%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC418-1 : 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 : n011.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 01:03:54 PM UTC 2026
% Result : Unsatisfiable 3.15s 1.09s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 121 ( 21 unt; 11 def)
% Number of atoms : 371 ( 77 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 477 ( 227 ~; 239 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
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(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] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
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(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk2
| app(app(X2,cons(X0,nil)),X1) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk2 != app(app(X1,cons(X0,nil)),X2)
| sk1 != app(app(X2,cons(X0,nil)),X1) ),
inference(reorient_equations,[],[f207]) ).
fof(f210,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f212,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f213,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f212]) ).
fof(f214,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f213]) ).
fof(f216,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f228,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f229,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[],[f228,f85]) ).
fof(f231,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f232,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f238,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f239,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,definition,
( spl0_4
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f242,plain,
( ~ neq(nil,sk4)
| spl0_4 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,definition,
( spl0_5
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f245,plain,
( ~ ssItem(hd(sk4))
| spl0_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,definition,
( spl0_6
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f248,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,definition,
( spl0_7
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f251,plain,
( ~ ssList(tl(sk4))
| spl0_7 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,definition,
( spl0_8
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f254,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f229,f253,f250,f247,f244,f241,f238]) ).
fof(f258,plain,
neq(sk4,nil),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f259,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_7 ),
inference(resolution,[],[f251,f75]) ).
fof(f262,plain,
( nil = sk4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f259,f203]) ).
fof(f265,plain,
( $false
| spl0_1
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f262,f232]) ).
fof(f266,plain,
( spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f267,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f242,f102]) ).
fof(f270,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f267,f8]) ).
fof(f278,plain,
( nil = sk4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f270,f203]) ).
fof(f279,plain,
( $false
| spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f278,f232]) ).
fof(f280,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f289,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f293,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f258,f239]) ).
fof(f294,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f296,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_5 ),
inference(resolution,[],[f245,f78]) ).
fof(f297,plain,
( nil = sk4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f296,f203]) ).
fof(f299,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f297,f244,f231]) ).
fof(f300,plain,
( neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f258,f289]) ).
fof(f303,plain,
( ~ ssList(nil)
| ~ spl0_1 ),
inference(resolution,[],[f300,f225]) ).
fof(f306,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f303,f8]) ).
fof(f307,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f308,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_6 ),
inference(resolution,[],[f248,f86]) ).
fof(f309,plain,
( ~ ssItem(hd(sk4))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f308,f8]) ).
fof(f310,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f309,f247,f244]) ).
fof(f373,plain,
( ! [X0] :
( app(tl(sk4),app(cons(hd(sk4),nil),X0)) = app(sk3,X0)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(superposition,[],[f161,f254]) ).
fof(f389,definition,
( spl0_22
<=> ! [X0] :
( app(tl(sk4),app(cons(hd(sk4),nil),X0)) = app(sk3,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f390,plain,
( ! [X0] :
( app(tl(sk4),app(cons(hd(sk4),nil),X0)) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( ~ spl0_7
| ~ spl0_6
| spl0_22
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f373,f253,f389,f247,f250]) ).
fof(f413,plain,
! [X2,X0,X1] :
( sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X2,cons(X0,nil)),X1) ),
inference(forward_demodulation,[],[f208,f204]) ).
fof(f414,plain,
! [X2,X0,X1] :
( sk4 != app(app(X1,cons(X0,nil)),X2)
| sk3 != app(app(X2,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(forward_demodulation,[],[f413,f205]) ).
fof(f497,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f414,f74]) ).
fof(f507,plain,
! [X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),nil)
| app(cons(X0,nil),X1) != sk4
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(cons(X0,nil)) ),
inference(forward_subsumption_resolution,[],[f497,f8]) ).
fof(f1768,plain,
( ssItem(hd(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f2311,plain,
( app(tl(sk4),cons(hd(sk4),nil)) = app(sk3,nil)
| ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_22 ),
inference(superposition,[],[f390,f73]) ).
fof(f2364,plain,
( app(tl(sk4),cons(hd(sk4),nil)) = app(sk3,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2311,f8]) ).
fof(f2381,plain,
( sk3 = app(sk3,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_8
| ~ spl0_22 ),
inference(forward_demodulation,[],[f2364,f254]) ).
fof(f2384,definition,
( spl0_163
<=> sk3 = app(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f2385,plain,
( sk3 = app(sk3,nil)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f2386,plain,
( ~ spl0_6
| spl0_163
| ~ spl0_8
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f2381,f389,f253,f2384,f247]) ).
fof(f2863,plain,
( sk3 != app(sk3,nil)
| sk4 != app(cons(hd(sk4),nil),tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_8 ),
inference(superposition,[],[f507,f254]) ).
fof(f2882,plain,
( sk4 != app(cons(hd(sk4),nil),tl(sk4))
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_8
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2863,f2385]) ).
fof(f2884,plain,
( sk4 != app(cons(hd(sk4),nil),tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ spl0_5
| ~ spl0_8
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2882,f1768]) ).
fof(f2886,definition,
( spl0_208
<=> sk4 = app(cons(hd(sk4),nil),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
fof(f2887,plain,
( sk4 != app(cons(hd(sk4),nil),tl(sk4))
| spl0_208 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2888,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_208
| ~ spl0_5
| ~ spl0_8
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2884,f2384,f253,f244,f2886,f250,f247]) ).
fof(f3392,plain,
( sk4 != cons(hd(sk4),tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| spl0_208 ),
inference(superposition,[],[f2887,f126]) ).
fof(f3415,plain,
( sk4 != cons(hd(sk4),tl(sk4))
| ~ ssList(tl(sk4))
| ~ spl0_5
| spl0_208 ),
inference(forward_subsumption_resolution,[],[f3392,f1768]) ).
fof(f3441,definition,
( spl0_242
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
fof(f3442,plain,
( sk4 != cons(hd(sk4),tl(sk4))
| spl0_242 ),
inference(avatar_component_clause,[],[f3441]) ).
fof(f3443,plain,
( ~ spl0_7
| ~ spl0_242
| ~ spl0_5
| spl0_208 ),
inference(avatar_split_clause,[],[f3415,f2886,f244,f3441,f250]) ).
fof(f3876,plain,
( sk4 != sk4
| ~ ssList(sk4)
| nil = sk4
| spl0_242 ),
inference(superposition,[],[f3442,f107]) ).
fof(f3877,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_242 ),
inference(trivial_inequality_removal,[],[f3876]) ).
fof(f3878,plain,
( nil = sk4
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f3877,f203]) ).
fof(f3879,plain,
( $false
| spl0_1
| spl0_242 ),
inference(forward_subsumption_resolution,[],[f3878,f232]) ).
fof(f3880,plain,
( spl0_1
| spl0_242 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f255]) ).
cnf(s4,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f266]) ).
cnf(s6,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s11,plain,
spl0_3,
inference(sat_conversion,[],[f294]) ).
cnf(s12,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f299]) ).
cnf(s15,plain,
~ spl0_1,
inference(sat_conversion,[],[f307]) ).
cnf(s16,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f310]) ).
cnf(s32,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_22 ),
inference(sat_conversion,[],[f391]) ).
cnf(s226,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_22
| spl0_163 ),
inference(sat_conversion,[],[f2386]) ).
cnf(s274,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_163
| ~ spl0_208 ),
inference(sat_conversion,[],[f2888]) ).
cnf(s317,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_208
| ~ spl0_242 ),
inference(sat_conversion,[],[f3443]) ).
cnf(s367,plain,
( spl0_1
| spl0_242 ),
inference(sat_conversion,[],[f3880]) ).
cnf(s368,plain,
spl0_242,
inference(rat,[],[s367,s15]) ).
cnf(s369,plain,
spl0_5,
inference(rat,[],[s12,s15]) ).
cnf(s371,plain,
spl0_6,
inference(rat,[],[s16,s369]) ).
cnf(s372,plain,
spl0_4,
inference(rat,[],[s6,s15]) ).
cnf(s373,plain,
spl0_7,
inference(rat,[],[s4,s15]) ).
cnf(s374,plain,
spl0_208,
inference(rat,[],[s317,s368,s369,s373]) ).
cnf(s377,plain,
spl0_8,
inference(rat,[],[s2,s373,s371,s369,s372,s11]) ).
cnf(s384,plain,
~ spl0_163,
inference(rat,[],[s274,s374,s373,s371,s369,s377]) ).
cnf(s385,plain,
spl0_22,
inference(rat,[],[s32,s373,s371,s377]) ).
cnf(s393,plain,
$false,
inference(rat,[],[s226,s377,s371,s384,s385]) ).
fof(f3881,plain,
$false,
inference(avatar_sat_refutation,[],[s393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC418-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.18 % Computer : n011.cluster.edu
% 0.05/0.18 % Model : x86_64 x86_64
% 0.05/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.18 % Memory : 8046.5625MB
% 0.05/0.18 % OS : Linux 6.8.0-71-generic
% 0.05/0.18 % CPULimit : 300
% 0.05/0.18 % WCLimit : 300
% 0.05/0.18 % DateTime : Mon Sep 28 09:33:31 UTC 2026
% 0.05/0.18 % CPUTime :
% 0.05/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.21 Running first-order theorem proving
% 0.05/0.21 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
% 3.15/1.09 % (3272194)Input is clausal, will run a generic CNF schedule.
% 3.15/1.09 % (3272203)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1806703806:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.15/1.09 % (3272204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3477442340:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.15/1.09 % (3272202)lrs+10_1_sil=8000:sp=occurrence:random_seed=142980009:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.15/1.09 % (3272201)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1038173344:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.15/1.09 % (3272200)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3018102195:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.15/1.09 % (3272199)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=1731654806:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.15/1.09 % (3272203)Instruction limit reached!
% 3.15/1.09 % (3272203)------------------------------
% 3.15/1.09 % (3272203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.09 % (3272203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.09 % (3272203)CaDiCaL version: 2.1.3
% 3.15/1.09 % (3272203)Termination reason: Instruction limit
% 3.15/1.09 % (3272203)Termination phase: Saturation
% 3.15/1.09 % (3272203)Time elapsed: 0.036 s
% 3.15/1.09 % (3272203)Peak memory usage: 89 MB
% 3.15/1.09 % (3272203)Instructions burned: 116 (million)
% 3.15/1.09 % (3272205)dis-21_1_sil=8000:lcm=predicate:random_seed=2332627081: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)
% 3.15/1.09 % (3272202)Instruction limit reached!
% 3.15/1.09 % (3272202)------------------------------
% 3.15/1.09 % (3272202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.09 % (3272202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.09 % (3272202)CaDiCaL version: 2.1.3
% 3.15/1.09 % (3272202)Termination reason: Instruction limit
% 3.15/1.09 % (3272202)Termination phase: Saturation
% 3.15/1.09 % (3272202)Time elapsed: 0.065 s
% 3.15/1.09 % (3272202)Peak memory usage: 89 MB
% 3.15/1.09 % (3272202)Instructions burned: 107 (million)
% 3.15/1.09 % (3272205)Instruction limit reached!
% 3.15/1.09 % (3272205)------------------------------
% 3.15/1.09 % (3272205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.09 % (3272205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.09 % (3272205)CaDiCaL version: 2.1.3
% 3.15/1.09 % (3272205)Termination reason: Instruction limit
% 3.15/1.09 % (3272205)Termination phase: Saturation
% 3.15/1.09 % (3272205)Time elapsed: 0.061 s
% 3.15/1.09 % (3272205)Peak memory usage: 89 MB
% 3.15/1.09 % (3272205)Instructions burned: 117 (million)
% 3.15/1.09 % (3272213)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=429113434:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.15/1.09 % (3272204)Instruction limit reached!
% 3.15/1.09 % (3272204)------------------------------
% 3.15/1.09 % (3272204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.15/1.09 % (3272204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.15/1.09 % (3272204)CaDiCaL version: 2.1.3
% 3.15/1.09 % (3272204)Termination reason: Instruction limit
% 3.15/1.09 % (3272204)Termination phase: Saturation
% 3.15/1.09 % (3272204)Time elapsed: 0.118 s
% 3.15/1.09 % (3272204)Peak memory usage: 90 MB
% 3.15/1.09 % (3272204)Instructions burned: 180 (million)
% 3.15/1.09 % (3272213)First to succeed.
% 3.15/1.09 % (3272213)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3272194"
% 3.15/1.09 % (3272215)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=177395471:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.15/1.09 % (3272214)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=907178544: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)
% 3.15/1.09 % (3272215)Also succeeded, but the first one will report.
% 3.15/1.09 % (3272217)lrs+10_64_to=lpo:sil=8000:random_seed=3130515998:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.15/1.09 % (3272213)Refutation found. Thanks to Tanya!
% 3.15/1.09 % SZS status Unsatisfiable for theBenchmark
% 3.15/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.31 % (3272213)------------------------------
% 3.80/1.31 % (3272213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.31 % (3272213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.31 % (3272213)CaDiCaL version: 2.1.3
% 3.80/1.31 % (3272213)Termination reason: Refutation
% 3.80/1.31 % (3272213)Time elapsed: 0.050 s
% 3.80/1.31 % (3272213)Peak memory usage: 91 MB
% 3.80/1.31 % (3272213)Instructions burned: 144 (million)
% 3.80/1.31 % (3272213)------------------------------
% 3.80/1.31 % (3272213)------------------------------
% 3.80/1.31 % (3272194)Success in time 0.452 s
% 3.80/1.31 % Vampire exiting
%------------------------------------------------------------------------------