%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC160-1 : 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 : n004.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 01:02:43 PM UTC 2026
% Result : Unsatisfiable 6.35s 1.88s
% Output : Refutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 43
% Syntax : Number of formulae : 197 ( 58 unt; 23 def)
% Number of atoms : 510 ( 62 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 637 ( 324 ~; 299 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f117,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
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(f128,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f209,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
ssList(sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
sk1 = app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10),
inference(reorient_equations,[],[f217]) ).
fof(f219,negated_conjecture,
leq(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f226,plain,
sk3 = app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10),
inference(definition_unfolding,[],[f218,f205]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f254,definition,
! [X0] : sF1(X0) = cons(X0,nil),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f255,plain,
! [X0] : cons(X0,nil) = sF1(X0),
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
! [X0,X1] : sF2(X0,X1) = app(sF1(X0),X1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f257,plain,
! [X0,X1] : app(sF1(X0),X1) = sF2(X0,X1),
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
! [X2,X3] : sF3(X3,X2) = app(X3,sF1(X2)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f259,plain,
! [X2,X3] : app(X3,sF1(X2)) = sF3(X3,X2),
inference(reorient_equations,[],[f258]) ).
fof(f261,definition,
sF4 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f262,plain,
cons(sk6,nil) = sF4,
inference(reorient_equations,[],[f261]) ).
fof(f263,definition,
sF5 = app(sk8,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f264,plain,
app(sk8,sF4) = sF5,
inference(reorient_equations,[],[f263]) ).
fof(f265,definition,
sF6 = app(sF5,sk9),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f266,plain,
app(sF5,sk9) = sF6,
inference(reorient_equations,[],[f265]) ).
fof(f267,definition,
sF7 = cons(sk7,nil),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f268,plain,
cons(sk7,nil) = sF7,
inference(reorient_equations,[],[f267]) ).
fof(f269,definition,
sF8 = app(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f270,plain,
app(sF6,sF7) = sF8,
inference(reorient_equations,[],[f269]) ).
fof(f271,definition,
sF9 = app(sF8,sk10),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f272,plain,
app(sF8,sk10) = sF9,
inference(reorient_equations,[],[f271]) ).
fof(f273,plain,
sk3 = sF9,
inference(definition_folding,[],[f226,f272,f270,f268,f266,f264,f262]) ).
fof(f317,definition,
( spl10_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f318,plain,
( ssList(nil)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f345,definition,
( spl10_15
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f346,plain,
( ! [X1] : ssItem(X1)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f348,definition,
( spl10_16
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f349,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl10_15
| spl10_16 ),
inference(avatar_split_clause,[],[f72,f348,f345]) ).
fof(f353,plain,
spl10_9,
inference(avatar_split_clause,[],[f8,f317]) ).
fof(f355,plain,
sF4 = sF1(sk6),
inference(forward_demodulation,[],[f262,f255]) ).
fof(f356,plain,
sF7 = sF1(sk7),
inference(forward_demodulation,[],[f268,f255]) ).
fof(f357,plain,
sk3 = app(sF8,sk10),
inference(forward_demodulation,[],[f272,f273]) ).
fof(f374,plain,
! [X0] : sF2(sk6,X0) = app(sF4,X0),
inference(superposition,[],[f257,f355]) ).
fof(f375,plain,
! [X0] : sF2(sk7,X0) = app(sF7,X0),
inference(superposition,[],[f257,f356]) ).
fof(f383,plain,
! [X0] :
( ssList(sF1(X0))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f86,f255]) ).
fof(f384,plain,
( ! [X0] :
( ssList(sF1(X0))
| ~ ssItem(X0) )
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f383,f318]) ).
fof(f388,plain,
( ssList(sF5)
| ~ ssList(sk8)
| ~ ssList(sF4) ),
inference(superposition,[],[f85,f264]) ).
fof(f390,plain,
( ssList(sF6)
| ~ ssList(sF5)
| ~ ssList(sk9) ),
inference(superposition,[],[f85,f266]) ).
fof(f394,definition,
( spl10_17
<=> ssList(sF7) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f395,plain,
( ssList(sF7)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( ~ ssList(sF7)
| spl10_17 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl10_18
<=> ssList(sF6) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f399,plain,
( ssList(sF6)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f406,plain,
( ssList(sF6)
| ~ ssList(sF5) ),
inference(forward_subsumption_resolution,[],[f390,f215]) ).
fof(f408,plain,
( ssList(sF5)
| ~ ssList(sF4) ),
inference(forward_subsumption_resolution,[],[f388,f214]) ).
fof(f411,definition,
( spl10_20
<=> ssList(sF5) ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f414,plain,
( ~ spl10_20
| spl10_18 ),
inference(avatar_split_clause,[],[f406,f398,f411]) ).
fof(f416,definition,
( spl10_21
<=> ssList(sF4) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f417,plain,
( ssList(sF4)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( ~ ssList(sF4)
| spl10_21 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( ~ spl10_21
| spl10_20 ),
inference(avatar_split_clause,[],[f408,f411,f416]) ).
fof(f441,plain,
! [X0] : sF3(X0,sk6) = app(X0,sF4),
inference(superposition,[],[f259,f355]) ).
fof(f448,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk6,X0) = app(cons(sk6,nil),X0) ),
inference(resolution,[],[f126,f212]) ).
fof(f449,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk7,X0) = app(cons(sk7,nil),X0) ),
inference(resolution,[],[f126,f213]) ).
fof(f450,plain,
! [X0] :
( app(sF1(sk7),X0) = cons(sk7,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f449,f255]) ).
fof(f451,plain,
! [X0] :
( app(sF1(sk6),X0) = cons(sk6,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f448,f255]) ).
fof(f452,plain,
! [X0] :
( sF2(sk7,X0) = cons(sk7,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f450,f257]) ).
fof(f453,plain,
! [X0] :
( sF2(sk6,X0) = cons(sk6,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f451,f257]) ).
fof(f454,plain,
! [X0] :
( ~ ssList(X0)
| app(sF7,X0) = cons(sk7,X0) ),
inference(forward_demodulation,[],[f452,f375]) ).
fof(f455,plain,
! [X0] :
( ~ ssList(X0)
| app(sF4,X0) = cons(sk6,X0) ),
inference(forward_demodulation,[],[f453,f374]) ).
fof(f462,plain,
app(sF4,sk9) = cons(sk6,sk9),
inference(resolution,[],[f455,f215]) ).
fof(f474,plain,
app(sF7,sk10) = cons(sk7,sk10),
inference(resolution,[],[f454,f216]) ).
fof(f492,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(sk8,X0),X1) = app(sk8,app(X0,X1)) ),
inference(resolution,[],[f161,f214]) ).
fof(f533,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk7)
| lt(sk7,sk6)
| sk6 = sk7 ),
inference(resolution,[],[f128,f219]) ).
fof(f534,plain,
( ~ ssItem(sk7)
| lt(sk7,sk6)
| sk6 = sk7 ),
inference(forward_subsumption_resolution,[],[f533,f212]) ).
fof(f535,plain,
( lt(sk7,sk6)
| sk6 = sk7 ),
inference(forward_subsumption_resolution,[],[f534,f213]) ).
fof(f537,definition,
( spl10_24
<=> sk6 = sk7 ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f539,plain,
( sk6 = sk7
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl10_25
<=> lt(sk7,sk6) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f543,plain,
( lt(sk7,sk6)
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,plain,
( spl10_24
| spl10_25 ),
inference(avatar_split_clause,[],[f535,f541,f537]) ).
fof(f623,definition,
( spl10_32
<=> lt(sk6,sk7) ),
introduced(definition,[new_symbols(definition,[spl10_32])],[avatar_definition]) ).
fof(f624,plain,
( lt(sk6,sk7)
| ~ spl10_32 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( ~ lt(sk6,sk7)
| spl10_32 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f634,definition,
( spl10_34
<=> lt(sk6,sk6) ),
introduced(definition,[new_symbols(definition,[spl10_34])],[avatar_definition]) ).
fof(f635,plain,
( lt(sk6,sk6)
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ lt(sk6,sk6)
| spl10_34 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f863,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sk8,X0),sk9) = app(sk8,app(X0,sk9)) ),
inference(resolution,[],[f492,f215]) ).
fof(f955,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X1,sF1(X0)),cons(X0,X2)))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ duplicatefreeP(app(app(X1,sF1(X0)),cons(X0,X2)))
| ~ ssList(X2) ),
inference(superposition,[],[f244,f255]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X1,sF1(X0)),cons(X0,X2)))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ duplicatefreeP(app(app(X1,sF1(X0)),cons(X0,X2)))
| ~ ssList(X2) )
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f955,f318]) ).
fof(f981,plain,
( ~ lt(sk6,sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| ~ spl10_25 ),
inference(resolution,[],[f117,f543]) ).
fof(f1401,plain,
( ssList(sF4)
| ~ ssItem(sk6)
| ~ spl10_9 ),
inference(superposition,[],[f384,f355]) ).
fof(f1402,plain,
( ssList(sF7)
| ~ ssItem(sk7)
| ~ spl10_9 ),
inference(superposition,[],[f384,f356]) ).
fof(f1403,plain,
( ~ ssItem(sk7)
| ~ spl10_9
| spl10_17 ),
inference(forward_subsumption_resolution,[],[f1402,f396]) ).
fof(f1404,plain,
( ~ ssItem(sk6)
| ~ spl10_9
| spl10_21 ),
inference(forward_subsumption_resolution,[],[f1401,f418]) ).
fof(f1416,plain,
( $false
| ~ spl10_9
| spl10_17 ),
inference(forward_subsumption_resolution,[],[f1403,f213]) ).
fof(f1417,plain,
( ~ spl10_9
| spl10_17 ),
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1418,plain,
( $false
| ~ spl10_9
| spl10_21 ),
inference(forward_subsumption_resolution,[],[f1404,f212]) ).
fof(f1419,plain,
( ~ spl10_9
| spl10_21 ),
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1716,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(sF6,X0),X1) = app(sF6,app(X0,X1)) )
| ~ spl10_18 ),
inference(resolution,[],[f399,f161]) ).
fof(f1865,definition,
( spl10_47
<=> ! [X2] : ~ ssList(X2) ),
introduced(definition,[new_symbols(definition,[spl10_47])],[avatar_definition]) ).
fof(f1866,plain,
( ! [X2] : ~ ssList(X2)
| ~ spl10_47 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f2447,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sF6,X0),sk10) = app(sF6,app(X0,sk10)) )
| ~ spl10_18 ),
inference(resolution,[],[f1716,f216]) ).
fof(f2748,plain,
( $false
| ~ spl10_47 ),
inference(resolution,[],[f1866,f202]) ).
fof(f2770,plain,
~ spl10_47,
inference(avatar_contradiction_clause,[],[f2748]) ).
fof(f2774,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(app(X1,sF1(X0)),cons(X0,X2)))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X2) )
| ~ spl10_9
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f960,f349]) ).
fof(f2805,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(sF3(X1,X0),cons(X0,X2)))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X2) )
| ~ spl10_9
| ~ spl10_16 ),
inference(forward_demodulation,[],[f2774,f259]) ).
fof(f2834,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF4),cons(sk6,X1)))
| ~ ssList(X0)
| ~ ssItem(sk6)
| ~ ssList(X1) )
| ~ spl10_9
| ~ spl10_16 ),
inference(superposition,[],[f2805,f441]) ).
fof(f2842,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF4),cons(sk6,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl10_9
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f2834,f212]) ).
fof(f2879,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,sF4))
| ~ ssList(cons(sk6,X1)) )
| ~ spl10_9
| ~ spl10_16 ),
inference(resolution,[],[f2842,f85]) ).
fof(f2890,definition,
( spl10_72
<=> ! [X1] :
( ~ ssList(X1)
| ~ ssList(cons(sk6,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl10_72])],[avatar_definition]) ).
fof(f2891,plain,
( ! [X1] :
( ~ ssList(cons(sk6,X1))
| ~ ssList(X1) )
| ~ spl10_72 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2893,definition,
( spl10_73
<=> ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(X0,sF4)) ) ),
introduced(definition,[new_symbols(definition,[spl10_73])],[avatar_definition]) ).
fof(f2894,plain,
( ! [X0] :
( ~ ssList(app(X0,sF4))
| ~ ssList(X0) )
| ~ spl10_73 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f2895,plain,
( spl10_72
| spl10_73
| ~ spl10_9
| ~ spl10_16 ),
inference(avatar_split_clause,[],[f2879,f348,f317,f2893,f2890]) ).
fof(f3926,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl10_72 ),
inference(resolution,[],[f2891,f86]) ).
fof(f3928,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sk6) )
| ~ spl10_72 ),
inference(duplicate_literal_removal,[],[f3926]) ).
fof(f3930,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl10_72 ),
inference(forward_subsumption_resolution,[],[f3928,f212]) ).
fof(f3932,plain,
( spl10_47
| ~ spl10_72 ),
inference(avatar_split_clause,[],[f3930,f2890,f1865]) ).
fof(f5472,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sF4) )
| ~ spl10_73 ),
inference(resolution,[],[f2894,f85]) ).
fof(f5475,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF4) )
| ~ spl10_73 ),
inference(duplicate_literal_removal,[],[f5472]) ).
fof(f5477,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl10_21
| ~ spl10_73 ),
inference(forward_subsumption_resolution,[],[f5475,f417]) ).
fof(f5480,plain,
( spl10_47
| ~ spl10_21
| ~ spl10_73 ),
inference(avatar_split_clause,[],[f5477,f2893,f416,f1865]) ).
fof(f6381,plain,
( app(app(sF6,sF7),sk10) = app(sF6,app(sF7,sk10))
| ~ spl10_17
| ~ spl10_18 ),
inference(resolution,[],[f2447,f395]) ).
fof(f6384,plain,
( app(app(sF6,sF7),sk10) = app(sF6,cons(sk7,sk10))
| ~ spl10_17
| ~ spl10_18 ),
inference(forward_demodulation,[],[f6381,f474]) ).
fof(f6396,plain,
( app(sF8,sk10) = app(sF6,cons(sk7,sk10))
| ~ spl10_17
| ~ spl10_18 ),
inference(forward_demodulation,[],[f6384,f270]) ).
fof(f6400,plain,
( sk3 = app(sF6,cons(sk7,sk10))
| ~ spl10_17
| ~ spl10_18 ),
inference(forward_demodulation,[],[f6396,f357]) ).
fof(f7497,plain,
( app(app(sk8,sF4),sk9) = app(sk8,app(sF4,sk9))
| ~ spl10_21 ),
inference(resolution,[],[f863,f417]) ).
fof(f7504,plain,
( app(app(sk8,sF4),sk9) = app(sk8,cons(sk6,sk9))
| ~ spl10_21 ),
inference(forward_demodulation,[],[f7497,f462]) ).
fof(f7517,plain,
( app(sF5,sk9) = app(sk8,cons(sk6,sk9))
| ~ spl10_21 ),
inference(forward_demodulation,[],[f7504,f264]) ).
fof(f7522,plain,
( sF6 = app(sk8,cons(sk6,sk9))
| ~ spl10_21 ),
inference(forward_demodulation,[],[f7517,f266]) ).
fof(f7527,plain,
( ! [X0,X1] :
( ~ ssList(app(sF6,cons(X0,X1)))
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ strictorderedP(app(sF6,cons(X0,X1)))
| ~ ssList(X1)
| lt(sk6,X0) )
| ~ spl10_21 ),
inference(superposition,[],[f246,f7522]) ).
fof(f7545,plain,
( ! [X0,X1] :
( ~ ssList(app(sF6,cons(X0,X1)))
| ~ ssList(sk8)
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ strictorderedP(app(sF6,cons(X0,X1)))
| ~ ssList(X1)
| lt(sk6,X0) )
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7527,f215]) ).
fof(f7554,plain,
( ! [X0,X1] :
( ~ ssList(app(sF6,cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ strictorderedP(app(sF6,cons(X0,X1)))
| ~ ssList(X1)
| lt(sk6,X0) )
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7545,f214]) ).
fof(f7563,plain,
( ! [X0,X1] :
( ~ ssList(app(sF6,cons(X0,X1)))
| ~ ssItem(X0)
| ~ strictorderedP(app(sF6,cons(X0,X1)))
| ~ ssList(X1)
| lt(sk6,X0) )
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7554,f212]) ).
fof(f7569,plain,
( ! [X0,X1] :
( ~ ssList(app(sF6,cons(X0,X1)))
| ~ strictorderedP(app(sF6,cons(X0,X1)))
| ~ ssList(X1)
| lt(sk6,X0) )
| ~ spl10_15
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7563,f346]) ).
fof(f7573,plain,
( ~ ssList(sk3)
| ~ strictorderedP(sk3)
| ~ ssList(sk10)
| lt(sk6,sk7)
| ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21 ),
inference(superposition,[],[f7569,f6400]) ).
fof(f7576,plain,
( ~ strictorderedP(sk3)
| ~ ssList(sk10)
| lt(sk6,sk7)
| ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7573,f202]) ).
fof(f7579,plain,
( ~ ssList(sk10)
| lt(sk6,sk7)
| ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7576,f209]) ).
fof(f7582,plain,
( lt(sk6,sk7)
| ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f7579,f216]) ).
fof(f7584,plain,
( $false
| ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21
| spl10_32 ),
inference(forward_subsumption_resolution,[],[f7582,f625]) ).
fof(f7585,plain,
( ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21
| spl10_32 ),
inference(avatar_contradiction_clause,[],[f7584]) ).
fof(f7587,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk7)
| ~ spl10_25
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f981,f624]) ).
fof(f7589,plain,
( ~ ssItem(sk7)
| ~ spl10_25
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f7587,f212]) ).
fof(f7591,plain,
( $false
| ~ spl10_25
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f7589,f213]) ).
fof(f7592,plain,
( ~ spl10_25
| ~ spl10_32 ),
inference(avatar_contradiction_clause,[],[f7591]) ).
fof(f7609,plain,
( ~ lt(sk7,sk6)
| ~ ssItem(sk7)
| ~ ssItem(sk6)
| ~ spl10_32 ),
inference(resolution,[],[f624,f117]) ).
fof(f7611,plain,
( ~ lt(sk7,sk6)
| ~ ssItem(sk6)
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f7609,f213]) ).
fof(f7612,plain,
( ~ lt(sk7,sk6)
| ~ spl10_32 ),
inference(forward_subsumption_resolution,[],[f7611,f212]) ).
fof(f7613,plain,
( ~ lt(sk6,sk6)
| ~ spl10_24
| ~ spl10_32 ),
inference(forward_demodulation,[],[f7612,f539]) ).
fof(f7620,plain,
( lt(sk6,sk6)
| ~ spl10_24
| ~ spl10_32 ),
inference(superposition,[],[f624,f539]) ).
fof(f7626,plain,
( $false
| ~ spl10_24
| ~ spl10_32
| spl10_34 ),
inference(forward_subsumption_resolution,[],[f7620,f636]) ).
fof(f7627,plain,
( ~ spl10_24
| ~ spl10_32
| spl10_34 ),
inference(avatar_contradiction_clause,[],[f7626]) ).
fof(f7646,plain,
( $false
| ~ spl10_24
| ~ spl10_32
| ~ spl10_34 ),
inference(forward_subsumption_resolution,[],[f7613,f635]) ).
fof(f7647,plain,
( ~ spl10_24
| ~ spl10_32
| ~ spl10_34 ),
inference(avatar_contradiction_clause,[],[f7646]) ).
cnf(s11,plain,
( spl10_15
| spl10_16 ),
inference(sat_conversion,[],[f350]) ).
cnf(s14,plain,
spl10_9,
inference(sat_conversion,[],[f353]) ).
cnf(s16,plain,
( spl10_18
| ~ spl10_20 ),
inference(sat_conversion,[],[f414]) ).
cnf(s17,plain,
( spl10_20
| ~ spl10_21 ),
inference(sat_conversion,[],[f419]) ).
cnf(s20,plain,
( spl10_24
| spl10_25 ),
inference(sat_conversion,[],[f544]) ).
cnf(s34,plain,
( ~ spl10_9
| spl10_17 ),
inference(sat_conversion,[],[f1417]) ).
cnf(s35,plain,
( ~ spl10_9
| spl10_21 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s77,plain,
~ spl10_47,
inference(sat_conversion,[],[f2770]) ).
cnf(s79,plain,
( ~ spl10_9
| ~ spl10_16
| spl10_72
| spl10_73 ),
inference(sat_conversion,[],[f2895]) ).
cnf(s105,plain,
( spl10_47
| ~ spl10_72 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s158,plain,
( ~ spl10_21
| spl10_47
| ~ spl10_73 ),
inference(sat_conversion,[],[f5480]) ).
cnf(s213,plain,
( ~ spl10_15
| ~ spl10_17
| ~ spl10_18
| ~ spl10_21
| spl10_32 ),
inference(sat_conversion,[],[f7585]) ).
cnf(s214,plain,
( ~ spl10_25
| ~ spl10_32 ),
inference(sat_conversion,[],[f7592]) ).
cnf(s216,plain,
( ~ spl10_24
| ~ spl10_32
| spl10_34 ),
inference(sat_conversion,[],[f7627]) ).
cnf(s220,plain,
( ~ spl10_24
| ~ spl10_32
| ~ spl10_34 ),
inference(sat_conversion,[],[f7647]) ).
cnf(s223,plain,
~ spl10_72,
inference(rat,[],[s105,s77]) ).
cnf(s225,plain,
spl10_21,
inference(rat,[],[s35,s14]) ).
cnf(s226,plain,
spl10_17,
inference(rat,[],[s34,s14]) ).
cnf(s227,plain,
~ spl10_73,
inference(rat,[],[s158,s77,s225]) ).
cnf(s229,plain,
spl10_20,
inference(rat,[],[s17,s225]) ).
cnf(s231,plain,
~ spl10_16,
inference(rat,[],[s79,s14,s223,s227]) ).
cnf(s234,plain,
spl10_18,
inference(rat,[],[s16,s229]) ).
cnf(s236,plain,
spl10_15,
inference(rat,[],[s11,s231]) ).
cnf(s237,plain,
spl10_32,
inference(rat,[],[s213,s234,s225,s226,s236]) ).
cnf(s241,plain,
~ spl10_25,
inference(rat,[],[s214,s237]) ).
cnf(s242,plain,
spl10_24,
inference(rat,[],[s20,s241]) ).
cnf(s243,plain,
~ spl10_34,
inference(rat,[],[s220,s237,s242]) ).
cnf(s244,plain,
$false,
inference(rat,[],[s216,s237,s243,s242]) ).
fof(f7653,plain,
$false,
inference(avatar_sat_refutation,[],[s244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC160-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 08:13:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 6.35/1.88 % (200685)Input is clausal, will run a generic CNF schedule.
% 6.35/1.88 % (200690)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=922309992:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.35/1.88 % (200695)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2905587585:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.35/1.88 % (200696)dis-21_1_sil=8000:lcm=predicate:random_seed=2885927331: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)
% 6.35/1.88 % (200693)lrs+10_1_sil=8000:sp=occurrence:random_seed=2699866735:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.35/1.88 % (200691)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2443978314:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.35/1.88 % (200692)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1060498035:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.35/1.88 % (200694)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4128479361:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.35/1.88 % (200696)Instruction limit reached!
% 6.35/1.88 % (200696)------------------------------
% 6.35/1.88 % (200696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200696)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200696)Termination reason: Instruction limit
% 6.35/1.88 % (200696)Termination phase: Saturation
% 6.35/1.88 % (200696)Time elapsed: 0.055 s
% 6.35/1.88 % (200696)Peak memory usage: 89 MB
% 6.35/1.88 % (200696)Instructions burned: 119 (million)
% 6.35/1.88 % (200694)Instruction limit reached!
% 6.35/1.88 % (200694)------------------------------
% 6.35/1.88 % (200694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200694)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200694)Termination reason: Instruction limit
% 6.35/1.88 % (200694)Termination phase: Saturation
% 6.35/1.88 % (200694)Time elapsed: 0.066 s
% 6.35/1.88 % (200694)Peak memory usage: 89 MB
% 6.35/1.88 % (200694)Instructions burned: 114 (million)
% 6.35/1.88 % (200693)Instruction limit reached!
% 6.35/1.88 % (200693)------------------------------
% 6.35/1.88 % (200693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200693)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200693)Termination reason: Instruction limit
% 6.35/1.88 % (200693)Termination phase: Saturation
% 6.35/1.88 % (200693)Time elapsed: 0.067 s
% 6.35/1.88 % (200693)Peak memory usage: 89 MB
% 6.35/1.88 % (200693)Instructions burned: 108 (million)
% 6.35/1.88 % (200695)Instruction limit reached!
% 6.35/1.88 % (200695)------------------------------
% 6.35/1.88 % (200695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200695)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200695)Termination reason: Instruction limit
% 6.35/1.88 % (200695)Termination phase: Saturation
% 6.35/1.88 % (200695)Time elapsed: 0.122 s
% 6.35/1.88 % (200695)Peak memory usage: 90 MB
% 6.35/1.88 % (200695)Instructions burned: 181 (million)
% 6.35/1.88 % (200704)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=794643845:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.35/1.88 % (200706)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=48028290:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.35/1.88 % (200705)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2753413958: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)
% 6.35/1.88 % (200707)lrs+10_64_to=lpo:sil=8000:random_seed=4011231217:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.35/1.88 % (200704)Instruction limit reached!
% 6.35/1.88 % (200704)------------------------------
% 6.35/1.88 % (200704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200704)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200704)Termination reason: Instruction limit
% 6.35/1.88 % (200704)Termination phase: Saturation
% 6.35/1.88 % (200704)Time elapsed: 0.089 s
% 6.35/1.88 % (200704)Peak memory usage: 90 MB
% 6.35/1.88 % (200704)Instructions burned: 143 (million)
% 6.35/1.88 % (200705)Instruction limit reached!
% 6.35/1.88 % (200705)------------------------------
% 6.35/1.88 % (200705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200705)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200705)Termination reason: Instruction limit
% 6.35/1.88 % (200705)Termination phase: Saturation
% 6.35/1.88 % (200705)Time elapsed: 0.095 s
% 6.35/1.88 % (200705)Peak memory usage: 92 MB
% 6.35/1.88 % (200705)Instructions burned: 189 (million)
% 6.35/1.88 % (200707)Instruction limit reached!
% 6.35/1.88 % (200707)------------------------------
% 6.35/1.88 % (200707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200707)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200707)Termination reason: Instruction limit
% 6.35/1.88 % (200707)Termination phase: Saturation
% 6.35/1.88 % (200707)Time elapsed: 0.065 s
% 6.35/1.88 % (200707)Peak memory usage: 90 MB
% 6.35/1.88 % (200707)Instructions burned: 127 (million)
% 6.35/1.88 % (200706)Instruction limit reached!
% 6.35/1.88 % (200706)------------------------------
% 6.35/1.88 % (200706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200706)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200706)Termination reason: Instruction limit
% 6.35/1.88 % (200706)Termination phase: Saturation
% 6.35/1.88 % (200706)Time elapsed: 0.133 s
% 6.35/1.88 % (200706)Peak memory usage: 90 MB
% 6.35/1.88 % (200706)Instructions burned: 219 (million)
% 6.35/1.88 % (200712)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=385902220:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.35/1.88 % (200713)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2993059953:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.35/1.88 % (200714)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3657755710:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.35/1.88 % (200715)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=671995769:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.35/1.88 % (200713)Instruction limit reached!
% 6.35/1.88 % (200713)------------------------------
% 6.35/1.88 % (200713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200713)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200713)Termination reason: Instruction limit
% 6.35/1.88 % (200713)Termination phase: Saturation
% 6.35/1.88 % (200713)Time elapsed: 0.092 s
% 6.35/1.88 % (200713)Peak memory usage: 91 MB
% 6.35/1.88 % (200713)Instructions burned: 157 (million)
% 6.35/1.88 % (200715)Instruction limit reached!
% 6.35/1.88 % (200715)------------------------------
% 6.35/1.88 % (200715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200715)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200715)Termination reason: Instruction limit
% 6.35/1.88 % (200715)Termination phase: Saturation
% 6.35/1.88 % (200715)Time elapsed: 0.055 s
% 6.35/1.88 % (200715)Peak memory usage: 90 MB
% 6.35/1.88 % (200715)Instructions burned: 108 (million)
% 6.35/1.88 % (200712)Instruction limit reached!
% 6.35/1.88 % (200712)------------------------------
% 6.35/1.88 % (200712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200712)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200712)Termination reason: Instruction limit
% 6.35/1.88 % (200712)Termination phase: Saturation
% 6.35/1.88 % (200712)Time elapsed: 0.117 s
% 6.35/1.88 % (200712)Peak memory usage: 90 MB
% 6.35/1.88 % (200712)Instructions burned: 194 (million)
% 6.35/1.88 % (200720)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3915103166:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.35/1.88 % (200721)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=129854718:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.35/1.88 % (200722)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=743321060:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.35/1.88 % (200720)Instruction limit reached!
% 6.35/1.88 % (200720)------------------------------
% 6.35/1.88 % (200720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200720)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200720)Termination reason: Instruction limit
% 6.35/1.88 % (200720)Termination phase: Saturation
% 6.35/1.88 % (200720)Time elapsed: 0.063 s
% 6.35/1.88 % (200720)Peak memory usage: 90 MB
% 6.35/1.88 % (200720)Instructions burned: 108 (million)
% 6.35/1.88 % (200690)First to succeed.
% 6.35/1.88 % (200690)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-200685"
% 6.35/1.88 % (200721)Instruction limit reached!
% 6.35/1.88 % (200721)------------------------------
% 6.35/1.88 % (200721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.88 % (200721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.88 % (200721)CaDiCaL version: 2.1.3
% 6.35/1.88 % (200721)Termination reason: Instruction limit
% 6.35/1.88 % (200721)Termination phase: Saturation
% 6.35/1.88 % (200721)Time elapsed: 0.156 s
% 6.35/1.88 % (200721)Peak memory usage: 90 MB
% 6.35/1.88 % (200721)Instructions burned: 242 (million)
% 6.35/1.88 % (200726)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2767130316:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 6.35/1.88 % (200690)Refutation found. Thanks to Tanya!
% 6.35/1.88 % SZS status Unsatisfiable for theBenchmark
% 6.35/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 8.02/2.07 % (200690)------------------------------
% 8.02/2.07 % (200690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.02/2.07 % (200690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.02/2.07 % (200690)CaDiCaL version: 2.1.3
% 8.02/2.07 % (200690)Termination reason: Refutation
% 8.02/2.07 % (200690)Time elapsed: 0.795 s
% 8.02/2.07 % (200690)Peak memory usage: 140 MB
% 8.02/2.07 % (200690)Instructions burned: 2030 (million)
% 8.02/2.07 % (200690)------------------------------
% 8.02/2.07 % (200690)------------------------------
% 8.02/2.07 % (200685)Success in time 1.057 s
% 8.02/2.07 % Vampire exiting
%------------------------------------------------------------------------------