%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC316-1 : 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 : n020.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 2.96s 1.12s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 153 ( 28 unt; 17 def)
% Number of atoms : 476 ( 73 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 621 ( 298 ~; 306 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
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(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(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(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f215,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f217]) ).
fof(f219,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk2 != X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk1) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk1) != X3
| ~ neq(nil,sk1)
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f250,plain,
! [X2,X3,X1] :
( ~ ssList(sk2)
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk1) != X1
| app(X1,X2) != sk2
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk1) != X3
| ~ neq(nil,sk1)
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f221]) ).
fof(f251,plain,
! [X2,X3] :
( ~ ssList(sk2)
| ~ ssList(tl(sk1))
| ~ ssList(X2)
| sk2 != app(tl(sk1),X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk1) != X3
| ~ neq(nil,sk1)
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f250]) ).
fof(f252,plain,
! [X3] :
( ~ ssList(sk2)
| ~ ssList(tl(sk1))
| ~ ssList(cons(X3,nil))
| sk2 != app(tl(sk1),cons(X3,nil))
| ~ ssItem(X3)
| hd(sk1) != X3
| ~ neq(nil,sk1)
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f251]) ).
fof(f253,plain,
( ~ ssList(sk2)
| ~ ssList(tl(sk1))
| ~ ssList(cons(hd(sk1),nil))
| sk2 != app(tl(sk1),cons(hd(sk1),nil))
| ~ ssItem(hd(sk1))
| ~ neq(nil,sk1)
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f252]) ).
fof(f254,plain,
( ~ ssList(sk2)
| ~ ssList(tl(sk1))
| ~ ssList(cons(hd(sk1),nil))
| sk2 != app(tl(sk1),cons(hd(sk1),nil))
| ~ ssItem(hd(sk1))
| ~ neq(nil,sk1)
| ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f256,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f264,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f266,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_2
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f270,plain,
( ~ neq(sk1,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_3
<=> neq(nil,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f274,plain,
( ~ neq(nil,sk1)
| spl0_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f276,definition,
( spl0_4
<=> ssItem(hd(sk1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f278,plain,
( ~ ssItem(hd(sk1))
| spl0_4 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f280,definition,
( spl0_5
<=> sk2 = app(tl(sk1),cons(hd(sk1),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f282,plain,
( sk2 != app(tl(sk1),cons(hd(sk1),nil))
| spl0_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_6
<=> ssList(cons(hd(sk1),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f286,plain,
( ~ ssList(cons(hd(sk1),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl0_7
<=> ssList(tl(sk1)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f290,plain,
( ~ ssList(tl(sk1))
| spl0_7 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl0_8
<=> ssList(sk2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f295,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f254,f292,f288,f284,f280,f276,f272,f268,f264]) ).
fof(f297,definition,
( spl0_9
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f299,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( ~ spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f220,f297,f264]) ).
fof(f302,definition,
( spl0_10
<=> sk3 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f304,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f218,f302,f264]) ).
fof(f307,definition,
( spl0_11
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f309,plain,
( ssList(sk6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f216,f307,f264]) ).
fof(f312,definition,
( spl0_12
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f314,plain,
( ssItem(sk5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( ~ spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f215,f312,f264]) ).
fof(f317,definition,
( spl0_13
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f326,plain,
spl0_13,
inference(avatar_split_clause,[],[f256,f317]) ).
fof(f327,plain,
spl0_8,
inference(avatar_split_clause,[],[f201,f292]) ).
fof(f333,definition,
( spl0_15
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f334,plain,
( ssList(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f369,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f333]) ).
fof(f372,plain,
( ~ neq(sk2,nil)
| spl0_1 ),
inference(forward_demodulation,[],[f266,f204]) ).
fof(f373,plain,
( ~ spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f372,f264,f317]) ).
fof(f375,plain,
( sk2 = app(sk6,cons(sk5,nil))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f299,f204]) ).
fof(f376,plain,
( sk1 = app(cons(sk5,nil),sk6)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f304,f205]) ).
fof(f411,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| nil = sk1
| spl0_2 ),
inference(resolution,[],[f102,f270]) ).
fof(f414,plain,
( ~ ssList(nil)
| nil = sk1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f411,f200]) ).
fof(f415,plain,
( nil = sk1
| spl0_2
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f414,f334]) ).
fof(f456,plain,
( nil != sk1
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_10 ),
inference(superposition,[],[f122,f376]) ).
fof(f460,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f456,f415]) ).
fof(f466,definition,
( spl0_24
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f467,plain,
( ssList(cons(sk5,nil))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( ~ ssList(cons(sk5,nil))
| spl0_24 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f474,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f460,f309]) ).
fof(f476,definition,
( spl0_26
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f478,plain,
( nil = cons(sk5,nil)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl0_26
| ~ spl0_24
| spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f474,f333,f307,f302,f268,f466,f476]) ).
fof(f501,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_24 ),
inference(resolution,[],[f86,f468]) ).
fof(f504,plain,
( ~ ssItem(sk5)
| ~ spl0_15
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f501,f334]) ).
fof(f505,plain,
( $false
| ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f504,f314]) ).
fof(f506,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f525,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_26 ),
inference(superposition,[],[f100,f478]) ).
fof(f529,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f525]) ).
fof(f531,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f529,f314]) ).
fof(f535,plain,
( $false
| ~ spl0_12
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f531,f334]) ).
fof(f536,plain,
( ~ spl0_12
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f537,plain,
( nil != sk1
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f456,f309]) ).
fof(f538,plain,
( nil != sk1
| nil = cons(sk5,nil)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f537,f467]) ).
fof(f540,definition,
( spl0_27
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f543,plain,
( spl0_26
| ~ spl0_27
| ~ spl0_10
| ~ spl0_11
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f538,f466,f307,f302,f540,f476]) ).
fof(f544,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| nil = sk1
| spl0_3 ),
inference(resolution,[],[f274,f102]) ).
fof(f545,plain,
( ~ ssList(sk1)
| nil = sk1
| spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f544,f334]) ).
fof(f546,plain,
( nil = sk1
| spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f545,f200]) ).
fof(f547,plain,
( spl0_27
| spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f546,f333,f272,f540]) ).
fof(f548,plain,
( ~ ssList(sk1)
| nil = sk1
| spl0_4 ),
inference(resolution,[],[f278,f76]) ).
fof(f549,plain,
( nil = sk1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f548,f200]) ).
fof(f550,plain,
( spl0_27
| spl0_4 ),
inference(avatar_split_clause,[],[f549,f276,f540]) ).
fof(f592,plain,
( sk1 = cons(sk5,sk6)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_10 ),
inference(superposition,[],[f376,f126]) ).
fof(f599,plain,
( sk1 = cons(sk5,sk6)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f592,f309]) ).
fof(f601,plain,
( sk1 = cons(sk5,sk6)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f599,f314]) ).
fof(f603,plain,
( sk5 = hd(sk1)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f97,f601]) ).
fof(f604,plain,
( sk6 = tl(sk1)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f96,f601]) ).
fof(f611,plain,
( sk6 = tl(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f604,f309]) ).
fof(f612,plain,
( sk5 = hd(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f603,f309]) ).
fof(f615,plain,
( sk6 = tl(sk1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f611,f314]) ).
fof(f616,plain,
( sk5 = hd(sk1)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f612,f314]) ).
fof(f639,plain,
( sk2 != app(tl(sk1),cons(sk5,nil))
| spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f282,f616]) ).
fof(f644,plain,
( sk2 != app(sk6,cons(sk5,nil))
| spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f639,f615]) ).
fof(f646,plain,
( $false
| spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f644,f375]) ).
fof(f647,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f650,plain,
( ~ ssList(cons(sk5,nil))
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f286,f616]) ).
fof(f652,plain,
( $false
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f650,f467]) ).
fof(f653,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f655,plain,
( ~ ssList(sk6)
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f290,f615]) ).
fof(f656,plain,
( $false
| spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f655,f309]) ).
fof(f657,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f656]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f295]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f300]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_10 ),
inference(sat_conversion,[],[f305]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_11 ),
inference(sat_conversion,[],[f310]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f315]) ).
cnf(s12,plain,
spl0_13,
inference(sat_conversion,[],[f326]) ).
cnf(s13,plain,
spl0_8,
inference(sat_conversion,[],[f327]) ).
cnf(s23,plain,
spl0_15,
inference(sat_conversion,[],[f369]) ).
cnf(s24,plain,
( spl0_1
| ~ spl0_13 ),
inference(sat_conversion,[],[f373]) ).
cnf(s27,plain,
( spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_24
| spl0_26 ),
inference(sat_conversion,[],[f479]) ).
cnf(s29,plain,
( ~ spl0_12
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f506]) ).
cnf(s31,plain,
( ~ spl0_12
| ~ spl0_15
| ~ spl0_26 ),
inference(sat_conversion,[],[f536]) ).
cnf(s32,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_24
| spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f543]) ).
cnf(s33,plain,
( spl0_3
| ~ spl0_15
| spl0_27 ),
inference(sat_conversion,[],[f547]) ).
cnf(s34,plain,
( spl0_4
| spl0_27 ),
inference(sat_conversion,[],[f550]) ).
cnf(s35,plain,
( spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f647]) ).
cnf(s36,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_24 ),
inference(sat_conversion,[],[f653]) ).
cnf(s37,plain,
( spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f657]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s24,s12]) ).
cnf(s43,plain,
spl0_12,
inference(rat,[],[s5,s42]) ).
cnf(s44,plain,
~ spl0_26,
inference(rat,[],[s31,s23,s43]) ).
cnf(s45,plain,
spl0_24,
inference(rat,[],[s29,s23,s43]) ).
cnf(s46,plain,
spl0_11,
inference(rat,[],[s4,s42]) ).
cnf(s47,plain,
spl0_10,
inference(rat,[],[s3,s42]) ).
cnf(s48,plain,
spl0_7,
inference(rat,[],[s37,s43,s46,s47]) ).
cnf(s49,plain,
spl0_6,
inference(rat,[],[s36,s45,s43,s46,s47]) ).
cnf(s50,plain,
~ spl0_27,
inference(rat,[],[s32,s46,s44,s45,s47]) ).
cnf(s51,plain,
spl0_2,
inference(rat,[],[s27,s44,s45,s23,s46,s47]) ).
cnf(s52,plain,
spl0_4,
inference(rat,[],[s34,s50]) ).
cnf(s53,plain,
spl0_3,
inference(rat,[],[s33,s23,s50]) ).
cnf(s54,plain,
spl0_9,
inference(rat,[],[s2,s42]) ).
cnf(s55,plain,
spl0_5,
inference(rat,[],[s35,s43,s46,s47,s54]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s1,s13,s48,s49,s55,s52,s53,s51,s42]) ).
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC316-1 : 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 : n020.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 09:02:19 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
% 2.96/1.12 % (43827)Input is clausal, will run a generic CNF schedule.
% 2.96/1.12 % (43836)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1761743539:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.96/1.12 % (43838)dis-21_1_sil=8000:lcm=predicate:random_seed=4267344466: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)
% 2.96/1.12 % (43833)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4216442638:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.96/1.12 % (43835)lrs+10_1_sil=8000:sp=occurrence:random_seed=2730859139:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.96/1.12 % (43837)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1779357469:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.96/1.12 % (43832)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=4108459558:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.96/1.12 % (43834)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2677184612:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.96/1.12 % (43836)Instruction limit reached!
% 2.96/1.12 % (43836)------------------------------
% 2.96/1.12 % (43836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (43836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (43836)CaDiCaL version: 2.1.3
% 2.96/1.12 % (43836)Termination reason: Instruction limit
% 2.96/1.12 % (43836)Termination phase: Saturation
% 2.96/1.12 % (43836)Time elapsed: 0.038 s
% 2.96/1.12 % (43836)Peak memory usage: 89 MB
% 2.96/1.12 % (43836)Instructions burned: 117 (million)
% 2.96/1.12 % (43837)First to succeed.
% 2.96/1.12 % (43837)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-43827"
% 2.96/1.12 % (43835)Also succeeded, but the first one will report.
% 2.96/1.12 % (43838)Instruction limit reached!
% 2.96/1.12 % (43838)------------------------------
% 2.96/1.12 % (43838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.12 % (43838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.12 % (43838)CaDiCaL version: 2.1.3
% 2.96/1.12 % (43838)Termination reason: Instruction limit
% 2.96/1.12 % (43838)Termination phase: Saturation
% 2.96/1.12 % (43838)Time elapsed: 0.062 s
% 2.96/1.12 % (43838)Peak memory usage: 89 MB
% 2.96/1.12 % (43838)Instructions burned: 117 (million)
% 2.96/1.12 % (43846)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=2783453698:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.96/1.12 % (43846)Also succeeded, but the first one will report.
% 2.96/1.12 % (43847)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4253163195: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)
% 2.96/1.12 % (43847)Also succeeded, but the first one will report.
% 2.96/1.12 % (43837)Refutation found. Thanks to Tanya!
% 2.96/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.96/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.31 % (43837)------------------------------
% 3.84/1.31 % (43837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.31 % (43837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.31 % (43837)CaDiCaL version: 2.1.3
% 3.84/1.31 % (43837)Termination reason: Refutation
% 3.84/1.31 % (43837)Time elapsed: 0.015 s
% 3.84/1.31 % (43837)Peak memory usage: 89 MB
% 3.84/1.31 % (43837)Instructions burned: 20 (million)
% 3.84/1.31 % (43837)------------------------------
% 3.84/1.31 % (43837)------------------------------
% 3.84/1.31 % (43827)Success in time 0.453 s
% 3.84/1.31 % Vampire exiting
%------------------------------------------------------------------------------