%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT171-1 : 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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:08 AM UTC 2026
% Result : Unsatisfiable 9.88s 2.62s
% Output : Refutation 12.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 119 ( 55 unt; 19 def)
% Number of atoms : 276 ( 85 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 305 ( 148 ~; 145 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(join(X0,X1),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H61_dual) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = join(sF2,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
join(sF2,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF6,
inference(definition_folding,[],[f10,f24,f22,f20,f18,f16,f14,f12,f16,f14,f12]) ).
fof(f26,plain,
sF0 = meet(c,a),
inference(forward_demodulation,[],[f12,f5]) ).
fof(f27,plain,
sF1 = join(sF0,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f28,plain,
sF2 = meet(sF1,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f29,plain,
sF3 = join(b,a),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f30,plain,
sF4 = meet(sF3,c),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f31,plain,
sF5 = join(sF4,sF2),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f32,plain,
sF6 = meet(sF5,a),
inference(forward_demodulation,[],[f24,f5]) ).
fof(f36,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f40,definition,
( spl7_1
<=> sF2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f42,plain,
( sF2 != sF6
| spl7_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f25,f40]) ).
fof(f45,definition,
( spl7_2
<=> sF6 = meet(sF5,a) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f47,plain,
( sF6 = meet(sF5,a)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl7_2,
inference(avatar_split_clause,[],[f32,f45]) ).
fof(f51,definition,
( spl7_3
<=> sF5 = join(sF4,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f53,plain,
( sF5 = join(sF4,sF2)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
spl7_3,
inference(avatar_split_clause,[],[f31,f51]) ).
fof(f56,definition,
( spl7_4
<=> sF2 = meet(sF1,a) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f58,plain,
( sF2 = meet(sF1,a)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
spl7_4,
inference(avatar_split_clause,[],[f28,f56]) ).
fof(f72,definition,
( spl7_5
<=> sF3 = join(b,a) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f74,plain,
( sF3 = join(b,a)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
spl7_5,
inference(avatar_split_clause,[],[f29,f72]) ).
fof(f79,definition,
( spl7_6
<=> sF0 = meet(c,a) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f81,plain,
( sF0 = meet(c,a)
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
spl7_6,
inference(avatar_split_clause,[],[f26,f79]) ).
fof(f83,plain,
( a = join(a,sF0)
| ~ spl7_6 ),
inference(superposition,[],[f36,f81]) ).
fof(f86,plain,
( a = join(sF0,a)
| ~ spl7_6 ),
inference(forward_demodulation,[],[f83,f6]) ).
fof(f101,definition,
( spl7_7
<=> sF1 = join(sF0,b) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f103,plain,
( sF1 = join(sF0,b)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
spl7_7,
inference(avatar_split_clause,[],[f27,f101]) ).
fof(f106,plain,
( sF0 = meet(sF0,sF1)
| ~ spl7_7 ),
inference(superposition,[],[f3,f103]) ).
fof(f109,definition,
( spl7_8
<=> sF4 = meet(sF3,c) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f111,plain,
( sF4 = meet(sF3,c)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
spl7_8,
inference(avatar_split_clause,[],[f30,f109]) ).
fof(f120,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(join(X1,X0),X2))),
inference(superposition,[],[f9,f5]) ).
fof(f159,plain,
( ! [X0] : join(b,join(a,X0)) = join(sF3,X0)
| ~ spl7_5 ),
inference(superposition,[],[f8,f74]) ).
fof(f160,plain,
( ! [X0] : join(sF0,join(b,X0)) = join(sF1,X0)
| ~ spl7_7 ),
inference(superposition,[],[f8,f103]) ).
fof(f185,plain,
( ! [X0] : meet(sF0,X0) = meet(c,meet(a,X0))
| ~ spl7_6 ),
inference(superposition,[],[f7,f81]) ).
fof(f249,plain,
( ! [X0] : join(sF3,X0) = join(b,join(X0,a))
| ~ spl7_5 ),
inference(superposition,[],[f159,f6]) ).
fof(f327,plain,
( join(sF1,a) = join(sF0,sF3)
| ~ spl7_5
| ~ spl7_7 ),
inference(superposition,[],[f160,f74]) ).
fof(f350,plain,
( ! [X0] : meet(sF0,X0) = meet(c,meet(X0,a))
| ~ spl7_6 ),
inference(superposition,[],[f185,f5]) ).
fof(f1046,plain,
( ! [X0] : join(sF2,meet(a,X0)) = meet(a,join(sF2,meet(join(a,sF1),X0)))
| ~ spl7_4 ),
inference(superposition,[],[f120,f58]) ).
fof(f1139,plain,
( ! [X0] : join(sF2,meet(a,X0)) = meet(a,join(sF2,meet(join(sF1,a),X0)))
| ~ spl7_4 ),
inference(forward_demodulation,[],[f1046,f6]) ).
fof(f1173,plain,
( ! [X0] : join(sF2,meet(a,X0)) = meet(a,join(sF2,meet(join(sF0,sF3),X0)))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7 ),
inference(forward_demodulation,[],[f1139,f327]) ).
fof(f2842,definition,
( spl7_14
<=> sF0 = meet(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f2844,plain,
( sF0 = meet(sF0,sF1)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f2842]) ).
fof(f2845,plain,
( spl7_14
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f106,f101,f2842]) ).
fof(f3303,plain,
( meet(sF0,sF1) = meet(c,sF2)
| ~ spl7_4
| ~ spl7_6 ),
inference(superposition,[],[f350,f58]) ).
fof(f3351,plain,
( sF0 = meet(c,sF2)
| ~ spl7_4
| ~ spl7_6
| ~ spl7_14 ),
inference(forward_demodulation,[],[f3303,f2844]) ).
fof(f4418,definition,
( spl7_22
<=> sF0 = meet(c,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
fof(f4420,plain,
( sF0 = meet(c,sF2)
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f4421,plain,
( spl7_22
| ~ spl7_4
| ~ spl7_6
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f3351,f2842,f79,f56,f4418]) ).
fof(f4427,plain,
( sF2 = join(sF2,sF0)
| ~ spl7_22 ),
inference(superposition,[],[f36,f4420]) ).
fof(f4454,plain,
( sF2 = join(sF0,sF2)
| ~ spl7_22 ),
inference(forward_demodulation,[],[f4427,f6]) ).
fof(f4464,definition,
( spl7_23
<=> sF2 = join(sF0,sF2) ),
introduced(definition,[new_symbols(definition,[spl7_23])],[avatar_definition]) ).
fof(f4466,plain,
( sF2 = join(sF0,sF2)
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f4464]) ).
fof(f4467,plain,
( spl7_23
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f4454,f4418,f4464]) ).
fof(f7926,definition,
( spl7_33
<=> a = join(sF0,a) ),
introduced(definition,[new_symbols(definition,[spl7_33])],[avatar_definition]) ).
fof(f7928,plain,
( a = join(sF0,a)
| ~ spl7_33 ),
inference(avatar_component_clause,[],[f7926]) ).
fof(f7929,plain,
( spl7_33
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f86,f79,f7926]) ).
fof(f7930,plain,
( join(b,a) = join(sF3,sF0)
| ~ spl7_5
| ~ spl7_33 ),
inference(superposition,[],[f249,f7928]) ).
fof(f7960,plain,
( join(b,a) = join(sF0,sF3)
| ~ spl7_5
| ~ spl7_33 ),
inference(forward_demodulation,[],[f7930,f6]) ).
fof(f7969,plain,
( sF3 = join(sF0,sF3)
| ~ spl7_5
| ~ spl7_33 ),
inference(forward_demodulation,[],[f7960,f74]) ).
fof(f7974,plain,
( ! [X0] : join(sF2,meet(a,X0)) = meet(a,join(sF2,meet(sF3,X0)))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_33 ),
inference(backward_demodulation,[],[f1173,f7969]) ).
fof(f8172,plain,
( join(sF2,meet(a,c)) = meet(a,join(sF2,sF4))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(superposition,[],[f7974,f111]) ).
fof(f8284,plain,
( join(sF2,meet(a,c)) = meet(a,join(sF4,sF2))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8172,f6]) ).
fof(f8313,plain,
( meet(a,sF5) = join(sF2,meet(a,c))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8284,f53]) ).
fof(f8336,plain,
( meet(a,sF5) = join(sF2,meet(c,a))
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8313,f5]) ).
fof(f8353,plain,
( meet(a,sF5) = join(sF2,sF0)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8336,f81]) ).
fof(f8361,plain,
( meet(a,sF5) = join(sF0,sF2)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8353,f6]) ).
fof(f8365,plain,
( sF2 = meet(a,sF5)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8361,f4466]) ).
fof(f8367,plain,
( sF2 = meet(sF5,a)
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8365,f5]) ).
fof(f8370,plain,
( sF2 = sF6
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(forward_demodulation,[],[f8367,f47]) ).
fof(f8371,plain,
( $false
| spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(forward_subsumption_resolution,[],[f8370,f42]) ).
fof(f8372,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(avatar_contradiction_clause,[],[f8371]) ).
cnf(s1,plain,
~ spl7_1,
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
spl7_2,
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
spl7_3,
inference(sat_conversion,[],[f54]) ).
cnf(s4,plain,
spl7_4,
inference(sat_conversion,[],[f59]) ).
cnf(s5,plain,
spl7_5,
inference(sat_conversion,[],[f75]) ).
cnf(s6,plain,
spl7_6,
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
spl7_7,
inference(sat_conversion,[],[f104]) ).
cnf(s8,plain,
spl7_8,
inference(sat_conversion,[],[f112]) ).
cnf(s14,plain,
( ~ spl7_7
| spl7_14 ),
inference(sat_conversion,[],[f2845]) ).
cnf(s22,plain,
( ~ spl7_4
| ~ spl7_6
| ~ spl7_14
| spl7_22 ),
inference(sat_conversion,[],[f4421]) ).
cnf(s23,plain,
( ~ spl7_22
| spl7_23 ),
inference(sat_conversion,[],[f4467]) ).
cnf(s33,plain,
( ~ spl7_6
| spl7_33 ),
inference(sat_conversion,[],[f7929]) ).
cnf(s35,plain,
( spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| ~ spl7_8
| ~ spl7_23
| ~ spl7_33 ),
inference(sat_conversion,[],[f8372]) ).
cnf(s39,plain,
spl7_14,
inference(rat,[],[s14,s7]) ).
cnf(s40,plain,
spl7_33,
inference(rat,[],[s33,s6]) ).
cnf(s47,plain,
spl7_22,
inference(rat,[],[s22,s6,s39,s4]) ).
cnf(s50,plain,
spl7_23,
inference(rat,[],[s23,s47]) ).
cnf(s54,plain,
spl7_1,
inference(rat,[],[s35,s40,s50,s8,s7,s6,s5,s4,s3,s2]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s1,s54]) ).
fof(f8373,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n026.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Sun Sep 27 14:07:13 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.48 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
% 9.88/2.62 % (2875729)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.88/2.62 % (2875734)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=4246680356:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.88/2.62 % (2875738)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2699844378:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.88/2.62 % (2875738)Refutation not found, incomplete strategy
% 9.88/2.62 % (2875738)------------------------------
% 9.88/2.62 % (2875738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875738)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875738)Termination reason: Refutation not found, incomplete strategy
% 9.88/2.62 % (2875738)Time elapsed: 0.001 s
% 9.88/2.62 % (2875738)Peak memory usage: 87 MB
% 9.88/2.62 % (2875738)Instructions burned: 1 (million)
% 9.88/2.62 % (2875736)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2272981275:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.88/2.62 % (2875737)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=88539293:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.88/2.62 % (2875735)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=3064840928:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.88/2.62 % (2875739)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=896755595:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.88/2.62 % (2875740)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2660493973:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.88/2.62 % (2875737)Instruction limit reached!
% 9.88/2.62 % (2875737)------------------------------
% 9.88/2.62 % (2875737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875737)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875737)Termination reason: Instruction limit
% 9.88/2.62 % (2875737)Termination phase: Saturation
% 9.88/2.62 % (2875737)Time elapsed: 0.136 s
% 9.88/2.62 % (2875737)Peak memory usage: 88 MB
% 9.88/2.62 % (2875737)Instructions burned: 137 (million)
% 9.88/2.62 % (2875739)Instruction limit reached!
% 9.88/2.62 % (2875739)------------------------------
% 9.88/2.62 % (2875739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875739)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875739)Termination reason: Instruction limit
% 9.88/2.62 % (2875739)Termination phase: Saturation
% 9.88/2.62 % (2875739)Time elapsed: 0.261 s
% 9.88/2.62 % (2875739)Peak memory usage: 90 MB
% 9.88/2.62 % (2875739)Instructions burned: 258 (million)
% 9.88/2.62 % (2875738)------------------------------
% 9.88/2.62 % (2875738)------------------------------
% 9.88/2.62 % (2875749)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1262905757:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 9.88/2.62 % (2875752)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1615287519:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 9.88/2.62 % (2875751)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=904166581:i=4948:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/4948Mi)
% 9.88/2.62 % (2875752)Instruction limit reached!
% 9.88/2.62 % (2875752)------------------------------
% 9.88/2.62 % (2875752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875752)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875752)Termination reason: Instruction limit
% 9.88/2.62 % (2875752)Termination phase: Saturation
% 9.88/2.62 % (2875752)Time elapsed: 0.155 s
% 9.88/2.62 % (2875752)Peak memory usage: 89 MB
% 9.88/2.62 % (2875752)Instructions burned: 215 (million)
% 9.88/2.62 % (2875756)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=833854331:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 9.88/2.62 % (2875740)Instruction limit reached!
% 9.88/2.62 % (2875740)------------------------------
% 9.88/2.62 % (2875740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875740)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875740)Termination reason: Instruction limit
% 9.88/2.62 % (2875740)Termination phase: Saturation
% 9.88/2.62 % (2875740)Time elapsed: 1.045 s
% 9.88/2.62 % (2875740)Peak memory usage: 96 MB
% 9.88/2.62 % (2875740)Instructions burned: 1187 (million)
% 9.88/2.62 % (2875734)First to succeed.
% 9.88/2.62 % (2875734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2875729"
% 9.88/2.62 % (2875756)Instruction limit reached!
% 9.88/2.62 % (2875756)------------------------------
% 9.88/2.62 % (2875756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.62 % (2875756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.62 % (2875756)CaDiCaL version: 2.1.3
% 9.88/2.62 % (2875756)Termination reason: Instruction limit
% 9.88/2.62 % (2875756)Termination phase: Saturation
% 9.88/2.62 % (2875756)Time elapsed: 0.326 s
% 9.88/2.62 % (2875756)Peak memory usage: 93 MB
% 9.88/2.62 % (2875756)Instructions burned: 317 (million)
% 9.88/2.62 % (2875734)Refutation found. Thanks to Tanya!
% 9.88/2.62 % SZS status Unsatisfiable for theBenchmark
% 9.88/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 12.11/2.85 % (2875734)------------------------------
% 12.11/2.85 % (2875734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.11/2.85 % (2875734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.11/2.85 % (2875734)CaDiCaL version: 2.1.3
% 12.11/2.85 % (2875734)Termination reason: Refutation
% 12.11/2.85 % (2875734)Time elapsed: 1.184 s
% 12.11/2.85 % (2875734)Peak memory usage: 141 MB
% 12.11/2.85 % (2875734)Instructions burned: 2058 (million)
% 12.11/2.85 % (2875734)------------------------------
% 12.11/2.85 % (2875734)------------------------------
% 12.11/2.85 % (2875729)Success in time 1.6 s
% 12.11/2.85 % Vampire exiting
%------------------------------------------------------------------------------