1,sF1))
| ~ spl6_1 ),
inference(superposition,[],[f207,f32]) ).
fof(f245,plain,
( sF4 = f(sF5,f(sF4,sF4))
| ~ spl6_2 ),
inference(superposition,[],[f207,f37]) ).
fof(f255,plain,
( sF4 = f(sF5,sF3)
| ~ spl6_2
| ~ spl6_6 ),
inference(forward_demodulation,[],[f245,f158]) ).
fof(f256,plain,
( sF1 = f(sF2,sF0)
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f243,f156]) ).
fof(f277,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X0,X0),X1)),
inference(superposition,[],[f143,f145]) ).
fof(f300,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(superposition,[],[f277,f207]) ).
fof(f331,plain,
! [X0,X1] : f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),X0),
inference(superposition,[],[f300,f142]) ).
fof(f447,definition,
( spl6_12
<=> b = f(sF3,f(b,b)) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f449,plain,
( b = f(sF3,f(b,b))
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,plain,
( spl6_12
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f154,f42,f447]) ).
fof(f452,definition,
( spl6_13
<=> b = f(sF0,f(b,b)) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f454,plain,
( b = f(sF0,f(b,b))
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( spl6_13
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f155,f49,f452]) ).
fof(f457,definition,
( spl6_14
<=> a = f(sF2,f(a,a)) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f459,plain,
( a = f(sF2,f(a,a))
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( spl6_14
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f157,f30,f457]) ).
fof(f462,definition,
( spl6_15
<=> c = f(sF5,f(c,c)) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f464,plain,
( c = f(sF5,f(c,c))
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,plain,
( spl6_15
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f159,f35,f462]) ).
fof(f467,definition,
( spl6_16
<=> sF1 = f(sF2,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f469,plain,
( sF1 = f(sF2,sF0)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
( spl6_16
| ~ spl6_1
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f256,f56,f30,f467]) ).
fof(f492,plain,
( sF2 = f(sF1,f(sF2,sF2))
| ~ spl6_16 ),
inference(superposition,[],[f142,f469]) ).
fof(f497,definition,
( spl6_17
<=> sF4 = f(sF5,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
fof(f499,plain,
( sF4 = f(sF5,sF3)
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( spl6_17
| ~ spl6_2
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f255,f61,f35,f497]) ).
fof(f502,definition,
( spl6_18
<=> a = f(sF3,f(a,a)) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f504,plain,
( a = f(sF3,f(a,a))
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl6_18
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f240,f42,f502]) ).
fof(f511,plain,
( sF3 = f(a,f(sF3,sF3))
| ~ spl6_18 ),
inference(superposition,[],[f142,f504]) ).
fof(f512,plain,
( sF3 = f(a,sF4)
| ~ spl6_6
| ~ spl6_18 ),
inference(forward_demodulation,[],[f511,f63]) ).
fof(f519,plain,
( sF5 = f(sF4,f(sF5,sF5))
| ~ spl6_17 ),
inference(superposition,[],[f142,f499]) ).
fof(f524,definition,
( spl6_19
<=> c = f(sF0,f(c,c)) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f526,plain,
( c = f(sF0,f(c,c))
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,plain,
( spl6_19
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f241,f49,f524]) ).
fof(f533,plain,
( sF0 = f(c,f(sF0,sF0))
| ~ spl6_19 ),
inference(superposition,[],[f142,f526]) ).
fof(f534,plain,
( sF0 = f(c,sF1)
| ~ spl6_5
| ~ spl6_19 ),
inference(forward_demodulation,[],[f533,f58]) ).
fof(f699,definition,
( spl6_21
<=> sF2 = f(sF1,f(sF2,sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f701,plain,
( sF2 = f(sF1,f(sF2,sF2))
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,plain,
( spl6_21
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f492,f467,f699]) ).
fof(f710,definition,
( spl6_22
<=> sF0 = f(c,sF1) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f712,plain,
( sF0 = f(c,sF1)
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f713,plain,
( spl6_22
| ~ spl6_5
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f534,f524,f56,f710]) ).
fof(f724,definition,
( spl6_23
<=> sF3 = f(a,sF4) ),
introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).
fof(f726,plain,
( sF3 = f(a,sF4)
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f727,plain,
( spl6_23
| ~ spl6_6
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f512,f502,f61,f724]) ).
fof(f758,definition,
( spl6_25
<=> sF5 = f(sF4,f(sF5,sF5)) ),
introduced(definition,[new_symbols(definition,[spl6_25])],[avatar_definition]) ).
fof(f760,plain,
( sF5 = f(sF4,f(sF5,sF5))
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl6_25
| ~ spl6_17 ),
inference(avatar_split_clause,[],[f519,f497,f758]) ).
fof(f867,plain,
( ! [X0] : a = f(f(f(sF3,sF3),X0),f(a,a))
| ~ spl6_3
| ~ spl6_23 ),
inference(superposition,[],[f215,f726]) ).
fof(f890,plain,
( ! [X0] : a = f(f(sF4,X0),f(a,a))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_23 ),
inference(forward_demodulation,[],[f867,f63]) ).
fof(f915,plain,
( ! [X0] : c = f(f(f(sF0,sF0),X0),f(c,c))
| ~ spl6_4
| ~ spl6_22 ),
inference(superposition,[],[f222,f712]) ).
fof(f939,plain,
( ! [X0] : c = f(f(sF1,X0),f(c,c))
| ~ spl6_4
| ~ spl6_5
| ~ spl6_22 ),
inference(forward_demodulation,[],[f915,f58]) ).
fof(f1305,plain,
( a = f(sF5,f(a,a))
| ~ spl6_3
| ~ spl6_6
| ~ spl6_23
| ~ spl6_25 ),
inference(superposition,[],[f890,f760]) ).
fof(f1333,plain,
( c = f(sF2,f(c,c))
| ~ spl6_4
| ~ spl6_5
| ~ spl6_21
| ~ spl6_22 ),
inference(superposition,[],[f939,f701]) ).
fof(f1473,definition,
( spl6_32
<=> a = f(sF5,f(a,a)) ),
introduced(definition,[new_symbols(definition,[spl6_32])],[avatar_definition]) ).
fof(f1475,plain,
( a = f(sF5,f(a,a))
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1476,plain,
( spl6_32
| ~ spl6_3
| ~ spl6_6
| ~ spl6_23
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f1305,f758,f724,f61,f42,f1473]) ).
fof(f1484,plain,
( a = f(f(a,a),sF5)
| ~ spl6_32 ),
inference(superposition,[],[f331,f1475]) ).
fof(f1526,definition,
( spl6_35
<=> c = f(sF2,f(c,c)) ),
introduced(definition,[new_symbols(definition,[spl6_35])],[avatar_definition]) ).
fof(f1528,plain,
( c = f(sF2,f(c,c))
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1529,plain,
( spl6_35
| ~ spl6_4
| ~ spl6_5
| ~ spl6_21
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f1333,f710,f699,f56,f49,f1526]) ).
fof(f1538,plain,
( c = f(f(c,c),sF2)
| ~ spl6_35 ),
inference(superposition,[],[f331,f1528]) ).
fof(f1772,definition,
( spl6_38
<=> c = f(f(c,c),sF2) ),
introduced(definition,[new_symbols(definition,[spl6_38])],[avatar_definition]) ).
fof(f1774,plain,
( c = f(f(c,c),sF2)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1775,plain,
( spl6_38
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f1538,f1526,f1772]) ).
fof(f1777,plain,
( ! [X0,X1] : sF2 = f(f(f(c,f(sF2,X0)),X1),f(sF2,sF2))
| ~ spl6_38 ),
inference(superposition,[],[f138,f1774]) ).
fof(f1796,plain,
( ! [X0] : sF2 = f(f(f(c,sF1),X0),f(sF2,sF2))
| ~ spl6_16
| ~ spl6_38 ),
inference(superposition,[],[f1777,f469]) ).
fof(f1832,plain,
( ! [X0] : sF2 = f(f(sF0,X0),f(sF2,sF2))
| ~ spl6_16
| ~ spl6_22
| ~ spl6_38 ),
inference(forward_demodulation,[],[f1796,f712]) ).
fof(f1841,plain,
( sF2 = f(b,f(sF2,sF2))
| ~ spl6_13
| ~ spl6_16
| ~ spl6_22
| ~ spl6_38 ),
inference(superposition,[],[f1832,f454]) ).
fof(f1869,definition,
( spl6_39
<=> a = f(f(a,a),sF5) ),
introduced(definition,[new_symbols(definition,[spl6_39])],[avatar_definition]) ).
fof(f1871,plain,
( a = f(f(a,a),sF5)
| ~ spl6_39 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1872,plain,
( spl6_39
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f1484,f1473,f1869]) ).
fof(f1874,plain,
( ! [X0,X1] : sF5 = f(f(f(a,f(sF5,X0)),X1),f(sF5,sF5))
| ~ spl6_39 ),
inference(superposition,[],[f138,f1871]) ).
fof(f1893,plain,
( ! [X0] : sF5 = f(f(f(a,sF4),X0),f(sF5,sF5))
| ~ spl6_17
| ~ spl6_39 ),
inference(superposition,[],[f1874,f499]) ).
fof(f1929,plain,
( ! [X0] : sF5 = f(f(sF3,X0),f(sF5,sF5))
| ~ spl6_17
| ~ spl6_23
| ~ spl6_39 ),
inference(forward_demodulation,[],[f1893,f726]) ).
fof(f1939,plain,
( sF5 = f(b,f(sF5,sF5))
| ~ spl6_12
| ~ spl6_17
| ~ spl6_23
| ~ spl6_39 ),
inference(superposition,[],[f1929,f449]) ).
fof(f2234,definition,
( spl6_40
<=> sF2 = f(b,f(sF2,sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_40])],[avatar_definition]) ).
fof(f2236,plain,
( sF2 = f(b,f(sF2,sF2))
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2237,plain,
( spl6_40
| ~ spl6_13
| ~ spl6_16
| ~ spl6_22
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f1841,f1772,f710,f467,f452,f2234]) ).
fof(f2244,plain,
( b = f(f(b,b),sF2)
| ~ spl6_40 ),
inference(superposition,[],[f300,f2236]) ).
fof(f2270,definition,
( spl6_42
<=> b = f(f(b,b),sF2) ),
introduced(definition,[new_symbols(definition,[spl6_42])],[avatar_definition]) ).
fof(f2272,plain,
( b = f(f(b,b),sF2)
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2273,plain,
( spl6_42
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f2244,f2234,f2270]) ).
fof(f2275,plain,
( ! [X0,X1] : sF2 = f(f(f(b,f(sF2,X0)),X1),f(sF2,sF2))
| ~ spl6_42 ),
inference(superposition,[],[f138,f2272]) ).
fof(f2292,plain,
( ! [X0] : sF2 = f(f(f(b,a),X0),f(sF2,sF2))
| ~ spl6_14
| ~ spl6_42 ),
inference(superposition,[],[f2275,f459]) ).
fof(f2333,plain,
( ! [X0] : sF2 = f(f(sF3,X0),f(sF2,sF2))
| ~ spl6_3
| ~ spl6_14
| ~ spl6_42 ),
inference(forward_demodulation,[],[f2292,f44]) ).
fof(f2351,plain,
( f(sF3,sF3) = f(sF2,sF3)
| ~ spl6_3
| ~ spl6_14
| ~ spl6_42 ),
inference(superposition,[],[f161,f2333]) ).
fof(f2367,plain,
( sF4 = f(sF2,sF3)
| ~ spl6_3
| ~ spl6_6
| ~ spl6_14
| ~ spl6_42 ),
inference(forward_demodulation,[],[f2351,f63]) ).
fof(f2448,definition,
( spl6_44
<=> sF4 = f(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_44])],[avatar_definition]) ).
fof(f2450,plain,
( sF4 = f(sF2,sF3)
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f2448]) ).
fof(f2451,plain,
( spl6_44
| ~ spl6_3
| ~ spl6_6
| ~ spl6_14
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f2367,f2270,f457,f61,f42,f2448]) ).
fof(f2454,plain,
( ! [X0] : sF2 = f(f(f(c,sF4),X0),f(sF2,sF2))
| ~ spl6_38
| ~ spl6_44 ),
inference(superposition,[],[f1777,f2450]) ).
fof(f2474,plain,
( ! [X0] : sF2 = f(f(sF5,X0),f(sF2,sF2))
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44 ),
inference(forward_demodulation,[],[f2454,f37]) ).
fof(f2490,plain,
( f(sF5,sF5) = f(sF2,sF5)
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44 ),
inference(superposition,[],[f161,f2474]) ).
fof(f2491,plain,
( f(sF5,sF5) = f(sF5,sF2)
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44 ),
inference(superposition,[],[f277,f2474]) ).
fof(f2515,plain,
( ! [X0,X1] : sF5 = f(f(f(a,f(sF5,X0)),X1),f(sF5,sF2))
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44 ),
inference(backward_demodulation,[],[f1874,f2491]) ).
fof(f2523,plain,
( sF5 = f(b,f(sF5,sF2))
| ~ spl6_2
| ~ spl6_12
| ~ spl6_17
| ~ spl6_23
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44 ),
inference(backward_demodulation,[],[f1939,f2491]) ).
fof(f2530,plain,
( f(sF5,sF2) = f(sF2,sF5)
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44 ),
inference(forward_demodulation,[],[f2490,f2491]) ).
fof(f2532,plain,
( f(sF5,sF5) = f(sF2,sF5)
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44 ),
inference(backward_demodulation,[],[f2491,f2530]) ).
fof(f2543,plain,
( ! [X0,X1] : sF5 = f(f(f(a,f(sF5,X0)),X1),f(sF2,sF5))
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44 ),
inference(backward_demodulation,[],[f2515,f2530]) ).
fof(f2551,plain,
( sF5 = f(b,f(sF2,sF5))
| ~ spl6_2
| ~ spl6_12
| ~ spl6_17
| ~ spl6_23
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44 ),
inference(backward_demodulation,[],[f2523,f2530]) ).
fof(f2782,definition,
( spl6_48
<=> sF5 = f(b,f(sF2,sF5)) ),
introduced(definition,[new_symbols(definition,[spl6_48])],[avatar_definition]) ).
fof(f2784,plain,
( sF5 = f(b,f(sF2,sF5))
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f2782]) ).
fof(f2785,plain,
( spl6_48
| ~ spl6_2
| ~ spl6_12
| ~ spl6_17
| ~ spl6_23
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f2551,f2448,f1869,f1772,f724,f497,f447,f35,f2782]) ).
fof(f2793,plain,
( b = f(f(b,b),sF5)
| ~ spl6_48 ),
inference(superposition,[],[f300,f2784]) ).
fof(f2826,definition,
( spl6_50
<=> b = f(f(b,b),sF5) ),
introduced(definition,[new_symbols(definition,[spl6_50])],[avatar_definition]) ).
fof(f2828,plain,
( b = f(f(b,b),sF5)
| ~ spl6_50 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2829,plain,
( spl6_50
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f2793,f2782,f2826]) ).
fof(f2831,plain,
( ! [X0,X1] : sF5 = f(f(f(b,f(sF5,X0)),X1),f(sF5,sF5))
| ~ spl6_50 ),
inference(superposition,[],[f138,f2828]) ).
fof(f2845,plain,
( ! [X0,X1] : sF5 = f(f(f(b,f(sF5,X0)),X1),f(sF2,sF5))
| ~ spl6_2
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(forward_demodulation,[],[f2831,f2532]) ).
fof(f2853,plain,
( ! [X0] : sF5 = f(f(f(b,c),X0),f(sF2,sF5))
| ~ spl6_2
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(superposition,[],[f2845,f464]) ).
fof(f2890,plain,
( ! [X0] : sF5 = f(f(sF0,X0),f(sF2,sF5))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(forward_demodulation,[],[f2853,f51]) ).
fof(f2909,plain,
( f(sF0,sF0) = f(sF5,sF0)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(superposition,[],[f161,f2890]) ).
fof(f2927,plain,
( sF1 = f(sF5,sF0)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(forward_demodulation,[],[f2909,f58]) ).
fof(f2961,definition,
( spl6_52
<=> sF1 = f(sF5,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_52])],[avatar_definition]) ).
fof(f2963,plain,
( sF1 = f(sF5,sF0)
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2964,plain,
( spl6_52
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50 ),
inference(avatar_split_clause,[],[f2927,f2826,f2448,f1772,f462,f56,f49,f35,f2961]) ).
fof(f2968,plain,
( ! [X0] : sF5 = f(f(f(a,sF1),X0),f(sF2,sF5))
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(superposition,[],[f2543,f2963]) ).
fof(f2990,plain,
( ! [X0] : sF5 = f(f(sF2,X0),f(sF2,sF5))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(forward_demodulation,[],[f2968,f32]) ).
fof(f3066,plain,
( f(sF2,sF2) = f(sF2,sF5)
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(superposition,[],[f277,f2990]) ).
fof(f3081,plain,
( ! [X0] : sF5 = f(f(sF2,X0),f(sF5,sF5))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(superposition,[],[f143,f2990]) ).
fof(f3091,plain,
( ! [X0] : sF5 = f(f(sF2,X0),f(sF2,sF5))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(forward_demodulation,[],[f3081,f2532]) ).
fof(f3172,plain,
( ! [X0] : sF5 = f(f(sF2,X0),f(sF2,sF2))
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(forward_demodulation,[],[f3091,f3066]) ).
fof(f3217,plain,
( sF2 = sF5
| ~ spl6_1
| ~ spl6_2
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(forward_demodulation,[],[f3172,f142]) ).
fof(f3290,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| spl6_7
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(forward_subsumption_resolution,[],[f3217,f68]) ).
fof(f3291,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_7
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(avatar_contradiction_clause,[],[f3290]) ).
cnf(s1,plain,
spl6_1,
inference(sat_conversion,[],[f33]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
spl6_3,
inference(sat_conversion,[],[f45]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f52]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f64]) ).
cnf(s7,plain,
~ spl6_7,
inference(sat_conversion,[],[f69]) ).
cnf(s12,plain,
( ~ spl6_3
| spl6_12 ),
inference(sat_conversion,[],[f450]) ).
cnf(s13,plain,
( ~ spl6_4
| spl6_13 ),
inference(sat_conversion,[],[f455]) ).
cnf(s14,plain,
( ~ spl6_1
| spl6_14 ),
inference(sat_conversion,[],[f460]) ).
cnf(s15,plain,
( ~ spl6_2
| spl6_15 ),
inference(sat_conversion,[],[f465]) ).
cnf(s16,plain,
( ~ spl6_1
| ~ spl6_5
| spl6_16 ),
inference(sat_conversion,[],[f470]) ).
cnf(s17,plain,
( ~ spl6_2
| ~ spl6_6
| spl6_17 ),
inference(sat_conversion,[],[f500]) ).
cnf(s18,plain,
( ~ spl6_3
| spl6_18 ),
inference(sat_conversion,[],[f505]) ).
cnf(s19,plain,
( ~ spl6_4
| spl6_19 ),
inference(sat_conversion,[],[f527]) ).
cnf(s21,plain,
( ~ spl6_16
| spl6_21 ),
inference(sat_conversion,[],[f702]) ).
cnf(s22,plain,
( ~ spl6_5
| ~ spl6_19
| spl6_22 ),
inference(sat_conversion,[],[f713]) ).
cnf(s23,plain,
( ~ spl6_6
| ~ spl6_18
| spl6_23 ),
inference(sat_conversion,[],[f727]) ).
cnf(s25,plain,
( ~ spl6_17
| spl6_25 ),
inference(sat_conversion,[],[f761]) ).
cnf(s32,plain,
( ~ spl6_3
| ~ spl6_6
| ~ spl6_23
| ~ spl6_25
| spl6_32 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s35,plain,
( ~ spl6_4
| ~ spl6_5
| ~ spl6_21
| ~ spl6_22
| spl6_35 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s38,plain,
( ~ spl6_35
| spl6_38 ),
inference(sat_conversion,[],[f1775]) ).
cnf(s39,plain,
( ~ spl6_32
| spl6_39 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s40,plain,
( ~ spl6_13
| ~ spl6_16
| ~ spl6_22
| ~ spl6_38
| spl6_40 ),
inference(sat_conversion,[],[f2237]) ).
cnf(s42,plain,
( ~ spl6_40
| spl6_42 ),
inference(sat_conversion,[],[f2273]) ).
cnf(s44,plain,
( ~ spl6_3
| ~ spl6_6
| ~ spl6_14
| ~ spl6_42
| spl6_44 ),
inference(sat_conversion,[],[f2451]) ).
cnf(s48,plain,
( ~ spl6_2
| ~ spl6_12
| ~ spl6_17
| ~ spl6_23
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| spl6_48 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s50,plain,
( ~ spl6_48
| spl6_50 ),
inference(sat_conversion,[],[f2829]) ).
cnf(s52,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_15
| ~ spl6_38
| ~ spl6_44
| ~ spl6_50
| spl6_52 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s95,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_7
| ~ spl6_38
| ~ spl6_39
| ~ spl6_44
| ~ spl6_52 ),
inference(sat_conversion,[],[f3291]) ).
cnf(s99,plain,
spl6_19,
inference(rat,[],[s19,s4]) ).
cnf(s100,plain,
spl6_13,
inference(rat,[],[s13,s4]) ).
cnf(s103,plain,
spl6_22,
inference(rat,[],[s22,s5,s99]) ).
cnf(s106,plain,
spl6_18,
inference(rat,[],[s18,s3]) ).
cnf(s107,plain,
spl6_12,
inference(rat,[],[s12,s3]) ).
cnf(s110,plain,
spl6_23,
inference(rat,[],[s23,s6,s106]) ).
cnf(s113,plain,
spl6_17,
inference(rat,[],[s17,s6,s2]) ).
cnf(s114,plain,
spl6_15,
inference(rat,[],[s15,s2]) ).
cnf(s116,plain,
spl6_25,
inference(rat,[],[s25,s113]) ).
cnf(s117,plain,
spl6_32,
inference(rat,[],[s32,s110,s3,s6,s116]) ).
cnf(s118,plain,
spl6_39,
inference(rat,[],[s39,s117]) ).
cnf(s121,plain,
spl6_16,
inference(rat,[],[s16,s5,s1]) ).
cnf(s122,plain,
spl6_14,
inference(rat,[],[s14,s1]) ).
cnf(s124,plain,
spl6_21,
inference(rat,[],[s21,s121]) ).
cnf(s125,plain,
spl6_35,
inference(rat,[],[s35,s103,s4,s5,s124]) ).
cnf(s126,plain,
spl6_38,
inference(rat,[],[s38,s125]) ).
cnf(s128,plain,
spl6_40,
inference(rat,[],[s40,s121,s100,s103,s126]) ).
cnf(s129,plain,
spl6_42,
inference(rat,[],[s42,s128]) ).
cnf(s131,plain,
spl6_44,
inference(rat,[],[s44,s122,s3,s6,s129]) ).
cnf(s135,plain,
spl6_48,
inference(rat,[],[s48,s126,s118,s113,s2,s110,s107,s131]) ).
cnf(s137,plain,
~ spl6_52,
inference(rat,[],[s95,s126,s1,s118,s2,s7,s131]) ).
cnf(s138,plain,
spl6_50,
inference(rat,[],[s50,s135]) ).
cnf(s140,plain,
$false,
inference(rat,[],[s52,s131,s126,s114,s2,s4,s5,s137,s138]) ).
fof(f3292,plain,
$false,
inference(avatar_sat_refutation,[],[s140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT072-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 13:58:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 5.12/1.34 % (2402118)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.12/1.34 % (2402123)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1527569892:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.12/1.34 % (2402127)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1478002621:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.12/1.34 % (2402126)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=212091481:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.12/1.34 % (2402124)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=175934107:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.12/1.34 % (2402128)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=71731979:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.12/1.34 % (2402125)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3614254121:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.12/1.34 % (2402129)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2843842360:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.12/1.34 % (2402126)Instruction limit reached!
% 5.12/1.34 % (2402126)------------------------------
% 5.12/1.34 % (2402126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402126)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402126)Termination reason: Instruction limit
% 5.12/1.34 % (2402126)Termination phase: Saturation
% 5.12/1.34 % (2402126)Time elapsed: 0.043 s
% 5.12/1.34 % (2402126)Peak memory usage: 88 MB
% 5.12/1.34 % (2402126)Instructions burned: 138 (million)
% 5.12/1.34 % (2402127)Instruction limit reached!
% 5.12/1.34 % (2402127)------------------------------
% 5.12/1.34 % (2402127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402127)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402127)Termination reason: Instruction limit
% 5.12/1.34 % (2402127)Termination phase: Saturation
% 5.12/1.34 % (2402127)Time elapsed: 0.053 s
% 5.12/1.34 % (2402127)Peak memory usage: 89 MB
% 5.12/1.34 % (2402127)Instructions burned: 183 (million)
% 5.12/1.34 % (2402128)Instruction limit reached!
% 5.12/1.34 % (2402128)------------------------------
% 5.12/1.34 % (2402128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402128)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402128)Termination reason: Instruction limit
% 5.12/1.34 % (2402128)Termination phase: Saturation
% 5.12/1.34 % (2402128)Time elapsed: 0.089 s
% 5.12/1.34 % (2402128)Peak memory usage: 89 MB
% 5.12/1.34 % (2402128)Instructions burned: 259 (million)
% 5.12/1.34 % (2402137)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3282593042:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 5.12/1.34 % (2402138)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2816887631:i=4948:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/4948Mi)
% 5.12/1.34 % (2402139)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=829343428:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 5.12/1.34 % (2402139)Instruction limit reached!
% 5.12/1.34 % (2402139)------------------------------
% 5.12/1.34 % (2402139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402139)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402139)Termination reason: Instruction limit
% 5.12/1.34 % (2402139)Termination phase: Saturation
% 5.12/1.34 % (2402139)Time elapsed: 0.055 s
% 5.12/1.34 % (2402139)Peak memory usage: 99 MB
% 5.12/1.34 % (2402139)Instructions burned: 221 (million)
% 5.12/1.34 % (2402129)Instruction limit reached!
% 5.12/1.34 % (2402129)------------------------------
% 5.12/1.34 % (2402129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402129)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402129)Termination reason: Instruction limit
% 5.12/1.34 % (2402129)Termination phase: Saturation
% 5.12/1.34 % (2402129)Time elapsed: 0.363 s
% 5.12/1.34 % (2402129)Peak memory usage: 97 MB
% 5.12/1.34 % (2402129)Instructions burned: 1190 (million)
% 5.12/1.34 % (2402143)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1869351731:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 5.12/1.34 % (2402144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2101030321:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/12125Mi)
% 5.12/1.34 % (2402123)First to succeed.
% 5.12/1.34 % (2402123)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2402118"
% 5.12/1.34 % (2402143)Instruction limit reached!
% 5.12/1.34 % (2402143)------------------------------
% 5.12/1.34 % (2402143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.34 % (2402143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.34 % (2402143)CaDiCaL version: 2.1.3
% 5.12/1.34 % (2402143)Termination reason: Instruction limit
% 5.12/1.34 % (2402143)Termination phase: Saturation
% 5.12/1.34 % (2402143)Time elapsed: 0.100 s
% 5.12/1.34 % (2402143)Peak memory usage: 93 MB
% 5.12/1.34 % (2402143)Instructions burned: 320 (million)
% 5.12/1.34 % (2402125)Also succeeded, but the first one will report.
% 5.12/1.34 % (2402147)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1352465116:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 5.12/1.34 % (2402123)Refutation found. Thanks to Tanya!
% 5.12/1.34 % SZS status Unsatisfiable for theBenchmark
% 5.12/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 5.88/1.43 % (2402123)------------------------------
% 5.88/1.43 % (2402123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.43 % (2402123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.43 % (2402123)CaDiCaL version: 2.1.3
% 5.88/1.43 % (2402123)Termination reason: Refutation
% 5.88/1.43 % (2402123)Time elapsed: 0.511 s
% 5.88/1.43 % (2402123)Peak memory usage: 131 MB
% 5.88/1.43 % (2402123)Instructions burned: 1386 (million)
% 5.88/1.43 % (2402123)------------------------------
% 5.88/1.43 % (2402123)------------------------------
% 5.88/1.43 % (2402118)Success in time 0.807 s
% 5.88/1.43 % Vampire exiting
%------------------------------------------------------------------------------