%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC383-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:44 PM UTC 2026
% Result : Unsatisfiable 4.56s 1.61s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of formulae : 115 ( 25 unt; 10 def)
% Number of atoms : 318 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 394 ( 191 ~; 194 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f217,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
( ~ singletonP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f217,f205,f204,f205]) ).
fof(f228,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f229,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f236,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f246,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f247,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f246]) ).
fof(f248,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f210,f247]) ).
fof(f254,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f257,definition,
( spl1_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f259,plain,
( ~ segmentP(sk4,sk3)
| spl1_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl1_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f263,plain,
( ~ singletonP(sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f221,f261,f257]) ).
fof(f274,definition,
( spl1_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f276,plain,
( memberP(sk4,sk5)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f279,definition,
( spl1_6
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f281,plain,
( sk3 = sF0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f284,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f286,plain,
( nil = sk4
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,plain,
( spl1_7
| spl1_5 ),
inference(avatar_split_clause,[],[f211,f274,f284]) ).
fof(f289,plain,
( spl1_7
| spl1_6 ),
inference(avatar_split_clause,[],[f248,f279,f284]) ).
fof(f291,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f293,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f295,plain,
( spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f291,f284]) ).
fof(f301,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f302,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f337,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f301]) ).
fof(f338,plain,
( ~ ssList(sF0)
| ~ ssItem(sk5)
| singletonP(sF0) ),
inference(superposition,[],[f229,f247]) ).
fof(f349,plain,
( neq(nil,nil)
| ~ spl1_7 ),
inference(superposition,[],[f220,f286]) ).
fof(f352,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f355,plain,
( ~ ssList(nil)
| ~ spl1_7 ),
inference(resolution,[],[f254,f349]) ).
fof(f356,plain,
( $false
| ~ spl1_7
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f355,f302]) ).
fof(f357,plain,
( ~ spl1_7
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f375,plain,
( ~ ssList(sF0)
| singletonP(sF0)
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f338,f293]) ).
fof(f384,plain,
( ~ ssList(sk3)
| singletonP(sF0)
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f375,f281]) ).
fof(f386,plain,
( singletonP(sF0)
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f384,f202]) ).
fof(f387,plain,
( singletonP(sk3)
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f386,f281]) ).
fof(f388,plain,
( $false
| spl1_2
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f387,f263]) ).
fof(f389,plain,
( spl1_2
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f397,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f203,f73]) ).
fof(f399,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f236,f352]) ).
fof(f400,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f399,f85]) ).
fof(f401,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f400,f302]) ).
fof(f402,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f401,f202]) ).
fof(f437,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5 ),
inference(resolution,[],[f182,f276]) ).
fof(f438,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f437,f293]) ).
fof(f439,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f438,f203]) ).
fof(f441,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(superposition,[],[f186,f439]) ).
fof(f444,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_5
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f441,f53]) ).
fof(f446,definition,
( spl1_20
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).
fof(f448,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_20 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f454,definition,
( spl1_22
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f455,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f456,plain,
( ~ spl1_20
| spl1_22
| ~ spl1_5
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f444,f291,f274,f454,f446]) ).
fof(f457,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_20 ),
inference(resolution,[],[f448,f86]) ).
fof(f458,plain,
( ~ ssItem(sk5)
| spl1_20 ),
inference(forward_subsumption_resolution,[],[f457,f52]) ).
fof(f459,plain,
( $false
| ~ spl1_8
| spl1_20 ),
inference(forward_subsumption_resolution,[],[f458,f293]) ).
fof(f460,plain,
( ~ spl1_8
| spl1_20 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f468,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_8 ),
inference(resolution,[],[f126,f293]) ).
fof(f469,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_demodulation,[],[f468,f247]) ).
fof(f470,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f469,f281]) ).
fof(f472,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_6
| ~ spl1_8 ),
inference(resolution,[],[f470,f52]) ).
fof(f481,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_22 ),
inference(superposition,[],[f455,f472]) ).
fof(f536,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(resolution,[],[f481,f402]) ).
fof(f542,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f536,f202]) ).
fof(f544,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f542,f52]) ).
fof(f545,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(superposition,[],[f544,f397]) ).
fof(f546,plain,
( ~ ssList(nil)
| spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f545,f259]) ).
fof(f547,plain,
( $false
| spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(forward_subsumption_resolution,[],[f546,f302]) ).
fof(f548,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(avatar_contradiction_clause,[],[f547]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f264]) ).
cnf(s6,plain,
( spl1_5
| spl1_7 ),
inference(sat_conversion,[],[f288]) ).
cnf(s7,plain,
( spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f289]) ).
cnf(s9,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f295]) ).
cnf(s19,plain,
spl1_10,
inference(sat_conversion,[],[f337]) ).
cnf(s21,plain,
( ~ spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f357]) ).
cnf(s25,plain,
( spl1_2
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f389]) ).
cnf(s27,plain,
( ~ spl1_5
| ~ spl1_8
| ~ spl1_20
| spl1_22 ),
inference(sat_conversion,[],[f456]) ).
cnf(s28,plain,
( ~ spl1_8
| spl1_20 ),
inference(sat_conversion,[],[f460]) ).
cnf(s29,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10
| ~ spl1_22 ),
inference(sat_conversion,[],[f548]) ).
cnf(s30,plain,
~ spl1_7,
inference(rat,[],[s21,s19]) ).
cnf(s35,plain,
spl1_8,
inference(rat,[],[s9,s30]) ).
cnf(s36,plain,
spl1_20,
inference(rat,[],[s28,s35]) ).
cnf(s38,plain,
spl1_6,
inference(rat,[],[s7,s30]) ).
cnf(s39,plain,
spl1_2,
inference(rat,[],[s25,s35,s38]) ).
cnf(s41,plain,
spl1_5,
inference(rat,[],[s6,s30]) ).
cnf(s42,plain,
spl1_22,
inference(rat,[],[s27,s35,s36,s41]) ).
cnf(s44,plain,
spl1_1,
inference(rat,[],[s29,s38,s19,s35,s42]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s39,s44]) ).
fof(f549,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC383-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n010.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 09:23:33 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 4.56/1.61 % (1795545)Input is clausal, will run a generic CNF schedule.
% 4.56/1.61 % (1795551)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1415879748:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.56/1.61 % (1795555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2501346696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.56/1.61 % (1795553)lrs+10_1_sil=8000:sp=occurrence:random_seed=3041955750:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.56/1.61 % (1795554)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=435686120:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.56/1.61 % (1795550)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=697924192:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.56/1.61 % (1795552)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3565905171:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.56/1.61 % (1795556)dis-21_1_sil=8000:lcm=predicate:random_seed=634948573:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.56/1.61 % (1795556)Instruction limit reached!
% 4.56/1.61 % (1795556)------------------------------
% 4.56/1.61 % (1795556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795556)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795556)Termination reason: Instruction limit
% 4.56/1.61 % (1795556)Termination phase: Saturation
% 4.56/1.61 % (1795556)Time elapsed: 0.053 s
% 4.56/1.61 % (1795556)Peak memory usage: 89 MB
% 4.56/1.61 % (1795556)Instructions burned: 118 (million)
% 4.56/1.61 % (1795553)Instruction limit reached!
% 4.56/1.61 % (1795553)------------------------------
% 4.56/1.61 % (1795553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795553)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795553)Termination reason: Instruction limit
% 4.56/1.61 % (1795553)Termination phase: Saturation
% 4.56/1.61 % (1795553)Time elapsed: 0.066 s
% 4.56/1.61 % (1795553)Peak memory usage: 89 MB
% 4.56/1.61 % (1795553)Instructions burned: 108 (million)
% 4.56/1.61 % (1795554)Instruction limit reached!
% 4.56/1.61 % (1795554)------------------------------
% 4.56/1.61 % (1795554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795554)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795554)Termination reason: Instruction limit
% 4.56/1.61 % (1795554)Termination phase: Saturation
% 4.56/1.61 % (1795554)Time elapsed: 0.070 s
% 4.56/1.61 % (1795554)Peak memory usage: 89 MB
% 4.56/1.61 % (1795554)Instructions burned: 116 (million)
% 4.56/1.61 % (1795555)Instruction limit reached!
% 4.56/1.61 % (1795555)------------------------------
% 4.56/1.61 % (1795555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795555)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795555)Termination reason: Instruction limit
% 4.56/1.61 % (1795555)Termination phase: Saturation
% 4.56/1.61 % (1795555)Time elapsed: 0.123 s
% 4.56/1.61 % (1795555)Peak memory usage: 90 MB
% 4.56/1.61 % (1795555)Instructions burned: 181 (million)
% 4.56/1.61 % (1795564)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=134142076:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.56/1.61 % (1795565)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=568263769:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.56/1.61 % (1795566)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4178281893:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.56/1.61 % (1795567)lrs+10_64_to=lpo:sil=8000:random_seed=552670770:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.56/1.61 % (1795564)Instruction limit reached!
% 4.56/1.61 % (1795564)------------------------------
% 4.56/1.61 % (1795564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795564)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795564)Termination reason: Instruction limit
% 4.56/1.61 % (1795564)Termination phase: Saturation
% 4.56/1.61 % (1795564)Time elapsed: 0.093 s
% 4.56/1.61 % (1795564)Peak memory usage: 89 MB
% 4.56/1.61 % (1795564)Instructions burned: 144 (million)
% 4.56/1.61 % (1795565)Instruction limit reached!
% 4.56/1.61 % (1795565)------------------------------
% 4.56/1.61 % (1795565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795565)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795565)Termination reason: Instruction limit
% 4.56/1.61 % (1795565)Termination phase: Saturation
% 4.56/1.61 % (1795565)Time elapsed: 0.097 s
% 4.56/1.61 % (1795565)Peak memory usage: 91 MB
% 4.56/1.61 % (1795565)Instructions burned: 191 (million)
% 4.56/1.61 % (1795567)Instruction limit reached!
% 4.56/1.61 % (1795567)------------------------------
% 4.56/1.61 % (1795567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795567)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795567)Termination reason: Instruction limit
% 4.56/1.61 % (1795567)Termination phase: Saturation
% 4.56/1.61 % (1795567)Time elapsed: 0.065 s
% 4.56/1.61 % (1795567)Peak memory usage: 89 MB
% 4.56/1.61 % (1795567)Instructions burned: 127 (million)
% 4.56/1.61 % (1795566)Instruction limit reached!
% 4.56/1.61 % (1795566)------------------------------
% 4.56/1.61 % (1795566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795566)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795566)Termination reason: Instruction limit
% 4.56/1.61 % (1795566)Termination phase: Saturation
% 4.56/1.61 % (1795566)Time elapsed: 0.130 s
% 4.56/1.61 % (1795566)Peak memory usage: 90 MB
% 4.56/1.61 % (1795566)Instructions burned: 220 (million)
% 4.56/1.61 % (1795572)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=200176582:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.56/1.61 % (1795575)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=890723886:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.56/1.61 % (1795573)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2468261773:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.56/1.61 % (1795575)Instruction limit reached!
% 4.56/1.61 % (1795575)------------------------------
% 4.56/1.61 % (1795575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795575)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795575)Termination reason: Instruction limit
% 4.56/1.61 % (1795575)Termination phase: Saturation
% 4.56/1.61 % (1795575)Time elapsed: 0.031 s
% 4.56/1.61 % (1795575)Peak memory usage: 90 MB
% 4.56/1.61 % (1795575)Instructions burned: 108 (million)
% 4.56/1.61 % (1795574)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2160695721:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 4.56/1.61 % (1795573)Instruction limit reached!
% 4.56/1.61 % (1795573)------------------------------
% 4.56/1.61 % (1795573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795573)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795573)Termination reason: Instruction limit
% 4.56/1.61 % (1795573)Termination phase: Saturation
% 4.56/1.61 % (1795573)Time elapsed: 0.088 s
% 4.56/1.61 % (1795573)Peak memory usage: 91 MB
% 4.56/1.61 % (1795573)Instructions burned: 157 (million)
% 4.56/1.61 % (1795579)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3975776332:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 4.56/1.61 % (1795572)Instruction limit reached!
% 4.56/1.61 % (1795572)------------------------------
% 4.56/1.61 % (1795572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795572)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795572)Termination reason: Instruction limit
% 4.56/1.61 % (1795572)Termination phase: Saturation
% 4.56/1.61 % (1795572)Time elapsed: 0.127 s
% 4.56/1.61 % (1795572)Peak memory usage: 91 MB
% 4.56/1.61 % (1795572)Instructions burned: 195 (million)
% 4.56/1.61 % (1795579)Instruction limit reached!
% 4.56/1.61 % (1795579)------------------------------
% 4.56/1.61 % (1795579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795579)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795579)Termination reason: Instruction limit
% 4.56/1.61 % (1795579)Termination phase: Saturation
% 4.56/1.61 % (1795579)Time elapsed: 0.037 s
% 4.56/1.61 % (1795579)Peak memory usage: 90 MB
% 4.56/1.61 % (1795579)Instructions burned: 109 (million)
% 4.56/1.61 % (1795581)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4176383512:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 4.56/1.61 % (1795550)First to succeed.
% 4.56/1.61 % (1795550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1795545"
% 4.56/1.61 % (1795552)Also succeeded, but the first one will report.
% 4.56/1.61 % (1795583)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3399733382:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 4.56/1.61 % (1795584)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2953507986:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 4.56/1.61 % (1795584)Instruction limit reached!
% 4.56/1.61 % (1795584)------------------------------
% 4.56/1.61 % (1795584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795584)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795584)Termination reason: Instruction limit
% 4.56/1.61 % (1795584)Termination phase: Saturation
% 4.56/1.61 % (1795584)Time elapsed: 0.056 s
% 4.56/1.61 % (1795584)Peak memory usage: 88 MB
% 4.56/1.61 % (1795584)Instructions burned: 136 (million)
% 4.56/1.61 % (1795581)Instruction limit reached!
% 4.56/1.61 % (1795581)------------------------------
% 4.56/1.61 % (1795581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.61 % (1795581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.61 % (1795581)CaDiCaL version: 2.1.3
% 4.56/1.61 % (1795581)Termination reason: Instruction limit
% 4.56/1.61 % (1795581)Termination phase: Saturation
% 4.56/1.61 % (1795581)Time elapsed: 0.156 s
% 4.56/1.61 % (1795581)Peak memory usage: 90 MB
% 4.56/1.61 % (1795581)Instructions burned: 243 (million)
% 4.56/1.61 % (1795550)Refutation found. Thanks to Tanya!
% 4.56/1.61 % SZS status Unsatisfiable for theBenchmark
% 4.56/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (1795550)------------------------------
% 0.17/1.70 % (1795550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (1795550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (1795550)CaDiCaL version: 2.1.3
% 0.17/1.70 % (1795550)Termination reason: Refutation
% 0.17/1.70 % (1795550)Time elapsed: 0.647 s
% 0.17/1.70 % (1795550)Peak memory usage: 131 MB
% 0.17/1.70 % (1795550)Instructions burned: 1013 (million)
% 0.17/1.70 % (1795550)------------------------------
% 0.17/1.70 % (1795550)------------------------------
% 0.17/1.70 % (1795545)Success in time 0.965 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------