%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC077-1 : 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 : n002.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 01:04:34 PM UTC 2026
% Result : Unsatisfiable 6.91s 1.54s
% Output : Refutation 6.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 48
% Syntax : Number of formulae : 187 ( 36 unt; 18 def)
% Number of atoms : 538 ( 42 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 705 ( 354 ~; 333 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
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] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(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(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
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(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',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/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
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(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(f192,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| X2 != X3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
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,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(sk3,X0)
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f214,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f229,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(f231,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f192]) ).
fof(f232,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(equality_resolution,[],[f193]) ).
fof(f241,plain,
! [X0] :
( ~ rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f245,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f252,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(skaf46(X0,X1),X1) = X0 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f264,plain,
! [X0] :
( ~ segmentP(sk4,X0)
| neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f265,plain,
! [X0] :
( ~ frontsegP(sk4,X0)
| neq(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ strictorderedP(X0) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f266,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f273,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f274,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl0_2
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f280,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f214,f277,f273]) ).
fof(f286,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f287,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f295,definition,
( spl0_6
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f296,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f314,definition,
( spl0_10
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f315,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl0_11
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f318,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f72,f317,f314]) ).
fof(f321,plain,
spl0_6,
inference(avatar_split_clause,[],[f66,f295]) ).
fof(f322,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f286]) ).
fof(f327,definition,
( spl0_12
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f328,plain,
( segmentP(sk3,sk3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( ~ segmentP(sk3,sk3)
| spl0_12 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f349,plain,
( ~ ssList(sk3)
| spl0_12 ),
inference(resolution,[],[f57,f329]) ).
fof(f351,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f349,f202]) ).
fof(f352,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f372,definition,
( spl0_19
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f374,plain,
( neq(sk3,nil)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f384,definition,
( spl0_21
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f385,plain,
( segmentP(sk4,sk3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f485,plain,
( ! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f86,f315]) ).
fof(f497,plain,
( ! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f99,f315]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f97,f315]) ).
fof(f540,plain,
( ! [X0,X1] : hd(cons(X0,skaf82(X1))) = X0
| ~ spl0_10 ),
inference(resolution,[],[f537,f13]) ).
fof(f682,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| nil = sk4 ),
inference(resolution,[],[f112,f203]) ).
fof(f684,definition,
( spl0_24
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f686,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( spl0_2
| spl0_24 ),
inference(avatar_split_clause,[],[f682,f684,f277]) ).
fof(f1314,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(resolution,[],[f143,f206]) ).
fof(f1319,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3)) ),
inference(forward_subsumption_resolution,[],[f1314,f202]) ).
fof(f1323,plain,
sk4 = app(sk3,skaf45(sk4,sk3)),
inference(forward_subsumption_resolution,[],[f1319,f203]) ).
fof(f1339,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f252,f241]) ).
fof(f1342,plain,
! [X0] :
( ~ ssList(X0)
| app(skaf46(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f1339]) ).
fof(f2243,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f232,f318]) ).
fof(f2320,definition,
( spl0_65
<=> ! [X3] : ~ ssList(X3) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f2321,plain,
( ! [X3] : ~ ssList(X3)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f2323,definition,
( spl0_66
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,cons(X2,X0)))
| ~ ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f2324,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f2379,plain,
( ! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| frontsegP(cons(X3,X0),cons(X3,X1)) )
| ~ spl0_10 ),
inference(backward_subsumption_resolution,[],[f266,f315]) ).
fof(f2909,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X0)
| frontsegP(cons(X1,X0),cons(X1,nil))
| ~ ssList(X0) )
| ~ spl0_10 ),
inference(resolution,[],[f2379,f60]) ).
fof(f5533,plain,
( $false
| ~ spl0_65 ),
inference(backward_subsumption_resolution,[],[f203,f2321]) ).
fof(f5571,plain,
~ spl0_65,
inference(avatar_contradiction_clause,[],[f5533]) ).
fof(f5583,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X0)
| frontsegP(cons(X1,X0),cons(X1,nil)) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f2909]) ).
fof(f5628,definition,
( spl0_174
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f5629,plain,
( ssList(sk3)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f5628]) ).
fof(f5669,definition,
( spl0_179
<=> ! [X0,X1] :
( ~ ssList(X0)
| frontsegP(cons(X1,X0),cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f5670,plain,
( ! [X0,X1] :
( frontsegP(cons(X1,X0),cons(X1,nil))
| ~ ssList(X0) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f5669]) ).
fof(f5711,plain,
spl0_174,
inference(avatar_split_clause,[],[f202,f5628]) ).
fof(f5997,plain,
( spl0_179
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f5583,f314,f286,f5669]) ).
fof(f9769,plain,
( sk3 = app(skaf46(sk3,sk3),sk3)
| ~ spl0_174 ),
inference(resolution,[],[f1342,f5629]) ).
fof(f9849,plain,
( frontsegP(sk4,cons(skaf83(sk4),nil))
| ~ ssList(skaf82(sk4))
| ~ spl0_24
| ~ spl0_179 ),
inference(superposition,[],[f5670,f686]) ).
fof(f9854,plain,
( frontsegP(sk4,cons(skaf83(sk4),nil))
| ~ spl0_24
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f9849,f13]) ).
fof(f11407,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ~ ssList(skaf82(sk4))
| ~ ssItem(skaf83(sk4)) )
| ~ spl0_24
| ~ spl0_66 ),
inference(superposition,[],[f2324,f686]) ).
fof(f11411,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0)
| ~ ssItem(skaf83(sk4)) )
| ~ spl0_24
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f11407,f13]) ).
fof(f11416,plain,
( ! [X0] :
( ~ ssList(app(X0,sk4))
| ~ ssList(X0) )
| ~ spl0_24
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f11411,f12]) ).
fof(f13754,plain,
( hd(sk4) = skaf83(sk4)
| ~ spl0_10
| ~ spl0_24 ),
inference(superposition,[],[f540,f686]) ).
fof(f27205,plain,
( ! [X0] :
( ~ ssList(app(sk3,X0))
| ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3) )
| ~ spl0_174 ),
inference(superposition,[],[f229,f9769]) ).
fof(f27215,plain,
( ! [X0] :
( ~ ssList(skaf46(sk3,sk3))
| ~ ssList(sk3)
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3) )
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27205,f85]) ).
fof(f27219,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| segmentP(app(sk3,X0),sk3) )
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27215,f50]) ).
fof(f27220,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27219,f5629]) ).
fof(f27504,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ spl0_174 ),
inference(superposition,[],[f27220,f1323]) ).
fof(f27516,plain,
( segmentP(sk4,sk3)
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27504,f51]) ).
fof(f27517,plain,
( spl0_21
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f27516,f5628,f384]) ).
fof(f27518,plain,
( neq(sk3,nil)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_21 ),
inference(resolution,[],[f385,f264]) ).
fof(f27526,plain,
( neq(sk3,nil)
| ~ segmentP(sk3,sk3)
| ~ spl0_21
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27518,f5629]) ).
fof(f27530,plain,
( neq(sk3,nil)
| ~ spl0_12
| ~ spl0_21
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27526,f328]) ).
fof(f27531,plain,
( spl0_19
| ~ spl0_12
| ~ spl0_21
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f27530,f5628,f384,f327,f372]) ).
fof(f27533,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| ~ spl0_19 ),
inference(resolution,[],[f374,f245]) ).
fof(f27534,plain,
( ~ ssList(nil)
| nil = sk3
| ~ spl0_19
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27533,f5629]) ).
fof(f27537,plain,
( nil = sk3
| ~ spl0_4
| ~ spl0_19
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f27534,f287]) ).
fof(f27617,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_19
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f27537,f5628,f372,f286,f273]) ).
fof(f30673,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(cons(X2,X3)) )
| ~ spl0_11 ),
inference(resolution,[],[f2243,f85]) ).
fof(f30808,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0))) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f30673,f86]) ).
fof(f30855,plain,
( spl0_65
| spl0_66
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f30808,f317,f2323,f2320]) ).
fof(f32965,plain,
( neq(sk3,cons(skaf83(sk4),nil))
| ~ ssList(cons(skaf83(sk4),nil))
| ~ segmentP(cons(skaf83(sk4),nil),sk3)
| ~ strictorderedP(cons(skaf83(sk4),nil))
| ~ spl0_24
| ~ spl0_179 ),
inference(resolution,[],[f9854,f265]) ).
fof(f32976,plain,
( neq(nil,cons(skaf83(sk4),nil))
| ~ ssList(cons(skaf83(sk4),nil))
| ~ segmentP(cons(skaf83(sk4),nil),sk3)
| ~ strictorderedP(cons(skaf83(sk4),nil))
| ~ spl0_1
| ~ spl0_24
| ~ spl0_179 ),
inference(forward_demodulation,[],[f32965,f274]) ).
fof(f32982,definition,
( spl0_587
<=> ssList(cons(skaf83(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_587])],[avatar_definition]) ).
fof(f32984,plain,
( ~ ssList(cons(skaf83(sk4),nil))
| spl0_587 ),
inference(avatar_component_clause,[],[f32982]) ).
fof(f33007,plain,
( ~ segmentP(cons(skaf83(sk4),nil),nil)
| neq(nil,cons(skaf83(sk4),nil))
| ~ ssList(cons(skaf83(sk4),nil))
| ~ strictorderedP(cons(skaf83(sk4),nil))
| ~ spl0_1
| ~ spl0_24
| ~ spl0_179 ),
inference(forward_demodulation,[],[f32976,f274]) ).
fof(f33008,plain,
( neq(nil,cons(skaf83(sk4),nil))
| ~ ssList(cons(skaf83(sk4),nil))
| ~ strictorderedP(cons(skaf83(sk4),nil))
| ~ spl0_1
| ~ spl0_24
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f33007,f56]) ).
fof(f33010,definition,
( spl0_593
<=> strictorderedP(cons(skaf83(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_593])],[avatar_definition]) ).
fof(f33012,plain,
( ~ strictorderedP(cons(skaf83(sk4),nil))
| spl0_593 ),
inference(avatar_component_clause,[],[f33010]) ).
fof(f33014,definition,
( spl0_594
<=> neq(nil,cons(skaf83(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_594])],[avatar_definition]) ).
fof(f33016,plain,
( neq(nil,cons(skaf83(sk4),nil))
| ~ spl0_594 ),
inference(avatar_component_clause,[],[f33014]) ).
fof(f33017,plain,
( ~ spl0_593
| ~ spl0_587
| spl0_594
| ~ spl0_1
| ~ spl0_24
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f33008,f5669,f684,f273,f33014,f32982,f33010]) ).
fof(f33018,plain,
( ~ ssList(nil)
| ~ ssItem(skaf83(sk4))
| spl0_587 ),
inference(resolution,[],[f32984,f86]) ).
fof(f33019,plain,
( ~ ssItem(skaf83(sk4))
| ~ spl0_4
| spl0_587 ),
inference(forward_subsumption_resolution,[],[f33018,f287]) ).
fof(f33020,plain,
( $false
| ~ spl0_4
| spl0_587 ),
inference(forward_subsumption_resolution,[],[f33019,f12]) ).
fof(f33021,plain,
( ~ spl0_4
| spl0_587 ),
inference(avatar_contradiction_clause,[],[f33020]) ).
fof(f33191,plain,
( ~ ssItem(skaf83(sk4))
| ~ spl0_6
| spl0_593 ),
inference(resolution,[],[f33012,f296]) ).
fof(f33194,plain,
( $false
| ~ spl0_6
| spl0_593 ),
inference(forward_subsumption_resolution,[],[f33191,f12]) ).
fof(f33195,plain,
( ~ spl0_6
| spl0_593 ),
inference(avatar_contradiction_clause,[],[f33194]) ).
fof(f33200,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_24
| ~ spl0_66 ),
inference(resolution,[],[f11416,f85]) ).
fof(f33203,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk4) )
| ~ spl0_24
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f33200]) ).
fof(f33206,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl0_24
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f33203,f203]) ).
fof(f33215,plain,
( spl0_65
| ~ spl0_24
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f33206,f2323,f684,f2320]) ).
fof(f35112,definition,
( spl0_621
<=> neq(nil,cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_621])],[avatar_definition]) ).
fof(f35114,plain,
( neq(nil,cons(hd(sk4),nil))
| ~ spl0_621 ),
inference(avatar_component_clause,[],[f35112]) ).
fof(f38154,plain,
( neq(nil,cons(hd(sk4),nil))
| ~ spl0_10
| ~ spl0_24
| ~ spl0_594 ),
inference(forward_demodulation,[],[f33016,f13754]) ).
fof(f38567,plain,
( spl0_621
| ~ spl0_10
| ~ spl0_24
| ~ spl0_594 ),
inference(avatar_split_clause,[],[f38154,f33014,f684,f314,f35112]) ).
fof(f38662,plain,
( ~ ssList(nil)
| ~ ssList(cons(hd(sk4),nil))
| nil = cons(hd(sk4),nil)
| ~ spl0_621 ),
inference(resolution,[],[f35114,f245]) ).
fof(f38663,plain,
( ~ ssList(nil)
| nil = cons(hd(sk4),nil)
| ~ spl0_10
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f38662,f485]) ).
fof(f38666,plain,
( ~ ssList(nil)
| ~ spl0_10
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f38663,f497]) ).
fof(f38667,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_621 ),
inference(forward_subsumption_resolution,[],[f38666,f287]) ).
fof(f38668,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_621 ),
inference(avatar_contradiction_clause,[],[f38667]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f280]) ).
cnf(s8,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f319]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f321]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f322]) ).
cnf(s14,plain,
spl0_12,
inference(sat_conversion,[],[f352]) ).
cnf(s20,plain,
( spl0_2
| spl0_24 ),
inference(sat_conversion,[],[f687]) ).
cnf(s199,plain,
~ spl0_65,
inference(sat_conversion,[],[f5571]) ).
cnf(s233,plain,
spl0_174,
inference(sat_conversion,[],[f5711]) ).
cnf(s359,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_179 ),
inference(sat_conversion,[],[f5997]) ).
cnf(s2734,plain,
( spl0_21
| ~ spl0_174 ),
inference(sat_conversion,[],[f27517]) ).
cnf(s2735,plain,
( ~ spl0_12
| spl0_19
| ~ spl0_21
| ~ spl0_174 ),
inference(sat_conversion,[],[f27531]) ).
cnf(s2760,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_19
| ~ spl0_174 ),
inference(sat_conversion,[],[f27617]) ).
cnf(s2983,plain,
( ~ spl0_11
| spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f30855]) ).
cnf(s3074,plain,
( ~ spl0_1
| ~ spl0_24
| ~ spl0_179
| ~ spl0_587
| ~ spl0_593
| spl0_594 ),
inference(sat_conversion,[],[f33017]) ).
cnf(s3075,plain,
( ~ spl0_4
| spl0_587 ),
inference(sat_conversion,[],[f33021]) ).
cnf(s3086,plain,
( ~ spl0_6
| spl0_593 ),
inference(sat_conversion,[],[f33195]) ).
cnf(s3091,plain,
( ~ spl0_24
| spl0_65
| ~ spl0_66 ),
inference(sat_conversion,[],[f33215]) ).
cnf(s3460,plain,
( ~ spl0_10
| ~ spl0_24
| ~ spl0_594
| spl0_621 ),
inference(sat_conversion,[],[f38567]) ).
cnf(s3474,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_621 ),
inference(sat_conversion,[],[f38668]) ).
cnf(s3506,plain,
spl0_21,
inference(rat,[],[s2734,s233]) ).
cnf(s3529,plain,
spl0_19,
inference(rat,[],[s2735,s233,s3506,s14]) ).
cnf(s3532,plain,
spl0_587,
inference(rat,[],[s3075,s11]) ).
cnf(s3533,plain,
spl0_1,
inference(rat,[],[s2760,s233,s3529,s11]) ).
cnf(s3550,plain,
spl0_593,
inference(rat,[],[s3086,s10]) ).
cnf(s3565,plain,
~ spl0_2,
inference(rat,[],[s1,s3533]) ).
cnf(s3576,plain,
spl0_24,
inference(rat,[],[s20,s3565]) ).
cnf(s3599,plain,
~ spl0_66,
inference(rat,[],[s3091,s199,s3576]) ).
cnf(s3614,plain,
~ spl0_11,
inference(rat,[],[s2983,s199,s3599]) ).
cnf(s3621,plain,
spl0_10,
inference(rat,[],[s8,s3614]) ).
cnf(s3630,plain,
~ spl0_621,
inference(rat,[],[s3474,s11,s3621]) ).
cnf(s3631,plain,
~ spl0_594,
inference(rat,[],[s3460,s3630,s3576,s3621]) ).
cnf(s3663,plain,
spl0_179,
inference(rat,[],[s359,s11,s3621]) ).
cnf(s3672,plain,
$false,
inference(rat,[],[s3074,s3576,s3550,s3532,s3533,s3631,s3663]) ).
fof(f38669,plain,
$false,
inference(avatar_sat_refutation,[],[s3672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC077-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:48:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 6.91/1.54 % (194757)Will run a generic schedule for satisfiability detection.
% 6.91/1.54 % (194765)dis+10_1_sil=32000:sp=arity:random_seed=3663519537:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.91/1.54 % (194763)% WARNING: option uhcvi not known.
% 6.91/1.54 % (194762)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1536810114_2999 on theBenchmark for (2999ds/0Mi)
% 6.91/1.54 % (194763)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2649648411:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.91/1.54 % (194764)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2081062452:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.91/1.54 % (194766)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4256460562:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.91/1.54 % (194768)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3375180245:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.91/1.54 % TRYING [1]
% 6.91/1.54 % TRYING [2]
% 6.91/1.54 % (194767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3820587837:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.91/1.54 % TRYING [3]
% 6.91/1.54 % (194765)Instruction limit reached!
% 6.91/1.54 % (194765)------------------------------
% 6.91/1.54 % (194765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194765)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194765)Termination reason: Instruction limit
% 6.91/1.54 % (194765)Termination phase: Saturation
% 6.91/1.54 % (194765)Time elapsed: 0.034 s
% 6.91/1.54 % (194765)Peak memory usage: 13 MB
% 6.91/1.54 % (194765)Instructions burned: 104 (million)
% 6.91/1.54 % TRYING [4]
% 6.91/1.54 % (194776)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1226816510:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.91/1.54 % TRYING [1]
% 6.91/1.54 % TRYING [2]
% 6.91/1.54 % TRYING [3]
% 6.91/1.54 % TRYING [4]
% 6.91/1.54 % (194766)Instruction limit reached!
% 6.91/1.54 % (194766)------------------------------
% 6.91/1.54 % (194766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194766)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194766)Termination reason: Instruction limit
% 6.91/1.54 % (194766)Termination phase: Saturation
% 6.91/1.54 % (194766)Time elapsed: 0.063 s
% 6.91/1.54 % (194766)Peak memory usage: 13 MB
% 6.91/1.54 % (194766)Instructions burned: 117 (million)
% 6.91/1.54 % (194783)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1800871402:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.91/1.54 % TRYING [5]
% 6.91/1.54 % (194767)Instruction limit reached!
% 6.91/1.54 % (194767)------------------------------
% 6.91/1.54 % (194767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194767)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194767)Termination reason: Instruction limit
% 6.91/1.54 % (194767)Termination phase: Saturation
% 6.91/1.54 % (194767)Time elapsed: 0.083 s
% 6.91/1.54 % (194767)Peak memory usage: 14 MB
% 6.91/1.54 % (194767)Instructions burned: 133 (million)
% 6.91/1.54 % TRYING [5]
% 6.91/1.54 % (194768)Instruction limit reached!
% 6.91/1.54 % (194768)------------------------------
% 6.91/1.54 % (194768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194768)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194768)Termination reason: Instruction limit
% 6.91/1.54 % (194768)Termination phase: Saturation
% 6.91/1.54 % (194768)Time elapsed: 0.093 s
% 6.91/1.54 % (194768)Peak memory usage: 13 MB
% 6.91/1.54 % (194768)Instructions burned: 160 (million)
% 6.91/1.54 % (194792)ott-21_1_sil=16000:fs=off:random_seed=242440993:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.91/1.54 % (194791)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=1652104484:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.91/1.54 % (194783)Instruction limit reached!
% 6.91/1.54 % (194783)------------------------------
% 6.91/1.54 % (194783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194783)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194783)Termination reason: Instruction limit
% 6.91/1.54 % (194783)Termination phase: Saturation
% 6.91/1.54 % (194783)Time elapsed: 0.075 s
% 6.91/1.54 % (194783)Peak memory usage: 14 MB
% 6.91/1.54 % (194783)Instructions burned: 131 (million)
% 6.91/1.54 % (194809)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=895213168:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.91/1.54 % TRYING [6]
% 6.91/1.54 % (194776)Instruction limit reached!
% 6.91/1.54 % (194776)------------------------------
% 6.91/1.54 % (194776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194776)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194776)Termination reason: Instruction limit
% 6.91/1.54 % (194776)Termination phase: Finite model building constraint generation
% 6.91/1.54 % (194776)Time elapsed: 0.152 s
% 6.91/1.54 % (194776)Peak memory usage: 36 MB
% 6.91/1.54 % (194776)Instructions burned: 718 (million)
% 6.91/1.54 % (194821)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1104126971:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.91/1.54 % TRYING [1]
% 6.91/1.54 % TRYING [2]
% 6.91/1.54 % (194792)Instruction limit reached!
% 6.91/1.54 % (194792)------------------------------
% 6.91/1.54 % (194792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194792)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194792)Termination reason: Instruction limit
% 6.91/1.54 % (194792)Termination phase: Saturation
% 6.91/1.54 % (194792)Time elapsed: 0.091 s
% 6.91/1.54 % (194792)Peak memory usage: 13 MB
% 6.91/1.54 % (194792)Instructions burned: 180 (million)
% 6.91/1.54 % TRYING [3]
% 6.91/1.54 % (194828)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2490953736:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.91/1.54 % TRYING [4]
% 6.91/1.54 % TRYING [6]
% 6.91/1.54 % TRYING [5]
% 6.91/1.54 % (194821)Instruction limit reached!
% 6.91/1.54 % (194821)------------------------------
% 6.91/1.54 % (194821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194821)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194821)Termination reason: Instruction limit
% 6.91/1.54 % (194821)Termination phase: Finite model building SAT solving
% 6.91/1.54 % (194821)Time elapsed: 0.177 s
% 6.91/1.54 % (194821)Peak memory usage: 22 MB
% 6.91/1.54 % (194821)Instructions burned: 869 (million)
% 6.91/1.54 % (194876)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1169743742:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.91/1.54 % TRYING [14]
% 6.91/1.54 % (194809)Instruction limit reached!
% 6.91/1.54 % (194809)------------------------------
% 6.91/1.54 % (194809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194809)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194809)Termination reason: Instruction limit
% 6.91/1.54 % (194809)Termination phase: Saturation
% 6.91/1.54 % (194809)Time elapsed: 0.312 s
% 6.91/1.54 % (194809)Peak memory usage: 14 MB
% 6.91/1.54 % (194809)Instructions burned: 477 (million)
% 6.91/1.54 % (194893)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=2044446901: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)
% 6.91/1.54 % (194791)Instruction limit reached!
% 6.91/1.54 % (194791)------------------------------
% 6.91/1.54 % (194791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194791)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194791)Termination reason: Instruction limit
% 6.91/1.54 % (194791)Termination phase: Saturation
% 6.91/1.54 % (194791)Time elapsed: 0.420 s
% 6.91/1.54 % (194791)Peak memory usage: 16 MB
% 6.91/1.54 % (194791)Instructions burned: 687 (million)
% 6.91/1.54 % (194895)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3794630018:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.91/1.54 % (194876)Instruction limit reached!
% 6.91/1.54 % (194876)------------------------------
% 6.91/1.54 % (194876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194876)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194876)Termination reason: Instruction limit
% 6.91/1.54 % (194876)Termination phase: Finite model building constraint generation
% 6.91/1.54 % (194876)Time elapsed: 0.177 s
% 6.91/1.54 % (194876)Peak memory usage: 73 MB
% 6.91/1.54 % (194876)Instructions burned: 892 (million)
% 6.91/1.54 % (194899)fmb+10_1_sil=64000:random_seed=1081028033:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.91/1.54 % TRYING [1]
% 6.91/1.54 % TRYING [2]
% 6.91/1.54 % TRYING [3]
% 6.91/1.54 % TRYING [4]
% 6.91/1.54 % TRYING [7]
% 6.91/1.54 % TRYING [5]
% 6.91/1.54 % (194828)Instruction limit reached!
% 6.91/1.54 % (194828)------------------------------
% 6.91/1.54 % (194828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194828)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194828)Termination reason: Instruction limit
% 6.91/1.54 % (194828)Termination phase: Saturation
% 6.91/1.54 % (194828)Time elapsed: 0.679 s
% 6.91/1.54 % (194828)Peak memory usage: 28 MB
% 6.91/1.54 % (194828)Instructions burned: 1180 (million)
% 6.91/1.54 % (194893)Instruction limit reached!
% 6.91/1.54 % (194893)------------------------------
% 6.91/1.54 % (194893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194893)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194893)Termination reason: Instruction limit
% 6.91/1.54 % (194893)Termination phase: Saturation
% 6.91/1.54 % (194893)Time elapsed: 0.407 s
% 6.91/1.54 % (194893)Peak memory usage: 22 MB
% 6.91/1.54 % (194893)Instructions burned: 692 (million)
% 6.91/1.54 % (194930)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=982775443:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.91/1.54 % (194933)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2681231524:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.91/1.54 % TRYING [20]
% 6.91/1.54 % TRYING [8]
% 6.91/1.54 % (194895)Instruction limit reached!
% 6.91/1.54 % (194895)------------------------------
% 6.91/1.54 % (194895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194895)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194895)Termination reason: Instruction limit
% 6.91/1.54 % (194895)Termination phase: Saturation
% 6.91/1.54 % (194895)Time elapsed: 0.471 s
% 6.91/1.54 % (194895)Peak memory usage: 21 MB
% 6.91/1.54 % (194895)Instructions burned: 879 (million)
% 6.91/1.54 % TRYING [6]
% 6.91/1.54 % (194981)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3535404267:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.91/1.54 % (194763) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-194757-194763"...
% 6.91/1.54 % (194763)...printing done.
% 6.91/1.54 % (194763)Refutation found. Thanks to Tanya!
% 6.91/1.54 % SZS status Unsatisfiable for theBenchmark
% 6.91/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.91/1.54 % (194763)------------------------------
% 6.91/1.54 % (194763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.54 % (194763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.54 % (194763)CaDiCaL version: 2.1.3
% 6.91/1.54 % (194763)Termination reason: Refutation
% 6.91/1.54 % (194763)Time elapsed: 1.067 s
% 6.91/1.54 % (194763)Peak memory usage: 25 MB
% 6.91/1.54 % (194763)Instructions burned: 1868 (million)
% 6.91/1.54 % (194757)Success in time 1.124 s
% 6.91/1.54 % Vampire exiting
%------------------------------------------------------------------------------