%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC315-1 : 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 : n014.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 01:03:26 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.18s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 40
% Syntax : Number of formulae : 156 ( 18 unt; 16 def)
% Number of atoms : 434 ( 84 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 528 ( 250 ~; 262 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 17 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
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(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil = sk2 ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk1 != app(sk6,cons(sk5,nil))
| nil = sk2 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil != sk1 ),
inference(reorient_equations,[],[f215]) ).
fof(f219,negated_conjecture,
( ssItem(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( ssList(sk8)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f221,negated_conjecture,
( app(cons(sk7,nil),sk8) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f222,plain,
( sk4 = app(cons(sk7,nil),sk8)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f221]) ).
fof(f223,negated_conjecture,
( app(sk8,cons(sk7,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f224,plain,
( sk3 = app(sk8,cons(sk7,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f223]) ).
fof(f234,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f251,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f256,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f258,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl0_2
<=> sk3 = app(sk8,cons(sk7,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f262,plain,
( sk3 = app(sk8,cons(sk7,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f224,f260,f256]) ).
fof(f265,definition,
( spl0_3
<=> sk4 = app(cons(sk7,nil),sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f267,plain,
( sk4 = app(cons(sk7,nil),sk8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f222,f265,f256]) ).
fof(f270,definition,
( spl0_4
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f272,plain,
( ssList(sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f270,f256]) ).
fof(f275,definition,
( spl0_5
<=> ssItem(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f277,plain,
( ssItem(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f219,f275,f256]) ).
fof(f280,definition,
( spl0_6
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f284,definition,
( spl0_7
<=> sk1 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f286,plain,
( sk1 != app(sk6,cons(sk5,nil))
| spl0_7 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f289,definition,
( spl0_8
<=> sk2 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f291,plain,
( sk2 = app(cons(sk5,nil),sk6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( ~ spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f216,f289,f280]) ).
fof(f294,definition,
( spl0_9
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f296,plain,
( ssList(sk6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f214,f294,f280]) ).
fof(f299,definition,
( spl0_10
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f302,plain,
( spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f213,f284,f299]) ).
fof(f303,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f211,f289,f299]) ).
fof(f304,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f209,f294,f299]) ).
fof(f306,definition,
( spl0_11
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f308,plain,
( ssItem(sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f208,f306,f280]) ).
fof(f310,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f207,f306,f299]) ).
fof(f312,definition,
( spl0_12
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f314,plain,
( nil != sk4
| spl0_12 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,definition,
( spl0_13
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f318,plain,
( nil = sk3
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f319,plain,
( ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f206,f316,f312]) ).
fof(f325,definition,
( spl0_15
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f326,plain,
( ssList(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f361,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f325]) ).
fof(f364,plain,
( ~ neq(sk2,nil)
| spl0_1 ),
inference(forward_demodulation,[],[f258,f204]) ).
fof(f367,plain,
( nil != sk2
| spl0_12 ),
inference(forward_demodulation,[],[f314,f204]) ).
fof(f370,plain,
( ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f367,f312,f299]) ).
fof(f403,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| nil = sk2
| spl0_1 ),
inference(resolution,[],[f102,f364]) ).
fof(f406,plain,
( ~ ssList(nil)
| nil = sk2
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f403,f201]) ).
fof(f407,plain,
( nil = sk2
| spl0_1
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f406,f326]) ).
fof(f410,plain,
( spl0_10
| spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f407,f325,f256,f299]) ).
fof(f416,plain,
( nil = sk1
| ~ spl0_13 ),
inference(superposition,[],[f318,f205]) ).
fof(f424,plain,
( sk1 = app(sk8,cons(sk7,nil))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f262,f205]) ).
fof(f425,plain,
( sk2 = app(cons(sk7,nil),sk8)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f267,f204]) ).
fof(f467,plain,
( nil != sk2
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_8 ),
inference(superposition,[],[f122,f291]) ).
fof(f552,definition,
( spl0_26
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f554,plain,
( ~ ssList(cons(sk5,nil))
| spl0_26 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f597,plain,
( spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f416,f316,f280]) ).
fof(f598,plain,
( nil != sk2
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f467,f296]) ).
fof(f602,definition,
( spl0_31
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f604,plain,
( nil = cons(sk5,nil)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f605,plain,
( spl0_31
| ~ spl0_26
| ~ spl0_10
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f598,f294,f289,f299,f552,f602]) ).
fof(f630,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_26 ),
inference(resolution,[],[f86,f554]) ).
fof(f633,plain,
( ~ ssItem(sk5)
| ~ spl0_15
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f630,f326]) ).
fof(f634,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f633,f308]) ).
fof(f635,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f668,plain,
( memberP(nil,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_31 ),
inference(superposition,[],[f251,f604]) ).
fof(f676,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f668,f71]) ).
fof(f683,plain,
( ~ ssList(nil)
| ~ spl0_11
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f676,f308]) ).
fof(f686,plain,
( $false
| ~ spl0_11
| ~ spl0_15
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f683,f326]) ).
fof(f687,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f753,plain,
( sk2 = cons(sk5,sk6)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_8 ),
inference(superposition,[],[f291,f126]) ).
fof(f754,plain,
( sk2 = cons(sk7,sk8)
| ~ ssList(sk8)
| ~ ssItem(sk7)
| ~ spl0_3 ),
inference(superposition,[],[f425,f126]) ).
fof(f765,plain,
( sk2 = cons(sk7,sk8)
| ~ ssItem(sk7)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f754,f272]) ).
fof(f766,plain,
( sk2 = cons(sk5,sk6)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f753,f296]) ).
fof(f769,plain,
( sk2 = cons(sk7,sk8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f765,f277]) ).
fof(f770,plain,
( sk2 = cons(sk5,sk6)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f766,f308]) ).
fof(f942,plain,
( sk7 = hd(sk2)
| ~ ssList(sk8)
| ~ ssItem(sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f97,f769]) ).
fof(f943,plain,
( sk8 = tl(sk2)
| ~ ssList(sk8)
| ~ ssItem(sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f96,f769]) ).
fof(f950,plain,
( sk8 = tl(sk2)
| ~ ssItem(sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f943,f272]) ).
fof(f951,plain,
( sk7 = hd(sk2)
| ~ ssItem(sk7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f942,f272]) ).
fof(f954,plain,
( sk8 = tl(sk2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f950,f277]) ).
fof(f955,plain,
( sk7 = hd(sk2)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f951,f277]) ).
fof(f1525,plain,
( sk6 = tl(sk2)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f96,f770]) ).
fof(f1526,plain,
( sk5 = hd(sk2)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f97,f770]) ).
fof(f1548,plain,
( sk5 = hd(sk2)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1526,f296]) ).
fof(f1549,plain,
( sk6 = tl(sk2)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1525,f296]) ).
fof(f1560,plain,
( sk5 = hd(sk2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1548,f308]) ).
fof(f1561,plain,
( sk6 = tl(sk2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1549,f308]) ).
fof(f1677,plain,
( sk5 = sk7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1560,f955]) ).
fof(f1736,plain,
( sk6 = sk8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f1561,f954]) ).
fof(f1777,plain,
( sk1 = app(sk6,cons(sk7,nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f424,f1736]) ).
fof(f1791,plain,
( sk1 = app(sk6,cons(sk5,nil))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1777,f1677]) ).
fof(f1793,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1791,f286]) ).
fof(f1794,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f263]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f268]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f273]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f278]) ).
cnf(s6,plain,
( ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f292]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f297]) ).
cnf(s8,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f302]) ).
cnf(s9,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f303]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f304]) ).
cnf(s11,plain,
( ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f309]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f310]) ).
cnf(s13,plain,
( ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f319]) ).
cnf(s23,plain,
spl0_15,
inference(sat_conversion,[],[f361]) ).
cnf(s26,plain,
( ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f370]) ).
cnf(s28,plain,
( spl0_1
| spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f410]) ).
cnf(s43,plain,
( spl0_6
| ~ spl0_13 ),
inference(sat_conversion,[],[f597]) ).
cnf(s45,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_26
| spl0_31 ),
inference(sat_conversion,[],[f605]) ).
cnf(s48,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_26 ),
inference(sat_conversion,[],[f635]) ).
cnf(s51,plain,
( ~ spl0_11
| ~ spl0_15
| ~ spl0_31 ),
inference(sat_conversion,[],[f687]) ).
cnf(s92,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f1794]) ).
cnf(s97,plain,
~ spl0_10,
inference(rat,[],[s45,s48,s51,s6,s7,s11,s43,s13,s26,s23]) ).
cnf(s99,plain,
spl0_1,
inference(rat,[],[s28,s23,s97]) ).
cnf(s100,plain,
spl0_11,
inference(rat,[],[s12,s97]) ).
cnf(s101,plain,
spl0_9,
inference(rat,[],[s10,s97]) ).
cnf(s102,plain,
spl0_8,
inference(rat,[],[s9,s97]) ).
cnf(s103,plain,
~ spl0_7,
inference(rat,[],[s8,s97]) ).
cnf(s104,plain,
spl0_5,
inference(rat,[],[s4,s99]) ).
cnf(s105,plain,
spl0_4,
inference(rat,[],[s3,s99]) ).
cnf(s106,plain,
spl0_3,
inference(rat,[],[s2,s99]) ).
cnf(s107,plain,
spl0_2,
inference(rat,[],[s1,s99]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s92,s100,s101,s107,s106,s104,s105,s102,s103]) ).
fof(f1795,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC315-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 09:00:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.72/1.18 % (1648909)Input is clausal, will run a generic CNF schedule.
% 2.72/1.18 % (1649057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3400060545:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.18 % (1649052)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3301766601:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.18 % (1649057)First to succeed.
% 2.72/1.18 % (1649057)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1648909"
% 2.72/1.18 % (1649056)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1831301258:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.18 % (1649055)lrs+10_1_sil=8000:sp=occurrence:random_seed=3185294850:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.18 % (1649051)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=3447873865:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.18 % (1649053)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1718331305:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.18 % (1649059)dis-21_1_sil=8000:lcm=predicate:random_seed=398062436: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)
% 2.72/1.18 % (1649055)Instruction limit reached!
% 2.72/1.18 % (1649055)------------------------------
% 2.72/1.18 % (1649055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.18 % (1649055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.18 % (1649055)CaDiCaL version: 2.1.3
% 2.72/1.18 % (1649055)Termination reason: Instruction limit
% 2.72/1.18 % (1649055)Termination phase: Saturation
% 2.72/1.18 % (1649055)Time elapsed: 0.078 s
% 2.72/1.18 % (1649055)Peak memory usage: 90 MB
% 2.72/1.18 % (1649055)Instructions burned: 107 (million)
% 2.72/1.18 % (1649056)Instruction limit reached!
% 2.72/1.18 % (1649056)------------------------------
% 2.72/1.18 % (1649056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.18 % (1649056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.18 % (1649056)CaDiCaL version: 2.1.3
% 2.72/1.18 % (1649056)Termination reason: Instruction limit
% 2.72/1.18 % (1649056)Termination phase: Saturation
% 2.72/1.18 % (1649056)Time elapsed: 0.109 s
% 2.72/1.18 % (1649056)Peak memory usage: 89 MB
% 2.72/1.18 % (1649056)Instructions burned: 114 (million)
% 2.72/1.18 % (1649059)Instruction limit reached!
% 2.72/1.18 % (1649059)------------------------------
% 2.72/1.18 % (1649059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.18 % (1649059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.18 % (1649059)CaDiCaL version: 2.1.3
% 2.72/1.18 % (1649059)Termination reason: Instruction limit
% 2.72/1.18 % (1649059)Termination phase: Saturation
% 2.72/1.18 % (1649059)Time elapsed: 0.094 s
% 2.72/1.18 % (1649059)Peak memory usage: 89 MB
% 2.72/1.18 % (1649059)Instructions burned: 118 (million)
% 2.72/1.18 % (1649057)Refutation found. Thanks to Tanya!
% 2.72/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.46 % (1649057)------------------------------
% 4.09/1.46 % (1649057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.46 % (1649057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.46 % (1649057)CaDiCaL version: 2.1.3
% 4.09/1.46 % (1649057)Termination reason: Refutation
% 4.09/1.46 % (1649057)Time elapsed: 0.034 s
% 4.09/1.46 % (1649057)Peak memory usage: 90 MB
% 4.09/1.46 % (1649057)Instructions burned: 53 (million)
% 4.09/1.46 % (1649057)------------------------------
% 4.09/1.46 % (1649057)------------------------------
% 4.09/1.46 % (1648909)Success in time 0.497 s
% 4.09/1.46 % Vampire exiting
%------------------------------------------------------------------------------