%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC225-1 : 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 : n010.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 01:03:01 PM UTC 2026
% Result : Unsatisfiable 7.47s 1.97s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 114 ( 26 unt; 13 def)
% Number of atoms : 311 ( 69 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 349 ( 152 ~; 188 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
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] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
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,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ssItem(sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ssItem(sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| memberP(X1,sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f209]) ).
fof(f229,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ssItem(sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f259,definition,
! [X0] : sF0(X0) = cons(X0,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f260,plain,
! [X0] : cons(X0,nil) = sF0(X0),
inference(reorient_equations,[],[f259]) ).
fof(f261,definition,
! [X0,X1] : sF1(X1,X0) = app(X1,sF0(X0)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f262,plain,
! [X0,X1] : app(X1,sF0(X0)) = sF1(X1,X0),
inference(reorient_equations,[],[f261]) ).
fof(f263,definition,
! [X2,X0,X1] : sF2(X1,X0,X2) = app(sF1(X1,X0),X2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f264,plain,
! [X2,X0,X1] : app(sF1(X1,X0),X2) = sF2(X1,X0,X2),
inference(reorient_equations,[],[f263]) ).
fof(f265,plain,
! [X2,X0,X1] :
( sk3 != sF2(X1,X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ssItem(sk5(X2,X1,X0)) ),
inference(definition_folding,[],[f230,f264,f262,f260]) ).
fof(f266,plain,
! [X2,X0,X1] :
( sk3 != sF2(X1,X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(definition_folding,[],[f231,f264,f262,f260]) ).
fof(f275,definition,
! [X2,X0] : sF5(X0,X2) = app(sF0(X0),X2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f276,plain,
! [X2,X0] : app(sF0(X0),X2) = sF5(X0,X2),
inference(reorient_equations,[],[f275]) ).
fof(f286,definition,
( spl6_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f288,plain,
( nil != sk3
| spl6_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f294,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f229,f286]) ).
fof(f300,definition,
( spl6_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f301,plain,
( ssList(nil)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f336,plain,
spl6_4,
inference(avatar_split_clause,[],[f8,f300]) ).
fof(f349,plain,
! [X0] :
( ssList(sF0(X0))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f86,f260]) ).
fof(f350,plain,
( ! [X0] :
( ssList(sF0(X0))
| ~ ssItem(X0) )
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f349,f301]) ).
fof(f357,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f378,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f357,f288]) ).
fof(f384,plain,
! [X0,X1] :
( ~ ssList(X0)
| nil = X0
| ~ ssList(X1)
| cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) ),
inference(resolution,[],[f78,f126]) ).
fof(f385,plain,
! [X0,X1] :
( cons(hd(X0),X1) = app(sF0(hd(X0)),X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f384,f260]) ).
fof(f386,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| cons(hd(X0),X1) = sF5(hd(X0),X1) ),
inference(forward_demodulation,[],[f385,f276]) ).
fof(f389,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| cons(hd(X0),tl(X1)) = sF5(hd(X0),tl(X1))
| ~ ssList(X0)
| nil = X1 ),
inference(resolution,[],[f386,f77]) ).
fof(f1120,plain,
! [X0] :
( nil = X0
| cons(hd(X0),tl(sk3)) = sF5(hd(X0),tl(sk3))
| ~ ssList(X0)
| nil = sk3 ),
inference(resolution,[],[f389,f202]) ).
fof(f1129,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(sk3)) = sF5(hd(X0),tl(sk3))
| nil = X0 )
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f1120,f288]) ).
fof(f1266,definition,
( spl6_62
<=> ssList(sF0(hd(sk3))) ),
introduced(definition,[new_symbols(definition,[spl6_62])],[avatar_definition]) ).
fof(f1267,plain,
( ssList(sF0(hd(sk3)))
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1268,plain,
( ~ ssList(sF0(hd(sk3)))
| spl6_62 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1306,plain,
( ~ ssItem(hd(sk3))
| ~ spl6_4
| spl6_62 ),
inference(resolution,[],[f1268,f350]) ).
fof(f1307,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl6_4
| spl6_62 ),
inference(resolution,[],[f1306,f78]) ).
fof(f1308,plain,
( nil = sk3
| ~ spl6_4
| spl6_62 ),
inference(forward_subsumption_resolution,[],[f1307,f202]) ).
fof(f1309,plain,
( $false
| spl6_1
| ~ spl6_4
| spl6_62 ),
inference(forward_subsumption_resolution,[],[f1308,f288]) ).
fof(f1310,plain,
( spl6_1
| ~ spl6_4
| spl6_62 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1312,plain,
( sF0(hd(sk3)) = app(nil,sF0(hd(sk3)))
| ~ spl6_62 ),
inference(resolution,[],[f1267,f74]) ).
fof(f1369,plain,
( sF0(hd(sk3)) = sF1(nil,hd(sk3))
| ~ spl6_62 ),
inference(forward_demodulation,[],[f1312,f262]) ).
fof(f1377,plain,
( ! [X0] : app(sF0(hd(sk3)),X0) = sF2(nil,hd(sk3),X0)
| ~ spl6_62 ),
inference(superposition,[],[f264,f1369]) ).
fof(f1378,plain,
( ! [X0] : sF5(hd(sk3),X0) = sF2(nil,hd(sk3),X0)
| ~ spl6_62 ),
inference(forward_demodulation,[],[f1377,f276]) ).
fof(f1387,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| memberP(nil,sk5(X0,nil,hd(sk3))) )
| ~ spl6_62 ),
inference(superposition,[],[f266,f1378]) ).
fof(f1388,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl6_62 ),
inference(superposition,[],[f265,f1378]) ).
fof(f1389,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl6_4
| ~ spl6_62 ),
inference(forward_subsumption_resolution,[],[f1388,f301]) ).
fof(f1390,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| memberP(nil,sk5(X0,nil,hd(sk3))) )
| ~ spl6_4
| ~ spl6_62 ),
inference(forward_subsumption_resolution,[],[f1387,f301]) ).
fof(f1395,definition,
( spl6_73
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl6_73])],[avatar_definition]) ).
fof(f1397,plain,
( ~ ssItem(hd(sk3))
| spl6_73 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1399,definition,
( spl6_74
<=> ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ssItem(sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_74])],[avatar_definition]) ).
fof(f1400,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| ssItem(sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1401,plain,
( ~ spl6_73
| spl6_74
| ~ spl6_4
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f1389,f1266,f300,f1399,f1395]) ).
fof(f1403,definition,
( spl6_75
<=> ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| memberP(nil,sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_75])],[avatar_definition]) ).
fof(f1404,plain,
( ! [X0] :
( sk3 != sF5(hd(sk3),X0)
| memberP(nil,sk5(X0,nil,hd(sk3)))
| ~ ssList(X0) )
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1405,plain,
( ~ spl6_73
| spl6_75
| ~ spl6_4
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f1390,f1266,f300,f1403,f1395]) ).
fof(f1418,plain,
( ~ ssList(sk3)
| nil = sk3
| spl6_73 ),
inference(resolution,[],[f1397,f78]) ).
fof(f1419,plain,
( nil = sk3
| spl6_73 ),
inference(forward_subsumption_resolution,[],[f1418,f202]) ).
fof(f1420,plain,
( $false
| spl6_1
| spl6_73 ),
inference(forward_subsumption_resolution,[],[f1419,f288]) ).
fof(f1421,plain,
( spl6_1
| spl6_73 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1500,plain,
( cons(hd(sk3),tl(sk3)) = sF5(hd(sk3),tl(sk3))
| nil = sk3
| spl6_1 ),
inference(resolution,[],[f1129,f202]) ).
fof(f1512,plain,
( cons(hd(sk3),tl(sk3)) = sF5(hd(sk3),tl(sk3))
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f1500,f288]) ).
fof(f1515,plain,
( sk3 = sF5(hd(sk3),tl(sk3))
| spl6_1 ),
inference(forward_demodulation,[],[f1512,f378]) ).
fof(f1516,plain,
( sk3 != sk3
| memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| spl6_1
| ~ spl6_75 ),
inference(superposition,[],[f1404,f1515]) ).
fof(f1517,plain,
( sk3 != sk3
| ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| spl6_1
| ~ spl6_74 ),
inference(superposition,[],[f1400,f1515]) ).
fof(f1520,plain,
( ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| spl6_1
| ~ spl6_74 ),
inference(trivial_inequality_removal,[],[f1517]) ).
fof(f1521,plain,
( memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| ~ ssList(tl(sk3))
| spl6_1
| ~ spl6_75 ),
inference(trivial_inequality_removal,[],[f1516]) ).
fof(f1524,definition,
( spl6_81
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl6_81])],[avatar_definition]) ).
fof(f1526,plain,
( ~ ssList(tl(sk3))
| spl6_81 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1528,definition,
( spl6_82
<=> ssItem(sk5(tl(sk3),nil,hd(sk3))) ),
introduced(definition,[new_symbols(definition,[spl6_82])],[avatar_definition]) ).
fof(f1530,plain,
( ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1531,plain,
( ~ spl6_81
| spl6_82
| spl6_1
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f1520,f1399,f286,f1528,f1524]) ).
fof(f1533,definition,
( spl6_83
<=> memberP(nil,sk5(tl(sk3),nil,hd(sk3))) ),
introduced(definition,[new_symbols(definition,[spl6_83])],[avatar_definition]) ).
fof(f1535,plain,
( memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1536,plain,
( ~ spl6_81
| spl6_83
| spl6_1
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f1521,f1403,f286,f1533,f1524]) ).
fof(f1538,plain,
( ~ ssList(sk3)
| nil = sk3
| spl6_81 ),
inference(resolution,[],[f1526,f77]) ).
fof(f1539,plain,
( nil = sk3
| spl6_81 ),
inference(forward_subsumption_resolution,[],[f1538,f202]) ).
fof(f1540,plain,
( $false
| spl6_1
| spl6_81 ),
inference(forward_subsumption_resolution,[],[f1539,f288]) ).
fof(f1541,plain,
( spl6_1
| spl6_81 ),
inference(avatar_contradiction_clause,[],[f1540]) ).
fof(f1542,plain,
( ~ ssItem(sk5(tl(sk3),nil,hd(sk3)))
| ~ spl6_83 ),
inference(resolution,[],[f1535,f71]) ).
fof(f1543,plain,
( $false
| ~ spl6_82
| ~ spl6_83 ),
inference(forward_subsumption_resolution,[],[f1542,f1530]) ).
fof(f1544,plain,
( ~ spl6_82
| ~ spl6_83 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
cnf(s2,plain,
~ spl6_1,
inference(sat_conversion,[],[f294]) ).
cnf(s12,plain,
spl6_4,
inference(sat_conversion,[],[f336]) ).
cnf(s57,plain,
( spl6_1
| ~ spl6_4
| spl6_62 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s67,plain,
( ~ spl6_4
| ~ spl6_62
| ~ spl6_73
| spl6_74 ),
inference(sat_conversion,[],[f1401]) ).
cnf(s68,plain,
( ~ spl6_4
| ~ spl6_62
| ~ spl6_73
| spl6_75 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s72,plain,
( spl6_1
| spl6_73 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s74,plain,
( spl6_1
| ~ spl6_74
| ~ spl6_81
| spl6_82 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s75,plain,
( spl6_1
| ~ spl6_75
| ~ spl6_81
| spl6_83 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s76,plain,
( spl6_1
| spl6_81 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s77,plain,
( ~ spl6_82
| ~ spl6_83 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s82,plain,
spl6_81,
inference(rat,[],[s76,s2]) ).
cnf(s83,plain,
spl6_73,
inference(rat,[],[s72,s2]) ).
cnf(s84,plain,
spl6_62,
inference(rat,[],[s57,s12,s2]) ).
cnf(s89,plain,
spl6_75,
inference(rat,[],[s68,s83,s12,s84]) ).
cnf(s90,plain,
spl6_74,
inference(rat,[],[s67,s83,s12,s84]) ).
cnf(s96,plain,
spl6_83,
inference(rat,[],[s75,s2,s82,s89]) ).
cnf(s97,plain,
spl6_82,
inference(rat,[],[s74,s2,s82,s90]) ).
cnf(s104,plain,
$false,
inference(rat,[],[s77,s96,s97]) ).
fof(f1545,plain,
$false,
inference(avatar_sat_refutation,[],[s104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC225-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n010.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 08:33:32 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running first-order theorem proving
% 0.25/0.28 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
% 7.47/1.97 % (1771995)Input is clausal, will run a generic CNF schedule.
% 7.47/1.97 % (1772000)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=657492410:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.47/1.97 % (1772004)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2183467320:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.47/1.97 % (1772002)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1430347804:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.47/1.97 % (1772003)lrs+10_1_sil=8000:sp=occurrence:random_seed=4246379272:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.47/1.97 % (1772001)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1429116148:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.47/1.97 % (1772005)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3749494907:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.47/1.97 % (1772006)dis-21_1_sil=8000:lcm=predicate:random_seed=2626169054: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)
% 7.47/1.97 % (1772004)Instruction limit reached!
% 7.47/1.97 % (1772004)------------------------------
% 7.47/1.97 % (1772004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772004)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772004)Termination reason: Instruction limit
% 7.47/1.97 % (1772004)Termination phase: Saturation
% 7.47/1.97 % (1772004)Time elapsed: 0.118 s
% 7.47/1.97 % (1772004)Peak memory usage: 88 MB
% 7.47/1.97 % (1772004)Instructions burned: 114 (million)
% 7.47/1.97 % (1772003)Instruction limit reached!
% 7.47/1.97 % (1772003)------------------------------
% 7.47/1.97 % (1772003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772003)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772003)Termination reason: Instruction limit
% 7.47/1.97 % (1772003)Termination phase: Saturation
% 7.47/1.97 % (1772003)Time elapsed: 0.108 s
% 7.47/1.97 % (1772003)Peak memory usage: 90 MB
% 7.47/1.97 % (1772003)Instructions burned: 107 (million)
% 7.47/1.97 % (1772006)Instruction limit reached!
% 7.47/1.97 % (1772006)------------------------------
% 7.47/1.97 % (1772006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772006)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772006)Termination reason: Instruction limit
% 7.47/1.97 % (1772006)Termination phase: Saturation
% 7.47/1.97 % (1772006)Time elapsed: 0.090 s
% 7.47/1.97 % (1772006)Peak memory usage: 89 MB
% 7.47/1.97 % (1772006)Instructions burned: 118 (million)
% 7.47/1.97 % (1772005)Instruction limit reached!
% 7.47/1.97 % (1772005)------------------------------
% 7.47/1.97 % (1772005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772005)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772005)Termination reason: Instruction limit
% 7.47/1.97 % (1772005)Termination phase: Saturation
% 7.47/1.97 % (1772005)Time elapsed: 0.181 s
% 7.47/1.97 % (1772005)Peak memory usage: 90 MB
% 7.47/1.97 % (1772005)Instructions burned: 180 (million)
% 7.47/1.97 % (1772014)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=1263417127:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 7.47/1.97 % (1772015)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1212991240:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 7.47/1.97 % (1772016)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=885929658:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 7.47/1.97 % (1772014)Instruction limit reached!
% 7.47/1.97 % (1772014)------------------------------
% 7.47/1.97 % (1772014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772014)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772014)Termination reason: Instruction limit
% 7.47/1.97 % (1772014)Termination phase: Saturation
% 7.47/1.97 % (1772014)Time elapsed: 0.152 s
% 7.47/1.97 % (1772014)Peak memory usage: 89 MB
% 7.47/1.97 % (1772014)Instructions burned: 143 (million)
% 7.47/1.97 % (1772017)lrs+10_64_to=lpo:sil=8000:random_seed=1945832237:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.47/1.97 % (1772015)Instruction limit reached!
% 7.47/1.97 % (1772015)------------------------------
% 7.47/1.97 % (1772015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772015)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772015)Termination reason: Instruction limit
% 7.47/1.97 % (1772015)Termination phase: Saturation
% 7.47/1.97 % (1772015)Time elapsed: 0.174 s
% 7.47/1.97 % (1772015)Peak memory usage: 92 MB
% 7.47/1.97 % (1772015)Instructions burned: 189 (million)
% 7.47/1.97 % (1772017)Instruction limit reached!
% 7.47/1.97 % (1772017)------------------------------
% 7.47/1.97 % (1772017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772017)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772017)Termination reason: Instruction limit
% 7.47/1.97 % (1772017)Termination phase: Saturation
% 7.47/1.97 % (1772017)Time elapsed: 0.111 s
% 7.47/1.97 % (1772017)Peak memory usage: 90 MB
% 7.47/1.97 % (1772017)Instructions burned: 126 (million)
% 7.47/1.97 % (1772000)First to succeed.
% 7.47/1.97 % (1772000)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1771995"
% 7.47/1.97 % (1772016)Instruction limit reached!
% 7.47/1.97 % (1772016)------------------------------
% 7.47/1.97 % (1772016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/1.97 % (1772016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.97 % (1772016)CaDiCaL version: 2.1.3
% 7.47/1.97 % (1772016)Termination reason: Instruction limit
% 7.47/1.97 % (1772016)Termination phase: Saturation
% 7.47/1.97 % (1772016)Time elapsed: 0.214 s
% 7.47/1.97 % (1772016)Peak memory usage: 90 MB
% 7.47/1.97 % (1772016)Instructions burned: 219 (million)
% 7.47/1.97 % (1772021)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1936769173:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 7.47/1.97 % (1772021)Also succeeded, but the first one will report.
% 7.47/1.97 % (1772023)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1142900107:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 7.47/1.97 % (1772000)Refutation found. Thanks to Tanya!
% 7.47/1.97 % SZS status Unsatisfiable for theBenchmark
% 7.47/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 9.04/2.22 % (1772000)------------------------------
% 9.04/2.22 % (1772000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.22 % (1772000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.22 % (1772000)CaDiCaL version: 2.1.3
% 9.04/2.22 % (1772000)Termination reason: Refutation
% 9.04/2.22 % (1772000)Time elapsed: 0.702 s
% 9.04/2.22 % (1772000)Peak memory usage: 132 MB
% 9.04/2.22 % (1772000)Instructions burned: 1196 (million)
% 9.04/2.22 % (1772000)------------------------------
% 9.04/2.22 % (1772000)------------------------------
% 9.04/2.22 % (1771995)Success in time 1.171 s
% 9.04/2.22 % Vampire exiting
%------------------------------------------------------------------------------