%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC214+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:08 PM UTC 2026
% Result : Theorem 18.01s 4.72s
% Output : Refutation 18.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 190 ( 30 unt; 13 def)
% Number of atoms : 594 ( 79 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 697 ( 293 ~; 317 |; 34 &)
% ( 23 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 105 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| neq(X0,nil) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| neq(X0,nil) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f182,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ~ neq(X0,nil)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ~ neq(X0,nil)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(sK5(X0,X1))
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f305,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f337,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f345,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f346,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f359,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f175]) ).
fof(f374,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f411,plain,
! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK49)
| ~ frontsegP(sK50,X4)
| ~ neq(sK49,X4)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
~ neq(sK47,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f416,f418]) ).
fof(f425,plain,
~ neq(sK49,nil),
inference(definition_unfolding,[],[f413,f417]) ).
fof(f428,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f234]) ).
fof(f442,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(equality_resolution,[],[f344]) ).
fof(f443,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f346]) ).
fof(f452,plain,
! [X0,X1] :
( ssList(sK5(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| frontsegP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f453,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f502,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(consistent_polarity_flipping,[],[f442]) ).
fof(f505,plain,
! [X0] :
( ~ frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f345]) ).
fof(f507,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(consistent_polarity_flipping,[],[f443]) ).
fof(f519,plain,
! [X0] :
( ~ segmentP(X0,nil)
| ~ ssList(X0) ),
inference(consistent_polarity_flipping,[],[f359]) ).
fof(f546,plain,
! [X4] :
( ~ neq(sK49,X4)
| segmentP(X4,sK49)
| frontsegP(sK50,X4)
| ~ strictorderedP(X4)
| ~ ssList(X4) ),
inference(consistent_polarity_flipping,[],[f411]) ).
fof(f549,plain,
! [X2,X3,X1] :
( ~ frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f559,definition,
( spl51_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f560,plain,
( ssList(nil)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f564,definition,
( spl51_3
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f565,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
spl51_3,
inference(avatar_split_clause,[],[f374,f564]) ).
fof(f584,definition,
( spl51_7
<=> frontsegP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).
fof(f586,plain,
( ~ frontsegP(nil,nil)
| spl51_7 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( ~ spl51_7
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f507,f559,f584]) ).
fof(f588,plain,
spl51_2,
inference(avatar_split_clause,[],[f306,f559]) ).
fof(f663,definition,
( spl51_10
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_10])],[avatar_definition]) ).
fof(f665,plain,
( nil = sK49
| ~ spl51_10 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f671,plain,
( ~ ssList(nil)
| nil = sK49
| ~ ssList(sK49) ),
inference(resolution,[],[f303,f425]) ).
fof(f672,plain,
! [X0] :
( ~ ssList(X0)
| sK49 = X0
| ~ ssList(sK49)
| segmentP(X0,sK49)
| frontsegP(sK50,X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f303,f546]) ).
fof(f677,plain,
! [X0] :
( ~ ssList(X0)
| sK49 = X0
| ~ ssList(sK49)
| segmentP(X0,sK49)
| frontsegP(sK50,X0)
| ~ strictorderedP(X0) ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f678,plain,
! [X0] :
( ~ ssList(X0)
| sK49 = X0
| segmentP(X0,sK49)
| frontsegP(sK50,X0)
| ~ strictorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f677,f419]) ).
fof(f679,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl51_2 ),
inference(forward_subsumption_resolution,[],[f671,f560]) ).
fof(f680,plain,
( nil = sK49
| ~ spl51_2 ),
inference(forward_subsumption_resolution,[],[f679,f419]) ).
fof(f681,plain,
( spl51_10
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f680,f559,f663]) ).
fof(f684,plain,
( ~ neq(nil,nil)
| ~ spl51_10 ),
inference(superposition,[],[f425,f665]) ).
fof(f756,definition,
( spl51_13
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_13])],[avatar_definition]) ).
fof(f757,plain,
( nil != sK50
| spl51_13 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( nil = sK50
| ~ spl51_13 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f793,plain,
( neq(nil,nil)
| ~ spl51_13 ),
inference(superposition,[],[f424,f758]) ).
fof(f795,plain,
( $false
| ~ spl51_10
| ~ spl51_13 ),
inference(forward_subsumption_resolution,[],[f793,f684]) ).
fof(f796,plain,
( ~ spl51_10
| ~ spl51_13 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f923,plain,
! [X0,X1] :
( frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| sK5(X1,X0) = app(nil,sK5(X1,X0)) ),
inference(resolution,[],[f452,f320]) ).
fof(f990,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f412]) ).
fof(f991,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_13 ),
inference(forward_subsumption_resolution,[],[f990,f757]) ).
fof(f1272,plain,
( ~ ssList(nil)
| nil = app(nil,sK5(nil,nil))
| ~ ssList(nil)
| spl51_7 ),
inference(resolution,[],[f453,f586]) ).
fof(f1275,plain,
( ~ ssList(nil)
| nil = app(nil,sK5(nil,nil))
| spl51_7 ),
inference(duplicate_literal_removal,[],[f1272]) ).
fof(f1281,plain,
( nil = app(nil,sK5(nil,nil))
| ~ spl51_2
| spl51_7 ),
inference(forward_subsumption_resolution,[],[f1275,f560]) ).
fof(f1926,plain,
( ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| ~ ssList(tl(sK50))
| ~ ssList(X0)
| frontsegP(tl(sK50),X0)
| ~ ssItem(hd(sK50)) )
| spl51_13 ),
inference(superposition,[],[f549,f991]) ).
fof(f1931,definition,
( spl51_45
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_45])],[avatar_definition]) ).
fof(f1932,plain,
( ssList(tl(sK50))
| ~ spl51_45 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1933,plain,
( ~ ssList(tl(sK50))
| spl51_45 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1935,definition,
( spl51_46
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_46])],[avatar_definition]) ).
fof(f1936,plain,
( ssItem(hd(sK50))
| ~ spl51_46 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1937,plain,
( ~ ssItem(hd(sK50))
| spl51_46 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1952,definition,
( spl51_50
<=> ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| frontsegP(tl(sK50),X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_50])],[avatar_definition]) ).
fof(f1953,plain,
( ! [X0] :
( ~ frontsegP(sK50,cons(hd(sK50),X0))
| frontsegP(tl(sK50),X0)
| ~ ssList(X0) )
| ~ spl51_50 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f1954,plain,
( ~ spl51_46
| ~ spl51_45
| spl51_50
| spl51_13 ),
inference(avatar_split_clause,[],[f1926,f756,f1952,f1931,f1935]) ).
fof(f2140,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_45 ),
inference(resolution,[],[f1933,f316]) ).
fof(f2141,plain,
( ~ ssList(sK50)
| spl51_13
| spl51_45 ),
inference(forward_subsumption_resolution,[],[f2140,f757]) ).
fof(f2142,plain,
( $false
| spl51_13
| spl51_45 ),
inference(forward_subsumption_resolution,[],[f2141,f412]) ).
fof(f2143,plain,
( spl51_13
| spl51_45 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2487,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| segmentP(X0,sK49)
| frontsegP(sK50,X0)
| ~ strictorderedP(X0) )
| ~ spl51_10 ),
inference(forward_demodulation,[],[f678,f665]) ).
fof(f2488,plain,
( ! [X0] :
( segmentP(X0,nil)
| nil = X0
| ~ ssList(X0)
| frontsegP(sK50,X0)
| ~ strictorderedP(X0) )
| ~ spl51_10 ),
inference(forward_demodulation,[],[f2487,f665]) ).
fof(f2489,plain,
( ! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(X0)
| frontsegP(sK50,X0)
| nil = X0 )
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f2488,f519]) ).
fof(f2490,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_46 ),
inference(resolution,[],[f1937,f314]) ).
fof(f2491,plain,
( ~ ssList(sK50)
| spl51_13
| spl51_46 ),
inference(forward_subsumption_resolution,[],[f2490,f757]) ).
fof(f2492,plain,
( $false
| spl51_13
| spl51_46 ),
inference(forward_subsumption_resolution,[],[f2491,f412]) ).
fof(f2493,plain,
( spl51_13
| spl51_46 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
fof(f2495,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| frontsegP(sK50,cons(X0,nil))
| nil = cons(X0,nil)
| ~ ssItem(X0) )
| ~ spl51_3
| ~ spl51_10 ),
inference(resolution,[],[f2489,f565]) ).
fof(f2704,definition,
( spl51_128
<=> nil = sK5(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl51_128])],[avatar_definition]) ).
fof(f2706,plain,
( nil = sK5(nil,nil)
| ~ spl51_128 ),
inference(avatar_component_clause,[],[f2704]) ).
fof(f8319,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| sK5(nil,nil) = app(nil,sK5(nil,nil))
| spl51_7 ),
inference(resolution,[],[f923,f586]) ).
fof(f8322,plain,
( ~ ssList(nil)
| sK5(nil,nil) = app(nil,sK5(nil,nil))
| spl51_7 ),
inference(duplicate_literal_removal,[],[f8319]) ).
fof(f8331,plain,
( sK5(nil,nil) = app(nil,sK5(nil,nil))
| ~ spl51_2
| spl51_7 ),
inference(forward_subsumption_resolution,[],[f8322,f560]) ).
fof(f8338,plain,
( nil = sK5(nil,nil)
| ~ spl51_2
| spl51_7 ),
inference(forward_demodulation,[],[f8331,f1281]) ).
fof(f8342,plain,
( spl51_128
| ~ spl51_2
| spl51_7 ),
inference(avatar_split_clause,[],[f8338,f584,f559,f2704]) ).
fof(f53750,definition,
( spl51_3723
<=> frontsegP(tl(sK50),sK5(nil,nil)) ),
introduced(definition,[new_symbols(definition,[spl51_3723])],[avatar_definition]) ).
fof(f53751,plain,
( ~ frontsegP(tl(sK50),sK5(nil,nil))
| spl51_3723 ),
inference(avatar_component_clause,[],[f53750]) ).
fof(f53752,plain,
( frontsegP(tl(sK50),sK5(nil,nil))
| ~ spl51_3723 ),
inference(avatar_component_clause,[],[f53750]) ).
fof(f58766,plain,
( frontsegP(tl(sK50),nil)
| ~ spl51_128
| ~ spl51_3723 ),
inference(forward_demodulation,[],[f53752,f2706]) ).
fof(f58775,plain,
( ~ ssList(tl(sK50))
| ~ spl51_128
| ~ spl51_3723 ),
inference(resolution,[],[f58766,f505]) ).
fof(f58780,plain,
( $false
| ~ spl51_45
| ~ spl51_128
| ~ spl51_3723 ),
inference(forward_subsumption_resolution,[],[f58775,f1932]) ).
fof(f58781,plain,
( ~ spl51_45
| ~ spl51_128
| ~ spl51_3723 ),
inference(avatar_contradiction_clause,[],[f58780]) ).
fof(f58786,plain,
( ~ frontsegP(tl(sK50),nil)
| ~ spl51_128
| spl51_3723 ),
inference(forward_demodulation,[],[f53751,f2706]) ).
fof(f145901,definition,
( spl51_12438
<=> nil = cons(hd(sK50),nil) ),
introduced(definition,[new_symbols(definition,[spl51_12438])],[avatar_definition]) ).
fof(f145903,plain,
( nil = cons(hd(sK50),nil)
| ~ spl51_12438 ),
inference(avatar_component_clause,[],[f145901]) ).
fof(f145905,definition,
( spl51_12439
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_12439])],[avatar_definition]) ).
fof(f145906,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl51_12439 ),
inference(avatar_component_clause,[],[f145905]) ).
fof(f145907,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_12439 ),
inference(avatar_component_clause,[],[f145905]) ).
fof(f145913,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl51_12439 ),
inference(resolution,[],[f145907,f305]) ).
fof(f145914,plain,
( ~ ssList(nil)
| ~ spl51_46
| spl51_12439 ),
inference(forward_subsumption_resolution,[],[f145913,f1936]) ).
fof(f145915,plain,
( $false
| ~ spl51_2
| ~ spl51_46
| spl51_12439 ),
inference(forward_subsumption_resolution,[],[f145914,f560]) ).
fof(f145916,plain,
( ~ spl51_2
| ~ spl51_46
| spl51_12439 ),
inference(avatar_contradiction_clause,[],[f145915]) ).
fof(f146083,plain,
( frontsegP(sK50,cons(hd(sK50),nil))
| nil = cons(hd(sK50),nil)
| ~ ssItem(hd(sK50))
| ~ spl51_3
| ~ spl51_10
| ~ spl51_12439 ),
inference(resolution,[],[f145906,f2495]) ).
fof(f147047,definition,
( spl51_12502
<=> frontsegP(sK50,cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_12502])],[avatar_definition]) ).
fof(f147049,plain,
( frontsegP(sK50,cons(hd(sK50),nil))
| ~ spl51_12502 ),
inference(avatar_component_clause,[],[f147047]) ).
fof(f149069,plain,
( frontsegP(sK50,cons(hd(sK50),nil))
| nil = cons(hd(sK50),nil)
| ~ spl51_3
| ~ spl51_10
| ~ spl51_46
| ~ spl51_12439 ),
inference(forward_subsumption_resolution,[],[f146083,f1936]) ).
fof(f149122,plain,
( spl51_12438
| spl51_12502
| ~ spl51_3
| ~ spl51_10
| ~ spl51_46
| ~ spl51_12439 ),
inference(avatar_split_clause,[],[f149069,f145905,f1935,f663,f564,f147047,f145901]) ).
fof(f150834,plain,
( singletonP(nil)
| ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_12438 ),
inference(superposition,[],[f428,f145903]) ).
fof(f150958,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_12438 ),
inference(forward_subsumption_resolution,[],[f150834,f337]) ).
fof(f151009,plain,
( ~ ssList(nil)
| ~ spl51_46
| ~ spl51_12438 ),
inference(forward_subsumption_resolution,[],[f150958,f1936]) ).
fof(f151023,plain,
( $false
| ~ spl51_2
| ~ spl51_46
| ~ spl51_12438 ),
inference(forward_subsumption_resolution,[],[f151009,f560]) ).
fof(f151024,plain,
( ~ spl51_2
| ~ spl51_46
| ~ spl51_12438 ),
inference(avatar_contradiction_clause,[],[f151023]) ).
fof(f151466,plain,
( frontsegP(tl(sK50),nil)
| ~ ssList(nil)
| ~ spl51_50
| ~ spl51_12502 ),
inference(resolution,[],[f147049,f1953]) ).
fof(f151472,plain,
( ~ ssList(nil)
| ~ spl51_50
| ~ spl51_128
| spl51_3723
| ~ spl51_12502 ),
inference(forward_subsumption_resolution,[],[f151466,f58786]) ).
fof(f151475,plain,
( $false
| ~ spl51_2
| ~ spl51_50
| ~ spl51_128
| spl51_3723
| ~ spl51_12502 ),
inference(forward_subsumption_resolution,[],[f151472,f560]) ).
fof(f151476,plain,
( ~ spl51_2
| ~ spl51_50
| ~ spl51_128
| spl51_3723
| ~ spl51_12502 ),
inference(avatar_contradiction_clause,[],[f151475]) ).
cnf(s3,plain,
spl51_3,
inference(sat_conversion,[],[f567]) ).
cnf(s8,plain,
( ~ spl51_2
| ~ spl51_7 ),
inference(sat_conversion,[],[f587]) ).
cnf(s9,plain,
spl51_2,
inference(sat_conversion,[],[f588]) ).
cnf(s12,plain,
( ~ spl51_2
| spl51_10 ),
inference(sat_conversion,[],[f681]) ).
cnf(s16,plain,
( ~ spl51_10
| ~ spl51_13 ),
inference(sat_conversion,[],[f796]) ).
cnf(s48,plain,
( spl51_13
| ~ spl51_45
| ~ spl51_46
| spl51_50 ),
inference(sat_conversion,[],[f1954]) ).
cnf(s83,plain,
( spl51_13
| spl51_45 ),
inference(sat_conversion,[],[f2143]) ).
cnf(s109,plain,
( spl51_13
| spl51_46 ),
inference(sat_conversion,[],[f2493]) ).
cnf(s449,plain,
( ~ spl51_2
| spl51_7
| spl51_128 ),
inference(sat_conversion,[],[f8342]) ).
cnf(s5031,plain,
( ~ spl51_45
| ~ spl51_128
| ~ spl51_3723 ),
inference(sat_conversion,[],[f58781]) ).
cnf(s16869,plain,
( ~ spl51_2
| ~ spl51_46
| spl51_12439 ),
inference(sat_conversion,[],[f145916]) ).
cnf(s17400,plain,
( ~ spl51_3
| ~ spl51_10
| ~ spl51_46
| spl51_12438
| ~ spl51_12439
| spl51_12502 ),
inference(sat_conversion,[],[f149122]) ).
cnf(s17567,plain,
( ~ spl51_2
| ~ spl51_46
| ~ spl51_12438 ),
inference(sat_conversion,[],[f151024]) ).
cnf(s17612,plain,
( ~ spl51_2
| ~ spl51_50
| ~ spl51_128
| spl51_3723
| ~ spl51_12502 ),
inference(sat_conversion,[],[f151476]) ).
cnf(s17708,plain,
spl51_10,
inference(rat,[],[s12,s9]) ).
cnf(s17781,plain,
~ spl51_13,
inference(rat,[],[s16,s17708]) ).
cnf(s17818,plain,
spl51_46,
inference(rat,[],[s109,s17781]) ).
cnf(s17821,plain,
spl51_45,
inference(rat,[],[s83,s17781]) ).
cnf(s17962,plain,
~ spl51_12438,
inference(rat,[],[s17567,s9,s17818]) ).
cnf(s17963,plain,
spl51_12439,
inference(rat,[],[s16869,s9,s17818]) ).
cnf(s17990,plain,
spl51_50,
inference(rat,[],[s48,s17781,s17818,s17821]) ).
cnf(s18201,plain,
~ spl51_7,
inference(rat,[],[s8,s9]) ).
cnf(s18203,plain,
spl51_128,
inference(rat,[],[s449,s9,s18201]) ).
cnf(s18211,plain,
~ spl51_3723,
inference(rat,[],[s5031,s17821,s18203]) ).
cnf(s18221,plain,
~ spl51_12502,
inference(rat,[],[s17612,s18203,s17990,s9,s18211]) ).
cnf(s18231,plain,
~ spl51_3,
inference(rat,[],[s17400,s17818,s17963,s17962,s17708,s18221]) ).
cnf(s18356,plain,
$false,
inference(rat,[],[s3,s18231]) ).
fof(f151477,plain,
$false,
inference(avatar_sat_refutation,[],[s18356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC214+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 % Computer : n013.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 08:31:21 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24 Running first-order model finding
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.89/2.24 % (1023601)Will run a generic schedule for satisfiability detection.
% 13.89/2.24 % (1023612)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1433313064:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.89/2.24 % (1023607)% WARNING: option uhcvi not known.
% 13.89/2.24 % (1023606)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=529509317_2999 on theBenchmark for (2999ds/0Mi)
% 13.89/2.24 % (1023610)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1347372894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.89/2.24 % (1023609)dis+10_1_sil=32000:sp=arity:random_seed=2300311823:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.89/2.24 % (1023608)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1111807555:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.89/2.24 % (1023607)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=466002391:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.89/2.24 % (1023611)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4137145136:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.89/2.24 % TRYING [1]
% 13.89/2.24 % TRYING [2]
% 13.89/2.24 % TRYING [3]
% 13.89/2.24 % TRYING [4]
% 13.89/2.24 % (1023612)Instruction limit reached!
% 13.89/2.24 % (1023612)------------------------------
% 13.89/2.24 % (1023612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.24 % (1023612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.24 % (1023612)CaDiCaL version: 2.1.3
% 13.89/2.24 % (1023612)Termination reason: Instruction limit
% 13.89/2.24 % (1023612)Termination phase: Saturation
% 13.89/2.24 % (1023612)Time elapsed: 0.055 s
% 13.89/2.24 % (1023612)Peak memory usage: 15 MB
% 13.89/2.24 % (1023612)Instructions burned: 160 (million)
% 13.89/2.24 % (1023620)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1869709053:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.89/2.24 % (1023609)Instruction limit reached!
% 13.89/2.24 % (1023609)------------------------------
% 13.89/2.24 % (1023609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.24 % (1023609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.24 % (1023609)CaDiCaL version: 2.1.3
% 13.89/2.24 % (1023609)Termination reason: Instruction limit
% 13.89/2.24 % (1023609)Termination phase: Saturation
% 13.89/2.24 % (1023609)Time elapsed: 0.059 s
% 13.89/2.24 % (1023609)Peak memory usage: 13 MB
% 13.89/2.24 % (1023609)Instructions burned: 103 (million)
% 13.89/2.24 % TRYING [1]
% 13.89/2.24 % TRYING [2]
% 13.89/2.24 % TRYING [3]
% 13.89/2.24 % (1023610)Instruction limit reached!
% 13.89/2.24 % (1023610)------------------------------
% 13.89/2.24 % (1023610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.24 % (1023610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.24 % (1023610)CaDiCaL version: 2.1.3
% 13.89/2.24 % (1023610)Termination reason: Instruction limit
% 13.89/2.24 % (1023610)Termination phase: Saturation
% 13.89/2.24 % (1023610)Time elapsed: 0.070 s
% 13.89/2.24 % (1023610)Peak memory usage: 13 MB
% 13.89/2.24 % (1023610)Instructions burned: 116 (million)
% 13.89/2.24 % (1023611)Instruction limit reached!
% 13.89/2.24 % (1023611)------------------------------
% 13.89/2.24 % (1023611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.24 % (1023611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.24 % (1023611)CaDiCaL version: 2.1.3
% 13.89/2.24 % (1023611)Termination reason: Instruction limit
% 13.89/2.24 % (1023611)Termination phase: Saturation
% 13.89/2.24 % (1023611)Time elapsed: 0.074 s
% 13.89/2.24 % (1023611)Peak memory usage: 14 MB
% 13.89/2.24 % (1023611)Instructions burned: 131 (million)
% 13.89/2.24 % TRYING [4]
% 13.89/2.24 % (1023622)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=42648832:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.89/2.24 % TRYING [5]
% 13.89/2.24 % (1023623)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=3831184738:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.89/2.24 % (1023624)ott-21_1_sil=16000:fs=off:random_seed=2155773843:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.89/2.24 % TRYING [5]
% 13.89/2.24 % (1023622)Instruction limit reached!
% 13.89/2.24 % (1023622)------------------------------
% 13.89/2.24 % (1023622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023622)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023622)Termination reason: Instruction limit
% 18.01/4.72 % (1023622)Termination phase: Saturation
% 18.01/4.72 % (1023622)Time elapsed: 0.070 s
% 18.01/4.72 % (1023622)Peak memory usage: 13 MB
% 18.01/4.72 % (1023622)Instructions burned: 131 (million)
% 18.01/4.72 % (1023628)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=447428920:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.01/4.72 % (1023624)Instruction limit reached!
% 18.01/4.72 % (1023624)------------------------------
% 18.01/4.72 % (1023624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023624)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023624)Termination reason: Instruction limit
% 18.01/4.72 % (1023624)Termination phase: Saturation
% 18.01/4.72 % (1023624)Time elapsed: 0.084 s
% 18.01/4.72 % (1023624)Peak memory usage: 13 MB
% 18.01/4.72 % (1023624)Instructions burned: 181 (million)
% 18.01/4.72 % TRYING [6]
% 18.01/4.72 % (1023630)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3859084124:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.01/4.72 % TRYING [1]
% 18.01/4.72 % TRYING [2]
% 18.01/4.72 % (1023620)Instruction limit reached!
% 18.01/4.72 % (1023620)------------------------------
% 18.01/4.72 % (1023620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023620)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023620)Termination reason: Instruction limit
% 18.01/4.72 % (1023620)Termination phase: Finite model building constraint generation
% 18.01/4.72 % (1023620)Time elapsed: 0.158 s
% 18.01/4.72 % (1023620)Peak memory usage: 27 MB
% 18.01/4.72 % (1023620)Instructions burned: 715 (million)
% 18.01/4.72 % TRYING [6]
% 18.01/4.72 % TRYING [3]
% 18.01/4.72 % (1023632)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3071728174:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.01/4.72 % TRYING [4]
% 18.01/4.72 % TRYING [5]
% 18.01/4.72 % (1023623)Instruction limit reached!
% 18.01/4.72 % (1023623)------------------------------
% 18.01/4.72 % (1023623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023623)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023623)Termination reason: Instruction limit
% 18.01/4.72 % (1023623)Termination phase: Saturation
% 18.01/4.72 % (1023623)Time elapsed: 0.369 s
% 18.01/4.72 % (1023623)Peak memory usage: 22 MB
% 18.01/4.72 % (1023623)Instructions burned: 686 (million)
% 18.01/4.72 % (1023634)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1202259156:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.01/4.72 % (1023628)Instruction limit reached!
% 18.01/4.72 % (1023628)------------------------------
% 18.01/4.72 % (1023628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023628)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023628)Termination reason: Instruction limit
% 18.01/4.72 % (1023628)Termination phase: Saturation
% 18.01/4.72 % (1023628)Time elapsed: 0.328 s
% 18.01/4.72 % (1023628)Peak memory usage: 15 MB
% 18.01/4.72 % (1023628)Instructions burned: 478 (million)
% 18.01/4.72 % TRYING [7]
% 18.01/4.72 % (1023636)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=3076593830: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)
% 18.01/4.72 % (1023630)Instruction limit reached!
% 18.01/4.72 % (1023630)------------------------------
% 18.01/4.72 % (1023630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023630)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023630)Termination reason: Instruction limit
% 18.01/4.72 % (1023630)Termination phase: Finite model building SAT solving
% 18.01/4.72 % (1023630)Time elapsed: 0.350 s
% 18.01/4.72 % (1023630)Peak memory usage: 23 MB
% 18.01/4.72 % (1023630)Instructions burned: 866 (million)
% 18.01/4.72 % (1023638)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=611355082:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.01/4.72 % (1023632)Instruction limit reached!
% 18.01/4.72 % (1023632)------------------------------
% 18.01/4.72 % (1023632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023632)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023632)Termination reason: Instruction limit
% 18.01/4.72 % (1023632)Termination phase: Saturation
% 18.01/4.72 % (1023632)Time elapsed: 0.352 s
% 18.01/4.72 % (1023632)Peak memory usage: 30 MB
% 18.01/4.72 % (1023632)Instructions burned: 1182 (million)
% 18.01/4.72 % TRYING [14]
% 18.01/4.72 % (1023640)fmb+10_1_sil=64000:random_seed=1694317561:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 18.01/4.72 % TRYING [1]
% 18.01/4.72 % TRYING [2]
% 18.01/4.72 % TRYING [3]
% 18.01/4.72 % TRYING [4]
% 18.01/4.72 % TRYING [5]
% 18.01/4.72 % (1023634)Instruction limit reached!
% 18.01/4.72 % (1023634)------------------------------
% 18.01/4.72 % (1023634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023634)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023634)Termination reason: Instruction limit
% 18.01/4.72 % (1023634)Termination phase: Finite model building constraint generation
% 18.01/4.72 % (1023634)Time elapsed: 0.325 s
% 18.01/4.72 % (1023634)Peak memory usage: 70 MB
% 18.01/4.72 % (1023634)Instructions burned: 889 (million)
% 18.01/4.72 % (1023642)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3224816444:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 18.01/4.72 % TRYING [20]
% 18.01/4.72 % TRYING [6]
% 18.01/4.72 % (1023636)Instruction limit reached!
% 18.01/4.72 % (1023636)------------------------------
% 18.01/4.72 % (1023636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023636)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023636)Termination reason: Instruction limit
% 18.01/4.72 % (1023636)Termination phase: Saturation
% 18.01/4.72 % (1023636)Time elapsed: 0.359 s
% 18.01/4.72 % (1023636)Peak memory usage: 21 MB
% 18.01/4.72 % (1023636)Instructions burned: 692 (million)
% 18.01/4.72 % (1023644)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1163026189:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 18.01/4.72 % TRYING [8]
% 18.01/4.72 % (1023638)Instruction limit reached!
% 18.01/4.72 % (1023638)------------------------------
% 18.01/4.72 % (1023638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023638)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023638)Termination reason: Instruction limit
% 18.01/4.72 % (1023638)Termination phase: Saturation
% 18.01/4.72 % (1023638)Time elapsed: 0.468 s
% 18.01/4.72 % (1023638)Peak memory usage: 21 MB
% 18.01/4.72 % (1023638)Instructions burned: 881 (million)
% 18.01/4.72 % (1023646)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1533888629:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 18.01/4.72 % TRYING [8]
% 18.01/4.72 % TRYING [7]
% 18.01/4.72 % (1023644)Instruction limit reached!
% 18.01/4.72 % (1023644)------------------------------
% 18.01/4.72 % (1023644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023644)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023644)Termination reason: Instruction limit
% 18.01/4.72 % (1023644)Termination phase: Finite model building constraint generation
% 18.01/4.72 % (1023644)Time elapsed: 0.342 s
% 18.01/4.72 % (1023644)Peak memory usage: 70 MB
% 18.01/4.72 % (1023644)Instructions burned: 922 (million)
% 18.01/4.72 % (1023648)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=844928213:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 18.01/4.72 % (1023648)Instruction limit reached!
% 18.01/4.72 % (1023648)------------------------------
% 18.01/4.72 % (1023648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023648)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023648)Termination reason: Instruction limit
% 18.01/4.72 % (1023648)Termination phase: Saturation
% 18.01/4.72 % (1023648)Time elapsed: 0.665 s
% 18.01/4.72 % (1023648)Peak memory usage: 18 MB
% 18.01/4.72 % (1023648)Instructions burned: 1472 (million)
% 18.01/4.72 % (1023650)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3539244585:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 18.01/4.72 % TRYING [77]
% 18.01/4.72 % TRYING [8]
% 18.01/4.72 % TRYING [9]
% 18.01/4.72 % TRYING [9]
% 18.01/4.72 % (1023646)Instruction limit reached!
% 18.01/4.72 % (1023646)------------------------------
% 18.01/4.72 % (1023646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023646)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023646)Termination reason: Instruction limit
% 18.01/4.72 % (1023646)Termination phase: Saturation
% 18.01/4.72 % (1023646)Time elapsed: 2.805 s
% 18.01/4.72 % (1023646)Peak memory usage: 53 MB
% 18.01/4.72 % (1023646)Instructions burned: 5132 (million)
% 18.01/4.72 % (1023652)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3700130888:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 18.01/4.72 % TRYING [16]
% 18.01/4.72 % (1023642)Instruction limit reached!
% 18.01/4.72 % (1023642)------------------------------
% 18.01/4.72 % (1023642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023642)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023642)Termination reason: Instruction limit
% 18.01/4.72 % (1023642)Termination phase: Finite model building constraint generation
% 18.01/4.72 % (1023642)Time elapsed: 3.309 s
% 18.01/4.72 % (1023642)Peak memory usage: 557 MB
% 18.01/4.72 % (1023642)Instructions burned: 9516 (million)
% 18.01/4.72 % (1023654)ott-2_1_sil=16000:newcnf=on:random_seed=1187359137:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 18.01/4.72 % (1023650)Instruction limit reached!
% 18.01/4.72 % (1023650)------------------------------
% 18.01/4.72 % (1023650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023650)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023650)Termination reason: Instruction limit
% 18.01/4.72 % (1023650)Termination phase: Finite model building constraint generation
% 18.01/4.72 % (1023650)Time elapsed: 2.356 s
% 18.01/4.72 % (1023650)Peak memory usage: 517 MB
% 18.01/4.72 % (1023650)Instructions burned: 6326 (million)
% 18.01/4.72 % (1023607) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1023601-1023607"...
% 18.01/4.72 % (1023607)...printing done.
% 18.01/4.72 % (1023656)ott+10_1_sil=32000:tgt=ground:random_seed=2256140393:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 18.01/4.72 % (1023607)Refutation found. Thanks to Tanya!
% 18.01/4.72 % SZS status Theorem for theBenchmark
% 18.01/4.72 % SZS output start Proof for theBenchmark
% See solution above
% 18.01/4.72 % (1023607)------------------------------
% 18.01/4.72 % (1023607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.01/4.72 % (1023607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/4.72 % (1023607)CaDiCaL version: 2.1.3
% 18.01/4.72 % (1023607)Termination reason: Refutation
% 18.01/4.72 % (1023607)Time elapsed: 4.401 s
% 18.01/4.72 % (1023607)Peak memory usage: 89 MB
% 18.01/4.72 % (1023607)Instructions burned: 8390 (million)
% 18.01/4.72 % (1023601)Success in time 4.476 s
% 18.01/4.72 % Vampire exiting
%------------------------------------------------------------------------------