%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC163-1 : 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 01:02:44 PM UTC 2026
% Result : Unsatisfiable 2.99s 1.60s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of formulae : 127 ( 25 unt; 9 def)
% Number of atoms : 368 ( 51 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 486 ( 245 ~; 232 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
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(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
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(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(f199,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ cyclefreeP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk9,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ leq(X1,X0)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ leq(X0,X1) ),
inference(equality_resolution,[],[f199]) ).
fof(f247,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f260,definition,
( spl0_4
<=> sk3 = cons(sk9,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f262,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f260,f247]) ).
fof(f272,definition,
( spl0_6
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f274,plain,
( ssItem(sk9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f214,f272,f247]) ).
fof(f280,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f212,f105]) ).
fof(f281,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f280,f206]) ).
fof(f283,definition,
( spl0_7
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f285,plain,
( sk5 = sk6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f295,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f281,f207]) ).
fof(f296,plain,
spl0_7,
inference(avatar_split_clause,[],[f295,f283]) ).
fof(f297,plain,
( ssList(cons(sk9,nil))
| ~ spl0_4 ),
inference(superposition,[],[f202,f262]) ).
fof(f307,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(sk8) ),
inference(superposition,[],[f211,f161]) ).
fof(f310,plain,
( nil != sk1
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
inference(superposition,[],[f122,f211]) ).
fof(f337,plain,
( nil != sk1
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
inference(forward_subsumption_resolution,[],[f310,f209]) ).
fof(f340,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[],[f307,f209]) ).
fof(f356,plain,
( nil != sk3
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil)) ),
inference(forward_demodulation,[],[f337,f205]) ).
fof(f359,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f340,f285]) ).
fof(f377,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f359,f205]) ).
fof(f394,plain,
( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f377,f262]) ).
fof(f407,definition,
( spl0_11
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f408,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| spl0_11 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f426,plain,
( ~ ssList(cons(sk5,nil))
| cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f394,f285]) ).
fof(f459,definition,
( spl0_20
<=> nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f460,plain,
( nil != app(app(sk7,cons(sk5,nil)),cons(sk5,nil))
| spl0_20 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f464,definition,
( spl0_21
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f465,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_21 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f468,definition,
( spl0_22
<=> cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f470,plain,
( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f472,definition,
( spl0_23
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f473,plain,
( ssList(cons(sk5,nil))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( ~ ssList(cons(sk5,nil))
| spl0_23 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,plain,
( ~ spl0_21
| spl0_22
| ~ spl0_23
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f426,f283,f260,f472,f468,f464]) ).
fof(f498,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_23 ),
inference(resolution,[],[f474,f86]) ).
fof(f499,plain,
( ~ ssItem(sk5)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f498,f8]) ).
fof(f500,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f499,f206]) ).
fof(f501,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f502,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(resolution,[],[f466,f85]) ).
fof(f503,plain,
( ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f502,f208]) ).
fof(f504,plain,
( $false
| spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f503,f473]) ).
fof(f505,plain,
( spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f506,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| spl0_11 ),
inference(resolution,[],[f409,f85]) ).
fof(f510,plain,
( ~ ssList(cons(sk5,nil))
| spl0_11
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f506,f465]) ).
fof(f512,plain,
( $false
| spl0_11
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f510,f473]) ).
fof(f513,plain,
( spl0_11
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f525,plain,
( ~ leq(sk5,sk5)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk5)
| ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ leq(sk5,sk5)
| ~ spl0_11 ),
inference(resolution,[],[f408,f230]) ).
fof(f528,plain,
( ~ leq(sk5,sk5)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f525]) ).
fof(f534,plain,
( ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f528,f62]) ).
fof(f538,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f534,f8]) ).
fof(f541,plain,
( ~ ssItem(sk5)
| ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f538,f208]) ).
fof(f544,plain,
( ~ cyclefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f541,f206]) ).
fof(f547,plain,
( ~ cyclefreeP(nil)
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f544,f461]) ).
fof(f550,plain,
( $false
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f547,f7]) ).
fof(f551,plain,
( ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f593,plain,
( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ ssList(sk8)
| ~ ssItem(sk5)
| ~ spl0_22 ),
inference(superposition,[],[f470,f126]) ).
fof(f627,plain,
( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ ssItem(sk5)
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f593,f209]) ).
fof(f680,plain,
( cons(sk9,nil) = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f627,f206]) ).
fof(f2736,plain,
( ~ ssList(cons(sk9,nil))
| ~ leq(sk5,sk5)
| ~ ssList(sk8)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ leq(sk5,sk5)
| ~ spl0_22 ),
inference(superposition,[],[f230,f680]) ).
fof(f2759,plain,
( ~ ssList(cons(sk9,nil))
| ~ leq(sk5,sk5)
| ~ ssList(sk8)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f2736]) ).
fof(f2780,plain,
( ~ leq(sk5,sk5)
| ~ ssList(sk8)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2759,f297]) ).
fof(f2803,plain,
( ~ ssList(sk8)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2780,f62]) ).
fof(f2825,plain,
( ~ ssList(nil)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2803,f209]) ).
fof(f2846,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2825,f8]) ).
fof(f2864,plain,
( ~ ssItem(sk5)
| ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2846,f208]) ).
fof(f2882,plain,
( ~ cyclefreeP(cons(sk9,nil))
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f2864,f206]) ).
fof(f3068,plain,
( ~ ssItem(sk9)
| ~ spl0_4
| ~ spl0_22 ),
inference(resolution,[],[f2882,f70]) ).
fof(f3069,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f3068,f274]) ).
fof(f3070,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f3069]) ).
fof(f3086,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f356,f249]) ).
fof(f3129,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f3086,f285]) ).
fof(f3159,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f3129,f408]) ).
fof(f3187,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3159,f285]) ).
fof(f3209,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f3187,f460]) ).
fof(f3210,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f3209]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f263]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f275]) ).
cnf(s10,plain,
spl0_7,
inference(sat_conversion,[],[f296]) ).
cnf(s23,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_21
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f476]) ).
cnf(s28,plain,
spl0_23,
inference(sat_conversion,[],[f501]) ).
cnf(s29,plain,
( spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f505]) ).
cnf(s30,plain,
( spl0_11
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f513]) ).
cnf(s31,plain,
( ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f551]) ).
cnf(s176,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_22 ),
inference(sat_conversion,[],[f3070]) ).
cnf(s180,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f3210]) ).
cnf(s232,plain,
spl0_21,
inference(rat,[],[s29,s28]) ).
cnf(s233,plain,
spl0_11,
inference(rat,[],[s30,s28,s232]) ).
cnf(s234,plain,
~ spl0_20,
inference(rat,[],[s31,s233]) ).
cnf(s239,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_22 ),
inference(rat,[],[s23,s28,s232]) ).
cnf(s252,plain,
~ spl0_1,
inference(rat,[],[s180,s234,s233,s10]) ).
cnf(s253,plain,
spl0_6,
inference(rat,[],[s7,s252]) ).
cnf(s256,plain,
spl0_4,
inference(rat,[],[s3,s252]) ).
cnf(s257,plain,
~ spl0_22,
inference(rat,[],[s176,s253,s256]) ).
cnf(s263,plain,
$false,
inference(rat,[],[s239,s10,s257,s256]) ).
fof(f3268,plain,
$false,
inference(avatar_sat_refutation,[],[s263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC163-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 08:15:49 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 2.99/1.60 % (29719)Input is clausal, will run a generic CNF schedule.
% 2.99/1.60 % (29727)lrs+10_1_sil=8000:sp=occurrence:random_seed=2544497673:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.99/1.60 % (29724)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=2021497741:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.99/1.60 % (29726)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2582057006:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.99/1.60 % (29730)dis-21_1_sil=8000:lcm=predicate:random_seed=1542351905: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)
% 2.99/1.60 % (29729)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2617587805:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.99/1.60 % (29725)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=448223763:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.99/1.60 % (29727)Instruction limit reached!
% 2.99/1.60 % (29727)------------------------------
% 2.99/1.60 % (29727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29727)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29727)Termination reason: Instruction limit
% 2.99/1.60 % (29727)Termination phase: Saturation
% 2.99/1.60 % (29727)Time elapsed: 0.037 s
% 2.99/1.60 % (29727)Peak memory usage: 90 MB
% 2.99/1.60 % (29727)Instructions burned: 109 (million)
% 2.99/1.60 % (29728)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2783095981:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.99/1.60 % (29730)Instruction limit reached!
% 2.99/1.60 % (29730)------------------------------
% 2.99/1.60 % (29730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29730)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29730)Termination reason: Instruction limit
% 2.99/1.60 % (29730)Termination phase: Saturation
% 2.99/1.60 % (29730)Time elapsed: 0.065 s
% 2.99/1.60 % (29730)Peak memory usage: 89 MB
% 2.99/1.60 % (29730)Instructions burned: 117 (million)
% 2.99/1.60 % (29728)Instruction limit reached!
% 2.99/1.60 % (29728)------------------------------
% 2.99/1.60 % (29728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29728)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29728)Termination reason: Instruction limit
% 2.99/1.60 % (29728)Termination phase: Saturation
% 2.99/1.60 % (29728)Time elapsed: 0.069 s
% 2.99/1.60 % (29728)Peak memory usage: 89 MB
% 2.99/1.60 % (29728)Instructions burned: 114 (million)
% 2.99/1.60 % (29729)Instruction limit reached!
% 2.99/1.60 % (29729)------------------------------
% 2.99/1.60 % (29729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29729)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29729)Termination reason: Instruction limit
% 2.99/1.60 % (29729)Termination phase: Saturation
% 2.99/1.60 % (29729)Time elapsed: 0.122 s
% 2.99/1.60 % (29729)Peak memory usage: 90 MB
% 2.99/1.60 % (29729)Instructions burned: 181 (million)
% 2.99/1.60 % (29737)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=3385092158:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.99/1.60 % (29737)Instruction limit reached!
% 2.99/1.60 % (29737)------------------------------
% 2.99/1.60 % (29737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29737)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29737)Termination reason: Instruction limit
% 2.99/1.60 % (29737)Termination phase: Saturation
% 2.99/1.60 % (29737)Time elapsed: 0.052 s
% 2.99/1.60 % (29737)Peak memory usage: 90 MB
% 2.99/1.60 % (29737)Instructions burned: 144 (million)
% 2.99/1.60 % (29739)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3442429761: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)
% 2.99/1.60 % (29740)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2293787931:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.99/1.60 % (29742)lrs+10_64_to=lpo:sil=8000:random_seed=1059782403:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 2.99/1.60 % (29740)First to succeed.
% 2.99/1.60 % (29740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29719"
% 2.99/1.60 % (29743)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1234791250:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 2.99/1.60 % (29739)Instruction limit reached!
% 2.99/1.60 % (29739)------------------------------
% 2.99/1.60 % (29739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29739)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29739)Termination reason: Instruction limit
% 2.99/1.60 % (29739)Termination phase: Saturation
% 2.99/1.60 % (29739)Time elapsed: 0.101 s
% 2.99/1.60 % (29739)Peak memory usage: 91 MB
% 2.99/1.60 % (29739)Instructions burned: 190 (million)
% 2.99/1.60 % (29742)Instruction limit reached!
% 2.99/1.60 % (29742)------------------------------
% 2.99/1.60 % (29742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29742)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29742)Termination reason: Instruction limit
% 2.99/1.60 % (29742)Termination phase: Saturation
% 2.99/1.60 % (29742)Time elapsed: 0.066 s
% 2.99/1.60 % (29742)Peak memory usage: 90 MB
% 2.99/1.60 % (29742)Instructions burned: 127 (million)
% 2.99/1.60 % (29743)Instruction limit reached!
% 2.99/1.60 % (29743)------------------------------
% 2.99/1.60 % (29743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29743)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29743)Termination reason: Instruction limit
% 2.99/1.60 % (29743)Termination phase: Saturation
% 2.99/1.60 % (29743)Time elapsed: 0.066 s
% 2.99/1.60 % (29743)Peak memory usage: 90 MB
% 2.99/1.60 % (29743)Instructions burned: 195 (million)
% 2.99/1.60 % (29748)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=836085572:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 2.99/1.60 % (29750)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3068386731:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 2.99/1.60 % (29749)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2281284078:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 2.99/1.60 % (29750)Instruction limit reached!
% 2.99/1.60 % (29750)------------------------------
% 2.99/1.60 % (29750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.60 % (29750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.60 % (29750)CaDiCaL version: 2.1.3
% 2.99/1.60 % (29750)Termination reason: Instruction limit
% 2.99/1.60 % (29750)Termination phase: Saturation
% 2.99/1.60 % (29750)Time elapsed: 0.030 s
% 2.99/1.60 % (29750)Peak memory usage: 90 MB
% 2.99/1.60 % (29750)Instructions burned: 106 (million)
% 2.99/1.60 % (29740)Refutation found. Thanks to Tanya!
% 2.99/1.60 % SZS status Unsatisfiable for theBenchmark
% 2.99/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.80 % (29740)------------------------------
% 5.70/1.80 % (29740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.80 % (29740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.80 % (29740)CaDiCaL version: 2.1.3
% 5.70/1.80 % (29740)Termination reason: Refutation
% 5.70/1.80 % (29740)Time elapsed: 0.061 s
% 5.70/1.80 % (29740)Peak memory usage: 91 MB
% 5.70/1.80 % (29740)Instructions burned: 97 (million)
% 5.70/1.80 % (29740)------------------------------
% 5.70/1.80 % (29740)------------------------------
% 5.70/1.80 % (29719)Success in time 0.73 s
% 5.70/1.80 % Vampire exiting
%------------------------------------------------------------------------------