%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC021-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:02:04 PM UTC 2026
% Result : Unsatisfiable 6.73s 2.00s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 115 ( 18 unt; 8 def)
% Number of atoms : 346 ( 54 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 426 ( 195 ~; 223 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/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(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ neq(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f214,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f226,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f246,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f247,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( nil != sk3
| spl0_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl0_2
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f252,plain,
( nil != sk4
| spl0_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f214,f250,f246]) ).
fof(f259,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f268,definition,
( spl0_6
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f294,plain,
spl0_6,
inference(avatar_split_clause,[],[f66,f268]) ).
fof(f295,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f259]) ).
fof(f296,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(resolution,[],[f102,f213]) ).
fof(f297,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f298,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ frontsegP(sk3,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f297,f260]) ).
fof(f299,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ frontsegP(sk3,sk3)
| ~ spl0_4 ),
inference(resolution,[],[f298,f206]) ).
fof(f300,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f299,f61]) ).
fof(f301,plain,
( ~ ssList(sk3)
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f300,f248]) ).
fof(f302,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f301,f202]) ).
fof(f303,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f328,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f330,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f328,f252]) ).
fof(f340,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| sk3 = X0 ),
inference(resolution,[],[f209,f102]) ).
fof(f342,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| ~ ssList(sk3)
| sk3 = X0 ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f344,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0)
| sk3 = X0 ),
inference(forward_subsumption_resolution,[],[f342,f202]) ).
fof(f345,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f344,f247]) ).
fof(f346,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| ~ strictorderedP(X0)
| sk3 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f345,f56]) ).
fof(f347,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ strictorderedP(X0) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f346,f247]) ).
fof(f381,definition,
( spl0_12
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f382,plain,
( ssList(tl(sk4))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( ~ ssList(tl(sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f393,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_12 ),
inference(resolution,[],[f383,f77]) ).
fof(f394,plain,
( nil = sk4
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f393,f203]) ).
fof(f395,plain,
( $false
| spl0_2
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f394,f252]) ).
fof(f396,plain,
( spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f453,plain,
! [X0,X1] :
( ~ ssList(X1)
| cons(hd(X1),X0) = app(cons(hd(X1),nil),X0)
| ~ ssList(X0)
| nil = X1 ),
inference(resolution,[],[f126,f78]) ).
fof(f461,plain,
! [X0] :
( cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0)
| ~ ssList(X0)
| nil = sk4 ),
inference(resolution,[],[f453,f203]) ).
fof(f462,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk4),X0) = app(cons(hd(sk4),nil),X0) )
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f461,f252]) ).
fof(f470,plain,
( cons(hd(sk4),tl(sk4)) = app(cons(hd(sk4),nil),tl(sk4))
| spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f462,f382]) ).
fof(f508,definition,
( spl0_17
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f509,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f527,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_17 ),
inference(resolution,[],[f510,f86]) ).
fof(f528,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_4
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f527,f260]) ).
fof(f532,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_4
| spl0_17 ),
inference(resolution,[],[f528,f78]) ).
fof(f533,plain,
( nil = sk4
| ~ spl0_4
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f532,f203]) ).
fof(f534,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f533,f252]) ).
fof(f535,plain,
( spl0_2
| ~ spl0_4
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f544,definition,
( spl0_22
<=> nil = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f545,plain,
( nil != cons(hd(sk4),nil)
| spl0_22 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f564,plain,
( nil != nil
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_22 ),
inference(superposition,[],[f100,f546]) ).
fof(f568,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f564]) ).
fof(f571,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f568,f260]) ).
fof(f574,definition,
( spl0_26
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f575,plain,
( ssItem(hd(sk4))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( ~ ssItem(hd(sk4))
| spl0_26 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f585,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f571,f544,f259,f574]) ).
fof(f586,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_26 ),
inference(resolution,[],[f576,f78]) ).
fof(f587,plain,
( nil = sk4
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f586,f203]) ).
fof(f588,plain,
( $false
| spl0_2
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f587,f252]) ).
fof(f589,plain,
( spl0_2
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f857,plain,
( sk4 = app(cons(hd(sk4),nil),tl(sk4))
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f470,f330]) ).
fof(f867,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f226,f857]) ).
fof(f868,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(sk4)
| ~ ssList(tl(sk4))
| spl0_2
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f867,f509]) ).
fof(f873,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| spl0_2
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f868,f203]) ).
fof(f877,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| spl0_2
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f873,f382]) ).
fof(f880,plain,
( ~ ssList(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_1
| spl0_2
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f877,f347]) ).
fof(f885,plain,
( nil = cons(hd(sk4),nil)
| ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_1
| spl0_2
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f880,f509]) ).
fof(f889,plain,
( ~ strictorderedP(cons(hd(sk4),nil))
| ~ spl0_1
| spl0_2
| ~ spl0_12
| ~ spl0_17
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f885,f545]) ).
fof(f893,plain,
( ~ ssItem(hd(sk4))
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| spl0_22 ),
inference(resolution,[],[f889,f269]) ).
fof(f894,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| spl0_22
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f893,f575]) ).
fof(f895,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| spl0_22
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f894]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f294]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f295]) ).
cnf(s12,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f303]) ).
cnf(s15,plain,
( spl0_2
| spl0_12 ),
inference(sat_conversion,[],[f396]) ).
cnf(s22,plain,
( spl0_2
| ~ spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f535]) ).
cnf(s28,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f585]) ).
cnf(s29,plain,
( spl0_2
| spl0_26 ),
inference(sat_conversion,[],[f589]) ).
cnf(s40,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_17
| spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f895]) ).
cnf(s41,plain,
spl0_1,
inference(rat,[],[s12,s11]) ).
cnf(s46,plain,
~ spl0_2,
inference(rat,[],[s1,s41]) ).
cnf(s47,plain,
spl0_26,
inference(rat,[],[s29,s46]) ).
cnf(s48,plain,
spl0_17,
inference(rat,[],[s22,s11,s46]) ).
cnf(s49,plain,
spl0_12,
inference(rat,[],[s15,s46]) ).
cnf(s50,plain,
~ spl0_22,
inference(rat,[],[s28,s11,s47]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s40,s47,s50,s46,s10,s41,s48,s49]) ).
fof(f896,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC021-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 07:28:25 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.73/2.00 % (3797228)Input is clausal, will run a generic CNF schedule.
% 6.73/2.00 % (3797237)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2833715714:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.73/2.00 % (3797237)Instruction limit reached!
% 6.73/2.00 % (3797237)------------------------------
% 6.73/2.00 % (3797237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797237)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797237)Termination reason: Instruction limit
% 6.73/2.00 % (3797237)Termination phase: Saturation
% 6.73/2.00 % (3797237)Time elapsed: 0.036 s
% 6.73/2.00 % (3797237)Peak memory usage: 89 MB
% 6.73/2.00 % (3797237)Instructions burned: 117 (million)
% 6.73/2.00 % (3797233)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=213238745:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.73/2.00 % (3797236)lrs+10_1_sil=8000:sp=occurrence:random_seed=1621684224:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.73/2.00 % (3797235)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1643299290:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.73/2.00 % (3797234)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1283593280:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.73/2.00 % (3797239)dis-21_1_sil=8000:lcm=predicate:random_seed=317564052: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)
% 6.73/2.00 % (3797238)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2657668022:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.73/2.00 % (3797236)Instruction limit reached!
% 6.73/2.00 % (3797236)------------------------------
% 6.73/2.00 % (3797236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797236)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797236)Termination reason: Instruction limit
% 6.73/2.00 % (3797236)Termination phase: Saturation
% 6.73/2.00 % (3797236)Time elapsed: 0.073 s
% 6.73/2.00 % (3797236)Peak memory usage: 89 MB
% 6.73/2.00 % (3797236)Instructions burned: 108 (million)
% 6.73/2.00 % (3797239)Instruction limit reached!
% 6.73/2.00 % (3797239)------------------------------
% 6.73/2.00 % (3797239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797239)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797239)Termination reason: Instruction limit
% 6.73/2.00 % (3797239)Termination phase: Saturation
% 6.73/2.00 % (3797239)Time elapsed: 0.065 s
% 6.73/2.00 % (3797239)Peak memory usage: 89 MB
% 6.73/2.00 % (3797239)Instructions burned: 118 (million)
% 6.73/2.00 % (3797245)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=1355075822:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.73/2.00 % (3797238)Instruction limit reached!
% 6.73/2.00 % (3797238)------------------------------
% 6.73/2.00 % (3797238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797238)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797238)Termination reason: Instruction limit
% 6.73/2.00 % (3797238)Termination phase: Saturation
% 6.73/2.00 % (3797238)Time elapsed: 0.125 s
% 6.73/2.00 % (3797238)Peak memory usage: 90 MB
% 6.73/2.00 % (3797238)Instructions burned: 181 (million)
% 6.73/2.00 % (3797245)Instruction limit reached!
% 6.73/2.00 % (3797245)------------------------------
% 6.73/2.00 % (3797245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797245)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797245)Termination reason: Instruction limit
% 6.73/2.00 % (3797245)Termination phase: Saturation
% 6.73/2.00 % (3797245)Time elapsed: 0.051 s
% 6.73/2.00 % (3797245)Peak memory usage: 89 MB
% 6.73/2.00 % (3797245)Instructions burned: 143 (million)
% 6.73/2.00 % (3797248)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1580646331: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)
% 6.73/2.00 % (3797249)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3989102517:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.73/2.00 % (3797252)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=894334647:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.73/2.00 % (3797251)lrs+10_64_to=lpo:sil=8000:random_seed=1813336251:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.73/2.00 % (3797248)Instruction limit reached!
% 6.73/2.00 % (3797248)------------------------------
% 6.73/2.00 % (3797248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797248)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797248)Termination reason: Instruction limit
% 6.73/2.00 % (3797248)Termination phase: Saturation
% 6.73/2.00 % (3797248)Time elapsed: 0.099 s
% 6.73/2.00 % (3797248)Peak memory usage: 91 MB
% 6.73/2.00 % (3797248)Instructions burned: 189 (million)
% 6.73/2.00 % (3797249)Instruction limit reached!
% 6.73/2.00 % (3797249)------------------------------
% 6.73/2.00 % (3797249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797249)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797249)Termination reason: Instruction limit
% 6.73/2.00 % (3797249)Termination phase: Saturation
% 6.73/2.00 % (3797249)Time elapsed: 0.089 s
% 6.73/2.00 % (3797249)Peak memory usage: 88 MB
% 6.73/2.00 % (3797249)Instructions burned: 221 (million)
% 6.73/2.00 % (3797252)Instruction limit reached!
% 6.73/2.00 % (3797252)------------------------------
% 6.73/2.00 % (3797252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797252)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797252)Termination reason: Instruction limit
% 6.73/2.00 % (3797252)Termination phase: Saturation
% 6.73/2.00 % (3797252)Time elapsed: 0.066 s
% 6.73/2.00 % (3797252)Peak memory usage: 91 MB
% 6.73/2.00 % (3797252)Instructions burned: 195 (million)
% 6.73/2.00 % (3797251)Instruction limit reached!
% 6.73/2.00 % (3797251)------------------------------
% 6.73/2.00 % (3797251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797251)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797251)Termination reason: Instruction limit
% 6.73/2.00 % (3797251)Termination phase: Saturation
% 6.73/2.00 % (3797251)Time elapsed: 0.067 s
% 6.73/2.00 % (3797251)Peak memory usage: 90 MB
% 6.73/2.00 % (3797251)Instructions burned: 126 (million)
% 6.73/2.00 % (3797257)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2669566872:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.73/2.00 % (3797259)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=2665019421:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.73/2.00 % (3797258)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1522034286:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.73/2.00 % (3797259)Instruction limit reached!
% 6.73/2.00 % (3797259)------------------------------
% 6.73/2.00 % (3797259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797259)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797259)Termination reason: Instruction limit
% 6.73/2.00 % (3797259)Termination phase: Saturation
% 6.73/2.00 % (3797259)Time elapsed: 0.029 s
% 6.73/2.00 % (3797259)Peak memory usage: 91 MB
% 6.73/2.00 % (3797259)Instructions burned: 108 (million)
% 6.73/2.00 % (3797260)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3662226489:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.73/2.00 % (3797257)Instruction limit reached!
% 6.73/2.00 % (3797257)------------------------------
% 6.73/2.00 % (3797257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797257)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797257)Termination reason: Instruction limit
% 6.73/2.00 % (3797257)Termination phase: Saturation
% 6.73/2.00 % (3797257)Time elapsed: 0.095 s
% 6.73/2.00 % (3797257)Peak memory usage: 91 MB
% 6.73/2.00 % (3797257)Instructions burned: 158 (million)
% 6.73/2.00 % (3797260)Instruction limit reached!
% 6.73/2.00 % (3797260)------------------------------
% 6.73/2.00 % (3797260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797260)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797260)Termination reason: Instruction limit
% 6.73/2.00 % (3797260)Termination phase: Saturation
% 6.73/2.00 % (3797260)Time elapsed: 0.067 s
% 6.73/2.00 % (3797260)Peak memory usage: 90 MB
% 6.73/2.00 % (3797260)Instructions burned: 108 (million)
% 6.73/2.00 % (3797264)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1136759501:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.73/2.00 % (3797266)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2050039760:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.73/2.00 % (3797264)Instruction limit reached!
% 6.73/2.00 % (3797264)------------------------------
% 6.73/2.00 % (3797264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797264)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797264)Termination reason: Instruction limit
% 6.73/2.00 % (3797264)Termination phase: Saturation
% 6.73/2.00 % (3797264)Time elapsed: 0.081 s
% 6.73/2.00 % (3797264)Peak memory usage: 89 MB
% 6.73/2.00 % (3797264)Instructions burned: 244 (million)
% 6.73/2.00 % (3797267)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2689462184:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.73/2.00 % (3797233)First to succeed.
% 6.73/2.00 % (3797234)Also succeeded, but the first one will report.
% 6.73/2.00 % (3797233)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3797228"
% 6.73/2.00 % (3797267)Instruction limit reached!
% 6.73/2.00 % (3797267)------------------------------
% 6.73/2.00 % (3797267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797267)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797267)Termination reason: Instruction limit
% 6.73/2.00 % (3797267)Termination phase: Saturation
% 6.73/2.00 % (3797267)Time elapsed: 0.091 s
% 6.73/2.00 % (3797267)Peak memory usage: 90 MB
% 6.73/2.00 % (3797267)Instructions burned: 134 (million)
% 6.73/2.00 % (3797270)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4049384373:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.73/2.00 % (3797270)Instruction limit reached!
% 6.73/2.00 % (3797270)------------------------------
% 6.73/2.00 % (3797270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.00 % (3797270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.00 % (3797270)CaDiCaL version: 2.1.3
% 6.73/2.00 % (3797270)Termination reason: Instruction limit
% 6.73/2.00 % (3797270)Termination phase: Saturation
% 6.73/2.00 % (3797270)Time elapsed: 0.143 s
% 6.73/2.00 % (3797270)Peak memory usage: 98 MB
% 6.73/2.00 % (3797270)Instructions burned: 500 (million)
% 6.73/2.00 % (3797272)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=636879781:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.73/2.00 % (3797233)Refutation found. Thanks to Tanya!
% 6.73/2.00 % SZS status Unsatisfiable for theBenchmark
% 6.73/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.78/2.19 % (3797233)------------------------------
% 8.78/2.19 % (3797233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.19 % (3797233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.19 % (3797233)CaDiCaL version: 2.1.3
% 8.78/2.19 % (3797233)Termination reason: Refutation
% 8.78/2.19 % (3797233)Time elapsed: 0.734 s
% 8.78/2.19 % (3797233)Peak memory usage: 130 MB
% 8.78/2.19 % (3797233)Instructions burned: 1082 (million)
% 8.78/2.19 % (3797233)------------------------------
% 8.78/2.19 % (3797233)------------------------------
% 8.78/2.19 % (3797228)Success in time 1.162 s
% 8.78/2.19 % Vampire exiting
%------------------------------------------------------------------------------