%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT148-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:46:04 AM UTC 2026
% Result : Unsatisfiable 5.55s 2.03s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 54
% Syntax : Number of formulae : 276 ( 92 unt; 43 def)
% Number of atoms : 622 ( 184 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 666 ( 320 ~; 314 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 33 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,X3))) = meet(X0,join(X1,meet(X2,join(X1,meet(X3,join(X1,X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H34) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H7) ).
fof(f11,definition,
~ sP0(meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(a,c)))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,definition,
sF1 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(a,b) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(a,b) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(c,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(c,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(sF1,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(a,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(a,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(b,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(a,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
~ sP0(sF7),
inference(definition_folding,[],[f11,f26,f24,f22,f20,f18,f16,f14]) ).
fof(f28,definition,
sF8 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
meet(a,c) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = join(b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
join(b,sF8) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF10 = meet(a,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f33,plain,
meet(a,sF9) = sF10,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sP0(sF10),
inference(definition_folding,[],[f12,f33,f31,f29]) ).
fof(f36,definition,
( spl11_1
<=> sP0(sF10) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f39,plain,
spl11_1,
inference(avatar_split_clause,[],[f34,f36]) ).
fof(f41,definition,
( spl11_2
<=> sP0(sF7) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f44,plain,
~ spl11_2,
inference(avatar_split_clause,[],[f27,f41]) ).
fof(f45,plain,
sF1 = meet(b,a),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f46,plain,
sF2 = join(b,a),
inference(forward_demodulation,[],[f16,f6]) ).
fof(f48,definition,
( spl11_3
<=> meet(c,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f50,plain,
( meet(c,sF2) = sF3
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
spl11_3,
inference(avatar_split_clause,[],[f18,f48]) ).
fof(f53,definition,
( spl11_4
<=> join(sF1,sF3) = sF4 ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f55,plain,
( join(sF1,sF3) = sF4
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
spl11_4,
inference(avatar_split_clause,[],[f20,f53]) ).
fof(f57,plain,
sF5 = meet(sF4,a),
inference(forward_demodulation,[],[f22,f5]) ).
fof(f58,plain,
sF6 = join(sF5,b),
inference(forward_demodulation,[],[f24,f6]) ).
fof(f59,plain,
sF7 = meet(sF6,a),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f60,plain,
sF8 = meet(c,a),
inference(forward_demodulation,[],[f29,f5]) ).
fof(f61,plain,
sF9 = join(sF8,b),
inference(forward_demodulation,[],[f31,f6]) ).
fof(f62,plain,
sF10 = meet(sF9,a),
inference(forward_demodulation,[],[f33,f5]) ).
fof(f64,definition,
( spl11_5
<=> sF1 = meet(b,a) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f66,plain,
( sF1 = meet(b,a)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
spl11_5,
inference(avatar_split_clause,[],[f45,f64]) ).
fof(f69,definition,
( spl11_6
<=> sF2 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f71,plain,
( sF2 = join(b,a)
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
spl11_6,
inference(avatar_split_clause,[],[f46,f69]) ).
fof(f74,definition,
( spl11_7
<=> sF5 = meet(sF4,a) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f76,plain,
( sF5 = meet(sF4,a)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
spl11_7,
inference(avatar_split_clause,[],[f57,f74]) ).
fof(f79,definition,
( spl11_8
<=> sF6 = join(sF5,b) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f81,plain,
( sF6 = join(sF5,b)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
spl11_8,
inference(avatar_split_clause,[],[f58,f79]) ).
fof(f84,definition,
( spl11_9
<=> sF7 = meet(sF6,a) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f87,plain,
spl11_9,
inference(avatar_split_clause,[],[f59,f84]) ).
fof(f89,definition,
( spl11_10
<=> sF8 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f91,plain,
( sF8 = meet(c,a)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
spl11_10,
inference(avatar_split_clause,[],[f60,f89]) ).
fof(f94,definition,
( spl11_11
<=> sF9 = join(sF8,b) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f96,plain,
( sF9 = join(sF8,b)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f97,plain,
spl11_11,
inference(avatar_split_clause,[],[f61,f94]) ).
fof(f99,definition,
( spl11_12
<=> sF10 = meet(sF9,a) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f102,plain,
spl11_12,
inference(avatar_split_clause,[],[f62,f99]) ).
fof(f151,definition,
( spl11_19
<=> sF4 = join(sF4,sF5) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
fof(f153,plain,
( sF4 = join(sF4,sF5)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f167,definition,
( spl11_22
<=> b = join(sF1,b) ),
introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).
fof(f169,plain,
( b = join(sF1,b)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f174,definition,
( spl11_23
<=> sF2 = join(sF2,b) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
fof(f176,plain,
( sF2 = join(sF2,b)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f191,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f193,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f195,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f7,f1]) ).
fof(f200,plain,
( ! [X0] : meet(b,meet(a,X0)) = meet(sF1,X0)
| ~ spl11_5 ),
inference(superposition,[],[f7,f66]) ).
fof(f206,plain,
( ! [X0] : meet(sF4,meet(a,X0)) = meet(sF5,X0)
| ~ spl11_7 ),
inference(superposition,[],[f7,f76]) ).
fof(f223,plain,
( ! [X0] : meet(b,a) = meet(sF1,join(a,X0))
| ~ spl11_5 ),
inference(superposition,[],[f200,f3]) ).
fof(f227,plain,
( ! [X0] : b = join(b,meet(sF1,X0))
| ~ spl11_5 ),
inference(superposition,[],[f4,f200]) ).
fof(f229,plain,
( ! [X0] : sF1 = meet(sF1,join(a,X0))
| ~ spl11_5 ),
inference(forward_demodulation,[],[f223,f66]) ).
fof(f280,definition,
( spl11_29
<=> sF2 = join(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition]) ).
fof(f282,plain,
( sF2 = join(sF2,sF3)
| ~ spl11_29 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f295,plain,
( ! [X0] : sF4 = join(sF4,meet(sF5,X0))
| ~ spl11_7 ),
inference(superposition,[],[f4,f206]) ).
fof(f365,plain,
( ! [X0] : sF1 = meet(sF1,join(X0,a))
| ~ spl11_5 ),
inference(superposition,[],[f229,f6]) ).
fof(f376,plain,
( ! [X0] : join(sF2,X0) = join(b,join(a,X0))
| ~ spl11_6 ),
inference(superposition,[],[f8,f71]) ).
fof(f380,plain,
( ! [X0] : join(sF1,join(sF3,X0)) = join(sF4,X0)
| ~ spl11_4 ),
inference(superposition,[],[f8,f55]) ).
fof(f381,plain,
( ! [X0] : join(b,X0) = join(sF1,join(b,X0))
| ~ spl11_22 ),
inference(superposition,[],[f8,f169]) ).
fof(f384,plain,
( ! [X0] : join(sF4,X0) = join(sF4,join(sF5,X0))
| ~ spl11_19 ),
inference(superposition,[],[f8,f153]) ).
fof(f385,plain,
( ! [X0] : join(sF5,join(b,X0)) = join(sF6,X0)
| ~ spl11_8 ),
inference(superposition,[],[f8,f81]) ).
fof(f387,plain,
( ! [X0] : join(sF8,join(b,X0)) = join(sF9,X0)
| ~ spl11_11 ),
inference(superposition,[],[f8,f96]) ).
fof(f406,plain,
( join(b,a) = join(sF2,a)
| ~ spl11_6 ),
inference(superposition,[],[f376,f2]) ).
fof(f408,plain,
( ! [X0] : join(sF2,X0) = join(b,join(X0,a))
| ~ spl11_6 ),
inference(superposition,[],[f376,f6]) ).
fof(f414,plain,
( sF2 = join(sF2,a)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f406,f71]) ).
fof(f417,definition,
( spl11_34
<=> sF2 = join(sF2,a) ),
introduced(definition,[new_symbols(definition,[spl11_34])],[avatar_definition]) ).
fof(f419,plain,
( sF2 = join(sF2,a)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,plain,
( spl11_34
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f414,f69,f417]) ).
fof(f425,plain,
( ! [X0] : join(sF4,X0) = join(sF1,join(X0,sF3))
| ~ spl11_4 ),
inference(superposition,[],[f380,f6]) ).
fof(f453,plain,
( join(sF6,a) = join(sF5,sF2)
| ~ spl11_6
| ~ spl11_8 ),
inference(superposition,[],[f385,f71]) ).
fof(f458,plain,
( ! [X0] : join(sF6,X0) = join(sF5,join(X0,b))
| ~ spl11_8 ),
inference(superposition,[],[f385,f6]) ).
fof(f461,plain,
( ! [X0] : sF5 = meet(sF5,join(sF6,X0))
| ~ spl11_8 ),
inference(superposition,[],[f3,f385]) ).
fof(f467,plain,
( join(sF6,a) = join(sF2,sF5)
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f453,f6]) ).
fof(f475,definition,
( spl11_39
<=> join(sF6,a) = join(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
fof(f477,plain,
( join(sF6,a) = join(sF2,sF5)
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f478,plain,
( spl11_39
| ~ spl11_6
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f467,f79,f69,f475]) ).
fof(f486,plain,
( ! [X0] : join(sF9,X0) = join(sF8,join(X0,b))
| ~ spl11_11 ),
inference(superposition,[],[f387,f6]) ).
fof(f580,plain,
( sF2 = join(sF2,sF3)
| ~ spl11_3 ),
inference(superposition,[],[f191,f50]) ).
fof(f609,plain,
( ! [X0] : join(b,a) = join(sF2,meet(X0,a))
| ~ spl11_6 ),
inference(superposition,[],[f376,f191]) ).
fof(f619,plain,
( ! [X0] : sF2 = join(sF2,meet(X0,a))
| ~ spl11_6 ),
inference(forward_demodulation,[],[f609,f71]) ).
fof(f639,plain,
( spl11_29
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f580,f48,f280]) ).
fof(f836,plain,
( ! [X0,X1] : meet(X0,join(b,meet(a,X1))) = meet(X0,join(b,meet(a,join(b,meet(X1,sF2)))))
| ~ spl11_6 ),
inference(superposition,[],[f9,f71]) ).
fof(f1090,plain,
( sF4 = join(sF4,sF5)
| ~ spl11_7
| ~ spl11_8 ),
inference(superposition,[],[f295,f461]) ).
fof(f1100,plain,
( spl11_19
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1090,f79,f74,f151]) ).
fof(f1109,plain,
( ! [X0,X1] : meet(X1,join(b,meet(a,X0))) = meet(X1,join(b,meet(a,join(b,meet(sF2,X0)))))
| ~ spl11_6 ),
inference(superposition,[],[f836,f5]) ).
fof(f1112,plain,
( ! [X0] : meet(X0,join(b,meet(a,c))) = meet(X0,join(b,meet(a,join(b,sF3))))
| ~ spl11_3
| ~ spl11_6 ),
inference(superposition,[],[f836,f50]) ).
fof(f1158,plain,
( ! [X0] : meet(X0,join(b,meet(a,c))) = meet(X0,join(b,meet(a,join(sF3,b))))
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1112,f6]) ).
fof(f1165,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(b,meet(c,a)))
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1158,f5]) ).
fof(f1169,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(b,sF8))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(forward_demodulation,[],[f1165,f91]) ).
fof(f1170,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(sF8,b))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10 ),
inference(forward_demodulation,[],[f1169,f6]) ).
fof(f1171,plain,
( ! [X0] : meet(X0,sF9) = meet(X0,join(b,meet(a,join(sF3,b))))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1170,f96]) ).
fof(f1549,plain,
( sF2 = join(sF2,sF1)
| ~ spl11_5
| ~ spl11_6 ),
inference(superposition,[],[f619,f66]) ).
fof(f1550,plain,
( sF2 = join(sF2,sF8)
| ~ spl11_6
| ~ spl11_10 ),
inference(superposition,[],[f619,f91]) ).
fof(f1552,plain,
( sF2 = join(sF2,sF5)
| ~ spl11_6
| ~ spl11_7 ),
inference(superposition,[],[f619,f76]) ).
fof(f1574,definition,
( spl11_58
<=> sF2 = join(sF2,sF8) ),
introduced(definition,[new_symbols(definition,[spl11_58])],[avatar_definition]) ).
fof(f1576,plain,
( sF2 = join(sF2,sF8)
| ~ spl11_58 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1585,definition,
( spl11_60
<=> sF2 = join(sF2,sF5) ),
introduced(definition,[new_symbols(definition,[spl11_60])],[avatar_definition]) ).
fof(f1587,plain,
( sF2 = join(sF2,sF5)
| ~ spl11_60 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1589,plain,
( spl11_60
| ~ spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f1552,f74,f69,f1585]) ).
fof(f1591,plain,
( spl11_58
| ~ spl11_6
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f1550,f89,f69,f1574]) ).
fof(f1592,plain,
( sF2 = join(sF1,sF2)
| ~ spl11_5
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1549,f6]) ).
fof(f1595,definition,
( spl11_61
<=> sF2 = join(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl11_61])],[avatar_definition]) ).
fof(f1597,plain,
( sF2 = join(sF1,sF2)
| ~ spl11_61 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1599,plain,
( spl11_61
| ~ spl11_5
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1592,f69,f64,f1595]) ).
fof(f1674,definition,
( spl11_63
<=> sF1 = meet(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl11_63])],[avatar_definition]) ).
fof(f1676,plain,
( sF1 = meet(sF1,sF2)
| ~ spl11_63 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1852,plain,
( b = join(b,sF1)
| ~ spl11_5
| ~ spl11_63 ),
inference(superposition,[],[f227,f1676]) ).
fof(f1859,plain,
( b = join(sF1,b)
| ~ spl11_5
| ~ spl11_63 ),
inference(forward_demodulation,[],[f1852,f6]) ).
fof(f1862,plain,
( spl11_22
| ~ spl11_5
| ~ spl11_63 ),
inference(avatar_split_clause,[],[f1859,f1674,f64,f167]) ).
fof(f2305,plain,
( join(sF4,b) = join(sF4,sF6)
| ~ spl11_8
| ~ spl11_19 ),
inference(superposition,[],[f384,f81]) ).
fof(f2318,definition,
( spl11_98
<=> join(sF4,b) = join(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl11_98])],[avatar_definition]) ).
fof(f2320,plain,
( join(sF4,b) = join(sF4,sF6)
| ~ spl11_98 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2321,plain,
( spl11_98
| ~ spl11_8
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f2305,f151,f79,f2318]) ).
fof(f2365,plain,
( join(b,sF2) = join(sF2,sF2)
| ~ spl11_6
| ~ spl11_34 ),
inference(superposition,[],[f408,f419]) ).
fof(f2387,plain,
( sF2 = join(b,sF2)
| ~ spl11_6
| ~ spl11_34 ),
inference(forward_demodulation,[],[f2365,f2]) ).
fof(f2393,plain,
( sF2 = join(sF2,b)
| ~ spl11_6
| ~ spl11_34 ),
inference(forward_demodulation,[],[f2387,f6]) ).
fof(f2395,plain,
( spl11_23
| ~ spl11_6
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f2393,f417,f69,f174]) ).
fof(f2450,plain,
( ! [X0] : join(b,X0) = meet(join(b,X0),join(sF9,X0))
| ~ spl11_11 ),
inference(superposition,[],[f193,f387]) ).
fof(f2530,plain,
( ! [X0] : join(b,X0) = meet(join(sF9,X0),join(b,X0))
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2450,f5]) ).
fof(f2652,plain,
( join(sF1,sF2) = join(sF4,sF2)
| ~ spl11_4
| ~ spl11_29 ),
inference(superposition,[],[f425,f282]) ).
fof(f2654,plain,
( join(b,sF3) = join(sF4,b)
| ~ spl11_4
| ~ spl11_22 ),
inference(superposition,[],[f381,f425]) ).
fof(f2660,plain,
( join(b,sF3) = join(sF4,sF6)
| ~ spl11_4
| ~ spl11_22
| ~ spl11_98 ),
inference(forward_demodulation,[],[f2654,f2320]) ).
fof(f2662,plain,
( join(sF1,sF2) = join(sF2,sF4)
| ~ spl11_4
| ~ spl11_29 ),
inference(forward_demodulation,[],[f2652,f6]) ).
fof(f2666,plain,
( join(sF3,b) = join(sF4,sF6)
| ~ spl11_4
| ~ spl11_22
| ~ spl11_98 ),
inference(forward_demodulation,[],[f2660,f6]) ).
fof(f2668,plain,
( sF2 = join(sF2,sF4)
| ~ spl11_4
| ~ spl11_29
| ~ spl11_61 ),
inference(forward_demodulation,[],[f2662,f1597]) ).
fof(f2672,definition,
( spl11_106
<=> join(sF3,b) = join(sF4,sF6) ),
introduced(definition,[new_symbols(definition,[spl11_106])],[avatar_definition]) ).
fof(f2674,plain,
( join(sF3,b) = join(sF4,sF6)
| ~ spl11_106 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f2675,plain,
( spl11_106
| ~ spl11_4
| ~ spl11_22
| ~ spl11_98 ),
inference(avatar_split_clause,[],[f2666,f2318,f167,f53,f2672]) ).
fof(f2677,definition,
( spl11_107
<=> sF2 = join(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl11_107])],[avatar_definition]) ).
fof(f2679,plain,
( sF2 = join(sF2,sF4)
| ~ spl11_107 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f2680,plain,
( spl11_107
| ~ spl11_4
| ~ spl11_29
| ~ spl11_61 ),
inference(avatar_split_clause,[],[f2668,f1595,f280,f53,f2677]) ).
fof(f2723,plain,
( join(sF5,sF2) = join(sF6,sF2)
| ~ spl11_8
| ~ spl11_23 ),
inference(superposition,[],[f458,f176]) ).
fof(f2746,plain,
( join(sF5,sF2) = join(sF2,sF6)
| ~ spl11_8
| ~ spl11_23 ),
inference(forward_demodulation,[],[f2723,f6]) ).
fof(f2752,plain,
( join(sF2,sF5) = join(sF2,sF6)
| ~ spl11_8
| ~ spl11_23 ),
inference(forward_demodulation,[],[f2746,f6]) ).
fof(f2754,plain,
( sF2 = join(sF2,sF6)
| ~ spl11_8
| ~ spl11_23
| ~ spl11_60 ),
inference(forward_demodulation,[],[f2752,f1587]) ).
fof(f2756,definition,
( spl11_112
<=> sF2 = join(sF2,sF6) ),
introduced(definition,[new_symbols(definition,[spl11_112])],[avatar_definition]) ).
fof(f2758,plain,
( sF2 = join(sF2,sF6)
| ~ spl11_112 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f2759,plain,
( spl11_112
| ~ spl11_8
| ~ spl11_23
| ~ spl11_60 ),
inference(avatar_split_clause,[],[f2754,f1585,f174,f79,f2756]) ).
fof(f2762,plain,
( sF6 = meet(sF6,sF2)
| ~ spl11_112 ),
inference(superposition,[],[f193,f2758]) ).
fof(f2767,plain,
( sF6 = meet(sF2,sF6)
| ~ spl11_112 ),
inference(forward_demodulation,[],[f2762,f5]) ).
fof(f2772,definition,
( spl11_113
<=> sF6 = meet(sF2,sF6) ),
introduced(definition,[new_symbols(definition,[spl11_113])],[avatar_definition]) ).
fof(f2774,plain,
( sF6 = meet(sF2,sF6)
| ~ spl11_113 ),
inference(avatar_component_clause,[],[f2772]) ).
fof(f2775,plain,
( spl11_113
| ~ spl11_112 ),
inference(avatar_split_clause,[],[f2767,f2756,f2772]) ).
fof(f2788,plain,
( join(sF8,sF2) = join(sF9,sF2)
| ~ spl11_11
| ~ spl11_23 ),
inference(superposition,[],[f486,f176]) ).
fof(f2803,plain,
( join(sF8,sF2) = join(sF2,sF9)
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f2788,f6]) ).
fof(f2811,plain,
( join(sF2,sF8) = join(sF2,sF9)
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f2803,f6]) ).
fof(f2814,plain,
( sF2 = join(sF2,sF9)
| ~ spl11_11
| ~ spl11_23
| ~ spl11_58 ),
inference(forward_demodulation,[],[f2811,f1576]) ).
fof(f2817,definition,
( spl11_114
<=> sF2 = join(sF2,sF9) ),
introduced(definition,[new_symbols(definition,[spl11_114])],[avatar_definition]) ).
fof(f2819,plain,
( sF2 = join(sF2,sF9)
| ~ spl11_114 ),
inference(avatar_component_clause,[],[f2817]) ).
fof(f2820,plain,
( spl11_114
| ~ spl11_11
| ~ spl11_23
| ~ spl11_58 ),
inference(avatar_split_clause,[],[f2814,f1574,f174,f94,f2817]) ).
fof(f2823,plain,
( sF9 = meet(sF9,sF2)
| ~ spl11_114 ),
inference(superposition,[],[f193,f2819]) ).
fof(f2828,plain,
( sF9 = meet(sF2,sF9)
| ~ spl11_114 ),
inference(forward_demodulation,[],[f2823,f5]) ).
fof(f2833,definition,
( spl11_115
<=> sF9 = meet(sF2,sF9) ),
introduced(definition,[new_symbols(definition,[spl11_115])],[avatar_definition]) ).
fof(f2835,plain,
( sF9 = meet(sF2,sF9)
| ~ spl11_115 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f2836,plain,
( spl11_115
| ~ spl11_114 ),
inference(avatar_split_clause,[],[f2828,f2817,f2833]) ).
fof(f3229,plain,
( sF4 = meet(sF4,sF2)
| ~ spl11_107 ),
inference(superposition,[],[f193,f2679]) ).
fof(f3234,plain,
( sF4 = meet(sF2,sF4)
| ~ spl11_107 ),
inference(forward_demodulation,[],[f3229,f5]) ).
fof(f3239,definition,
( spl11_123
<=> sF4 = meet(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl11_123])],[avatar_definition]) ).
fof(f3241,plain,
( sF4 = meet(sF2,sF4)
| ~ spl11_123 ),
inference(avatar_component_clause,[],[f3239]) ).
fof(f3242,plain,
( spl11_123
| ~ spl11_107 ),
inference(avatar_split_clause,[],[f3234,f2677,f3239]) ).
fof(f3809,plain,
( join(b,meet(a,join(sF3,b))) = meet(join(sF9,meet(a,join(sF3,b))),sF9)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(superposition,[],[f2530,f1171]) ).
fof(f3863,plain,
( join(b,meet(a,join(sF3,b))) = meet(sF9,join(sF9,meet(a,join(sF3,b))))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f3809,f5]) ).
fof(f3886,plain,
( sF9 = join(b,meet(a,join(sF3,b)))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f3863,f3]) ).
fof(f3911,definition,
( spl11_135
<=> sF9 = join(b,meet(a,join(sF3,b))) ),
introduced(definition,[new_symbols(definition,[spl11_135])],[avatar_definition]) ).
fof(f3913,plain,
( sF9 = join(b,meet(a,join(sF3,b)))
| ~ spl11_135 ),
inference(avatar_component_clause,[],[f3911]) ).
fof(f3914,plain,
( spl11_135
| ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f3886,f94,f89,f69,f48,f3911]) ).
fof(f4118,plain,
( sF1 = meet(sF1,join(sF2,sF5))
| ~ spl11_5
| ~ spl11_39 ),
inference(superposition,[],[f365,f477]) ).
fof(f4137,plain,
( sF1 = meet(sF1,sF2)
| ~ spl11_5
| ~ spl11_39
| ~ spl11_60 ),
inference(forward_demodulation,[],[f4118,f1587]) ).
fof(f4145,plain,
( spl11_63
| ~ spl11_5
| ~ spl11_39
| ~ spl11_60 ),
inference(avatar_split_clause,[],[f4137,f1585,f475,f64,f1674]) ).
fof(f4338,plain,
( ! [X0] : meet(X0,join(b,meet(a,sF4))) = meet(X0,join(b,meet(a,join(b,sF4))))
| ~ spl11_6
| ~ spl11_123 ),
inference(superposition,[],[f1109,f3241]) ).
fof(f4475,plain,
( ! [X0] : meet(X0,join(b,meet(a,sF4))) = meet(X0,join(b,meet(a,join(sF4,b))))
| ~ spl11_6
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4338,f6]) ).
fof(f4506,plain,
( ! [X0] : meet(X0,join(b,meet(a,sF4))) = meet(X0,join(b,meet(a,join(sF4,sF6))))
| ~ spl11_6
| ~ spl11_98
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4475,f2320]) ).
fof(f4531,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(b,meet(a,sF4)))
| ~ spl11_6
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4506,f2674]) ).
fof(f4543,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(b,meet(sF4,a)))
| ~ spl11_6
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4531,f5]) ).
fof(f4549,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(b,sF5))
| ~ spl11_6
| ~ spl11_7
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4543,f76]) ).
fof(f4553,plain,
( ! [X0] : meet(X0,join(b,meet(a,join(sF3,b)))) = meet(X0,join(sF5,b))
| ~ spl11_6
| ~ spl11_7
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4549,f6]) ).
fof(f4557,plain,
( ! [X0] : meet(X0,sF6) = meet(X0,join(b,meet(a,join(sF3,b))))
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123 ),
inference(forward_demodulation,[],[f4553,f81]) ).
fof(f4560,plain,
( ! [X0] : meet(X0,sF6) = meet(X0,sF9)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_123
| ~ spl11_135 ),
inference(forward_demodulation,[],[f4557,f3913]) ).
fof(f4933,plain,
( sF9 = meet(sF2,sF9)
| ~ spl11_115 ),
inference(superposition,[],[f195,f2835]) ).
fof(f5070,plain,
( sF9 = meet(sF2,sF6)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_115
| ~ spl11_123
| ~ spl11_135 ),
inference(forward_demodulation,[],[f4933,f4560]) ).
fof(f5104,plain,
( sF6 = sF9
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_113
| ~ spl11_115
| ~ spl11_123
| ~ spl11_135 ),
inference(forward_demodulation,[],[f5070,f2774]) ).
fof(f5111,definition,
( spl11_140
<=> sF6 = sF9 ),
introduced(definition,[new_symbols(definition,[spl11_140])],[avatar_definition]) ).
fof(f5114,plain,
( spl11_140
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_113
| ~ spl11_115
| ~ spl11_123
| ~ spl11_135 ),
inference(avatar_split_clause,[],[f5104,f3911,f3239,f2833,f2772,f2672,f2318,f79,f74,f69,f5111]) ).
fof(f5117,plain,
( sF6 != sF9
| sF7 != meet(sF6,a)
| sF10 != meet(sF9,a)
| ~ sP0(sF10)
| sP0(sF7) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
cnf(s1,plain,
spl11_1,
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
~ spl11_2,
inference(sat_conversion,[],[f44]) ).
cnf(s3,plain,
spl11_3,
inference(sat_conversion,[],[f51]) ).
cnf(s4,plain,
spl11_4,
inference(sat_conversion,[],[f56]) ).
cnf(s5,plain,
spl11_5,
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
spl11_6,
inference(sat_conversion,[],[f72]) ).
cnf(s7,plain,
spl11_7,
inference(sat_conversion,[],[f77]) ).
cnf(s8,plain,
spl11_8,
inference(sat_conversion,[],[f82]) ).
cnf(s9,plain,
spl11_9,
inference(sat_conversion,[],[f87]) ).
cnf(s10,plain,
spl11_10,
inference(sat_conversion,[],[f92]) ).
cnf(s11,plain,
spl11_11,
inference(sat_conversion,[],[f97]) ).
cnf(s12,plain,
spl11_12,
inference(sat_conversion,[],[f102]) ).
cnf(s45,plain,
( ~ spl11_6
| spl11_34 ),
inference(sat_conversion,[],[f420]) ).
cnf(s50,plain,
( ~ spl11_6
| ~ spl11_8
| spl11_39 ),
inference(sat_conversion,[],[f478]) ).
cnf(s75,plain,
( ~ spl11_3
| spl11_29 ),
inference(sat_conversion,[],[f639]) ).
cnf(s139,plain,
( ~ spl11_7
| ~ spl11_8
| spl11_19 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s189,plain,
( ~ spl11_6
| ~ spl11_7
| spl11_60 ),
inference(sat_conversion,[],[f1589]) ).
cnf(s190,plain,
( ~ spl11_6
| ~ spl11_10
| spl11_58 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s195,plain,
( ~ spl11_5
| ~ spl11_6
| spl11_61 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s221,plain,
( ~ spl11_5
| spl11_22
| ~ spl11_63 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s295,plain,
( ~ spl11_8
| ~ spl11_19
| spl11_98 ),
inference(sat_conversion,[],[f2321]) ).
cnf(s299,plain,
( ~ spl11_6
| spl11_23
| ~ spl11_34 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s336,plain,
( ~ spl11_4
| ~ spl11_22
| ~ spl11_98
| spl11_106 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s338,plain,
( ~ spl11_4
| ~ spl11_29
| ~ spl11_61
| spl11_107 ),
inference(sat_conversion,[],[f2680]) ).
cnf(s347,plain,
( ~ spl11_8
| ~ spl11_23
| ~ spl11_60
| spl11_112 ),
inference(sat_conversion,[],[f2759]) ).
cnf(s348,plain,
( ~ spl11_112
| spl11_113 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s355,plain,
( ~ spl11_11
| ~ spl11_23
| ~ spl11_58
| spl11_114 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s356,plain,
( ~ spl11_114
| spl11_115 ),
inference(sat_conversion,[],[f2836]) ).
cnf(s395,plain,
( ~ spl11_107
| spl11_123 ),
inference(sat_conversion,[],[f3242]) ).
cnf(s472,plain,
( ~ spl11_3
| ~ spl11_6
| ~ spl11_10
| ~ spl11_11
| spl11_135 ),
inference(sat_conversion,[],[f3914]) ).
cnf(s502,plain,
( ~ spl11_5
| ~ spl11_39
| ~ spl11_60
| spl11_63 ),
inference(sat_conversion,[],[f4145]) ).
cnf(s554,plain,
( ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_98
| ~ spl11_106
| ~ spl11_113
| ~ spl11_115
| ~ spl11_123
| ~ spl11_135
| spl11_140 ),
inference(sat_conversion,[],[f5114]) ).
cnf(s555,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_9
| ~ spl11_12
| ~ spl11_140 ),
inference(sat_conversion,[],[f5117]) ).
cnf(s594,plain,
spl11_19,
inference(rat,[],[s139,s8,s7]) ).
cnf(s599,plain,
spl11_98,
inference(rat,[],[s295,s8,s594]) ).
cnf(s601,plain,
spl11_58,
inference(rat,[],[s190,s10,s6]) ).
cnf(s602,plain,
spl11_60,
inference(rat,[],[s189,s7,s6]) ).
cnf(s606,plain,
spl11_39,
inference(rat,[],[s50,s8,s6]) ).
cnf(s607,plain,
spl11_34,
inference(rat,[],[s45,s6]) ).
cnf(s617,plain,
spl11_23,
inference(rat,[],[s299,s6,s607]) ).
cnf(s618,plain,
spl11_114,
inference(rat,[],[s355,s601,s11,s617]) ).
cnf(s619,plain,
spl11_112,
inference(rat,[],[s347,s602,s8,s617]) ).
cnf(s620,plain,
spl11_115,
inference(rat,[],[s356,s618]) ).
cnf(s621,plain,
spl11_113,
inference(rat,[],[s348,s619]) ).
cnf(s623,plain,
spl11_63,
inference(rat,[],[s502,s606,s602,s5]) ).
cnf(s626,plain,
spl11_22,
inference(rat,[],[s221,s623,s5]) ).
cnf(s631,plain,
spl11_61,
inference(rat,[],[s195,s6,s5]) ).
cnf(s645,plain,
spl11_106,
inference(rat,[],[s336,s626,s599,s4]) ).
cnf(s656,plain,
spl11_135,
inference(rat,[],[s472,s6,s11,s10,s3]) ).
cnf(s669,plain,
spl11_29,
inference(rat,[],[s75,s3]) ).
cnf(s675,plain,
spl11_107,
inference(rat,[],[s338,s4,s631,s669]) ).
cnf(s680,plain,
spl11_123,
inference(rat,[],[s395,s675]) ).
cnf(s681,plain,
spl11_140,
inference(rat,[],[s554,s656,s645,s621,s620,s6,s599,s7,s8,s680]) ).
cnf(s684,plain,
~ spl11_1,
inference(rat,[],[s555,s681,s12,s9,s2]) ).
cnf(s685,plain,
$false,
inference(rat,[],[s1,s684]) ).
fof(f5118,plain,
$false,
inference(avatar_sat_refutation,[],[s685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT148-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n001.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 14:09:17 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 5.55/2.03 % (3599067)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.55/2.03 % (3599073)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=1267973794:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.55/2.03 % (3599072)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=2962065427:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.55/2.03 % (3599078)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=592921246:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.55/2.03 % (3599074)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4004130860:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.55/2.03 % (3599075)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3049677204:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.55/2.03 % (3599076)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2733115571:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.55/2.03 % (3599077)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2907617835:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.55/2.03 % (3599076)Refutation not found, incomplete strategy
% 5.55/2.03 % (3599076)------------------------------
% 5.55/2.03 % (3599076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/2.03 % (3599076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/2.03 % (3599076)CaDiCaL version: 2.1.3
% 5.55/2.03 % (3599076)Termination reason: Refutation not found, incomplete strategy
% 5.55/2.03 % (3599076)Time elapsed: 0.001 s
% 5.55/2.03 % (3599076)Peak memory usage: 87 MB
% 5.55/2.03 % (3599076)Instructions burned: 1 (million)
% 5.55/2.03 % (3599075)Instruction limit reached!
% 5.55/2.03 % (3599075)------------------------------
% 5.55/2.03 % (3599075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/2.03 % (3599075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/2.03 % (3599075)CaDiCaL version: 2.1.3
% 5.55/2.03 % (3599075)Termination reason: Instruction limit
% 5.55/2.03 % (3599075)Termination phase: Saturation
% 5.55/2.03 % (3599075)Time elapsed: 0.081 s
% 5.55/2.03 % (3599075)Peak memory usage: 88 MB
% 5.55/2.03 % (3599075)Instructions burned: 136 (million)
% 5.55/2.03 % (3599077)Instruction limit reached!
% 5.55/2.03 % (3599077)------------------------------
% 5.55/2.03 % (3599077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/2.03 % (3599077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/2.03 % (3599077)CaDiCaL version: 2.1.3
% 5.55/2.03 % (3599077)Termination reason: Instruction limit
% 5.55/2.03 % (3599077)Termination phase: Saturation
% 5.55/2.03 % (3599077)Time elapsed: 0.160 s
% 5.55/2.03 % (3599077)Peak memory usage: 90 MB
% 5.55/2.03 % (3599077)Instructions burned: 259 (million)
% 5.55/2.03 % (3599086)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=315166670:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.55/2.03 % (3599076)------------------------------
% 5.55/2.03 % (3599076)------------------------------
% 5.55/2.03 % (3599087)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1503483418:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 5.55/2.03 % (3599089)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4062030815:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 5.55/2.03 % (3599089)Instruction limit reached!
% 5.55/2.03 % (3599089)------------------------------
% 5.55/2.03 % (3599089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/2.03 % (3599089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/2.03 % (3599089)CaDiCaL version: 2.1.3
% 5.55/2.03 % (3599089)Termination reason: Instruction limit
% 5.55/2.03 % (3599089)Termination phase: Saturation
% 5.55/2.03 % (3599089)Time elapsed: 0.105 s
% 5.55/2.03 % (3599089)Peak memory usage: 89 MB
% 5.55/2.03 % (3599089)Instructions burned: 216 (million)
% 5.55/2.03 % (3599078)Instruction limit reached!
% 5.55/2.03 % (3599078)------------------------------
% 5.55/2.03 % (3599078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/2.03 % (3599078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/2.03 % (3599078)CaDiCaL version: 2.1.3
% 5.55/2.03 % (3599078)Termination reason: Instruction limit
% 5.55/2.03 % (3599078)Termination phase: Saturation
% 5.55/2.03 % (3599078)Time elapsed: 0.611 s
% 5.55/2.03 % (3599078)Peak memory usage: 97 MB
% 5.55/2.03 % (3599078)Instructions burned: 1189 (million)
% 5.55/2.03 % (3599092)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=2180350753:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 5.55/2.03 % (3599092)First to succeed.
% 5.55/2.03 % (3599092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3599067"
% 5.55/2.03 % (3599093)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=1956786916:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.55/2.03 % (3599092)Refutation found. Thanks to Tanya!
% 5.55/2.03 % SZS status Unsatisfiable for theBenchmark
% 5.55/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.75/2.22 % (3599092)------------------------------
% 8.75/2.22 % (3599092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.22 % (3599092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.22 % (3599092)CaDiCaL version: 2.1.3
% 8.75/2.22 % (3599092)Termination reason: Refutation
% 8.75/2.22 % (3599092)Time elapsed: 0.109 s
% 8.75/2.22 % (3599092)Peak memory usage: 92 MB
% 8.75/2.22 % (3599092)Instructions burned: 165 (million)
% 8.75/2.22 % (3599092)------------------------------
% 8.75/2.22 % (3599092)------------------------------
% 8.75/2.22 % (3599067)Success in time 1.147 s
% 8.75/2.22 % Vampire exiting
%------------------------------------------------------------------------------