TSTP Solution File: NUM588+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:12:22 EDT 2023
% Result : Theorem 22.75s 3.72s
% Output : Refutation 22.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 39
% Syntax : Number of formulae : 170 ( 22 unt; 0 def)
% Number of atoms : 741 ( 106 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 922 ( 351 ~; 343 |; 170 &)
% ( 33 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 14 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 230 (; 199 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41782,plain,
$false,
inference(avatar_sat_refutation,[],[f2955,f3269,f3576,f3635,f3694,f7320,f7347,f7640,f7897,f7902,f7938,f34168,f41771,f41781]) ).
fof(f41781,plain,
( ~ spl33_1
| spl33_14 ),
inference(avatar_contradiction_clause,[],[f41780]) ).
fof(f41780,plain,
( $false
| ~ spl33_1
| spl33_14 ),
inference(subsumption_resolution,[],[f41779,f324]) ).
fof(f324,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',m__3533) ).
fof(f41779,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ spl33_1
| spl33_14 ),
inference(forward_demodulation,[],[f665,f41701]) ).
fof(f41701,plain,
( xk = sbrdtbr0(sK6)
| ~ spl33_1 ),
inference(resolution,[],[f524,f36386]) ).
fof(f36386,plain,
( ! [X14] :
( ~ aElementOf0(X14,sF32)
| xk = sbrdtbr0(X14) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f36385,f542]) ).
fof(f542,plain,
( aSet0(sK5)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl33_1
<=> aSet0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f36385,plain,
! [X14] :
( ~ aElementOf0(X14,sF32)
| xk = sbrdtbr0(X14)
| ~ aSet0(sK5) ),
inference(subsumption_resolution,[],[f36363,f324]) ).
fof(f36363,plain,
! [X14] :
( ~ aElementOf0(X14,sF32)
| xk = sbrdtbr0(X14)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK5) ),
inference(superposition,[],[f514,f523]) ).
fof(f523,plain,
slbdtsldtrb0(sK5,xk) = sF32,
introduced(function_definition,[]) ).
fof(f514,plain,
! [X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f463]) ).
fof(f463,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK27(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK27(X0,X1,X2),X0)
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK27(X0,X1,X2)) = X1
& aSubsetOf0(sK27(X0,X1,X2),X0) )
| aElementOf0(sK27(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f293,f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK27(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK27(X0,X1,X2),X0)
| ~ aElementOf0(sK27(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK27(X0,X1,X2)) = X1
& aSubsetOf0(sK27(X0,X1,X2),X0) )
| aElementOf0(sK27(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f291]) ).
fof(f291,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mDefSel) ).
fof(f524,plain,
aElementOf0(sK6,sF32),
inference(definition_folding,[],[f304,f523]) ).
fof(f304,plain,
aElementOf0(sK6,slbdtsldtrb0(sK5,xk)),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ~ aElementOf0(sK6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(sK6,slbdtsldtrb0(sK5,xk))
& aSet0(sK6)
& isCountable0(sK5)
& aSubsetOf0(sK5,sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))))
& aElementOf0(sK4,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f98,f220,f219,f218]) ).
fof(f218,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) )
=> ( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4)))) )
& aElementOf0(sK4,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4)))) )
=> ( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(X2,slbdtsldtrb0(sK5,xk))
& aSet0(X2) )
& isCountable0(sK5)
& aSubsetOf0(sK5,sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4)))) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(X2,slbdtsldtrb0(sK5,xk))
& aSet0(X2) )
=> ( ~ aElementOf0(sK6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk))
& aElementOf0(sK6,slbdtsldtrb0(sK5,xk))
& aSet0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ),
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',m__) ).
fof(f665,plain,
( ~ aElementOf0(sbrdtbr0(sK6),szNzAzT0)
| spl33_14 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl33_14
<=> aElementOf0(sbrdtbr0(sK6),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f41771,plain,
( ~ spl33_1
| ~ spl33_906 ),
inference(avatar_contradiction_clause,[],[f41770]) ).
fof(f41770,plain,
( $false
| ~ spl33_1
| ~ spl33_906 ),
inference(subsumption_resolution,[],[f41769,f522]) ).
fof(f522,plain,
~ aElementOf0(sK6,sF31),
inference(definition_folding,[],[f305,f521,f520,f519,f518,f518]) ).
fof(f518,plain,
sdtlpdtrp0(xN,sK4) = sF28,
introduced(function_definition,[]) ).
fof(f519,plain,
szmzizndt0(sF28) = sF29,
introduced(function_definition,[]) ).
fof(f520,plain,
sdtmndt0(sF28,sF29) = sF30,
introduced(function_definition,[]) ).
fof(f521,plain,
slbdtsldtrb0(sF30,xk) = sF31,
introduced(function_definition,[]) ).
fof(f305,plain,
~ aElementOf0(sK6,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4))),xk)),
inference(cnf_transformation,[],[f221]) ).
fof(f41769,plain,
( aElementOf0(sK6,sF31)
| ~ spl33_1
| ~ spl33_906 ),
inference(forward_demodulation,[],[f41752,f521]) ).
fof(f41752,plain,
( aElementOf0(sK6,slbdtsldtrb0(sF30,xk))
| ~ spl33_1
| ~ spl33_906 ),
inference(backward_demodulation,[],[f34167,f41701]) ).
fof(f34167,plain,
( aElementOf0(sK6,slbdtsldtrb0(sF30,sbrdtbr0(sK6)))
| ~ spl33_906 ),
inference(avatar_component_clause,[],[f34165]) ).
fof(f34165,plain,
( spl33_906
<=> aElementOf0(sK6,slbdtsldtrb0(sF30,sbrdtbr0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_906])]) ).
fof(f34168,plain,
( ~ spl33_14
| spl33_906
| ~ spl33_1
| ~ spl33_98
| ~ spl33_213 ),
inference(avatar_split_clause,[],[f34163,f7900,f1999,f541,f34165,f663]) ).
fof(f1999,plain,
( spl33_98
<=> aSet0(sF30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f7900,plain,
( spl33_213
<=> ! [X2] :
( aSubsetOf0(X2,sF30)
| ~ aSubsetOf0(X2,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_213])]) ).
fof(f34163,plain,
( aElementOf0(sK6,slbdtsldtrb0(sF30,sbrdtbr0(sK6)))
| ~ aElementOf0(sbrdtbr0(sK6),szNzAzT0)
| ~ spl33_1
| ~ spl33_98
| ~ spl33_213 ),
inference(subsumption_resolution,[],[f29390,f2000]) ).
fof(f2000,plain,
( aSet0(sF30)
| ~ spl33_98 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f29390,plain,
( aElementOf0(sK6,slbdtsldtrb0(sF30,sbrdtbr0(sK6)))
| ~ aElementOf0(sbrdtbr0(sK6),szNzAzT0)
| ~ aSet0(sF30)
| ~ spl33_1
| ~ spl33_213 ),
inference(resolution,[],[f29185,f513]) ).
fof(f513,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f512]) ).
fof(f512,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f464]) ).
fof(f464,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f29185,plain,
( aSubsetOf0(sK6,sF30)
| ~ spl33_1
| ~ spl33_213 ),
inference(resolution,[],[f29145,f7901]) ).
fof(f7901,plain,
( ! [X2] :
( ~ aSubsetOf0(X2,sK5)
| aSubsetOf0(X2,sF30) )
| ~ spl33_213 ),
inference(avatar_component_clause,[],[f7900]) ).
fof(f29145,plain,
( aSubsetOf0(sK6,sK5)
| ~ spl33_1 ),
inference(resolution,[],[f11134,f524]) ).
fof(f11134,plain,
( ! [X1] :
( ~ aElementOf0(X1,sF32)
| aSubsetOf0(X1,sK5) )
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f11133,f542]) ).
fof(f11133,plain,
! [X1] :
( ~ aElementOf0(X1,sF32)
| aSubsetOf0(X1,sK5)
| ~ aSet0(sK5) ),
inference(subsumption_resolution,[],[f11078,f324]) ).
fof(f11078,plain,
! [X1] :
( ~ aElementOf0(X1,sF32)
| aSubsetOf0(X1,sK5)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sK5) ),
inference(superposition,[],[f515,f523]) ).
fof(f515,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f462]) ).
fof(f462,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f7938,plain,
( ~ spl33_98
| spl33_1 ),
inference(avatar_split_clause,[],[f6403,f541,f1999]) ).
fof(f6403,plain,
( aSet0(sK5)
| ~ aSet0(sF30) ),
inference(resolution,[],[f378,f525]) ).
fof(f525,plain,
aSubsetOf0(sK5,sF30),
inference(definition_folding,[],[f301,f520,f519,f518,f518]) ).
fof(f301,plain,
aSubsetOf0(sK5,sdtmndt0(sdtlpdtrp0(xN,sK4),szmzizndt0(sdtlpdtrp0(xN,sK4)))),
inference(cnf_transformation,[],[f221]) ).
fof(f378,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK15(X0,X1),X0)
& aElementOf0(sK15(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f243,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK15(X0,X1),X0)
& aElementOf0(sK15(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mDefSub) ).
fof(f7902,plain,
( ~ spl33_1
| ~ spl33_98
| spl33_213 ),
inference(avatar_split_clause,[],[f7898,f7900,f1999,f541]) ).
fof(f7898,plain,
! [X2] :
( aSubsetOf0(X2,sF30)
| ~ aSubsetOf0(X2,sK5)
| ~ aSet0(sF30)
| ~ aSet0(sK5) ),
inference(subsumption_resolution,[],[f1996,f378]) ).
fof(f1996,plain,
! [X2] :
( aSubsetOf0(X2,sF30)
| ~ aSubsetOf0(X2,sK5)
| ~ aSet0(sF30)
| ~ aSet0(sK5)
| ~ aSet0(X2) ),
inference(resolution,[],[f525,f479]) ).
fof(f479,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mSubTrans) ).
fof(f7897,plain,
( spl33_141
| ~ spl33_143
| ~ spl33_144 ),
inference(avatar_contradiction_clause,[],[f7896]) ).
fof(f7896,plain,
( $false
| spl33_141
| ~ spl33_143
| ~ spl33_144 ),
inference(subsumption_resolution,[],[f7895,f3277]) ).
fof(f3277,plain,
( aSet0(sF28)
| ~ spl33_144 ),
inference(avatar_component_clause,[],[f3276]) ).
fof(f3276,plain,
( spl33_144
<=> aSet0(sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f7895,plain,
( ~ aSet0(sF28)
| spl33_141
| ~ spl33_143 ),
inference(subsumption_resolution,[],[f7894,f3273]) ).
fof(f3273,plain,
( aElement0(sF29)
| ~ spl33_143 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f3272,plain,
( spl33_143
<=> aElement0(sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
fof(f7894,plain,
( ~ aElement0(sF29)
| ~ aSet0(sF28)
| spl33_141 ),
inference(resolution,[],[f3263,f454]) ).
fof(f454,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f185,f216,f215]) ).
fof(f215,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f216,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> sP2(X1,X0,X2) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( sdtmndt0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mDefDiff) ).
fof(f3263,plain,
( ~ sP3(sF28,sF29)
| spl33_141 ),
inference(avatar_component_clause,[],[f3261]) ).
fof(f3261,plain,
( spl33_141
<=> sP3(sF28,sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
fof(f7640,plain,
( spl33_143
| ~ spl33_132
| ~ spl33_144 ),
inference(avatar_split_clause,[],[f7639,f3276,f2952,f3272]) ).
fof(f2952,plain,
( spl33_132
<=> aElementOf0(sF29,sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
fof(f7639,plain,
( aElement0(sF29)
| ~ spl33_132
| ~ spl33_144 ),
inference(subsumption_resolution,[],[f7603,f3277]) ).
fof(f7603,plain,
( aElement0(sF29)
| ~ aSet0(sF28)
| ~ spl33_132 ),
inference(resolution,[],[f2954,f374]) ).
fof(f374,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mEOfElem) ).
fof(f2954,plain,
( aElementOf0(sF29,sF28)
| ~ spl33_132 ),
inference(avatar_component_clause,[],[f2952]) ).
fof(f7347,plain,
( ~ spl33_147
| ~ spl33_144
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f7346,f3280,f3276,f3290]) ).
fof(f3290,plain,
( spl33_147
<=> isFinite0(sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_147])]) ).
fof(f3280,plain,
( spl33_145
<=> isCountable0(sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_145])]) ).
fof(f7346,plain,
( ~ isFinite0(sF28)
| ~ spl33_144
| ~ spl33_145 ),
inference(subsumption_resolution,[],[f3583,f3277]) ).
fof(f3583,plain,
( ~ isFinite0(sF28)
| ~ aSet0(sF28)
| ~ spl33_145 ),
inference(resolution,[],[f3281,f406]) ).
fof(f406,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ~ isFinite0(X0)
| ~ isCountable0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( isCountable0(X0)
& aSet0(X0) )
=> ~ isFinite0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mCountNFin) ).
fof(f3281,plain,
( isCountable0(sF28)
| ~ spl33_145 ),
inference(avatar_component_clause,[],[f3280]) ).
fof(f7320,plain,
( spl33_144
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f7319,f2920,f3276]) ).
fof(f2920,plain,
( spl33_126
<=> aSubsetOf0(sF28,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f7319,plain,
( aSet0(sF28)
| ~ spl33_126 ),
inference(subsumption_resolution,[],[f7285,f341]) ).
fof(f341,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mNATSet) ).
fof(f7285,plain,
( aSet0(sF28)
| ~ aSet0(szNzAzT0)
| ~ spl33_126 ),
inference(resolution,[],[f2921,f378]) ).
fof(f2921,plain,
( aSubsetOf0(sF28,szNzAzT0)
| ~ spl33_126 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f3694,plain,
( ~ spl33_127
| spl33_147 ),
inference(avatar_contradiction_clause,[],[f3693]) ).
fof(f3693,plain,
( $false
| ~ spl33_127
| spl33_147 ),
inference(subsumption_resolution,[],[f3666,f338]) ).
fof(f338,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mEmpFin) ).
fof(f3666,plain,
( ~ isFinite0(slcrc0)
| ~ spl33_127
| spl33_147 ),
inference(backward_demodulation,[],[f3292,f2926]) ).
fof(f2926,plain,
( slcrc0 = sF28
| ~ spl33_127 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f2924,plain,
( spl33_127
<=> slcrc0 = sF28 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f3292,plain,
( ~ isFinite0(sF28)
| spl33_147 ),
inference(avatar_component_clause,[],[f3290]) ).
fof(f3635,plain,
spl33_126,
inference(avatar_split_clause,[],[f3634,f2920]) ).
fof(f3634,plain,
aSubsetOf0(sF28,szNzAzT0),
inference(subsumption_resolution,[],[f3607,f300]) ).
fof(f300,plain,
aElementOf0(sK4,szNzAzT0),
inference(cnf_transformation,[],[f221]) ).
fof(f3607,plain,
( aSubsetOf0(sF28,szNzAzT0)
| ~ aElementOf0(sK4,szNzAzT0) ),
inference(superposition,[],[f329,f518]) ).
fof(f329,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',m__3671) ).
fof(f3576,plain,
spl33_145,
inference(avatar_split_clause,[],[f3558,f3280]) ).
fof(f3558,plain,
isCountable0(sF28),
inference(forward_demodulation,[],[f3530,f518]) ).
fof(f3530,plain,
isCountable0(sdtlpdtrp0(xN,sK4)),
inference(resolution,[],[f330,f300]) ).
fof(f330,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f3269,plain,
( ~ spl33_141
| spl33_98 ),
inference(avatar_split_clause,[],[f3268,f1999,f3261]) ).
fof(f3268,plain,
( ~ sP3(sF28,sF29)
| spl33_98 ),
inference(subsumption_resolution,[],[f3254,f2380]) ).
fof(f2380,plain,
( ! [X0,X1] : ~ sP2(X0,X1,sF30)
| spl33_98 ),
inference(resolution,[],[f2001,f445]) ).
fof(f445,plain,
! [X2,X0,X1] :
( aSet0(X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( sK24(X0,X1,X2) = X0
| ~ aElementOf0(sK24(X0,X1,X2),X1)
| ~ aElement0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2) )
& ( ( sK24(X0,X1,X2) != X0
& aElementOf0(sK24(X0,X1,X2),X1)
& aElement0(sK24(X0,X1,X2)) )
| aElementOf0(sK24(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f284,f285]) ).
fof(f285,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
=> ( ( sK24(X0,X1,X2) = X0
| ~ aElementOf0(sK24(X0,X1,X2),X1)
| ~ aElement0(sK24(X0,X1,X2))
| ~ aElementOf0(sK24(X0,X1,X2),X2) )
& ( ( sK24(X0,X1,X2) != X0
& aElementOf0(sK24(X0,X1,X2),X1)
& aElement0(sK24(X0,X1,X2)) )
| aElementOf0(sK24(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( X0 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X0 != X3
& aElementOf0(X3,X1)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| X0 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4) )
& ( ( X0 != X4
& aElementOf0(X4,X1)
& aElement0(X4) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f283]) ).
fof(f283,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f282]) ).
fof(f282,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X2) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f215]) ).
fof(f2001,plain,
( ~ aSet0(sF30)
| spl33_98 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f3254,plain,
( sP2(sF29,sF28,sF30)
| ~ sP3(sF28,sF29) ),
inference(superposition,[],[f510,f520]) ).
fof(f510,plain,
! [X0,X1] :
( sP2(X1,X0,sdtmndt0(X0,X1))
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f443]) ).
fof(f443,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f216]) ).
fof(f2955,plain,
( ~ spl33_126
| spl33_127
| spl33_132 ),
inference(avatar_split_clause,[],[f2917,f2952,f2924,f2920]) ).
fof(f2917,plain,
( aElementOf0(sF29,sF28)
| slcrc0 = sF28
| ~ aSubsetOf0(sF28,szNzAzT0) ),
inference(superposition,[],[f500,f519]) ).
fof(f500,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f415]) ).
fof(f415,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ( ~ sdtlseqdt0(X1,sK20(X0,X1))
& aElementOf0(sK20(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f262,f263]) ).
fof(f263,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(X1,sK20(X0,X1))
& aElementOf0(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzizndt0(X0) != X1 ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225',mDefMin) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM588+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 17:57:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Okixd9ci1t/Vampire---4.8_17225
% 0.15/0.37 % (17539)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17541)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43 % (17542)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.43 % (17540)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.21/0.43 % (17545)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.43 % (17544)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (17543)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43 % (17546)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 22.75/3.71 % (17542)First to succeed.
% 22.75/3.72 % (17542)Refutation found. Thanks to Tanya!
% 22.75/3.72 % SZS status Theorem for Vampire---4
% 22.75/3.72 % SZS output start Proof for Vampire---4
% See solution above
% 22.75/3.72 % (17542)------------------------------
% 22.75/3.72 % (17542)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 22.75/3.72 % (17542)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 22.75/3.72 % (17542)Termination reason: Refutation
% 22.75/3.72
% 22.75/3.72 % (17542)Memory used [KB]: 48869
% 22.75/3.72 % (17542)Time elapsed: 3.292 s
% 22.75/3.72 % (17542)------------------------------
% 22.75/3.72 % (17542)------------------------------
% 22.75/3.72 % (17539)Success in time 3.279 s
% 22.75/3.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------