%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC383+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:03:44 PM UTC 2026
% Result : Theorem 2.30s 1.20s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 170 ( 21 unt; 10 def)
% Number of atoms : 678 ( 86 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 888 ( 380 ~; 379 |; 82 &)
% ( 18 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn 144 !; 32 ?)
% 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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X2) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( singletonP(X0)
& segmentP(X1,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/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)
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( singletonP(X0)
& segmentP(X1,X0) ) ) ) ) ) ),
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(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ singletonP(X0)
| ~ segmentP(X1,X0) )
& 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)
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ singletonP(X0)
| ~ segmentP(X1,X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f237,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK10(X0))
& cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ! [X5] :
( ~ ssItem(X5)
| sK57 = X5
| ~ memberP(sK56,X5)
| ~ leq(sK57,X5) )
& ssItem(sK57) )
| ( nil = sK56
& nil = sK55 ) )
& ( ~ singletonP(sK53)
| ~ segmentP(sK54,sK53) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f222]) ).
fof(f302,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f308,plain,
! [X0,X1] :
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f386,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f438,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f477,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f482,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f498,plain,
ssList(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ singletonP(sK53)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ssItem(sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( memberP(sK56,sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
neq(sK54,nil),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f514,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f517,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f318]) ).
fof(f526,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f386]) ).
fof(f543,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f547,definition,
( spl58_1
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f549,plain,
( ~ segmentP(sK54,sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl58_2
<=> singletonP(sK53) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f553,plain,
( ~ singletonP(sK53)
| spl58_2 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f551,f547]) ).
fof(f560,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f562,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f565,definition,
( spl58_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f567,plain,
( nil = sK56
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( spl58_5
| spl58_4 ),
inference(avatar_split_clause,[],[f502,f560,f565]) ).
fof(f575,definition,
( spl58_7
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f577,plain,
( memberP(sK56,sK57)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,plain,
( spl58_5
| spl58_7 ),
inference(avatar_split_clause,[],[f506,f575,f565]) ).
fof(f581,definition,
( spl58_8
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f583,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f585,plain,
( spl58_5
| spl58_8 ),
inference(avatar_split_clause,[],[f508,f581,f565]) ).
fof(f587,definition,
( spl58_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f588,plain,
( ssList(nil)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f620,plain,
spl58_9,
inference(avatar_split_clause,[],[f389,f587]) ).
fof(f621,plain,
( ~ singletonP(sK55)
| spl58_2 ),
inference(superposition,[],[f553,f510]) ).
fof(f623,plain,
neq(sK56,nil),
inference(superposition,[],[f509,f511]) ).
fof(f630,plain,
( neq(nil,nil)
| ~ spl58_5 ),
inference(forward_demodulation,[],[f623,f567]) ).
fof(f631,plain,
( ~ ssList(nil)
| ~ spl58_5 ),
inference(resolution,[],[f543,f630]) ).
fof(f632,plain,
( $false
| ~ spl58_5
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f631,f588]) ).
fof(f633,plain,
( ~ spl58_5
| ~ spl58_9 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f722,plain,
( singletonP(sK55)
| ~ ssItem(sK57)
| ~ ssList(sK55)
| ~ spl58_8 ),
inference(superposition,[],[f514,f583]) ).
fof(f724,plain,
( ~ ssItem(sK57)
| ~ ssList(sK55)
| spl58_2
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f722,f621]) ).
fof(f725,plain,
( ~ ssList(sK55)
| spl58_2
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f724,f562]) ).
fof(f726,plain,
( $false
| spl58_2
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f725,f498]) ).
fof(f727,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_8 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f728,plain,
( ~ segmentP(sK54,sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f549,f510]) ).
fof(f731,plain,
( ~ segmentP(sK56,sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f728,f511]) ).
fof(f908,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_8 ),
inference(superposition,[],[f477,f583]) ).
fof(f917,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f908,f562]) ).
fof(f1065,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(superposition,[],[f401,f917]) ).
fof(f1066,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl58_4
| ~ spl58_8 ),
inference(duplicate_literal_removal,[],[f1065]) ).
fof(f1071,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f1066,f498]) ).
fof(f1263,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(resolution,[],[f438,f731]) ).
fof(f1267,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1263,f498]) ).
fof(f1269,plain,
( ! [X0] :
( ~ segmentP(X0,sK55)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1267,f499]) ).
fof(f1761,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7 ),
inference(resolution,[],[f302,f577]) ).
fof(f1770,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1761,f562]) ).
fof(f1780,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1770,f499]) ).
fof(f2075,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f517,f403]) ).
fof(f2081,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f517,f482]) ).
fof(f2082,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2081]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2075]) ).
fof(f2091,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2082,f401]) ).
fof(f2094,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2085,f401]) ).
fof(f2097,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2091,f588]) ).
fof(f2099,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2094,f588]) ).
fof(f2414,definition,
( spl58_43
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_43])],[avatar_definition]) ).
fof(f2415,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_43 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f2416,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_43 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f2418,definition,
( spl58_44
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_44])],[avatar_definition]) ).
fof(f2419,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2420,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_44 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2473,definition,
( spl58_56
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_56])],[avatar_definition]) ).
fof(f2474,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_56 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f2475,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_56 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f2480,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_44 ),
inference(resolution,[],[f2420,f304]) ).
fof(f2481,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2480,f577]) ).
fof(f2482,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2481,f562]) ).
fof(f2483,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2482,f499]) ).
fof(f2484,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_44 ),
inference(avatar_contradiction_clause,[],[f2483]) ).
fof(f2511,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_56 ),
inference(resolution,[],[f2475,f303]) ).
fof(f2512,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2511,f577]) ).
fof(f2513,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2512,f562]) ).
fof(f2514,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2513,f499]) ).
fof(f2515,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_56 ),
inference(avatar_contradiction_clause,[],[f2514]) ).
fof(f2530,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_43 ),
inference(resolution,[],[f2416,f388]) ).
fof(f2531,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_43 ),
inference(forward_subsumption_resolution,[],[f2530,f562]) ).
fof(f2534,plain,
( $false
| ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(forward_subsumption_resolution,[],[f2531,f2474]) ).
fof(f2535,plain,
( ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f3391,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9 ),
inference(superposition,[],[f2097,f1780]) ).
fof(f3413,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9
| ~ spl58_43 ),
inference(forward_subsumption_resolution,[],[f3391,f2415]) ).
fof(f3423,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9
| ~ spl58_43
| ~ spl58_44 ),
inference(forward_subsumption_resolution,[],[f3413,f2419]) ).
fof(f3454,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(superposition,[],[f2099,f917]) ).
fof(f3457,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(duplicate_literal_removal,[],[f3454]) ).
fof(f3469,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3457,f498]) ).
fof(f3935,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(resolution,[],[f3469,f1269]) ).
fof(f3945,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3935,f1071]) ).
fof(f4071,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_43
| ~ spl58_44 ),
inference(resolution,[],[f3945,f3423]) ).
fof(f4077,plain,
( $false
| spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(forward_subsumption_resolution,[],[f4071,f2474]) ).
fof(f4078,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(avatar_contradiction_clause,[],[f4077]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f554]) ).
cnf(s3,plain,
( spl58_4
| spl58_5 ),
inference(sat_conversion,[],[f568]) ).
cnf(s7,plain,
( spl58_5
| spl58_7 ),
inference(sat_conversion,[],[f579]) ).
cnf(s9,plain,
( spl58_5
| spl58_8 ),
inference(sat_conversion,[],[f585]) ).
cnf(s18,plain,
spl58_9,
inference(sat_conversion,[],[f620]) ).
cnf(s21,plain,
( ~ spl58_5
| ~ spl58_9 ),
inference(sat_conversion,[],[f633]) ).
cnf(s23,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_8 ),
inference(sat_conversion,[],[f727]) ).
cnf(s76,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_44 ),
inference(sat_conversion,[],[f2484]) ).
cnf(s77,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_56 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s79,plain,
( ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(sat_conversion,[],[f2535]) ).
cnf(s168,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(sat_conversion,[],[f4078]) ).
cnf(s178,plain,
~ spl58_5,
inference(rat,[],[s21,s18]) ).
cnf(s184,plain,
spl58_8,
inference(rat,[],[s9,s178]) ).
cnf(s185,plain,
spl58_7,
inference(rat,[],[s7,s178]) ).
cnf(s187,plain,
spl58_4,
inference(rat,[],[s3,s178]) ).
cnf(s189,plain,
spl58_56,
inference(rat,[],[s77,s185,s187]) ).
cnf(s190,plain,
spl58_44,
inference(rat,[],[s76,s185,s187]) ).
cnf(s199,plain,
spl58_2,
inference(rat,[],[s23,s184,s187]) ).
cnf(s201,plain,
spl58_43,
inference(rat,[],[s79,s187,s189]) ).
cnf(s220,plain,
spl58_1,
inference(rat,[],[s168,s189,s190,s187,s18,s184,s185,s201]) ).
cnf(s232,plain,
$false,
inference(rat,[],[s1,s199,s220]) ).
fof(f4080,plain,
$false,
inference(avatar_sat_refutation,[],[s232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC383+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:29:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.30/1.20 % (240319)Detected formulas, will run a generic FOF schedule.
% 2.30/1.20 % (240325)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2997672773:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.30/1.20 % (240329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=703398882:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.30/1.20 % (240328)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=649127052:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.30/1.20 % (240324)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4097126281:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.30/1.20 % (240326)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2372050573:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.30/1.20 % (240330)dis-21_1_sil=8000:lcm=predicate:random_seed=878013009:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.30/1.20 % (240327)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=241538493:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.30/1.20 % (240327)Refutation not found, incomplete strategy
% 2.30/1.20 % (240327)------------------------------
% 2.30/1.20 % (240327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.20 % (240327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.20 % (240327)CaDiCaL version: 2.1.3
% 2.30/1.20 % (240327)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.20 % (240327)Time elapsed: 0.005 s
% 2.30/1.20 % (240327)Peak memory usage: 88 MB
% 2.30/1.20 % (240327)Instructions burned: 6 (million)
% 2.30/1.20 % (240328)Instruction limit reached!
% 2.30/1.20 % (240328)------------------------------
% 2.30/1.20 % (240328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.20 % (240328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.20 % (240328)CaDiCaL version: 2.1.3
% 2.30/1.20 % (240328)Termination reason: Instruction limit
% 2.30/1.20 % (240328)Termination phase: Saturation
% 2.30/1.20 % (240328)Time elapsed: 0.070 s
% 2.30/1.20 % (240328)Peak memory usage: 88 MB
% 2.30/1.20 % (240328)Instructions burned: 121 (million)
% 2.30/1.20 % (240330)Instruction limit reached!
% 2.30/1.20 % (240330)------------------------------
% 2.30/1.20 % (240330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.20 % (240330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.20 % (240330)CaDiCaL version: 2.1.3
% 2.30/1.20 % (240330)Termination reason: Instruction limit
% 2.30/1.20 % (240330)Termination phase: Saturation
% 2.30/1.20 % (240330)Time elapsed: 0.071 s
% 2.30/1.20 % (240330)Peak memory usage: 90 MB
% 2.30/1.20 % (240330)Instructions burned: 131 (million)
% 2.30/1.20 % (240329)First to succeed.
% 2.30/1.20 % (240329)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-240319"
% 2.30/1.20 % (240339)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4208443147:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.30/1.20 % (240338)lrs+10_1_sil=8000:sp=occurrence:random_seed=3712732034:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.30/1.20 % (240327)------------------------------
% 2.30/1.20 % (240327)------------------------------
% 2.30/1.20 % (240339)Instruction limit reached!
% 2.30/1.20 % (240339)------------------------------
% 2.30/1.20 % (240339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.20 % (240339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.20 % (240339)CaDiCaL version: 2.1.3
% 2.30/1.20 % (240339)Termination reason: Instruction limit
% 2.30/1.20 % (240339)Termination phase: Saturation
% 2.30/1.20 % (240339)Time elapsed: 0.076 s
% 2.30/1.20 % (240339)Peak memory usage: 91 MB
% 2.30/1.20 % (240339)Instructions burned: 157 (million)
% 2.30/1.20 % (240329)Refutation found. Thanks to Tanya!
% 2.30/1.20 % SZS status Theorem for theBenchmark
% 2.30/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.40 % (240329)------------------------------
% 0.21/1.40 % (240329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.40 % (240329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.40 % (240329)CaDiCaL version: 2.1.3
% 0.21/1.40 % (240329)Termination reason: Refutation
% 0.21/1.40 % (240329)Time elapsed: 0.086 s
% 0.21/1.40 % (240329)Peak memory usage: 91 MB
% 0.21/1.40 % (240329)Instructions burned: 125 (million)
% 0.21/1.40 % (240329)------------------------------
% 0.21/1.40 % (240329)------------------------------
% 0.21/1.40 % (240319)Success in time 0.518 s
% 0.21/1.40 % Vampire exiting
%------------------------------------------------------------------------------