%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC057-1 : 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 : n004.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 01:04:29 PM UTC 2026
% Result : Unsatisfiable 1.87s 0.89s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 31
% Syntax : Number of formulae : 129 ( 22 unt; 8 def)
% Number of atoms : 382 ( 42 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 422 ( 169 ~; 245 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f142,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
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/Axioms/SWC001-0.ax',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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(f207,negated_conjecture,
! [X0] :
( nil = sk2
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( nil != sk1
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f214,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f215,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f217,plain,
! [X0] :
( nil = sk4
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f204,f205]) ).
fof(f218,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f208,f205,f204]) ).
fof(f219,plain,
! [X0] :
( nil != sk3
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f209,f205,f204,f205]) ).
fof(f220,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f248,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f289,plain,
! [X0,X1] : ~ ssList(skaf46(X0,X1)),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f290,plain,
! [X0,X1] : ~ ssList(skaf45(X0,X1)),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f294,plain,
! [X0] :
( ~ segmentP(X0,nil)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f295,plain,
! [X0] :
( ~ segmentP(X0,X0)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f297,plain,
! [X0] :
( rearsegP(X0,X0)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f317,plain,
( ssList(nil)
| ~ segmentP(nil,nil) ),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f323,plain,
! [X0,X1] :
( ~ ssList(app(X1,X0))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f356,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f369,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ssList(X1)
| ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f370,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ssList(X1)
| ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X2)
| segmentP(X1,X2)
| ssList(X2)
| ssList(X1)
| ssList(X0)
| segmentP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ segmentP(app(app(X0,X1),X2),X1)
| ssList(X0)
| ssList(X1)
| ssList(app(app(X0,X1),X2))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f234]) ).
fof(f424,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f425,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f428,plain,
! [X0] :
( nil = sk4
| ssList(X0)
| ~ neq(X0,nil)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f429,plain,
! [X0] :
( nil != sk3
| ssList(X0)
| ~ neq(X0,nil)
| segmentP(sk4,X0)
| segmentP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f431,plain,
( nil = sk3
| ~ frontsegP(sk4,sk3) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f439,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f441,plain,
( ~ frontsegP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f443,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f445,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f431,f443,f439]) ).
fof(f448,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f450,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f443,f448]) ).
fof(f453,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f455,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f453,f448]) ).
fof(f459,definition,
( spl0_5
<=> ! [X0] :
( ssList(X0)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ~ neq(X0,nil) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f460,plain,
( ! [X0] :
( ~ neq(X0,nil)
| segmentP(sk3,X0)
| segmentP(sk4,X0)
| ssList(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f429,f443,f459]) ).
fof(f463,definition,
( spl0_6
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f465,plain,
( neq(sk4,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,plain,
( spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f443,f463]) ).
fof(f467,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f428,f453,f459]) ).
fof(f474,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f475,plain,
( ~ ssList(nil)
| spl0_8 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f497,definition,
( spl0_13
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f499,plain,
( ~ segmentP(nil,nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( ~ spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f317,f474,f497]) ).
fof(f510,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f248,f474]) ).
fof(f609,plain,
( segmentP(sk3,sk3)
| segmentP(sk4,sk3)
| ssList(sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f460,f450]) ).
fof(f610,plain,
( segmentP(sk3,sk4)
| segmentP(sk4,sk4)
| ssList(sk4)
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f460,f465]) ).
fof(f611,plain,
( segmentP(sk3,sk4)
| ssList(sk4)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f610,f295]) ).
fof(f612,plain,
( segmentP(sk4,sk3)
| ssList(sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f609,f295]) ).
fof(f613,plain,
( segmentP(sk3,sk4)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f611,f425]) ).
fof(f614,plain,
( segmentP(sk4,sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f612,f424]) ).
fof(f1366,plain,
! [X0] :
( ssList(X0)
| ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ssList(X0) ),
inference(resolution,[],[f369,f297]) ).
fof(f1369,plain,
! [X0] :
( ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f1366]) ).
fof(f1375,plain,
( ssList(sk3)
| ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_1 ),
inference(resolution,[],[f370,f441]) ).
fof(f1387,plain,
( ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1375,f424]) ).
fof(f1388,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1387,f425]) ).
fof(f1524,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ssList(sk3)
| ssList(X0)
| ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f390,f614]) ).
fof(f1531,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ssList(X0)
| ssList(sk4)
| segmentP(sk4,X0) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1524,f424]) ).
fof(f1535,plain,
( ! [X0] :
( segmentP(X0,sk3)
| segmentP(sk4,X0)
| ssList(X0) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1531,f425]) ).
fof(f2818,plain,
( nil != sk4
| ssList(skaf45(sk4,sk3))
| ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(superposition,[],[f356,f1388]) ).
fof(f8767,plain,
( segmentP(nil,sk3)
| ssList(nil)
| ssList(sk4)
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1535,f294]) ).
fof(f8772,plain,
( segmentP(nil,sk3)
| ssList(sk4)
| ~ spl0_3
| ~ spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f8767,f475]) ).
fof(f8777,plain,
( segmentP(nil,sk3)
| ~ spl0_3
| ~ spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f8772,f425]) ).
fof(f11064,plain,
sk3 = app(skaf46(sk3,sk3),sk3),
inference(resolution,[],[f1369,f424]) ).
fof(f13523,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(skaf46(sk3,sk3))
| ssList(sk3)
| ssList(app(sk3,X0))
| ssList(X0) ),
inference(superposition,[],[f411,f11064]) ).
fof(f13528,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(skaf46(sk3,sk3))
| ssList(sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f13523,f323]) ).
fof(f13536,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f13528,f289]) ).
fof(f13543,plain,
! [X0] :
( ~ segmentP(app(sk3,X0),sk3)
| ssList(X0) ),
inference(forward_subsumption_resolution,[],[f13536,f424]) ).
fof(f14822,plain,
( segmentP(nil,nil)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_8 ),
inference(superposition,[],[f8777,f445]) ).
fof(f14866,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_8
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f14822,f499]) ).
fof(f14867,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_8
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f14866]) ).
fof(f15063,plain,
( segmentP(sk3,nil)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f613,f455]) ).
fof(f15155,plain,
( segmentP(nil,nil)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f15063,f445]) ).
fof(f15167,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f15155,f499]) ).
fof(f15168,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f15167]) ).
fof(f15563,plain,
( nil != sk4
| ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f2818,f290]) ).
fof(f15739,plain,
( nil != sk4
| nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f15563,f424]) ).
fof(f15756,plain,
( spl0_2
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f15739,f439,f453,f443]) ).
fof(f18381,plain,
( ~ segmentP(sk4,sk3)
| ssList(skaf45(sk4,sk3))
| spl0_1 ),
inference(superposition,[],[f13543,f1388]) ).
fof(f18384,plain,
( ssList(skaf45(sk4,sk3))
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f18381,f614]) ).
fof(f18389,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f18384,f290]) ).
fof(f18390,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f18389]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f446]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f451]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f457]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f461]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f466]) ).
cnf(s7,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f467]) ).
cnf(s14,plain,
( spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f500]) ).
cnf(s18,plain,
~ spl0_8,
inference(sat_conversion,[],[f510]) ).
cnf(s561,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f14867]) ).
cnf(s606,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f15168]) ).
cnf(s843,plain,
( spl0_1
| spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f15756]) ).
cnf(s1006,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f18390]) ).
cnf(s1056,plain,
~ spl0_13,
inference(rat,[],[s14,s18]) ).
cnf(s1060,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s1006,s7,s2,s843]) ).
cnf(s1061,plain,
( ~ spl0_5
| ~ spl0_2
| ~ spl0_6 ),
inference(rat,[],[s4,s561,s606,s1056,s18]) ).
cnf(s1062,plain,
~ spl0_2,
inference(rat,[],[s1061,s5,s6]) ).
cnf(s1063,plain,
spl0_1,
inference(rat,[],[s1060,s1062]) ).
cnf(s1080,plain,
$false,
inference(rat,[],[s1,s1062,s1063]) ).
fof(f18394,plain,
$false,
inference(avatar_sat_refutation,[],[s1080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:38:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.41 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
% 1.87/0.89 % (186822)Will run a generic schedule for satisfiability detection.
% 1.87/0.89 % (186830)dis+10_1_sil=32000:sp=arity:random_seed=2075892342:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.87/0.89 % (186829)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=597071578:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.87/0.89 % (186827)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1113424834_2999 on theBenchmark for (2999ds/0Mi)
% 1.87/0.89 % (186831)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4128749985:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.87/0.89 % (186828)% WARNING: option uhcvi not known.
% 1.87/0.89 % (186832)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3758017615:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.87/0.89 % (186828)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1561953100:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % (186833)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1923003065:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % (186831)Instruction limit reached!
% 1.87/0.89 % (186831)------------------------------
% 1.87/0.89 % (186831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186831)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186831)Termination reason: Instruction limit
% 1.87/0.89 % (186831)Termination phase: Saturation
% 1.87/0.89 % (186831)Time elapsed: 0.050 s
% 1.87/0.89 % (186831)Peak memory usage: 13 MB
% 1.87/0.89 % (186831)Instructions burned: 117 (million)
% 1.87/0.89 % (186830)Instruction limit reached!
% 1.87/0.89 % (186830)------------------------------
% 1.87/0.89 % (186830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186830)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186830)Termination reason: Instruction limit
% 1.87/0.89 % (186830)Termination phase: Saturation
% 1.87/0.89 % (186830)Time elapsed: 0.066 s
% 1.87/0.89 % (186830)Peak memory usage: 13 MB
% 1.87/0.89 % (186830)Instructions burned: 103 (million)
% 1.87/0.89 % (186841)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1805032753:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % (186842)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1115060776:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % (186832)Instruction limit reached!
% 1.87/0.89 % (186832)------------------------------
% 1.87/0.89 % (186832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186832)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186832)Termination reason: Instruction limit
% 1.87/0.89 % (186832)Termination phase: Saturation
% 1.87/0.89 % (186832)Time elapsed: 0.068 s
% 1.87/0.89 % (186832)Peak memory usage: 14 MB
% 1.87/0.89 % (186832)Instructions burned: 132 (million)
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % (186845)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=3703743387:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.87/0.89 % TRYING [5]
% 1.87/0.89 % (186833)Instruction limit reached!
% 1.87/0.89 % (186833)------------------------------
% 1.87/0.89 % (186833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186833)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186833)Termination reason: Instruction limit
% 1.87/0.89 % (186833)Termination phase: Saturation
% 1.87/0.89 % (186833)Time elapsed: 0.094 s
% 1.87/0.89 % (186833)Peak memory usage: 14 MB
% 1.87/0.89 % (186833)Instructions burned: 160 (million)
% 1.87/0.89 % TRYING [5]
% 1.87/0.89 % (186847)ott-21_1_sil=16000:fs=off:random_seed=3988938986:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.87/0.89 % (186842)Instruction limit reached!
% 1.87/0.89 % (186842)------------------------------
% 1.87/0.89 % (186842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186842)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186842)Termination reason: Instruction limit
% 1.87/0.89 % (186842)Termination phase: Saturation
% 1.87/0.89 % (186842)Time elapsed: 0.068 s
% 1.87/0.89 % (186842)Peak memory usage: 14 MB
% 1.87/0.89 % (186842)Instructions burned: 134 (million)
% 1.87/0.89 % (186849)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2769165974:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.87/0.89 % TRYING [6]
% 1.87/0.89 % (186841)Instruction limit reached!
% 1.87/0.89 % (186841)------------------------------
% 1.87/0.89 % (186841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186841)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186841)Termination reason: Instruction limit
% 1.87/0.89 % (186841)Termination phase: Finite model building constraint generation
% 1.87/0.89 % (186841)Time elapsed: 0.150 s
% 1.87/0.89 % (186841)Peak memory usage: 36 MB
% 1.87/0.89 % (186841)Instructions burned: 720 (million)
% 1.87/0.89 % (186847)Instruction limit reached!
% 1.87/0.89 % (186847)------------------------------
% 1.87/0.89 % (186847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186847)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186847)Termination reason: Instruction limit
% 1.87/0.89 % (186847)Termination phase: Saturation
% 1.87/0.89 % (186847)Time elapsed: 0.091 s
% 1.87/0.89 % (186847)Peak memory usage: 13 MB
% 1.87/0.89 % (186847)Instructions burned: 181 (million)
% 1.87/0.89 % (186851)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=636694904:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % (186852)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2928980424:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % TRYING [6]
% 1.87/0.89 % TRYING [5]
% 1.87/0.89 % (186828) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-186822-186828"...
% 1.87/0.89 % (186851)Instruction limit reached!
% 1.87/0.89 % (186851)------------------------------
% 1.87/0.89 % (186851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186851)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186851)Termination reason: Instruction limit
% 1.87/0.89 % (186851)Termination phase: Finite model building SAT solving
% 1.87/0.89 % (186851)Time elapsed: 0.178 s
% 1.87/0.89 % (186851)Peak memory usage: 23 MB
% 1.87/0.89 % (186851)Instructions burned: 866 (million)
% 1.87/0.89 % (186828)...printing done.
% 1.87/0.89 % (186828)Refutation found. Thanks to Tanya!
% 1.87/0.89 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.89 % (186828)------------------------------
% 1.87/0.89 % (186828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (186828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (186828)CaDiCaL version: 2.1.3
% 1.87/0.89 % (186828)Termination reason: Refutation
% 1.87/0.89 % (186828)Time elapsed: 0.396 s
% 1.87/0.89 % (186828)Peak memory usage: 19 MB
% 1.87/0.89 % (186828)Instructions burned: 713 (million)
% 1.87/0.89 % (186822)Success in time 0.472 s
% 1.87/0.89 % Vampire exiting
%------------------------------------------------------------------------------