%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC188-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:02:51 PM UTC 2026
% Result : Unsatisfiable 2.55s 1.31s
% Output : Refutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 105 ( 21 unt; 7 def)
% Number of atoms : 383 ( 30 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 545 ( 267 ~; 271 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/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,
sk5 != sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f219,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk9,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f225,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f228,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f233,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f235,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f246,definition,
( spl0_4
<=> sk3 = cons(sk9,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f248,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f246,f233]) ).
fof(f258,definition,
( spl0_6
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f260,plain,
( ssItem(sk9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f214,f258,f233]) ).
fof(f336,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(superposition,[],[f151,f225]) ).
fof(f344,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f336,f209]) ).
fof(f346,definition,
( spl0_7
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f347,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| spl0_7 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl0_8
<=> ! [X0] :
( memberP(sk3,X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f351,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f344,f350,f346]) ).
fof(f600,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f174,f248]) ).
fof(f603,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f600,f71]) ).
fof(f604,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f603,f8]) ).
fof(f605,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f604,f260]) ).
fof(f673,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| spl0_7 ),
inference(resolution,[],[f348,f85]) ).
fof(f675,definition,
( spl0_14
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f676,plain,
( ssList(cons(sk6,nil))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( ~ ssList(cons(sk6,nil))
| spl0_14 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl0_15
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f680,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_15 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f673,f346,f679,f675]) ).
fof(f683,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_14 ),
inference(resolution,[],[f677,f86]) ).
fof(f684,plain,
( ~ ssItem(sk6)
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f683,f8]) ).
fof(f685,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f684,f207]) ).
fof(f686,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f715,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(resolution,[],[f681,f85]) ).
fof(f716,plain,
( ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f715,f208]) ).
fof(f723,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_15 ),
inference(resolution,[],[f716,f86]) ).
fof(f724,plain,
( ~ ssItem(sk5)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f723,f8]) ).
fof(f725,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f724,f206]) ).
fof(f726,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f1012,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_8 ),
inference(resolution,[],[f351,f151]) ).
fof(f1013,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(resolution,[],[f351,f228]) ).
fof(f1014,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1013]) ).
fof(f1015,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f1012]) ).
fof(f1017,plain,
( memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1014,f207]) ).
fof(f1018,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ memberP(app(sk7,cons(sk5,nil)),X0) )
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1015,f676]) ).
fof(f1020,plain,
( memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1017,f680]) ).
fof(f1021,plain,
( ! [X0] :
( ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1018,f680]) ).
fof(f1023,plain,
( memberP(sk3,sk6)
| ~ ssList(nil)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1020,f347]) ).
fof(f1024,plain,
( memberP(sk3,sk6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1023,f8]) ).
fof(f1025,plain,
( ~ ssItem(sk6)
| sk6 = sk9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f1024,f605]) ).
fof(f1026,plain,
( sk6 = sk9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1025,f207]) ).
fof(f1028,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f248,f1026]) ).
fof(f1258,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f174,f1028]) ).
fof(f1269,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1258,f71]) ).
fof(f1272,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1269,f8]) ).
fof(f1273,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1272,f207]) ).
fof(f2387,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f1021,f228]) ).
fof(f2388,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f2387]) ).
fof(f2391,plain,
( memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2388,f206]) ).
fof(f2394,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2391,f208]) ).
fof(f2397,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2394,f680]) ).
fof(f2398,plain,
( memberP(sk3,sk5)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2397,f8]) ).
fof(f2399,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f2398,f1273]) ).
fof(f2402,plain,
( sk5 = sk6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2399,f206]) ).
fof(f2403,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2402,f212]) ).
fof(f2404,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2553,plain,
( memberP(nil,sk6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f1024,f235]) ).
fof(f2644,plain,
( ~ ssItem(sk6)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f2553,f71]) ).
fof(f2645,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f2644,f207]) ).
fof(f2646,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f249]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f261]) ).
cnf(s10,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f352]) ).
cnf(s17,plain,
( spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f682]) ).
cnf(s18,plain,
spl0_14,
inference(sat_conversion,[],[f686]) ).
cnf(s19,plain,
spl0_15,
inference(sat_conversion,[],[f726]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f2404]) ).
cnf(s72,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s80,plain,
spl0_7,
inference(rat,[],[s17,s19,s18]) ).
cnf(s81,plain,
spl0_8,
inference(rat,[],[s10,s80]) ).
cnf(s82,plain,
~ spl0_1,
inference(rat,[],[s72,s19,s80,s81]) ).
cnf(s84,plain,
spl0_6,
inference(rat,[],[s7,s82]) ).
cnf(s85,plain,
~ spl0_4,
inference(rat,[],[s58,s19,s18,s81,s80,s84]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s3,s85,s82]) ).
fof(f2647,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC188-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:24:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/1.31 % (3694323)Input is clausal, will run a generic CNF schedule.
% 2.55/1.31 % (3694328)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=3882551628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.31 % (3694329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3165665019:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.31 % (3694332)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=420278228:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.31 % (3694334)dis-21_1_sil=8000:lcm=predicate:random_seed=3774627758: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)
% 2.55/1.31 % (3694331)lrs+10_1_sil=8000:sp=occurrence:random_seed=3295313849:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.31 % (3694330)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1292812405:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.31 % (3694333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3414655193:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.31 % (3694331)First to succeed.
% 2.55/1.31 % (3694331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3694323"
% 2.55/1.31 % (3694334)Instruction limit reached!
% 2.55/1.31 % (3694334)------------------------------
% 2.55/1.31 % (3694334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (3694334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (3694334)CaDiCaL version: 2.1.3
% 2.55/1.31 % (3694334)Termination reason: Instruction limit
% 2.55/1.31 % (3694334)Termination phase: Saturation
% 2.55/1.31 % (3694334)Time elapsed: 0.055 s
% 2.55/1.31 % (3694334)Peak memory usage: 89 MB
% 2.55/1.31 % (3694334)Instructions burned: 119 (million)
% 2.55/1.31 % (3694332)Instruction limit reached!
% 2.55/1.31 % (3694332)------------------------------
% 2.55/1.31 % (3694332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (3694332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (3694332)CaDiCaL version: 2.1.3
% 2.55/1.31 % (3694332)Termination reason: Instruction limit
% 2.55/1.31 % (3694332)Termination phase: Saturation
% 2.55/1.31 % (3694332)Time elapsed: 0.069 s
% 2.55/1.31 % (3694332)Peak memory usage: 89 MB
% 2.55/1.31 % (3694332)Instructions burned: 114 (million)
% 2.55/1.31 % (3694333)Instruction limit reached!
% 2.55/1.31 % (3694333)------------------------------
% 2.55/1.31 % (3694333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (3694333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (3694333)CaDiCaL version: 2.1.3
% 2.55/1.31 % (3694333)Termination reason: Instruction limit
% 2.55/1.31 % (3694333)Termination phase: Saturation
% 2.55/1.31 % (3694333)Time elapsed: 0.122 s
% 2.55/1.31 % (3694333)Peak memory usage: 90 MB
% 2.55/1.31 % (3694333)Instructions burned: 180 (million)
% 2.55/1.31 % (3694342)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=2210413003:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.55/1.31 % (3694343)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=821564101: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)
% 2.55/1.31 % (3694342)Also succeeded, but the first one will report.
% 2.55/1.31 % (3694344)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3555189390:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.55/1.31 % (3694331)Refutation found. Thanks to Tanya!
% 2.55/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.82/1.41 % (3694331)------------------------------
% 3.82/1.41 % (3694331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.82/1.41 % (3694331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/1.41 % (3694331)CaDiCaL version: 2.1.3
% 3.82/1.41 % (3694331)Termination reason: Refutation
% 3.82/1.41 % (3694331)Time elapsed: 0.053 s
% 3.82/1.41 % (3694331)Peak memory usage: 91 MB
% 3.82/1.41 % (3694331)Instructions burned: 86 (million)
% 3.82/1.41 % (3694331)------------------------------
% 3.82/1.41 % (3694331)------------------------------
% 3.82/1.41 % (3694323)Success in time 0.466 s
% 3.82/1.41 % Vampire exiting
%------------------------------------------------------------------------------