%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC079-1 : 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 : n013.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 01:02:20 PM UTC 2026
% Result : Unsatisfiable 2.97s 1.33s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 155 ( 27 unt; 15 def)
% Number of atoms : 450 ( 51 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 564 ( 269 ~; 280 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
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(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
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(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f238,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f239,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f240,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f248,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ~ neq(nil,sk4)
| spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl0_3
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f257,plain,
( ssItem(hd(sk4))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( ~ ssItem(hd(sk4))
| spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl0_4
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f262,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_5
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f266,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f239,f264,f260,f256,f252,f248]) ).
fof(f269,definition,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f270,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f210,f269,f248]) ).
fof(f273,definition,
( spl0_7
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( neq(sk2,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f279,plain,
spl0_7,
inference(avatar_split_clause,[],[f240,f273]) ).
fof(f285,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f286,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f321,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f285]) ).
fof(f324,plain,
( neq(sk4,nil)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f275,f204]) ).
fof(f327,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk1,X0)
| ~ neq(X0,nil) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f270,f204]) ).
fof(f328,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f324,f273,f248]) ).
fof(f337,definition,
( spl0_18
<=> segmentP(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f338,plain,
( segmentP(sk1,nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ segmentP(sk1,nil)
| spl0_18 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,plain,
( ~ ssList(sk4)
| ~ ssList(sk4)
| ~ segmentP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(resolution,[],[f57,f327]) ).
fof(f342,plain,
( ~ ssList(sk4)
| ~ segmentP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f343,plain,
( ~ segmentP(sk1,sk4)
| ~ neq(sk4,nil)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f342,f203]) ).
fof(f344,plain,
( ~ segmentP(sk1,sk4)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f343,f249]) ).
fof(f372,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f254]) ).
fof(f377,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f372,f286]) ).
fof(f378,plain,
( nil = sk4
| spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f377,f203]) ).
fof(f379,plain,
( ~ segmentP(sk1,nil)
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f344,f378]) ).
fof(f386,plain,
( ~ spl0_18
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f379,f285,f269,f252,f248,f337]) ).
fof(f396,plain,
( sk1 = cons(hd(sk4),nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f262,f205]) ).
fof(f397,plain,
( ~ ssList(sk1)
| spl0_18 ),
inference(resolution,[],[f339,f56]) ).
fof(f398,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f397,f200]) ).
fof(f399,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f558,definition,
( spl0_21
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f559,plain,
( nil != sk4
| spl0_21 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( nil = sk4
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,definition,
( spl0_22
<=> sk4 = app(sk1,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f564,plain,
( sk4 = app(sk1,tl(sk4))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f591,plain,
( nil != sk1
| ~ ssItem(hd(sk4))
| ~ ssList(nil)
| ~ spl0_4 ),
inference(superposition,[],[f99,f396]) ).
fof(f594,plain,
( nil != sk1
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f591,f257]) ).
fof(f595,plain,
( nil != sk1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f594,f286]) ).
fof(f655,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) )
| ~ spl0_4 ),
inference(superposition,[],[f126,f396]) ).
fof(f662,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f655,f257]) ).
fof(f700,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f662,f107]) ).
fof(f743,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f700,f75]) ).
fof(f756,plain,
( sk4 = app(sk1,tl(sk4))
| nil = sk4
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f743,f203]) ).
fof(f759,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f756,f260,f256,f562,f558]) ).
fof(f772,plain,
( ~ segmentP(sk1,nil)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f344,f560]) ).
fof(f776,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f772,f338]) ).
fof(f777,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f783,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_5 ),
inference(resolution,[],[f266,f86]) ).
fof(f784,plain,
( ~ ssItem(hd(sk4))
| spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f783,f286]) ).
fof(f785,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f784,f257]) ).
fof(f786,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f226,f74]) ).
fof(f1008,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f1003]) ).
fof(f1012,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1008,f286]) ).
fof(f1299,definition,
( spl0_29
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1300,plain,
( ssList(tl(sk4))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1301,plain,
( ~ ssList(tl(sk4))
| spl0_29 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1308,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_29 ),
inference(resolution,[],[f1301,f75]) ).
fof(f1309,plain,
( nil = sk4
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1308,f203]) ).
fof(f1310,plain,
( $false
| spl0_21
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1309,f559]) ).
fof(f1311,plain,
( spl0_21
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1390,definition,
( spl0_34
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f1391,plain,
( nil != sk1
| spl0_34 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1403,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f258,f76]) ).
fof(f1404,plain,
( nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1403,f203]) ).
fof(f1405,plain,
( $false
| spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1404,f559]) ).
fof(f1406,plain,
( spl0_3
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1408,plain,
( ~ spl0_34
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f595,f285,f260,f256,f1390]) ).
fof(f2543,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1012,f85]) ).
fof(f2558,plain,
( segmentP(sk4,sk1)
| ~ ssList(tl(sk4))
| ~ ssList(sk1)
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f2543,f564]) ).
fof(f2568,plain,
( segmentP(sk4,sk1)
| ~ ssList(sk1)
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2558,f1300]) ).
fof(f2576,plain,
( segmentP(sk4,sk1)
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2568,f200]) ).
fof(f2583,plain,
( ~ ssList(sk1)
| ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29 ),
inference(resolution,[],[f2576,f327]) ).
fof(f2589,plain,
( ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2583,f200]) ).
fof(f2593,definition,
( spl0_62
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f2595,plain,
( ~ neq(sk1,nil)
| spl0_62 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f2597,definition,
( spl0_63
<=> segmentP(sk1,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f2599,plain,
( ~ segmentP(sk1,sk1)
| spl0_63 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2600,plain,
( ~ spl0_62
| ~ spl0_63
| ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f2589,f1299,f562,f285,f269,f2597,f2593]) ).
fof(f2616,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| nil = sk1
| spl0_62 ),
inference(resolution,[],[f2595,f102]) ).
fof(f2617,plain,
( ~ ssList(nil)
| nil = sk1
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f2616,f200]) ).
fof(f2618,plain,
( nil = sk1
| ~ spl0_9
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f2617,f286]) ).
fof(f2619,plain,
( $false
| ~ spl0_9
| spl0_34
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f2618,f1391]) ).
fof(f2620,plain,
( ~ spl0_9
| spl0_34
| spl0_62 ),
inference(avatar_contradiction_clause,[],[f2619]) ).
fof(f2668,plain,
( ~ ssList(sk1)
| spl0_63 ),
inference(resolution,[],[f2599,f57]) ).
fof(f2672,plain,
( $false
| spl0_63 ),
inference(forward_subsumption_resolution,[],[f2668,f200]) ).
fof(f2673,plain,
spl0_63,
inference(avatar_contradiction_clause,[],[f2672]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f271]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f279]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f321]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f328]) ).
cnf(s21,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18 ),
inference(sat_conversion,[],[f386]) ).
cnf(s27,plain,
spl0_18,
inference(sat_conversion,[],[f399]) ).
cnf(s38,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f759]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f777]) ).
cnf(s42,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f786]) ).
cnf(s47,plain,
( spl0_21
| spl0_29 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s53,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s54,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_34 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s112,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29
| ~ spl0_62
| ~ spl0_63 ),
inference(sat_conversion,[],[f2600]) ).
cnf(s113,plain,
( ~ spl0_9
| spl0_34
| spl0_62 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s115,plain,
spl0_63,
inference(sat_conversion,[],[f2673]) ).
cnf(s117,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_22
| ~ spl0_29
| ~ spl0_62 ),
inference(rat,[],[s112,s115]) ).
cnf(s121,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(rat,[],[s21,s27]) ).
cnf(s128,plain,
spl0_1,
inference(rat,[],[s18,s6]) ).
cnf(s129,plain,
spl0_6,
inference(rat,[],[s2,s128]) ).
cnf(s130,plain,
~ spl0_21,
inference(rat,[],[s39,s128,s27,s129]) ).
cnf(s132,plain,
spl0_2,
inference(rat,[],[s121,s16,s128,s129]) ).
cnf(s133,plain,
spl0_3,
inference(rat,[],[s53,s130]) ).
cnf(s134,plain,
spl0_29,
inference(rat,[],[s47,s130]) ).
cnf(s135,plain,
spl0_5,
inference(rat,[],[s42,s16,s133]) ).
cnf(s136,plain,
spl0_4,
inference(rat,[],[s1,s135,s133,s132,s128]) ).
cnf(s146,plain,
~ spl0_34,
inference(rat,[],[s54,s133,s16,s136]) ).
cnf(s149,plain,
spl0_22,
inference(rat,[],[s38,s133,s130,s136]) ).
cnf(s154,plain,
spl0_62,
inference(rat,[],[s113,s16,s146]) ).
cnf(s159,plain,
$false,
inference(rat,[],[s117,s134,s129,s16,s154,s149]) ).
fof(f2674,plain,
$false,
inference(avatar_sat_refutation,[],[s159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC079-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 07:44:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.97/1.33 % (1006667)Input is clausal, will run a generic CNF schedule.
% 2.97/1.33 % (1006817)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=63589361:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.97/1.33 % (1006819)lrs+10_1_sil=8000:sp=occurrence:random_seed=3711177345:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.97/1.33 % (1006816)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=1262149228:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.97/1.33 % (1006818)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2877664505:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.97/1.33 % (1006822)dis-21_1_sil=8000:lcm=predicate:random_seed=1754548328: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)
% 2.97/1.33 % (1006820)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=462366068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.97/1.33 % (1006821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1502003233:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.97/1.33 % (1006822)Instruction limit reached!
% 2.97/1.33 % (1006822)------------------------------
% 2.97/1.33 % (1006822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.33 % (1006822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.33 % (1006822)CaDiCaL version: 2.1.3
% 2.97/1.33 % (1006822)Termination reason: Instruction limit
% 2.97/1.33 % (1006822)Termination phase: Saturation
% 2.97/1.33 % (1006822)Time elapsed: 0.050 s
% 2.97/1.33 % (1006822)Peak memory usage: 89 MB
% 2.97/1.33 % (1006822)Instructions burned: 118 (million)
% 2.97/1.33 % (1006821)First to succeed.
% 2.97/1.33 % (1006821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1006667"
% 2.97/1.33 % (1006820)Instruction limit reached!
% 2.97/1.33 % (1006820)------------------------------
% 2.97/1.33 % (1006820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.33 % (1006820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.33 % (1006820)CaDiCaL version: 2.1.3
% 2.97/1.33 % (1006820)Termination reason: Instruction limit
% 2.97/1.33 % (1006820)Termination phase: Saturation
% 2.97/1.33 % (1006820)Time elapsed: 0.068 s
% 2.97/1.33 % (1006820)Peak memory usage: 89 MB
% 2.97/1.33 % (1006820)Instructions burned: 115 (million)
% 2.97/1.33 % (1006819)Instruction limit reached!
% 2.97/1.33 % (1006819)------------------------------
% 2.97/1.33 % (1006819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.33 % (1006819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.33 % (1006819)CaDiCaL version: 2.1.3
% 2.97/1.33 % (1006819)Termination reason: Instruction limit
% 2.97/1.33 % (1006819)Termination phase: Saturation
% 2.97/1.33 % (1006819)Time elapsed: 0.069 s
% 2.97/1.33 % (1006819)Peak memory usage: 89 MB
% 2.97/1.33 % (1006819)Instructions burned: 108 (million)
% 2.97/1.33 % (1006830)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=1325805006:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.97/1.33 % (1006831)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=239626482: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)
% 2.97/1.33 % (1006832)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=310262724:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.97/1.33 % (1006832)Also succeeded, but the first one will report.
% 2.97/1.33 % (1006830)Instruction limit reached!
% 2.97/1.33 % (1006830)------------------------------
% 2.97/1.33 % (1006830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.33 % (1006830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.33 % (1006830)CaDiCaL version: 2.1.3
% 2.97/1.33 % (1006830)Termination reason: Instruction limit
% 2.97/1.33 % (1006830)Termination phase: Saturation
% 2.97/1.33 % (1006830)Time elapsed: 0.096 s
% 2.97/1.33 % (1006830)Peak memory usage: 90 MB
% 2.97/1.33 % (1006830)Instructions burned: 144 (million)
% 2.97/1.33 % (1006821)Refutation found. Thanks to Tanya!
% 2.97/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.97/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.53 % (1006821)------------------------------
% 4.03/1.53 % (1006821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.53 % (1006821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.53 % (1006821)CaDiCaL version: 2.1.3
% 4.03/1.53 % (1006821)Termination reason: Refutation
% 4.03/1.53 % (1006821)Time elapsed: 0.062 s
% 4.03/1.53 % (1006821)Peak memory usage: 90 MB
% 4.03/1.53 % (1006821)Instructions burned: 85 (million)
% 4.03/1.53 % (1006821)------------------------------
% 4.03/1.53 % (1006821)------------------------------
% 4.03/1.53 % (1006667)Success in time 0.487 s
% 4.03/1.53 % Vampire exiting
%------------------------------------------------------------------------------