%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC329-1 : 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 : n007.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 01:03:29 PM UTC 2026
% Result : Unsatisfiable 5.39s 1.57s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 34
% Syntax : Number of formulae : 117 ( 22 unt; 10 def)
% Number of atoms : 363 ( 37 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 465 ( 219 ~; 237 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
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(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
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(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( ~ segmentP(sk4,sk3)
| ~ equalelemsP(sk3) ),
inference(definition_unfolding,[],[f216,f204,f205,f205]) ).
fof(f220,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f234,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f244,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f245,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f244]) ).
fof(f246,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f209,f245]) ).
fof(f247,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f213,f245]) ).
fof(f255,definition,
( spl1_1
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f259,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f261,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f219,f259,f255]) ).
fof(f264,definition,
( spl1_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f266,plain,
( nil = sk3
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f272,definition,
( spl1_5
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f274,plain,
( memberP(sk4,sk5)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f214,f272,f264]) ).
fof(f277,definition,
( spl1_6
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f279,plain,
( sk3 = sF0
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f247,f277,f264]) ).
fof(f282,definition,
( spl1_7
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f284,plain,
( nil = sk4
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f286,plain,
( spl1_7
| spl1_5 ),
inference(avatar_split_clause,[],[f210,f272,f282]) ).
fof(f287,plain,
( spl1_7
| spl1_6 ),
inference(avatar_split_clause,[],[f246,f277,f282]) ).
fof(f289,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f291,plain,
( ssItem(sk5)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( spl1_3
| spl1_8 ),
inference(avatar_split_clause,[],[f207,f289,f264]) ).
fof(f293,plain,
( spl1_7
| spl1_8 ),
inference(avatar_split_clause,[],[f206,f289,f282]) ).
fof(f299,definition,
( spl1_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f300,plain,
( ssList(nil)
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f322,definition,
( spl1_15
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f324,plain,
( segmentP(nil,nil)
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,plain,
( spl1_15
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f220,f299,f322]) ).
fof(f335,plain,
spl1_10,
inference(avatar_split_clause,[],[f8,f299]) ).
fof(f336,plain,
( equalelemsP(sk3)
| ~ spl1_3 ),
inference(backward_demodulation,[],[f1,f266]) ).
fof(f378,plain,
( sk3 = sk4
| ~ spl1_3
| ~ spl1_7 ),
inference(forward_demodulation,[],[f284,f266]) ).
fof(f385,plain,
( segmentP(sk3,sk3)
| ~ spl1_3
| ~ spl1_15 ),
inference(forward_demodulation,[],[f324,f266]) ).
fof(f407,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f336,f264,f255]) ).
fof(f408,plain,
( ~ segmentP(sk3,sk3)
| spl1_2
| ~ spl1_3
| ~ spl1_7 ),
inference(backward_demodulation,[],[f261,f378]) ).
fof(f413,plain,
( $false
| spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f408,f385]) ).
fof(f414,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f431,plain,
( sk3 = cons(sk5,nil)
| ~ spl1_6 ),
inference(forward_demodulation,[],[f245,f279]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( segmentP(app(X0,X2),X3)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f186,f182]) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| segmentP(app(X0,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f496,f53]) ).
fof(f537,plain,
( equalelemsP(sk3)
| ~ ssItem(sk5)
| ~ spl1_6 ),
inference(superposition,[],[f64,f431]) ).
fof(f539,plain,
( equalelemsP(sk3)
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f537,f291]) ).
fof(f540,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f539,f289,f277,f255]) ).
fof(f564,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[],[f234,f74]) ).
fof(f565,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f564]) ).
fof(f569,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f565,f85]) ).
fof(f571,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f569,f300]) ).
fof(f581,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) )
| ~ spl1_6 ),
inference(superposition,[],[f126,f431]) ).
fof(f592,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f581,f291]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,skaf43(sk5,X0)))
| segmentP(app(X0,X2),X1)
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(skaf43(sk5,X0)) )
| ~ spl1_6
| ~ spl1_8 ),
inference(superposition,[],[f497,f592]) ).
fof(f606,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,skaf43(sk5,X0)))
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(skaf43(sk5,X0)) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f597,f291]) ).
fof(f614,plain,
( ! [X2,X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,X0)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(sk3,skaf43(sk5,X0)))
| segmentP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f606,f52]) ).
fof(f623,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(sk3,skaf43(sk5,X1)))
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(sk3)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(resolution,[],[f614,f571]) ).
fof(f626,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(sk3,skaf43(sk5,X1)))
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f626,f85]) ).
fof(f630,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| segmentP(app(X1,X0),sk3)
| ~ ssList(X1)
| ~ memberP(X1,sk5)
| ~ ssList(skaf43(sk5,X1)) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f628,f202]) ).
fof(f632,plain,
( ! [X0,X1] :
( segmentP(app(X1,X0),sk3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(X1,sk5) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f630,f52]) ).
fof(f635,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(X0) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(superposition,[],[f632,f73]) ).
fof(f642,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f646,plain,
( ! [X0] :
( ~ memberP(X0,sk5)
| ~ ssList(X0)
| segmentP(X0,sk3) )
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f642,f300]) ).
fof(f656,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(resolution,[],[f646,f274]) ).
fof(f657,plain,
( segmentP(sk4,sk3)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f656,f203]) ).
fof(f658,plain,
( $false
| spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f657,f261]) ).
fof(f659,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(avatar_contradiction_clause,[],[f658]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s3,plain,
( spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f275]) ).
cnf(s4,plain,
( spl1_3
| spl1_6 ),
inference(sat_conversion,[],[f280]) ).
cnf(s6,plain,
( spl1_5
| spl1_7 ),
inference(sat_conversion,[],[f286]) ).
cnf(s7,plain,
( spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f287]) ).
cnf(s8,plain,
( spl1_3
| spl1_8 ),
inference(sat_conversion,[],[f292]) ).
cnf(s9,plain,
( spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f293]) ).
cnf(s15,plain,
( ~ spl1_10
| spl1_15 ),
inference(sat_conversion,[],[f325]) ).
cnf(s19,plain,
spl1_10,
inference(sat_conversion,[],[f335]) ).
cnf(s20,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f407]) ).
cnf(s21,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_7
| ~ spl1_15 ),
inference(sat_conversion,[],[f414]) ).
cnf(s24,plain,
( spl1_1
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f540]) ).
cnf(s26,plain,
( spl1_2
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_10 ),
inference(sat_conversion,[],[f659]) ).
cnf(s27,plain,
spl1_15,
inference(rat,[],[s15,s19]) ).
cnf(s31,plain,
spl1_1,
inference(rat,[],[s24,s4,s8,s20]) ).
cnf(s32,plain,
~ spl1_2,
inference(rat,[],[s1,s31]) ).
cnf(s33,plain,
spl1_3,
inference(rat,[],[s26,s3,s4,s8,s32,s19]) ).
cnf(s34,plain,
~ spl1_7,
inference(rat,[],[s21,s27,s32,s33]) ).
cnf(s35,plain,
spl1_8,
inference(rat,[],[s9,s34]) ).
cnf(s36,plain,
spl1_6,
inference(rat,[],[s7,s34]) ).
cnf(s37,plain,
spl1_5,
inference(rat,[],[s6,s34]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s26,s19,s35,s32,s36,s37]) ).
fof(f660,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC329-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:04:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 5.39/1.57 % (2257050)Input is clausal, will run a generic CNF schedule.
% 5.39/1.57 % (2257058)lrs+10_1_sil=8000:sp=occurrence:random_seed=1574257881:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.39/1.57 % (2257060)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1158720047:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.39/1.57 % (2257056)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1662997892:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.39/1.57 % (2257055)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=89918527:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.39/1.57 % (2257057)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1785948862:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.39/1.57 % (2257059)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1857942024:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.39/1.57 % (2257061)dis-21_1_sil=8000:lcm=predicate:random_seed=2593526851: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)
% 5.39/1.57 % (2257058)Instruction limit reached!
% 5.39/1.57 % (2257058)------------------------------
% 5.39/1.57 % (2257058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257058)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257058)Termination reason: Instruction limit
% 5.39/1.57 % (2257058)Termination phase: Saturation
% 5.39/1.57 % (2257058)Time elapsed: 0.038 s
% 5.39/1.57 % (2257058)Peak memory usage: 90 MB
% 5.39/1.57 % (2257058)Instructions burned: 110 (million)
% 5.39/1.57 % (2257061)Instruction limit reached!
% 5.39/1.57 % (2257061)------------------------------
% 5.39/1.57 % (2257061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257061)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257061)Termination reason: Instruction limit
% 5.39/1.57 % (2257061)Termination phase: Saturation
% 5.39/1.57 % (2257061)Time elapsed: 0.050 s
% 5.39/1.57 % (2257061)Peak memory usage: 89 MB
% 5.39/1.57 % (2257061)Instructions burned: 117 (million)
% 5.39/1.57 % (2257059)Instruction limit reached!
% 5.39/1.57 % (2257059)------------------------------
% 5.39/1.57 % (2257059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257059)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257059)Termination reason: Instruction limit
% 5.39/1.57 % (2257059)Termination phase: Saturation
% 5.39/1.57 % (2257059)Time elapsed: 0.068 s
% 5.39/1.57 % (2257059)Peak memory usage: 89 MB
% 5.39/1.57 % (2257059)Instructions burned: 115 (million)
% 5.39/1.57 % (2257060)Instruction limit reached!
% 5.39/1.57 % (2257060)------------------------------
% 5.39/1.57 % (2257060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257060)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257060)Termination reason: Instruction limit
% 5.39/1.57 % (2257060)Termination phase: Saturation
% 5.39/1.57 % (2257060)Time elapsed: 0.125 s
% 5.39/1.57 % (2257060)Peak memory usage: 90 MB
% 5.39/1.57 % (2257060)Instructions burned: 181 (million)
% 5.39/1.57 % (2257069)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=3797989080:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.39/1.57 % (2257071)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2393593928:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.39/1.57 % (2257070)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=97796579: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)
% 5.39/1.57 % (2257069)Instruction limit reached!
% 5.39/1.57 % (2257069)------------------------------
% 5.39/1.57 % (2257069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257069)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257069)Termination reason: Instruction limit
% 5.39/1.57 % (2257069)Termination phase: Saturation
% 5.39/1.57 % (2257069)Time elapsed: 0.095 s
% 5.39/1.57 % (2257069)Peak memory usage: 89 MB
% 5.39/1.57 % (2257069)Instructions burned: 144 (million)
% 5.39/1.57 % (2257071)Instruction limit reached!
% 5.39/1.57 % (2257071)------------------------------
% 5.39/1.57 % (2257071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257071)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257071)Termination reason: Instruction limit
% 5.39/1.57 % (2257071)Termination phase: Saturation
% 5.39/1.57 % (2257071)Time elapsed: 0.068 s
% 5.39/1.57 % (2257071)Peak memory usage: 90 MB
% 5.39/1.57 % (2257071)Instructions burned: 220 (million)
% 5.39/1.57 % (2257073)lrs+10_64_to=lpo:sil=8000:random_seed=2135179676:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.39/1.57 % (2257070)Instruction limit reached!
% 5.39/1.57 % (2257070)------------------------------
% 5.39/1.57 % (2257070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257070)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257070)Termination reason: Instruction limit
% 5.39/1.57 % (2257070)Termination phase: Saturation
% 5.39/1.57 % (2257070)Time elapsed: 0.097 s
% 5.39/1.57 % (2257070)Peak memory usage: 92 MB
% 5.39/1.57 % (2257070)Instructions burned: 190 (million)
% 5.39/1.57 % (2257073)Instruction limit reached!
% 5.39/1.57 % (2257073)------------------------------
% 5.39/1.57 % (2257073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257073)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257073)Termination reason: Instruction limit
% 5.39/1.57 % (2257073)Termination phase: Saturation
% 5.39/1.57 % (2257073)Time elapsed: 0.069 s
% 5.39/1.57 % (2257073)Peak memory usage: 90 MB
% 5.39/1.57 % (2257073)Instructions burned: 127 (million)
% 5.39/1.57 % (2257077)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4294151986:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 5.39/1.57 % (2257076)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=846158255:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 5.39/1.57 % (2257077)Instruction limit reached!
% 5.39/1.57 % (2257077)------------------------------
% 5.39/1.57 % (2257077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257077)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257077)Termination reason: Instruction limit
% 5.39/1.57 % (2257077)Termination phase: Saturation
% 5.39/1.57 % (2257077)Time elapsed: 0.048 s
% 5.39/1.57 % (2257077)Peak memory usage: 91 MB
% 5.39/1.57 % (2257077)Instructions burned: 157 (million)
% 5.39/1.57 % (2257079)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4071506599:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.39/1.57 % (2257081)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=1265734472:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 5.39/1.57 % (2257076)Instruction limit reached!
% 5.39/1.57 % (2257076)------------------------------
% 5.39/1.57 % (2257076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257076)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257076)Termination reason: Instruction limit
% 5.39/1.57 % (2257076)Termination phase: Saturation
% 5.39/1.57 % (2257076)Time elapsed: 0.127 s
% 5.39/1.57 % (2257076)Peak memory usage: 90 MB
% 5.39/1.57 % (2257076)Instructions burned: 196 (million)
% 5.39/1.57 % (2257083)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2672313428:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 5.39/1.57 % (2257081)Instruction limit reached!
% 5.39/1.57 % (2257081)------------------------------
% 5.39/1.57 % (2257081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257081)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257081)Termination reason: Instruction limit
% 5.39/1.57 % (2257081)Termination phase: Saturation
% 5.39/1.57 % (2257081)Time elapsed: 0.061 s
% 5.39/1.57 % (2257081)Peak memory usage: 90 MB
% 5.39/1.57 % (2257081)Instructions burned: 108 (million)
% 5.39/1.57 % (2257083)Instruction limit reached!
% 5.39/1.57 % (2257083)------------------------------
% 5.39/1.57 % (2257083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257083)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257083)Termination reason: Instruction limit
% 5.39/1.57 % (2257083)Termination phase: Saturation
% 5.39/1.57 % (2257083)Time elapsed: 0.036 s
% 5.39/1.57 % (2257083)Peak memory usage: 90 MB
% 5.39/1.57 % (2257083)Instructions burned: 108 (million)
% 5.39/1.57 % (2257057)First to succeed.
% 5.39/1.57 % (2257086)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1140241638:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 5.39/1.57 % (2257057)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2257050"
% 5.39/1.57 % (2257088)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2699686824:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 5.39/1.57 % (2257089)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1421054629:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 5.39/1.57 % (2257055)Also succeeded, but the first one will report.
% 5.39/1.57 % (2257089)Instruction limit reached!
% 5.39/1.57 % (2257089)------------------------------
% 5.39/1.57 % (2257089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.57 % (2257089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.57 % (2257089)CaDiCaL version: 2.1.3
% 5.39/1.57 % (2257089)Termination reason: Instruction limit
% 5.39/1.57 % (2257089)Termination phase: Saturation
% 5.39/1.57 % (2257089)Time elapsed: 0.092 s
% 5.39/1.57 % (2257089)Peak memory usage: 90 MB
% 5.39/1.57 % (2257089)Instructions burned: 135 (million)
% 5.39/1.57 % (2257057)Refutation found. Thanks to Tanya!
% 5.39/1.57 % SZS status Unsatisfiable for theBenchmark
% 5.39/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 7.05/1.76 % (2257057)------------------------------
% 7.05/1.76 % (2257057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.76 % (2257057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.76 % (2257057)CaDiCaL version: 2.1.3
% 7.05/1.76 % (2257057)Termination reason: Refutation
% 7.05/1.76 % (2257057)Time elapsed: 0.606 s
% 7.05/1.76 % (2257057)Peak memory usage: 131 MB
% 7.05/1.76 % (2257057)Instructions burned: 1019 (million)
% 7.05/1.76 % (2257057)------------------------------
% 7.05/1.76 % (2257057)------------------------------
% 7.05/1.76 % (2257050)Success in time 0.918 s
% 7.05/1.76 % Vampire exiting
%------------------------------------------------------------------------------