%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC193+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 : 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 01:05:03 PM UTC 2026
% Result : Theorem 8.98s 4.07s
% Output : Refutation 8.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 184 ( 27 unt; 8 def)
% Number of atoms : 646 ( 81 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 815 ( 353 ~; 359 |; 38 &)
% ( 22 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 125 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
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(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
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(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,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
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
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(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
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(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f232,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK4(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f233,plain,
! [X0] :
( ssItem(sK4(X0))
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f332,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f361,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f411,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
sK51 != sK52,
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
sK47 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssItem(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
( ~ neq(sK50,nil)
| singletonP(sK49) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
segmentP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
sK49 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(definition_unfolding,[],[f413,f420]) ).
fof(f429,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f228]) ).
fof(f433,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f461,definition,
( spl55_1
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f463,plain,
( singletonP(sK49)
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl55_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f467,plain,
( ~ neq(sK50,nil)
| spl55_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f417,f465,f461]) ).
fof(f598,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 ),
inference(resolution,[],[f307,f415]) ).
fof(f634,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(resolution,[],[f303,f467]) ).
fof(f639,plain,
( nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f634,f306]) ).
fof(f640,plain,
( nil = sK50
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f639,f418]) ).
fof(f642,plain,
( segmentP(nil,sK49)
| spl55_2 ),
inference(superposition,[],[f419,f640]) ).
fof(f649,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = X0
| hd(cons(X1,tl(X0))) = X1 ),
inference(resolution,[],[f315,f316]) ).
fof(f694,plain,
( nil = sK49
| ~ ssList(sK49)
| spl55_2 ),
inference(resolution,[],[f642,f361]) ).
fof(f695,plain,
( nil = sK49
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f694,f422]) ).
fof(f742,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK52,X0)) = X0 ),
inference(resolution,[],[f317,f415]) ).
fof(f765,plain,
nil != cons(sK52,nil),
inference(resolution,[],[f598,f306]) ).
fof(f1254,plain,
nil = tl(cons(sK52,nil)),
inference(resolution,[],[f742,f306]) ).
fof(f1373,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(sK54)
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f427]) ).
fof(f1384,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1373,f411]) ).
fof(f2297,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(sK54)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(superposition,[],[f433,f427]) ).
fof(f2302,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2297,f411]) ).
fof(f2308,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f2302,f422]) ).
fof(f2314,plain,
( segmentP(nil,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_2 ),
inference(forward_demodulation,[],[f2308,f695]) ).
fof(f2657,definition,
( spl55_12
<=> ssList(cons(sK52,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_12])],[avatar_definition]) ).
fof(f2658,plain,
( ssList(cons(sK52,nil))
| ~ spl55_12 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f2659,plain,
( ~ ssList(cons(sK52,nil))
| spl55_12 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f2667,plain,
( ~ ssItem(sK52)
| ~ ssList(nil)
| spl55_12 ),
inference(resolution,[],[f2659,f305]) ).
fof(f2668,plain,
( ~ ssList(nil)
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f2667,f415]) ).
fof(f2669,plain,
( $false
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f2668,f306]) ).
fof(f2670,plain,
spl55_12,
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f3040,definition,
( spl55_13
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f3041,plain,
( ssList(cons(sK51,nil))
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3042,plain,
( ~ ssList(cons(sK51,nil))
| spl55_13 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3049,definition,
( spl55_15
<=> ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_15])],[avatar_definition]) ).
fof(f3050,plain,
( ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f3051,plain,
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| spl55_15 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f3053,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_13 ),
inference(resolution,[],[f3042,f305]) ).
fof(f3054,plain,
( ~ ssList(nil)
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f3053,f416]) ).
fof(f3055,plain,
( $false
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f3054,f306]) ).
fof(f3056,plain,
spl55_13,
inference(avatar_contradiction_clause,[],[f3055]) ).
fof(f3057,plain,
( ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_15 ),
inference(resolution,[],[f3051,f318]) ).
fof(f3058,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| spl55_15 ),
inference(forward_subsumption_resolution,[],[f3057,f2658]) ).
fof(f3200,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ spl55_12
| spl55_15 ),
inference(resolution,[],[f3058,f318]) ).
fof(f3201,plain,
( ~ ssList(sK53)
| ~ spl55_12
| ~ spl55_13
| spl55_15 ),
inference(forward_subsumption_resolution,[],[f3200,f3041]) ).
fof(f3202,plain,
( $false
| ~ spl55_12
| ~ spl55_13
| spl55_15 ),
inference(forward_subsumption_resolution,[],[f3201,f414]) ).
fof(f3203,plain,
( ~ spl55_12
| ~ spl55_13
| spl55_15 ),
inference(avatar_contradiction_clause,[],[f3202]) ).
fof(f4524,plain,
( segmentP(nil,cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_2
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f2314,f2658]) ).
fof(f4527,definition,
( spl55_16
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_16])],[avatar_definition]) ).
fof(f4528,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f4527]) ).
fof(f4529,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_16 ),
inference(avatar_component_clause,[],[f4527]) ).
fof(f4531,definition,
( spl55_17
<=> segmentP(nil,cons(sK52,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_17])],[avatar_definition]) ).
fof(f4533,plain,
( segmentP(nil,cons(sK52,nil))
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f4531]) ).
fof(f4534,plain,
( ~ spl55_16
| spl55_17
| spl55_2
| ~ spl55_12 ),
inference(avatar_split_clause,[],[f4524,f2657,f465,f4531,f4527]) ).
fof(f4535,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl55_16 ),
inference(resolution,[],[f4529,f318]) ).
fof(f4536,plain,
( ~ ssList(sK53)
| ~ spl55_13
| spl55_16 ),
inference(forward_subsumption_resolution,[],[f4535,f3041]) ).
fof(f4537,plain,
( $false
| ~ spl55_13
| spl55_16 ),
inference(forward_subsumption_resolution,[],[f4536,f414]) ).
fof(f4538,plain,
( ~ spl55_13
| spl55_16 ),
inference(avatar_contradiction_clause,[],[f4537]) ).
fof(f4543,plain,
( ! [X0] :
( ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl55_15 ),
inference(forward_subsumption_resolution,[],[f1384,f3050]) ).
fof(f4754,plain,
( nil = cons(sK52,nil)
| ~ ssList(cons(sK52,nil))
| ~ spl55_17 ),
inference(resolution,[],[f4533,f361]) ).
fof(f4757,plain,
( ~ ssList(cons(sK52,nil))
| ~ spl55_17 ),
inference(forward_subsumption_resolution,[],[f4754,f765]) ).
fof(f4759,plain,
( $false
| ~ spl55_12
| ~ spl55_17 ),
inference(forward_subsumption_resolution,[],[f4757,f2658]) ).
fof(f4760,plain,
( ~ spl55_12
| ~ spl55_17 ),
inference(avatar_contradiction_clause,[],[f4759]) ).
fof(f4762,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ ssList(sK49)
| ~ spl55_1 ),
inference(resolution,[],[f463,f232]) ).
fof(f4763,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4762,f422]) ).
fof(f4786,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| ~ ssList(nil)
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(superposition,[],[f333,f4763]) ).
fof(f4829,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4786,f306]) ).
fof(f4835,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4829,f336]) ).
fof(f4837,definition,
( spl55_25
<=> ssItem(sK4(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_25])],[avatar_definition]) ).
fof(f4838,plain,
( ssItem(sK4(sK49))
| ~ spl55_25 ),
inference(avatar_component_clause,[],[f4837]) ).
fof(f4839,plain,
( ~ ssItem(sK4(sK49))
| spl55_25 ),
inference(avatar_component_clause,[],[f4837]) ).
fof(f4846,plain,
( ~ ssList(sK49)
| ~ singletonP(sK49)
| spl55_25 ),
inference(resolution,[],[f4839,f233]) ).
fof(f4847,plain,
( ~ singletonP(sK49)
| spl55_25 ),
inference(forward_subsumption_resolution,[],[f4846,f422]) ).
fof(f4848,plain,
( $false
| ~ spl55_1
| spl55_25 ),
inference(forward_subsumption_resolution,[],[f4847,f463]) ).
fof(f4849,plain,
( ~ spl55_1
| spl55_25 ),
inference(avatar_contradiction_clause,[],[f4848]) ).
fof(f6442,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(cons(sK52,nil))
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) )
| ~ spl55_15 ),
inference(resolution,[],[f4543,f332]) ).
fof(f6444,plain,
( memberP(sK49,sK52)
| ~ ssItem(sK52)
| ~ ssItem(sK52)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15 ),
inference(resolution,[],[f4543,f429]) ).
fof(f6445,plain,
( memberP(sK49,sK52)
| ~ ssItem(sK52)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15 ),
inference(duplicate_literal_removal,[],[f6444]) ).
fof(f6447,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(cons(sK52,nil))
| ~ memberP(app(sK53,cons(sK51,nil)),X0) )
| ~ spl55_15 ),
inference(duplicate_literal_removal,[],[f6442]) ).
fof(f6448,plain,
( memberP(sK49,sK52)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15 ),
inference(forward_subsumption_resolution,[],[f6445,f415]) ).
fof(f6450,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK52,nil))
| ~ memberP(app(sK53,cons(sK51,nil)),X0) )
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f6447,f4528]) ).
fof(f6451,plain,
( memberP(sK49,sK52)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15 ),
inference(forward_subsumption_resolution,[],[f6448,f306]) ).
fof(f6453,plain,
( ! [X0] :
( ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0)
| memberP(sK49,X0) )
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f6450,f2658]) ).
fof(f6454,plain,
( memberP(sK49,sK52)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f6451,f4528]) ).
fof(f6455,plain,
( memberP(sK49,sK52)
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f6454,f3050]) ).
fof(f10820,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = cons(sK52,nil)
| hd(cons(X0,tl(cons(sK52,nil)))) = X0 )
| ~ spl55_12 ),
inference(resolution,[],[f649,f2658]) ).
fof(f10892,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,tl(cons(sK52,nil)))) = X0 )
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f10820,f765]) ).
fof(f10900,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl55_12 ),
inference(forward_demodulation,[],[f10892,f1254]) ).
fof(f11465,plain,
( sK4(sK49) = hd(cons(sK4(sK49),nil))
| ~ spl55_12
| ~ spl55_25 ),
inference(resolution,[],[f10900,f4838]) ).
fof(f11484,plain,
( hd(sK49) = sK4(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_25 ),
inference(forward_demodulation,[],[f11465,f4763]) ).
fof(f77205,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f4835,f4838]) ).
fof(f77206,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| hd(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_12
| ~ spl55_25 ),
inference(forward_demodulation,[],[f77205,f11484]) ).
fof(f77212,plain,
( sK52 = hd(sK49)
| ~ ssItem(sK52)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(resolution,[],[f77206,f6455]) ).
fof(f77214,plain,
( sK52 = hd(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f77212,f415]) ).
fof(f90915,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(resolution,[],[f6453,f429]) ).
fof(f90920,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(duplicate_literal_removal,[],[f90915]) ).
fof(f90923,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f90920,f416]) ).
fof(f90926,plain,
( memberP(sK49,sK51)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f90923,f306]) ).
fof(f90927,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f90926,f414]) ).
fof(f90928,plain,
( memberP(sK49,sK51)
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f90927,f4528]) ).
fof(f90929,plain,
( sK51 = hd(sK49)
| ~ ssItem(sK51)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(resolution,[],[f90928,f77206]) ).
fof(f91010,plain,
( sK51 = hd(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f90929,f416]) ).
fof(f91288,plain,
( sK51 = sK52
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(superposition,[],[f91010,f77214]) ).
fof(f91320,plain,
( $false
| ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f91288,f412]) ).
fof(f91321,plain,
( ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(avatar_contradiction_clause,[],[f91320]) ).
cnf(s1,plain,
( spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f468]) ).
cnf(s9,plain,
spl55_12,
inference(sat_conversion,[],[f2670]) ).
cnf(s12,plain,
spl55_13,
inference(sat_conversion,[],[f3056]) ).
cnf(s13,plain,
( ~ spl55_12
| ~ spl55_13
| spl55_15 ),
inference(sat_conversion,[],[f3203]) ).
cnf(s15,plain,
( spl55_2
| ~ spl55_12
| ~ spl55_16
| spl55_17 ),
inference(sat_conversion,[],[f4534]) ).
cnf(s16,plain,
( ~ spl55_13
| spl55_16 ),
inference(sat_conversion,[],[f4538]) ).
cnf(s23,plain,
( ~ spl55_12
| ~ spl55_17 ),
inference(sat_conversion,[],[f4760]) ).
cnf(s26,plain,
( ~ spl55_1
| spl55_25 ),
inference(sat_conversion,[],[f4849]) ).
cnf(s124,plain,
( ~ spl55_1
| ~ spl55_12
| ~ spl55_15
| ~ spl55_16
| ~ spl55_25 ),
inference(sat_conversion,[],[f91321]) ).
cnf(s140,plain,
spl55_16,
inference(rat,[],[s16,s12]) ).
cnf(s142,plain,
~ spl55_17,
inference(rat,[],[s23,s9]) ).
cnf(s143,plain,
spl55_2,
inference(rat,[],[s15,s142,s140,s9]) ).
cnf(s144,plain,
spl55_15,
inference(rat,[],[s13,s12,s9]) ).
cnf(s157,plain,
spl55_1,
inference(rat,[],[s1,s143]) ).
cnf(s158,plain,
~ spl55_25,
inference(rat,[],[s124,s144,s140,s9,s157]) ).
cnf(s160,plain,
$false,
inference(rat,[],[s26,s158,s157]) ).
fof(f91324,plain,
$false,
inference(avatar_sat_refutation,[],[s160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC193+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 08:21:52 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 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
% 20.44/3.32 % (206298)Will run a generic schedule for satisfiability detection.
% 20.44/3.32 % (206309)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2126180214:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.44/3.32 % (206305)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=305145340:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.44/3.32 % (206304)% WARNING: option uhcvi not known.
% 20.44/3.32 % (206303)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=900919805_2999 on theBenchmark for (2999ds/0Mi)
% 20.44/3.32 % (206306)dis+10_1_sil=32000:sp=arity:random_seed=3992689678:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.44/3.32 % (206307)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1651155683:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.44/3.32 % (206304)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1412843143:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.44/3.32 % (206308)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=717081206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.44/3.32 % TRYING [1]
% 20.44/3.32 % TRYING [2]
% 20.44/3.32 % TRYING [3]
% 20.44/3.32 % (206309)Instruction limit reached!
% 20.44/3.32 % (206309)------------------------------
% 20.44/3.32 % (206309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.32 % (206309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.32 % (206309)CaDiCaL version: 2.1.3
% 20.44/3.32 % (206309)Termination reason: Instruction limit
% 20.44/3.32 % (206309)Termination phase: Saturation
% 20.44/3.32 % (206309)Time elapsed: 0.073 s
% 20.44/3.32 % (206309)Peak memory usage: 14 MB
% 20.44/3.32 % (206309)Instructions burned: 160 (million)
% 20.44/3.32 % TRYING [4]
% 20.44/3.32 % (206319)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1005308685:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.44/3.32 % TRYING [1]
% 20.44/3.32 % TRYING [2]
% 20.44/3.32 % TRYING [3]
% 20.44/3.32 % (206306)Instruction limit reached!
% 20.44/3.32 % (206306)------------------------------
% 20.44/3.32 % (206306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.32 % (206306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.32 % (206306)CaDiCaL version: 2.1.3
% 20.44/3.32 % (206306)Termination reason: Instruction limit
% 20.44/3.32 % (206306)Termination phase: Saturation
% 20.44/3.32 % (206306)Time elapsed: 0.102 s
% 20.44/3.32 % (206306)Peak memory usage: 13 MB
% 20.44/3.32 % (206306)Instructions burned: 103 (million)
% 20.44/3.32 % TRYING [4]
% 20.44/3.32 % (206307)Instruction limit reached!
% 20.44/3.32 % (206307)------------------------------
% 20.44/3.32 % (206307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.32 % (206307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.32 % (206307)CaDiCaL version: 2.1.3
% 20.44/3.32 % (206307)Termination reason: Instruction limit
% 20.44/3.32 % (206307)Termination phase: Saturation
% 20.44/3.32 % (206307)Time elapsed: 0.115 s
% 20.44/3.32 % (206307)Peak memory usage: 13 MB
% 20.44/3.32 % (206307)Instructions burned: 116 (million)
% 20.44/3.32 % (206308)Instruction limit reached!
% 20.44/3.32 % (206308)------------------------------
% 20.44/3.32 % (206308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.32 % (206308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.32 % (206308)CaDiCaL version: 2.1.3
% 20.44/3.32 % (206308)Termination reason: Instruction limit
% 20.44/3.32 % (206308)Termination phase: Saturation
% 20.44/3.32 % (206308)Time elapsed: 0.126 s
% 20.44/3.32 % (206308)Peak memory usage: 13 MB
% 20.44/3.32 % (206308)Instructions burned: 131 (million)
% 20.44/3.32 % (206321)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1913101327:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.44/3.32 % TRYING [5]
% 20.44/3.32 % (206322)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=4105256823:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.44/3.32 % TRYING [5]
% 20.44/3.32 % (206324)ott-21_1_sil=16000:fs=off:random_seed=1078883967:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.44/3.32 % (206321)Instruction limit reached!
% 20.44/3.32 % (206321)------------------------------
% 20.44/3.32 % (206321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.32 % (206321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206321)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206321)Termination reason: Instruction limit
% 8.98/4.07 % (206321)Termination phase: Saturation
% 8.98/4.07 % (206321)Time elapsed: 0.127 s
% 8.98/4.07 % (206321)Peak memory usage: 13 MB
% 8.98/4.07 % (206321)Instructions burned: 131 (million)
% 8.98/4.07 % (206329)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1701201776:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 8.98/4.07 % TRYING [6]
% 8.98/4.07 % (206324)Instruction limit reached!
% 8.98/4.07 % (206324)------------------------------
% 8.98/4.07 % (206324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206324)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206324)Termination reason: Instruction limit
% 8.98/4.07 % (206324)Termination phase: Saturation
% 8.98/4.07 % (206324)Time elapsed: 0.158 s
% 8.98/4.07 % (206324)Peak memory usage: 13 MB
% 8.98/4.07 % (206324)Instructions burned: 180 (million)
% 8.98/4.07 % (206332)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3386382314:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 8.98/4.07 % (206319)Instruction limit reached!
% 8.98/4.07 % (206319)------------------------------
% 8.98/4.07 % (206319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206319)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206319)Termination reason: Instruction limit
% 8.98/4.07 % (206319)Termination phase: Finite model building constraint generation
% 8.98/4.07 % (206319)Time elapsed: 0.282 s
% 8.98/4.07 % (206319)Peak memory usage: 27 MB
% 8.98/4.07 % (206319)Instructions burned: 719 (million)
% 8.98/4.07 % TRYING [6]
% 8.98/4.07 % TRYING [1]
% 8.98/4.07 % TRYING [2]
% 8.98/4.07 % (206334)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3975458196:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.98/4.07 % TRYING [3]
% 8.98/4.07 % TRYING [4]
% 8.98/4.07 % TRYING [5]
% 8.98/4.07 % (206322)Instruction limit reached!
% 8.98/4.07 % (206322)------------------------------
% 8.98/4.07 % (206322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206322)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206322)Termination reason: Instruction limit
% 8.98/4.07 % (206322)Termination phase: Saturation
% 8.98/4.07 % (206322)Time elapsed: 0.450 s
% 8.98/4.07 % (206322)Peak memory usage: 23 MB
% 8.98/4.07 % (206322)Instructions burned: 684 (million)
% 8.98/4.07 % (206336)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2290528450:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 8.98/4.07 % TRYING [7]
% 8.98/4.07 % (206332)Instruction limit reached!
% 8.98/4.07 % (206332)------------------------------
% 8.98/4.07 % (206332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206332)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206332)Termination reason: Instruction limit
% 8.98/4.07 % (206332)Termination phase: Finite model building SAT solving
% 8.98/4.07 % (206332)Time elapsed: 0.343 s
% 8.98/4.07 % (206332)Peak memory usage: 22 MB
% 8.98/4.07 % (206332)Instructions burned: 865 (million)
% 8.98/4.07 % (206334)Instruction limit reached!
% 8.98/4.07 % (206334)------------------------------
% 8.98/4.07 % (206334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206334)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206334)Termination reason: Instruction limit
% 8.98/4.07 % (206334)Termination phase: Saturation
% 8.98/4.07 % (206334)Time elapsed: 0.350 s
% 8.98/4.07 % (206334)Peak memory usage: 27 MB
% 8.98/4.07 % (206334)Instructions burned: 1179 (million)
% 8.98/4.07 % (206339)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=3917484708:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 8.98/4.07 % TRYING [14]
% 8.98/4.07 % (206341)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3237593489:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 8.98/4.07 % (206329)Instruction limit reached!
% 8.98/4.07 % (206329)------------------------------
% 8.98/4.07 % (206329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206329)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206329)Termination reason: Instruction limit
% 8.98/4.07 % (206329)Termination phase: Saturation
% 8.98/4.07 % (206329)Time elapsed: 0.446 s
% 8.98/4.07 % (206329)Peak memory usage: 15 MB
% 8.98/4.07 % (206329)Instructions burned: 477 (million)
% 8.98/4.07 % (206343)fmb+10_1_sil=64000:random_seed=1481883683:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.98/4.07 % TRYING [1]
% 8.98/4.07 % TRYING [2]
% 8.98/4.07 % TRYING [3]
% 8.98/4.07 % TRYING [4]
% 8.98/4.07 % (206336)Instruction limit reached!
% 8.98/4.07 % (206336)------------------------------
% 8.98/4.07 % (206336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206336)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206336)Termination reason: Instruction limit
% 8.98/4.07 % (206336)Termination phase: Finite model building constraint generation
% 8.98/4.07 % (206336)Time elapsed: 0.322 s
% 8.98/4.07 % (206336)Peak memory usage: 70 MB
% 8.98/4.07 % (206336)Instructions burned: 891 (million)
% 8.98/4.07 % TRYING [5]
% 8.98/4.07 % (206384)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=620675587:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.98/4.07 % (206341)Instruction limit reached!
% 8.98/4.07 % (206341)------------------------------
% 8.98/4.07 % (206341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206341)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206341)Termination reason: Instruction limit
% 8.98/4.07 % (206341)Termination phase: Saturation
% 8.98/4.07 % (206341)Time elapsed: 0.252 s
% 8.98/4.07 % (206341)Peak memory usage: 20 MB
% 8.98/4.07 % (206341)Instructions burned: 879 (million)
% 8.98/4.07 % TRYING [20]
% 8.98/4.07 % (206399)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=780971167:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.98/4.07 % TRYING [8]
% 8.98/4.07 % (206339)Instruction limit reached!
% 8.98/4.07 % (206339)------------------------------
% 8.98/4.07 % (206339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206339)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206339)Termination reason: Instruction limit
% 8.98/4.07 % (206339)Termination phase: Saturation
% 8.98/4.07 % (206339)Time elapsed: 0.364 s
% 8.98/4.07 % (206339)Peak memory usage: 20 MB
% 8.98/4.07 % (206339)Instructions burned: 693 (million)
% 8.98/4.07 % (206440)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3649875448:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.98/4.07 % (206399)Instruction limit reached!
% 8.98/4.07 % (206399)------------------------------
% 8.98/4.07 % (206399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206399)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206399)Termination reason: Instruction limit
% 8.98/4.07 % (206399)Termination phase: Finite model building constraint generation
% 8.98/4.07 % (206399)Time elapsed: 0.187 s
% 8.98/4.07 % (206399)Peak memory usage: 69 MB
% 8.98/4.07 % (206399)Instructions burned: 920 (million)
% 8.98/4.07 % (206456)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3838440369:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.98/4.07 % TRYING [6]
% 8.98/4.07 % TRYING [8]
% 8.98/4.07 % (206456)Instruction limit reached!
% 8.98/4.07 % (206456)------------------------------
% 8.98/4.07 % (206456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206456)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206456)Termination reason: Instruction limit
% 8.98/4.07 % (206456)Termination phase: Saturation
% 8.98/4.07 % (206456)Time elapsed: 0.360 s
% 8.98/4.07 % (206456)Peak memory usage: 23 MB
% 8.98/4.07 % (206456)Instructions burned: 1473 (million)
% 8.98/4.07 % (206505)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2868337644:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 8.98/4.07 % TRYING [77]
% 8.98/4.07 % TRYING [7]
% 8.98/4.07 % TRYING [9]
% 8.98/4.07 % (206505)Instruction limit reached!
% 8.98/4.07 % (206505)------------------------------
% 8.98/4.07 % (206505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206505)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206505)Termination reason: Instruction limit
% 8.98/4.07 % (206505)Termination phase: Finite model building constraint generation
% 8.98/4.07 % (206505)Time elapsed: 1.292 s
% 8.98/4.07 % (206505)Peak memory usage: 517 MB
% 8.98/4.07 % (206505)Instructions burned: 6325 (million)
% 8.98/4.07 % (206507)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3723161873:fmbsr=2.30978:i=2174_2970 on theBenchmark for (2970ds/2174Mi)
% 8.98/4.07 % TRYING [16]
% 8.98/4.07 % (206507)Instruction limit reached!
% 8.98/4.07 % (206507)------------------------------
% 8.98/4.07 % (206507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.07 % (206507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.07 % (206507)CaDiCaL version: 2.1.3
% 8.98/4.07 % (206507)Termination reason: Instruction limit
% 8.98/4.07 % (206507)Termination phase: Finite model building constraint generation
% 8.98/4.07 % (206507)Time elapsed: 0.409 s
% 8.98/4.07 % (206507)Peak memory usage: 138 MB
% 8.98/4.07 % (206507)Instructions burned: 2175 (million)
% 8.98/4.07 % (206509)ott-2_1_sil=16000:newcnf=on:random_seed=3357758084:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 8.98/4.07 % TRYING [8]
% 8.98/4.07 % (206440) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-206298-206440"...
% 8.98/4.07 % (206440)...printing done.
% 8.98/4.07 % (206440)Refutation found. Thanks to Tanya!
% 8.98/4.07 % SZS status Theorem for theBenchmark
% 8.98/4.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.98/4.08 % (206440)------------------------------
% 8.98/4.08 % (206440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/4.08 % (206440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/4.08 % (206440)CaDiCaL version: 2.1.3
% 8.98/4.08 % (206440)Termination reason: Refutation
% 8.98/4.08 % (206440)Time elapsed: 2.432 s
% 8.98/4.08 % (206440)Peak memory usage: 48 MB
% 8.98/4.08 % (206440)Instructions burned: 4531 (million)
% 8.98/4.08 % (206298)Success in time 3.647 s
% 8.98/4.08 % Vampire exiting
%------------------------------------------------------------------------------