%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC310-1 : 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 : n018.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 01:03:24 PM UTC 2026
% Result : Unsatisfiable 2.99s 1.13s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 38
% Syntax : Number of formulae : 153 ( 24 unt; 18 def)
% Number of atoms : 444 ( 77 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 551 ( 260 ~; 273 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
! [X2,X3,X0,X1] :
( nil = sk2
| ~ ssList(X0)
| sk1 != X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk2) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk2) != X3
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f241,plain,
! [X2,X3,X1] :
( nil = sk2
| ~ ssList(sk1)
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk2) != X1
| app(X1,X2) != sk1
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk2) != X3
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
inference(equality_resolution,[],[f214]) ).
fof(f242,plain,
! [X2,X3] :
( nil = sk2
| ~ ssList(sk1)
| ~ ssList(tl(sk2))
| ~ ssList(X2)
| sk1 != app(tl(sk2),X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk2) != X3
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
inference(equality_resolution,[],[f241]) ).
fof(f243,plain,
! [X3] :
( nil = sk2
| ~ ssList(sk1)
| ~ ssList(tl(sk2))
| ~ ssList(cons(X3,nil))
| sk1 != app(tl(sk2),cons(X3,nil))
| ~ ssItem(X3)
| hd(sk2) != X3
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
inference(equality_resolution,[],[f242]) ).
fof(f244,plain,
( nil = sk2
| ~ ssList(sk1)
| ~ ssList(tl(sk2))
| ~ ssList(cons(hd(sk2),nil))
| sk1 != app(tl(sk2),cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| ~ neq(nil,sk2) ),
inference(equality_resolution,[],[f243]) ).
fof(f250,plain,
( nil = sk2
| ~ ssList(sk1)
| ~ ssList(tl(sk2))
| ~ ssList(cons(hd(sk2),nil))
| sk1 != app(tl(sk2),cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f258,definition,
( spl0_1
<=> neq(nil,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f260,plain,
( ~ neq(nil,sk2)
| spl0_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl0_2
<=> ssItem(hd(sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f264,plain,
( ~ ssItem(hd(sk2))
| spl0_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl0_3
<=> sk1 = app(tl(sk2),cons(hd(sk2),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f268,plain,
( sk1 != app(tl(sk2),cons(hd(sk2),nil))
| spl0_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl0_4
<=> ssList(cons(hd(sk2),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f272,plain,
( ~ ssList(cons(hd(sk2),nil))
| spl0_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl0_5
<=> ssList(tl(sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f276,plain,
( ~ ssList(tl(sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,definition,
( spl0_6
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f282,definition,
( spl0_7
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f287,definition,
( spl0_8
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f290,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f215,f282,f287]) ).
fof(f292,definition,
( spl0_9
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f293,plain,
( nil != sk2
| spl0_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f250,f292,f278,f274,f270,f266,f262,f258]) ).
fof(f296,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f213,f292,f287]) ).
fof(f298,definition,
( spl0_10
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f300,plain,
( ~ neq(sk4,nil)
| spl0_10 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl0_11
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f304,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f212,f302,f298]) ).
fof(f307,definition,
( spl0_12
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f309,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f210,f307,f298]) ).
fof(f312,definition,
( spl0_13
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f314,plain,
( ssList(sk6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f208,f312,f298]) ).
fof(f317,definition,
( spl0_14
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f319,plain,
( ssItem(sk5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,plain,
( ~ spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f207,f317,f298]) ).
fof(f322,definition,
( spl0_15
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f324,plain,
( nil != sk4
| spl0_15 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,definition,
( spl0_16
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f328,plain,
( nil = sk3
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f329,plain,
( ~ spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f206,f326,f322]) ).
fof(f330,plain,
spl0_6,
inference(avatar_split_clause,[],[f200,f278]) ).
fof(f336,definition,
( spl0_18
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f337,plain,
( ssList(nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f372,plain,
spl0_18,
inference(avatar_split_clause,[],[f8,f336]) ).
fof(f375,plain,
( ~ neq(sk2,nil)
| spl0_10 ),
inference(forward_demodulation,[],[f300,f204]) ).
fof(f378,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f375,f298,f287]) ).
fof(f383,plain,
( nil != sk2
| spl0_15 ),
inference(forward_demodulation,[],[f324,f204]) ).
fof(f387,plain,
( sk1 = app(sk6,cons(sk5,nil))
| ~ spl0_11 ),
inference(forward_demodulation,[],[f304,f205]) ).
fof(f388,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f309,f204]) ).
fof(f389,plain,
( ~ spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f383,f322,f292]) ).
fof(f424,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| nil = sk2
| spl0_1 ),
inference(resolution,[],[f102,f260]) ).
fof(f427,plain,
( ~ ssList(sk2)
| nil = sk2
| spl0_1
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f424,f337]) ).
fof(f428,plain,
( nil = sk2
| spl0_1
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f427,f201]) ).
fof(f431,plain,
( spl0_9
| spl0_1
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f428,f336,f258,f292]) ).
fof(f444,plain,
( nil = sk1
| ~ spl0_16 ),
inference(superposition,[],[f328,f205]) ).
fof(f459,plain,
( ~ ssList(sk2)
| nil = sk2
| spl0_5 ),
inference(resolution,[],[f276,f75]) ).
fof(f460,plain,
( nil = sk2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f459,f201]) ).
fof(f461,plain,
( $false
| spl0_5
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f460,f293]) ).
fof(f462,plain,
( spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f587,plain,
( sk2 = cons(sk5,sk6)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_12 ),
inference(superposition,[],[f388,f126]) ).
fof(f594,plain,
( sk2 = cons(sk5,sk6)
| ~ ssItem(sk5)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f587,f314]) ).
fof(f596,plain,
( sk2 = cons(sk5,sk6)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f594,f319]) ).
fof(f598,plain,
( sk5 = hd(sk2)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f97,f596]) ).
fof(f599,plain,
( sk6 = tl(sk2)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f96,f596]) ).
fof(f602,plain,
( nil != sk2
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f99,f596]) ).
fof(f606,plain,
( sk6 = tl(sk2)
| ~ ssItem(sk5)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f599,f314]) ).
fof(f607,plain,
( sk5 = hd(sk2)
| ~ ssItem(sk5)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f598,f314]) ).
fof(f610,plain,
( sk6 = tl(sk2)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f606,f319]) ).
fof(f611,plain,
( sk5 = hd(sk2)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f607,f319]) ).
fof(f632,definition,
( spl0_26
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f633,plain,
( ssList(cons(sk5,nil))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ ssList(cons(sk5,nil))
| spl0_26 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f645,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_26 ),
inference(resolution,[],[f634,f86]) ).
fof(f646,plain,
( ~ ssItem(sk5)
| ~ spl0_18
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f645,f337]) ).
fof(f647,plain,
( $false
| ~ spl0_14
| ~ spl0_18
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f646,f319]) ).
fof(f648,plain,
( ~ spl0_14
| ~ spl0_18
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f650,plain,
( spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f444,f326,f282]) ).
fof(f653,plain,
( nil != sk2
| ~ ssList(sk6)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f602,f319]) ).
fof(f671,plain,
( nil != sk2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f653,f314]) ).
fof(f674,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f671,f317,f312,f307,f292]) ).
fof(f741,plain,
( sk1 != app(tl(sk2),cons(sk5,nil))
| spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f268,f611]) ).
fof(f746,plain,
( sk1 != app(sk6,cons(sk5,nil))
| spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f741,f610]) ).
fof(f748,plain,
( $false
| spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f746,f387]) ).
fof(f749,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f751,plain,
( ~ ssItem(sk5)
| spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f264,f611]) ).
fof(f753,plain,
( $false
| spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f751,f319]) ).
fof(f754,plain,
( spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f757,plain,
( ~ ssList(cons(sk5,nil))
| spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f272,f611]) ).
fof(f758,plain,
( $false
| spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f757,f633]) ).
fof(f759,plain,
( spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f758]) ).
cnf(s2,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f290]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f295]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f296]) ).
cnf(s5,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f305]) ).
cnf(s6,plain,
( ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f310]) ).
cnf(s7,plain,
( ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f315]) ).
cnf(s8,plain,
( ~ spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f320]) ).
cnf(s9,plain,
( ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f329]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f330]) ).
cnf(s20,plain,
spl0_18,
inference(sat_conversion,[],[f372]) ).
cnf(s22,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f378]) ).
cnf(s25,plain,
( ~ spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f389]) ).
cnf(s28,plain,
( spl0_1
| spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f431]) ).
cnf(s38,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f462]) ).
cnf(s42,plain,
( ~ spl0_14
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f648]) ).
cnf(s45,plain,
( spl0_7
| ~ spl0_16 ),
inference(sat_conversion,[],[f650]) ).
cnf(s52,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f674]) ).
cnf(s59,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f749]) ).
cnf(s60,plain,
( spl0_2
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f754]) ).
cnf(s61,plain,
( spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_26 ),
inference(sat_conversion,[],[f759]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(rat,[],[s3,s10]) ).
cnf(s68,plain,
~ spl0_9,
inference(rat,[],[s52,s6,s7,s8,s22,s2,s45,s9,s25]) ).
cnf(s70,plain,
spl0_5,
inference(rat,[],[s38,s68]) ).
cnf(s71,plain,
spl0_1,
inference(rat,[],[s28,s20,s68]) ).
cnf(s72,plain,
spl0_8,
inference(rat,[],[s4,s68]) ).
cnf(s73,plain,
spl0_10,
inference(rat,[],[s22,s72]) ).
cnf(s74,plain,
spl0_14,
inference(rat,[],[s8,s73]) ).
cnf(s75,plain,
spl0_13,
inference(rat,[],[s7,s73]) ).
cnf(s76,plain,
spl0_12,
inference(rat,[],[s6,s73]) ).
cnf(s77,plain,
spl0_11,
inference(rat,[],[s5,s73]) ).
cnf(s78,plain,
spl0_26,
inference(rat,[],[s42,s20,s74]) ).
cnf(s79,plain,
spl0_4,
inference(rat,[],[s61,s78,s74,s75,s76]) ).
cnf(s80,plain,
spl0_2,
inference(rat,[],[s60,s74,s75,s76]) ).
cnf(s84,plain,
spl0_3,
inference(rat,[],[s59,s74,s75,s76,s77]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s66,s70,s68,s80,s71,s79,s84]) ).
fof(f760,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC310-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:02:55 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.99/1.13 % (3240860)Input is clausal, will run a generic CNF schedule.
% 2.99/1.13 % (3240869)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3176369821:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.99/1.13 % (3240869)Instruction limit reached!
% 2.99/1.13 % (3240869)------------------------------
% 2.99/1.13 % (3240869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.13 % (3240869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.13 % (3240869)CaDiCaL version: 2.1.3
% 2.99/1.13 % (3240869)Termination reason: Instruction limit
% 2.99/1.13 % (3240869)Termination phase: Saturation
% 2.99/1.13 % (3240869)Time elapsed: 0.038 s
% 2.99/1.13 % (3240869)Peak memory usage: 89 MB
% 2.99/1.13 % (3240869)Instructions burned: 116 (million)
% 2.99/1.13 % (3240867)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3961904335:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.99/1.13 % (3240865)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=3771560376:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.99/1.13 % (3240866)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1455658283:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.99/1.13 % (3240868)lrs+10_1_sil=8000:sp=occurrence:random_seed=1916108839:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.99/1.13 % (3240871)dis-21_1_sil=8000:lcm=predicate:random_seed=2031661944: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)
% 2.99/1.13 % (3240870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2488361195:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.99/1.13 % (3240870)First to succeed.
% 2.99/1.13 % (3240870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3240860"
% 2.99/1.13 % (3240868)Also succeeded, but the first one will report.
% 2.99/1.13 % (3240871)Instruction limit reached!
% 2.99/1.13 % (3240871)------------------------------
% 2.99/1.13 % (3240871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.13 % (3240871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.13 % (3240871)CaDiCaL version: 2.1.3
% 2.99/1.13 % (3240871)Termination reason: Instruction limit
% 2.99/1.13 % (3240871)Termination phase: Saturation
% 2.99/1.13 % (3240871)Time elapsed: 0.066 s
% 2.99/1.13 % (3240871)Peak memory usage: 90 MB
% 2.99/1.13 % (3240871)Instructions burned: 118 (million)
% 2.99/1.13 % (3240873)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=202308394:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.99/1.13 % (3240873)Also succeeded, but the first one will report.
% 2.99/1.13 % (3240880)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3518277229: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)
% 2.99/1.13 % (3240870)Refutation found. Thanks to Tanya!
% 2.99/1.13 % SZS status Unsatisfiable for theBenchmark
% 2.99/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.35 % (3240870)------------------------------
% 3.88/1.35 % (3240870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.35 % (3240870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.35 % (3240870)CaDiCaL version: 2.1.3
% 3.88/1.35 % (3240870)Termination reason: Refutation
% 3.88/1.35 % (3240870)Time elapsed: 0.018 s
% 3.88/1.35 % (3240870)Peak memory usage: 90 MB
% 3.88/1.35 % (3240870)Instructions burned: 24 (million)
% 3.88/1.35 % (3240870)------------------------------
% 3.88/1.35 % (3240870)------------------------------
% 3.88/1.35 % (3240860)Success in time 0.461 s
% 3.88/1.35 % Vampire exiting
%------------------------------------------------------------------------------