%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC005-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:04:15 PM UTC 2026
% Result : Unsatisfiable 2.44s 1.05s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 153 ( 26 unt; 14 def)
% Number of atoms : 430 ( 60 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 546 ( 269 ~; 263 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
fof(f105,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
fof(f120,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause117) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk2
| app(X0,X2) != sk1
| ~ neq(X1,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| sk3 = X0
| tl(sk4) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk4
| app(X0,X2) != sk3
| ~ neq(X1,nil)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f226,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f227,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f120]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
fof(f244,plain,
( ~ ssList(tl(sk4))
| sk3 = tl(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f245,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f249,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f252,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) != sk4
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X2) != sk3
| ~ neq(X1,nil) ),
inference(global_subsumption,[],[f218,f245]) ).
fof(f254,definition,
( spl0_1
<=> ! [X0] : ~ ssList(X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f255,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f265,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f255,f202]) ).
fof(f266,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f271,definition,
( spl0_6
<=> ! [X0] : ~ ssItem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f272,plain,
( ! [X0] : ~ ssItem(X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,definition,
( spl0_7
<=> ! [X1] : ~ neq(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( ! [X1] : ~ neq(X1,X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f278,plain,
( ~ ssList(tl(sk4))
| sk3 = tl(sk4)
| ~ neq(nil,sk4) ),
inference(forward_subsumption_resolution,[],[f244,f245]) ).
fof(f280,definition,
( spl0_8
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f282,plain,
( ~ neq(nil,sk4)
| spl0_8 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_9
<=> sk3 = tl(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f286,plain,
( sk3 = tl(sk4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl0_10
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f290,plain,
( ~ ssList(tl(sk4))
| spl0_10 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f278,f288,f284,f280]) ).
fof(f292,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f9,f272]) ).
fof(f293,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f372,definition,
( spl0_36
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f373,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f378,definition,
( spl0_38
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f379,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( spl0_36
| spl0_38 ),
inference(avatar_split_clause,[],[f72,f378,f372]) ).
fof(f982,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X3) ),
inference(resolution,[],[f85,f236]) ).
fof(f1544,plain,
( ! [X0,X1] :
( duplicatefreeP(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_38 ),
inference(resolution,[],[f379,f85]) ).
fof(f1584,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(cons(X1,X3))
| ~ ssList(cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X3) )
| ~ spl0_38 ),
inference(resolution,[],[f1544,f982]) ).
fof(f1635,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1636,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1635,f86]) ).
fof(f1640,definition,
( spl0_111
<=> ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f1641,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1642,plain,
( spl0_1
| spl0_111
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1636,f378,f1640,f254]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(cons(X0,X2)) )
| ~ spl0_111 ),
inference(resolution,[],[f1641,f85]) ).
fof(f1644,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(cons(X0,X2)) )
| ~ spl0_111 ),
inference(duplicate_literal_removal,[],[f1643]) ).
fof(f1645,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2) )
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1644,f86]) ).
fof(f1646,plain,
( spl0_1
| spl0_1
| spl0_6
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1645,f1640,f271,f254,f254]) ).
fof(f2387,plain,
( ! [X1] : ~ neq(X1,X1)
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f249,f373]) ).
fof(f2388,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_10 ),
inference(resolution,[],[f290,f75]) ).
fof(f2389,plain,
( nil = sk4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f2388,f203]) ).
fof(f2390,plain,
( spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2387,f372,f274]) ).
fof(f2392,plain,
( neq(nil,nil)
| spl0_10 ),
inference(superposition,[],[f245,f2389]) ).
fof(f2402,plain,
( $false
| ~ spl0_7
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f2392,f275]) ).
fof(f2403,plain,
( ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2402]) ).
fof(f4653,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| neq(X1,X0)
| X0 = X1 )
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f105,f373]) ).
fof(f4654,plain,
( ! [X0,X1] :
( neq(X1,X0)
| X0 = X1 )
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f4653,f373]) ).
fof(f4682,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) )
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f226,f373]) ).
fof(f4738,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f4739,plain,
( sk4 = cons(hd(sk4),sk3)
| nil = sk4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f4738,f286]) ).
fof(f4819,definition,
( spl0_148
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f4820,plain,
( nil != sk4
| spl0_148 ),
inference(avatar_component_clause,[],[f4819]) ).
fof(f4821,plain,
( nil = sk4
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f4819]) ).
fof(f4823,definition,
( spl0_149
<=> sk4 = cons(hd(sk4),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f4825,plain,
( sk4 = cons(hd(sk4),sk3)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f4823]) ).
fof(f4826,plain,
( spl0_148
| spl0_149
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4739,f284,f4823,f4819]) ).
fof(f4828,plain,
( neq(nil,nil)
| ~ spl0_148 ),
inference(superposition,[],[f245,f4821]) ).
fof(f4840,plain,
( $false
| ~ spl0_7
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f4828,f275]) ).
fof(f4841,plain,
( ~ spl0_7
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f4840]) ).
fof(f5520,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_8 ),
inference(resolution,[],[f282,f102]) ).
fof(f5521,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f5520,f8]) ).
fof(f5524,plain,
( nil = sk4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f5521,f203]) ).
fof(f5525,plain,
( $false
| spl0_8
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f5524,f4820]) ).
fof(f5526,plain,
( spl0_8
| spl0_148 ),
inference(avatar_contradiction_clause,[],[f5525]) ).
fof(f9288,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f126,f373]) ).
fof(f14500,plain,
( ! [X0] : cons(X0,sk3) = app(cons(X0,nil),sk3)
| ~ spl0_36 ),
inference(resolution,[],[f9288,f202]) ).
fof(f15380,definition,
( spl0_266
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f15381,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f15380]) ).
fof(f15382,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_266 ),
inference(avatar_component_clause,[],[f15380]) ).
fof(f15390,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_266 ),
inference(resolution,[],[f15382,f86]) ).
fof(f15391,plain,
( ~ ssItem(hd(sk4))
| spl0_266 ),
inference(forward_subsumption_resolution,[],[f15390,f8]) ).
fof(f15392,plain,
( $false
| ~ spl0_36
| spl0_266 ),
inference(forward_subsumption_resolution,[],[f15391,f373]) ).
fof(f15393,plain,
( ~ spl0_36
| spl0_266 ),
inference(avatar_contradiction_clause,[],[f15392]) ).
fof(f15400,plain,
( cons(hd(sk4),nil) = app(nil,cons(hd(sk4),nil))
| ~ spl0_266 ),
inference(resolution,[],[f15381,f74]) ).
fof(f15433,plain,
( ! [X0] :
( sk4 != app(cons(hd(sk4),nil),X0)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| app(nil,X0) != sk3
| ~ neq(cons(hd(sk4),nil),nil) )
| ~ spl0_266 ),
inference(superposition,[],[f252,f15400]) ).
fof(f15440,plain,
( ! [X0] :
( sk4 != app(cons(hd(sk4),nil),X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(nil,X0) != sk3
| ~ neq(cons(hd(sk4),nil),nil) )
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f15433,f15381]) ).
fof(f15447,plain,
( ! [X0] :
( sk4 != app(cons(hd(sk4),nil),X0)
| ~ ssList(X0)
| app(nil,X0) != sk3
| ~ neq(cons(hd(sk4),nil),nil) )
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f15440,f8]) ).
fof(f15457,definition,
( spl0_269
<=> neq(cons(hd(sk4),nil),nil) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
fof(f15459,plain,
( ~ neq(cons(hd(sk4),nil),nil)
| spl0_269 ),
inference(avatar_component_clause,[],[f15457]) ).
fof(f15464,definition,
( spl0_271
<=> ! [X0] :
( sk4 != app(cons(hd(sk4),nil),X0)
| app(nil,X0) != sk3
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
fof(f15465,plain,
( ! [X0] :
( sk4 != app(cons(hd(sk4),nil),X0)
| app(nil,X0) != sk3
| ~ ssList(X0) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f15464]) ).
fof(f15466,plain,
( ~ spl0_269
| spl0_271
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f15447,f15380,f15464,f15457]) ).
fof(f15467,plain,
( nil = cons(hd(sk4),nil)
| ~ spl0_36
| spl0_269 ),
inference(resolution,[],[f15459,f4654]) ).
fof(f15502,plain,
( ~ ssList(nil)
| singletonP(nil)
| ~ spl0_36
| spl0_269 ),
inference(superposition,[],[f4682,f15467]) ).
fof(f15664,plain,
( singletonP(nil)
| ~ spl0_36
| spl0_269 ),
inference(forward_subsumption_resolution,[],[f15502,f8]) ).
fof(f15691,plain,
( $false
| ~ spl0_36
| spl0_269 ),
inference(forward_subsumption_resolution,[],[f15664,f11]) ).
fof(f15692,plain,
( ~ spl0_36
| spl0_269 ),
inference(avatar_contradiction_clause,[],[f15691]) ).
fof(f15712,plain,
( sk4 != cons(hd(sk4),sk3)
| sk3 != app(nil,sk3)
| ~ ssList(sk3)
| ~ spl0_36
| ~ spl0_271 ),
inference(superposition,[],[f15465,f14500]) ).
fof(f15714,plain,
( sk4 != cons(hd(sk4),sk3)
| ~ ssList(sk3)
| ~ spl0_36
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f15712,f74]) ).
fof(f15715,plain,
( ~ ssList(sk3)
| ~ spl0_36
| ~ spl0_149
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f15714,f4825]) ).
fof(f15716,plain,
( $false
| ~ spl0_36
| ~ spl0_149
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f15715,f202]) ).
fof(f15717,plain,
( ~ spl0_36
| ~ spl0_149
| ~ spl0_271 ),
inference(avatar_contradiction_clause,[],[f15716]) ).
cnf(s205,plain,
~ spl0_1,
inference(sat_conversion,[],[f266]) ).
cnf(s224,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f291]) ).
cnf(s235,plain,
~ spl0_6,
inference(sat_conversion,[],[f293]) ).
cnf(s365,plain,
( spl0_36
| spl0_38 ),
inference(sat_conversion,[],[f380]) ).
cnf(s1154,plain,
( spl0_1
| ~ spl0_38
| spl0_111 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s1159,plain,
( spl0_1
| spl0_1
| spl0_6
| ~ spl0_111 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s1160,plain,
( spl0_1
| spl0_6
| ~ spl0_111 ),
inference(rat,[],[s1159]) ).
cnf(s1487,plain,
( spl0_7
| ~ spl0_36 ),
inference(sat_conversion,[],[f2390]) ).
cnf(s1494,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f2403]) ).
cnf(s2454,plain,
( ~ spl0_9
| spl0_148
| spl0_149 ),
inference(sat_conversion,[],[f4826]) ).
cnf(s2460,plain,
( ~ spl0_7
| ~ spl0_148 ),
inference(sat_conversion,[],[f4841]) ).
cnf(s2876,plain,
( spl0_8
| spl0_148 ),
inference(sat_conversion,[],[f5526]) ).
cnf(s7201,plain,
( ~ spl0_36
| spl0_266 ),
inference(sat_conversion,[],[f15393]) ).
cnf(s7230,plain,
( ~ spl0_266
| ~ spl0_269
| spl0_271 ),
inference(sat_conversion,[],[f15466]) ).
cnf(s7302,plain,
( ~ spl0_36
| spl0_269 ),
inference(sat_conversion,[],[f15692]) ).
cnf(s7321,plain,
( ~ spl0_36
| ~ spl0_149
| ~ spl0_271 ),
inference(sat_conversion,[],[f15717]) ).
cnf(s7338,plain,
~ spl0_111,
inference(rat,[],[s1160,s235,s205]) ).
cnf(s7339,plain,
~ spl0_38,
inference(rat,[],[s1154,s7338,s205]) ).
cnf(s7345,plain,
spl0_36,
inference(rat,[],[s365,s7339]) ).
cnf(s7347,plain,
spl0_269,
inference(rat,[],[s7302,s7345]) ).
cnf(s7348,plain,
spl0_266,
inference(rat,[],[s7201,s7345]) ).
cnf(s7360,plain,
spl0_7,
inference(rat,[],[s1487,s7345]) ).
cnf(s7365,plain,
spl0_271,
inference(rat,[],[s7230,s7347,s7348]) ).
cnf(s7371,plain,
~ spl0_148,
inference(rat,[],[s2460,s7360]) ).
cnf(s7372,plain,
spl0_10,
inference(rat,[],[s1494,s7360]) ).
cnf(s7374,plain,
~ spl0_149,
inference(rat,[],[s7321,s7345,s7365]) ).
cnf(s7376,plain,
spl0_8,
inference(rat,[],[s2876,s7371]) ).
cnf(s7377,plain,
~ spl0_9,
inference(rat,[],[s2454,s7374,s7371]) ).
cnf(s7379,plain,
$false,
inference(rat,[],[s224,s7372,s7377,s7376]) ).
fof(f15718,plain,
$false,
inference(avatar_sat_refutation,[],[s7379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC005-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:19:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.44/1.05 % (3371248)Will run a generic schedule for satisfiability detection.
% 2.44/1.05 % (3371261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2984276716_2999 on theBenchmark for (2999ds/0Mi)
% 2.44/1.05 % (3371262)% WARNING: option uhcvi not known.
% 2.44/1.05 % TRYING [1]
% 2.44/1.05 % TRYING [2]
% 2.44/1.05 % (3371262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=172991541:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.44/1.05 % (3371265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1700689878:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.44/1.05 % (3371263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2814259845:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.44/1.05 % (3371266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2054480963:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.44/1.05 % (3371264)dis+10_1_sil=32000:sp=arity:random_seed=720949759:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.44/1.05 % (3371267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3911232733:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.44/1.05 % TRYING [3]
% 2.44/1.05 % TRYING [4]
% 2.44/1.05 % TRYING [5]
% 2.44/1.05 % (3371265)Instruction limit reached!
% 2.44/1.05 % (3371265)------------------------------
% 2.44/1.05 % (3371265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371265)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371265)Termination reason: Instruction limit
% 2.44/1.05 % (3371265)Termination phase: Saturation
% 2.44/1.05 % (3371265)Time elapsed: 0.063 s
% 2.44/1.05 % (3371265)Peak memory usage: 13 MB
% 2.44/1.05 % (3371265)Instructions burned: 116 (million)
% 2.44/1.05 % (3371266)Instruction limit reached!
% 2.44/1.05 % (3371266)------------------------------
% 2.44/1.05 % (3371266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371264)Instruction limit reached!
% 2.44/1.05 % (3371264)------------------------------
% 2.44/1.05 % (3371264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371266)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371266)Termination reason: Instruction limit
% 2.44/1.05 % (3371266)Termination phase: Saturation
% 2.44/1.05 % (3371266)Time elapsed: 0.067 s
% 2.44/1.05 % (3371264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371266)Peak memory usage: 13 MB
% 2.44/1.05 % (3371266)Instructions burned: 133 (million)
% 2.44/1.05 % (3371264)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371264)Termination reason: Instruction limit
% 2.44/1.05 % (3371264)Termination phase: Saturation
% 2.44/1.05 % (3371264)Time elapsed: 0.067 s
% 2.44/1.05 % (3371264)Peak memory usage: 13 MB
% 2.44/1.05 % (3371264)Instructions burned: 105 (million)
% 2.44/1.05 % (3371299)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2613356842:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.44/1.05 % (3371304)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2373390627:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.44/1.05 % (3371305)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2476232889:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.44/1.05 % TRYING [1]
% 2.44/1.05 % TRYING [2]
% 2.44/1.05 % (3371267)Instruction limit reached!
% 2.44/1.05 % (3371267)------------------------------
% 2.44/1.05 % (3371267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371267)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371267)Termination reason: Instruction limit
% 2.44/1.05 % (3371267)Termination phase: Saturation
% 2.44/1.05 % (3371267)Time elapsed: 0.096 s
% 2.44/1.05 % (3371267)Peak memory usage: 14 MB
% 2.44/1.05 % (3371267)Instructions burned: 160 (million)
% 2.44/1.05 % TRYING [3]
% 2.44/1.05 % (3371320)ott-21_1_sil=16000:fs=off:random_seed=8428023:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.44/1.05 % TRYING [4]
% 2.44/1.05 % TRYING [6]
% 2.44/1.05 % (3371304)Instruction limit reached!
% 2.44/1.05 % (3371304)------------------------------
% 2.44/1.05 % (3371304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371304)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371304)Termination reason: Instruction limit
% 2.44/1.05 % (3371304)Termination phase: Saturation
% 2.44/1.05 % (3371304)Time elapsed: 0.073 s
% 2.44/1.05 % (3371304)Peak memory usage: 13 MB
% 2.44/1.05 % (3371304)Instructions burned: 132 (million)
% 2.44/1.05 % (3371334)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4187153291:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.44/1.05 % TRYING [5]
% 2.44/1.05 % (3371320)Instruction limit reached!
% 2.44/1.05 % (3371320)------------------------------
% 2.44/1.05 % (3371320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371320)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371320)Termination reason: Instruction limit
% 2.44/1.05 % (3371320)Termination phase: Saturation
% 2.44/1.05 % (3371320)Time elapsed: 0.095 s
% 2.44/1.05 % (3371320)Peak memory usage: 13 MB
% 2.44/1.05 % (3371320)Instructions burned: 180 (million)
% 2.44/1.05 % (3371344)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4185005719:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.44/1.05 % TRYING [1]
% 2.44/1.05 % TRYING [2]
% 2.44/1.05 % TRYING [3]
% 2.44/1.05 % TRYING [4]
% 2.44/1.05 % TRYING [6]
% 2.44/1.05 % (3371299)Instruction limit reached!
% 2.44/1.05 % (3371299)------------------------------
% 2.44/1.05 % (3371299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371299)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371299)Termination reason: Instruction limit
% 2.44/1.05 % (3371299)Termination phase: Finite model building constraint generation
% 2.44/1.05 % (3371299)Time elapsed: 0.291 s
% 2.44/1.05 % (3371299)Peak memory usage: 36 MB
% 2.44/1.05 % (3371299)Instructions burned: 716 (million)
% 2.44/1.05 % TRYING [7]
% 2.44/1.05 % (3371363)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1081452011:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.44/1.05 % TRYING [5]
% 2.44/1.05 % (3371305)Instruction limit reached!
% 2.44/1.05 % (3371305)------------------------------
% 2.44/1.05 % (3371305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371305)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371305)Termination reason: Instruction limit
% 2.44/1.05 % (3371305)Termination phase: Saturation
% 2.44/1.05 % (3371305)Time elapsed: 0.402 s
% 2.44/1.05 % (3371305)Peak memory usage: 19 MB
% 2.44/1.05 % (3371305)Instructions burned: 684 (million)
% 2.44/1.05 % (3371334)Instruction limit reached!
% 2.44/1.05 % (3371334)------------------------------
% 2.44/1.05 % (3371334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371334)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371334)Termination reason: Instruction limit
% 2.44/1.05 % (3371334)Termination phase: Saturation
% 2.44/1.05 % (3371334)Time elapsed: 0.322 s
% 2.44/1.05 % (3371334)Peak memory usage: 14 MB
% 2.44/1.05 % (3371334)Instructions burned: 477 (million)
% 2.44/1.05 % (3371365)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1466019148:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.44/1.05 % (3371366)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=248705750:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 2.44/1.05 % (3371263) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3371248-3371263"...
% 2.44/1.05 % (3371263)...printing done.
% 2.44/1.05 % (3371263)Refutation found. Thanks to Tanya!
% 2.44/1.05 % SZS status Unsatisfiable for theBenchmark
% 2.44/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/1.05 % (3371263)------------------------------
% 2.44/1.05 % (3371263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/1.05 % (3371263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.05 % (3371263)CaDiCaL version: 2.1.3
% 2.44/1.05 % (3371263)Termination reason: Refutation
% 2.44/1.05 % (3371263)Time elapsed: 0.568 s
% 2.44/1.05 % (3371263)Peak memory usage: 23 MB
% 2.44/1.05 % (3371263)Instructions burned: 937 (million)
% 2.44/1.05 % (3371248)Success in time 0.621 s
% 2.44/1.05 % Vampire exiting
%------------------------------------------------------------------------------